EDA_of_telecom_customer_churn.ipynb

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    "colab": {
      "name": "telecom customer churn analysis .ipynb",
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      "authorship_tag": "ABX9TyP0ZOLHhm648Vy1CllESCJN",
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      "cell_type": "markdown",
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        "<a href=\"https://colab.research.google.com/github/santanukumar666/Data-analysis-projects/blob/main/telecom_customer_churn_analysis_.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
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      "execution_count": 1,
      "metadata": {
        "id": "V0WCcNg0bhu4"
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      "source": [
        "import numpy as np \n",
        "import pandas as pd \n",
        "import seaborn as sns \n",
        "import matplotlib.ticker as mtick  \n",
        "import matplotlib.pyplot as plt\n",
        "%matplotlib inline"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "telco_base_data = pd.read_csv('WA_Fn-UseC_-Telco-Customer-Churn.csv')"
      ],
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        "id": "Fkrx9F6_b0Cq"
      },
      "execution_count": 2,
      "outputs": []
    },
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      "source": [
        "telco_base_data.head()"
      ],
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          "height": 357
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        "outputId": "f31c6e76-cf76-4521-b465-d1cc38c33399"
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      "outputs": [
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              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>customerID</th>\n",
              "      <th>gender</th>\n",
              "      <th>SeniorCitizen</th>\n",
              "      <th>Partner</th>\n",
              "      <th>Dependents</th>\n",
              "      <th>tenure</th>\n",
              "      <th>PhoneService</th>\n",
              "      <th>MultipleLines</th>\n",
              "      <th>InternetService</th>\n",
              "      <th>OnlineSecurity</th>\n",
              "      <th>OnlineBackup</th>\n",
              "      <th>DeviceProtection</th>\n",
              "      <th>TechSupport</th>\n",
              "      <th>StreamingTV</th>\n",
              "      <th>StreamingMovies</th>\n",
              "      <th>Contract</th>\n",
              "      <th>PaperlessBilling</th>\n",
              "      <th>PaymentMethod</th>\n",
              "      <th>MonthlyCharges</th>\n",
              "      <th>TotalCharges</th>\n",
              "      <th>Churn</th>\n",
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              "      <th>0</th>\n",
              "      <td>7590-VHVEG</td>\n",
              "      <td>Female</td>\n",
              "      <td>0</td>\n",
              "      <td>Yes</td>\n",
              "      <td>No</td>\n",
              "      <td>1</td>\n",
              "      <td>No</td>\n",
              "      <td>No phone service</td>\n",
              "      <td>DSL</td>\n",
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              "      <td>No</td>\n",
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              "    <tr>\n",
              "      <th>1</th>\n",
              "      <td>5575-GNVDE</td>\n",
              "      <td>Male</td>\n",
              "      <td>0</td>\n",
              "      <td>No</td>\n",
              "      <td>No</td>\n",
              "      <td>34</td>\n",
              "      <td>Yes</td>\n",
              "      <td>No</td>\n",
              "      <td>DSL</td>\n",
              "      <td>Yes</td>\n",
              "      <td>No</td>\n",
              "      <td>Yes</td>\n",
              "      <td>No</td>\n",
              "      <td>No</td>\n",
              "      <td>No</td>\n",
              "      <td>One year</td>\n",
              "      <td>No</td>\n",
              "      <td>Mailed check</td>\n",
              "      <td>56.95</td>\n",
              "      <td>1889.5</td>\n",
              "      <td>No</td>\n",
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              "    <tr>\n",
              "      <th>2</th>\n",
              "      <td>3668-QPYBK</td>\n",
              "      <td>Male</td>\n",
              "      <td>0</td>\n",
              "      <td>No</td>\n",
              "      <td>No</td>\n",
              "      <td>2</td>\n",
              "      <td>Yes</td>\n",
              "      <td>No</td>\n",
              "      <td>DSL</td>\n",
              "      <td>Yes</td>\n",
              "      <td>Yes</td>\n",
              "      <td>No</td>\n",
              "      <td>No</td>\n",
              "      <td>No</td>\n",
              "      <td>No</td>\n",
              "      <td>Month-to-month</td>\n",
              "      <td>Yes</td>\n",
              "      <td>Mailed check</td>\n",
              "      <td>53.85</td>\n",
              "      <td>108.15</td>\n",
              "      <td>Yes</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>3</th>\n",
              "      <td>7795-CFOCW</td>\n",
              "      <td>Male</td>\n",
              "      <td>0</td>\n",
              "      <td>No</td>\n",
              "      <td>No</td>\n",
              "      <td>45</td>\n",
              "      <td>No</td>\n",
              "      <td>No phone service</td>\n",
              "      <td>DSL</td>\n",
              "      <td>Yes</td>\n",
              "      <td>No</td>\n",
              "      <td>Yes</td>\n",
              "      <td>Yes</td>\n",
              "      <td>No</td>\n",
              "      <td>No</td>\n",
              "      <td>One year</td>\n",
              "      <td>No</td>\n",
              "      <td>Bank transfer (automatic)</td>\n",
              "      <td>42.30</td>\n",
              "      <td>1840.75</td>\n",
              "      <td>No</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>4</th>\n",
              "      <td>9237-HQITU</td>\n",
              "      <td>Female</td>\n",
              "      <td>0</td>\n",
              "      <td>No</td>\n",
              "      <td>No</td>\n",
              "      <td>2</td>\n",
              "      <td>Yes</td>\n",
              "      <td>No</td>\n",
              "      <td>Fiber optic</td>\n",
              "      <td>No</td>\n",
              "      <td>No</td>\n",
              "      <td>No</td>\n",
              "      <td>No</td>\n",
              "      <td>No</td>\n",
              "      <td>No</td>\n",
              "      <td>Month-to-month</td>\n",
              "      <td>Yes</td>\n",
              "      <td>Electronic check</td>\n",
              "      <td>70.70</td>\n",
              "      <td>151.65</td>\n",
              "      <td>Yes</td>\n",
