neurodoro_sandbox.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Step 1: Pull in Data, preprocess it.\n",
    "\n",
    "Here I'm using example data from the BioSENSE research group at UC Berekely, collected using a Neurosky device. Simpler than our device, as it only has one sensor at fp2, in comparison to our four. But the essence of the code should be the same.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import json\n",
    "import pandas as pd\n",
    "import tensorflow as tf\n",
    "import numpy as np\n",
    "\n",
    "df = pd.read_csv(\"kaggle_data/eeg-data.csv\")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
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       "      <th>browser_latency</th>\n",
       "      <th>reading_time</th>\n",
       "      <th>attention_esense</th>\n",
       "      <th>meditation_esense</th>\n",
       "      <th>eeg_power</th>\n",
       "      <th>raw_values</th>\n",
       "      <th>signal_quality</th>\n",
       "      <th>createdAt</th>\n",
       "      <th>updatedAt</th>\n",
       "      <th>label</th>\n",
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       "      <td>2015-05-09 23:13:39.549+00</td>\n",
       "      <td>unlabeled</td>\n",
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       "      <td>3732</td>\n",
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       "      <td>200</td>\n",
       "      <td>2015-05-09 23:13:42.532</td>\n",
       "      <td>2015-05-09 23:13:42.532+00</td>\n",
       "      <td>unlabeled</td>\n",
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       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>3737</td>\n",
       "      <td>12</td>\n",
       "      <td>2015-05-09 23:13:46.201</td>\n",
       "      <td>1460</td>\n",
       "      <td>2015-05-09 16:13:44.936</td>\n",
       "      <td>0</td>\n",
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       "      <td>200</td>\n",
       "      <td>2015-05-09 23:13:43.532</td>\n",
       "      <td>2015-05-09 23:13:43.532+00</td>\n",
       "      <td>unlabeled</td>\n",
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       "   Unnamed: 0  id               indra_time browser_latency  \\\n",
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       "4        3737  12  2015-05-09 23:13:46.201            1460   \n",
       "\n",
       "              reading_time  attention_esense  meditation_esense  \\\n",
       "0  2015-05-09 16:13:40.954                 0                  0   \n",
       "1  2015-05-09 16:13:41.964                 0                  0   \n",
       "2  2015-05-09 16:13:42.950                 0                  0   \n",
       "3  2015-05-09 16:13:43.935                 0                  0   \n",
       "4  2015-05-09 16:13:44.936                 0                  0   \n",
       "\n",
       "                                           eeg_power  \\\n",
       "0  [944412.0, 111373.0, 52404.0, 28390.0, 3237.0,...   \n",
       "1  [1793049.0, 89551.0, 3896.0, 21727.0, 9301.0, ...   \n",
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       "4  [268406.0, 197772.0, 190654.0, 266433.0, 91683...   \n",
       "\n",
       "                                          raw_values  signal_quality  \\\n",
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       "4  [1905.0, 1836.0, 1770.0, 1707.0, 1645.0, 1587....             200   \n",
       "\n",
       "                 createdAt                   updatedAt      label  \n",
       "0  2015-05-09 23:13:39.550  2015-05-09 23:13:39.549+00  unlabeled  \n",
       "1  2015-05-09 23:13:40.559  2015-05-09 23:13:40.559+00  unlabeled  \n",
       "2  2015-05-09 23:13:41.549  2015-05-09 23:13:41.549+00  unlabeled  \n",
       "3  2015-05-09 23:13:42.532  2015-05-09 23:13:42.532+00  unlabeled  \n",
       "4  2015-05-09 23:13:43.532  2015-05-09 23:13:43.532+00  unlabeled  "
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
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       "      <th>attention_esense</th>\n",
       "      <th>meditation_esense</th>\n",
       "      <th>eeg_power</th>\n",
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       "      <th>signal_quality</th>\n",
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       "      <th>13809</th>\n",
       "      <td>27666</td>\n",
       "      <td>8</td>\n",
       "      <td>2015-05-09 23:33:29.483</td>\n",
       "      <td>-40</td>\n",
       "      <td>2015-05-09 16:33:29.532</td>\n",
       "      <td>14</td>\n",
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       "      <td>6</td>\n",
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       "      <td>2015-05-09 16:33:31.132</td>\n",
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       "      <td>51</td>\n",
       "      <td>2015-05-09 23:33:29.722</td>\n",
       "      <td>2015-05-09 23:33:29.722+00</td>\n",
       "      <td>math1</td>\n",
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       "    <tr>\n",
       "      <th>13812</th>\n",
       "      <td>2463</td>\n",
       "      <td>11</td>\n",
       "      <td>2015-05-09 23:33:29.599</td>\n",
       "      <td>-179</td>\n",
       "      <td>2015-05-09 16:33:29.976</td>\n",
       "      <td>41</td>\n",
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       "      <td>2015-05-09 23:33:08.765+00</td>\n",
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       "    <tr>\n",
       "      <th>13814</th>\n",
       "      <td>24387</td>\n",
       "      <td>5</td>\n",
       "      <td>2015-05-09 23:33:29.696</td>\n",
       "      <td>1021</td>\n",
       "      <td>2015-05-09 16:33:28.895</td>\n",
       "      <td>44</td>\n",
       "      <td>81</td>\n",
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       "      <td>0</td>\n",
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       "      <td>2015-05-09 23:33:27.93+00</td>\n",
       "      <td>math1</td>\n",
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       "    <tr>\n",
       "      <th>13815</th>\n",
       "      <td>26915</td>\n",
       "      <td>7</td>\n",
       "      <td>2015-05-09 23:33:29.701</td>\n",
       "      <td>13</td>\n",
       "      <td>2015-05-09 16:33:29.868</td>\n",
       "      <td>27</td>\n",
       "      <td>51</td>\n",
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       "      <td>[98.0, 86.0, 86.0, 93.0, 106.0, 114.0, 105.0, ...</td>\n",
       "      <td>0</td>\n",
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       "      <td>2015-05-09 23:33:29.917+00</td>\n",
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       "    <tr>\n",
       "      <th>13816</th>\n",
       "      <td>21254</td>\n",
       "      <td>3</td>\n",
       "      <td>2015-05-09 23:33:29.732</td>\n",
       "      <td>14853</td>\n",
       "      <td>2015-05-09 16:33:14.873</td>\n",
       "      <td>63</td>\n",
       "      <td>63</td>\n",
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       "      <td>[-8.0, -9.0, -1.0, 5.0, 11.0, 19.0, 11.0, 7.0,...</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:33:00.130</td>\n",
       "      <td>2015-05-09 23:33:00.13+00</td>\n",
       "      <td>math1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13817</th>\n",
       "      <td>7337</td>\n",
       "      <td>15</td>\n",
       "      <td>2015-05-09 23:33:29.831</td>\n",
       "      <td>9268</td>\n",
       "      <td>2015-05-09 16:33:20.557</td>\n",
       "      <td>27</td>\n",
       "      <td>70</td>\n",
       "      <td>[71562.0, 109854.0, 292237.0, 31694.0, 22669.0...</td>\n",
       "      <td>[8.0, -5.0, 5.0, 23.0, 0.0, -41.0, -46.0, -23....</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:33:11.350</td>\n",
       "      <td>2015-05-09 23:33:11.35+00</td>\n",
       "      <td>math1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13818</th>\n",
       "      <td>572</td>\n",
       "      <td>1</td>\n",
       "      <td>2015-05-09 23:33:29.889</td>\n",
       "      <td>13403</td>\n",
       "      <td>2015-05-09 16:33:16.744</td>\n",
       "      <td>50</td>\n",
       "      <td>93</td>\n",
       "      <td>[17269.0, 46755.0, 7453.0, 41606.0, 30618.0, 8...</td>\n",
       "      <td>[73.0, 69.0, 70.0, 87.0, 104.0, 107.0, 109.0, ...</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:33:03.399</td>\n",
       "      <td>2015-05-09 23:33:03.399+00</td>\n",
       "      <td>math1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13819</th>\n",
       "      <td>23013</td>\n",
       "      <td>4</td>\n",
       "      <td>2015-05-09 23:33:29.898</td>\n",
       "      <td>7691</td>\n",
       "      <td>2015-05-09 19:33:22.333</td>\n",
       "      <td>24</td>\n",
       "      <td>100</td>\n",
       "      <td>[9018.0, 39612.0, 77045.0, 4782.0, 9079.0, 724...</td>\n",
       "      <td>[23.0, 16.0, 23.0, 29.0, 33.0, 27.0, 24.0, 19....</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:33:14.700</td>\n",
       "      <td>2015-05-09 23:33:14.7+00</td>\n",
       "      <td>math1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13820</th>\n",
       "      <td>12668</td>\n",
       "      <td>2</td>\n",
       "      <td>2015-05-09 23:33:29.927</td>\n",
       "      <td>26</td>\n",
       "      <td>2015-05-09 16:33:30.164</td>\n",
       "      <td>30</td>\n",
       "      <td>53</td>\n",
       "      <td>[548827.0, 184431.0, 21349.0, 48059.0, 13182.0...</td>\n",
       "      <td>[68.0, 57.0, 43.0, 41.0, 40.0, 36.0, 39.0, 50....</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:33:30.200</td>\n",
       "      <td>2015-05-09 23:33:30.2+00</td>\n",
       "      <td>math1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13821</th>\n",
       "      <td>6083</td>\n",
       "      <td>14</td>\n",
       "      <td>2015-05-09 23:33:29.958</td>\n",
       "      <td>726</td>\n",
       "      <td>2015-05-09 16:33:29.505</td>\n",
       "      <td>27</td>\n",
       "      <td>69</td>\n",
       "      <td>[532615.0, 39074.0, 17091.0, 7961.0, 7427.0, 3...</td>\n",
       "      <td>[-21.0, -34.0, -29.0, -12.0, 4.0, 23.0, 33.0, ...</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:33:28.844</td>\n",
       "      <td>2015-05-09 23:33:28.844+00</td>\n",
       "      <td>math1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13822</th>\n",
       "      <td>4895</td>\n",
       "      <td>13</td>\n",
       "      <td>2015-05-09 23:33:30.133</td>\n",
       "      <td>-293</td>\n",
       "      <td>2015-05-09 16:33:30.593</td>\n",
       "      <td>43</td>\n",
       "      <td>50</td>\n",
       "      <td>[346371.0, 195046.0, 53390.0, 97709.0, 22227.0...</td>\n",
       "      <td>[-54.0, -78.0, -29.0, 49.0, 65.0, 19.0, -23.0,...</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:33:30.954</td>\n",
       "      <td>2015-05-09 23:33:30.954+00</td>\n",
       "      <td>math1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13823</th>\n",
       "      <td>3427</td>\n",
       "      <td>12</td>\n",
       "      <td>2015-05-09 23:33:30.316</td>\n",
       "      <td>1504</td>\n",
       "      <td>2015-05-09 16:33:28.877</td>\n",
       "      <td>64</td>\n",
       "      <td>91</td>\n",
       "      <td>[24322.0, 12393.0, 18707.0, 18054.0, 6422.0, 1...</td>\n",
       "      <td>[-2.0, 23.0, 21.0, 16.0, 20.0, 25.0, 24.0, 17....</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:33:27.425</td>\n",
       "      <td>2015-05-09 23:33:27.425+00</td>\n",
       "      <td>math1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13824</th>\n",
       "      <td>27667</td>\n",
       "      <td>8</td>\n",
       "      <td>2015-05-09 23:33:30.389</td>\n",
       "      <td>-40</td>\n",
       "      <td>2015-05-09 16:33:30.530</td>\n",
       "      <td>23</td>\n",
       "      <td>41</td>\n",
       "      <td>[182280.0, 64319.0, 8527.0, 3150.0, 17497.0, 4...</td>\n",
       "      <td>[12.0, -17.0, -13.0, -1.0, 0.0, -23.0, -49.0, ...</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:33:30.635</td>\n",
       "      <td>2015-05-09 23:33:30.635+00</td>\n",
       "      <td>math1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13825</th>\n",
       "      <td>25825</td>\n",
       "      <td>6</td>\n",
       "      <td>2015-05-09 23:33:30.397</td>\n",
       "      <td>-1,561</td>\n",
       "      <td>2015-05-09 16:33:32.124</td>\n",
       "      <td>34</td>\n",
       "      <td>23</td>\n",
       "      <td>[56140.0, 131106.0, 22100.0, 3186.0, 18234.0, ...</td>\n",
       "      <td>[13.0, 8.0, 12.0, 7.0, 0.0, 2.0, 4.0, 6.0, -1....</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:33:33.742</td>\n",
       "      <td>2015-05-09 23:33:33.742+00</td>\n",
       "      <td>math1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13826</th>\n",
       "      <td>1263</td>\n",
       "      <td>10</td>\n",
       "      <td>2015-05-09 23:33:30.444</td>\n",
       "      <td>-18</td>\n",
       "      <td>2015-05-09 16:33:30.652</td>\n",
       "      <td>37</td>\n",
       "      <td>70</td>\n",
       "      <td>[1038633.0, 24009.0, 8498.0, 11596.0, 5250.0, ...</td>\n",
       "      <td>[736.0, 822.0, 897.0, 919.0, 889.0, 882.0, 936...</td>\n",
       "      <td>26</td>\n",
       "      <td>2015-05-09 23:33:30.737</td>\n",
       "      <td>2015-05-09 23:33:30.737+00</td>\n",
       "      <td>math1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13827</th>\n",
       "      <td>2464</td>\n",
       "      <td>11</td>\n",
       "      <td>2015-05-09 23:33:30.498</td>\n",
       "      <td>-179</td>\n",
       "      <td>2015-05-09 16:33:30.946</td>\n",
       "      <td>24</td>\n",
       "      <td>41</td>\n",
       "      <td>[44631.0, 28182.0, 6531.0, 4433.0, 2829.0, 205...</td>\n",
       "      <td>[68.0, 39.0, 11.0, 4.0, 22.0, 59.0, 85.0, 73.0...</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:33:31.184</td>\n",
       "      <td>2015-05-09 23:33:31.184+00</td>\n",
       "      <td>math1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13828</th>\n",
       "      <td>29081</td>\n",
       "      <td>9</td>\n",
       "      <td>2015-05-09 23:33:30.593</td>\n",
       "      <td>10589</td>\n",
       "      <td>2015-05-09 16:33:20.135</td>\n",
       "      <td>27</td>\n",
       "      <td>74</td>\n",
       "      <td>[346173.0, 21553.0, 7358.0, 2550.0, 2025.0, 29...</td>\n",
       "      <td>[-51.0, -35.0, -18.0, -17.0, -34.0, -57.0, -86...</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:33:09.697</td>\n",
       "      <td>2015-05-09 23:33:09.697+00</td>\n",
       "      <td>math1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13829</th>\n",
       "      <td>24388</td>\n",
       "      <td>5</td>\n",
       "      <td>2015-05-09 23:33:30.604</td>\n",
       "      <td>1022</td>\n",
       "      <td>2015-05-09 16:33:29.877</td>\n",
       "      <td>54</td>\n",
       "      <td>74</td>\n",
       "      <td>[270590.0, 35407.0, 16473.0, 34913.0, 6196.0, ...</td>\n",
       "      <td>[90.0, 75.0, 60.0, 65.0, 82.0, 89.0, 75.0, 57....</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:33:28.911</td>\n",
       "      <td>2015-05-09 23:33:28.911+00</td>\n",
       "      <td>math1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13830</th>\n",
       "      <td>26916</td>\n",
       "      <td>7</td>\n",
       "      <td>2015-05-09 23:33:30.613</td>\n",
       "      <td>13</td>\n",
       "      <td>2015-05-09 16:33:30.840</td>\n",
       "      <td>50</td>\n",
       "      <td>38</td>\n",
       "      <td>[55650.0, 28674.0, 5821.0, 13657.0, 11440.0, 5...</td>\n",
       "      <td>[-243.0, -244.0, -234.0, -234.0, -235.0, -243....</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:33:30.889</td>\n",
       "      <td>2015-05-09 23:33:30.889+00</td>\n",
       "      <td>math1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13831</th>\n",
       "      <td>21255</td>\n",
       "      <td>3</td>\n",
       "      <td>2015-05-09 23:33:30.640</td>\n",
       "      <td>14853</td>\n",
       "      <td>2015-05-09 16:33:15.853</td>\n",
       "      <td>51</td>\n",
       "      <td>78</td>\n",
       "      <td>[20730.0, 26625.0, 5139.0, 109080.0, 26955.0, ...</td>\n",
       "      <td>[36.0, 48.0, 55.0, 58.0, 64.0, 68.0, 58.0, 55....</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:33:01.284</td>\n",
       "      <td>2015-05-09 23:33:01.284+00</td>\n",
       "      <td>math1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13832</th>\n",
       "      <td>7339</td>\n",
       "      <td>15</td>\n",
       "      <td>2015-05-09 23:33:30.747</td>\n",
       "      <td>9268</td>\n",
       "      <td>2015-05-09 16:33:21.579</td>\n",
       "      <td>23</td>\n",
       "      <td>69</td>\n",
       "      <td>[66886.0, 19258.0, 34078.0, 8899.0, 4379.0, 22...</td>\n",
       "      <td>[-60.0, -66.0, -65.0, -56.0, -51.0, -50.0, -42...</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:33:12.371</td>\n",
       "      <td>2015-05-09 23:33:12.371+00</td>\n",
       "      <td>math1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23354</th>\n",
       "      <td>14739</td>\n",
       "      <td>22</td>\n",
       "      <td>2015-05-09 23:44:26.864</td>\n",
       "      <td>7686</td>\n",
       "      <td>2015-05-09 19:44:19.174</td>\n",
       "      <td>37</td>\n",
       "      <td>94</td>\n",
       "      <td>[28655.0, 16334.0, 7645.0, 61328.0, 8595.0, 11...</td>\n",
       "      <td>[-18.0, -7.0, 11.0, 17.0, 13.0, 10.0, 5.0, 0.0...</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:11.545</td>\n",
       "      <td>2015-05-09 23:44:11.545+00</td>\n",
       "      <td>math1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23355</th>\n",
       "      <td>14046</td>\n",
       "      <td>20</td>\n",
       "      <td>2015-05-09 23:44:27.092</td>\n",
       "      <td>1015</td>\n",
       "      <td>2015-05-09 16:44:26.098</td>\n",
       "      <td>84</td>\n",
       "      <td>64</td>\n",
       "      <td>[53270.0, 22247.0, 3402.0, 12503.0, 9856.0, 66...</td>\n",
       "      <td>[69.0, 35.0, 51.0, 105.0, 154.0, 172.0, 163.0,...</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:25.143</td>\n",
       "      <td>2015-05-09 23:44:25.143+00</td>\n",
       "      <td>math1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23356</th>\n",
       "      <td>19801</td>\n",
       "      <td>29</td>\n",
       "      <td>2015-05-09 23:44:27.112</td>\n",
       "      <td>954520</td>\n",
       "      <td>2015-05-09 17:00:21.577</td>\n",
       "      <td>26</td>\n",
       "      <td>57</td>\n",
       "      <td>[455685.0, 63784.0, 3981.0, 7622.0, 4884.0, 60...</td>\n",
       "      <td>[53.0, 22.0, 33.0, 64.0, 70.0, 59.0, 50.0, 51....</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:27.112</td>\n",
       "      <td>2015-05-09 23:44:27.112+00</td>\n",
       "      <td>math1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23357</th>\n",
       "      <td>20372</td>\n",
       "      <td>29</td>\n",
       "      <td>2015-05-09 23:44:27.112</td>\n",
       "      <td>954520</td>\n",
       "      <td>2015-05-09 17:00:21.577</td>\n",
       "      <td>26</td>\n",
       "      <td>57</td>\n",
       "      <td>[455685.0, 63784.0, 3981.0, 7622.0, 4884.0, 60...</td>\n",
       "      <td>[53.0, 22.0, 33.0, 64.0, 70.0, 59.0, 50.0, 51....</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:27.112</td>\n",
       "      <td>2015-05-09 23:44:27.112+00</td>\n",
       "      <td>math1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23358</th>\n",
       "      <td>11431</td>\n",
       "      <td>19</td>\n",
       "      <td>2015-05-09 23:44:27.127</td>\n",
       "      <td>14879</td>\n",
       "      <td>2015-05-09 16:44:12.384</td>\n",
       "      <td>37</td>\n",
       "      <td>80</td>\n",
       "      <td>[464158.0, 72935.0, 12996.0, 12294.0, 3770.0, ...</td>\n",
       "      <td>[65.0, 57.0, 33.0, 23.0, 20.0, 2.0, 21.0, 42.0...</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:43:57.687</td>\n",
       "      <td>2015-05-09 23:43:57.687+00</td>\n",
       "      <td>math1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23359</th>\n",
       "      <td>8718</td>\n",
       "      <td>16</td>\n",
       "      <td>2015-05-09 23:44:27.137</td>\n",
       "      <td>-52</td>\n",
       "      <td>2015-05-09 16:44:27.440</td>\n",
       "      <td>13</td>\n",
       "      <td>50</td>\n",
       "      <td>[58735.0, 16411.0, 1329.0, 7652.0, 591.0, 8002...</td>\n",
       "      <td>[43.0, 39.0, 37.0, 24.0, 8.0, 10.0, 25.0, 32.0...</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:27.559</td>\n",
       "      <td>2015-05-09 23:44:27.559+00</td>\n",
       "      <td>math1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23360</th>\n",
       "      <td>15912</td>\n",
       "      <td>24</td>\n",
       "      <td>2015-05-09 23:44:27.172</td>\n",
       "      <td>-1,570</td>\n",
       "      <td>2015-05-09 16:44:28.814</td>\n",
       "      <td>57</td>\n",
       "      <td>44</td>\n",
       "      <td>[61005.0, 107502.0, 2903.0, 8912.0, 14029.0, 1...</td>\n",
       "      <td>[-210.0, -29.0, 20.0, -49.0, -166.0, -290.0, -...</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:30.441</td>\n",
       "      <td>2015-05-09 23:44:30.441+00</td>\n",
       "      <td>math1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23361</th>\n",
       "      <td>15363</td>\n",
       "      <td>23</td>\n",
       "      <td>2015-05-09 23:44:27.181</td>\n",
       "      <td>1534</td>\n",
       "      <td>2015-05-09 16:44:25.702</td>\n",
       "      <td>61</td>\n",
       "      <td>66</td>\n",
       "      <td>[205199.0, 24555.0, 44424.0, 23740.0, 10878.0,...</td>\n",
       "      <td>[-4.0, 0.0, 7.0, 16.0, 5.0, 5.0, 28.0, 42.0, 4...</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:24.230</td>\n",
       "      <td>2015-05-09 23:44:24.23+00</td>\n",
       "      <td>math1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23362</th>\n",
       "      <td>22351</td>\n",
       "      <td>30</td>\n",
       "      <td>2015-05-09 23:44:27.303</td>\n",
       "      <td>760</td>\n",
       "      <td>2015-05-09 16:44:26.589</td>\n",
       "      <td>53</td>\n",
       "      <td>48</td>\n",
       "      <td>[700874.0, 64196.0, 26197.0, 62197.0, 12148.0,...</td>\n",
       "      <td>[18.0, 17.0, 33.0, 60.0, 58.0, 34.0, 23.0, 43....</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:25.884</td>\n",
       "      <td>2015-05-09 23:44:25.884+00</td>\n",
       "      <td>math1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23363</th>\n",
       "      <td>17781</td>\n",
       "      <td>26</td>\n",
       "      <td>2015-05-09 23:44:27.310</td>\n",
       "      <td>-1,167</td>\n",
       "      <td>2015-05-09 16:44:29.097</td>\n",
       "      <td>78</td>\n",
       "      <td>44</td>\n",
       "      <td>[32528.0, 27443.0, 6218.0, 8195.0, 16992.0, 68...</td>\n",
       "      <td>[70.0, 80.0, 89.0, 93.0, 84.0, 70.0, 71.0, 85....</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:30.328</td>\n",
       "      <td>2015-05-09 23:44:30.328+00</td>\n",
       "      <td>math1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23364</th>\n",
       "      <td>18302</td>\n",
       "      <td>27</td>\n",
       "      <td>2015-05-09 23:44:27.452</td>\n",
       "      <td>-937</td>\n",
       "      <td>2015-05-09 16:44:28.431</td>\n",
       "      <td>75</td>\n",
       "      <td>26</td>\n",
       "      <td>[865839.0, 48548.0, 19106.0, 18469.0, 4770.0, ...</td>\n",
       "      <td>[57.0, 36.0, 27.0, 11.0, 5.0, 10.0, 17.0, 20.0...</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:29.431</td>\n",
       "      <td>2015-05-09 23:44:29.431+00</td>\n",
       "      <td>math1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23365</th>\n",
       "      <td>9388</td>\n",
       "      <td>17</td>\n",
       "      <td>2015-05-09 23:44:27.518</td>\n",
       "      <td>47</td>\n",
       "      <td>2015-05-09 16:44:28.547</td>\n",
       "      <td>48</td>\n",
       "      <td>47</td>\n",
       "      <td>[24687.0, 26126.0, 8673.0, 6847.0, 17963.0, 58...</td>\n",
       "      <td>[11.0, 48.0, 76.0, 85.0, 85.0, 83.0, 98.0, 118...</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:28.578</td>\n",
       "      <td>2015-05-09 23:44:28.578+00</td>\n",
       "      <td>math1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23366</th>\n",
       "      <td>9387</td>\n",
       "      <td>17</td>\n",
       "      <td>2015-05-09 23:44:27.518</td>\n",
       "      <td>47</td>\n",
       "      <td>2015-05-09 16:44:27.546</td>\n",
       "      <td>48</td>\n",
       "      <td>51</td>\n",
       "      <td>[31092.0, 4994.0, 1872.0, 9399.0, 5875.0, 6557...</td>\n",
       "      <td>[39.0, 38.0, 38.0, 50.0, 68.0, 60.0, 27.0, 19....</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:27.572</td>\n",
       "      <td>2015-05-09 23:44:27.572+00</td>\n",
       "      <td>math1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23367</th>\n",
       "      <td>10875</td>\n",
       "      <td>18</td>\n",
       "      <td>2015-05-09 23:44:27.706</td>\n",
       "      <td>-985</td>\n",
       "      <td>2015-05-09 16:44:28.976</td>\n",
       "      <td>44</td>\n",
       "      <td>64</td>\n",
       "      <td>[1701233.0, 762368.0, 228436.0, 29008.0, 17542...</td>\n",
       "      <td>[87.0, 134.0, 170.0, 168.0, 170.0, 167.0, 178....</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:30.029</td>\n",
       "      <td>2015-05-09 23:44:30.029+00</td>\n",
       "      <td>math1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23368</th>\n",
       "      <td>19452</td>\n",
       "      <td>28</td>\n",
       "      <td>2015-05-09 23:44:27.758</td>\n",
       "      <td>-327</td>\n",
       "      <td>2015-05-09 16:44:28.270</td>\n",
       "      <td>60</td>\n",
       "      <td>40</td>\n",
       "      <td>[1120375.0, 59023.0, 41160.0, 13340.0, 11043.0...</td>\n",
       "      <td>[2.0, 42.0, 61.0, 82.0, 106.0, 145.0, 146.0, 1...</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:28.655</td>\n",
       "      <td>2015-05-09 23:44:28.655+00</td>\n",
       "      <td>math1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23369</th>\n",
       "      <td>14740</td>\n",
       "      <td>22</td>\n",
       "      <td>2015-05-09 23:44:27.774</td>\n",
       "      <td>7686</td>\n",
       "      <td>2015-05-09 19:44:20.207</td>\n",
       "      <td>47</td>\n",
       "      <td>94</td>\n",
       "      <td>[71181.0, 24360.0, 16518.0, 63820.0, 6579.0, 1...</td>\n",
       "      <td>[-23.0, -9.0, 12.0, 28.0, 32.0, 21.0, 26.0, 41...</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:12.581</td>\n",
       "      <td>2015-05-09 23:44:12.581+00</td>\n",
       "      <td>math1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23370</th>\n",
       "      <td>14320</td>\n",
       "      <td>21</td>\n",
       "      <td>2015-05-09 23:44:27.821</td>\n",
       "      <td>-46</td>\n",
       "      <td>2015-05-09 16:44:27.953</td>\n",
       "      <td>16</td>\n",
       "      <td>61</td>\n",
       "      <td>[114452.0, 20224.0, 874.0, 3019.0, 1365.0, 106...</td>\n",
       "      <td>[26.0, 23.0, 12.0, 6.0, 6.0, 24.0, 43.0, 48.0,...</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:28.056</td>\n",
       "      <td>2015-05-09 23:44:28.056+00</td>\n",
       "      <td>math1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23371</th>\n",
       "      <td>14047</td>\n",
       "      <td>20</td>\n",
       "      <td>2015-05-09 23:44:27.998</td>\n",
       "      <td>1015</td>\n",
       "      <td>2015-05-09 16:44:27.108</td>\n",
       "      <td>74</td>\n",
       "      <td>67</td>\n",
       "      <td>[422563.0, 89248.0, 57397.0, 18760.0, 11596.0,...</td>\n",
       "      <td>[-33.0, -40.0, -39.0, -28.0, -13.0, -2.0, -2.0...</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:26.152</td>\n",
       "      <td>2015-05-09 23:44:26.152+00</td>\n",
       "      <td>math1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23372</th>\n",
       "      <td>17183</td>\n",
       "      <td>25</td>\n",
       "      <td>2015-05-09 23:44:28.058</td>\n",
       "      <td>-224</td>\n",
       "      <td>2015-05-09 16:44:28.360</td>\n",
       "      <td>26</td>\n",
       "      <td>53</td>\n",
       "      <td>[40705.0, 56998.0, 6331.0, 3652.0, 587.0, 535....</td>\n",
       "      <td>[42.0, 55.0, 68.0, 69.0, 67.0, 54.0, 42.0, 40....</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:28.643</td>\n",
       "      <td>2015-05-09 23:44:28.643+00</td>\n",
       "      <td>math1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23373</th>\n",
       "      <td>15913</td>\n",
       "      <td>24</td>\n",
       "      <td>2015-05-09 23:44:28.073</td>\n",
       "      <td>-1,570</td>\n",
       "      <td>2015-05-09 16:44:29.825</td>\n",
       "      <td>57</td>\n",
       "      <td>43</td>\n",
       "      <td>[737460.0, 192229.0, 18332.0, 23809.0, 17179.0...</td>\n",
       "      <td>[135.0, 97.0, 52.0, 73.0, 74.0, 41.0, 72.0, 88...</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:31.453</td>\n",
       "      <td>2015-05-09 23:44:31.453+00</td>\n",
       "      <td>math1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23374</th>\n",
       "      <td>15364</td>\n",
       "      <td>23</td>\n",
       "      <td>2015-05-09 23:44:28.086</td>\n",
       "      <td>1533</td>\n",
       "      <td>2015-05-09 16:44:26.679</td>\n",
       "      <td>56</td>\n",
       "      <td>69</td>\n",
       "      <td>[125266.0, 51332.0, 20802.0, 2295.0, 1710.0, 5...</td>\n",
       "      <td>[18.0, 11.0, 6.0, 7.0, 27.0, 53.0, 67.0, 69.0,...</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:25.208</td>\n",
       "      <td>2015-05-09 23:44:25.208+00</td>\n",
       "      <td>math1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23375</th>\n",
       "      <td>20373</td>\n",
       "      <td>29</td>\n",
       "      <td>2015-05-09 23:44:28.105</td>\n",
       "      <td>954520</td>\n",
       "      <td>2015-05-09 17:00:22.574</td>\n",
       "      <td>34</td>\n",
       "      <td>51</td>\n",
       "      <td>[31876.0, 44577.0, 47398.0, 15314.0, 7329.0, 1...</td>\n",
       "      <td>[-7.0, 21.0, 40.0, 40.0, 43.0, 50.0, 54.0, 41....</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:28.105</td>\n",
       "      <td>2015-05-09 23:44:28.105+00</td>\n",
       "      <td>math1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23376</th>\n",
       "      <td>19802</td>\n",
       "      <td>29</td>\n",
       "      <td>2015-05-09 23:44:28.105</td>\n",
       "      <td>954520</td>\n",
       "      <td>2015-05-09 17:00:22.574</td>\n",
       "      <td>34</td>\n",
       "      <td>51</td>\n",
       "      <td>[31876.0, 44577.0, 47398.0, 15314.0, 7329.0, 1...</td>\n",
       "      <td>[-7.0, 21.0, 40.0, 40.0, 43.0, 50.0, 54.0, 41....</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:28.105</td>\n",
       "      <td>2015-05-09 23:44:28.105+00</td>\n",
       "      <td>math1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23377</th>\n",
       "      <td>22352</td>\n",
       "      <td>30</td>\n",
       "      <td>2015-05-09 23:44:28.209</td>\n",
       "      <td>760</td>\n",
       "      <td>2015-05-09 16:44:27.579</td>\n",
       "      <td>51</td>\n",
       "      <td>66</td>\n",
       "      <td>[38749.0, 15106.0, 16249.0, 28545.0, 9172.0, 1...</td>\n",
       "      <td>[-9.0, 17.0, 41.0, 48.0, 72.0, 67.0, 36.0, 37....</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:26.875</td>\n",
       "      <td>2015-05-09 23:44:26.875+00</td>\n",
       "      <td>math1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23378</th>\n",
       "      <td>17782</td>\n",
       "      <td>26</td>\n",
       "      <td>2015-05-09 23:44:28.310</td>\n",
       "      <td>-1,167</td>\n",
       "      <td>2015-05-09 16:44:30.080</td>\n",
       "      <td>78</td>\n",
       "      <td>54</td>\n",
       "      <td>[48936.0, 8541.0, 2215.0, 10138.0, 4340.0, 866...</td>\n",
       "      <td>[74.0, 59.0, 49.0, 56.0, 76.0, 80.0, 61.0, 53....</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:31.311</td>\n",
       "      <td>2015-05-09 23:44:31.311+00</td>\n",
       "      <td>math1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23379</th>\n",
       "      <td>11432</td>\n",
       "      <td>19</td>\n",
       "      <td>2015-05-09 23:44:28.317</td>\n",
       "      <td>14854</td>\n",
       "      <td>2015-05-09 16:44:13.652</td>\n",
       "      <td>26</td>\n",
       "      <td>96</td>\n",
       "      <td>[388286.0, 48645.0, 24581.0, 248017.0, 3569.0,...</td>\n",
       "      <td>[6.0, 19.0, 34.0, 54.0, 61.0, 39.0, 12.0, 21.0...</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:43:59.039</td>\n",
       "      <td>2015-05-09 23:43:59.039+00</td>\n",
       "      <td>math1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23380</th>\n",
       "      <td>8719</td>\n",
       "      <td>16</td>\n",
       "      <td>2015-05-09 23:44:28.348</td>\n",
       "      <td>-52</td>\n",
       "      <td>2015-05-09 16:44:28.446</td>\n",
       "      <td>1</td>\n",
       "      <td>21</td>\n",
       "      <td>[17686.0, 34597.0, 789.0, 151.0, 488.0, 633.0,...</td>\n",
       "      <td>[104.0, 112.0, 123.0, 129.0, 125.0, 119.0, 102...</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:28.564</td>\n",
       "      <td>2015-05-09 23:44:28.564+00</td>\n",
       "      <td>math1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23381</th>\n",
       "      <td>18303</td>\n",
       "      <td>27</td>\n",
       "      <td>2015-05-09 23:44:28.374</td>\n",
       "      <td>-927</td>\n",
       "      <td>2015-05-09 16:44:29.443</td>\n",
       "      <td>94</td>\n",
       "      <td>10</td>\n",
       "      <td>[361051.0, 35651.0, 8310.0, 5117.0, 7777.0, 57...</td>\n",
       "      <td>[50.0, 104.0, 155.0, 163.0, 120.0, 69.0, 41.0,...</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:30.480</td>\n",
       "      <td>2015-05-09 23:44:30.48+00</td>\n",
       "      <td>math1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23382</th>\n",
       "      <td>14321</td>\n",
       "      <td>21</td>\n",
       "      <td>2015-05-09 23:44:28.733</td>\n",
       "      <td>-46</td>\n",
       "      <td>2015-05-09 16:44:28.934</td>\n",
       "      <td>20</td>\n",
       "      <td>38</td>\n",
       "      <td>[5359.0, 11957.0, 2218.0, 1422.0, 6276.0, 4521...</td>\n",
       "      <td>[43.0, 45.0, 42.0, 41.0, 50.0, 65.0, 61.0, 56....</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:29.037</td>\n",
       "      <td>2015-05-09 23:44:29.037+00</td>\n",
       "      <td>math1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23383</th>\n",
       "      <td>14741</td>\n",
       "      <td>22</td>\n",
       "      <td>2015-05-09 23:44:28.753</td>\n",
       "      <td>7756</td>\n",
       "      <td>2015-05-09 19:44:21.179</td>\n",
       "      <td>57</td>\n",
       "      <td>84</td>\n",
       "      <td>[18438.0, 55297.0, 17881.0, 41933.0, 3631.0, 1...</td>\n",
       "      <td>[72.0, 60.0, 50.0, 37.0, 37.0, 51.0, 64.0, 73....</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:13.548</td>\n",
       "      <td>2015-05-09 23:44:13.548+00</td>\n",
       "      <td>math1</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>72 rows × 13 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "       Unnamed: 0  id               indra_time browser_latency  \\\n",
       "13803         571   1  2015-05-09 23:33:28.977           13403   \n",
       "13804       23011   4  2015-05-09 23:33:28.985            7691   \n",
       "13805       12667   2  2015-05-09 23:33:29.017              26   \n",
       "13806        6082  14  2015-05-09 23:33:29.052             726   \n",
       "13807        3426  12  2015-05-09 23:33:29.109            1504   \n",
       "13808        4894  13  2015-05-09 23:33:29.225            -293   \n",
       "13809       27666   8  2015-05-09 23:33:29.483             -40   \n",
       "13810       25824   6  2015-05-09 23:33:29.498          -1,561   \n",
       "13811        1262  10  2015-05-09 23:33:29.522             -18   \n",
       "13812        2463  11  2015-05-09 23:33:29.599            -179   \n",
       "13813       29080   9  2015-05-09 23:33:29.679           10589   \n",
       "13814       24387   5  2015-05-09 23:33:29.696            1021   \n",
       "13815       26915   7  2015-05-09 23:33:29.701              13   \n",
       "13816       21254   3  2015-05-09 23:33:29.732           14853   \n",
       "13817        7337  15  2015-05-09 23:33:29.831            9268   \n",
       "13818         572   1  2015-05-09 23:33:29.889           13403   \n",
       "13819       23013   4  2015-05-09 23:33:29.898            7691   \n",
       "13820       12668   2  2015-05-09 23:33:29.927              26   \n",
       "13821        6083  14  2015-05-09 23:33:29.958             726   \n",
       "13822        4895  13  2015-05-09 23:33:30.133            -293   \n",
       "13823        3427  12  2015-05-09 23:33:30.316            1504   \n",
       "13824       27667   8  2015-05-09 23:33:30.389             -40   \n",
       "13825       25825   6  2015-05-09 23:33:30.397          -1,561   \n",
       "13826        1263  10  2015-05-09 23:33:30.444             -18   \n",
       "13827        2464  11  2015-05-09 23:33:30.498            -179   \n",
       "13828       29081   9  2015-05-09 23:33:30.593           10589   \n",
       "13829       24388   5  2015-05-09 23:33:30.604            1022   \n",
       "13830       26916   7  2015-05-09 23:33:30.613              13   \n",
       "13831       21255   3  2015-05-09 23:33:30.640           14853   \n",
       "13832        7339  15  2015-05-09 23:33:30.747            9268   \n",
       "...           ...  ..                      ...             ...   \n",
       "23354       14739  22  2015-05-09 23:44:26.864            7686   \n",
       "23355       14046  20  2015-05-09 23:44:27.092            1015   \n",
       "23356       19801  29  2015-05-09 23:44:27.112          954520   \n",
       "23357       20372  29  2015-05-09 23:44:27.112          954520   \n",
       "23358       11431  19  2015-05-09 23:44:27.127           14879   \n",
       "23359        8718  16  2015-05-09 23:44:27.137             -52   \n",
       "23360       15912  24  2015-05-09 23:44:27.172          -1,570   \n",
       "23361       15363  23  2015-05-09 23:44:27.181            1534   \n",
       "23362       22351  30  2015-05-09 23:44:27.303             760   \n",
       "23363       17781  26  2015-05-09 23:44:27.310          -1,167   \n",
       "23364       18302  27  2015-05-09 23:44:27.452            -937   \n",
       "23365        9388  17  2015-05-09 23:44:27.518              47   \n",
       "23366        9387  17  2015-05-09 23:44:27.518              47   \n",
       "23367       10875  18  2015-05-09 23:44:27.706            -985   \n",
       "23368       19452  28  2015-05-09 23:44:27.758            -327   \n",
       "23369       14740  22  2015-05-09 23:44:27.774            7686   \n",
       "23370       14320  21  2015-05-09 23:44:27.821             -46   \n",
       "23371       14047  20  2015-05-09 23:44:27.998            1015   \n",
       "23372       17183  25  2015-05-09 23:44:28.058            -224   \n",
       "23373       15913  24  2015-05-09 23:44:28.073          -1,570   \n",
       "23374       15364  23  2015-05-09 23:44:28.086            1533   \n",
       "23375       20373  29  2015-05-09 23:44:28.105          954520   \n",
       "23376       19802  29  2015-05-09 23:44:28.105          954520   \n",
       "23377       22352  30  2015-05-09 23:44:28.209             760   \n",
       "23378       17782  26  2015-05-09 23:44:28.310          -1,167   \n",
       "23379       11432  19  2015-05-09 23:44:28.317           14854   \n",
       "23380        8719  16  2015-05-09 23:44:28.348             -52   \n",
       "23381       18303  27  2015-05-09 23:44:28.374            -927   \n",
       "23382       14321  21  2015-05-09 23:44:28.733             -46   \n",
       "23383       14741  22  2015-05-09 23:44:28.753            7756   \n",
       "\n",
       "                  reading_time  attention_esense  meditation_esense  \\\n",
       "13803  2015-05-09 16:33:15.726                48                100   \n",
       "13804  2015-05-09 19:33:21.374                17                100   \n",
       "13805  2015-05-09 16:33:29.147                40                 48   \n",
       "13806  2015-05-09 16:33:28.535                44                 69   \n",
       "13807  2015-05-09 16:33:27.868                66                 87   \n",
       "13808  2015-05-09 16:33:29.621                27                 53   \n",
       "13809  2015-05-09 16:33:29.532                14                 70   \n",
       "13810  2015-05-09 16:33:31.132                47                 30   \n",
       "13811  2015-05-09 16:33:29.636                37                 70   \n",
       "13812  2015-05-09 16:33:29.976                41                 44   \n",
       "13813  2015-05-09 16:33:19.184                21                 91   \n",
       "13814  2015-05-09 16:33:28.895                44                 81   \n",
       "13815  2015-05-09 16:33:29.868                27                 51   \n",
       "13816  2015-05-09 16:33:14.873                63                 63   \n",
       "13817  2015-05-09 16:33:20.557                27                 70   \n",
       "13818  2015-05-09 16:33:16.744                50                 93   \n",
       "13819  2015-05-09 19:33:22.333                24                100   \n",
       "13820  2015-05-09 16:33:30.164                30                 53   \n",
       "13821  2015-05-09 16:33:29.505                27                 69   \n",
       "13822  2015-05-09 16:33:30.593                43                 50   \n",
       "13823  2015-05-09 16:33:28.877                64                 91   \n",
       "13824  2015-05-09 16:33:30.530                23                 41   \n",
       "13825  2015-05-09 16:33:32.124                34                 23   \n",
       "13826  2015-05-09 16:33:30.652                37                 70   \n",
       "13827  2015-05-09 16:33:30.946                24                 41   \n",
       "13828  2015-05-09 16:33:20.135                27                 74   \n",
       "13829  2015-05-09 16:33:29.877                54                 74   \n",
       "13830  2015-05-09 16:33:30.840                50                 38   \n",
       "13831  2015-05-09 16:33:15.853                51                 78   \n",
       "13832  2015-05-09 16:33:21.579                23                 69   \n",
       "...                        ...               ...                ...   \n",
       "23354  2015-05-09 19:44:19.174                37                 94   \n",
       "23355  2015-05-09 16:44:26.098                84                 64   \n",
       "23356  2015-05-09 17:00:21.577                26                 57   \n",
       "23357  2015-05-09 17:00:21.577                26                 57   \n",
       "23358  2015-05-09 16:44:12.384                37                 80   \n",
       "23359  2015-05-09 16:44:27.440                13                 50   \n",
       "23360  2015-05-09 16:44:28.814                57                 44   \n",
       "23361  2015-05-09 16:44:25.702                61                 66   \n",
       "23362  2015-05-09 16:44:26.589                53                 48   \n",
       "23363  2015-05-09 16:44:29.097                78                 44   \n",
       "23364  2015-05-09 16:44:28.431                75                 26   \n",
       "23365  2015-05-09 16:44:28.547                48                 47   \n",
       "23366  2015-05-09 16:44:27.546                48                 51   \n",
       "23367  2015-05-09 16:44:28.976                44                 64   \n",
       "23368  2015-05-09 16:44:28.270                60                 40   \n",
       "23369  2015-05-09 19:44:20.207                47                 94   \n",
       "23370  2015-05-09 16:44:27.953                16                 61   \n",
       "23371  2015-05-09 16:44:27.108                74                 67   \n",
       "23372  2015-05-09 16:44:28.360                26                 53   \n",
       "23373  2015-05-09 16:44:29.825                57                 43   \n",
       "23374  2015-05-09 16:44:26.679                56                 69   \n",
       "23375  2015-05-09 17:00:22.574                34                 51   \n",
       "23376  2015-05-09 17:00:22.574                34                 51   \n",
       "23377  2015-05-09 16:44:27.579                51                 66   \n",
       "23378  2015-05-09 16:44:30.080                78                 54   \n",
       "23379  2015-05-09 16:44:13.652                26                 96   \n",
       "23380  2015-05-09 16:44:28.446                 1                 21   \n",
       "23381  2015-05-09 16:44:29.443                94                 10   \n",
       "23382  2015-05-09 16:44:28.934                20                 38   \n",
       "23383  2015-05-09 19:44:21.179                57                 84   \n",
       "\n",
       "                                               eeg_power  \\\n",
       "13803  [6650.0, 22871.0, 45854.0, 191253.0, 15457.0, ...   \n",
       "13804  [3131.0, 11610.0, 20863.0, 54613.0, 3711.0, 62...   \n",
       "13805  [96747.0, 24552.0, 1629.0, 3301.0, 3926.0, 432...   \n",
       "13806  [20245.0, 7854.0, 4321.0, 13089.0, 9479.0, 434...   \n",
       "13807  [2740.0, 27325.0, 30234.0, 18751.0, 13404.0, 1...   \n",
       "13808  [2748564.0, 481537.0, 28312.0, 96849.0, 180628...   \n",
       "13809  [786351.0, 226029.0, 41133.0, 14584.0, 24339.0...   \n",
       "13810  [82296.0, 306508.0, 31953.0, 12513.0, 25488.0,...   \n",
       "13811  [1196729.0, 72232.0, 18068.0, 12065.0, 6169.0,...   \n",
       "13812  [566294.0, 143887.0, 15984.0, 87967.0, 12868.0...   \n",
       "13813  [445763.0, 136488.0, 16102.0, 9134.0, 12185.0,...   \n",
       "13814  [12741.0, 7178.0, 10742.0, 18229.0, 3154.0, 98...   \n",
       "13815  [100303.0, 40807.0, 22178.0, 22016.0, 9447.0, ...   \n",
       "13816  [10586.0, 11799.0, 8730.0, 72495.0, 17319.0, 9...   \n",
       "13817  [71562.0, 109854.0, 292237.0, 31694.0, 22669.0...   \n",
       "13818  [17269.0, 46755.0, 7453.0, 41606.0, 30618.0, 8...   \n",
       "13819  [9018.0, 39612.0, 77045.0, 4782.0, 9079.0, 724...   \n",
       "13820  [548827.0, 184431.0, 21349.0, 48059.0, 13182.0...   \n",
       "13821  [532615.0, 39074.0, 17091.0, 7961.0, 7427.0, 3...   \n",
       "13822  [346371.0, 195046.0, 53390.0, 97709.0, 22227.0...   \n",
       "13823  [24322.0, 12393.0, 18707.0, 18054.0, 6422.0, 1...   \n",
       "13824  [182280.0, 64319.0, 8527.0, 3150.0, 17497.0, 4...   \n",
       "13825  [56140.0, 131106.0, 22100.0, 3186.0, 18234.0, ...   \n",
       "13826  [1038633.0, 24009.0, 8498.0, 11596.0, 5250.0, ...   \n",
       "13827  [44631.0, 28182.0, 6531.0, 4433.0, 2829.0, 205...   \n",
       "13828  [346173.0, 21553.0, 7358.0, 2550.0, 2025.0, 29...   \n",
       "13829  [270590.0, 35407.0, 16473.0, 34913.0, 6196.0, ...   \n",
       "13830  [55650.0, 28674.0, 5821.0, 13657.0, 11440.0, 5...   \n",
       "13831  [20730.0, 26625.0, 5139.0, 109080.0, 26955.0, ...   \n",
       "13832  [66886.0, 19258.0, 34078.0, 8899.0, 4379.0, 22...   \n",
       "...                                                  ...   \n",
       "23354  [28655.0, 16334.0, 7645.0, 61328.0, 8595.0, 11...   \n",
       "23355  [53270.0, 22247.0, 3402.0, 12503.0, 9856.0, 66...   \n",
       "23356  [455685.0, 63784.0, 3981.0, 7622.0, 4884.0, 60...   \n",
       "23357  [455685.0, 63784.0, 3981.0, 7622.0, 4884.0, 60...   \n",
       "23358  [464158.0, 72935.0, 12996.0, 12294.0, 3770.0, ...   \n",
       "23359  [58735.0, 16411.0, 1329.0, 7652.0, 591.0, 8002...   \n",
       "23360  [61005.0, 107502.0, 2903.0, 8912.0, 14029.0, 1...   \n",
       "23361  [205199.0, 24555.0, 44424.0, 23740.0, 10878.0,...   \n",
       "23362  [700874.0, 64196.0, 26197.0, 62197.0, 12148.0,...   \n",
       "23363  [32528.0, 27443.0, 6218.0, 8195.0, 16992.0, 68...   \n",
       "23364  [865839.0, 48548.0, 19106.0, 18469.0, 4770.0, ...   \n",
       "23365  [24687.0, 26126.0, 8673.0, 6847.0, 17963.0, 58...   \n",
       "23366  [31092.0, 4994.0, 1872.0, 9399.0, 5875.0, 6557...   \n",
       "23367  [1701233.0, 762368.0, 228436.0, 29008.0, 17542...   \n",
       "23368  [1120375.0, 59023.0, 41160.0, 13340.0, 11043.0...   \n",
       "23369  [71181.0, 24360.0, 16518.0, 63820.0, 6579.0, 1...   \n",
       "23370  [114452.0, 20224.0, 874.0, 3019.0, 1365.0, 106...   \n",
       "23371  [422563.0, 89248.0, 57397.0, 18760.0, 11596.0,...   \n",
       "23372  [40705.0, 56998.0, 6331.0, 3652.0, 587.0, 535....   \n",
       "23373  [737460.0, 192229.0, 18332.0, 23809.0, 17179.0...   \n",
       "23374  [125266.0, 51332.0, 20802.0, 2295.0, 1710.0, 5...   \n",
       "23375  [31876.0, 44577.0, 47398.0, 15314.0, 7329.0, 1...   \n",
       "23376  [31876.0, 44577.0, 47398.0, 15314.0, 7329.0, 1...   \n",
       "23377  [38749.0, 15106.0, 16249.0, 28545.0, 9172.0, 1...   \n",
       "23378  [48936.0, 8541.0, 2215.0, 10138.0, 4340.0, 866...   \n",
       "23379  [388286.0, 48645.0, 24581.0, 248017.0, 3569.0,...   \n",
       "23380  [17686.0, 34597.0, 789.0, 151.0, 488.0, 633.0,...   \n",
       "23381  [361051.0, 35651.0, 8310.0, 5117.0, 7777.0, 57...   \n",
       "23382  [5359.0, 11957.0, 2218.0, 1422.0, 6276.0, 4521...   \n",
       "23383  [18438.0, 55297.0, 17881.0, 41933.0, 3631.0, 1...   \n",
       "\n",
       "                                              raw_values  signal_quality  \\\n",
       "13803  [108.0, 114.0, 120.0, 123.0, 114.0, 104.0, 96....               0   \n",
       "13804  [88.0, 88.0, 73.0, 74.0, 82.0, 70.0, 58.0, 60....               0   \n",
       "13805  [153.0, 129.0, 118.0, 113.0, 106.0, 108.0, 124...               0   \n",
       "13806  [49.0, 36.0, 28.0, 21.0, 19.0, 9.0, 0.0, 5.0, ...               0   \n",
       "13807  [11.0, 27.0, 37.0, 17.0, 3.0, 10.0, 25.0, 34.0...               0   \n",
       "13808  [92.0, 107.0, 149.0, 202.0, 228.0, 204.0, 149....               0   \n",
       "13809  [77.0, 66.0, 64.0, 65.0, 59.0, 59.0, 71.0, 103...               0   \n",
       "13810  [-29.0, -42.0, -52.0, -51.0, -39.0, -24.0, -11...               0   \n",
       "13811  [1296.0, 1313.0, 1314.0, 1299.0, 1281.0, 1264....              51   \n",
       "13812  [-66.0, -43.0, -36.0, -28.0, -4.0, 9.0, 16.0, ...               0   \n",
       "13813  [16.0, 20.0, 17.0, 21.0, 21.0, 26.0, 35.0, 44....               0   \n",
       "13814  [171.0, 136.0, 109.0, 105.0, 92.0, 82.0, 72.0,...               0   \n",
       "13815  [98.0, 86.0, 86.0, 93.0, 106.0, 114.0, 105.0, ...               0   \n",
       "13816  [-8.0, -9.0, -1.0, 5.0, 11.0, 19.0, 11.0, 7.0,...               0   \n",
       "13817  [8.0, -5.0, 5.0, 23.0, 0.0, -41.0, -46.0, -23....               0   \n",
       "13818  [73.0, 69.0, 70.0, 87.0, 104.0, 107.0, 109.0, ...               0   \n",
       "13819  [23.0, 16.0, 23.0, 29.0, 33.0, 27.0, 24.0, 19....               0   \n",
       "13820  [68.0, 57.0, 43.0, 41.0, 40.0, 36.0, 39.0, 50....               0   \n",
       "13821  [-21.0, -34.0, -29.0, -12.0, 4.0, 23.0, 33.0, ...               0   \n",
       "13822  [-54.0, -78.0, -29.0, 49.0, 65.0, 19.0, -23.0,...               0   \n",
       "13823  [-2.0, 23.0, 21.0, 16.0, 20.0, 25.0, 24.0, 17....               0   \n",
       "13824  [12.0, -17.0, -13.0, -1.0, 0.0, -23.0, -49.0, ...               0   \n",
       "13825  [13.0, 8.0, 12.0, 7.0, 0.0, 2.0, 4.0, 6.0, -1....               0   \n",
       "13826  [736.0, 822.0, 897.0, 919.0, 889.0, 882.0, 936...              26   \n",
       "13827  [68.0, 39.0, 11.0, 4.0, 22.0, 59.0, 85.0, 73.0...               0   \n",
       "13828  [-51.0, -35.0, -18.0, -17.0, -34.0, -57.0, -86...               0   \n",
       "13829  [90.0, 75.0, 60.0, 65.0, 82.0, 89.0, 75.0, 57....               0   \n",
       "13830  [-243.0, -244.0, -234.0, -234.0, -235.0, -243....               0   \n",
       "13831  [36.0, 48.0, 55.0, 58.0, 64.0, 68.0, 58.0, 55....               0   \n",
       "13832  [-60.0, -66.0, -65.0, -56.0, -51.0, -50.0, -42...               0   \n",
       "...                                                  ...             ...   \n",
       "23354  [-18.0, -7.0, 11.0, 17.0, 13.0, 10.0, 5.0, 0.0...               0   \n",
       "23355  [69.0, 35.0, 51.0, 105.0, 154.0, 172.0, 163.0,...               0   \n",
       "23356  [53.0, 22.0, 33.0, 64.0, 70.0, 59.0, 50.0, 51....               0   \n",
       "23357  [53.0, 22.0, 33.0, 64.0, 70.0, 59.0, 50.0, 51....               0   \n",
       "23358  [65.0, 57.0, 33.0, 23.0, 20.0, 2.0, 21.0, 42.0...               0   \n",
       "23359  [43.0, 39.0, 37.0, 24.0, 8.0, 10.0, 25.0, 32.0...               0   \n",
       "23360  [-210.0, -29.0, 20.0, -49.0, -166.0, -290.0, -...               0   \n",
       "23361  [-4.0, 0.0, 7.0, 16.0, 5.0, 5.0, 28.0, 42.0, 4...               0   \n",
       "23362  [18.0, 17.0, 33.0, 60.0, 58.0, 34.0, 23.0, 43....               0   \n",
       "23363  [70.0, 80.0, 89.0, 93.0, 84.0, 70.0, 71.0, 85....               0   \n",
       "23364  [57.0, 36.0, 27.0, 11.0, 5.0, 10.0, 17.0, 20.0...               0   \n",
       "23365  [11.0, 48.0, 76.0, 85.0, 85.0, 83.0, 98.0, 118...               0   \n",
       "23366  [39.0, 38.0, 38.0, 50.0, 68.0, 60.0, 27.0, 19....               0   \n",
       "23367  [87.0, 134.0, 170.0, 168.0, 170.0, 167.0, 178....               0   \n",
       "23368  [2.0, 42.0, 61.0, 82.0, 106.0, 145.0, 146.0, 1...               0   \n",
       "23369  [-23.0, -9.0, 12.0, 28.0, 32.0, 21.0, 26.0, 41...               0   \n",
       "23370  [26.0, 23.0, 12.0, 6.0, 6.0, 24.0, 43.0, 48.0,...               0   \n",
       "23371  [-33.0, -40.0, -39.0, -28.0, -13.0, -2.0, -2.0...               0   \n",
       "23372  [42.0, 55.0, 68.0, 69.0, 67.0, 54.0, 42.0, 40....               0   \n",
       "23373  [135.0, 97.0, 52.0, 73.0, 74.0, 41.0, 72.0, 88...               0   \n",
       "23374  [18.0, 11.0, 6.0, 7.0, 27.0, 53.0, 67.0, 69.0,...               0   \n",
       "23375  [-7.0, 21.0, 40.0, 40.0, 43.0, 50.0, 54.0, 41....               0   \n",
       "23376  [-7.0, 21.0, 40.0, 40.0, 43.0, 50.0, 54.0, 41....               0   \n",
       "23377  [-9.0, 17.0, 41.0, 48.0, 72.0, 67.0, 36.0, 37....               0   \n",
       "23378  [74.0, 59.0, 49.0, 56.0, 76.0, 80.0, 61.0, 53....               0   \n",
       "23379  [6.0, 19.0, 34.0, 54.0, 61.0, 39.0, 12.0, 21.0...               0   \n",
       "23380  [104.0, 112.0, 123.0, 129.0, 125.0, 119.0, 102...               0   \n",
       "23381  [50.0, 104.0, 155.0, 163.0, 120.0, 69.0, 41.0,...               0   \n",
       "23382  [43.0, 45.0, 42.0, 41.0, 50.0, 65.0, 61.0, 56....               0   \n",
       "23383  [72.0, 60.0, 50.0, 37.0, 37.0, 51.0, 64.0, 73....               0   \n",
       "\n",
       "                     createdAt                   updatedAt  label  \n",
       "13803  2015-05-09 23:33:02.386  2015-05-09 23:33:02.386+00  math1  \n",
       "13804  2015-05-09 23:33:13.736  2015-05-09 23:33:13.736+00  math1  \n",
       "13805  2015-05-09 23:33:29.178  2015-05-09 23:33:29.178+00  math1  \n",
       "13806  2015-05-09 23:33:27.873  2015-05-09 23:33:27.873+00  math1  \n",
       "13807  2015-05-09 23:33:26.417  2015-05-09 23:33:26.417+00  math1  \n",
       "13808  2015-05-09 23:33:29.979  2015-05-09 23:33:29.979+00  math1  \n",
       "13809  2015-05-09 23:33:29.638  2015-05-09 23:33:29.638+00  math1  \n",
       "13810  2015-05-09 23:33:32.751  2015-05-09 23:33:32.751+00  math1  \n",
       "13811  2015-05-09 23:33:29.722  2015-05-09 23:33:29.722+00  math1  \n",
       "13812  2015-05-09 23:33:30.212  2015-05-09 23:33:30.212+00  math1  \n",
       "13813  2015-05-09 23:33:08.765  2015-05-09 23:33:08.765+00  math1  \n",
       "13814  2015-05-09 23:33:27.930   2015-05-09 23:33:27.93+00  math1  \n",
       "13815  2015-05-09 23:33:29.917  2015-05-09 23:33:29.917+00  math1  \n",
       "13816  2015-05-09 23:33:00.130   2015-05-09 23:33:00.13+00  math1  \n",
       "13817  2015-05-09 23:33:11.350   2015-05-09 23:33:11.35+00  math1  \n",
       "13818  2015-05-09 23:33:03.399  2015-05-09 23:33:03.399+00  math1  \n",
       "13819  2015-05-09 23:33:14.700    2015-05-09 23:33:14.7+00  math1  \n",
       "13820  2015-05-09 23:33:30.200    2015-05-09 23:33:30.2+00  math1  \n",
       "13821  2015-05-09 23:33:28.844  2015-05-09 23:33:28.844+00  math1  \n",
       "13822  2015-05-09 23:33:30.954  2015-05-09 23:33:30.954+00  math1  \n",
       "13823  2015-05-09 23:33:27.425  2015-05-09 23:33:27.425+00  math1  \n",
       "13824  2015-05-09 23:33:30.635  2015-05-09 23:33:30.635+00  math1  \n",
       "13825  2015-05-09 23:33:33.742  2015-05-09 23:33:33.742+00  math1  \n",
       "13826  2015-05-09 23:33:30.737  2015-05-09 23:33:30.737+00  math1  \n",
       "13827  2015-05-09 23:33:31.184  2015-05-09 23:33:31.184+00  math1  \n",
       "13828  2015-05-09 23:33:09.697  2015-05-09 23:33:09.697+00  math1  \n",
       "13829  2015-05-09 23:33:28.911  2015-05-09 23:33:28.911+00  math1  \n",
       "13830  2015-05-09 23:33:30.889  2015-05-09 23:33:30.889+00  math1  \n",
       "13831  2015-05-09 23:33:01.284  2015-05-09 23:33:01.284+00  math1  \n",
       "13832  2015-05-09 23:33:12.371  2015-05-09 23:33:12.371+00  math1  \n",
       "...                        ...                         ...    ...  \n",
       "23354  2015-05-09 23:44:11.545  2015-05-09 23:44:11.545+00  math1  \n",
       "23355  2015-05-09 23:44:25.143  2015-05-09 23:44:25.143+00  math1  \n",
       "23356  2015-05-09 23:44:27.112  2015-05-09 23:44:27.112+00  math1  \n",
       "23357  2015-05-09 23:44:27.112  2015-05-09 23:44:27.112+00  math1  \n",
       "23358  2015-05-09 23:43:57.687  2015-05-09 23:43:57.687+00  math1  \n",
       "23359  2015-05-09 23:44:27.559  2015-05-09 23:44:27.559+00  math1  \n",
       "23360  2015-05-09 23:44:30.441  2015-05-09 23:44:30.441+00  math1  \n",
       "23361  2015-05-09 23:44:24.230   2015-05-09 23:44:24.23+00  math1  \n",
       "23362  2015-05-09 23:44:25.884  2015-05-09 23:44:25.884+00  math1  \n",
       "23363  2015-05-09 23:44:30.328  2015-05-09 23:44:30.328+00  math1  \n",
       "23364  2015-05-09 23:44:29.431  2015-05-09 23:44:29.431+00  math1  \n",
       "23365  2015-05-09 23:44:28.578  2015-05-09 23:44:28.578+00  math1  \n",
       "23366  2015-05-09 23:44:27.572  2015-05-09 23:44:27.572+00  math1  \n",
       "23367  2015-05-09 23:44:30.029  2015-05-09 23:44:30.029+00  math1  \n",
       "23368  2015-05-09 23:44:28.655  2015-05-09 23:44:28.655+00  math1  \n",
       "23369  2015-05-09 23:44:12.581  2015-05-09 23:44:12.581+00  math1  \n",
       "23370  2015-05-09 23:44:28.056  2015-05-09 23:44:28.056+00  math1  \n",
       "23371  2015-05-09 23:44:26.152  2015-05-09 23:44:26.152+00  math1  \n",
       "23372  2015-05-09 23:44:28.643  2015-05-09 23:44:28.643+00  math1  \n",
       "23373  2015-05-09 23:44:31.453  2015-05-09 23:44:31.453+00  math1  \n",
       "23374  2015-05-09 23:44:25.208  2015-05-09 23:44:25.208+00  math1  \n",
       "23375  2015-05-09 23:44:28.105  2015-05-09 23:44:28.105+00  math1  \n",
       "23376  2015-05-09 23:44:28.105  2015-05-09 23:44:28.105+00  math1  \n",
       "23377  2015-05-09 23:44:26.875  2015-05-09 23:44:26.875+00  math1  \n",
       "23378  2015-05-09 23:44:31.311  2015-05-09 23:44:31.311+00  math1  \n",
       "23379  2015-05-09 23:43:59.039  2015-05-09 23:43:59.039+00  math1  \n",
       "23380  2015-05-09 23:44:28.564  2015-05-09 23:44:28.564+00  math1  \n",
       "23381  2015-05-09 23:44:30.480   2015-05-09 23:44:30.48+00  math1  \n",
       "23382  2015-05-09 23:44:29.037  2015-05-09 23:44:29.037+00  math1  \n",
       "23383  2015-05-09 23:44:13.548  2015-05-09 23:44:13.548+00  math1  \n",
       "\n",
       "[72 rows x 13 columns]"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.loc[df.label=='math1']"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### So we have a general idea of what things look like. Let's convert the readings to numpy arrays."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "df.raw_values = df.raw_values.map(json.loads)\n",
    "df.eeg_power = df.eeg_power.map(json.loads)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### And for our purposes we have focused and non-focused. Let's pool all the math tasks together. And have relax as the other category."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array(['unlabeled', 'blinkInstruction', 'blink1', 'blink2', 'blink3',\n",
       "       'blink4', 'blink5', 'relaxInstruction', 'relax', 'mathInstruction',\n",
       "       'math1', 'math2', 'math3', 'math4', 'math5', 'math6', 'math7',\n",
       "       'math8', 'math9', 'math10', 'math11', 'math12', 'musicInstruction',\n",
       "       'music', 'videoInstruction', 'video-ver1',\n",
       "       'thinkOfItemsInstruction-ver1', 'thinkOfItems-ver1',\n",
       "       'colorInstruction1', 'colorInstruction2', 'readyRound1',\n",
       "       'colorRound1-1', 'colorRound1-2', 'colorRound1-3', 'colorRound1-4',\n",
       "       'colorRound1-5', 'colorRound1-6', 'readyRound2', 'colorRound2-1',\n",
       "       'colorRound2-2', 'colorRound2-3', 'colorRound2-4', 'colorRound2-5',\n",
       "       'colorRound2-6', 'readyRound3', 'colorRound3-1', 'colorRound3-2',\n",
       "       'colorRound3-3', 'colorRound3-4', 'colorRound3-5', 'colorRound3-6',\n",
       "       'readyRound4', 'colorRound4-1', 'colorRound4-2', 'colorRound4-3',\n",
       "       'colorRound4-4', 'colorRound4-5', 'colorRound4-6', 'readyRound5',\n",
       "       'colorRound5-1', 'colorRound5-2', 'colorRound5-3', 'colorRound5-4',\n",
       "       'colorRound5-5', 'colorRound5-6', 'video-ver2',\n",
       "       'thinkOfItemsInstruction-ver2', 'thinkOfItems-ver2'], dtype=object)"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.label.unique()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "934\n",
      "936\n"
     ]
    }
   ],
   "source": [
    "relaxed = df[df.label == 'relax']\n",
    "\n",
    "focused = df[(df.label == 'math1') |\n",
    "        (df.label == 'math2') |\n",
    "        (df.label == 'math3') |\n",
    "        (df.label == 'math4') |\n",
    "        (df.label == 'math5') |\n",
    "        (df.label == 'math6') |\n",
    "        (df.label == 'math7') |\n",
    "        (df.label == 'math8') |\n",
    "        (df.label == 'math9') |\n",
    "        (df.label == 'math10') |\n",
    "        (df.label == 'math11') |\n",
    "        (df.label == 'math12')]\n",
    "print(len(relaxed))\n",
    "print(len(focused))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Ok, now let's try out an SVM on one of our subjects."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1870"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_grouped = pd.concat([relaxed,focused])\n",
    "\n",
    "len(df_grouped)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Unnamed: 0</th>\n",