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            "text/plain": [
              "   customerID  gender  SeniorCitizen  ... MonthlyCharges TotalCharges  Churn\n",
              "0  7590-VHVEG  Female              0  ...          29.85        29.85     No\n",
              "1  5575-GNVDE    Male              0  ...          56.95       1889.5     No\n",
              "2  3668-QPYBK    Male              0  ...          53.85       108.15    Yes\n",
              "3  7795-CFOCW    Male              0  ...          42.30      1840.75     No\n",
              "4  9237-HQITU  Female              0  ...          70.70       151.65    Yes\n",
              "\n",
              "[5 rows x 21 columns]"
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              "(7043, 21)"
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          "execution_count": 4
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      "execution_count": 5,
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            "text/plain": [
              "customerID           object\n",
              "gender               object\n",
              "SeniorCitizen         int64\n",
              "Partner              object\n",
              "Dependents           object\n",
              "tenure                int64\n",
              "PhoneService         object\n",
              "MultipleLines        object\n",
              "InternetService      object\n",
              "OnlineSecurity       object\n",
              "OnlineBackup         object\n",
              "DeviceProtection     object\n",
              "TechSupport          object\n",
              "StreamingTV          object\n",
              "StreamingMovies      object\n",
              "Contract             object\n",
              "PaperlessBilling     object\n",
              "PaymentMethod        object\n",
              "MonthlyCharges      float64\n",
              "TotalCharges         object\n",
              "Churn                object\n",
              "dtype: object"
            ]
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          "execution_count": 5
        }
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        "telco_base_data.describe()"
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      "execution_count": 6,
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              "      <th></th>\n",
              "      <th>SeniorCitizen</th>\n",
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              "      <th>count</th>\n",
              "      <td>7043.000000</td>\n",
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              "      <th>mean</th>\n",
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              "      <th>std</th>\n",
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              "      <td>24.559481</td>\n",
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              "      <th>25%</th>\n",
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              "      <td>9.000000</td>\n",
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              "\n",
              "        async function convertToInteractive(key) {\n",
              "          const element = document.querySelector('#df-a631e164-3c06-4d38-bb81-1ff73ca1a289');\n",
              "          const dataTable =\n",
              "            await google.colab.kernel.invokeFunction('convertToInteractive',\n",
              "                                                     [key], {});\n",
              "          if (!dataTable) return;\n",
              "\n",
              "          const docLinkHtml = 'Like what you see? Visit the ' +\n",
              "            '<a target=\"_blank\" href=https://colab.research.google.com/notebooks/data_table.ipynb>data table notebook</a>'\n",
              "            + ' to learn more about interactive tables.';\n",
              "          element.innerHTML = '';\n",
              "          dataTable['output_type'] = 'display_data';\n",
              "          await google.colab.output.renderOutput(dataTable, element);\n",
              "          const docLink = document.createElement('div');\n",
              "          docLink.innerHTML = docLinkHtml;\n",
              "          element.appendChild(docLink);\n",
              "        }\n",
              "      </script>\n",
              "    </div>\n",
              "  </div>\n",
              "  "
            ],
            "text/plain": [
              "       SeniorCitizen       tenure  MonthlyCharges\n",
              "count    7043.000000  7043.000000     7043.000000\n",
              "mean        0.162147    32.371149       64.761692\n",
              "std         0.368612    24.559481       30.090047\n",
              "min         0.000000     0.000000       18.250000\n",
              "25%         0.000000     9.000000       35.500000\n",
              "50%         0.000000    29.000000       70.350000\n",
              "75%         0.000000    55.000000       89.850000\n",
              "max         1.000000    72.000000      118.750000"
            ]
          },
          "metadata": {},
          "execution_count": 6
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "SeniorCitizen is actually a categorical hence the 25%-50%-75% distribution is not propoer\n",
        "\n",
        "75% customers have tenure less than 55 months\n",
        "\n",
        "Average Monthly charges are USD 64.76 whereas 25% customers pay more than USD 89.85 per month"
      ],
      "metadata": {
        "id": "5ssQDnqhdPtI"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "telco_base_data['Churn'].value_counts().plot(kind='barh', figsize=(8, 6))\n",
        "plt.xlabel(\"Count\", labelpad=14)\n",
        "plt.ylabel(\"Target Variable\", labelpad=14)\n",
        "plt.title(\"Count of TARGET Variable per category\", y=1.02);"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 421
        },
        "id": "LyJds_6YdSMT",
        "outputId": "2f0e1029-d1b1-4f49-d8e9-af216457abee"
      },
      "execution_count": 7,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 576x432 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "100*telco_base_data['Churn'].value_counts()/len(telco_base_data['Churn'])"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "3Y1vFepcdYfw",
        "outputId": "cee67c55-8add-43a3-c2b9-4df6425371ef"
      },
      "execution_count": 8,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "No     73.463013\n",
              "Yes    26.536987\n",
              "Name: Churn, dtype: float64"
            ]
          },
          "metadata": {},
          "execution_count": 8
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "Data is highly imbalanced, ratio = 73:27\n",
        "So we analyse the data with other features while taking the target values separately to get some insights."