       "      <th>id</th>\n",
       "      <th>indra_time</th>\n",
       "      <th>browser_latency</th>\n",
       "      <th>reading_time</th>\n",
       "      <th>attention_esense</th>\n",
       "      <th>meditation_esense</th>\n",
       "      <th>eeg_power</th>\n",
       "      <th>raw_values</th>\n",
       "      <th>signal_quality</th>\n",
       "      <th>createdAt</th>\n",
       "      <th>updatedAt</th>\n",
       "      <th>label</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>22801</th>\n",
       "      <td>16566</td>\n",
       "      <td>24</td>\n",
       "      <td>2015-05-09 23:43:52.371</td>\n",
       "      <td>-1,571</td>\n",
       "      <td>2015-05-09 16:43:53.940</td>\n",
       "      <td>66</td>\n",
       "      <td>51</td>\n",
       "      <td>[128990.0, 10632.0, 4866.0, 1275.0, 2735.0, 71...</td>\n",
       "      <td>[29.0, 25.0, 55.0, 66.0, 18.0, -7.0, 24.0, 16....</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:43:55.568</td>\n",
       "      <td>2015-05-09 23:43:55.568+00</td>\n",
       "      <td>relax</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22814</th>\n",
       "      <td>16567</td>\n",
       "      <td>24</td>\n",
       "      <td>2015-05-09 23:43:53.272</td>\n",
       "      <td>-1,572</td>\n",
       "      <td>2015-05-09 16:43:54.905</td>\n",
       "      <td>77</td>\n",
       "      <td>35</td>\n",
       "      <td>[109639.0, 22225.0, 2367.0, 2229.0, 2908.0, 62...</td>\n",
       "      <td>[-30.0, 4.0, 90.0, 114.0, 60.0, 11.0, 4.0, 54....</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:43:56.533</td>\n",
       "      <td>2015-05-09 23:43:56.533+00</td>\n",
       "      <td>relax</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22828</th>\n",
       "      <td>16568</td>\n",
       "      <td>24</td>\n",
       "      <td>2015-05-09 23:43:54.170</td>\n",
       "      <td>-1,572</td>\n",
       "      <td>2015-05-09 16:43:55.914</td>\n",
       "      <td>48</td>\n",
       "      <td>47</td>\n",
       "      <td>[239978.0, 90433.0, 28660.0, 5076.0, 7314.0, 1...</td>\n",
       "      <td>[-360.0, -391.0, -422.0, -421.0, -390.0, -353....</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:43:57.541</td>\n",
       "      <td>2015-05-09 23:43:57.541+00</td>\n",
       "      <td>relax</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22844</th>\n",
       "      <td>16569</td>\n",
       "      <td>24</td>\n",
       "      <td>2015-05-09 23:43:55.073</td>\n",
       "      <td>-1,572</td>\n",
       "      <td>2015-05-09 16:43:56.898</td>\n",
       "      <td>50</td>\n",
       "      <td>50</td>\n",
       "      <td>[1542887.0, 46220.0, 13829.0, 23160.0, 10673.0...</td>\n",
       "      <td>[133.0, 107.0, 76.0, 98.0, 68.0, 69.0, 195.0, ...</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:43:58.523</td>\n",
       "      <td>2015-05-09 23:43:58.523+00</td>\n",
       "      <td>relax</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22864</th>\n",
       "      <td>16570</td>\n",
       "      <td>24</td>\n",
       "      <td>2015-05-09 23:43:56.273</td>\n",
       "      <td>-1,571</td>\n",
       "      <td>2015-05-09 16:43:57.905</td>\n",
       "      <td>64</td>\n",
       "      <td>43</td>\n",
       "      <td>[139942.0, 43078.0, 4189.0, 11875.0, 14078.0, ...</td>\n",
       "      <td>[123.0, 74.0, 40.0, 84.0, 84.0, 27.0, 28.0, 75...</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:43:59.534</td>\n",
       "      <td>2015-05-09 23:43:59.534+00</td>\n",
       "      <td>relax</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22875</th>\n",
       "      <td>16571</td>\n",
       "      <td>24</td>\n",
       "      <td>2015-05-09 23:43:57.173</td>\n",
       "      <td>-1,571</td>\n",
       "      <td>2015-05-09 16:43:58.899</td>\n",
       "      <td>61</td>\n",
       "      <td>54</td>\n",
       "      <td>[384736.0, 35298.0, 18890.0, 16778.0, 30669.0,...</td>\n",
       "      <td>[-42.0, -14.0, -17.0, -27.0, -86.0, -116.0, -1...</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:00.525</td>\n",
       "      <td>2015-05-09 23:44:00.525+00</td>\n",
       "      <td>relax</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22890</th>\n",
       "      <td>16572</td>\n",
       "      <td>24</td>\n",
       "      <td>2015-05-09 23:43:58.073</td>\n",
       "      <td>-1,571</td>\n",
       "      <td>2015-05-09 16:43:59.906</td>\n",
       "      <td>81</td>\n",
       "      <td>56</td>\n",
       "      <td>[108563.0, 44355.0, 19714.0, 2775.0, 6193.0, 6...</td>\n",
       "      <td>[25.0, 45.0, 32.0, 41.0, 41.0, 52.0, 64.0, 59....</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:01.532</td>\n",
       "      <td>2015-05-09 23:44:01.532+00</td>\n",
       "      <td>relax</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22912</th>\n",
       "      <td>16573</td>\n",
       "      <td>24</td>\n",
       "      <td>2015-05-09 23:43:59.273</td>\n",
       "      <td>-1,571</td>\n",
       "      <td>2015-05-09 16:44:00.891</td>\n",
       "      <td>81</td>\n",
       "      <td>63</td>\n",
       "      <td>[21447.0, 35430.0, 46456.0, 14270.0, 9174.0, 8...</td>\n",
       "      <td>[33.0, 69.0, 37.0, -14.0, -14.0, 39.0, 120.0, ...</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:02.518</td>\n",
       "      <td>2015-05-09 23:44:02.518+00</td>\n",
       "      <td>relax</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22924</th>\n",
       "      <td>16574</td>\n",
       "      <td>24</td>\n",
       "      <td>2015-05-09 23:44:00.172</td>\n",
       "      <td>-1,571</td>\n",
       "      <td>2015-05-09 16:44:01.898</td>\n",
       "      <td>87</td>\n",
       "      <td>69</td>\n",
       "      <td>[7613.0, 15930.0, 5178.0, 8712.0, 3263.0, 8210...</td>\n",
       "      <td>[5.0, 53.0, 81.0, 67.0, 50.0, 65.0, 87.0, 71.0...</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:03.526</td>\n",
       "      <td>2015-05-09 23:44:03.526+00</td>\n",
       "      <td>relax</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22936</th>\n",
       "      <td>16575</td>\n",
       "      <td>24</td>\n",
       "      <td>2015-05-09 23:44:01.071</td>\n",
       "      <td>-1,571</td>\n",
       "      <td>2015-05-09 16:44:02.914</td>\n",
       "      <td>93</td>\n",
       "      <td>64</td>\n",
       "      <td>[88781.0, 11124.0, 899.0, 4842.0, 3690.0, 5684...</td>\n",
       "      <td>[17.0, 27.0, 19.0, 2.0, 1.0, 16.0, 19.0, 25.0,...</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:04.541</td>\n",
       "      <td>2015-05-09 23:44:04.541+00id</td>\n",
       "      <td>relax</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22960</th>\n",
       "      <td>15887</td>\n",
       "      <td>24</td>\n",
       "      <td>2015-05-09 23:44:02.274</td>\n",
       "      <td>-1,570</td>\n",
       "      <td>2015-05-09 16:44:03.902</td>\n",
       "      <td>100</td>\n",
       "      <td>69</td>\n",
       "      <td>[17641.0, 9153.0, 3996.0, 15366.0, 9344.0, 127...</td>\n",
       "      <td>[90.0, 38.0, -18.0, -26.0, 4.0, 57.0, 122.0, 1...</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:05.527</td>\n",
       "      <td>2015-05-09 23:44:05.527+00</td>\n",
       "      <td>relax</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22973</th>\n",
       "      <td>15888</td>\n",
       "      <td>24</td>\n",
       "      <td>2015-05-09 23:44:03.174</td>\n",
       "      <td>-1,570</td>\n",
       "      <td>2015-05-09 16:44:04.877</td>\n",
       "      <td>100</td>\n",
       "      <td>54</td>\n",
       "      <td>[17941.0, 11009.0, 7222.0, 1628.0, 15526.0, 94...</td>\n",
       "      <td>[40.0, 25.0, -22.0, -40.0, 0.0, 36.0, 38.0, 22...</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:06.509</td>\n",
       "      <td>2015-05-09 23:44:06.509+00</td>\n",
       "      <td>relax</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22987</th>\n",
       "      <td>15889</td>\n",
       "      <td>24</td>\n",
       "      <td>2015-05-09 23:44:04.074</td>\n",
       "      <td>-1,570</td>\n",
       "      <td>2015-05-09 16:44:05.894</td>\n",
       "      <td>97</td>\n",
       "      <td>43</td>\n",
       "      <td>[348568.0, 104367.0, 3488.0, 12698.0, 3253.0, ...</td>\n",
       "      <td>[89.0, 76.0, 56.0, 67.0, 60.0, 42.0, 67.0, 84....</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:07.519</td>\n",
       "      <td>2015-05-09 23:44:07.519+00</td>\n",
       "      <td>relax</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23007</th>\n",
       "      <td>15890</td>\n",
       "      <td>24</td>\n",
       "      <td>2015-05-09 23:44:05.273</td>\n",
       "      <td>-1,571</td>\n",
       "      <td>2015-05-09 16:44:06.898</td>\n",
       "      <td>88</td>\n",
       "      <td>54</td>\n",
       "      <td>[56369.0, 26100.0, 18082.0, 23247.0, 14817.0, ...</td>\n",
       "      <td>[53.0, 57.0, 35.0, 25.0, 48.0, 50.0, 50.0, 45....</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:08.524</td>\n",
       "      <td>2015-05-09 23:44:08.524+00</td>\n",
       "      <td>relax</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23021</th>\n",
       "      <td>15891</td>\n",
       "      <td>24</td>\n",
       "      <td>2015-05-09 23:44:06.172</td>\n",
       "      <td>-1,571</td>\n",
       "      <td>2015-05-09 16:44:07.865</td>\n",
       "      <td>88</td>\n",
       "      <td>53</td>\n",
       "      <td>[15008.0, 9023.0, 13471.0, 6080.0, 16731.0, 12...</td>\n",
       "      <td>[4.0, 19.0, 34.0, 54.0, 52.0, 51.0, 56.0, 55.0...</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:09.492</td>\n",
       "      <td>2015-05-09 23:44:09.492+00</td>\n",
       "      <td>relax</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23033</th>\n",
       "      <td>15892</td>\n",
       "      <td>24</td>\n",
       "      <td>2015-05-09 23:44:07.073</td>\n",
       "      <td>-1,571</td>\n",
       "      <td>2015-05-09 16:44:08.866</td>\n",
       "      <td>75</td>\n",
       "      <td>60</td>\n",
       "      <td>[167622.0, 8329.0, 4518.0, 3009.0, 3211.0, 242...</td>\n",
       "      <td>[60.0, 90.0, 91.0, 74.0, 55.0, 60.0, 74.0, 65....</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:10.492</td>\n",
       "      <td>2015-05-09 23:44:10.492+00</td>\n",
       "      <td>relax</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23054</th>\n",
       "      <td>15893</td>\n",
       "      <td>24</td>\n",
       "      <td>2015-05-09 23:44:08.272</td>\n",
       "      <td>-1,571</td>\n",
       "      <td>2015-05-09 16:44:09.889</td>\n",
       "      <td>100</td>\n",
       "      <td>67</td>\n",
       "      <td>[8275.0, 19313.0, 6285.0, 6196.0, 4759.0, 1682...</td>\n",
       "      <td>[56.0, 52.0, 52.0, 60.0, 83.0, 88.0, 76.0, 61....</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:11.517</td>\n",
       "      <td>2015-05-09 23:44:11.517+00</td>\n",
       "      <td>relax</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23069</th>\n",
       "      <td>15894</td>\n",
       "      <td>24</td>\n",
       "      <td>2015-05-09 23:44:09.173</td>\n",
       "      <td>-1,571</td>\n",
       "      <td>2015-05-09 16:44:10.874</td>\n",
       "      <td>100</td>\n",
       "      <td>50</td>\n",
       "      <td>[30816.0, 31706.0, 3677.0, 2561.0, 4594.0, 118...</td>\n",
       "      <td>[9.0, 66.0, 109.0, 73.0, 43.0, 36.0, 37.0, 56....</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:12.499</td>\n",
       "      <td>2015-05-09 23:44:12.499+00</td>\n",
       "      <td>relax</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23084</th>\n",
       "      <td>15895</td>\n",
       "      <td>24</td>\n",
       "      <td>2015-05-09 23:44:10.072</td>\n",
       "      <td>-1,571</td>\n",
       "      <td>2015-05-09 16:44:11.886</td>\n",
       "      <td>100</td>\n",
       "      <td>48</td>\n",
       "      <td>[18394.0, 20509.0, 15741.0, 4225.0, 11895.0, 1...</td>\n",
       "      <td>[82.0, 85.0, 66.0, 38.0, 44.0, 51.0, 37.0, 20....</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:13.512</td>\n",
       "      <td>2015-05-09 23:44:13.512+00</td>\n",
       "      <td>relax</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23104</th>\n",
       "      <td>15896</td>\n",
       "      <td>24</td>\n",
       "      <td>2015-05-09 23:44:11.271</td>\n",
       "      <td>-1,571</td>\n",
       "      <td>2015-05-09 16:44:12.865</td>\n",
       "      <td>100</td>\n",
       "      <td>47</td>\n",
       "      <td>[7362.0, 7517.0, 3297.0, 7518.0, 8489.0, 7364....</td>\n",
       "      <td>[24.0, 43.0, 50.0, 33.0, 32.0, 38.0, 45.0, 57....</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:14.492</td>\n",
       "      <td>2015-05-09 23:44:14.492+00</td>\n",
       "      <td>relax</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23119</th>\n",
       "      <td>15897</td>\n",
       "      <td>24</td>\n",
       "      <td>2015-05-09 23:44:12.173</td>\n",
       "      <td>-1,571</td>\n",
       "      <td>2015-05-09 16:44:13.858</td>\n",
       "      <td>100</td>\n",
       "      <td>38</td>\n",
       "      <td>[7409.0, 18762.0, 2955.0, 2009.0, 4100.0, 1111...</td>\n",
       "      <td>[93.0, 68.0, 36.0, 34.0, 58.0, 96.0, 104.0, 10...</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:15.484</td>\n",
       "      <td>2015-05-09 23:44:15.484+00</td>\n",
       "      <td>relax</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23135</th>\n",
       "      <td>15898</td>\n",
       "      <td>24</td>\n",
       "      <td>2015-05-09 23:44:13.073</td>\n",
       "      <td>-1,571</td>\n",
       "      <td>2015-05-09 16:44:14.855</td>\n",
       "      <td>100</td>\n",
       "      <td>53</td>\n",
       "      <td>[5429.0, 9221.0, 15216.0, 7889.0, 20284.0, 831...</td>\n",
       "      <td>[25.0, 12.0, -8.0, -17.0, -28.0, -44.0, -61.0,...</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:16.480</td>\n",
       "      <td>2015-05-09 23:44:16.48+00</td>\n",
       "      <td>relax</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23153</th>\n",
       "      <td>15899</td>\n",
       "      <td>24</td>\n",
       "      <td>2015-05-09 23:44:14.273</td>\n",
       "      <td>-1,571</td>\n",
       "      <td>2015-05-09 16:44:15.858</td>\n",
       "      <td>100</td>\n",
       "      <td>53</td>\n",
       "      <td>[6991.0, 11155.0, 3990.0, 9619.0, 10667.0, 970...</td>\n",
       "      <td>[70.0, 55.0, 56.0, 74.0, 87.0, 88.0, 90.0, 74....</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:17.484</td>\n",
       "      <td>2015-05-09 23:44:17.484+00</td>\n",
       "      <td>relax</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23166</th>\n",
       "      <td>15900</td>\n",
       "      <td>24</td>\n",
       "      <td>2015-05-09 23:44:15.172</td>\n",
       "      <td>-1,571</td>\n",
       "      <td>2015-05-09 16:44:16.843</td>\n",
       "      <td>100</td>\n",
       "      <td>56</td>\n",
       "      <td>[6086.0, 7372.0, 4350.0, 6564.0, 1427.0, 5802....</td>\n",
       "      <td>[41.0, 42.0, 41.0, 52.0, 59.0, 67.0, 58.0, 27....</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:18.469</td>\n",
       "      <td>2015-05-09 23:44:18.469+00</td>\n",
       "      <td>relax</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23181</th>\n",
       "      <td>15901</td>\n",
       "      <td>24</td>\n",
       "      <td>2015-05-09 23:44:16.072</td>\n",
       "      <td>-1,571</td>\n",
       "      <td>2015-05-09 16:44:17.867</td>\n",
       "      <td>100</td>\n",
       "      <td>67</td>\n",
       "      <td>[2597.0, 18313.0, 8491.0, 5034.0, 3583.0, 7766...</td>\n",
       "      <td>[59.0, 65.0, 71.0, 72.0, 70.0, 45.0, 4.0, -2.0...</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:19.493</td>\n",
       "      <td>2015-05-09 23:44:19.493+00</td>\n",
       "      <td>relax</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23200</th>\n",
       "      <td>15902</td>\n",
       "      <td>24</td>\n",
       "      <td>2015-05-09 23:44:17.272</td>\n",
       "      <td>-1,571</td>\n",
       "      <td>2015-05-09 16:44:18.849</td>\n",
       "      <td>100</td>\n",
       "      <td>78</td>\n",
       "      <td>[13560.0, 11687.0, 1695.0, 33900.0, 7618.0, 44...</td>\n",
       "      <td>[-5.0, 3.0, 11.0, 11.0, 9.0, 13.0, 48.0, 53.0,...</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:20.475</td>\n",
       "      <td>2015-05-09 23:44:20.475+00</td>\n",
       "      <td>relax</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23215</th>\n",
       "      <td>15903</td>\n",
       "      <td>24</td>\n",
       "      <td>2015-05-09 23:44:18.172</td>\n",
       "      <td>-1,571</td>\n",
       "      <td>2015-05-09 16:44:19.852</td>\n",
       "      <td>100</td>\n",
       "      <td>78</td>\n",
       "      <td>[5503.0, 8043.0, 787.0, 8371.0, 3731.0, 10061....</td>\n",
       "      <td>[38.0, 12.0, 26.0, 59.0, 52.0, 28.0, 27.0, 37....</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:21.485</td>\n",
       "      <td>2015-05-09 23:44:21.485+00</td>\n",
       "      <td>relax</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23231</th>\n",
       "      <td>15904</td>\n",
       "      <td>24</td>\n",
       "      <td>2015-05-09 23:44:19.072</td>\n",
       "      <td>-1,571</td>\n",
       "      <td>2015-05-09 16:44:20.863</td>\n",
       "      <td>100</td>\n",
       "      <td>67</td>\n",
       "      <td>[32997.0, 19481.0, 3873.0, 4072.0, 4000.0, 835...</td>\n",
       "      <td>[73.0, 84.0, 105.0, 124.0, 124.0, 102.0, 92.0,...</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:22.490</td>\n",
       "      <td>2015-05-09 23:44:22.49+00</td>\n",
       "      <td>relax</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23249</th>\n",
       "      <td>15905</td>\n",
       "      <td>24</td>\n",
       "      <td>2015-05-09 23:44:20.269</td>\n",
       "      <td>-1,572</td>\n",
       "      <td>2015-05-09 16:44:21.840</td>\n",
       "      <td>97</td>\n",
       "      <td>77</td>\n",
       "      <td>[20410.0, 32394.0, 18716.0, 46295.0, 7875.0, 1...</td>\n",
       "      <td>[23.0, 27.0, 28.0, 28.0, 26.0, 28.0, 41.0, 33....</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:23.467</td>\n",
       "      <td>2015-05-09 23:44:23.467+00</td>\n",
       "      <td>relax</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23265</th>\n",
       "      <td>15906</td>\n",
       "      <td>24</td>\n",
       "      <td>2015-05-09 23:44:21.171</td>\n",
       "      <td>-1,572</td>\n",
       "      <td>2015-05-09 16:44:22.830</td>\n",
       "      <td>100</td>\n",
       "      <td>70</td>\n",
       "      <td>[19774.0, 12690.0, 6436.0, 16572.0, 6092.0, 71...</td>\n",
       "      <td>[40.0, 50.0, 57.0, 69.0, 60.0, 37.0, 32.0, 32....</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:24.455</td>\n",
       "      <td>2015-05-09 23:44:24.455+00</td>\n",
       "      <td>relax</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23360</th>\n",
       "      <td>15912</td>\n",
       "      <td>24</td>\n",
       "      <td>2015-05-09 23:44:27.172</td>\n",
       "      <td>-1,570</td>\n",
       "      <td>2015-05-09 16:44:28.814</td>\n",
       "      <td>57</td>\n",
       "      <td>44</td>\n",
       "      <td>[61005.0, 107502.0, 2903.0, 8912.0, 14029.0, 1...</td>\n",
       "      <td>[-210.0, -29.0, 20.0, -49.0, -166.0, -290.0, -...</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:30.441</td>\n",
       "      <td>2015-05-09 23:44:30.441+00</td>\n",
       "      <td>math1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23373</th>\n",
       "      <td>15913</td>\n",
       "      <td>24</td>\n",
       "      <td>2015-05-09 23:44:28.073</td>\n",
       "      <td>-1,570</td>\n",
       "      <td>2015-05-09 16:44:29.825</td>\n",
       "      <td>57</td>\n",
       "      <td>43</td>\n",
       "      <td>[737460.0, 192229.0, 18332.0, 23809.0, 17179.0...</td>\n",
       "      <td>[135.0, 97.0, 52.0, 73.0, 74.0, 41.0, 72.0, 88...</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:31.453</td>\n",
       "      <td>2015-05-09 23:44:31.453+00</td>\n",
       "      <td>math1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23388</th>\n",
       "      <td>15914</td>\n",
       "      <td>24</td>\n",
       "      <td>2015-05-09 23:44:28.971</td>\n",
       "      <td>-1,571</td>\n",
       "      <td>2015-05-09 16:44:30.806</td>\n",
       "      <td>54</td>\n",
       "      <td>44</td>\n",
       "      <td>[229465.0, 68060.0, 30899.0, 60300.0, 20505.0,...</td>\n",
       "      <td>[693.0, 640.0, 529.0, 420.0, 360.0, 329.0, 279...</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:32.432</td>\n",
       "      <td>2015-05-09 23:44:32.432+00</td>\n",
       "      <td>math2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23407</th>\n",
       "      <td>15915</td>\n",
       "      <td>24</td>\n",
       "      <td>2015-05-09 23:44:30.171</td>\n",
       "      <td>-1,571</td>\n",
       "      <td>2015-05-09 16:44:31.826</td>\n",
       "      <td>41</td>\n",
       "      <td>37</td>\n",
       "      <td>[280099.0, 247861.0, 32425.0, 21326.0, 5166.0,...</td>\n",
       "      <td>[21.0, 43.0, 8.0, 20.0, -150.0, -284.0, 4.0, 3...</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:33.453</td>\n",
       "      <td>2015-05-09 23:44:33.453+00</td>\n",
       "      <td>math2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23424</th>\n",
       "      <td>15916</td>\n",
       "      <td>24</td>\n",
       "      <td>2015-05-09 23:44:31.071</td>\n",
       "      <td>-1,571</td>\n",
       "      <td>2015-05-09 16:44:32.813</td>\n",
       "      <td>21</td>\n",
       "      <td>35</td>\n",
       "      <td>[2034739.0, 1113592.0, 49955.0, 22181.0, 16525...</td>\n",
       "      <td>[-18.0, 74.0, 165.0, 180.0, 155.0, 144.0, 131....</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:34.439</td>\n",
       "      <td>2015-05-09 23:44:34.439+00</td>\n",
       "      <td>math2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23439</th>\n",
       "      <td>15917</td>\n",
       "      <td>24</td>\n",
       "      <td>2015-05-09 23:44:31.971</td>\n",
       "      <td>-1,572</td>\n",
       "      <td>2015-05-09 16:44:33.815</td>\n",
       "      <td>23</td>\n",
       "      <td>43</td>\n",
       "      <td>[2113864.0, 431079.0, 217636.0, 33111.0, 56240...</td>\n",
       "      <td>[-69.0, -26.0, 104.0, 208.0, 229.0, 109.0, -20...</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:35.442</td>\n",
       "      <td>2015-05-09 23:44:35.442+00</td>\n",
       "      <td>math3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23459</th>\n",
       "      <td>15918</td>\n",
       "      <td>24</td>\n",
       "      <td>2015-05-09 23:44:33.168</td>\n",
       "      <td>-1,572</td>\n",
       "      <td>2015-05-09 16:44:34.817</td>\n",
       "      <td>13</td>\n",
       "      <td>38</td>\n",
       "      <td>[826980.0, 67461.0, 8683.0, 35699.0, 8919.0, 3...</td>\n",
       "      <td>[82.0, 172.0, 259.0, 104.0, -49.0, 8.0, 155.0,...</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:36.444</td>\n",
       "      <td>2015-05-09 23:44:36.444+00</td>\n",
       "      <td>math3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23471</th>\n",
       "      <td>15919</td>\n",
       "      <td>24</td>\n",
       "      <td>2015-05-09 23:44:34.069</td>\n",
       "      <td>-1,572</td>\n",
       "      <td>2015-05-09 16:44:35.805</td>\n",
       "      <td>23</td>\n",
       "      <td>41</td>\n",
       "      <td>[1408778.0, 143589.0, 38677.0, 10215.0, 11899....</td>\n",
       "      <td>[-44.0, 2.0, 55.0, 98.0, 55.0, -54.0, -75.0, -...</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:37.432</td>\n",
       "      <td>2015-05-09 23:44:37.432+00</td>\n",
       "      <td>math4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23487</th>\n",
       "      <td>15920</td>\n",
       "      <td>24</td>\n",
       "      <td>2015-05-09 23:44:34.971</td>\n",
       "      <td>-1,572</td>\n",
       "      <td>2015-05-09 16:44:36.811</td>\n",
       "      <td>29</td>\n",
       "      <td>53</td>\n",
       "      <td>[184247.0, 41558.0, 2773.0, 7438.0, 2766.0, 16...</td>\n",
       "      <td>[3.0, 76.0, 161.0, 182.0, 106.0, 28.0, 69.0, 1...</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:38.442</td>\n",
       "      <td>2015-05-09 23:44:38.442+00</td>\n",
       "      <td>math4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23508</th>\n",
       "      <td>15921</td>\n",
       "      <td>24</td>\n",
       "      <td>2015-05-09 23:44:36.171</td>\n",
       "      <td>-1,572</td>\n",
       "      <td>2015-05-09 16:44:37.805</td>\n",
       "      <td>37</td>\n",
       "      <td>50</td>\n",
       "      <td>[1125277.0, 102510.0, 13189.0, 38344.0, 8150.0...</td>\n",
       "      <td>[48.0, 12.0, 36.0, 168.0, 342.0, 346.0, 203.0,...</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:39.430</td>\n",
       "      <td>2015-05-09 23:44:39.43+00</td>\n",
       "      <td>math4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23520</th>\n",
       "      <td>15922</td>\n",
       "      <td>24</td>\n",
       "      <td>2015-05-09 23:44:37.070</td>\n",
       "      <td>-1,572</td>\n",
       "      <td>2015-05-09 16:44:38.797</td>\n",
       "      <td>37</td>\n",
       "      <td>50</td>\n",
       "      <td>[409542.0, 58224.0, 29197.0, 12524.0, 16050.0,...</td>\n",
       "      <td>[76.0, 68.0, 20.0, 21.0, 52.0, 58.0, 40.0, 16....</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:40.425</td>\n",
       "      <td>2015-05-09 23:44:40.425+00</td>\n",
       "      <td>math5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23533</th>\n",
       "      <td>15923</td>\n",
       "      <td>24</td>\n",
       "      <td>2015-05-09 23:44:37.968</td>\n",
       "      <td>-1,573</td>\n",
       "      <td>2015-05-09 16:44:39.799</td>\n",
       "      <td>47</td>\n",
       "      <td>50</td>\n",
       "      <td>[823244.0, 505603.0, 85175.0, 94321.0, 118657....</td>\n",
       "      <td>[-206.0, 33.0, 74.0, 28.0, 172.0, 114.0, -162....</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:41.426</td>\n",
       "      <td>2015-05-09 23:44:41.426+00</td>\n",
       "      <td>math5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23556</th>\n",
       "      <td>15924</td>\n",
       "      <td>24</td>\n",
       "      <td>2015-05-09 23:44:39.168</td>\n",
       "      <td>-1,573</td>\n",
       "      <td>2015-05-09 16:44:40.803</td>\n",
       "      <td>54</td>\n",
       "      <td>43</td>\n",
       "      <td>[81787.0, 44728.0, 2973.0, 2600.0, 1946.0, 384...</td>\n",
       "      <td>[-41.0, -41.0, 21.0, 96.0, 65.0, -3.0, 9.0, 54...</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:42.475</td>\n",
       "      <td>2015-05-09 23:44:42.475+00</td>\n",
       "      <td>math6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23568</th>\n",
       "      <td>15925</td>\n",
       "      <td>24</td>\n",
       "      <td>2015-05-09 23:44:40.067</td>\n",
       "      <td>-1,573</td>\n",
       "      <td>2015-05-09 16:44:41.779</td>\n",
       "      <td>47</td>\n",
       "      <td>47</td>\n",
       "      <td>[399574.0, 196427.0, 68107.0, 47463.0, 5983.0,...</td>\n",
       "      <td>[20.0, 33.0, 52.0, 25.0, 9.0, 60.0, 92.0, 35.0...</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:43.407</td>\n",
       "      <td>2015-05-09 23:44:43.407+00</td>\n",
       "      <td>math6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23580</th>\n",
       "      <td>15926</td>\n",
       "      <td>24</td>\n",
       "      <td>2015-05-09 23:44:40.979</td>\n",
       "      <td>-1,562</td>\n",
       "      <td>2015-05-09 16:44:42.796</td>\n",
       "      <td>66</td>\n",
       "      <td>44</td>\n",
       "      <td>[264439.0, 18964.0, 9903.0, 11383.0, 19027.0, ...</td>\n",
       "      <td>[152.0, 119.0, -73.0, -90.0, -12.0, 16.0, -18....</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:44.425</td>\n",
       "      <td>2015-05-09 23:44:44.425+00</td>\n",
       "      <td>math6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23603</th>\n",
       "      <td>15927</td>\n",
       "      <td>24</td>\n",
       "      <td>2015-05-09 23:44:42.179</td>\n",
       "      <td>-1,562</td>\n",
       "      <td>2015-05-09 16:44:43.785</td>\n",
       "      <td>48</td>\n",
       "      <td>35</td>\n",
       "      <td>[310666.0, 159571.0, 11059.0, 4485.0, 7366.0, ...</td>\n",
       "      <td>[98.0, 36.0, -4.0, 4.0, 7.0, 42.0, 156.0, 200....</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:45.415</td>\n",
       "      <td>2015-05-09 23:44:45.415+00</td>\n",
       "      <td>math7</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23617</th>\n",
       "      <td>15928</td>\n",
       "      <td>24</td>\n",
       "      <td>2015-05-09 23:44:43.079</td>\n",
       "      <td>-1,562</td>\n",
       "      <td>2015-05-09 16:44:44.773</td>\n",
       "      <td>47</td>\n",
       "      <td>37</td>\n",
       "      <td>[726389.0, 151182.0, 16493.0, 2977.0, 4367.0, ...</td>\n",
       "      <td>[-99.0, -20.0, 61.0, 33.0, -50.0, -69.0, 0.0, ...</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:46.400</td>\n",
       "      <td>2015-05-09 23:44:46.4+00</td>\n",
       "      <td>math7</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23629</th>\n",
       "      <td>15929</td>\n",
       "      <td>24</td>\n",
       "      <td>2015-05-09 23:44:43.971</td>\n",
       "      <td>-1,571</td>\n",
       "      <td>2015-05-09 16:44:45.772</td>\n",
       "      <td>70</td>\n",
       "      <td>40</td>\n",
       "      <td>[4477.0, 7961.0, 22565.0, 6656.0, 9478.0, 2090...</td>\n",
       "      <td>[162.0, 113.0, 34.0, -9.0, 20.0, 13.0, -17.0, ...</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:47.400</td>\n",
       "      <td>2015-05-09 23:44:47.4+00</td>\n",
       "      <td>math8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23651</th>\n",
       "      <td>15930</td>\n",
       "      <td>24</td>\n",
       "      <td>2015-05-09 23:44:45.171</td>\n",
       "      <td>-1,571</td>\n",
       "      <td>2015-05-09 16:44:46.789</td>\n",
       "      <td>61</td>\n",
       "      <td>37</td>\n",
       "      <td>[92687.0, 191257.0, 35431.0, 37686.0, 15875.0,...</td>\n",
       "      <td>[90.0, 65.0, 89.0, 41.0, -21.0, -8.0, -19.0, -...</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:48.419</td>\n",
       "      <td>2015-05-09 23:44:48.419+00</td>\n",
       "      <td>math8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23665</th>\n",
       "      <td>15931</td>\n",
       "      <td>24</td>\n",
       "      <td>2015-05-09 23:44:46.071</td>\n",
       "      <td>-1,571</td>\n",
       "      <td>2015-05-09 16:44:47.764</td>\n",
       "      <td>88</td>\n",
       "      <td>50</td>\n",
       "      <td>[428567.0, 49294.0, 28324.0, 2592.0, 11523.0, ...</td>\n",
       "      <td>[88.0, 135.0, 74.0, 24.0, 54.0, 56.0, 43.0, 45...</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:49.392</td>\n",
       "      <td>2015-05-09 23:44:49.392+00</td>\n",
       "      <td>math8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23678</th>\n",
       "      <td>15932</td>\n",
       "      <td>24</td>\n",
       "      <td>2015-05-09 23:44:46.968</td>\n",
       "      <td>-1,573</td>\n",
       "      <td>2015-05-09 16:44:48.770</td>\n",
       "      <td>96</td>\n",
       "      <td>53</td>\n",
       "      <td>[543001.0, 179467.0, 24984.0, 11285.0, 12763.0...</td>\n",
       "      <td>[26.0, 82.0, 124.0, 129.0, 86.0, 99.0, 140.0, ...</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:50.398</td>\n",
       "      <td>2015-05-09 23:44:50.398+00</td>\n",
       "      <td>math9</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23700</th>\n",
       "      <td>15933</td>\n",
       "      <td>24</td>\n",
       "      <td>2015-05-09 23:44:48.167</td>\n",
       "      <td>-1,573</td>\n",
       "      <td>2015-05-09 16:44:49.796</td>\n",
       "      <td>64</td>\n",
       "      <td>37</td>\n",
       "      <td>[1790735.0, 705365.0, 66222.0, 36059.0, 48343....</td>\n",
       "      <td>[35.0, -24.0, 2.0, 155.0, 192.0, 7.0, -161.0, ...</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:51.426</td>\n",
       "      <td>2015-05-09 23:44:51.426+00</td>\n",
       "      <td>math9</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23714</th>\n",
       "      <td>15934</td>\n",
       "      <td>24</td>\n",
       "      <td>2015-05-09 23:44:49.068</td>\n",
       "      <td>-1,573</td>\n",
       "      <td>2015-05-09 16:44:50.753</td>\n",
       "      <td>66</td>\n",
       "      <td>35</td>\n",
       "      <td>[1735139.0, 21651.0, 451.0, 7016.0, 1855.0, 26...</td>\n",
       "      <td>[-216.0, -281.0, -279.0, -233.0, -268.0, -294....</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:52.384</td>\n",
       "      <td>2015-05-09 23:44:52.384+00</td>\n",
       "      <td>math10</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23725</th>\n",
       "      <td>15935</td>\n",
       "      <td>24</td>\n",
       "      <td>2015-05-09 23:44:49.972</td>\n",
       "      <td>-1,571</td>\n",
       "      <td>2015-05-09 16:44:51.758</td>\n",
       "      <td>53</td>\n",
       "      <td>16</td>\n",
       "      <td>[1021345.0, 348521.0, 9838.0, 14193.0, 35935.0...</td>\n",
       "      <td>[48.0, 72.0, 102.0, 72.0, 24.0, -5.0, 0.0, 22....</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:53.387</td>\n",
       "      <td>2015-05-09 23:44:53.387+00</td>\n",
       "      <td>math10</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23749</th>\n",
       "      <td>15936</td>\n",
       "      <td>24</td>\n",
       "      <td>2015-05-09 23:44:51.170</td>\n",
       "      <td>-1,571</td>\n",
       "      <td>2015-05-09 16:44:52.778</td>\n",
       "      <td>53</td>\n",
       "      <td>35</td>\n",
       "      <td>[410614.0, 19552.0, 25209.0, 15697.0, 11749.0,...</td>\n",
       "      <td>[-29.0, 41.0, 20.0, -35.0, 26.0, 139.0, 98.0, ...</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:54.410</td>\n",
       "      <td>2015-05-09 23:44:54.41+00</td>\n",
       "      <td>math10</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23764</th>\n",
       "      <td>15937</td>\n",
       "      <td>24</td>\n",
       "      <td>2015-05-09 23:44:52.069</td>\n",
       "      <td>-1,571</td>\n",
       "      <td>2015-05-09 16:44:53.755</td>\n",
       "      <td>54</td>\n",
       "      <td>41</td>\n",
       "      <td>[128100.0, 19432.0, 4397.0, 2228.0, 1459.0, 66...</td>\n",
       "      <td>[90.0, 73.0, 119.0, 189.0, 86.0, -57.0, -94.0,...</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:55.384</td>\n",
       "      <td>2015-05-09 23:44:55.384+00</td>\n",
       "      <td>math11</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23777</th>\n",
       "      <td>15938</td>\n",
       "      <td>24</td>\n",
       "      <td>2015-05-09 23:44:52.970</td>\n",
       "      <td>-1,572</td>\n",
       "      <td>2015-05-09 16:44:54.767</td>\n",
       "      <td>51</td>\n",
       "      <td>38</td>\n",
       "      <td>[1455795.0, 379838.0, 72846.0, 14890.0, 46967....</td>\n",
       "      <td>[108.0, 120.0, 108.0, 115.0, 98.0, 61.0, 25.0,...</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:56.395</td>\n",
       "      <td>2015-05-09 23:44:56.395+00</td>\n",
       "      <td>math11</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23799</th>\n",
       "      <td>15939</td>\n",
       "      <td>24</td>\n",
       "      <td>2015-05-09 23:44:54.170</td>\n",
       "      <td>-1,572</td>\n",
       "      <td>2015-05-09 16:44:55.770</td>\n",
       "      <td>44</td>\n",
       "      <td>48</td>\n",
       "      <td>[1672904.0, 1330941.0, 99719.0, 114692.0, 2583...</td>\n",
       "      <td>[-57.0, -6.0, 23.0, 53.0, 56.0, 40.0, 5.0, -23...</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:57.401</td>\n",
       "      <td>2015-05-09 23:44:57.401+00</td>\n",
       "      <td>math12</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23813</th>\n",
       "      <td>15940</td>\n",
       "      <td>24</td>\n",
       "      <td>2015-05-09 23:44:55.068</td>\n",
       "      <td>-1,572</td>\n",
       "      <td>2015-05-09 16:44:56.740</td>\n",
       "      <td>38</td>\n",
       "      <td>44</td>\n",
       "      <td>[102367.0, 47288.0, 42012.0, 3256.0, 3681.0, 6...</td>\n",
       "      <td>[64.0, 70.0, 131.0, 164.0, 128.0, 34.0, 21.0, ...</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:58.368</td>\n",
       "      <td>2015-05-09 23:44:58.368+00</td>\n",
       "      <td>math12</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23828</th>\n",
       "      <td>15941</td>\n",
       "      <td>24</td>\n",
       "      <td>2015-05-09 23:44:55.969</td>\n",
       "      <td>-1,572</td>\n",
       "      <td>2015-05-09 16:44:57.759</td>\n",
       "      <td>40</td>\n",
       "      <td>50</td>\n",
       "      <td>[2159489.0, 136563.0, 55872.0, 9777.0, 11819.0...</td>\n",
       "      <td>[35.0, -28.0, 2.0, -3.0, -21.0, -12.0, 56.0, 5...</td>\n",
       "      <td>0</td>\n",
       "      <td>2015-05-09 23:44:59.426</td>\n",
       "      <td>2015-05-09 23:44:59.426+00</td>\n",
       "      <td>math12</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "       Unnamed: 0  id               indra_time browser_latency  \\\n",
       "22801       16566  24  2015-05-09 23:43:52.371          -1,571   \n",
       "22814       16567  24  2015-05-09 23:43:53.272          -1,572   \n",
       "22828       16568  24  2015-05-09 23:43:54.170          -1,572   \n",
       "22844       16569  24  2015-05-09 23:43:55.073          -1,572   \n",
       "22864       16570  24  2015-05-09 23:43:56.273          -1,571   \n",
       "22875       16571  24  2015-05-09 23:43:57.173          -1,571   \n",
       "22890       16572  24  2015-05-09 23:43:58.073          -1,571   \n",
       "22912       16573  24  2015-05-09 23:43:59.273          -1,571   \n",
       "22924       16574  24  2015-05-09 23:44:00.172          -1,571   \n",
       "22936       16575  24  2015-05-09 23:44:01.071          -1,571   \n",
       "22960       15887  24  2015-05-09 23:44:02.274          -1,570   \n",
       "22973       15888  24  2015-05-09 23:44:03.174          -1,570   \n",
       "22987       15889  24  2015-05-09 23:44:04.074          -1,570   \n",
       "23007       15890  24  2015-05-09 23:44:05.273          -1,571   \n",
       "23021       15891  24  2015-05-09 23:44:06.172          -1,571   \n",
       "23033       15892  24  2015-05-09 23:44:07.073          -1,571   \n",
       "23054       15893  24  2015-05-09 23:44:08.272          -1,571   \n",
       "23069       15894  24  2015-05-09 23:44:09.173          -1,571   \n",
       "23084       15895  24  2015-05-09 23:44:10.072          -1,571   \n",
       "23104       15896  24  2015-05-09 23:44:11.271          -1,571   \n",
       "23119       15897  24  2015-05-09 23:44:12.173          -1,571   \n",
       "23135       15898  24  2015-05-09 23:44:13.073          -1,571   \n",
       "23153       15899  24  2015-05-09 23:44:14.273          -1,571   \n",
       "23166       15900  24  2015-05-09 23:44:15.172          -1,571   \n",
       "23181       15901  24  2015-05-09 23:44:16.072          -1,571   \n",
       "23200       15902  24  2015-05-09 23:44:17.272          -1,571   \n",
       "23215       15903  24  2015-05-09 23:44:18.172          -1,571   \n",
       "23231       15904  24  2015-05-09 23:44:19.072          -1,571   \n",
       "23249       15905  24  2015-05-09 23:44:20.269          -1,572   \n",
       "23265       15906  24  2015-05-09 23:44:21.171          -1,572   \n",
       "23360       15912  24  2015-05-09 23:44:27.172          -1,570   \n",
       "23373       15913  24  2015-05-09 23:44:28.073          -1,570   \n",
       "23388       15914  24  2015-05-09 23:44:28.971          -1,571   \n",
       "23407       15915  24  2015-05-09 23:44:30.171          -1,571   \n",
       "23424       15916  24  2015-05-09 23:44:31.071          -1,571   \n",
       "23439       15917  24  2015-05-09 23:44:31.971          -1,572   \n",
       "23459       15918  24  2015-05-09 23:44:33.168          -1,572   \n",
       "23471       15919  24  2015-05-09 23:44:34.069          -1,572   \n",
       "23487       15920  24  2015-05-09 23:44:34.971          -1,572   \n",
       "23508       15921  24  2015-05-09 23:44:36.171          -1,572   \n",
       "23520       15922  24  2015-05-09 23:44:37.070          -1,572   \n",
       "23533       15923  24  2015-05-09 23:44:37.968          -1,573   \n",
       "23556       15924  24  2015-05-09 23:44:39.168          -1,573   \n",
       "23568       15925  24  2015-05-09 23:44:40.067          -1,573   \n",
       "23580       15926  24  2015-05-09 23:44:40.979          -1,562   \n",
       "23603       15927  24  2015-05-09 23:44:42.179          -1,562   \n",
       "23617       15928  24  2015-05-09 23:44:43.079          -1,562   \n",
       "23629       15929  24  2015-05-09 23:44:43.971          -1,571   \n",
       "23651       15930  24  2015-05-09 23:44:45.171          -1,571   \n",
       "23665       15931  24  2015-05-09 23:44:46.071          -1,571   \n",
       "23678       15932  24  2015-05-09 23:44:46.968          -1,573   \n",
       "23700       15933  24  2015-05-09 23:44:48.167          -1,573   \n",
       "23714       15934  24  2015-05-09 23:44:49.068          -1,573   \n",
       "23725       15935  24  2015-05-09 23:44:49.972          -1,571   \n",
       "23749       15936  24  2015-05-09 23:44:51.170          -1,571   \n",
       "23764       15937  24  2015-05-09 23:44:52.069          -1,571   \n",
       "23777       15938  24  2015-05-09 23:44:52.970          -1,572   \n",
       "23799       15939  24  2015-05-09 23:44:54.170          -1,572   \n",
       "23813       15940  24  2015-05-09 23:44:55.068          -1,572   \n",
       "23828       15941  24  2015-05-09 23:44:55.969          -1,572   \n",
       "\n",
       "                  reading_time  attention_esense  meditation_esense  \\\n",
       "22801  2015-05-09 16:43:53.940                66                 51   \n",
       "22814  2015-05-09 16:43:54.905                77                 35   \n",
       "22828  2015-05-09 16:43:55.914                48                 47   \n",
       "22844  2015-05-09 16:43:56.898                50                 50   \n",
       "22864  2015-05-09 16:43:57.905                64                 43   \n",
       "22875  2015-05-09 16:43:58.899                61                 54   \n",
       "22890  2015-05-09 16:43:59.906                81                 56   \n",
       "22912  2015-05-09 16:44:00.891                81                 63   \n",
       "22924  2015-05-09 16:44:01.898                87                 69   \n",
       "22936  2015-05-09 16:44:02.914                93                 64   \n",
       "22960  2015-05-09 16:44:03.902               100                 69   \n",
       "22973  2015-05-09 16:44:04.877               100                 54   \n",
       "22987  2015-05-09 16:44:05.894                97                 43   \n",
       "23007  2015-05-09 16:44:06.898                88                 54   \n",
       "23021  2015-05-09 16:44:07.865                88                 53   \n",
       "23033  2015-05-09 16:44:08.866                75                 60   \n",
       "23054  2015-05-09 16:44:09.889               100                 67   \n",
       "23069  2015-05-09 16:44:10.874               100                 50   \n",
       "23084  2015-05-09 16:44:11.886               100                 48   \n",
       "23104  2015-05-09 16:44:12.865               100                 47   \n",
       "23119  2015-05-09 16:44:13.858               100                 38   \n",
       "23135  2015-05-09 16:44:14.855               100                 53   \n",
       "23153  2015-05-09 16:44:15.858               100                 53   \n",
       "23166  2015-05-09 16:44:16.843               100                 56   \n",
       "23181  2015-05-09 16:44:17.867               100                 67   \n",
       "23200  2015-05-09 16:44:18.849               100                 78   \n",
       "23215  2015-05-09 16:44:19.852               100                 78   \n",
       "23231  2015-05-09 16:44:20.863               100                 67   \n",
       "23249  2015-05-09 16:44:21.840                97                 77   \n",
       "23265  2015-05-09 16:44:22.830               100                 70   \n",
       "23360  2015-05-09 16:44:28.814                57                 44   \n",
       "23373  2015-05-09 16:44:29.825                57                 43   \n",
       "23388  2015-05-09 16:44:30.806                54                 44   \n",
       "23407  2015-05-09 16:44:31.826                41                 37   \n",
       "23424  2015-05-09 16:44:32.813                21                 35   \n",
       "23439  2015-05-09 16:44:33.815                23                 43   \n",
       "23459  2015-05-09 16:44:34.817                13                 38   \n",
       "23471  2015-05-09 16:44:35.805                23                 41   \n",
       "23487  2015-05-09 16:44:36.811                29                 53   \n",
       "23508  2015-05-09 16:44:37.805                37                 50   \n",
       "23520  2015-05-09 16:44:38.797                37                 50   \n",
       "23533  2015-05-09 16:44:39.799                47                 50   \n",
       "23556  2015-05-09 16:44:40.803                54                 43   \n",
       "23568  2015-05-09 16:44:41.779                47                 47   \n",
       "23580  2015-05-09 16:44:42.796                66                 44   \n",
       "23603  2015-05-09 16:44:43.785                48                 35   \n",
       "23617  2015-05-09 16:44:44.773                47                 37   \n",
       "23629  2015-05-09 16:44:45.772                70                 40   \n",
       "23651  2015-05-09 16:44:46.789                61                 37   \n",
       "23665  2015-05-09 16:44:47.764                88                 50   \n",
       "23678  2015-05-09 16:44:48.770                96                 53   \n",
       "23700  2015-05-09 16:44:49.796                64                 37   \n",
       "23714  2015-05-09 16:44:50.753                66                 35   \n",
       "23725  2015-05-09 16:44:51.758                53                 16   \n",
       "23749  2015-05-09 16:44:52.778                53                 35   \n",
       "23764  2015-05-09 16:44:53.755                54                 41   \n",
       "23777  2015-05-09 16:44:54.767                51                 38   \n",
       "23799  2015-05-09 16:44:55.770                44                 48   \n",
       "23813  2015-05-09 16:44:56.740                38                 44   \n",
       "23828  2015-05-09 16:44:57.759                40                 50   \n",
       "\n",
       "                                               eeg_power  \\\n",
       "22801  [128990.0, 10632.0, 4866.0, 1275.0, 2735.0, 71...   \n",
       "22814  [109639.0, 22225.0, 2367.0, 2229.0, 2908.0, 62...   \n",
       "22828  [239978.0, 90433.0, 28660.0, 5076.0, 7314.0, 1...   \n",
       "22844  [1542887.0, 46220.0, 13829.0, 23160.0, 10673.0...   \n",
       "22864  [139942.0, 43078.0, 4189.0, 11875.0, 14078.0, ...   \n",
       "22875  [384736.0, 35298.0, 18890.0, 16778.0, 30669.0,...   \n",
       "22890  [108563.0, 44355.0, 19714.0, 2775.0, 6193.0, 6...   \n",
       "22912  [21447.0, 35430.0, 46456.0, 14270.0, 9174.0, 8...   \n",
       "22924  [7613.0, 15930.0, 5178.0, 8712.0, 3263.0, 8210...   \n",
       "22936  [88781.0, 11124.0, 899.0, 4842.0, 3690.0, 5684...   \n",
       "22960  [17641.0, 9153.0, 3996.0, 15366.0, 9344.0, 127...   \n",
       "22973  [17941.0, 11009.0, 7222.0, 1628.0, 15526.0, 94...   \n",
       "22987  [348568.0, 104367.0, 3488.0, 12698.0, 3253.0, ...   \n",
       "23007  [56369.0, 26100.0, 18082.0, 23247.0, 14817.0, ...   \n",
       "23021  [15008.0, 9023.0, 13471.0, 6080.0, 16731.0, 12...   \n",
       "23033  [167622.0, 8329.0, 4518.0, 3009.0, 3211.0, 242...   \n",
       "23054  [8275.0, 19313.0, 6285.0, 6196.0, 4759.0, 1682...   \n",
       "23069  [30816.0, 31706.0, 3677.0, 2561.0, 4594.0, 118...   \n",
       "23084  [18394.0, 20509.0, 15741.0, 4225.0, 11895.0, 1...   \n",
       "23104  [7362.0, 7517.0, 3297.0, 7518.0, 8489.0, 7364....   \n",
       "23119  [7409.0, 18762.0, 2955.0, 2009.0, 4100.0, 1111...   \n",
       "23135  [5429.0, 9221.0, 15216.0, 7889.0, 20284.0, 831...   \n",
       "23153  [6991.0, 11155.0, 3990.0, 9619.0, 10667.0, 970...   \n",
       "23166  [6086.0, 7372.0, 4350.0, 6564.0, 1427.0, 5802....   \n",
       "23181  [2597.0, 18313.0, 8491.0, 5034.0, 3583.0, 7766...   \n",
       "23200  [13560.0, 11687.0, 1695.0, 33900.0, 7618.0, 44...   \n",
       "23215  [5503.0, 8043.0, 787.0, 8371.0, 3731.0, 10061....   \n",
       "23231  [32997.0, 19481.0, 3873.0, 4072.0, 4000.0, 835...   \n",
       "23249  [20410.0, 32394.0, 18716.0, 46295.0, 7875.0, 1...   \n",
       "23265  [19774.0, 12690.0, 6436.0, 16572.0, 6092.0, 71...   \n",
       "23360  [61005.0, 107502.0, 2903.0, 8912.0, 14029.0, 1...   \n",
       "23373  [737460.0, 192229.0, 18332.0, 23809.0, 17179.0...   \n",
       "23388  [229465.0, 68060.0, 30899.0, 60300.0, 20505.0,...   \n",
       "23407  [280099.0, 247861.0, 32425.0, 21326.0, 5166.0,...   \n",
       "23424  [2034739.0, 1113592.0, 49955.0, 22181.0, 16525...   \n",
       "23439  [2113864.0, 431079.0, 217636.0, 33111.0, 56240...   \n",
       "23459  [826980.0, 67461.0, 8683.0, 35699.0, 8919.0, 3...   \n",
       "23471  [1408778.0, 143589.0, 38677.0, 10215.0, 11899....   \n",
       "23487  [184247.0, 41558.0, 2773.0, 7438.0, 2766.0, 16...   \n",
       "23508  [1125277.0, 102510.0, 13189.0, 38344.0, 8150.0...   \n",
       "23520  [409542.0, 58224.0, 29197.0, 12524.0, 16050.0,...   \n",
       "23533  [823244.0, 505603.0, 85175.0, 94321.0, 118657....   \n",
       "23556  [81787.0, 44728.0, 2973.0, 2600.0, 1946.0, 384...   \n",
       "23568  [399574.0, 196427.0, 68107.0, 47463.0, 5983.0,...   \n",
       "23580  [264439.0, 18964.0, 9903.0, 11383.0, 19027.0, ...   \n",
       "23603  [310666.0, 159571.0, 11059.0, 4485.0, 7366.0, ...   \n",
       "23617  [726389.0, 151182.0, 16493.0, 2977.0, 4367.0, ...   \n",
       "23629  [4477.0, 7961.0, 22565.0, 6656.0, 9478.0, 2090...   \n",
       "23651  [92687.0, 191257.0, 35431.0, 37686.0, 15875.0,...   \n",
       "23665  [428567.0, 49294.0, 28324.0, 2592.0, 11523.0, ...   \n",
       "23678  [543001.0, 179467.0, 24984.0, 11285.0, 12763.0...   \n",
       "23700  [1790735.0, 705365.0, 66222.0, 36059.0, 48343....   \n",
       "23714  [1735139.0, 21651.0, 451.0, 7016.0, 1855.0, 26...   \n",
       "23725  [1021345.0, 348521.0, 9838.0, 14193.0, 35935.0...   \n",
       "23749  [410614.0, 19552.0, 25209.0, 15697.0, 11749.0,...   \n",
       "23764  [128100.0, 19432.0, 4397.0, 2228.0, 1459.0, 66...   \n",
       "23777  [1455795.0, 379838.0, 72846.0, 14890.0, 46967....   \n",
       "23799  [1672904.0, 1330941.0, 99719.0, 114692.0, 2583...   \n",
       "23813  [102367.0, 47288.0, 42012.0, 3256.0, 3681.0, 6...   \n",
       "23828  [2159489.0, 136563.0, 55872.0, 9777.0, 11819.0...   \n",
       "\n",
       "                                              raw_values  signal_quality  \\\n",
       "22801  [29.0, 25.0, 55.0, 66.0, 18.0, -7.0, 24.0, 16....               0   \n",
       "22814  [-30.0, 4.0, 90.0, 114.0, 60.0, 11.0, 4.0, 54....               0   \n",
       "22828  [-360.0, -391.0, -422.0, -421.0, -390.0, -353....               0   \n",
       "22844  [133.0, 107.0, 76.0, 98.0, 68.0, 69.0, 195.0, ...               0   \n",
       "22864  [123.0, 74.0, 40.0, 84.0, 84.0, 27.0, 28.0, 75...               0   \n",
       "22875  [-42.0, -14.0, -17.0, -27.0, -86.0, -116.0, -1...               0   \n",
       "22890  [25.0, 45.0, 32.0, 41.0, 41.0, 52.0, 64.0, 59....               0   \n",
       "22912  [33.0, 69.0, 37.0, -14.0, -14.0, 39.0, 120.0, ...               0   \n",
       "22924  [5.0, 53.0, 81.0, 67.0, 50.0, 65.0, 87.0, 71.0...               0   \n",
       "22936  [17.0, 27.0, 19.0, 2.0, 1.0, 16.0, 19.0, 25.0,...               0   \n",
       "22960  [90.0, 38.0, -18.0, -26.0, 4.0, 57.0, 122.0, 1...               0   \n",
       "22973  [40.0, 25.0, -22.0, -40.0, 0.0, 36.0, 38.0, 22...               0   \n",
       "22987  [89.0, 76.0, 56.0, 67.0, 60.0, 42.0, 67.0, 84....               0   \n",
       "23007  [53.0, 57.0, 35.0, 25.0, 48.0, 50.0, 50.0, 45....               0   \n",
       "23021  [4.0, 19.0, 34.0, 54.0, 52.0, 51.0, 56.0, 55.0...               0   \n",
       "23033  [60.0, 90.0, 91.0, 74.0, 55.0, 60.0, 74.0, 65....               0   \n",
       "23054  [56.0, 52.0, 52.0, 60.0, 83.0, 88.0, 76.0, 61....               0   \n",
       "23069  [9.0, 66.0, 109.0, 73.0, 43.0, 36.0, 37.0, 56....               0   \n",
       "23084  [82.0, 85.0, 66.0, 38.0, 44.0, 51.0, 37.0, 20....               0   \n",
       "23104  [24.0, 43.0, 50.0, 33.0, 32.0, 38.0, 45.0, 57....               0   \n",
       "23119  [93.0, 68.0, 36.0, 34.0, 58.0, 96.0, 104.0, 10...               0   \n",
       "23135  [25.0, 12.0, -8.0, -17.0, -28.0, -44.0, -61.0,...               0   \n",
       "23153  [70.0, 55.0, 56.0, 74.0, 87.0, 88.0, 90.0, 74....               0   \n",
       "23166  [41.0, 42.0, 41.0, 52.0, 59.0, 67.0, 58.0, 27....               0   \n",
       "23181  [59.0, 65.0, 71.0, 72.0, 70.0, 45.0, 4.0, -2.0...               0   \n",
       "23200  [-5.0, 3.0, 11.0, 11.0, 9.0, 13.0, 48.0, 53.0,...               0   \n",
       "23215  [38.0, 12.0, 26.0, 59.0, 52.0, 28.0, 27.0, 37....               0   \n",
       "23231  [73.0, 84.0, 105.0, 124.0, 124.0, 102.0, 92.0,...               0   \n",
       "23249  [23.0, 27.0, 28.0, 28.0, 26.0, 28.0, 41.0, 33....               0   \n",
       "23265  [40.0, 50.0, 57.0, 69.0, 60.0, 37.0, 32.0, 32....               0   \n",
       "23360  [-210.0, -29.0, 20.0, -49.0, -166.0, -290.0, -...               0   \n",
       "23373  [135.0, 97.0, 52.0, 73.0, 74.0, 41.0, 72.0, 88...               0   \n",
       "23388  [693.0, 640.0, 529.0, 420.0, 360.0, 329.0, 279...               0   \n",
       "23407  [21.0, 43.0, 8.0, 20.0, -150.0, -284.0, 4.0, 3...               0   \n",
       "23424  [-18.0, 74.0, 165.0, 180.0, 155.0, 144.0, 131....               0   \n",
       "23439  [-69.0, -26.0, 104.0, 208.0, 229.0, 109.0, -20...               0   \n",
       "23459  [82.0, 172.0, 259.0, 104.0, -49.0, 8.0, 155.0,...               0   \n",
       "23471  [-44.0, 2.0, 55.0, 98.0, 55.0, -54.0, -75.0, -...               0   \n",
       "23487  [3.0, 76.0, 161.0, 182.0, 106.0, 28.0, 69.0, 1...               0   \n",
       "23508  [48.0, 12.0, 36.0, 168.0, 342.0, 346.0, 203.0,...               0   \n",
       "23520  [76.0, 68.0, 20.0, 21.0, 52.0, 58.0, 40.0, 16....               0   \n",
       "23533  [-206.0, 33.0, 74.0, 28.0, 172.0, 114.0, -162....               0   \n",
       "23556  [-41.0, -41.0, 21.0, 96.0, 65.0, -3.0, 9.0, 54...               0   \n",
       "23568  [20.0, 33.0, 52.0, 25.0, 9.0, 60.0, 92.0, 35.0...               0   \n",
       "23580  [152.0, 119.0, -73.0, -90.0, -12.0, 16.0, -18....               0   \n",
       "23603  [98.0, 36.0, -4.0, 4.0, 7.0, 42.0, 156.0, 200....               0   \n",
       "23617  [-99.0, -20.0, 61.0, 33.0, -50.0, -69.0, 0.0, ...               0   \n",
       "23629  [162.0, 113.0, 34.0, -9.0, 20.0, 13.0, -17.0, ...               0   \n",
       "23651  [90.0, 65.0, 89.0, 41.0, -21.0, -8.0, -19.0, -...               0   \n",
       "23665  [88.0, 135.0, 74.0, 24.0, 54.0, 56.0, 43.0, 45...               0   \n",
       "23678  [26.0, 82.0, 124.0, 129.0, 86.0, 99.0, 140.0, ...               0   \n",
       "23700  [35.0, -24.0, 2.0, 155.0, 192.0, 7.0, -161.0, ...               0   \n",
       "23714  [-216.0, -281.0, -279.0, -233.0, -268.0, -294....               0   \n",
       "23725  [48.0, 72.0, 102.0, 72.0, 24.0, -5.0, 0.0, 22....               0   \n",
       "23749  [-29.0, 41.0, 20.0, -35.0, 26.0, 139.0, 98.0, ...               0   \n",
       "23764  [90.0, 73.0, 119.0, 189.0, 86.0, -57.0, -94.0,...               0   \n",
       "23777  [108.0, 120.0, 108.0, 115.0, 98.0, 61.0, 25.0,...               0   \n",
       "23799  [-57.0, -6.0, 23.0, 53.0, 56.0, 40.0, 5.0, -23...               0   \n",
       "23813  [64.0, 70.0, 131.0, 164.0, 128.0, 34.0, 21.0, ...               0   \n",
       "23828  [35.0, -28.0, 2.0, -3.0, -21.0, -12.0, 56.0, 5...               0   \n",
       "\n",
       "                     createdAt                     updatedAt   label  \n",
       "22801  2015-05-09 23:43:55.568    2015-05-09 23:43:55.568+00   relax  \n",
       "22814  2015-05-09 23:43:56.533    2015-05-09 23:43:56.533+00   relax  \n",
       "22828  2015-05-09 23:43:57.541    2015-05-09 23:43:57.541+00   relax  \n",
       "22844  2015-05-09 23:43:58.523    2015-05-09 23:43:58.523+00   relax  \n",
       "22864  2015-05-09 23:43:59.534    2015-05-09 23:43:59.534+00   relax  \n",
       "22875  2015-05-09 23:44:00.525    2015-05-09 23:44:00.525+00   relax  \n",
       "22890  2015-05-09 23:44:01.532    2015-05-09 23:44:01.532+00   relax  \n",
       "22912  2015-05-09 23:44:02.518    2015-05-09 23:44:02.518+00   relax  \n",
       "22924  2015-05-09 23:44:03.526    2015-05-09 23:44:03.526+00   relax  \n",
       "22936  2015-05-09 23:44:04.541  2015-05-09 23:44:04.541+00id   relax  \n",
       "22960  2015-05-09 23:44:05.527    2015-05-09 23:44:05.527+00   relax  \n",
       "22973  2015-05-09 23:44:06.509    2015-05-09 23:44:06.509+00   relax  \n",
       "22987  2015-05-09 23:44:07.519    2015-05-09 23:44:07.519+00   relax  \n",
       "23007  2015-05-09 23:44:08.524    2015-05-09 23:44:08.524+00   relax  \n",
       "23021  2015-05-09 23:44:09.492    2015-05-09 23:44:09.492+00   relax  \n",
       "23033  2015-05-09 23:44:10.492    2015-05-09 23:44:10.492+00   relax  \n",
       "23054  2015-05-09 23:44:11.517    2015-05-09 23:44:11.517+00   relax  \n",
       "23069  2015-05-09 23:44:12.499    2015-05-09 23:44:12.499+00   relax  \n",
       "23084  2015-05-09 23:44:13.512    2015-05-09 23:44:13.512+00   relax  \n",
       "23104  2015-05-09 23:44:14.492    2015-05-09 23:44:14.492+00   relax  \n",
       "23119  2015-05-09 23:44:15.484    2015-05-09 23:44:15.484+00   relax  \n",
       "23135  2015-05-09 23:44:16.480     2015-05-09 23:44:16.48+00   relax  \n",
       "23153  2015-05-09 23:44:17.484    2015-05-09 23:44:17.484+00   relax  \n",
       "23166  2015-05-09 23:44:18.469    2015-05-09 23:44:18.469+00   relax  \n",
       "23181  2015-05-09 23:44:19.493    2015-05-09 23:44:19.493+00   relax  \n",
       "23200  2015-05-09 23:44:20.475    2015-05-09 23:44:20.475+00   relax  \n",
       "23215  2015-05-09 23:44:21.485    2015-05-09 23:44:21.485+00   relax  \n",
       "23231  2015-05-09 23:44:22.490     2015-05-09 23:44:22.49+00   relax  \n",
       "23249  2015-05-09 23:44:23.467    2015-05-09 23:44:23.467+00   relax  \n",
       "23265  2015-05-09 23:44:24.455    2015-05-09 23:44:24.455+00   relax  \n",
       "23360  2015-05-09 23:44:30.441    2015-05-09 23:44:30.441+00   math1  \n",
       "23373  2015-05-09 23:44:31.453    2015-05-09 23:44:31.453+00   math1  \n",
       "23388  2015-05-09 23:44:32.432    2015-05-09 23:44:32.432+00   math2  \n",
       "23407  2015-05-09 23:44:33.453    2015-05-09 23:44:33.453+00   math2  \n",
       "23424  2015-05-09 23:44:34.439    2015-05-09 23:44:34.439+00   math2  \n",
       "23439  2015-05-09 23:44:35.442    2015-05-09 23:44:35.442+00   math3  \n",
       "23459  2015-05-09 23:44:36.444    2015-05-09 23:44:36.444+00   math3  \n",
       "23471  2015-05-09 23:44:37.432    2015-05-09 23:44:37.432+00   math4  \n",
       "23487  2015-05-09 23:44:38.442    2015-05-09 23:44:38.442+00   math4  \n",
       "23508  2015-05-09 23:44:39.430     2015-05-09 23:44:39.43+00   math4  \n",
       "23520  2015-05-09 23:44:40.425    2015-05-09 23:44:40.425+00   math5  \n",
       "23533  2015-05-09 23:44:41.426    2015-05-09 23:44:41.426+00   math5  \n",
       "23556  2015-05-09 23:44:42.475    2015-05-09 23:44:42.475+00   math6  \n",
       "23568  2015-05-09 23:44:43.407    2015-05-09 23:44:43.407+00   math6  \n",
       "23580  2015-05-09 23:44:44.425    2015-05-09 23:44:44.425+00   math6  \n",
       "23603  2015-05-09 23:44:45.415    2015-05-09 23:44:45.415+00   math7  \n",
       "23617  2015-05-09 23:44:46.400      2015-05-09 23:44:46.4+00   math7  \n",
       "23629  2015-05-09 23:44:47.400      2015-05-09 23:44:47.4+00   math8  \n",
       "23651  2015-05-09 23:44:48.419    2015-05-09 23:44:48.419+00   math8  \n",
       "23665  2015-05-09 23:44:49.392    2015-05-09 23:44:49.392+00   math8  \n",
       "23678  2015-05-09 23:44:50.398    2015-05-09 23:44:50.398+00   math9  \n",
       "23700  2015-05-09 23:44:51.426    2015-05-09 23:44:51.426+00   math9  \n",
       "23714  2015-05-09 23:44:52.384    2015-05-09 23:44:52.384+00  math10  \n",
       "23725  2015-05-09 23:44:53.387    2015-05-09 23:44:53.387+00  math10  \n",
       "23749  2015-05-09 23:44:54.410     2015-05-09 23:44:54.41+00  math10  \n",
       "23764  2015-05-09 23:44:55.384    2015-05-09 23:44:55.384+00  math11  \n",
       "23777  2015-05-09 23:44:56.395    2015-05-09 23:44:56.395+00  math11  \n",
       "23799  2015-05-09 23:44:57.401    2015-05-09 23:44:57.401+00  math12  \n",
       "23813  2015-05-09 23:44:58.368    2015-05-09 23:44:58.368+00  math12  \n",
       "23828  2015-05-09 23:44:59.426    2015-05-09 23:44:59.426+00  math12  "
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_grouped[df_grouped['id']==24]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "df_clean = df_grouped[['id','eeg_power', 'raw_values', 'label']]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/kitfarfan/anaconda/lib/python3.6/site-packages/ipykernel/__main__.py:1: SettingWithCopyWarning: \n",
      "A value is trying to be set on a copy of a slice from a DataFrame\n",
      "\n",
      "See the caveats in the documentation: http://pandas.pydata.org/pandas-docs/stable/indexing.html#indexing-view-versus-copy\n",
      "  if __name__ == '__main__':\n",
      "/Users/kitfarfan/anaconda/lib/python3.6/site-packages/pandas/core/generic.py:4702: SettingWithCopyWarning: \n",
      "A value is trying to be set on a copy of a slice from a DataFrame\n",
      "\n",
      "See the caveats in the documentation: http://pandas.pydata.org/pandas-docs/stable/indexing.html#indexing-view-versus-copy\n",
      "  self._update_inplace(new_data)\n",
      "/Users/kitfarfan/anaconda/lib/python3.6/site-packages/IPython/core/interactiveshell.py:2881: SettingWithCopyWarning: \n",
      "A value is trying to be set on a copy of a slice from a DataFrame\n",
      "\n",
      "See the caveats in the documentation: http://pandas.pydata.org/pandas-docs/stable/indexing.html#indexing-view-versus-copy\n",