      ],
      "metadata": {
        "id": "uBrEmbmHh1PQ"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "This dataset has no missing values.\n",
        "But in general we should take care of the following points while dealing with missing values.\n",
        "\n",
        "\n",
        "*  For features with less missing values- can use regression to predict the missing values or fill with the mean of the values present, depending on the feature.\n",
        "\n",
        "*  For features with very high number of missing values- it is better to drop those columns as they give very less insight on analysis.\n",
        "\n",
        "\n",
        "*  As there's no thumb rule on what criteria do we delete the columns with high number of missing values, but generally you can delete the columns, if you have more than 30-40% of missing values. But again there's a catch here, for example, Is_Car & Car_Type, People having no cars, will obviously have Car_Type as NaN (null), but that doesn't make this column useless, so decisions has to be taken wisely.\n",
        "  \n",
        "\n",
        "\n",
        "\n"
      ],
      "metadata": {
        "id": "lPCFAunCiuUQ"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "telco_data = telco_base_data.copy()"
      ],
      "metadata": {
        "id": "Aotv6jZnjV6s"
      },
      "execution_count": 9,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "telco_data.TotalCharges = pd.to_numeric(telco_data.TotalCharges, errors='coerce')\n",
        "telco_data.isnull().sum()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "RRyfarY2j4D-",
        "outputId": "893cfed9-dbee-432a-8092-d9ddf5cc8bd7"
      },
      "execution_count": 10,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "customerID           0\n",
              "gender               0\n",
              "SeniorCitizen        0\n",
              "Partner              0\n",
              "Dependents           0\n",
              "tenure               0\n",
              "PhoneService         0\n",
              "MultipleLines        0\n",
              "InternetService      0\n",
              "OnlineSecurity       0\n",
              "OnlineBackup         0\n",
              "DeviceProtection     0\n",
              "TechSupport          0\n",
              "StreamingTV          0\n",
              "StreamingMovies      0\n",
              "Contract             0\n",
              "PaperlessBilling     0\n",
              "PaymentMethod        0\n",
              "MonthlyCharges       0\n",
              "TotalCharges        11\n",
              "Churn                0\n",
              "dtype: int64"
            ]
          },
          "metadata": {},
          "execution_count": 10
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "As we can see there are 11 missing values in TotalCharges column. Let's check these records"
      ],
      "metadata": {
        "id": "LFwBK9lukfao"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "telco_data.loc[telco_data ['TotalCharges'].isnull() == True]"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 649
        },
        "id": "d13folPAkgBR",
        "outputId": "8ff27234-6c5f-477a-a0bc-de2bda8658af"
      },
      "execution_count": 11,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
              "\n",
              "  <div id=\"df-a08999e9-1101-44fa-8630-77fe7c7b64d1\">\n",
              "    <div class=\"colab-df-container\">\n",
              "      <div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
              "        vertical-align: middle;\n",
              "    }\n",
              "\n",
              "    .dataframe tbody tr th {\n",
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              "\n",
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              "        text-align: right;\n",
              "    }\n",
              "</style>\n",
              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>customerID</th>\n",
              "      <th>gender</th>\n",
              "      <th>SeniorCitizen</th>\n",
              "      <th>Partner</th>\n",
              "      <th>Dependents</th>\n",
              "      <th>tenure</th>\n",
              "      <th>PhoneService</th>\n",
              "      <th>MultipleLines</th>\n",
              "      <th>InternetService</th>\n",
              "      <th>OnlineSecurity</th>\n",
              "      <th>OnlineBackup</th>\n",
              "      <th>DeviceProtection</th>\n",
              "      <th>TechSupport</th>\n",
              "      <th>StreamingTV</th>\n",
              "      <th>StreamingMovies</th>\n",
              "      <th>Contract</th>\n",
              "      <th>PaperlessBilling</th>\n",
              "      <th>PaymentMethod</th>\n",
              "      <th>MonthlyCharges</th>\n",
              "      <th>TotalCharges</th>\n",
              "      <th>Churn</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>488</th>\n",
              "      <td>4472-LVYGI</td>\n",
              "      <td>Female</td>\n",
              "      <td>0</td>\n",
              "      <td>Yes</td>\n",
              "      <td>Yes</td>\n",
              "      <td>0</td>\n",
              "      <td>No</td>\n",
              "      <td>No phone service</td>\n",
              "      <td>DSL</td>\n",
              "      <td>Yes</td>\n",
              "      <td>No</td>\n",
              "      <td>Yes</td>\n",
              "      <td>Yes</td>\n",
              "      <td>Yes</td>\n",
              "      <td>No</td>\n",
              "      <td>Two year</td>\n",
              "      <td>Yes</td>\n",
              "      <td>Bank transfer (automatic)</td>\n",
              "      <td>52.55</td>\n",
              "      <td>NaN</td>\n",
              "      <td>No</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>753</th>\n",
              "      <td>3115-CZMZD</td>\n",
              "      <td>Male</td>\n",
              "      <td>0</td>\n",
              "      <td>No</td>\n",
              "      <td>Yes</td>\n",
              "      <td>0</td>\n",
              "      <td>Yes</td>\n",
              "      <td>No</td>\n",
              "      <td>No</td>\n",
              "      <td>No internet service</td>\n",
              "      <td>No internet service</td>\n",
              "      <td>No internet service</td>\n",
              "      <td>No internet service</td>\n",
              "      <td>No internet service</td>\n",
              "      <td>No internet service</td>\n",
              "      <td>Two year</td>\n",
              "      <td>No</td>\n",
              "      <td>Mailed check</td>\n",
              "      <td>20.25</td>\n",
              "      <td>NaN</td>\n",
              "      <td>No</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>936</th>\n",
              "      <td>5709-LVOEQ</td>\n",
              "      <td>Female</td>\n",
              "      <td>0</td>\n",
              "      <td>Yes</td>\n",
              "      <td>Yes</td>\n",
              "      <td>0</td>\n",
              "      <td>Yes</td>\n",
              "      <td>No</td>\n",
              "      <td>DSL</td>\n",
              "      <td>Yes</td>\n",
              "      <td>Yes</td>\n",
              "      <td>Yes</td>\n",
              "      <td>No</td>\n",
              "      <td>Yes</td>\n",
              "      <td>Yes</td>\n",
              "      <td>Two year</td>\n",
              "      <td>No</td>\n",
              "      <td>Mailed check</td>\n",
              "      <td>80.85</td>\n",
              "      <td>NaN</td>\n",
              "      <td>No</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1082</th>\n",
              "      <td>4367-NUYAO</td>\n",
              "      <td>Male</td>\n",
              "      <td>0</td>\n",
              "      <td>Yes</td>\n",
              "      <td>Yes</td>\n",
              "      <td>0</td>\n",
              "      <td>Yes</td>\n",
              "      <td>Yes</td>\n",
              "      <td>No</td>\n",
              "      <td>No internet service</td>\n",
              "      <td>No internet service</td>\n",
              "      <td>No internet service</td>\n",
              "      <td>No internet service</td>\n",
              "      <td>No internet service</td>\n",
              "      <td>No internet service</td>\n",
              "      <td>Two year</td>\n",
              "      <td>No</td>\n",
              "      <td>Mailed check</td>\n",
              "      <td>25.75</td>\n",
              "      <td>NaN</td>\n",
              "      <td>No</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1340</th>\n",
              "      <td>1371-DWPAZ</td>\n",
              "      <td>Female</td>\n",
              "      <td>0</td>\n",
              "      <td>Yes</td>\n",