      "  exec(code_obj, self.user_global_ns, self.user_ns)\n"
     ]
    }
   ],
   "source": [
    "df_clean.loc[:,'label'][df_clean.label != 'relax'] = 'focus'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
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       "      <th></th>\n",
       "      <th>id</th>\n",
       "      <th>eeg_power</th>\n",
       "      <th>raw_values</th>\n",
       "      <th>label</th>\n",
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       "      <th>13274</th>\n",
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       "      <td>[285.0, 241.0, 200.0, 161.0, 129.0, 90.0, 33.0...</td>\n",
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       "      <th>13275</th>\n",
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       "      <th>13278</th>\n",
       "      <td>13</td>\n",
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       "      <td>[99.0, 69.0, 9.0, -4.0, 16.0, 16.0, 17.0, 27.0...</td>\n",
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       "      <th>13279</th>\n",
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       "      <td>[39.0, 26.0, 18.0, 25.0, 40.0, 49.0, 58.0, 49....</td>\n",
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       "    <tr>\n",
       "      <th>13280</th>\n",
       "      <td>4</td>\n",
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       "      <td>[-3.0, -59.0, -28.0, 53.0, 105.0, 105.0, 98.0,...</td>\n",
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       "    <tr>\n",
       "      <th>13281</th>\n",
       "      <td>6</td>\n",
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       "      <td>[2.0, -4.0, -9.0, -30.0, -58.0, -52.0, -12.0, ...</td>\n",
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       "      <th>13282</th>\n",
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       "      <td>[-59.0, -56.0, -58.0, -59.0, -54.0, -40.0, -26...</td>\n",
       "      <td>relax</td>\n",
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       "    <tr>\n",
       "      <th>13283</th>\n",
       "      <td>12</td>\n",
       "      <td>[1413027.0, 38537.0, 45687.0, 17712.0, 55097.0...</td>\n",
       "      <td>[66.0, 67.0, 67.0, 60.0, 66.0, 80.0, 89.0, 81....</td>\n",
       "      <td>relax</td>\n",
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       "    <tr>\n",
       "      <th>13284</th>\n",
       "      <td>10</td>\n",
       "      <td>[44561.0, 21042.0, 15023.0, 15768.0, 4615.0, 1...</td>\n",
       "      <td>[7.0, 17.0, 11.0, -7.0, -29.0, -21.0, 2.0, -14...</td>\n",
       "      <td>relax</td>\n",
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       "    <tr>\n",
       "      <th>13285</th>\n",
       "      <td>8</td>\n",
       "      <td>[1158761.0, 122862.0, 31168.0, 68083.0, 46057....</td>\n",
       "      <td>[448.0, 362.0, 278.0, 218.0, 171.0, 144.0, 140...</td>\n",
       "      <td>relax</td>\n",
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       "    <tr>\n",
       "      <th>13286</th>\n",
       "      <td>11</td>\n",
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       "      <td>[-17.0, -9.0, -17.0, -6.0, 17.0, 39.0, 36.0, 3...</td>\n",
       "      <td>relax</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13287</th>\n",
       "      <td>7</td>\n",
       "      <td>[362618.0, 6879.0, 3139.0, 7392.0, 1850.0, 226...</td>\n",
       "      <td>[28.0, 43.0, 39.0, 27.0, 24.0, 28.0, 42.0, 50....</td>\n",
       "      <td>relax</td>\n",
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       "    <tr>\n",
       "      <th>13288</th>\n",
       "      <td>9</td>\n",
       "      <td>[57823.0, 17587.0, 8450.0, 4158.0, 66483.0, 50...</td>\n",
       "      <td>[100.0, 77.0, 16.0, -38.0, -21.0, 0.0, -14.0, ...</td>\n",
       "      <td>relax</td>\n",
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       "    <tr>\n",
       "      <th>13289</th>\n",
       "      <td>15</td>\n",
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       "      <th>13290</th>\n",
       "      <td>5</td>\n",
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       "      <td>[64.0, 82.0, 83.0, 67.0, 57.0, 40.0, 4.0, -3.0...</td>\n",
       "      <td>relax</td>\n",
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       "    <tr>\n",
       "      <th>13291</th>\n",
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       "      <td>[44.0, 45.0, 45.0, 51.0, 48.0, 45.0, 48.0, 42....</td>\n",
       "      <td>relax</td>\n",
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       "    <tr>\n",
       "      <th>13292</th>\n",
       "      <td>13</td>\n",
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       "      <td>[3.0, -19.0, -29.0, -19.0, 2.0, 0.0, -1.0, -18...</td>\n",
       "      <td>relax</td>\n",
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       "    <tr>\n",
       "      <th>13293</th>\n",
       "      <td>14</td>\n",
       "      <td>[36049.0, 45837.0, 9354.0, 4810.0, 2697.0, 503...</td>\n",
       "      <td>[-35.0, -40.0, -41.0, -18.0, 2.0, 13.0, 4.0, -...</td>\n",
       "      <td>relax</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13294</th>\n",
       "      <td>3</td>\n",
       "      <td>[70518.0, 61188.0, 4704.0, 5631.0, 1817.0, 409...</td>\n",
       "      <td>[93.0, 93.0, 89.0, 89.0, 99.0, 101.0, 104.0, 1...</td>\n",
       "      <td>relax</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13295</th>\n",
       "      <td>4</td>\n",
       "      <td>[2108037.0, 260431.0, 32049.0, 73947.0, 23506....</td>\n",
       "      <td>[-169.0, -168.0, -199.0, -202.0, -220.0, -283....</td>\n",
       "      <td>relax</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13296</th>\n",
       "      <td>2</td>\n",
       "      <td>[44417.0, 46917.0, 11425.0, 2721.0, 15792.0, 4...</td>\n",
       "      <td>[97.0, 101.0, 118.0, 123.0, 100.0, 77.0, 73.0,...</td>\n",
       "      <td>relax</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13297</th>\n",
       "      <td>12</td>\n",
       "      <td>[124076.0, 156117.0, 10525.0, 36482.0, 12262.0...</td>\n",
       "      <td>[8.0, 21.0, 24.0, 22.0, 23.0, 10.0, -11.0, -17...</td>\n",
       "      <td>relax</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13298</th>\n",
       "      <td>8</td>\n",
       "      <td>[389639.0, 48498.0, 13741.0, 10362.0, 12736.0,...</td>\n",
       "      <td>[203.0, 204.0, 203.0, 177.0, 99.0, -29.0, -212...</td>\n",
       "      <td>relax</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13299</th>\n",
       "      <td>6</td>\n",
       "      <td>[1937138.0, 315179.0, 127414.0, 23402.0, 15885...</td>\n",
       "      <td>[128.0, 116.0, 97.0, 96.0, 106.0, 115.0, 112.0...</td>\n",
       "      <td>relax</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13300</th>\n",
       "      <td>11</td>\n",
       "      <td>[370551.0, 22017.0, 13429.0, 12547.0, 16785.0,...</td>\n",
       "      <td>[2.0, -24.0, -8.0, 17.0, -12.0, -45.0, -38.0, ...</td>\n",
       "      <td>relax</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13301</th>\n",
       "      <td>9</td>\n",
       "      <td>[2066857.0, 591154.0, 276277.0, 123774.0, 2447...</td>\n",
       "      <td>[22.0, 12.0, 34.0, 87.0, 96.0, 39.0, -36.0, -7...</td>\n",
       "      <td>relax</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13302</th>\n",
       "      <td>10</td>\n",
       "      <td>[28542.0, 35924.0, 4893.0, 12270.0, 2864.0, 17...</td>\n",
       "      <td>[37.0, 38.0, 36.0, 24.0, 20.0, 24.0, 27.0, 50....</td>\n",
       "      <td>relax</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13303</th>\n",
       "      <td>15</td>\n",
       "      <td>[88317.0, 110556.0, 21737.0, 16414.0, 16647.0,...</td>\n",
       "      <td>[76.0, 129.0, 119.0, 52.0, -1.0, -3.0, 8.0, 22...</td>\n",
       "      <td>relax</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23803</th>\n",
       "      <td>21</td>\n",
       "      <td>[5030.0, 16243.0, 5452.0, 5791.0, 6344.0, 3676...</td>\n",
       "      <td>[40.0, 27.0, 20.0, 12.0, 18.0, 24.0, 16.0, 3.0...</td>\n",
       "      <td>focus</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23804</th>\n",
       "      <td>19</td>\n",
       "      <td>[76974.0, 41981.0, 23746.0, 5869.0, 8155.0, 38...</td>\n",
       "      <td>[53.0, 57.0, 65.0, 60.0, 45.0, 33.0, 20.0, 11....</td>\n",
       "      <td>focus</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23805</th>\n",
       "      <td>18</td>\n",
       "      <td>[92799.0, 30460.0, 13784.0, 9121.0, 3902.0, 45...</td>\n",
       "      <td>[42.0, 39.0, 35.0, 34.0, 24.0, 3.0, -17.0, -39...</td>\n",
       "      <td>focus</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23806</th>\n",
       "      <td>28</td>\n",
       "      <td>[107461.0, 28039.0, 3184.0, 826.0, 4778.0, 597...</td>\n",
       "      <td>[35.0, -4.0, -29.0, -34.0, -29.0, -38.0, -55.0...</td>\n",
       "      <td>focus</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23807</th>\n",
       "      <td>20</td>\n",
       "      <td>[82318.0, 47196.0, 6056.0, 2574.0, 3760.0, 576...</td>\n",
       "      <td>[37.0, 42.0, 50.0, 57.0, 71.0, 73.0, 57.0, 43....</td>\n",
       "      <td>focus</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23808</th>\n",
       "      <td>23</td>\n",
       "      <td>[5809.0, 30638.0, 2488.0, 17650.0, 3804.0, 585...</td>\n",
       "      <td>[76.0, 65.0, 45.0, 40.0, 58.0, 88.0, 85.0, 65....</td>\n",
       "      <td>focus</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23809</th>\n",
       "      <td>16</td>\n",
       "      <td>[14314.0, 8892.0, 2854.0, 8803.0, 11757.0, 600...</td>\n",
       "      <td>[26.0, 43.0, 44.0, 32.0, 23.0, 32.0, 39.0, 51....</td>\n",
       "      <td>focus</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23810</th>\n",
       "      <td>29</td>\n",
       "      <td>[10433.0, 2603.0, 9457.0, 22715.0, 8241.0, 701...</td>\n",
       "      <td>[49.0, 39.0, 35.0, 42.0, 49.0, 44.0, 38.0, 26....</td>\n",
       "      <td>focus</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23811</th>\n",
       "      <td>29</td>\n",
       "      <td>[10433.0, 2603.0, 9457.0, 22715.0, 8241.0, 701...</td>\n",
       "      <td>[49.0, 39.0, 35.0, 42.0, 49.0, 44.0, 38.0, 26....</td>\n",
       "      <td>focus</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23812</th>\n",
       "      <td>30</td>\n",
       "      <td>[231354.0, 9326.0, 2000.0, 3383.0, 3322.0, 642...</td>\n",
       "      <td>[50.0, 64.0, 87.0, 87.0, 64.0, 43.0, 45.0, 45....</td>\n",
       "      <td>focus</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23813</th>\n",
       "      <td>24</td>\n",
       "      <td>[102367.0, 47288.0, 42012.0, 3256.0, 3681.0, 6...</td>\n",
       "      <td>[64.0, 70.0, 131.0, 164.0, 128.0, 34.0, 21.0, ...</td>\n",
       "      <td>focus</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23814</th>\n",
       "      <td>25</td>\n",
       "      <td>[81708.0, 28490.0, 2684.0, 3564.0, 1764.0, 845...</td>\n",
       "      <td>[70.0, 70.0, 81.0, 98.0, 100.0, 93.0, 86.0, 87...</td>\n",
       "      <td>focus</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23815</th>\n",
       "      <td>26</td>\n",
       "      <td>[154962.0, 7700.0, 7096.0, 8938.0, 17960.0, 12...</td>\n",
       "      <td>[56.0, 71.0, 71.0, 58.0, 42.0, 33.0, 38.0, 43....</td>\n",
       "      <td>focus</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23816</th>\n",
       "      <td>27</td>\n",
       "      <td>[3530.0, 6675.0, 7446.0, 3403.0, 4497.0, 68995...</td>\n",
       "      <td>[89.0, 91.0, 55.0, -11.0, -41.0, -2.0, 43.0, 6...</td>\n",
       "      <td>focus</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23817</th>\n",
       "      <td>17</td>\n",
       "      <td>[19831.0, 11994.0, 5268.0, 16162.0, 8029.0, 11...</td>\n",
       "      <td>[67.0, 75.0, 69.0, 66.0, 58.0, 58.0, 73.0, 80....</td>\n",
       "      <td>focus</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23818</th>\n",
       "      <td>19</td>\n",
       "      <td>[502432.0, 77504.0, 8333.0, 42785.0, 13435.0, ...</td>\n",
       "      <td>[118.0, 105.0, 92.0, 92.0, 96.0, 84.0, 74.0, 7...</td>\n",
       "      <td>focus</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23819</th>\n",
       "      <td>28</td>\n",
       "      <td>[91699.0, 18205.0, 6578.0, 3539.0, 2962.0, 563...</td>\n",
       "      <td>[-10.0, -24.0, -19.0, -33.0, -67.0, -75.0, -49...</td>\n",
       "      <td>focus</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23820</th>\n",
       "      <td>22</td>\n",
       "      <td>[1278018.0, 141089.0, 50563.0, 91967.0, 16940....</td>\n",
       "      <td>[107.0, 150.0, 195.0, 181.0, 120.0, 102.0, 100...</td>\n",
       "      <td>focus</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23821</th>\n",
       "      <td>21</td>\n",
       "      <td>[44078.0, 34738.0, 2600.0, 4490.0, 865.0, 2089...</td>\n",
       "      <td>[-18.0, -8.0, -8.0, -10.0, -21.0, -23.0, -17.0...</td>\n",
       "      <td>focus</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23822</th>\n",
       "      <td>20</td>\n",
       "      <td>[5819.0, 14858.0, 4745.0, 2515.0, 4346.0, 5132...</td>\n",
       "      <td>[37.0, 50.0, 61.0, 67.0, 68.0, 59.0, 44.0, 36....</td>\n",
       "      <td>focus</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23823</th>\n",
       "      <td>23</td>\n",
       "      <td>[128770.0, 28939.0, 3234.0, 6921.0, 2549.0, 49...</td>\n",
       "      <td>[-27.0, -29.0, -35.0, -39.0, -39.0, -28.0, -10...</td>\n",
       "      <td>focus</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23824</th>\n",
       "      <td>18</td>\n",
       "      <td>[475078.0, 11709.0, 4597.0, 3541.0, 3291.0, 58...</td>\n",
       "      <td>[-138.0, -126.0, -120.0, -108.0, -83.0, -53.0,...</td>\n",
       "      <td>focus</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23825</th>\n",
       "      <td>29</td>\n",
       "      <td>[2219.0, 21780.0, 5045.0, 10613.0, 4743.0, 298...</td>\n",
       "      <td>[19.0, 19.0, 32.0, 43.0, 44.0, 45.0, 66.0, 76....</td>\n",
       "      <td>focus</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23826</th>\n",
       "      <td>29</td>\n",
       "      <td>[2219.0, 21780.0, 5045.0, 10613.0, 4743.0, 298...</td>\n",
       "      <td>[19.0, 19.0, 32.0, 43.0, 44.0, 45.0, 66.0, 76....</td>\n",
       "      <td>focus</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23827</th>\n",
       "      <td>30</td>\n",
       "      <td>[11425.0, 17573.0, 3405.0, 2698.0, 16331.0, 94...</td>\n",
       "      <td>[83.0, 80.0, 72.0, 70.0, 81.0, 70.0, 54.0, 54....</td>\n",
       "      <td>focus</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23828</th>\n",
       "      <td>24</td>\n",
       "      <td>[2159489.0, 136563.0, 55872.0, 9777.0, 11819.0...</td>\n",
       "      <td>[35.0, -28.0, 2.0, -3.0, -21.0, -12.0, 56.0, 5...</td>\n",
       "      <td>focus</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23829</th>\n",
       "      <td>25</td>\n",
       "      <td>[29164.0, 13290.0, 11052.0, 6885.0, 3829.0, 48...</td>\n",
       "      <td>[28.0, 1.0, 5.0, 38.0, 60.0, 60.0, 55.0, 57.0,...</td>\n",
       "      <td>focus</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23830</th>\n",
       "      <td>16</td>\n",
       "      <td>[35542.0, 32228.0, 1920.0, 2826.0, 3165.0, 162...</td>\n",
       "      <td>[106.0, 108.0, 91.0, 81.0, 72.0, 68.0, 67.0, 6...</td>\n",
       "      <td>focus</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23831</th>\n",
       "      <td>27</td>\n",
       "      <td>[577033.0, 21286.0, 11050.0, 6076.0, 10917.0, ...</td>\n",
       "      <td>[48.0, 37.0, 18.0, -3.0, -14.0, -14.0, 22.0, 7...</td>\n",
       "      <td>focus</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23832</th>\n",
       "      <td>26</td>\n",
       "      <td>[17292.0, 35218.0, 6800.0, 15515.0, 8642.0, 10...</td>\n",
       "      <td>[96.0, 75.0, 64.0, 64.0, 75.0, 84.0, 82.0, 76....</td>\n",
       "      <td>focus</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>1870 rows × 4 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "       id                                          eeg_power  \\\n",
       "13274   7  [5044.0, 10156.0, 3281.0, 10403.0, 12393.0, 10...   \n",
       "13275  11  [548188.0, 67192.0, 20298.0, 4142.0, 30576.0, ...   \n",
       "13276   5  [449571.0, 83093.0, 15379.0, 34656.0, 6750.0, ...   \n",
       "13277   1  [85497.0, 20547.0, 2723.0, 3270.0, 2522.0, 220...   \n",
       "13278  13  [72768.0, 44080.0, 25974.0, 16079.0, 12995.0, ...   \n",
       "13279  14  [10171.0, 13086.0, 13814.0, 9290.0, 9794.0, 82...   \n",
       "13280   4  [486066.0, 154967.0, 11921.0, 16636.0, 13902.0...   \n",
       "13281   6  [769537.0, 132633.0, 8882.0, 104962.0, 31441.0...   \n",
       "13282   2  [67919.0, 13799.0, 27658.0, 18156.0, 19295.0, ...   \n",
       "13283  12  [1413027.0, 38537.0, 45687.0, 17712.0, 55097.0...   \n",
       "13284  10  [44561.0, 21042.0, 15023.0, 15768.0, 4615.0, 1...   \n",
       "13285   8  [1158761.0, 122862.0, 31168.0, 68083.0, 46057....   \n",
       "13286  11  [533939.0, 129744.0, 5669.0, 16895.0, 12562.0,...   \n",
       "13287   7  [362618.0, 6879.0, 3139.0, 7392.0, 1850.0, 226...   \n",
       "13288   9  [57823.0, 17587.0, 8450.0, 4158.0, 66483.0, 50...   \n",
       "13289  15  [114842.0, 5492.0, 3220.0, 7979.0, 2550.0, 210...   \n",
       "13290   5  [256676.0, 13131.0, 5119.0, 4668.0, 3976.0, 29...   \n",
       "13291   1  [50036.0, 57439.0, 17659.0, 5816.0, 10021.0, 2...   \n",
       "13292  13  [524036.0, 651629.0, 78142.0, 53173.0, 16967.0...   \n",
       "13293  14  [36049.0, 45837.0, 9354.0, 4810.0, 2697.0, 503...   \n",
       "13294   3  [70518.0, 61188.0, 4704.0, 5631.0, 1817.0, 409...   \n",
       "13295   4  [2108037.0, 260431.0, 32049.0, 73947.0, 23506....   \n",
       "13296   2  [44417.0, 46917.0, 11425.0, 2721.0, 15792.0, 4...   \n",
       "13297  12  [124076.0, 156117.0, 10525.0, 36482.0, 12262.0...   \n",
       "13298   8  [389639.0, 48498.0, 13741.0, 10362.0, 12736.0,...   \n",
       "13299   6  [1937138.0, 315179.0, 127414.0, 23402.0, 15885...   \n",
       "13300  11  [370551.0, 22017.0, 13429.0, 12547.0, 16785.0,...   \n",
       "13301   9  [2066857.0, 591154.0, 276277.0, 123774.0, 2447...   \n",
       "13302  10  [28542.0, 35924.0, 4893.0, 12270.0, 2864.0, 17...   \n",
       "13303  15  [88317.0, 110556.0, 21737.0, 16414.0, 16647.0,...   \n",
       "...    ..                                                ...   \n",
       "23803  21  [5030.0, 16243.0, 5452.0, 5791.0, 6344.0, 3676...   \n",
       "23804  19  [76974.0, 41981.0, 23746.0, 5869.0, 8155.0, 38...   \n",
       "23805  18  [92799.0, 30460.0, 13784.0, 9121.0, 3902.0, 45...   \n",
       "23806  28  [107461.0, 28039.0, 3184.0, 826.0, 4778.0, 597...   \n",
       "23807  20  [82318.0, 47196.0, 6056.0, 2574.0, 3760.0, 576...   \n",
       "23808  23  [5809.0, 30638.0, 2488.0, 17650.0, 3804.0, 585...   \n",
       "23809  16  [14314.0, 8892.0, 2854.0, 8803.0, 11757.0, 600...   \n",
       "23810  29  [10433.0, 2603.0, 9457.0, 22715.0, 8241.0, 701...   \n",
       "23811  29  [10433.0, 2603.0, 9457.0, 22715.0, 8241.0, 701...   \n",
       "23812  30  [231354.0, 9326.0, 2000.0, 3383.0, 3322.0, 642...   \n",
       "23813  24  [102367.0, 47288.0, 42012.0, 3256.0, 3681.0, 6...   \n",
       "23814  25  [81708.0, 28490.0, 2684.0, 3564.0, 1764.0, 845...   \n",
       "23815  26  [154962.0, 7700.0, 7096.0, 8938.0, 17960.0, 12...   \n",
       "23816  27  [3530.0, 6675.0, 7446.0, 3403.0, 4497.0, 68995...   \n",
       "23817  17  [19831.0, 11994.0, 5268.0, 16162.0, 8029.0, 11...   \n",
       "23818  19  [502432.0, 77504.0, 8333.0, 42785.0, 13435.0, ...   \n",
       "23819  28  [91699.0, 18205.0, 6578.0, 3539.0, 2962.0, 563...   \n",
       "23820  22  [1278018.0, 141089.0, 50563.0, 91967.0, 16940....   \n",
       "23821  21  [44078.0, 34738.0, 2600.0, 4490.0, 865.0, 2089...   \n",
       "23822  20  [5819.0, 14858.0, 4745.0, 2515.0, 4346.0, 5132...   \n",
       "23823  23  [128770.0, 28939.0, 3234.0, 6921.0, 2549.0, 49...   \n",
       "23824  18  [475078.0, 11709.0, 4597.0, 3541.0, 3291.0, 58...   \n",
       "23825  29  [2219.0, 21780.0, 5045.0, 10613.0, 4743.0, 298...   \n",
       "23826  29  [2219.0, 21780.0, 5045.0, 10613.0, 4743.0, 298...   \n",
       "23827  30  [11425.0, 17573.0, 3405.0, 2698.0, 16331.0, 94...   \n",
       "23828  24  [2159489.0, 136563.0, 55872.0, 9777.0, 11819.0...   \n",
       "23829  25  [29164.0, 13290.0, 11052.0, 6885.0, 3829.0, 48...   \n",
       "23830  16  [35542.0, 32228.0, 1920.0, 2826.0, 3165.0, 162...   \n",
       "23831  27  [577033.0, 21286.0, 11050.0, 6076.0, 10917.0, ...   \n",
       "23832  26  [17292.0, 35218.0, 6800.0, 15515.0, 8642.0, 10...   \n",
       "\n",
       "                                              raw_values  label  \n",
       "13274  [285.0, 241.0, 200.0, 161.0, 129.0, 90.0, 33.0...  relax  \n",
       "13275  [-12.0, -60.0, -70.0, -74.0, -129.0, -183.0, -...  relax  \n",
       "13276  [37.0, 43.0, 42.0, 25.0, 12.0, 25.0, 42.0, 48....  relax  \n",
       "13277  [17.0, 19.0, 23.0, 25.0, 27.0, 38.0, 51.0, 52....  relax  \n",
       "13278  [99.0, 69.0, 9.0, -4.0, 16.0, 16.0, 17.0, 27.0...  relax  \n",
       "13279  [39.0, 26.0, 18.0, 25.0, 40.0, 49.0, 58.0, 49....  relax  \n",
       "13280  [-3.0, -59.0, -28.0, 53.0, 105.0, 105.0, 98.0,...  relax  \n",
       "13281  [2.0, -4.0, -9.0, -30.0, -58.0, -52.0, -12.0, ...  relax  \n",
       "13282  [-59.0, -56.0, -58.0, -59.0, -54.0, -40.0, -26...  relax  \n",
       "13283  [66.0, 67.0, 67.0, 60.0, 66.0, 80.0, 89.0, 81....  relax  \n",
       "13284  [7.0, 17.0, 11.0, -7.0, -29.0, -21.0, 2.0, -14...  relax  \n",
       "13285  [448.0, 362.0, 278.0, 218.0, 171.0, 144.0, 140...  relax  \n",
       "13286  [-17.0, -9.0, -17.0, -6.0, 17.0, 39.0, 36.0, 3...  relax  \n",
       "13287  [28.0, 43.0, 39.0, 27.0, 24.0, 28.0, 42.0, 50....  relax  \n",
       "13288  [100.0, 77.0, 16.0, -38.0, -21.0, 0.0, -14.0, ...  relax  \n",
       "13289  [-20.0, -45.0, -37.0, -17.0, -27.0, -43.0, -26...  relax  \n",
       "13290  [64.0, 82.0, 83.0, 67.0, 57.0, 40.0, 4.0, -3.0...  relax  \n",
       "13291  [44.0, 45.0, 45.0, 51.0, 48.0, 45.0, 48.0, 42....  relax  \n",
       "13292  [3.0, -19.0, -29.0, -19.0, 2.0, 0.0, -1.0, -18...  relax  \n",
       "13293  [-35.0, -40.0, -41.0, -18.0, 2.0, 13.0, 4.0, -...  relax  \n",
       "13294  [93.0, 93.0, 89.0, 89.0, 99.0, 101.0, 104.0, 1...  relax  \n",
       "13295  [-169.0, -168.0, -199.0, -202.0, -220.0, -283....  relax  \n",
       "13296  [97.0, 101.0, 118.0, 123.0, 100.0, 77.0, 73.0,...  relax  \n",
       "13297  [8.0, 21.0, 24.0, 22.0, 23.0, 10.0, -11.0, -17...  relax  \n",
       "13298  [203.0, 204.0, 203.0, 177.0, 99.0, -29.0, -212...  relax  \n",
       "13299  [128.0, 116.0, 97.0, 96.0, 106.0, 115.0, 112.0...  relax  \n",
       "13300  [2.0, -24.0, -8.0, 17.0, -12.0, -45.0, -38.0, ...  relax  \n",
       "13301  [22.0, 12.0, 34.0, 87.0, 96.0, 39.0, -36.0, -7...  relax  \n",
       "13302  [37.0, 38.0, 36.0, 24.0, 20.0, 24.0, 27.0, 50....  relax  \n",
       "13303  [76.0, 129.0, 119.0, 52.0, -1.0, -3.0, 8.0, 22...  relax  \n",
       "...                                                  ...    ...  \n",
       "23803  [40.0, 27.0, 20.0, 12.0, 18.0, 24.0, 16.0, 3.0...  focus  \n",
       "23804  [53.0, 57.0, 65.0, 60.0, 45.0, 33.0, 20.0, 11....  focus  \n",
       "23805  [42.0, 39.0, 35.0, 34.0, 24.0, 3.0, -17.0, -39...  focus  \n",
       "23806  [35.0, -4.0, -29.0, -34.0, -29.0, -38.0, -55.0...  focus  \n",
       "23807  [37.0, 42.0, 50.0, 57.0, 71.0, 73.0, 57.0, 43....  focus  \n",
       "23808  [76.0, 65.0, 45.0, 40.0, 58.0, 88.0, 85.0, 65....  focus  \n",
       "23809  [26.0, 43.0, 44.0, 32.0, 23.0, 32.0, 39.0, 51....  focus  \n",
       "23810  [49.0, 39.0, 35.0, 42.0, 49.0, 44.0, 38.0, 26....  focus  \n",
       "23811  [49.0, 39.0, 35.0, 42.0, 49.0, 44.0, 38.0, 26....  focus  \n",
       "23812  [50.0, 64.0, 87.0, 87.0, 64.0, 43.0, 45.0, 45....  focus  \n",
       "23813  [64.0, 70.0, 131.0, 164.0, 128.0, 34.0, 21.0, ...  focus  \n",
       "23814  [70.0, 70.0, 81.0, 98.0, 100.0, 93.0, 86.0, 87...  focus  \n",
       "23815  [56.0, 71.0, 71.0, 58.0, 42.0, 33.0, 38.0, 43....  focus  \n",
       "23816  [89.0, 91.0, 55.0, -11.0, -41.0, -2.0, 43.0, 6...  focus  \n",
       "23817  [67.0, 75.0, 69.0, 66.0, 58.0, 58.0, 73.0, 80....  focus  \n",
       "23818  [118.0, 105.0, 92.0, 92.0, 96.0, 84.0, 74.0, 7...  focus  \n",
       "23819  [-10.0, -24.0, -19.0, -33.0, -67.0, -75.0, -49...  focus  \n",
       "23820  [107.0, 150.0, 195.0, 181.0, 120.0, 102.0, 100...  focus  \n",
       "23821  [-18.0, -8.0, -8.0, -10.0, -21.0, -23.0, -17.0...  focus  \n",
       "23822  [37.0, 50.0, 61.0, 67.0, 68.0, 59.0, 44.0, 36....  focus  \n",
       "23823  [-27.0, -29.0, -35.0, -39.0, -39.0, -28.0, -10...  focus  \n",
       "23824  [-138.0, -126.0, -120.0, -108.0, -83.0, -53.0,...  focus  \n",
       "23825  [19.0, 19.0, 32.0, 43.0, 44.0, 45.0, 66.0, 76....  focus  \n",
       "23826  [19.0, 19.0, 32.0, 43.0, 44.0, 45.0, 66.0, 76....  focus  \n",
       "23827  [83.0, 80.0, 72.0, 70.0, 81.0, 70.0, 54.0, 54....  focus  \n",
       "23828  [35.0, -28.0, 2.0, -3.0, -21.0, -12.0, 56.0, 5...  focus  \n",
       "23829  [28.0, 1.0, 5.0, 38.0, 60.0, 60.0, 55.0, 57.0,...  focus  \n",
       "23830  [106.0, 108.0, 91.0, 81.0, 72.0, 68.0, 67.0, 6...  focus  \n",
       "23831  [48.0, 37.0, 18.0, -3.0, -14.0, -14.0, 22.0, 7...  focus  \n",
       "23832  [96.0, 75.0, 64.0, 64.0, 75.0, 84.0, 82.0, 76....  focus  \n",
       "\n",
       "[1870 rows x 4 columns]"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_clean"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "df_one_subject = df_clean[df_clean['id']==1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "60"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(df_one_subject)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "X = df_one_subject.drop(['label','raw_values'],1)\n",
    "y = df_one_subject['label']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "60"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(X)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Split each power reading into it's own column"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "eegpower_series = pd.Series(X['eeg_power']) \n",
    "eeg_cols=pd.DataFrame(eegpower_series.tolist()) \n",
    "eeg_cols['id'] = X['id'].values\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "eeg_cols = eeg_cols.drop('id',1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "from sklearn.model_selection import train_test_split\n",
    "\n",
    "X_train, X_test, y_train, y_test = train_test_split(eeg_cols,y,test_size=0.1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>0</th>\n",
       "      <th>1</th>\n",
       "      <th>2</th>\n",
       "      <th>3</th>\n",
       "      <th>4</th>\n",
       "      <th>5</th>\n",
       "      <th>6</th>\n",
       "      <th>7</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>179968.0</td>\n",
       "      <td>17539.0</td>\n",
       "      <td>16643.0</td>\n",
       "      <td>31706.0</td>\n",
       "      <td>13303.0</td>\n",
       "      <td>6961.0</td>\n",
       "      <td>3359.0</td>\n",
       "      <td>2656.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>160552.0</td>\n",
       "      <td>44796.0</td>\n",
       "      <td>13555.0</td>\n",
       "      <td>21970.0</td>\n",
       "      <td>12998.0</td>\n",
       "      <td>4266.0</td>\n",
       "      <td>2635.0</td>\n",
       "      <td>1820.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>38</th>\n",
       "      <td>17637.0</td>\n",
       "      <td>8693.0</td>\n",
       "      <td>66763.0</td>\n",
       "      <td>146565.0</td>\n",
       "      <td>24592.0</td>\n",
       "      <td>6576.0</td>\n",
       "      <td>2300.0</td>\n",
       "      <td>2203.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>40</th>\n",
       "      <td>13230.0</td>\n",
       "      <td>8127.0</td>\n",
       "      <td>11132.0</td>\n",
       "      <td>122631.0</td>\n",
       "      <td>11565.0</td>\n",
       "      <td>4495.0</td>\n",
       "      <td>2669.0</td>\n",
       "      <td>641.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>41</th>\n",
       "      <td>3696.0</td>\n",
       "      <td>36922.0</td>\n",
       "      <td>27992.0</td>\n",
       "      <td>222616.0</td>\n",
       "      <td>16098.0</td>\n",
       "      <td>30599.0</td>\n",
       "      <td>2910.0</td>\n",
       "      <td>1014.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>21452.0</td>\n",
       "      <td>37577.0</td>\n",
       "      <td>26425.0</td>\n",
       "      <td>4587.0</td>\n",
       "      <td>18445.0</td>\n",
       "      <td>9730.0</td>\n",
       "      <td>1633.0</td>\n",
       "      <td>1410.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>190851.0</td>\n",
       "      <td>46447.0</td>\n",
       "      <td>7622.0</td>\n",
       "      <td>9326.0</td>\n",
       "      <td>11090.0</td>\n",
       "      <td>20169.0</td>\n",
       "      <td>3870.0</td>\n",
       "      <td>1336.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>396835.0</td>\n",
       "      <td>313031.0</td>\n",
       "      <td>12196.0</td>\n",
       "      <td>13806.0</td>\n",
       "      <td>6779.0</td>\n",
       "      <td>9723.0</td>\n",
       "      <td>2633.0</td>\n",
       "      <td>1156.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>155790.0</td>\n",
       "      <td>43496.0</td>\n",
       "      <td>14414.0</td>\n",
       "      <td>8105.0</td>\n",
       "      <td>8255.0</td>\n",
       "      <td>7485.0</td>\n",
       "      <td>2610.0</td>\n",
       "      <td>4343.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>634547.0</td>\n",
       "      <td>16889.0</td>\n",
       "      <td>3938.0</td>\n",
       "      <td>4585.0</td>\n",
       "      <td>3886.0</td>\n",
       "      <td>2120.0</td>\n",
       "      <td>1839.0</td>\n",
       "      <td>963.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>49</th>\n",
       "      <td>17688.0</td>\n",
       "      <td>20602.0</td>\n",
       "      <td>26737.0</td>\n",
       "      <td>80210.0</td>\n",
       "      <td>30690.0</td>\n",
       "      <td>7936.0</td>\n",
       "      <td>1684.0</td>\n",
       "      <td>1318.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>61867.0</td>\n",
       "      <td>50113.0</td>\n",
       "      <td>15249.0</td>\n",
       "      <td>23042.0</td>\n",
       "      <td>6096.0</td>\n",
       "      <td>15258.0</td>\n",
       "      <td>2528.0</td>\n",
       "      <td>908.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>34</th>\n",
       "      <td>11888.0</td>\n",
       "      <td>14622.0</td>\n",
       "      <td>7172.0</td>\n",
       "      <td>12690.0</td>\n",
       "      <td>10048.0</td>\n",
       "      <td>7316.0</td>\n",
       "      <td>2437.0</td>\n",
       "      <td>2741.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>33</th>\n",
       "      <td>4641.0</td>\n",
       "      <td>22297.0</td>\n",
       "      <td>12585.0</td>\n",
       "      <td>35891.0</td>\n",
       "      <td>3410.0</td>\n",
       "      <td>4374.0</td>\n",
       "      <td>2610.0</td>\n",
       "      <td>1504.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>654856.0</td>\n",
       "      <td>15593.0</td>\n",
       "      <td>29536.0</td>\n",
       "      <td>2195.0</td>\n",