              "      <td>Yes</td>\n",
              "      <td>0</td>\n",
              "      <td>No</td>\n",
              "      <td>No phone service</td>\n",
              "      <td>DSL</td>\n",
              "      <td>Yes</td>\n",
              "      <td>Yes</td>\n",
              "      <td>Yes</td>\n",
              "      <td>Yes</td>\n",
              "      <td>Yes</td>\n",
              "      <td>No</td>\n",
              "      <td>Two year</td>\n",
              "      <td>No</td>\n",
              "      <td>Credit card (automatic)</td>\n",
              "      <td>56.05</td>\n",
              "      <td>NaN</td>\n",
              "      <td>No</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>3331</th>\n",
              "      <td>7644-OMVMY</td>\n",
              "      <td>Male</td>\n",
              "      <td>0</td>\n",
              "      <td>Yes</td>\n",
              "      <td>Yes</td>\n",
              "      <td>0</td>\n",
              "      <td>Yes</td>\n",
              "      <td>No</td>\n",
              "      <td>No</td>\n",
              "      <td>No internet service</td>\n",
              "      <td>No internet service</td>\n",
              "      <td>No internet service</td>\n",
              "      <td>No internet service</td>\n",
              "      <td>No internet service</td>\n",
              "      <td>No internet service</td>\n",
              "      <td>Two year</td>\n",
              "      <td>No</td>\n",
              "      <td>Mailed check</td>\n",
              "      <td>19.85</td>\n",
              "      <td>NaN</td>\n",
              "      <td>No</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>3826</th>\n",
              "      <td>3213-VVOLG</td>\n",
              "      <td>Male</td>\n",
              "      <td>0</td>\n",
              "      <td>Yes</td>\n",
              "      <td>Yes</td>\n",
              "      <td>0</td>\n",
              "      <td>Yes</td>\n",
              "      <td>Yes</td>\n",
              "      <td>No</td>\n",
              "      <td>No internet service</td>\n",
              "      <td>No internet service</td>\n",
              "      <td>No internet service</td>\n",
              "      <td>No internet service</td>\n",
              "      <td>No internet service</td>\n",
              "      <td>No internet service</td>\n",
              "      <td>Two year</td>\n",
              "      <td>No</td>\n",
              "      <td>Mailed check</td>\n",
              "      <td>25.35</td>\n",
              "      <td>NaN</td>\n",
              "      <td>No</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>4380</th>\n",
              "      <td>2520-SGTTA</td>\n",
              "      <td>Female</td>\n",
              "      <td>0</td>\n",
              "      <td>Yes</td>\n",
              "      <td>Yes</td>\n",
              "      <td>0</td>\n",
              "      <td>Yes</td>\n",
              "      <td>No</td>\n",
              "      <td>No</td>\n",
              "      <td>No internet service</td>\n",
              "      <td>No internet service</td>\n",
              "      <td>No internet service</td>\n",
              "      <td>No internet service</td>\n",
              "      <td>No internet service</td>\n",
              "      <td>No internet service</td>\n",
              "      <td>Two year</td>\n",
              "      <td>No</td>\n",
              "      <td>Mailed check</td>\n",
              "      <td>20.00</td>\n",
              "      <td>NaN</td>\n",
              "      <td>No</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>5218</th>\n",
              "      <td>2923-ARZLG</td>\n",
              "      <td>Male</td>\n",
              "      <td>0</td>\n",
              "      <td>Yes</td>\n",
              "      <td>Yes</td>\n",
              "      <td>0</td>\n",
              "      <td>Yes</td>\n",
              "      <td>No</td>\n",
              "      <td>No</td>\n",
              "      <td>No internet service</td>\n",
              "      <td>No internet service</td>\n",
              "      <td>No internet service</td>\n",
              "      <td>No internet service</td>\n",
              "      <td>No internet service</td>\n",
              "      <td>No internet service</td>\n",
              "      <td>One year</td>\n",
              "      <td>Yes</td>\n",
              "      <td>Mailed check</td>\n",
              "      <td>19.70</td>\n",
              "      <td>NaN</td>\n",
              "      <td>No</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>6670</th>\n",
              "      <td>4075-WKNIU</td>\n",
              "      <td>Female</td>\n",
              "      <td>0</td>\n",
              "      <td>Yes</td>\n",
              "      <td>Yes</td>\n",
              "      <td>0</td>\n",
              "      <td>Yes</td>\n",
              "      <td>Yes</td>\n",
              "      <td>DSL</td>\n",
              "      <td>No</td>\n",
              "      <td>Yes</td>\n",
              "      <td>Yes</td>\n",
              "      <td>Yes</td>\n",
              "      <td>Yes</td>\n",
              "      <td>No</td>\n",
              "      <td>Two year</td>\n",
              "      <td>No</td>\n",
              "      <td>Mailed check</td>\n",
              "      <td>73.35</td>\n",
              "      <td>NaN</td>\n",
              "      <td>No</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>6754</th>\n",
              "      <td>2775-SEFEE</td>\n",
              "      <td>Male</td>\n",
              "      <td>0</td>\n",
              "      <td>No</td>\n",
              "      <td>Yes</td>\n",
              "      <td>0</td>\n",
              "      <td>Yes</td>\n",
              "      <td>Yes</td>\n",
              "      <td>DSL</td>\n",
              "      <td>Yes</td>\n",
              "      <td>Yes</td>\n",
              "      <td>No</td>\n",
              "      <td>Yes</td>\n",
              "      <td>No</td>\n",
              "      <td>No</td>\n",
              "      <td>Two year</td>\n",
              "      <td>Yes</td>\n",
              "      <td>Bank transfer (automatic)</td>\n",
              "      <td>61.90</td>\n",
              "      <td>NaN</td>\n",
              "      <td>No</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
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              "      <button class=\"colab-df-convert\" onclick=\"convertToInteractive('df-a08999e9-1101-44fa-8630-77fe7c7b64d1')\"\n",
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              "    .colab-df-container {\n",
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              "          google.colab.kernel.accessAllowed ? 'block' : 'none';\n",
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              "        async function convertToInteractive(key) {\n",
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              "                                                     [key], {});\n",
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              "\n",
              "          const docLinkHtml = 'Like what you see? Visit the ' +\n",
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              "  "
            ],
            "text/plain": [
              "      customerID  gender  SeniorCitizen  ... MonthlyCharges TotalCharges  Churn\n",
              "488   4472-LVYGI  Female              0  ...          52.55          NaN     No\n",
              "753   3115-CZMZD    Male              0  ...          20.25          NaN     No\n",
              "936   5709-LVOEQ  Female              0  ...          80.85          NaN     No\n",
              "1082  4367-NUYAO    Male              0  ...          25.75          NaN     No\n",
              "1340  1371-DWPAZ  Female              0  ...          56.05          NaN     No\n",
              "3331  7644-OMVMY    Male              0  ...          19.85          NaN     No\n",
              "3826  3213-VVOLG    Male              0  ...          25.35          NaN     No\n",
              "4380  2520-SGTTA  Female              0  ...          20.00          NaN     No\n",
              "5218  2923-ARZLG    Male              0  ...          19.70          NaN     No\n",
              "6670  4075-WKNIU  Female              0  ...          73.35          NaN     No\n",
              "6754  2775-SEFEE    Male              0  ...          61.90          NaN     No\n",
              "\n",
              "[11 rows x 21 columns]"
            ]
          },
          "metadata": {},
          "execution_count": 11
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "Since the % of these records compared to total dataset is very low ie 0.15%, it is safe to ignore them from further processing."