       "      <td>9782.0</td>\n",
       "      <td>4251.0</td>\n",
       "      <td>3421.0</td>\n",
       "      <td>2631.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>55</th>\n",
       "      <td>11051.0</td>\n",
       "      <td>46277.0</td>\n",
       "      <td>129555.0</td>\n",
       "      <td>102689.0</td>\n",
       "      <td>5928.0</td>\n",
       "      <td>10895.0</td>\n",
       "      <td>5809.0</td>\n",
       "      <td>1634.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>500234.0</td>\n",
       "      <td>42568.0</td>\n",
       "      <td>12181.0</td>\n",
       "      <td>16434.0</td>\n",
       "      <td>16543.0</td>\n",
       "      <td>12541.0</td>\n",
       "      <td>2636.0</td>\n",
       "      <td>3930.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>808539.0</td>\n",
       "      <td>99887.0</td>\n",
       "      <td>6214.0</td>\n",
       "      <td>4678.0</td>\n",
       "      <td>13998.0</td>\n",
       "      <td>6691.0</td>\n",
       "      <td>1437.0</td>\n",
       "      <td>1956.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39</th>\n",
       "      <td>13641.0</td>\n",
       "      <td>53578.0</td>\n",
       "      <td>23605.0</td>\n",
       "      <td>161039.0</td>\n",
       "      <td>29399.0</td>\n",
       "      <td>6569.0</td>\n",
       "      <td>3235.0</td>\n",
       "      <td>1564.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>1465193.0</td>\n",
       "      <td>110079.0</td>\n",
       "      <td>49257.0</td>\n",
       "      <td>58421.0</td>\n",
       "      <td>41243.0</td>\n",
       "      <td>16919.0</td>\n",
       "      <td>7661.0</td>\n",
       "      <td>9773.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>51</th>\n",
       "      <td>2890.0</td>\n",
       "      <td>10281.0</td>\n",
       "      <td>43907.0</td>\n",
       "      <td>64111.0</td>\n",
       "      <td>11092.0</td>\n",
       "      <td>6288.0</td>\n",
       "      <td>2173.0</td>\n",
       "      <td>825.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>174582.0</td>\n",
       "      <td>63327.0</td>\n",
       "      <td>14815.0</td>\n",
       "      <td>25082.0</td>\n",
       "      <td>14216.0</td>\n",
       "      <td>3306.0</td>\n",
       "      <td>1992.0</td>\n",
       "      <td>1136.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>56</th>\n",
       "      <td>33374.0</td>\n",
       "      <td>11831.0</td>\n",
       "      <td>3696.0</td>\n",
       "      <td>18759.0</td>\n",
       "      <td>8544.0</td>\n",
       "      <td>5122.0</td>\n",
       "      <td>4078.0</td>\n",
       "      <td>3548.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>226473.0</td>\n",
       "      <td>14523.0</td>\n",
       "      <td>1295.0</td>\n",
       "      <td>1744.0</td>\n",
       "      <td>3581.0</td>\n",
       "      <td>2690.0</td>\n",
       "      <td>523.0</td>\n",
       "      <td>576.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>30</th>\n",
       "      <td>6650.0</td>\n",
       "      <td>22871.0</td>\n",
       "      <td>45854.0</td>\n",
       "      <td>191253.0</td>\n",
       "      <td>15457.0</td>\n",
       "      <td>7563.0</td>\n",
       "      <td>3962.0</td>\n",
       "      <td>2285.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>35</th>\n",
       "      <td>15482.0</td>\n",
       "      <td>11558.0</td>\n",
       "      <td>32119.0</td>\n",
       "      <td>37042.0</td>\n",
       "      <td>25933.0</td>\n",
       "      <td>8644.0</td>\n",
       "      <td>1410.0</td>\n",
       "      <td>860.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>45</th>\n",
       "      <td>14033.0</td>\n",
       "      <td>36042.0</td>\n",
       "      <td>12625.0</td>\n",
       "      <td>47540.0</td>\n",
       "      <td>18539.0</td>\n",
       "      <td>12509.0</td>\n",
       "      <td>2390.0</td>\n",
       "      <td>1106.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>58</th>\n",
       "      <td>114362.0</td>\n",
       "      <td>16018.0</td>\n",
       "      <td>25348.0</td>\n",
       "      <td>38073.0</td>\n",
       "      <td>7682.0</td>\n",
       "      <td>6785.0</td>\n",
       "      <td>2074.0</td>\n",
       "      <td>936.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>59</th>\n",
       "      <td>22817.0</td>\n",
       "      <td>30823.0</td>\n",
       "      <td>1176.0</td>\n",
       "      <td>1976.0</td>\n",
       "      <td>1952.0</td>\n",
       "      <td>2064.0</td>\n",
       "      <td>500.0</td>\n",
       "      <td>371.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>36</th>\n",
       "      <td>7107.0</td>\n",
       "      <td>6816.0</td>\n",
       "      <td>1864.0</td>\n",
       "      <td>112342.0</td>\n",
       "      <td>10055.0</td>\n",
       "      <td>2803.0</td>\n",
       "      <td>2623.0</td>\n",
       "      <td>1126.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>265376.0</td>\n",
       "      <td>21289.0</td>\n",
       "      <td>6300.0</td>\n",
       "      <td>3168.0</td>\n",
       "      <td>1250.0</td>\n",
       "      <td>1834.0</td>\n",
       "      <td>3478.0</td>\n",
       "      <td>1605.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>54</th>\n",
       "      <td>6843.0</td>\n",
       "      <td>5721.0</td>\n",
       "      <td>17771.0</td>\n",
       "      <td>96605.0</td>\n",
       "      <td>27594.0</td>\n",
       "      <td>15218.0</td>\n",
       "      <td>1523.0</td>\n",
       "      <td>997.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>44</th>\n",
       "      <td>11462.0</td>\n",
       "      <td>27788.0</td>\n",
       "      <td>61575.0</td>\n",
       "      <td>119062.0</td>\n",
       "      <td>30606.0</td>\n",
       "      <td>12093.0</td>\n",
       "      <td>2294.0</td>\n",
       "      <td>1901.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32</th>\n",
       "      <td>22435.0</td>\n",
       "      <td>22581.0</td>\n",
       "      <td>7030.0</td>\n",
       "      <td>22607.0</td>\n",
       "      <td>19750.0</td>\n",
       "      <td>8554.0</td>\n",
       "      <td>4882.0</td>\n",
       "      <td>3404.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>132429.0</td>\n",
       "      <td>24231.0</td>\n",
       "      <td>3596.0</td>\n",
       "      <td>6952.0</td>\n",
       "      <td>2979.0</td>\n",
       "      <td>2487.0</td>\n",
       "      <td>1446.0</td>\n",
       "      <td>1649.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>114939.0</td>\n",
       "      <td>144172.0</td>\n",
       "      <td>118364.0</td>\n",
       "      <td>20580.0</td>\n",
       "      <td>22534.0</td>\n",
       "      <td>9144.0</td>\n",
       "      <td>3439.0</td>\n",
       "      <td>3032.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>604844.0</td>\n",
       "      <td>45607.0</td>\n",
       "      <td>12693.0</td>\n",
       "      <td>4812.0</td>\n",
       "      <td>10111.0</td>\n",
       "      <td>5187.0</td>\n",
       "      <td>1286.0</td>\n",
       "      <td>756.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>42</th>\n",
       "      <td>50288.0</td>\n",
       "      <td>40566.0</td>\n",
       "      <td>38773.0</td>\n",
       "      <td>83377.0</td>\n",
       "      <td>44965.0</td>\n",
       "      <td>26306.0</td>\n",
       "      <td>1104.0</td>\n",
       "      <td>4133.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>53</th>\n",
       "      <td>143208.0</td>\n",
       "      <td>49443.0</td>\n",
       "      <td>30992.0</td>\n",
       "      <td>72803.0</td>\n",
       "      <td>26976.0</td>\n",
       "      <td>11386.0</td>\n",
       "      <td>3425.0</td>\n",
       "      <td>3422.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>46</th>\n",
       "      <td>7243.0</td>\n",
       "      <td>12484.0</td>\n",
       "      <td>47874.0</td>\n",
       "      <td>57394.0</td>\n",
       "      <td>46335.0</td>\n",
       "      <td>30032.0</td>\n",
       "      <td>1706.0</td>\n",
       "      <td>1913.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>118547.0</td>\n",
       "      <td>29438.0</td>\n",
       "      <td>2045.0</td>\n",
       "      <td>3430.0</td>\n",
       "      <td>1752.0</td>\n",
       "      <td>927.0</td>\n",
       "      <td>959.0</td>\n",
       "      <td>918.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>55626.0</td>\n",
       "      <td>8455.0</td>\n",
       "      <td>2310.0</td>\n",
       "      <td>17392.0</td>\n",
       "      <td>7531.0</td>\n",
       "      <td>8307.0</td>\n",
       "      <td>3635.0</td>\n",
       "      <td>1812.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>545004.0</td>\n",
       "      <td>48019.0</td>\n",
       "      <td>5844.0</td>\n",
       "      <td>5804.0</td>\n",
       "      <td>4166.0</td>\n",
       "      <td>3328.0</td>\n",
       "      <td>456.0</td>\n",
       "      <td>626.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>7146.0</td>\n",
       "      <td>51617.0</td>\n",
       "      <td>19665.0</td>\n",
       "      <td>9369.0</td>\n",
       "      <td>6162.0</td>\n",
       "      <td>7144.0</td>\n",
       "      <td>1961.0</td>\n",
       "      <td>1853.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>50036.0</td>\n",
       "      <td>57439.0</td>\n",
       "      <td>17659.0</td>\n",
       "      <td>5816.0</td>\n",
       "      <td>10021.0</td>\n",
       "      <td>2917.0</td>\n",
       "      <td>1030.0</td>\n",
       "      <td>1264.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>223971.0</td>\n",
       "      <td>105078.0</td>\n",
       "      <td>1440.0</td>\n",
       "      <td>21766.0</td>\n",
       "      <td>51282.0</td>\n",
       "      <td>10086.0</td>\n",
       "      <td>11648.0</td>\n",
       "      <td>4001.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>57</th>\n",
       "      <td>263169.0</td>\n",
       "      <td>31802.0</td>\n",
       "      <td>7123.0</td>\n",
       "      <td>7273.0</td>\n",
       "      <td>6518.0</td>\n",
       "      <td>3476.0</td>\n",
       "      <td>1490.0</td>\n",
       "      <td>3103.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>85497.0</td>\n",
       "      <td>20547.0</td>\n",
       "      <td>2723.0</td>\n",
       "      <td>3270.0</td>\n",
       "      <td>2522.0</td>\n",
       "      <td>2209.0</td>\n",
       "      <td>449.0</td>\n",
       "      <td>393.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>52</th>\n",
       "      <td>3530.0</td>\n",
       "      <td>7091.0</td>\n",
       "      <td>19734.0</td>\n",
       "      <td>80265.0</td>\n",
       "      <td>10657.0</td>\n",
       "      <td>12959.0</td>\n",
       "      <td>3318.0</td>\n",
       "      <td>1259.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>43</th>\n",
       "      <td>11510.0</td>\n",
       "      <td>12157.0</td>\n",
       "      <td>79163.0</td>\n",
       "      <td>188047.0</td>\n",
       "      <td>43863.0</td>\n",
       "      <td>5092.0</td>\n",
       "      <td>2374.0</td>\n",
       "      <td>2038.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>224428.0</td>\n",
       "      <td>74399.0</td>\n",
       "      <td>33591.0</td>\n",
       "      <td>8670.0</td>\n",
       "      <td>17483.0</td>\n",
       "      <td>2447.0</td>\n",
       "      <td>3131.0</td>\n",
       "      <td>932.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>34044.0</td>\n",
       "      <td>19587.0</td>\n",
       "      <td>3982.0</td>\n",
       "      <td>7801.0</td>\n",
       "      <td>6282.0</td>\n",
       "      <td>3979.0</td>\n",
       "      <td>4541.0</td>\n",
       "      <td>1298.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>48</th>\n",
       "      <td>18517.0</td>\n",
       "      <td>30522.0</td>\n",
       "      <td>13822.0</td>\n",
       "      <td>102068.0</td>\n",
       "      <td>21927.0</td>\n",
       "      <td>12384.0</td>\n",
       "      <td>2236.0</td>\n",
       "      <td>1417.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>47</th>\n",
       "      <td>34056.0</td>\n",
       "      <td>24142.0</td>\n",
       "      <td>61051.0</td>\n",
       "      <td>119314.0</td>\n",
       "      <td>12628.0</td>\n",
       "      <td>14679.0</td>\n",
       "      <td>1345.0</td>\n",
       "      <td>2666.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "            0         1         2         3        4        5        6       7\n",
       "16   179968.0   17539.0   16643.0   31706.0  13303.0   6961.0   3359.0  2656.0\n",
       "3    160552.0   44796.0   13555.0   21970.0  12998.0   4266.0   2635.0  1820.0\n",
       "38    17637.0    8693.0   66763.0  146565.0  24592.0   6576.0   2300.0  2203.0\n",
       "40    13230.0    8127.0   11132.0  122631.0  11565.0   4495.0   2669.0   641.0\n",
       "41     3696.0   36922.0   27992.0  222616.0  16098.0  30599.0   2910.0  1014.0\n",
       "26    21452.0   37577.0   26425.0    4587.0  18445.0   9730.0   1633.0  1410.0\n",
       "23   190851.0   46447.0    7622.0    9326.0  11090.0  20169.0   3870.0  1336.0\n",
       "21   396835.0  313031.0   12196.0   13806.0   6779.0   9723.0   2633.0  1156.0\n",
       "2    155790.0   43496.0   14414.0    8105.0   8255.0   7485.0   2610.0  4343.0\n",
       "13   634547.0   16889.0    3938.0    4585.0   3886.0   2120.0   1839.0   963.0\n",
       "49    17688.0   20602.0   26737.0   80210.0  30690.0   7936.0   1684.0  1318.0\n",
       "25    61867.0   50113.0   15249.0   23042.0   6096.0  15258.0   2528.0   908.0\n",
       "34    11888.0   14622.0    7172.0   12690.0  10048.0   7316.0   2437.0  2741.0\n",
       "33     4641.0   22297.0   12585.0   35891.0   3410.0   4374.0   2610.0  1504.0\n",
       "5    654856.0   15593.0   29536.0    2195.0   9782.0   4251.0   3421.0  2631.0\n",
       "55    11051.0   46277.0  129555.0  102689.0   5928.0  10895.0   5809.0  1634.0\n",
       "20   500234.0   42568.0   12181.0   16434.0  16543.0  12541.0   2636.0  3930.0\n",
       "24   808539.0   99887.0    6214.0    4678.0  13998.0   6691.0   1437.0  1956.0\n",
       "39    13641.0   53578.0   23605.0  161039.0  29399.0   6569.0   3235.0  1564.0\n",
       "10  1465193.0  110079.0   49257.0   58421.0  41243.0  16919.0   7661.0  9773.0\n",
       "51     2890.0   10281.0   43907.0   64111.0  11092.0   6288.0   2173.0   825.0\n",
       "27   174582.0   63327.0   14815.0   25082.0  14216.0   3306.0   1992.0  1136.0\n",
       "56    33374.0   11831.0    3696.0   18759.0   8544.0   5122.0   4078.0  3548.0\n",
       "22   226473.0   14523.0    1295.0    1744.0   3581.0   2690.0    523.0   576.0\n",
       "30     6650.0   22871.0   45854.0  191253.0  15457.0   7563.0   3962.0  2285.0\n",
       "35    15482.0   11558.0   32119.0   37042.0  25933.0   8644.0   1410.0   860.0\n",
       "45    14033.0   36042.0   12625.0   47540.0  18539.0  12509.0   2390.0  1106.0\n",
       "58   114362.0   16018.0   25348.0   38073.0   7682.0   6785.0   2074.0   936.0\n",
       "59    22817.0   30823.0    1176.0    1976.0   1952.0   2064.0    500.0   371.0\n",
       "36     7107.0    6816.0    1864.0  112342.0  10055.0   2803.0   2623.0  1126.0\n",
       "29   265376.0   21289.0    6300.0    3168.0   1250.0   1834.0   3478.0  1605.0\n",
       "54     6843.0    5721.0   17771.0   96605.0  27594.0  15218.0   1523.0   997.0\n",
       "44    11462.0   27788.0   61575.0  119062.0  30606.0  12093.0   2294.0  1901.0\n",
       "32    22435.0   22581.0    7030.0   22607.0  19750.0   8554.0   4882.0  3404.0\n",
       "28   132429.0   24231.0    3596.0    6952.0   2979.0   2487.0   1446.0  1649.0\n",
       "14   114939.0  144172.0  118364.0   20580.0  22534.0   9144.0   3439.0  3032.0\n",
       "18   604844.0   45607.0   12693.0    4812.0  10111.0   5187.0   1286.0   756.0\n",
       "42    50288.0   40566.0   38773.0   83377.0  44965.0  26306.0   1104.0  4133.0\n",
       "53   143208.0   49443.0   30992.0   72803.0  26976.0  11386.0   3425.0  3422.0\n",
       "46     7243.0   12484.0   47874.0   57394.0  46335.0  30032.0   1706.0  1913.0\n",
       "12   118547.0   29438.0    2045.0    3430.0   1752.0    927.0    959.0   918.0\n",
       "6     55626.0    8455.0    2310.0   17392.0   7531.0   8307.0   3635.0  1812.0\n",
       "19   545004.0   48019.0    5844.0    5804.0   4166.0   3328.0    456.0   626.0\n",
       "7      7146.0   51617.0   19665.0    9369.0   6162.0   7144.0   1961.0  1853.0\n",
       "1     50036.0   57439.0   17659.0    5816.0  10021.0   2917.0   1030.0  1264.0\n",
       "9    223971.0  105078.0    1440.0   21766.0  51282.0  10086.0  11648.0  4001.0\n",
       "57   263169.0   31802.0    7123.0    7273.0   6518.0   3476.0   1490.0  3103.0\n",
       "0     85497.0   20547.0    2723.0    3270.0   2522.0   2209.0    449.0   393.0\n",
       "52     3530.0    7091.0   19734.0   80265.0  10657.0  12959.0   3318.0  1259.0\n",
       "43    11510.0   12157.0   79163.0  188047.0  43863.0   5092.0   2374.0  2038.0\n",
       "17   224428.0   74399.0   33591.0    8670.0  17483.0   2447.0   3131.0   932.0\n",
       "8     34044.0   19587.0    3982.0    7801.0   6282.0   3979.0   4541.0  1298.0\n",
       "48    18517.0   30522.0   13822.0  102068.0  21927.0  12384.0   2236.0  1417.0\n",
       "47    34056.0   24142.0   61051.0  119314.0  12628.0  14679.0   1345.0  2666.0"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X_train"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "from sklearn.model_selection import cross_val_score\n",
    "from sklearn import svm\n",
    "def cross_val_svm (X,y,n,kern='rbf'):\n",
    "    clf = svm.SVC(kernel=kern)\n",
    "    scores = cross_val_score(clf, X, y, cv=n)\n",
    "    return scores   "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0.5,  0.5,  0.5,  0.5])"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cross_val_svm(X_train,y_train,4)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### So this is pretty poor performance. To be fair we haven't tried very hard to optimize things. But we already know working with the raw spectrum and processing that is how the literature proceeds. Don't even know how one gets these power readings (something about the main frequency bands, blah blah blah)\n",
    "\n",
    "#### So lets fast fourier transform the raw signal and get our own poewr spectrum. And as per the literature review team's findings, we should average them out and log bin them. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "from scipy import stats\n",
    "from scipy.interpolate import interp1d\n",
    "import itertools\n",
    "\n",
    "def spectrum (vector):\n",
    "    #get power spectrum from array of raw EEG reading\n",
    "    fourier = np.fft.fft(vector)\n",
    "    pow_spec = np.abs(fourier)**2\n",
    "    pow_spec = pow_spec[:len(pow_spec)//2] #look this up j.i.c.\n",
    "    return pow_spec"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def binned (pspectra, n):\n",
    "    #compress an array of power spectra into vectors of length n'''\n",
    "    l = len(pspectra)\n",
    "    array = np.zeros([l,n])\n",
    "    for i,ps in enumerate(pspectra):\n",
    "        x = np.arange(1,len(ps)+1)\n",
    "        f = interp1d(x,ps)#/np.sum(ps))\n",
    "        array[i] = f(np.arange(1, n+1))\n",
    "    index = np.argwhere(array[:,0]==-1)\n",
    "    array = np.delete(array,index,0)\n",
    "    return array\n",
    "\n",
    "def feature_vector (readings, bins=100): # A function we apply to each group of power spectr\n",
    "    bins = binned(list(map(spectrum, readings)), bins)\n",
    "    return np.log10(np.mean(bins, 0))\n",
    "\n",
    "def grouper(n, iterable, fillvalue=None):\n",
    "    #\"grouper(3, 'ABCDEFG', 'x') --> ABC DEF Gxx\"\n",
    "    args = [iter(iterable)] * n\n",
    "    return itertools.zip_longest(*args, fillvalue=fillvalue)\n",
    "\n",
    "def vectors (df):\n",
    "    return [feature_vector(group) for group in list(grouper(3, df.raw_values.tolist()))[:-1]]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "13277    [17.0, 19.0, 23.0, 25.0, 27.0, 38.0, 51.0, 52....\n",
       "13291    [44.0, 45.0, 45.0, 51.0, 48.0, 45.0, 48.0, 42....\n",
       "13305    [-30.0, -33.0, -27.0, -29.0, -33.0, -33.0, -38...\n",
       "Name: raw_values, dtype: object"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "raw_reads = df_one_subject.raw_values[:3]\n",
    "raw_reads"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    " ##found this utitlity library from berkely-biosense. Exactly what we need\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>id</th>\n",
       "      <th>eeg_power</th>\n",
       "      <th>raw_values</th>\n",
       "      <th>label</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>13277</th>\n",
       "      <td>1</td>\n",
       "      <td>[85497.0, 20547.0, 2723.0, 3270.0, 2522.0, 220...</td>\n",
       "      <td>[17.0, 19.0, 23.0, 25.0, 27.0, 38.0, 51.0, 52....</td>\n",
       "      <td>relax</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13291</th>\n",
       "      <td>1</td>\n",
       "      <td>[50036.0, 57439.0, 17659.0, 5816.0, 10021.0, 2...</td>\n",
       "      <td>[44.0, 45.0, 45.0, 51.0, 48.0, 45.0, 48.0, 42....</td>\n",
       "      <td>relax</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13305</th>\n",
       "      <td>1</td>\n",
       "      <td>[155790.0, 43496.0, 14414.0, 8105.0, 8255.0, 7...</td>\n",
       "      <td>[-30.0, -33.0, -27.0, -29.0, -33.0, -33.0, -38...</td>\n",
       "      <td>relax</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13323</th>\n",
       "      <td>1</td>\n",
       "      <td>[160552.0, 44796.0, 13555.0, 21970.0, 12998.0,...</td>\n",
       "      <td>[57.0, 40.0, 3.0, -10.0, 16.0, 42.0, 65.0, 77....</td>\n",
       "      <td>relax</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13338</th>\n",
       "      <td>1</td>\n",
       "      <td>[18471.0, 31938.0, 35127.0, 14536.0, 8849.0, 4...</td>\n",
       "      <td>[-1.0, 12.0, 19.0, 16.0, 5.0, 9.0, 32.0, 45.0,...</td>\n",
       "      <td>relax</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13351</th>\n",
       "      <td>1</td>\n",
       "      <td>[654856.0, 15593.0, 29536.0, 2195.0, 9782.0, 4...</td>\n",
       "      <td>[29.0, 24.0, 20.0, 17.0, 12.0, 18.0, 28.0, 44....</td>\n",
       "      <td>relax</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13368</th>\n",
       "      <td>1</td>\n",
       "      <td>[55626.0, 8455.0, 2310.0, 17392.0, 7531.0, 830...</td>\n",
       "      <td>[70.0, 102.0, 81.0, 45.0, 35.0, 40.0, 40.0, 37...</td>\n",
       "      <td>relax</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13382</th>\n",
       "      <td>1</td>\n",
       "      <td>[7146.0, 51617.0, 19665.0, 9369.0, 6162.0, 714...</td>\n",
       "      <td>[7.0, 39.0, 49.0, 23.0, -2.0, -7.0, 16.0, 17.0...</td>\n",
       "      <td>relax</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13396</th>\n",
       "      <td>1</td>\n",
       "      <td>[34044.0, 19587.0, 3982.0, 7801.0, 6282.0, 397...</td>\n",
       "      <td>[26.0, 44.0, 60.0, 75.0, 97.0, 102.0, 89.0, 73...</td>\n",
       "      <td>relax</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13411</th>\n",
       "      <td>1</td>\n",
       "      <td>[223971.0, 105078.0, 1440.0, 21766.0, 51282.0,...</td>\n",
       "      <td>[121.0, 140.0, 128.0, 96.0, 102.0, 124.0, 120....</td>\n",
       "      <td>relax</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13427</th>\n",
       "      <td>1</td>\n",
       "      <td>[1465193.0, 110079.0, 49257.0, 58421.0, 41243....</td>\n",
       "      <td>[241.0, 157.0, 118.0, 120.0, 114.0, 88.0, 57.0...</td>\n",
       "      <td>relax</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13442</th>\n",
       "      <td>1</td>\n",
       "      <td>[192748.0, 153987.0, 18137.0, 17325.0, 7891.0,...</td>\n",
       "      <td>[481.0, 506.0, 505.0, 438.0, 374.0, 378.0, 408...</td>\n",
       "      <td>relax</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13454</th>\n",
       "      <td>1</td>\n",
       "      <td>[118547.0, 29438.0, 2045.0, 3430.0, 1752.0, 92...</td>\n",
       "      <td>[35.0, 20.0, 26.0, 40.0, 50.0, 71.0, 52.0, 13....</td>\n",
       "      <td>relax</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13470</th>\n",
       "      <td>1</td>\n",
       "      <td>[634547.0, 16889.0, 3938.0, 4585.0, 3886.0, 21...</td>\n",
       "      <td>[85.0, 88.0, 75.0, 56.0, 38.0, 35.0, 22.0, 13....</td>\n",
       "      <td>relax</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13489</th>\n",
       "      <td>1</td>\n",
       "      <td>[114939.0, 144172.0, 118364.0, 20580.0, 22534....</td>\n",
       "      <td>[58.0, 49.0, 39.0, 36.0, 20.0, 3.0, -2.0, -4.0...</td>\n",
       "      <td>relax</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13503</th>\n",
       "      <td>1</td>\n",
       "      <td>[646861.0, 59231.0, 76359.0, 27057.0, 22133.0,...</td>\n",
       "      <td>[48.0, 53.0, 71.0, 77.0, 80.0, 90.0, 89.0, 74....</td>\n",
       "      <td>relax</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13519</th>\n",
       "      <td>1</td>\n",
       "      <td>[179968.0, 17539.0, 16643.0, 31706.0, 13303.0,...</td>\n",
       "      <td>[109.0, 107.0, 100.0, 91.0, 103.0, 108.0, 102....</td>\n",
       "      <td>relax</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13533</th>\n",
       "      <td>1</td>\n",
       "      <td>[224428.0, 74399.0, 33591.0, 8670.0, 17483.0, ...</td>\n",
       "      <td>[-267.0, -249.0, -221.0, -197.0, -188.0, -187....</td>\n",
       "      <td>relax</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13547</th>\n",
       "      <td>1</td>\n",
       "      <td>[604844.0, 45607.0, 12693.0, 4812.0, 10111.0, ...</td>\n",
       "      <td>[54.0, 72.0, 68.0, 52.0, 40.0, 33.0, 32.0, 39....</td>\n",
       "      <td>relax</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13562</th>\n",
       "      <td>1</td>\n",
       "      <td>[545004.0, 48019.0, 5844.0, 5804.0, 4166.0, 33...</td>\n",
       "      <td>[2.0, 6.0, 4.0, -5.0, -11.0, -3.0, 2.0, -3.0, ...</td>\n",
       "      <td>relax</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13577</th>\n",
       "      <td>1</td>\n",
       "      <td>[500234.0, 42568.0, 12181.0, 16434.0, 16543.0,...</td>\n",
       "      <td>[85.0, 80.0, 88.0, 113.0, 122.0, 119.0, 128.0,...</td>\n",
       "      <td>relax</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13592</th>\n",
       "      <td>1</td>\n",
       "      <td>[396835.0, 313031.0, 12196.0, 13806.0, 6779.0,...</td>\n",
       "      <td>[54.0, 48.0, 56.0, 66.0, 68.0, 58.0, 41.0, 37....</td>\n",
       "      <td>relax</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13606</th>\n",
       "      <td>1</td>\n",
       "      <td>[226473.0, 14523.0, 1295.0, 1744.0, 3581.0, 26...</td>\n",
       "      <td>[-68.0, -56.0, -52.0, -54.0, -46.0, -35.0, -20...</td>\n",
       "      <td>relax</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13622</th>\n",
       "      <td>1</td>\n",
       "      <td>[190851.0, 46447.0, 7622.0, 9326.0, 11090.0, 2...</td>\n",
       "      <td>[35.0, 39.0, 56.0, 67.0, 70.0, 57.0, 51.0, 52....</td>\n",
       "      <td>relax</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13636</th>\n",
       "      <td>1</td>\n",
       "      <td>[808539.0, 99887.0, 6214.0, 4678.0, 13998.0, 6...</td>\n",
       "      <td>[168.0, 161.0, 155.0, 149.0, 131.0, 121.0, 132...</td>\n",
       "      <td>relax</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13651</th>\n",
       "      <td>1</td>\n",
       "      <td>[61867.0, 50113.0, 15249.0, 23042.0, 6096.0, 1...</td>\n",
       "      <td>[91.0, 100.0, 116.0, 134.0, 131.0, 128.0, 141....</td>\n",
       "      <td>relax</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13664</th>\n",
       "      <td>1</td>\n",
       "      <td>[21452.0, 37577.0, 26425.0, 4587.0, 18445.0, 9...</td>\n",
       "      <td>[48.0, 70.0, 86.0, 88.0, 75.0, 81.0, 90.0, 99....</td>\n",
       "      <td>relax</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13679</th>\n",
       "      <td>1</td>\n",
       "      <td>[174582.0, 63327.0, 14815.0, 25082.0, 14216.0,...</td>\n",
       "      <td>[17.0, 28.0, 44.0, 50.0, 50.0, 56.0, 59.0, 44....</td>\n",
       "      <td>relax</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13693</th>\n",
       "      <td>1</td>\n",
       "      <td>[132429.0, 24231.0, 3596.0, 6952.0, 2979.0, 24...</td>\n",
       "      <td>[86.0, 96.0, 91.0, 66.0, 51.0, 48.0, 45.0, 65....</td>\n",
       "      <td>relax</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13708</th>\n",
       "      <td>1</td>\n",
       "      <td>[265376.0, 21289.0, 6300.0, 3168.0, 1250.0, 18...</td>\n",
       "      <td>[22.0, 28.0, 55.0, 50.0, 49.0, 32.0, 41.0, 59....</td>\n",
       "      <td>relax</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13803</th>\n",
       "      <td>1</td>\n",
       "      <td>[6650.0, 22871.0, 45854.0, 191253.0, 15457.0, ...</td>\n",
       "      <td>[108.0, 114.0, 120.0, 123.0, 114.0, 104.0, 96....</td>\n",
       "      <td>focus</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13818</th>\n",
       "      <td>1</td>\n",
       "      <td>[17269.0, 46755.0, 7453.0, 41606.0, 30618.0, 8...</td>\n",
       "      <td>[73.0, 69.0, 70.0, 87.0, 104.0, 107.0, 109.0, ...</td>\n",
       "      <td>focus</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13835</th>\n",
       "      <td>1</td>\n",
       "      <td>[22435.0, 22581.0, 7030.0, 22607.0, 19750.0, 8...</td>\n",
       "      <td>[54.0, 60.0, 67.0, 64.0, 57.0, 59.0, 70.0, 73....</td>\n",
       "      <td>focus</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13848</th>\n",
       "      <td>1</td>\n",
       "      <td>[4641.0, 22297.0, 12585.0, 35891.0, 3410.0, 43...</td>\n",
       "      <td>[36.0, 24.0, 28.0, 43.0, 42.0, 36.0, 21.0, -4....</td>\n",
       "      <td>focus</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13863</th>\n",
       "      <td>1</td>\n",
       "      <td>[11888.0, 14622.0, 7172.0, 12690.0, 10048.0, 7...</td>\n",
       "      <td>[53.0, 66.0, 56.0, 55.0, 64.0, 53.0, 43.0, 52....</td>\n",
       "      <td>focus</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13881</th>\n",
       "      <td>1</td>\n",
       "      <td>[15482.0, 11558.0, 32119.0, 37042.0, 25933.0, ...</td>\n",
       "      <td>[52.0, 65.0, 57.0, 43.0, 40.0, 35.0, 26.0, 18....</td>\n",
       "      <td>focus</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13894</th>\n",
       "      <td>1</td>\n",
       "      <td>[7107.0, 6816.0, 1864.0, 112342.0, 10055.0, 28...</td>\n",
       "      <td>[35.0, 27.0, 20.0, 9.0, 12.0, 21.0, 19.0, 11.0...</td>\n",
       "      <td>focus</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13908</th>\n",
       "      <td>1</td>\n",
       "      <td>[20107.0, 72684.0, 25025.0, 113397.0, 28565.0,...</td>\n",
       "      <td>[28.0, 40.0, 53.0, 59.0, 54.0, 44.0, 35.0, 29....</td>\n",
       "      <td>focus</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13922</th>\n",
       "      <td>1</td>\n",
       "      <td>[17637.0, 8693.0, 66763.0, 146565.0, 24592.0, ...</td>\n",
       "      <td>[23.0, 36.0, 36.0, 36.0, 54.0, 76.0, 89.0, 89....</td>\n",
       "      <td>focus</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13939</th>\n",
       "      <td>1</td>\n",
       "      <td>[13641.0, 53578.0, 23605.0, 161039.0, 29399.0,...</td>\n",
       "      <td>[66.0, 58.0, 51.0, 37.0, 22.0, 22.0, 27.0, 28....</td>\n",
       "      <td>focus</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13951</th>\n",
       "      <td>1</td>\n",
       "      <td>[13230.0, 8127.0, 11132.0, 122631.0, 11565.0, ...</td>\n",
       "      <td>[89.0, 85.0, 77.0, 66.0, 55.0, 59.0, 60.0, 50....</td>\n",
       "      <td>focus</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13966</th>\n",
       "      <td>1</td>\n",
       "      <td>[3696.0, 36922.0, 27992.0, 222616.0, 16098.0, ...</td>\n",
       "      <td>[-3.0, 19.0, 35.0, 36.0, 26.0, 36.0, 60.0, 85....</td>\n",
       "      <td>focus</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13982</th>\n",
       "      <td>1</td>\n",
       "      <td>[50288.0, 40566.0, 38773.0, 83377.0, 44965.0, ...</td>\n",
       "      <td>[86.0, 81.0, 76.0, 76.0, 82.0, 73.0, 64.0, 49....</td>\n",
       "      <td>focus</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13998</th>\n",
       "      <td>1</td>\n",
       "      <td>[11510.0, 12157.0, 79163.0, 188047.0, 43863.0,...</td>\n",
       "      <td>[57.0, 29.0, 6.0, -6.0, -7.0, -7.0, -6.0, -2.0...</td>\n",
       "      <td>focus</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14012</th>\n",
       "      <td>1</td>\n",
       "      <td>[11462.0, 27788.0, 61575.0, 119062.0, 30606.0,...</td>\n",
       "      <td>[23.0, 48.0, 64.0, 54.0, 36.0, 26.0, 26.0, 27....</td>\n",
       "      <td>focus</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14027</th>\n",
       "      <td>1</td>\n",
       "      <td>[14033.0, 36042.0, 12625.0, 47540.0, 18539.0, ...</td>\n",
       "      <td>[96.0, 76.0, 65.0, 64.0, 68.0, 56.0, 37.0, 23....</td>\n",
       "      <td>focus</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14046</th>\n",
       "      <td>1</td>\n",
       "      <td>[7243.0, 12484.0, 47874.0, 57394.0, 46335.0, 3...</td>\n",
       "      <td>[61.0, 65.0, 59.0, 40.0, 29.0, 28.0, 18.0, 4.0...</td>\n",
       "      <td>focus</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14060</th>\n",
       "      <td>1</td>\n",
       "      <td>[34056.0, 24142.0, 61051.0, 119314.0, 12628.0,...</td>\n",
       "      <td>[12.0, 16.0, 20.0, 22.0, 22.0, 20.0, 10.0, 9.0...</td>\n",
       "      <td>focus</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14074</th>\n",
       "      <td>1</td>\n",
       "      <td>[18517.0, 30522.0, 13822.0, 102068.0, 21927.0,...</td>\n",
       "      <td>[2.0, 0.0, -2.0, -5.0, -19.0, -29.0, -25.0, -2...</td>\n",
       "      <td>focus</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14092</th>\n",
       "      <td>1</td>\n",
       "      <td>[17688.0, 20602.0, 26737.0, 80210.0, 30690.0, ...</td>\n",
       "      <td>[48.0, 48.0, 43.0, 35.0, 19.0, 10.0, 16.0, 19....</td>\n",
       "      <td>focus</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14107</th>\n",
       "      <td>1</td>\n",
       "      <td>[20148.0, 7016.0, 23182.0, 19044.0, 19904.0, 1...</td>\n",
       "      <td>[1.0, 1.0, 1.0, 12.0, 27.0, 36.0, 33.0, 34.0, ...</td>\n",
       "      <td>focus</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14120</th>\n",
       "      <td>1</td>\n",
       "      <td>[2890.0, 10281.0, 43907.0, 64111.0, 11092.0, 6...</td>\n",
       "      <td>[3.0, -2.0, -20.0, -22.0, -7.0, 2.0, -5.0, -4....</td>\n",
       "      <td>focus</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14133</th>\n",
       "      <td>1</td>\n",
       "      <td>[3530.0, 7091.0, 19734.0, 80265.0, 10657.0, 12...</td>\n",
       "      <td>[123.0, 139.0, 147.0, 137.0, 128.0, 118.0, 113...</td>\n",
       "      <td>focus</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14152</th>\n",
       "      <td>1</td>\n",
       "      <td>[143208.0, 49443.0, 30992.0, 72803.0, 26976.0,...</td>\n",
       "      <td>[24.0, 43.0, 54.0, 58.0, 69.0, 73.0, 75.0, 83....</td>\n",
       "      <td>focus</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14167</th>\n",
       "      <td>1</td>\n",
       "      <td>[6843.0, 5721.0, 17771.0, 96605.0, 27594.0, 15...</td>\n",
       "      <td>[-2.0, 10.0, 24.0, 25.0, 16.0, 21.0, 36.0, 42....</td>\n",
       "      <td>focus</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14180</th>\n",
       "      <td>1</td>\n",
       "      <td>[11051.0, 46277.0, 129555.0, 102689.0, 5928.0,...</td>\n",
       "      <td>[58.0, 61.0, 64.0, 56.0, 59.0, 69.0, 60.0, 44....</td>\n",
       "      <td>focus</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14194</th>\n",
       "      <td>1</td>\n",
       "      <td>[33374.0, 11831.0, 3696.0, 18759.0, 8544.0, 51...</td>\n",
       "      <td>[75.0, 72.0, 72.0, 65.0, 36.0, 12.0, 17.0, 27....</td>\n",
       "      <td>focus</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14212</th>\n",
       "      <td>1</td>\n",
       "      <td>[263169.0, 31802.0, 7123.0, 7273.0, 6518.0, 34...</td>\n",
       "      <td>[41.0, 66.0, 82.0, 76.0, 58.0, 48.0, 53.0, 64....</td>\n",
       "      <td>focus</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14224</th>\n",
       "      <td>1</td>\n",
       "      <td>[114362.0, 16018.0, 25348.0, 38073.0, 7682.0, ...</td>\n",
       "      <td>[35.0, 40.0, 52.0, 54.0, 40.0, 26.0, 23.0, 19....</td>\n",
       "      <td>focus</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14239</th>\n",
       "      <td>1</td>\n",
       "      <td>[22817.0, 30823.0, 1176.0, 1976.0, 1952.0, 206...</td>\n",
       "      <td>[67.0, 73.0, 80.0, 72.0, 60.0, 53.0, 49.0, 50....</td>\n",
       "      <td>focus</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "       id                                          eeg_power  \\\n",
       "13277   1  [85497.0, 20547.0, 2723.0, 3270.0, 2522.0, 220...   \n",
       "13291   1  [50036.0, 57439.0, 17659.0, 5816.0, 10021.0, 2...   \n",
       "13305   1  [155790.0, 43496.0, 14414.0, 8105.0, 8255.0, 7...   \n",
       "13323   1  [160552.0, 44796.0, 13555.0, 21970.0, 12998.0,...   \n",
       "13338   1  [18471.0, 31938.0, 35127.0, 14536.0, 8849.0, 4...   \n",
       "13351   1  [654856.0, 15593.0, 29536.0, 2195.0, 9782.0, 4...   \n",
       "13368   1  [55626.0, 8455.0, 2310.0, 17392.0, 7531.0, 830...   \n",
       "13382   1  [7146.0, 51617.0, 19665.0, 9369.0, 6162.0, 714...   \n",
       "13396   1  [34044.0, 19587.0, 3982.0, 7801.0, 6282.0, 397...   \n",
       "13411   1  [223971.0, 105078.0, 1440.0, 21766.0, 51282.0,...   \n",
       "13427   1  [1465193.0, 110079.0, 49257.0, 58421.0, 41243....   \n",
       "13442   1  [192748.0, 153987.0, 18137.0, 17325.0, 7891.0,...   \n",
       "13454   1  [118547.0, 29438.0, 2045.0, 3430.0, 1752.0, 92...   \n",
       "13470   1  [634547.0, 16889.0, 3938.0, 4585.0, 3886.0, 21...   \n",
       "13489   1  [114939.0, 144172.0, 118364.0, 20580.0, 22534....   \n",
       "13503   1  [646861.0, 59231.0, 76359.0, 27057.0, 22133.0,...   \n",
       "13519   1  [179968.0, 17539.0, 16643.0, 31706.0, 13303.0,...   \n",
       "13533   1  [224428.0, 74399.0, 33591.0, 8670.0, 17483.0, ...   \n",
       "13547   1  [604844.0, 45607.0, 12693.0, 4812.0, 10111.0, ...   \n",
       "13562   1  [545004.0, 48019.0, 5844.0, 5804.0, 4166.0, 33...   \n",
       "13577   1  [500234.0, 42568.0, 12181.0, 16434.0, 16543.0,...   \n",
       "13592   1  [396835.0, 313031.0, 12196.0, 13806.0, 6779.0,...   \n",
       "13606   1  [226473.0, 14523.0, 1295.0, 1744.0, 3581.0, 26...   \n",
       "13622   1  [190851.0, 46447.0, 7622.0, 9326.0, 11090.0, 2...   \n",
       "13636   1  [808539.0, 99887.0, 6214.0, 4678.0, 13998.0, 6...   \n",
       "13651   1  [61867.0, 50113.0, 15249.0, 23042.0, 6096.0, 1...   \n",
       "13664   1  [21452.0, 37577.0, 26425.0, 4587.0, 18445.0, 9...   \n",
       "13679   1  [174582.0, 63327.0, 14815.0, 25082.0, 14216.0,...   \n",
       "13693   1  [132429.0, 24231.0, 3596.0, 6952.0, 2979.0, 24...   \n",
       "13708   1  [265376.0, 21289.0, 6300.0, 3168.0, 1250.0, 18...   \n",
       "13803   1  [6650.0, 22871.0, 45854.0, 191253.0, 15457.0, ...   \n",
       "13818   1  [17269.0, 46755.0, 7453.0, 41606.0, 30618.0, 8...   \n",
       "13835   1  [22435.0, 22581.0, 7030.0, 22607.0, 19750.0, 8...   \n",
       "13848   1  [4641.0, 22297.0, 12585.0, 35891.0, 3410.0, 43...   \n",
       "13863   1  [11888.0, 14622.0, 7172.0, 12690.0, 10048.0, 7...   \n",
       "13881   1  [15482.0, 11558.0, 32119.0, 37042.0, 25933.0, ...   \n",
       "13894   1  [7107.0, 6816.0, 1864.0, 112342.0, 10055.0, 28...   \n",
       "13908   1  [20107.0, 72684.0, 25025.0, 113397.0, 28565.0,...   \n",
       "13922   1  [17637.0, 8693.0, 66763.0, 146565.0, 24592.0, ...   \n",
       "13939   1  [13641.0, 53578.0, 23605.0, 161039.0, 29399.0,...   \n",
       "13951   1  [13230.0, 8127.0, 11132.0, 122631.0, 11565.0, ...   \n",
       "13966   1  [3696.0, 36922.0, 27992.0, 222616.0, 16098.0, ...   \n",
       "13982   1  [50288.0, 40566.0, 38773.0, 83377.0, 44965.0, ...   \n",
       "13998   1  [11510.0, 12157.0, 79163.0, 188047.0, 43863.0,...   \n",
       "14012   1  [11462.0, 27788.0, 61575.0, 119062.0, 30606.0,...   \n",
       "14027   1  [14033.0, 36042.0, 12625.0, 47540.0, 18539.0, ...   \n",
       "14046   1  [7243.0, 12484.0, 47874.0, 57394.0, 46335.0, 3...   \n",
       "14060   1  [34056.0, 24142.0, 61051.0, 119314.0, 12628.0,...   \n",
       "14074   1  [18517.0, 30522.0, 13822.0, 102068.0, 21927.0,...   \n",
       "14092   1  [17688.0, 20602.0, 26737.0, 80210.0, 30690.0, ...   \n",
       "14107   1  [20148.0, 7016.0, 23182.0, 19044.0, 19904.0, 1...   \n",
       "14120   1  [2890.0, 10281.0, 43907.0, 64111.0, 11092.0, 6...   \n",
       "14133   1  [3530.0, 7091.0, 19734.0, 80265.0, 10657.0, 12...   \n",
       "14152   1  [143208.0, 49443.0, 30992.0, 72803.0, 26976.0,...   \n",
       "14167   1  [6843.0, 5721.0, 17771.0, 96605.0, 27594.0, 15...   \n",
       "14180   1  [11051.0, 46277.0, 129555.0, 102689.0, 5928.0,...   \n",
       "14194   1  [33374.0, 11831.0, 3696.0, 18759.0, 8544.0, 51...   \n",
       "14212   1  [263169.0, 31802.0, 7123.0, 7273.0, 6518.0, 34...   \n",
       "14224   1  [114362.0, 16018.0, 25348.0, 38073.0, 7682.0, ...   \n",
       "14239   1  [22817.0, 30823.0, 1176.0, 1976.0, 1952.0, 206...   \n",
       "\n",
       "                                              raw_values  label  \n",
       "13277  [17.0, 19.0, 23.0, 25.0, 27.0, 38.0, 51.0, 52....  relax  \n",
       "13291  [44.0, 45.0, 45.0, 51.0, 48.0, 45.0, 48.0, 42....  relax  \n",
       "13305  [-30.0, -33.0, -27.0, -29.0, -33.0, -33.0, -38...  relax  \n",
       "13323  [57.0, 40.0, 3.0, -10.0, 16.0, 42.0, 65.0, 77....  relax  \n",
       "13338  [-1.0, 12.0, 19.0, 16.0, 5.0, 9.0, 32.0, 45.0,...  relax  \n",
       "13351  [29.0, 24.0, 20.0, 17.0, 12.0, 18.0, 28.0, 44....  relax  \n",
       "13368  [70.0, 102.0, 81.0, 45.0, 35.0, 40.0, 40.0, 37...  relax  \n",
       "13382  [7.0, 39.0, 49.0, 23.0, -2.0, -7.0, 16.0, 17.0...  relax  \n",
       "13396  [26.0, 44.0, 60.0, 75.0, 97.0, 102.0, 89.0, 73...  relax  \n",
       "13411  [121.0, 140.0, 128.0, 96.0, 102.0, 124.0, 120....  relax  \n",
       "13427  [241.0, 157.0, 118.0, 120.0, 114.0, 88.0, 57.0...  relax  \n",
       "13442  [481.0, 506.0, 505.0, 438.0, 374.0, 378.0, 408...  relax  \n",
       "13454  [35.0, 20.0, 26.0, 40.0, 50.0, 71.0, 52.0, 13....  relax  \n",
       "13470  [85.0, 88.0, 75.0, 56.0, 38.0, 35.0, 22.0, 13....  relax  \n",
       "13489  [58.0, 49.0, 39.0, 36.0, 20.0, 3.0, -2.0, -4.0...  relax  \n",
       "13503  [48.0, 53.0, 71.0, 77.0, 80.0, 90.0, 89.0, 74....  relax  \n",
       "13519  [109.0, 107.0, 100.0, 91.0, 103.0, 108.0, 102....  relax  \n",
       "13533  [-267.0, -249.0, -221.0, -197.0, -188.0, -187....  relax  \n",
       "13547  [54.0, 72.0, 68.0, 52.0, 40.0, 33.0, 32.0, 39....  relax  \n",
       "13562  [2.0, 6.0, 4.0, -5.0, -11.0, -3.0, 2.0, -3.0, ...  relax  \n",
       "13577  [85.0, 80.0, 88.0, 113.0, 122.0, 119.0, 128.0,...  relax  \n",
       "13592  [54.0, 48.0, 56.0, 66.0, 68.0, 58.0, 41.0, 37....  relax  \n",
       "13606  [-68.0, -56.0, -52.0, -54.0, -46.0, -35.0, -20...  relax  \n",
       "13622  [35.0, 39.0, 56.0, 67.0, 70.0, 57.0, 51.0, 52....  relax  \n",
       "13636  [168.0, 161.0, 155.0, 149.0, 131.0, 121.0, 132...  relax  \n",
       "13651  [91.0, 100.0, 116.0, 134.0, 131.0, 128.0, 141....  relax  \n",
       "13664  [48.0, 70.0, 86.0, 88.0, 75.0, 81.0, 90.0, 99....  relax  \n",
       "13679  [17.0, 28.0, 44.0, 50.0, 50.0, 56.0, 59.0, 44....  relax  \n",
       "13693  [86.0, 96.0, 91.0, 66.0, 51.0, 48.0, 45.0, 65....  relax  \n",
       "13708  [22.0, 28.0, 55.0, 50.0, 49.0, 32.0, 41.0, 59....  relax  \n",
       "13803  [108.0, 114.0, 120.0, 123.0, 114.0, 104.0, 96....  focus  \n",
       "13818  [73.0, 69.0, 70.0, 87.0, 104.0, 107.0, 109.0, ...  focus  \n",
       "13835  [54.0, 60.0, 67.0, 64.0, 57.0, 59.0, 70.0, 73....  focus  \n",
       "13848  [36.0, 24.0, 28.0, 43.0, 42.0, 36.0, 21.0, -4....  focus  \n",
       "13863  [53.0, 66.0, 56.0, 55.0, 64.0, 53.0, 43.0, 52....  focus  \n",
       "13881  [52.0, 65.0, 57.0, 43.0, 40.0, 35.0, 26.0, 18....  focus  \n",
       "13894  [35.0, 27.0, 20.0, 9.0, 12.0, 21.0, 19.0, 11.0...  focus  \n",
       "13908  [28.0, 40.0, 53.0, 59.0, 54.0, 44.0, 35.0, 29....  focus  \n",
       "13922  [23.0, 36.0, 36.0, 36.0, 54.0, 76.0, 89.0, 89....  focus  \n",
       "13939  [66.0, 58.0, 51.0, 37.0, 22.0, 22.0, 27.0, 28....  focus  \n",
       "13951  [89.0, 85.0, 77.0, 66.0, 55.0, 59.0, 60.0, 50....  focus  \n",
       "13966  [-3.0, 19.0, 35.0, 36.0, 26.0, 36.0, 60.0, 85....  focus  \n",
       "13982  [86.0, 81.0, 76.0, 76.0, 82.0, 73.0, 64.0, 49....  focus  \n",
       "13998  [57.0, 29.0, 6.0, -6.0, -7.0, -7.0, -6.0, -2.0...  focus  \n",
       "14012  [23.0, 48.0, 64.0, 54.0, 36.0, 26.0, 26.0, 27....  focus  \n",
       "14027  [96.0, 76.0, 65.0, 64.0, 68.0, 56.0, 37.0, 23....  focus  \n",
       "14046  [61.0, 65.0, 59.0, 40.0, 29.0, 28.0, 18.0, 4.0...  focus  \n",
       "14060  [12.0, 16.0, 20.0, 22.0, 22.0, 20.0, 10.0, 9.0...  focus  \n",
       "14074  [2.0, 0.0, -2.0, -5.0, -19.0, -29.0, -25.0, -2...  focus  \n",
       "14092  [48.0, 48.0, 43.0, 35.0, 19.0, 10.0, 16.0, 19....  focus  \n",
       "14107  [1.0, 1.0, 1.0, 12.0, 27.0, 36.0, 33.0, 34.0, ...  focus  \n",
       "14120  [3.0, -2.0, -20.0, -22.0, -7.0, 2.0, -5.0, -4....  focus  \n",
       "14133  [123.0, 139.0, 147.0, 137.0, 128.0, 118.0, 113...  focus  \n",
       "14152  [24.0, 43.0, 54.0, 58.0, 69.0, 73.0, 75.0, 83....  focus  \n",
       "14167  [-2.0, 10.0, 24.0, 25.0, 16.0, 21.0, 36.0, 42....  focus  \n",
       "14180  [58.0, 61.0, 64.0, 56.0, 59.0, 69.0, 60.0, 44....  focus  \n",
       "14194  [75.0, 72.0, 72.0, 65.0, 36.0, 12.0, 17.0, 27....  focus  \n",
       "14212  [41.0, 66.0, 82.0, 76.0, 58.0, 48.0, 53.0, 64....  focus  \n",
       "14224  [35.0, 40.0, 52.0, 54.0, 40.0, 26.0, 23.0, 19....  focus  \n",
       "14239  [67.0, 73.0, 80.0, 72.0, 60.0, 53.0, 49.0, 50....  focus  "
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_one_subject"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[array([ 8.77729055,  7.53916731,  7.55516116,  7.23239068,  7.01675079,\n",
       "         7.37329741,  7.03001973,  7.04118134,  6.60948299,  6.54998945,\n",
       "         6.13324229,  6.86127811,  6.62450289,  6.14979144,  5.58525487,\n",
       "         6.53495161,  6.61413826,  6.61179276,  6.00491282,  6.20782837,\n",
       "         5.46890982,  6.21713411,  6.02017807,  5.84342326,  6.23202742,\n",
       "         5.62351302,  5.61358655,  5.58329695,  5.9686238 ,  5.26907726,\n",
       "         5.85388527,  5.33256733,  5.51341758,  5.40240597,  5.6823978 ,\n",
       "         5.24600035,  5.13282385,  5.29766656,  5.64184582,  5.44532181,\n",
       "         5.72985655,  5.43247882,  5.88447448,  4.77956831,  4.98151157,\n",
       "         4.8418777 ,  5.88474959,  5.56132346,  5.68649682,  5.1892886 ,\n",
       "         5.31020917,  5.53784948,  5.41569152,  5.59090476,  5.2850484 ,\n",
       "         5.44075421,  5.50147526,  5.65054295,  4.8943596 ,  5.171161  ,\n",
       "         5.41186046,  4.75274427,  5.15179548,  5.55582247,  5.3432178 ,\n",
       "         5.14322297,  5.25719721,  5.36058606,  4.58318515,  4.95497379,\n",
       "         4.94332403,  5.74845211,  4.99083149,  5.39810641,  4.99157644,\n",
       "         4.99184022,  5.19685047,  5.65680856,  5.14686916,  5.49771041,\n",
       "         5.52462685,  5.22893641,  4.99108963,  5.19827394,  5.28487552,\n",
       "         5.41119073,  5.47403061,  5.49447132,  4.93094651,  5.14856736,\n",
       "         5.33046409,  5.43225809,  5.17883581,  5.30525338,  5.39283439,\n",
       "         5.35624957,  5.32143305,  4.94893191,  4.9499499 ,  5.64184888]),\n",
       " array([ 8.7582172 ,  7.41295831,  8.0815321 ,  8.24669962,  8.16507676,\n",
       "         7.87736147,  7.59291977,  7.276786  ,  7.11219948,  7.26324018,\n",
       "         6.94159534,  6.55062712,  6.52972633,  6.20905265,  5.9049655 ,\n",
       "         5.89542253,  6.38330236,  6.51118021,  6.30947159,  5.79130268,\n",
       "         6.05023132,  6.1807213 ,  5.21513812,  5.94299883,  6.06225927,\n",
       "         6.14739525,  5.7736573 ,  4.8735165 ,  5.76083854,  5.77829795,\n",
       "         6.04162716,  5.81348035,  6.09363616,  6.02422452,  5.88583608,\n",
       "         5.61577155,  5.37091087,  4.8813334 ,  5.69918247,  5.42211604,\n",
       "         5.54896213,  5.14820072,  5.14196735,  5.66374848,  5.52765848,\n",
       "         5.90152675,  5.29794407,  5.20501136,  5.19151672,  5.47105142,\n",
       "         5.06673214,  5.49597491,  5.5046502 ,  4.98480342,  4.77734405,\n",
       "         5.63767367,  5.26725383,  5.08148609,  5.28381506,  5.14758395,\n",
       "         5.30334766,  4.56921849,  5.23686353,  5.26620377,  4.92083002,\n",
       "         5.04173119,  5.56026994,  5.42875831,  5.26566092,  4.99530816,\n",
       "         5.57719104,  5.20625956,  4.75355916,  4.8951608 ,  5.06508186,\n",
       "         4.93342994,  4.86418376,  5.28356216,  5.54571631,  5.04969189,\n",
       "         5.4760643 ,  4.85851892,  4.9292622 ,  4.76677661,  5.67251928,\n",
       "         5.57662006,  5.06862807,  5.42339787,  5.16380941,  5.59881585,\n",
       "         5.16376001,  5.22826182,  5.3538398 ,  5.04866211,  4.62270143,\n",
       "         5.0603447 ,  5.31775123,  4.75274821,  4.86483671,  5.04501608]),\n",
       " array([ 8.68564511,  7.60504865,  8.3015393 ,  8.39248325,  8.27989834,\n",
       "         8.03552052,  7.47173065,  7.31298801,  6.80888047,  5.70657997,\n",
       "         6.59990567,  6.61477767,  6.74644003,  6.42626172,  6.21939582,\n",
       "         6.91937598,  6.15776407,  6.4640387 ,  6.61795951,  6.13734324,\n",
       "         6.15747131,  6.00424296,  5.79758661,  6.17789192,  5.76347061,\n",
       "         5.89165403,  6.21301046,  5.83459806,  5.7787102 ,  6.30655636,\n",
       "         6.10532405,  6.1505389 ,  6.05889298,  5.69196106,  5.93050538,\n",
       "         5.68658197,  5.57665875,  6.28612693,  5.39842142,  5.70806109,\n",
       "         5.76356777,  6.09134523,  5.61587139,  5.99702575,  5.51725048,\n",
       "         5.67854371,  5.85274666,  5.63200066,  5.90712081,  5.44737937,\n",
       "         5.60763374,  5.7415506 ,  5.45207264,  5.75055026,  5.55299422,\n",
       "         4.99529065,  5.63031883,  5.54407325,  5.08566279,  4.28478794,\n",
       "         5.33851249,  5.31852007,  5.20921639,  5.22264455,  5.26146933,\n",
       "         5.20209761,  5.70968845,  5.59446474,  5.57693655,  5.56756773,\n",
       "         5.16538024,  5.50592145,  5.67644402,  5.21600223,  5.41508596,\n",
       "         5.51486957,  5.86104987,  5.39811948,  5.2317138 ,  5.87948504,\n",
       "         5.86521864,  5.4022604 ,  5.63633747,  5.53220516,  5.62282667,\n",
       "         5.44017909,  4.98787508,  5.27323019,  5.53260206,  5.31666066,\n",
       "         5.11920382,  5.48265016,  5.56616967,  5.78113175,  5.97750655,\n",
       "         5.62377872,  5.2238526 ,  5.7353179 ,  5.50697601,  5.78354354]),\n",
       " array([ 9.05141202,  8.94555855,  8.44892486,  8.96335314,  8.48564924,\n",
       "         8.38173988,  8.05132837,  8.28900287,  7.4140005 ,  7.63775872,\n",
       "         7.21779638,  7.25464563,  7.22043908,  6.82420014,  7.27359997,\n",
       "         6.48974046,  6.75450292,  6.99275193,  5.82202554,  6.75534176,\n",
       "         6.83539364,  6.70376365,  6.59098902,  6.19008745,  6.57225301,\n",
       "         6.84518889,  6.65671679,  6.82388175,  6.39673934,  6.61705566,\n",
       "         6.07395329,  6.36254871,  6.6789597 ,  6.18151646,  6.58036749,\n",
       "         6.55339094,  6.36333847,  6.05222545,  6.53472755,  6.34938573,\n",
       "         6.63609121,  6.44202136,  6.77325938,  6.56942426,  5.93995875,\n",
       "         6.19075933,  6.45166144,  6.64523806,  6.40211927,  5.90444693,\n",
       "         6.26515918,  5.3574458 ,  6.3468188 ,  6.03371714,  6.09661988,\n",
       "         5.92846321,  5.98582571,  5.77118997,  5.98432434,  5.92539878,\n",
       "         5.7677451 ,  5.68705944,  5.86843047,  5.77164181,  6.10086779,\n",
       "         6.0385531 ,  5.90578701,  5.97275754,  6.11726551,  6.60281146,\n",
       "         6.18816833,  5.73226979,  6.40620992,  6.32596672,  5.96376388,\n",
       "         6.06021863,  5.87489086,  6.29288833,  6.07914896,  6.00875233,\n",
       "         6.7051946 ,  6.72845555,  6.50995826,  6.43558452,  6.1954289 ,\n",
       "         5.9487365 ,  6.37514574,  6.21861986,  6.1909836 ,  6.28075305,\n",
       "         5.2664538 ,  6.06031168,  6.00797488,  5.68542399,  5.81493978,\n",
       "         5.3521881 ,  6.02493076,  5.97088128,  6.16196459,  6.2394677 ]),\n",
       " array([ 8.77648631,  8.00635886,  8.36378237,  8.54666687,  8.34040903,\n",
       "         8.26705374,  8.00606447,  7.83474781,  7.4386987 ,  7.26098245,\n",
       "         7.30765946,  6.91726779,  6.85144257,  6.81754139,  6.74591278,\n",
       "         6.53184259,  6.64655007,  6.79521257,  6.47032162,  6.6174725 ,\n",
       "         6.17790459,  6.54312161,  5.76455143,  6.07151116,  6.07451574,\n",
       "         5.80385593,  6.29105544,  6.16409293,  6.25696514,  6.11081978,\n",
       "         6.07014368,  6.14567067,  5.84494105,  5.90529283,  5.70010082,\n",
       "         5.77182658,  5.51175724,  5.92601737,  6.23931088,  6.02867051,\n",
       "         5.62138422,  5.802372  ,  5.34567472,  5.99790931,  5.80400196,\n",
       "         5.61898018,  5.76731042,  5.81622633,  5.76141066,  5.82190058,\n",
       "         5.84426485,  6.12057764,  5.52730898,  5.74851699,  6.09821896,\n",
       "         5.31980538,  5.38022399,  5.62238535,  5.48087109,  5.05549646,\n",
       "         4.94924181,  5.13390718,  5.26445056,  5.54872634,  5.1808778 ,\n",
       "         5.35603874,  5.11412779,  5.69682889,  5.6606373 ,  5.29467626,\n",
       "         5.25349871,  4.80685596,  5.82743093,  5.188895  ,  5.7977313 ,\n",
       "         5.8722262 ,  5.98811834,  5.68730847,  5.72973783,  5.77070721,\n",
       "         5.76100989,  5.86434533,  5.10443099,  5.79371894,  5.80632072,\n",
       "         5.66791697,  5.23031887,  5.761097  ,  5.63404758,  5.50780189,\n",
       "         5.35568859,  5.24141864,  5.25874145,  5.54973709,  5.76987101,\n",
       "         5.50291565,  5.49693579,  5.62306465,  5.62675566,  5.06635289]),\n",
       " array([ 8.6262415 ,  8.51651213,  8.21152357,  8.22332959,  8.26822868,\n",
       "         8.25187061,  8.00137722,  7.69722046,  7.37391322,  6.89631976,\n",
       "         6.94570251,  6.83530627,  6.96811538,  7.08019528,  6.73012909,\n",
       "         6.59671941,  6.49069482,  6.7106358 ,  6.23598438,  6.31259816,\n",
       "         6.51728642,  6.54634996,  6.36027077,  6.23209841,  6.21871668,\n",
       "         6.17209909,  5.82387995,  6.25597676,  6.00296661,  5.80876251,\n",
       "         6.23229651,  6.37799795,  5.91067282,  5.93220214,  6.19024152,\n",
       "         5.9948306 ,  5.60802126,  6.25140155,  5.79409559,  5.84543778,\n",
       "         6.06682863,  5.83096976,  5.97948975,  5.91686346,  5.74092137,\n",
       "         5.53172682,  5.68172192,  5.89570326,  5.32342484,  5.91050642,\n",
       "         5.45945831,  5.72270664,  6.0733748 ,  5.61944695,  5.52664345,\n",
       "         4.85499766,  5.85785759,  5.62599907,  5.00785451,  5.67251448,\n",
       "         5.14157406,  5.58144098,  5.47984873,  5.4135929 ,  5.44616971,\n",
       "         5.35585763,  5.16591999,  5.94077793,  5.44701177,  5.56641204,\n",
       "         5.22906632,  5.69346242,  5.34936926,  5.57588353,  5.30177442,\n",
       "         5.41725484,  5.63987244,  5.27558844,  5.63365691,  5.81906631,\n",
       "         5.77687556,  5.87427758,  5.37995487,  5.21786829,  5.73175949,\n",
       "         5.58318938,  5.63554251,  5.54013015,  5.67266969,  5.66804359,\n",
       "         5.38627398,  5.22728798,  5.48517788,  5.44385149,  5.52084266,\n",
       "         5.60452694,  5.34956171,  4.89939875,  5.53647939,  5.27444715]),\n",
       " array([ 8.84176007,  8.14783875,  8.54317022,  7.72356161,  8.26356409,\n",
       "         7.39168526,  7.41214984,  7.44410614,  7.00185636,  7.14348173,\n",
       "         6.74328611,  6.65440944,  6.72055747,  6.95654675,  6.38553148,\n",
       "         6.6207025 ,  6.38052729,  6.47098102,  6.57687106,  6.33425068,\n",
       "         5.99067581,  6.6597171 ,  5.62153943,  6.39312205,  5.95051156,\n",
       "         5.34127354,  6.06332085,  6.07036479,  6.17515767,  5.45550689,\n",
       "         6.04321772,  5.31691549,  5.53144644,  5.79706754,  5.75449413,\n",
       "         5.92328246,  5.71658622,  5.03516262,  5.6208281 ,  5.64351452,\n",
       "         5.64368998,  5.27323656,  5.99210855,  5.67007911,  5.56352293,\n",
       "         4.61954442,  5.48242598,  5.33766519,  5.81969531,  5.55741754,\n",
       "         5.64317818,  5.23438997,  5.75031426,  5.31916565,  5.15228888,\n",
       "         5.24059841,  5.49714504,  4.9114962 ,  5.23965836,  5.4867409 ,\n",
       "         4.57555637,  4.8695207 ,  4.41531974,  5.14367087,  4.84618199,\n",
       "         4.91822775,  4.82563182,  5.28773019,  5.61009554,  5.47148717,\n",
       "         5.21867168,  5.45763953,  5.36580709,  5.16219021,  5.50660878,\n",
       "         5.59372276,  5.53125833,  5.07924796,  5.52201469,  5.62625327,\n",
       "         5.5724571 ,  5.48414409,  5.20177056,  4.93960033,  5.23426943,\n",
       "         5.46792881,  5.17146134,  5.72701566,  5.55662742,  4.90033207,\n",
       "         5.87756781,  5.15369708,  5.31901192,  5.57963833,  5.17565792,\n",
       "         5.32094341,  5.29858482,  5.46547449,  4.92527515,  4.83963279]),\n",
       " array([ 8.8639485 ,  8.47043872,  8.33681165,  8.23859099,  7.93625261,\n",
       "         7.44019863,  7.19393941,  6.92017664,  6.79293201,  6.42693565,\n",
       "         6.50307325,  6.455406  ,  6.58236979,  6.68111376,  6.52455601,\n",
       "         6.47699691,  6.58536004,  5.90419407,  6.07824498,  6.63995248,\n",
       "         6.37918687,  6.13967865,  6.16675861,  6.39798436,  6.05889728,\n",
       "         6.05302416,  5.82953496,  5.69640101,  5.79069233,  5.7288319 ,\n",
       "         5.39465367,  5.71922623,  5.99424034,  5.23055893,  5.82670873,\n",
       "         5.93190541,  5.65567052,  5.43684344,  5.95559609,  5.76986564,\n",
       "         5.53181671,  5.76896668,  5.14539337,  5.47841686,  5.03587165,\n",
       "         5.86860899,  5.59408396,  5.4352125 ,  5.57216607,  5.27601512,\n",
       "         5.90406706,  5.75193803,  5.3529732 ,  5.51485601,  5.43508179,\n",
       "         4.75086194,  5.35208713,  5.28310145,  5.5396005 ,  4.87799402,\n",
       "         5.46492226,  5.7292197 ,  5.39059136,  5.29517907,  4.77669922,\n",
       "         5.3726515 ,  5.51470578,  5.43026983,  5.08192787,  5.43412349,\n",
       "         5.17206   ,  5.54795355,  5.39831219,  5.53090669,  5.27846189,\n",
       "         5.18311973,  5.48496664,  5.5250425 ,  5.32413477,  5.43637827,\n",
       "         5.66379904,  5.29451918,  5.28598578,  5.60533269,  5.63959237,\n",
       "         5.54733532,  4.87530876,  5.38866721,  5.56520469,  5.30006253,\n",
       "         5.17111505,  5.96156666,  5.1150509 ,  5.46442812,  5.50797788,\n",
       "         5.02975801,  5.43659676,  5.37738768,  4.99573617,  5.18281632]),\n",
       " array([ 8.79529801,  7.06491257,  6.63193728,  7.55151704,  7.17570578,\n",
       "         7.19930679,  6.53162363,  6.88424588,  6.81925426,  6.8964951 ,\n",
       "         6.56711843,  6.95341819,  6.3697946 ,  6.63098229,  6.64630459,\n",
       "         6.43811801,  6.71660118,  6.57222474,  6.49026198,  6.17459529,\n",
       "         5.74087341,  5.49898258,  5.49454112,  6.52606606,  6.13388001,\n",
       "         5.87922071,  5.51921287,  5.62633738,  5.72420223,  5.53038579,\n",
       "         5.74042735,  5.537947  ,  5.35793417,  5.69782853,  5.57587706,\n",
       "         5.62409472,  5.6440226 ,  5.43737459,  5.54748507,  5.41291603,\n",
       "         5.45786305,  5.53233018,  5.2681823 ,  5.44700077,  5.37306396,\n",
       "         5.39001208,  5.64075171,  5.15746967,  5.60509816,  5.40907882,\n",
       "         5.16086557,  5.39736789,  5.69903009,  5.47355679,  5.48885906,\n",
       "         5.2017077 ,  5.33709314,  5.49462112,  5.71622427,  4.64321071,\n",
       "         5.34993222,  5.32981738,  4.6209735 ,  5.09091389,  5.07464413,\n",
       "         5.52720744,  5.26449742,  5.09182856,  5.60088888,  5.46870054,\n",
       "         5.42913056,  5.37163468,  5.14447655,  5.16555851,  5.53969148,\n",
       "         5.45444783,  5.03391843,  5.55157717,  5.21029947,  5.14922541,\n",
       "         5.31344114,  4.72488579,  5.11873212,  5.26957608,  5.27765136,\n",
       "         5.54295481,  5.22621536,  5.00013657,  4.91013227,  4.98155534,\n",
       "         5.17852392,  5.24967004,  4.87978441,  5.12344098,  5.01615347,\n",
       "         5.15731538,  4.97000958,  5.26012782,  5.20166035,  4.3746689 ])]"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data = vectors(df_one_subject[df_one_subject.label=='relax'])\n",
    "data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[array([ 8.76608271,  6.69599274,  6.54991526,  6.54618049,  7.19442741,\n",
       "         6.78267125,  6.54205664,  6.5951935 ,  6.58337182,  6.40486206,\n",
       "         7.2322399 ,  7.12306477,  6.67227483,  5.78494164,  6.80088907,\n",
       "         6.65161882,  5.96271552,  6.73327785,  6.34245621,  6.13790564,\n",
       "         6.12782901,  6.36634545,  6.19294295,  6.39821999,  5.99844237,\n",
       "         5.61909601,  5.98321597,  5.88812339,  5.91791832,  5.77988968,\n",
       "         6.01255254,  6.05371442,  5.72779158,  5.73504236,  5.81643066,\n",
       "         5.44364226,  5.3274653 ,  5.53806083,  5.35485763,  5.85886929,\n",
       "         5.92853325,  5.48250739,  5.58057303,  5.56673197,  5.44213032,\n",
       "         5.72627219,  5.87721948,  5.3866918 ,  5.79798114,  5.15838678,\n",
       "         5.56081336,  5.53061396,  5.31727831,  5.74977726,  5.20628794,\n",
       "         4.97253073,  5.51429704,  5.4840289 ,  4.95955857,  5.09956305,\n",
       "         5.315997  ,  5.04251063,  4.82094407,  5.31705878,  5.42670883,\n",
       "         5.36630721,  5.3250837 ,  4.92255337,  5.07314977,  4.61457284,\n",
       "         5.23458107,  5.28738505,  5.39650583,  5.2559555 ,  5.21954074,\n",
       "         5.74823865,  5.17935811,  5.27421016,  5.11404647,  5.45833849,\n",