      ],
      "metadata": {
        "id": "hmwXqotcmZlZ"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "telco_data.dropna(how = 'any', inplace = True)"
      ],
      "metadata": {
        "id": "_y8QjueVkiZe"
      },
      "execution_count": 12,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "Divide customers into bins based on tenure e.g. for tenure < 12 months: assign a tenure group if 1-12, for tenure between 1 to 2 Yrs, tenure group of 13-24; so on..."
      ],
      "metadata": {
        "id": "SOazz8NpnFU-"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "print(telco_data['tenure'].max())"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "BueA2jYbnHCv",
        "outputId": "609d7b1b-d9d7-4929-a87b-4c10804af171"
      },
      "execution_count": 13,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "72\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "labels = [\"{0} - {1}\".format(i, i + 11) for i in range(1, 72, 12)]\n",
        "\n",
        "telco_data['tenure_group'] = pd.cut(telco_data.tenure, range(1, 80, 12), right=False, labels=labels)"
      ],
      "metadata": {
        "id": "8vnwuHIbnMod"
      },
      "execution_count": 14,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "telco_data['tenure_group'].value_counts()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "pF4OThCFnq48",
        "outputId": "48004aaf-dff0-4fec-a1e5-39596f71e613"
      },
      "execution_count": 15,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "1 - 12     2175\n",
              "61 - 72    1407\n",
              "13 - 24    1024\n",
              "49 - 60     832\n",
              "25 - 36     832\n",
              "37 - 48     762\n",
              "Name: tenure_group, dtype: int64"
            ]
          },
          "metadata": {},
          "execution_count": 15
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        " Remove columns not required for processing"
      ],
      "metadata": {
        "id": "N4E3VZThnyt-"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "#drop column customerID and tenure\n",
        "telco_data.drop(columns= ['customerID','tenure'], axis=1, inplace=True)\n",
        "telco_data.head()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 339
        },
        "id": "DmexYTbantIR",
        "outputId": "2069d622-dc61-402e-ba86-e561f66de72e"
      },
      "execution_count": 16,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
              "\n",
              "  <div id=\"df-df50d2d5-a065-4d87-a984-1d795bb07258\">\n",
              "    <div class=\"colab-df-container\">\n",
              "      <div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
              "        vertical-align: middle;\n",
              "    }\n",
              "\n",
              "    .dataframe tbody tr th {\n",
              "        vertical-align: top;\n",
              "    }\n",
              "\n",
              "    .dataframe thead th {\n",
              "        text-align: right;\n",
              "    }\n",
              "</style>\n",
              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>gender</th>\n",
              "      <th>SeniorCitizen</th>\n",
              "      <th>Partner</th>\n",
              "      <th>Dependents</th>\n",
              "      <th>PhoneService</th>\n",
              "      <th>MultipleLines</th>\n",
              "      <th>InternetService</th>\n",
              "      <th>OnlineSecurity</th>\n",
              "      <th>OnlineBackup</th>\n",
              "      <th>DeviceProtection</th>\n",
              "      <th>TechSupport</th>\n",
              "      <th>StreamingTV</th>\n",
              "      <th>StreamingMovies</th>\n",
              "      <th>Contract</th>\n",
              "      <th>PaperlessBilling</th>\n",
              "      <th>PaymentMethod</th>\n",
              "      <th>MonthlyCharges</th>\n",
              "      <th>TotalCharges</th>\n",
              "      <th>Churn</th>\n",
              "      <th>tenure_group</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>0</th>\n",
              "      <td>Female</td>\n",
              "      <td>0</td>\n",
              "      <td>Yes</td>\n",
              "      <td>No</td>\n",
              "      <td>No</td>\n",
              "      <td>No phone service</td>\n",
              "      <td>DSL</td>\n",
              "      <td>No</td>\n",
              "      <td>Yes</td>\n",
              "      <td>No</td>\n",
              "      <td>No</td>\n",
              "      <td>No</td>\n",
              "      <td>No</td>\n",
              "      <td>Month-to-month</td>\n",
              "      <td>Yes</td>\n",
              "      <td>Electronic check</td>\n",
              "      <td>29.85</td>\n",
              "      <td>29.85</td>\n",
              "      <td>No</td>\n",
              "      <td>1 - 12</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1</th>\n",
              "      <td>Male</td>\n",
              "      <td>0</td>\n",
              "      <td>No</td>\n",
              "      <td>No</td>\n",
              "      <td>Yes</td>\n",
              "      <td>No</td>\n",
              "      <td>DSL</td>\n",
              "      <td>Yes</td>\n",
              "      <td>No</td>\n",
              "      <td>Yes</td>\n",
              "      <td>No</td>\n",
              "      <td>No</td>\n",
              "      <td>No</td>\n",
              "      <td>One year</td>\n",
              "      <td>No</td>\n",
              "      <td>Mailed check</td>\n",
              "      <td>56.95</td>\n",
              "      <td>1889.50</td>\n",
              "      <td>No</td>\n",
              "      <td>25 - 36</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2</th>\n",
              "      <td>Male</td>\n",
              "      <td>0</td>\n",
              "      <td>No</td>\n",
              "      <td>No</td>\n",
              "      <td>Yes</td>\n",
              "      <td>No</td>\n",
              "      <td>DSL</td>\n",
              "      <td>Yes</td>\n",
              "      <td>Yes</td>\n",
              "      <td>No</td>\n",
              "      <td>No</td>\n",
              "      <td>No</td>\n",
              "      <td>No</td>\n",
              "      <td>Month-to-month</td>\n",
              "      <td>Yes</td>\n",
              "      <td>Mailed check</td>\n",
              "      <td>53.85</td>\n",
              "      <td>108.15</td>\n",
              "      <td>Yes</td>\n",
              "      <td>1 - 12</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>3</th>\n",
              "      <td>Male</td>\n",
              "      <td>0</td>\n",
              "      <td>No</td>\n",
              "      <td>No</td>\n",
              "      <td>No</td>\n",
              "      <td>No phone service</td>\n",
              "      <td>DSL</td>\n",
              "      <td>Yes</td>\n",
              "      <td>No</td>\n",
              "      <td>Yes</td>\n",
              "      <td>Yes</td>\n",
              "      <td>No</td>\n",
              "      <td>No</td>\n",
              "      <td>One year</td>\n",
              "      <td>No</td>\n",
              "      <td>Bank transfer (automatic)</td>\n",
              "      <td>42.30</td>\n",
              "      <td>1840.75</td>\n",
              "      <td>No</td>\n",
              "      <td>37 - 48</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>4</th>\n",
              "      <td>Female</td>\n",
              "      <td>0</td>\n",
              "      <td>No</td>\n",
              "      <td>No</td>\n",
              "      <td>Yes</td>\n",
              "      <td>No</td>\n",
              "      <td>Fiber optic</td>\n",
              "      <td>No</td>\n",
              "      <td>No</td>\n",
              "      <td>No</td>\n",
              "      <td>No</td>\n",
              "      <td>No</td>\n",
              "      <td>No</td>\n",
              "      <td>Month-to-month</td>\n",
              "      <td>Yes</td>\n",
              "      <td>Electronic check</td>\n",
              "      <td>70.70</td>\n",
              "      <td>151.65</td>\n",
              "      <td>Yes</td>\n",
              "      <td>1 - 12</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
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              "            await google.colab.kernel.invokeFunction('convertToInteractive',\n",
              "                                                     [key], {});\n",
              "          if (!dataTable) return;\n",
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              "          const docLinkHtml = 'Like what you see? Visit the ' +\n",
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              "    </div>\n",
              "  </div>\n",
              "  "
            ],
            "text/plain": [
              "   gender  SeniorCitizen Partner  ... TotalCharges Churn tenure_group\n",
              "0  Female              0     Yes  ...        29.85    No       1 - 12\n",
              "1    Male              0      No  ...      1889.50    No      25 - 36\n",
              "2    Male              0      No  ...       108.15   Yes       1 - 12\n",
              "3    Male              0      No  ...      1840.75    No      37 - 48\n",
              "4  Female              0      No  ...       151.65   Yes       1 - 12\n",
              "\n",
              "[5 rows x 20 columns]"
            ]
          },
          "metadata": {},
          "execution_count": 16
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "# univariate analysis"
      ],
      "metadata": {
        "id": "htpS7Q6Zn4RW"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "Plot distibution of individual predictors by churn"
      ],
      "metadata": {
        "id": "_ZCoytAkoIY-"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "for i, predictor in enumerate(telco_data.drop(columns=['Churn', 'TotalCharges', 'MonthlyCharges'])):\n",
        "    plt.figure(i)\n",
        "    sns.countplot(data=telco_data, x=predictor, hue='Churn')"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "e8a2Aba0oLom",
        "outputId": "2fc32443-cdee-406c-dc0b-a18e3ff1b79e"
      },