       "         5.1375945 ,  5.05281717,  5.30609272,  5.09741117,  5.21680673,\n",
       "         4.88356172,  5.28100485,  4.87913498,  5.46341084,  4.20833881,\n",
       "         5.42937992,  5.34596377,  4.61566853,  5.22610971,  4.75568045,\n",
       "         4.76598919,  4.73066742,  5.13400058,  5.04425759,  5.08976976]),\n",
       " array([ 8.76276351,  6.41151286,  6.37457205,  6.77001232,  6.47479346,\n",
       "         6.56848615,  6.63197684,  6.0581531 ,  6.201565  ,  6.78768576,\n",
       "         7.44231377,  6.8861695 ,  6.55909226,  6.35215746,  5.78609615,\n",
       "         6.69874832,  6.68893522,  6.62151602,  5.97027773,  5.77357362,\n",
       "         6.3013594 ,  6.4400708 ,  6.29155489,  5.8324084 ,  5.59362674,\n",
       "         5.71514   ,  6.10563126,  5.55197509,  6.12118679,  5.55267608,\n",
       "         5.61959743,  5.90314222,  4.8061975 ,  5.69128297,  5.52343788,\n",
       "         4.92568362,  5.71700305,  5.47406979,  5.35958245,  5.57265795,\n",
       "         5.1135989 ,  4.95296055,  5.71837573,  5.59004944,  5.51455055,\n",
       "         4.79438724,  5.06652417,  5.87915303,  5.33957345,  5.28095772,\n",
       "         5.09492994,  5.43105642,  4.81336682,  5.21868014,  5.2855173 ,\n",
       "         5.58024774,  5.46155278,  5.26057529,  4.47692948,  5.76014681,\n",
       "         5.18465531,  5.14755302,  5.25429603,  5.12948451,  4.99264939,\n",
       "         5.27759892,  5.39761611,  5.1841766 ,  4.7513902 ,  5.05181952,\n",
       "         4.7404445 ,  5.22267204,  4.94877395,  5.13621788,  5.02462284,\n",
       "         4.64356911,  5.02451249,  5.44167597,  5.59351601,  4.95570594,\n",
       "         4.81003627,  5.13106732,  4.81265875,  5.22101296,  4.7053511 ,\n",
       "         4.93546435,  5.04484895,  5.13190097,  5.14630676,  5.37452978,\n",
       "         4.89333896,  5.05280553,  5.06332567,  5.2455391 ,  4.82958438,\n",
       "         4.52671782,  4.71709589,  5.1379888 ,  4.91246803,  4.67460495]),\n",
       " array([ 8.74618073,  6.57533921,  6.68978806,  6.7736048 ,  7.02803725,\n",
       "         6.73483871,  7.12716666,  6.58172895,  7.29465708,  6.88250692,\n",
       "         7.85660791,  7.44460233,  7.01829645,  7.09796991,  6.78527361,\n",
       "         6.93739852,  6.58456376,  6.62969759,  5.90612908,  6.26773471,\n",
       "         6.4925076 ,  6.07122375,  6.04263654,  6.27808327,  6.00168997,\n",
       "         5.67280487,  6.12543431,  5.29627225,  5.78574235,  5.78366068,\n",
       "         5.80583151,  5.96165102,  5.88543748,  5.87778653,  4.9194273 ,\n",
       "         5.63277795,  5.52397518,  4.74966245,  5.58112116,  5.15502953,\n",
       "         5.54194376,  5.83831709,  5.31513599,  5.54824663,  5.65156028,\n",
       "         4.98094289,  5.4121022 ,  5.29988108,  5.50799741,  5.3100113 ,\n",
       "         5.2646275 ,  4.86894924,  5.39611705,  5.09725974,  4.92431149,\n",
       "         5.70893733,  5.46365759,  5.14226639,  5.27223473,  5.49010019,\n",
       "         5.51070104,  5.32848406,  5.44885062,  5.16538765,  4.63842155,\n",
       "         5.28487435,  4.91134271,  4.87904233,  5.40876348,  5.34279559,\n",
       "         5.15212079,  4.84885944,  4.80234971,  5.11363229,  4.96738254,\n",
       "         5.31664114,  4.64852498,  4.66151569,  4.91977975,  5.11028357,\n",
       "         5.13411501,  4.92721385,  5.38008881,  4.77737328,  4.93603647,\n",
       "         5.11632102,  5.08397337,  5.20909534,  4.76228719,  4.92616189,\n",
       "         5.52607016,  4.97880964,  5.13339614,  4.03966808,  5.09521363,\n",
       "         5.12783029,  4.58864215,  4.56992133,  5.06950122,  5.05517614]),\n",
       " array([ 8.75474896,  6.37069175,  7.04053056,  6.80115999,  6.83574928,\n",
       "         6.13900755,  6.96545519,  7.00818223,  6.93637364,  7.11898512,\n",
       "         7.8642536 ,  6.60710155,  6.92780163,  6.44919914,  6.75113319,\n",
       "         7.01847842,  6.30637817,  6.66109896,  6.7959449 ,  6.85145332,\n",
       "         6.50660338,  6.52619329,  6.53122466,  5.49485428,  6.10804447,\n",
       "         5.81188359,  6.19026552,  5.9575791 ,  6.18661995,  5.65850532,\n",
       "         5.74665023,  5.68778347,  5.51678114,  5.90873845,  5.31131654,\n",
       "         5.93088309,  5.58674459,  5.52038497,  5.26803745,  5.80880887,\n",
       "         5.55015881,  5.59019281,  5.94231787,  5.37725491,  5.47207077,\n",
       "         5.39605577,  4.80122281,  5.65713986,  5.44980934,  5.24415336,\n",
       "         5.34409979,  5.48707331,  5.51139192,  5.24552878,  5.2522822 ,\n",
       "         5.21212734,  5.57939081,  5.22580504,  5.39918249,  4.94005939,\n",
       "         5.23256711,  5.31910649,  5.13463748,  5.21223202,  5.44004158,\n",
       "         5.36864321,  4.7648804 ,  5.13273461,  5.23642828,  5.08866629,\n",
       "         5.20784433,  5.48019773,  5.39063563,  4.48751817,  5.35914335,\n",
       "         5.460994  ,  4.92681532,  5.27811085,  5.52168515,  5.59843428,\n",
       "         5.01129908,  5.15548589,  4.77205487,  5.05348884,  4.7045386 ,\n",
       "         5.42405053,  5.17588835,  5.07982313,  4.81708823,  5.16806026,\n",
       "         5.57891438,  5.22294779,  4.90921835,  5.04811906,  4.93760889,\n",
       "         4.8964315 ,  4.92715555,  4.63643433,  4.98842018,  5.11151053]),\n",
       " array([ 8.76269988,  6.41819033,  6.63563527,  6.70769642,  7.06850407,\n",
       "         6.06180467,  6.83028713,  6.87264837,  6.63141283,  7.41807556,\n",
       "         7.64819182,  7.7518224 ,  6.55001658,  6.60123159,  7.02853616,\n",
       "         6.96218084,  6.81285124,  6.48910528,  6.61785434,  5.87452658,\n",
       "         6.4667716 ,  6.28612485,  6.37629402,  6.00383676,  6.17845189,\n",
       "         5.88890738,  5.8439997 ,  6.25334665,  5.9404739 ,  5.6754163 ,\n",
       "         5.92076309,  5.78401949,  5.53766864,  6.00672448,  5.49871724,\n",
       "         5.93777915,  5.68213313,  4.98040312,  5.66020546,  5.55645156,\n",
       "         5.7431456 ,  5.36220667,  5.71681621,  5.12392301,  5.53811093,\n",
       "         5.5125446 ,  5.37463576,  5.66907548,  5.04645724,  5.36728859,\n",
       "         5.63822958,  5.51645823,  5.68347517,  5.29661927,  5.27627955,\n",
       "         5.30643814,  5.31363837,  5.29374165,  5.16183989,  5.14458525,\n",
       "         4.52534147,  5.36410238,  5.2773369 ,  5.05498054,  4.67258523,\n",
       "         5.35298388,  5.05819295,  5.15824448,  4.99989946,  5.38246569,\n",
       "         5.30631608,  5.27669887,  4.94266959,  5.04003708,  5.2219746 ,\n",
       "         4.8407306 ,  5.1977825 ,  3.86129818,  5.26534921,  5.21972408,\n",
       "         5.23264908,  4.80355136,  4.7218031 ,  5.24527817,  5.13115355,\n",
       "         4.85787933,  5.47608107,  4.58378796,  5.03509148,  5.06071891,\n",
       "         5.13757465,  5.19935179,  5.2958719 ,  4.68692323,  4.93748713,\n",
       "         5.15367344,  4.90606984,  5.06906895,  5.08527029,  5.22618967]),\n",
       " array([ 8.77506728,  6.56957015,  6.53074988,  7.00995775,  6.18722445,\n",
       "         6.33057212,  7.05952903,  6.30532999,  6.71434724,  7.32164433,\n",
       "         7.49518379,  7.46248877,  6.90915416,  6.86067546,  6.68035548,\n",
       "         6.73664812,  7.06623623,  6.27504579,  6.73201846,  6.51082662,\n",
       "         6.17308037,  6.40682705,  6.18885919,  5.9822802 ,  6.43139892,\n",
       "         6.0160854 ,  5.44718783,  5.32332359,  5.90468909,  5.89055546,\n",
       "         5.45739769,  5.43964564,  5.43977363,  5.48580744,  5.73097013,\n",
       "         5.73165052,  5.5886293 ,  5.86056902,  5.13604598,  4.4566457 ,\n",
       "         5.79992427,  5.20692129,  5.72577739,  5.30226752,  5.64741536,\n",
       "         5.70827181,  4.21989525,  5.36187591,  5.66393796,  5.35400048,\n",
       "         5.67715601,  5.58171308,  5.18387446,  4.86685425,  5.75769643,\n",
       "         5.51700252,  5.37834497,  5.26022895,  5.51076015,  4.92906236,\n",
       "         5.49015889,  5.19956248,  5.26598399,  5.03274452,  5.26794553,\n",
       "         4.92192095,  5.36600158,  5.02376381,  5.37884127,  5.0576217 ,\n",
       "         4.39579085,  5.20372809,  4.60293021,  5.55635626,  5.07963022,\n",
       "         4.95119674,  4.84575349,  5.52725328,  5.11311934,  5.4527648 ,\n",
       "         5.00375829,  4.93271247,  5.00017581,  5.02268766,  4.77609698,\n",
       "         5.02558581,  4.81564537,  4.99870463,  5.08489579,  4.94557269,\n",
       "         4.63101847,  5.02885385,  4.76049613,  4.69335961,  5.0208357 ,\n",
       "         4.87271818,  4.27481932,  4.95638323,  4.85780282,  4.44319464]),\n",
       " array([ 8.74325977,  6.38225817,  6.65577873,  6.62764982,  6.30911208,\n",
       "         6.60292335,  6.64562686,  6.53652674,  6.36637729,  7.20516829,\n",
       "         7.41279083,  6.76709708,  6.55568718,  6.38854185,  6.79071543,\n",
       "         6.27496737,  6.86949588,  6.39055474,  6.30563637,  6.44396712,\n",
       "         6.14622917,  6.11349165,  5.99517803,  5.38833768,  5.42950808,\n",
       "         5.93125154,  5.74625117,  5.42970118,  5.84759953,  5.43815649,\n",
       "         5.79400013,  5.60417701,  5.35907767,  5.89765845,  5.57664234,\n",
       "         5.19563667,  5.73965683,  4.89176597,  5.50147965,  5.39237647,\n",
       "         5.09803707,  5.24778193,  5.47361502,  5.16541556,  5.53163292,\n",
       "         5.24508433,  5.4671989 ,  5.21953878,  5.40066903,  5.37646548,\n",
       "         5.57002829,  5.44835877,  4.88778096,  5.33432039,  4.99916843,\n",
       "         4.47704337,  5.09294965,  5.41521868,  5.01580173,  4.77951348,\n",
       "         4.73653327,  4.70049846,  5.25319587,  5.39541791,  5.29334584,\n",
       "         4.92603859,  5.20195267,  4.63681071,  5.0461266 ,  5.35785417,\n",
       "         5.01823263,  5.10906547,  5.58967156,  5.4357359 ,  5.116324  ,\n",
       "         5.03413779,  5.25253902,  5.02089389,  5.46639537,  5.20028715,\n",
       "         4.8635923 ,  5.18094943,  5.24216123,  4.62484191,  4.23284273,\n",
       "         4.97513258,  5.35879934,  4.69364248,  5.00189318,  4.71466987,\n",
       "         4.96252472,  5.01834507,  4.78117942,  4.82160338,  5.23240004,\n",
       "         4.90744463,  4.81107822,  4.79760039,  4.91004451,  4.51460989]),\n",
       " array([ 8.75591496,  5.68482416,  6.44468105,  6.58048896,  6.26562197,\n",
       "         6.60988691,  6.86855774,  6.81367573,  7.12997439,  6.94836025,\n",
       "         7.58445113,  7.58756177,  7.15108699,  7.10653992,  6.77385493,\n",
       "         6.7987589 ,  6.52650029,  6.19986638,  6.20393127,  6.73001562,\n",
       "         6.13799207,  6.50213213,  6.22177926,  6.40474713,  6.34467686,\n",
       "         6.39361466,  5.87272479,  5.92100072,  5.63346141,  5.73544355,\n",
       "         6.01719393,  5.44866615,  5.58134473,  5.27278996,  5.36542045,\n",
       "         5.54274277,  5.07978885,  5.88707203,  5.46560194,  5.86555496,\n",
       "         5.80963083,  5.55120229,  5.42011861,  5.5521898 ,  5.33776113,\n",
       "         5.36036428,  5.9343602 ,  5.55026378,  5.57186853,  5.49778058,\n",
       "         5.4588266 ,  5.3841046 ,  4.79921173,  5.30786994,  5.00701812,\n",
       "         4.88686652,  5.32984512,  4.85703639,  4.96508281,  4.93581729,\n",
       "         5.153719  ,  5.10404214,  5.17667414,  4.1346597 ,  5.0904641 ,\n",
       "         5.08548409,  5.25713554,  5.26653964,  5.5954977 ,  4.53925698,\n",
       "         5.12259759,  5.30277772,  5.62904638,  5.26796815,  5.51079823,\n",
       "         5.31784371,  5.61902265,  5.18316632,  5.09514201,  5.08308181,\n",
       "         5.41118521,  5.17781639,  5.21859303,  5.40212128,  5.1918933 ,\n",
       "         5.00333228,  5.07468778,  5.36547082,  5.02046698,  4.91504166,\n",
       "         5.08522929,  4.95450093,  4.90559073,  4.66887472,  4.52987586,\n",
       "         5.30643651,  4.67920048,  4.99643795,  4.26879157,  4.75820288]),\n",
       " array([ 8.78674115,  7.70781788,  7.54131002,  6.7554134 ,  6.89580617,\n",
       "         7.10199932,  6.44973087,  6.31056496,  6.47256083,  7.35803019,\n",
       "         6.91488953,  7.00590596,  7.30208265,  6.3823095 ,  6.4626195 ,\n",
       "         6.04891251,  6.26317442,  6.24937128,  6.40193069,  6.27767554,\n",
       "         5.86800967,  6.1616843 ,  6.19188059,  5.9920363 ,  5.51394762,\n",
       "         5.81211859,  5.91306728,  5.80263949,  6.09488828,  5.45541224,\n",
       "         5.77717071,  6.0895968 ,  5.72692615,  5.57966391,  6.05732253,\n",
       "         5.75575102,  5.53489331,  5.30160154,  5.95440568,  5.5363637 ,\n",
       "         5.36361467,  5.84474495,  5.54931086,  5.50569728,  5.82627948,\n",
       "         5.68373304,  5.50509802,  5.83664125,  5.31204364,  5.80183221,\n",
       "         5.6849423 ,  5.73321499,  5.60036794,  5.39248557,  5.05395251,\n",
       "         5.03092153,  5.47813595,  4.77765083,  5.1011052 ,  5.4218709 ,\n",
       "         5.06681292,  4.70341897,  5.54731981,  5.3996193 ,  4.50266686,\n",
       "         5.23340889,  5.03415429,  5.19981653,  5.23285506,  4.98924867,\n",
       "         5.19344637,  5.08733599,  5.17590166,  5.48171562,  5.15384121,\n",
       "         5.22651062,  5.09924108,  5.58509287,  5.15560203,  5.39291255,\n",
       "         4.97564911,  5.01738545,  5.48841463,  5.52939649,  5.03065449,\n",
       "         5.28593349,  4.57823462,  4.78396919,  5.272547  ,  5.51727343,\n",
       "         4.27852523,  5.20749801,  5.19827478,  4.91189984,  5.17814801,\n",
       "         4.5451393 ,  4.88475112,  5.1236551 ,  4.59673595,  5.00523073])]"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data2 = vectors(df_one_subject[df_one_subject.label=='focus'])\n",
    "data2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def vectors_labels (list1, list2):\n",
    "    def label (l):\n",
    "        return lambda x: l\n",
    "    X = list1 + list2\n",
    "    y = list(map(label(0), list1)) + list(map(label(1), list2))\n",
    "    return X, y"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "X,y =vectors_labels(data,data2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1]"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "X_train, X_test, y_train, y_test = train_test_split(X,y,test_size=0.1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.9285714285714286"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.mean(cross_val_svm(X_train,y_train,7))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Wow. Excellent score. Not bad for only one real input"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.8571428571428571"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn import preprocessing\n",
    "X_train = preprocessing.scale(X_train)\n",
    "cross_val_svm(X_train,y_train,7).mean()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.46462626262626261"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data = vectors(df_clean[df_clean.label=='focus'])\n",
    "\n",
    "data2 = vectors(df_clean[df_clean.label=='focus'])\n",
    "\n",
    "X,y = vectors_labels(data,data2)\n",
    "\n",
    "X_train, X_test, y_train, y_test = train_test_split(X,y,test_size=0.2)\n",
    "np.mean(cross_val_svm(X_train,y_train,5))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### As expected though, we don't do well when combining all our test subjects. We're going to need to train the app on individuals."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "X_train = preprocessing.scale(X_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.25541414141414143"
      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cross_val_svm(X_train,y_train,5).mean()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### LOL\n",
    "that settles it then..."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.1891489747777173"
      ]
     },
     "execution_count": 47,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.ensemble import RandomForestClassifier\n",
    "\n",
    "rf= RandomForestClassifier(n_estimators = 200,max_depth = 10)\n",
    "data = vectors(df_clean[df_clean.label=='focus'])\n",
    "\n",
    "data2 = vectors(df_clean[df_clean.label=='focus'])\n",
    "\n",
    "X,y = vectors_labels(data,data2)\n",
    "\n",
    "X_train, X_test, y_train, y_test = train_test_split(X,y,test_size=0.2)\n",
    "np.mean(cross_val_score(rf,X_train,y_train))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### def cross_val_svm (X,y,n,kern='rbf'):\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def subject_scores (subject,kern):\n",
    "    f = focused[focused['id']==subject]\n",
    "    r = relaxed[relaxed['id']==subject]\n",
    "    X,y = vectors_labels(vectors(f),vectors(r))\n",
    "    X=preprocessing.scale(X)\n",
    "    return cross_val_svm(X,y,7,kern).mean()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Subject  1  score is: 1.0\n",
      "Subject  2  score is: 0.892857142857\n",
      "Subject  3  score is: 1.0\n",
      "Subject  4  score is: 0.928571428571\n",
      "Subject  5  score is: 0.928571428571\n",
      "Subject  6  score is: 0.535714285714\n",
      "Subject  7  score is: 0.738095238095\n",
      "Subject  8  score is: 0.607142857143\n",
      "Subject  9  score is: 0.607142857143\n",
      "Subject  10  score is: 0.571428571429\n",
      "Subject  11  score is: 0.821428571429\n",
      "Subject  12  score is: 0.857142857143\n",
      "Subject  13  score is: 0.964285714286\n",
      "Subject  14  score is: 0.892857142857\n",
      "Subject  15  score is: 0.607142857143\n",
      "Subject  16  score is: 0.964285714286\n",
      "Subject  17  score is: 0.666666666667\n",
      "Subject  18  score is: 0.642857142857\n",
      "Subject  19  score is: 0.964285714286\n",
      "Subject  20  score is: 0.571428571429\n",
      "Subject  21  score is: 0.857142857143\n",
      "Subject  22  score is: 0.392857142857\n",
      "Subject  23  score is: 0.464285714286\n",
      "Subject  24  score is: 0.964285714286\n",
      "Subject  25  score is: 0.642857142857\n",
      "Subject  26  score is: 0.714285714286\n",
      "Subject  27  score is: 0.857142857143\n",
      "Subject  28  score is: 0.607142857143\n",
      "Subject  29  score is: 0.869047619048\n",
      "Subject  30  score is: 0.630952380952\n"
     ]
    }
   ],
   "source": [
    "for s in range(1,31):\n",
    "    print(\"Subject \",s, \" score is:\", subject_scores(s,'linear'))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Average score is:  0.75873015873\n",
      "Standard deviation is:  0.174231205516\n"
     ]
    },
    {
     "data": {
      "image/png": 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nPAAIelrjDFnLy10i/XRmDcxVHz4TQdBjx67CII1yRns9mF5OIKdh83N6Ob4p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\nrkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1339f6dd8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "scores = []\n",
    "for s in range(1,31):\n",
    "    scores.append(subject_scores(s,'linear'))\n",
    "    \n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "plt.plot(scores)\n",
    "print(\"Average score is: \", np.mean(scores))\n",
    "print(\"Standard deviation is: \", np.std(scores))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Average score is:  0.781746031746\n",
      "Standard deviation is:  0.158839248228\n"
     ]
    },
    {
     "data": {
      "image/png": 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P34VoMl1zi73BQJLHjEbinkxnML8ay22m5nN4lxcTwUhdM0VLcfRCEDeOdm9K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\nTBvy/wP36aTDzLneAwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x133c674a8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "scores = []\n",
    "for s in range(1,31):\n",
    "    scores.append(subject_scores(s,'rbf'))\n",
    "    \n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "plt.plot(scores)\n",
    "print(\"Average score is: \", np.mean(scores))\n",
    "print(\"Standard deviation is: \", np.std(scores))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Average score is:  0.589682539683\n",
      "Standard deviation is:  0.133797849196\n"
     ]
    },
    {
     "data": {
      "image/png": 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zUTuQLc7dvbMPzxy6hFhCv4XV/FzcGu7I2t02XUbu4ViyprSMHLXX7N79lhF3\nIJt3PzU5h1S6tL3mvjPTsJgIe9Y31uK3FL0+BxKpjOYGV8fGIjDRUjprY7dHk41MMyrtTgWWWtT0\nmK+tlZFgDGvar2zXffCmNZiPp/D8kXGNVlUZeQ1q2b8QcFt1GbmHF5I1eSD5nFZkBDDX5IaFFhN3\nLxKpDM5Ol04v7Buexg1rAnA3aJxeJZY2Mmnb654tprbBmetBHuz24Px0FMkyH4yNIKSiuDusZjis\nppYxD8tkBEZDC1izbC/G7rUBDHZ7dN3zLovatUXudgR1dveVyYjsoI4q2yCBJQuCZhdVFYk7Ed1J\nRKeIaJiIvljimA8Q0WEiOk5EP1d3mcqoZEMQjiUwNBbRLCUDAL2+7OBfLfPuQggMjc1eYZg22OVB\nKiNwYUa5P0+9a3hnJITzMzFViqkSv7MxG5keeXkYL5+6rPrrluPyXHag+uplkbssrB4aCdfkhtoM\narEekLS7rPnpXHphLp5CRlS3gUni1yhdWFHcicgM4BEAdwHYBuBBItq27Bg/gK8C+DdCiO0AfrkB\na63Ixi4PrGbCuyX+4N84MwMhgNs2dTR5ZUv0erW3IJicjWN6Po6dA978YxtzHTNnGpyaWUym8dSB\nUdz7N6/h/q++jsVkGh/d3qva6/tdVtVTXovJNP7yJ+/hf7x4StXXrURhp8xy7r9+ADaLCU/qtC0y\nL+5VWA9I2t123bWzhvPWA7VH7s0uqirJTewBMCyEOAsARPQkgPsAvFtwzKcAfF8IMQIAQojmhjg5\nbBYTBrvbShZVXxuehsduwa5V/iavbImuNjvMJsKkhhuZhnJtdDtXLUXuG7vcALI2BB/drv7vHJmJ\n4TtvXcBTB0cRjiWxuceDP/ulHfj49QPwqJgiy3YmqJuWOTE+i3RG4PilWZybjmJ9p1vV1y9FOXEP\nuG342I5efP/QGL5419Z8ek0vBGN1RO5uK+bjKcRTadgt+jivJdOw2rplgOa36Cp5Vw0AGC34/iKA\nm5YdsxmAlYj+FUAbgP8thPiWKiuskm19Xrxyeqroc/uGp3Hzhva6xrnVi9lE6G6zaxq5D+WLqUvi\n3uawotfrwBkVO2YyGYGfvzeFb71xHv/63hRMRPjo9h786s3rcPOG9oZYPwRcNpxWueunsKf8+SOX\n8Nt3bFL19UsxEoyBCBjwO4s+/+CeNXjm8CX8aGgc//Z9q5qyJqWE6ti/IH8mFE2i16cPca/FNEyi\n58hd6esVps/GAAAgAElEQVS8D8AdAJwA3iCiN4UQ7xUeREQPAXgIANasWaPSr76SrX1tePqdi5ie\nj6OzYHTbaDCG8zMxfObWdQ35vdWg9S7VY2MRDHZ7ror2BlXqmEmlM/j7fefx7TcvYCQYQ1ebHb99\n+yZ8as+a/KDwRuF3qT+wY2gsgoDLisFuD5472jxxHw3G0O9zltzuvmd9OzZ0ufHE/hHdiXswmkBb\njXNxC83DGv33opRI3jSs9rSM7nLuAMYArC74flXusUIuAnhRCBEVQkwDeAXAtctfSAjxmBBitxBi\nd1dXV61rLkupnaqvn2m+xW8p+nwOTbtlhnI7U5cz2O3BmcvzdffgP3XwIv78hRPo8drxfx68Hvv+\n8Hb83oc3N+WNKkftqbmPQBaf79nVj/cm5/HeZHN28mZ73ItH7UC2sPqpPWvw9oUQTk00f3dxOeoZ\nwBLQob9MKG8aVn3k7rCaYbeYdNktcwDAJiJaT0Q2AA8AeHbZMT8EcBsRWYjIhWza5oS6S1VGqY6Z\n14Zn0N1mz2+115IeDXepTs4uYmoujp1FxH1jlxvRRBoTddYDDpwPoqvNjqd+8xbce21/1UZL9eB3\nWpHKCERVcoZcTKZxenIOOwd8uGtnL0yUTc00g2I97su5/4ZVsJlNuvObqUfc5c8FddTSKu0DfDWI\nO9CYO8pKVHzXCSFSAL4A4EVkBfspIcRxInqYiB7OHXMCwI8BHAWwH8DfCSGONW7ZpQm4bej1Oq4o\nqmYyAq8PT+O2wc6mWvyWos/nQDSRxpwGAwnkztSi4i49ZurMWR8eDeP61X5N/q1l1KfWJpiTE3NI\nZQR2DvjQ3ebAzRs68NzR8YbvMF5IpDE1F68o7u1uG+7c0Yvvv3MRi0n9WB0Ho4maiqnAkrjraSNT\nOJZEm8MCS431Op+z+RYEilYqhHhBCLFZCLFRCPHnucceFUI8WnDMfxdCbBNC7BBC/FWjFqyErX1t\nV0TuJyfmMBNNaNrfXoiWve75Ymq/96rnBlUQ91A0gXPTUVy3RpuOpPxYM5XeSLKzSKax7r22H+em\nozh+qbH95dLqd3mPezEe3LMGs4spvDCknx2roVjtkbvfZQORvszDwrFEXQNlsuZhzT2fltqhKtna\n58Xw5XnEU9lIZl/O4lcv4q7luL1jYxFs7PLAZbu6lt7lscPrsNTV6354NAwAuH51oObXqId85K7S\nLf2xixH4XVasCmQ/kO/c3guLifDc0camZgqtfitx84Z2rO906yY1I4Soy1bCbCL4nfqyIAjV6Agp\n8TmbP7CjZcU9lRH5CPS14WkMdnt0U3nv9Wo3kWloLFI0JQNkC3SD3Z66IvdDo2GYCNi1qvjvaDSy\nD1mt/Kb895IppoDbhr2DnfhRg1Mz5Xrcl5PdsboaB86HcLpJxd5yxHJzcevZeRxw23RVUA3X6OUu\n8TmtiDS5htCy4g4AJ8bnEE+lsf9cUBddMpIejXapXp5dxOW5eNFOGcnGLg+G67D+PTQSwuaeNs28\ne/Ke7iq8kRaTabw3OXfVv9e91/bjYmghf5fSCEaCMbhtZsXR7yduWAWrmfDkgdHKBzcYNQawtLt0\nJu41moZJtLD9bUlxX9/phsNqwonxWRwaCWMhmdZNSgbI7qTt9Njq7kqplmI7U5cz2O3B9Hxc0bjC\n5WQyAkdGw7h+jTYpGWBp1J4aFgSnCoqphXxkew9sZhOea6Ar4+gyq99KdHjs+Oj2Xjytg8JqPb4y\nkna3TVfunqFooqY2SInPaUU0kW6qMZ824VWDMZsI1/Rki6oumxlmE+GmDdpY/JYiu5Gpub3uQ2MR\nUIHNbzEKpzK9b211/2Znp6OYXUzh+tXa2TvYLCa4bWZV0jLHLhXvLPI6rPjFzV14YWgcX757K0wm\n9buCRoKxqm0OPrVnDZ4/Oo7//5+OoF9BCrLH68DnbluveleTbGGsJy3T7rbhUAPvjKohnRGYXUzV\nlZbxFxT6CzdXNpKWFHcgm5p58fgEYok0rl3lg9dR+6duI+j1OnEx1BwHRsmxsQg2dLrLpkykuJ+5\nHK1a3A+NhAAA12vUKSPp9ztVMUA7NhaBz7lUTC3k3mv78NMTkzh4IaT6bAAhBEaCMbx/c3Ub/W7e\n0IEb1wXw8snK1k6pjEAilcEdW3tU98oJztfu5S5pd9sQimY3o2ndvry0O7W+yB3I1oJY3Otka58X\nTx4YRSgWxv93+6DWy7mKPp8DBy8Em/o7h8YiuGVDeUfMVQEXbBZTTTYEh0fDaLNbsLFL241it27s\nwFMHLyKRytS1gWp5MbWQD23tgcNqwnNHLqku7lNzccRTmat83CthMhH+6eFbFR17/FIEd//1axga\ni6gu7iGVIvdURmAuntI8MJP1m3pbIYHm+su0ZM4dWCqqAvppgSyk1+dAOJZsWn708twiJmfLF1OB\nbEprQ6e7po6ZQyNhXLva35A0RTXsHezEQjKdv5OohXgqjVMTVxdTJW67BXds6cE/HxsvO/mrFmSn\njJIe91rZ3NMGm8XUkEHbM9EELCaC11F77Ji3IJjXPu8u6zc+FSJ3tR1Ly9Gy4r6lrw0A4LSaNS3w\nlaLZ7ZDyTVyqDbKQjTW0Q8YSKZyanNM8JQMAN2/sgImW9jfUwnsT80imry6mFnLPrj5Mzyfw5ll1\n78DkBiYlbZC1YjWbsLW3Lb9jWU1C0QQC7vrm4kofeD1YEEhBridyl/l6jtxVwOuwYn2nG7ds7Giq\nt4lSmr2RaejiLIiA7QrEfbDLg9FQrKq7iqGLEaQzAtdpWEyVeB1WXLvaj9fqEPchBR+GH9zSDbfN\njOdV3tA0MrNQ1upXLXYM+HDsUkT1fv16rAck7XqK3HODQ+rtlgFQUxdarehP9VTk8V+7EV+5f6fW\nyyiK3FA1MducjhmZW1UyGGOw2wMhgHNlZtEuR3Y26EHcAWDvxk4cuRjBbI3+PUO5Ymo5V0aH1YwP\nb+vBj49PIJFSLzUzEoyh1+uAw9pYL/OdAz7MLaZUH61Yj2mYRE/mYdI0rJ7IXaaowhy5q8P6Tje6\nvfrYlbqc3iZH7scvld6ZupxaPGYOj4SxtsOFjiZ1AlRi72An0hmBt2pMmRwbi2DHgLdiauGeXf0I\nx5J1pYCWI3vcG42sJwypnHcP1uErI9GTeVg4loCJgLY6aggWswltdgunZVYCLpsFXoelKTn36fk4\nxiOLisV9facbRNWJ+6HRkG6idgC4Ya0fDqupJtFNpDJli6mF/MLmTrQ5LKp6zSix+lWDzT1tsJnV\nL6qqEbm7bGbYLCZd7FINx5LwOa11Nwr4XFZOy6wU+nzOpoj7cmfDSjisZqwOuBS3Q45HFjA5G9d0\n89Jy7BYz9qzvqCnv/t7kHBLpjKIPQ7vFjDu39+InxydV6XxaTGb99Jsh7jaLCVv62lSN3FPpDCIL\nybraIIGsX06HTvxlQnX6ykiabfvL4q4hvT5HUywIjuU6IrYXsfkthZzKpIRDI7l8u866km4b7MDw\n5fmqP0CVFFMLuefafszFU/j5e8Vn91bDxVC2BtMMcQdyRdUx9YqqkYUkhADa62gblAR04i8TWajP\nEVLid1k5575SyI7ba07kvqHTjbYqNoMMdntwdjqKdKbym/7QSAg2i6msrYEWyP0N1aZmhsYi8Dos\nigX21o0daHfb8PzR+r1mRpvQ417IzgEfZhdT+d76esn7yqhQe+nw2HRRUA3V6eUu4ch9BdHrc2B6\nPq5qp0UxjpWYmVqOjV1uJFIZRRYJh0fD2NHv1V3L6dZeL9rdNuw7U524y38vpX3aVrMJd+7oxU/f\nnUQsUZ9ndzVWv2qwU+WiqhqmYZKAy6aLgmoomqyrDVLic9qaOmpPX+/GFUav1wEhsrtHG8XMfByX\nqiimSpR2zCTTGRy9GMF1Gg3nKIfJRLh1Ywf2DU8rTjskUhmcHFdWTC3knl19WEim8ZICX5dyjARj\ncFrN6PTUL45KkEVVtcU94K5fDNvdNl1MY8qmZdSJ3GcXkg0f0ShhcdcQ2Q452cC8e7XFVMlgV3aH\nbyUDrlMTc4inMrrYmVqM2wY7MTkbV2wkJoup1f573bS+A11tdjxfpw2w7JRpllmWzWLCNb1tqnXM\nyDRKh7v+tEy724a5xVRTbXKXk0hlMB9PqZZzT6QzWGiS5QiLu4b05WapNjLvLt+02weqy4f7XFZ0\neuwVI3fp36KnNshCZN79tdPKUjPV2DQUYjYR7t7Zh5dOXa5r8HmzetwL2THgxbGxWVUiypCKkbvs\nuNHS1z2S38CkRlqmueZhLO4akt+l2kBxlztTa3HWG+yubCB2aCSMTo+9qC2uHljd7sLaDhdeG55R\ndPzQWARtdgvW1iCw9+zqQyKVwU9PTFb9s8CS1W+z8u2SHQM+RBaSGA3Wv1t6JpqAx26B3VL/7lpp\nGaxlx4x0hPSplJbJviaLe8vjdVjgspkbHLnPVp1ikGRH7s2XjegOj4Zx/Rq/5p7b5dg72Ik3z84o\ncm88NhbB9gFvTRtWblgTQL/PUXNqZiaaQCyRxpoylgeNQM2iatY0TB2L3rwzpJbirmLk7ufIfeVA\nROj1OhRF7kIIPPrzM9j7lZcUDWMAsm+KsfACdlaZkpEMdnswu5jCdAnzpnAsgbPTUd2mZCS3DXZi\nPp7CkQoOiMl0Bicm5qpOyUhMJsLdu/rwyumpmt7A+U6ZKn3c6+Wa3jZYzaSKuAdjSVU6ZYACfxkN\nxV2mmeT4xnrwcuS+slCykSmeSuMPvncUX/nnk5iPp/C5bx7A1187VzFHWmsxVVKpY0YOiNZrMVVy\ny4YOkAIL4Pcm55BIVV9MLeTOHb1IpkVNG5pGm9wGKbFbzNjco05RNRiN1209INGDv0xYhSlMEvka\nsxy5rwyys1RLi/vMfBz//u/ewvfevojf/dAmvP7F2/HhbT34s+ffxZd+MFS2R/6YWuJeotPk0EgY\nRMCuVfoW94Dbhh39vopWBLUWUwu5bnUA7W4bXqoh7z6Sc2dcFWiuuAPZcx5SYadqKFq/9YBEimEw\n2rze8OXInLsa4p7PuTdpYAeLu8b0+RyYnF0suhP01MQc7ntkH45ejOD/PHg9fvdDm+G2W/C1X3kf\nPv/BjXhi/yg+/fhbJSOboYsRrOtw1TymrNfrgNtmLmlDcGg0jGt62hTZCGvN3sFOHBoJIRovvclo\naCwCj92CdR21j50zmwgfuKYL//reVNUTmkaCMfR47Q23+i2GLKpK+4NamYnG65qdWojVbILXYUEw\nGlfl9WohHEvCYiJV/sY9dgvMJuKc+0qh1+dEKiMwM3/lH/DLJy/jE197HfFUBv/4m7fg3mv788+Z\nTIQ/+OgW/OUnr8U7F8L4+Ff3FU2dDNWwM7UQIio5lSmTETgyGtZ9vl1y22AnkmmB/edLWwAPjc1i\ne39txdRCPrS1B+FYEu/kPHeUokWnjESNoupCIo3FZEa1yB0AOjx2BJu4q3M5oVjWV0aNhgEigs9p\n5Zz7SkGO25MdM0II/N2rZ/G5bx7A2g4Xnv3C3pICev8Nq/DEQzdhbjGFj391H149vZTnDeWLqbWL\nO5CdylRsA9C5mSgiC0nd59slu9cFYLOYsK9Ev3syncGJ8dm6/70A4Bc2dcJqJvzsZHWpGS163CXX\n9LbBYqqvqCo3MKlVUAWyXSpaRu6RBXUcISX+JvrLKBJ3IrqTiE4R0TARfbHI8x8goggRHc7990fq\nL7U1KRy3l0hl8KUfDOG//egEPrKtF//08C35jU6leN/advzwC3vR73Pi1/7+AL71xnkA1TsblmJj\ntwfjkUXML0tnHB6RxVT92Q4Uw2E148Z1gZJ599OT80ikMti5qn5xb3NYcdP6DvzshHIrgngqjfEm\nWf0Ww2Gtv6gqR+KpVVDNvpZd05x7KJpUpQ1S4tWTuBORGcAjAO4CsA3Ag0S0rcihrwohrsv996cq\nr7NlkRuZTk7M4tOPv4Un9o/i8x/ciK/+yg1w2ZTl+VYFXHj6t27FBzZ34Y9+eBz/5Zlj+U4WJTNT\nyyGLqsvz7odGQ/DYLdjY5anr9ZvJ3sFOnJyYw9Tc1ZFgvcXn5dy+pRvDl+dxYUbZqMKx0AKEaH6n\nTCH1FlXzkbuq4m7VtFsmFEvAp0IbpMTv0pG4A9gDYFgIcVYIkQDwJID7GruslUO7ywab2YS/+ulp\nvHMhjP/1767FH3x0S9V5X4/dgsc+vRsP/eIGfPvNC/jrn53G2g5XvkJfK6XaIQ+NhHHtah/Mdean\nm8ltOSuC14u4RMpi6vo6iqmF3LG1GwAUR+/NdoMsxo5VPoRjtRdVZfpEzZx7IDewQ02zrXRG4OTE\nLI6NRSr+NxNNqBq5NzPnriQ0HAAwWvD9RQA3FTnuViI6CmAMwO8LIY6rsL6Wx2QirOt0IRhN4G9/\ndTfet7b2NIfZRPjSx7ZisMuD//zMEG5QIWWypt0Fi4muyLsvJNI4OTGHh9+/oe7Xbybb+33wOa14\nfXgG9103cMVzQ2MRbFOhmCpZ2+HGYLcHL528jF+/bX3F47XqcS9EpvCOjUVqyv3LQdudKs7R7fc5\nkUhn8K03LuAzt66r+/XCsQR+6x/ewetnlNlRAEC3V73zaWbOXa0etncArBFCzBPRxwA8A2DT8oOI\n6CEADwHAmjVrVPrVxucbn90Dp9WsWsTzyRtX45aNHTW3QBZiNZuwrvNKj5mhsQjSGYHrdWjzWw5z\nzgL4tZwFsOyASOWKqf/+5rWq/r47tnTj8X3nMLeYrDgoZSQYg91iQlebdgPGtxQUVe/a2VfVz2Yy\nAk+/cxE3b2iv+26xkF/evQqvnp7CHz97HMOX5/HH926DxVxbH8jZqXl87psHMRZawJfv3qrog9RE\nhJs2tNf0+4rhc1oxu5hEJiNUCyRKoUTcxwCsLvh+Ve6xPEKI2YKvXyCirxJRpxBietlxjwF4DAB2\n797dHFNjA9DvV99LRM2ui8EuD967PJf//vBozgnSIJ0yhewd7MQ/H5vAhZkY1nVmUzCnL88jnlI2\nM7Ua7tjag7995SxePT2Nj1UQy5Fcp4yWHj0OqxmbemqbqbrvzDRGgwv4/Y9co+qaXDYL/vZXd+Mv\nfnwSf/vKWZybjuKRT90AX5Wpkn3D0/iP33kbVrMJ3/0PN2H3OvUEuxp8LhuEAOYWU1WfQ7Uo+Qg8\nAGATEa0nIhuABwA8W3gAEfVS7q+SiPbkXlf5fQ+jawa7PbgwE8vvhj00Esbqdqeqt9/NQubdC7tm\n6rVpKMUNa/zwOa2K8u4jwQVNUzKSnQPemmaqPrF/BAGXFR/d3qv6mswmwn/62Fb8xSd24a1zM/j4\n1/bh3LSyQjUAfOfNC/j04/vR53Pimc/v1UzYgeba/lYUdyFECsAXALwI4ASAp4QQx4noYSJ6OHfY\nvwVwjIiOAPhrAA+IZo0bYRrOxm430hmR7/w4NBI2XEpGsrbDhQG/8wqfmWNjEbhtZmzoVKeYKrGY\nTfjgNV14+dTlsrNohRAY1XADUyE7B3wIxZIYCysvqk7NxfEvxyfxiRtWNXR37SdvXI3vfO4mhKIJ\n/NIj+4oWxgtJpTP4k2eP48vPHMP7N3fhe//xFs32EUj8TbQgUJS8EkK8IITYLITYKIT489xjjwoh\nHs19/TdCiO1CiGuFEDcLIV5v5KKZ5lI4lWk8soCJ2UXD7ExdDhHhtsFOvH5mJi+4Q2MRbO/3NSQH\nevvWHgSjiXxrajFCsSTm4ynNhQdYunuppt/9e29fRCoj8MCextfRbtrQgR9+/jZ0t9nx6a/vx3ff\nGil63OxiEr/+zYP4xuvn8Ru3rcf//fTuqgbENwqZitFF5M4wG7uzEe3w5fmCzUvGFHcA2LupE5GF\nJI5fiuSLqWqnZCTv39wFs4nwszJGYnpog5Rs7fPCbCIcG5utfDCyhdQnD4xgz/r2fNtso1nTkd3X\nsXewE1/6wRD+9Ll3r7gzujATxf1ffR2vD0/jK/fvxJfv2aabll1/E21/WdyZirhsFgz4nVlxHw3D\nZjZhW39tHvF64NaNHQCyeffhqXksJjPYuaox5+NzWnHjukDZwdl6EneH1YxN3R7FRdU3zs7gwkwM\nn2pC1F6I12HF1z+zG7++dz0e33cOn/vmAcwtJvHm2Rnc98g+TM/H8e3P3dSUu4lqaGbOXf92fowu\n2NjtwfDUPC6FF7Gt36vKGDWt6PTYsaW3DfuGp9GVKwqr3SlTyIe29uC//egELoZiRe18ZY/76iZP\nYCrFzgEfXjp5+Yp20VJ8d/8IfE4r7tyhfiG1EhazCX907zZs7Hbjj394HHf/9WsYj2QL01//zI35\nbig94dVTQZVhAGBjlxtnLkcxNBYxdEpGcttgJw6cD+HtCyG4bGas72xcSuH2LdndqqWi95GZGDo9\ndsV2E41m5yofZqKJiuMfZ+bj+JfjEw0vpFbiV25ai2/9+h7MLiZxy8ZOfP+39upS2IHsnZHDauLI\nndEPg90eLCTTAGDYYmohezd14u9eO4d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      "text/plain": [
       "<matplotlib.figure.Figure at 0x133a05048>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "scores = []\n",
    "for s in range(1,31):\n",
    "    scores.append(subject_scores(s,'poly'))\n",
    "    \n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "plt.plot(scores)\n",
    "print(\"Average score is: \", np.mean(scores))\n",
    "print(\"Standard deviation is: \", np.std(scores))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Average score is:  0.771428571429\n",
      "Standard deviation is:  0.157196960383\n"
     ]
    },
    {
     "data": {
      "image/png": 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bYzAT0eNEdIaIzkSjUY2HbByzQTeuxbfw+vVNnGzw79qxXzLdG3NlWvELdx+C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\nCASCIUSIu0AgEAwh/z/lJJ3yffxq6wAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x133a50c18>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "scores = []\n",
    "for s in range(1,31):\n",
    "    scores.append(subject_scores(s,'sigmoid'))\n",
    "    \n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "plt.plot(scores)\n",
    "print(\"Average score is: \", np.mean(scores))\n",
    "print(\"Standard deviation is: \", np.std(scores))"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}