      "execution_count": 17,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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S22rMzKwkGrVnERF3AacBb6TbaRFxdzMfsxswHLg1Ig4B1pMdcip8vGDrkOiNImmKpGpJ1WvXrm1maWZmVp9GH0qKiKXA0lZ4zBqgJiKeSfP3kYXFG5L2jojV6TDTmrR8FTCw4P4Vqa1ufTOAGQBVVVVNChozM9uxJg9R3lIR8TrwmqT9U9NxZCE0H5ic2iYDv0zT84FJ6aqow4B3Cw5XmZlZCTTrJHUruACYk66EWgGcTRZccyWdC/yd7HMdAA8Co4HlwPtpXTMzK6GyhEVEPE/2nRh1HVfPugGcV/SizMysQSU/DGVmZu2Pw8LMzHI5LMzMLJfDwszMcjkszMwsl8PCzMxyOSzMzCyXw8LMzHI5LMzMLJfDwszMcjkszMwsl8PCzMxyOSzMzCyXw8LMzHI5LMzMLJfDwszMcjkszMwsl8PCzMxyOSzMzCyXw8LMzHI5LMzMLJfDwszMcjkszMwsV9nCQlJXSYsk/TrND5L0jKTlkn4mqUdq75nml6flleWq2cyssyrnnsVFwLKC+WuBGyLiU8DbwLmp/Vzg7dR+Q1rPzMxKqCxhIakC+BJwR5oXMAq4L60yGzglTY9N86Tlx6X1zcysRMq1Z3Ej8G3gozTfF3gnIjan+RpgQJoeALwGkJa/m9bfhqQpkqolVa9du7aYtZuZdTolDwtJY4A1EbGwNfuNiBkRURURVf3792/Nrs3MOr1uZXjMI4GTJY0GegG7ATcBu0vqlvYeKoBVaf1VwECgRlI34GPAutKXbWbWeZV8zyIiLo+IioioBMYDj0bEBOAxYFxabTLwyzQ9P82Tlj8aEVHCks3MOr229DmLy4BLJC0nOycxM7XPBPqm9kuAqWWqz8ys0yrHYagtIuJx4PE0vQIYWc86G4DTS1qYmZltoy3tWZiZWRvlsDAzs1wOCzMzy+WwMDOzXA4LMzPL5bAwM7NcDgszM8vlsDAzs1wOCzMzy+WwMDOzXA4LMzPLVdaxoax9ePXqzxal309+78Wi9Gtmrc97FmZmlsthYWZmuRwWZmaWy2FhZma5HBZmZpbLYWFmZrkcFmZmlsthYWZmuRwWZmaWy2FhZma5Sh4WkgZKekzSUkkvSbootfeRtEDSX9PPPVK7JN0sabmkxZKGl7pmM7POrhx7FpuBSyPiQOAw4DxJBwJTgUciYjDwSJoHOBEYnG5TgFtLX7KZWedW8rCIiNUR8Vya/iewDBgAjAVmp9VmA6ek6bHAXZF5Gthd0t4lLtvMrFMr6zkLSZXAIcAzwF4RsToteh3YK00PAF4ruFtNajMzsxIpW1hI2gWYB1wcEf8oXBYRAUQT+5siqVpS9dq1a1uxUjMzK0tYSOpOFhRzIuL+1PxG7eGl9HNNal8FDCy4e0Vq20ZEzIiIqoio6t+/f/GKNzPrhMpxNZSAmcCyiPiPgkXzgclpejLwy4L2SemqqMOAdwsOV5mZWQmU45vyjgQmAi9Kej61fQe4Bpgr6Vzg78AZadmDwGhgOfA+cHZpy7WOzt8EaJav5GEREX8E1MDi4+pZP4DzilqUmZntkD/BbWZmuRwWZmaWy2FhZma5HBZmZparHFdDmVkJ+Wovaw3eszAzs1wOCzMzy+XDUGbWrvkwW2l4z8LMzHI5LMzMLJfDwszMcjkszMwsl09wm5m1UcU6eQ9NP4HvPQszM8vlsDAzs1wOCzMzy+WwMDOzXA4LMzPL5bAwM7NcDgszM8vlsDAzs1wOCzMzy+WwMDOzXO0mLCSdIOnPkpZLmlrueszMOpN2ERaSugI/Ak4EDgS+KunA8lZlZtZ5tIuwAEYCyyNiRURsBO4Fxpa5JjOzTkMRUe4ackkaB5wQEf+a5icCh0bE+QXrTAGmpNn9gT+XsMR+wJslfLxS8/a1b96+9qvU27ZPRPSvb0GHGaI8ImYAM8rx2JKqI6KqHI9dCt6+9s3b1361pW1rL4ehVgEDC+YrUpuZmZVAewmLPwGDJQ2S1AMYD8wvc01mZp1GuzgMFRGbJZ0PPAR0BWZFxEtlLqtQWQ5/lZC3r33z9rVfbWbb2sUJbjMzK6/2chjKzMzKyGFhZma5HBZ1SJolaY2kJc28//lpSJKQ1K+gfYKkxZJelPRfkg5qvapza6p3myR9P9X0vKTfS/pEE/u9RNLS1Mcjkvaps3w3STWSftga21HP4w+U9Fiq4SVJFxUsmyZpVdq25yWNbmLfYwt+N9WSjipY9sn0+1qWHruy9bZqmxp6SXpW0gtp+64qWPZEwbb9t6RfNPMxvpz+V6vSfHdJs9P/6TJJl7fW9uyghq6SFkn6dUHbKEnPSVqS6mny+VVJZxT8b/y0oH2ypL+m2+TW2o4Gathd0n2SXk6/z8NT++mpro9qf/dN7PdbBX//JZI+lNRnR8+JFosI3wpuwOeA4cCSZt7/EKASWAn0K2g/AtgjTZ8IPFPubQJ2K5i+ELitif0eC+ycpv8X8LM6y28Cfgr8sEjbtTcwPE3vCvwFODDNTwO+2YK+d2HrOb1hwMsFyx4HvlCw3s5F2j4Bu6Tp7sAzwGH1rDcPmNSM/ncF/gA8DVSltq8B96bpndP/cWWR/z8vSf8nv07zXYDXgE+n+auBc5vY52BgUcFzbs/0sw+wIv3cI03vUcRtmw38a5ruAeyepg8g+/Dw47W/+xY8xknAo2m6wedES2/es6gjIv4AvNWC+y+KiJX1tP9XRLydZp8m+6xISTS0TRHxj4LZ3kCTrnaIiMci4v00u802SRoB7AX8vskFN/7xV0fEc2n6n8AyYEAr9f1epGccBb+bNCZZt4hYULDe+w1009IaIiLeS7Pd022bv5Gk3YBRQHP2LL4PXAtsKHxYoHd6J78TsBH4Rz33bRWSKoAvAXcUNPcFNkbEX9L8AuDLTez634Af1T7nImJNaj8eWBARb6VlC4ATmlv/jkj6GNkbtZmpho0R8U6aXhYRrTXKxFeBe1K/RXtOOCzK41zgt+UuAkDSdEmvAROA77Wgqy3bJKkL8APgmy2vsHHSoaBDyN591zo/HUqaJWmPZvR5qqSXgd8A56TmTwPvSLo/HTq5TtlAl0WRDtE8D6whe5F7ps4qpwCP1An+xvQ7HBgYEb+ps+g+YD2wGngVuD4imv3mqRFuBL4NfFTQ9ibQreDwzDi2/VBuY3wa+LSkJyU9Lak2EAaQ7bXUqqGVXkzrMQhYC9yZ/lfukNS7NR9A0s5kYTevnmWVbP+caDaHRYlJOpbshfWyctcCEBHfjYiBwBzg/Lz16yPpTKAKuC41fQN4MCJqWqfK3MffhezJcnHBi+atwH7AwWQvfD9oar8R8UBEfIbsBfn7qbkbcDRZEP4PYF/grJbUn1PDhxFxMNle20hJQ+ussuVdZWOlMP8P4NJ6Fo8EPgQ+QfZid6mkfZtceOPqGAOsiYiFhe1pj248cIOkZ4F/ppqaohvZoahjyH5HP5a0e4uLbnoNw4FbI+IQshBu7a9XOAl4sm6gN/CcaBGHRRPVvtNLt6ubeN9hZLvbYyNiXXEqbLY51LOrL+nOtK0P1ncnSZ8HvgucHBEfpObDyd7VrwSuByZJuqYYRUvqTvakmBMR99e2R8Qb6YX2I+DHZC+Cde87vfZvuaPHSIfx9lV2wUIN8HxkIyBvJjv8M7wVN6mhGt4BHqPgkEmqZyTZns92dvC32xUYCjye/kaHAfPTO/mvAb+LiE3p0M2TZG8EiuFI4ORUw73AKEn/ByAinoqIoyNiJNl5lb/UvXPO/2YNMD9txyvp/oMp7dBBNUBNwd7gfTThf6WR/5/jqfNmoaHnRIu15smcjnIjO0HdrBPcBX2sZNsT3J8ElgNHtJVtAgYXTF8A3NfEPg8B/lbYTz3rnEXxTnALuAu4sZ5lexdM/zvppG0T+v4UW09wDyd7QRHZCAIvAP3TsjuB84q0ff3ZekJ0J+AJYEzB8q8Ds1vhcR5n6wnuy4A703RvYCkwrJj/m+mxjiGd4E7ztSekewKPAKOa2N8Jtb8bspFbXyM7F9IHeIXs5PYeabpPEbfrCWD/ND0NuK6h330z+v4Y2bnI3gVtDT4nWrwtxf4naG83spReDWwie2fQ1KswLkz32wz8N3BHar8DeBt4Pt2qy71NZO8+lgCLgV8BA5rY78PAGwXbNL+edYoZFkeRnZBdXFDD6LTsbuDFtGw+BeHRyL4vA15KfT4FHFWw7Aup3xeBnwA9irR9w8iu6Fmc/k7fq7P8cbKh+1v6OFtesMiu7vp52valwLdK9D9aNyyuIzs5+2eyQylN7U9kh9qWpr/T+IJl55C9cVsOnF3k7ToYqE5/w1+w9eqsU9Nz8YP0HHqoGX2fRZ03QTt6TrT05uE+zMwsl89ZmJlZLoeFmZnlcliYmVkuh4WZmeVyWFinkgZ2+0a56zBrbxwW1tnsTvYJ86Jpzgipjey3aMOKmOVxWFhncw2wX/pk7HVpqOc/pTGkroJsTJ00nPSP0zDPv5e0U1r2uLYO590vffoYSWdJmi/pUeARSb3TmFTPpnGBxjZUkKSdJc1Nw0o/IOmZgsd4T9IPJL0AHK5sWPgl6XZxQb1LCvr7pqRpBfXeVDCU9XafZDdrDIeFdTZTgb9FNt7SArIhIEaSfXhqhKTPpfUGk41aOgR4h8aNejocGBcR/0I2BMqjkQ1XcSxw3Q4GkfsG8HZEHAhcAYwoWNabbDj7g4D/B5wNHEo2RMe/STqkEXXtnLb3G8CsRqxvth2HhXVmX0y3RcBzwGfIQgLglYioHZNnIdlwKXkWxNYB3b4ITE3j+jwO9CIb8qU+R5GNjURE1H6ivtaHbB1R9CjggYhYH9nQ5feTDWqYp3b46j8Au5VhQD3rAIpybNWsnRDwvyPi9m0as6GdPyho+pBsbCbIhnGpfZPVq05/6+v0/eVo+XcWbIiIvBFXC2uqr666wzR42AZrMu9ZWGfzT7JRVwEeAs5JwzkjaYCkPXPuv5Kth4nG7WC9h4ALJCn1vaPDRU8CZ6T1DgQ+28B6TwCnpHMcvcnGF3qCbGyhPSX1ldQTGFPnfl9JfR8FvBsR7+6gFrN6ec/COpWIWJe+EGcJ2Zc1/RR4Kr2mvwecyY6/O+F6YK6kKTQwNHjyfbIv9lmcvj/iFbZ/Ea/1n8BsSUuBl8kG8dvuBT0inpP0E+DZ1HRHRCwCSMPlP0s2Ou7Lde66QdIism/aOwezZvBAgmZlli6J7R4RGyTtRzaa7/4RsbEV+n6c7LvIq1val3Vu3rMwK7+dgcfSl9YI+EZrBIVZa/KehVmJSDoeuLZO8ysRcWo56jFrCoeFmZnl8tVQZmaWy2FhZma5HBZmZpbLYWFmZrkcFmZmlsthYWZmuf4/7nVJsI2THDEAAAAASUVORK5CYII=\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "Convert the target variable 'Churn' in a binary numeric variable i.e. Yes=1 ; No = 0"
      ],
      "metadata": {
        "id": "Wm5cN0qGoZzg"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "telco_data['Churn'] = np.where(telco_data.Churn == 'Yes',1,0)\n",
        "telco_data.head()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 339
        },
        "id": "W94XsfYRoai9",
        "outputId": "3f800f78-a1c0-48d9-dd75-04cb51de6f09"
      },
      "execution_count": 18,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
              "\n",
              "  <div id=\"df-46cc8918-8085-4351-803e-1170d1b35b32\">\n",
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              "      <th>tenure_group</th>\n",
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              "      <td>Male</td>\n",
              "      <td>0</td>\n",
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              "      <td>No</td>\n",
              "      <td>No</td>\n",
              "      <td>No phone service</td>\n",
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              "      <td>Yes</td>\n",
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              "      <td>Yes</td>\n",
              "      <td>Yes</td>\n",
              "      <td>No</td>\n",
              "      <td>No</td>\n",
              "      <td>One year</td>\n",
              "      <td>No</td>\n",
              "      <td>Bank transfer (automatic)</td>\n",
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              "      <td>1840.75</td>\n",
              "      <td>0</td>\n",
              "      <td>37 - 48</td>\n",
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              "      <td>Female</td>\n",
              "      <td>0</td>\n",
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              "      <td>No</td>\n",
              "      <td>Yes</td>\n",
              "      <td>No</td>\n",
              "      <td>Fiber optic</td>\n",
              "      <td>No</td>\n",
              "      <td>No</td>\n",
              "      <td>No</td>\n",
              "      <td>No</td>\n",
              "      <td>No</td>\n",
              "      <td>No</td>\n",
              "      <td>Month-to-month</td>\n",
              "      <td>Yes</td>\n",
              "      <td>Electronic check</td>\n",
              "      <td>70.70</td>\n",
              "      <td>151.65</td>\n",
              "      <td>1</td>\n",
              "      <td>1 - 12</td>\n",
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              "    </div>\n",
              "  </div>\n",
              "  "
            ],
            "text/plain": [
              "   gender  SeniorCitizen Partner  ... TotalCharges Churn tenure_group\n",
              "0  Female              0     Yes  ...        29.85     0       1 - 12\n",
              "1    Male              0      No  ...      1889.50     0      25 - 36\n",
              "2    Male              0      No  ...       108.15     1       1 - 12\n",
              "3    Male              0      No  ...      1840.75     0      37 - 48\n",
              "4  Female              0      No  ...       151.65     1       1 - 12\n",
              "\n",
              "[5 rows x 20 columns]"
            ]
          },
          "metadata": {},
          "execution_count": 18
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "telco_data_dummies = pd.get_dummies(telco_data)\n",
        "telco_data_dummies.head()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 305
        },
        "id": "Mt-_ISZtodVc",
        "outputId": "2b8202f6-e7fd-4b19-9343-3a1b8e25a619"
      },
      "execution_count": 19,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
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              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>4</th>\n",
              "      <td>0</td>\n",
              "      <td>70.70</td>\n",
              "      <td>151.65</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>\n",
              "      <button class=\"colab-df-convert\" onclick=\"convertToInteractive('df-b6a8c0ef-9dbe-41bb-8662-f38c64e68ec8')\"\n",
              "              title=\"Convert this dataframe to an interactive table.\"\n",
              "              style=\"display:none;\">\n",
              "        \n",
              "  <svg xmlns=\"http://www.w3.org/2000/svg\" height=\"24px\"viewBox=\"0 0 24 24\"\n",
              "       width=\"24px\">\n",
              "    <path d=\"M0 0h24v24H0V0z\" fill=\"none\"/>\n",
              "    <path d=\"M18.56 5.44l.94 2.06.94-2.06 2.06-.94-2.06-.94-.94-2.06-.94 2.06-2.06.94zm-11 1L8.5 8.5l.94-2.06 2.06-.94-2.06-.94L8.5 2.5l-.94 2.06-2.06.94zm10 10l.94 2.06.94-2.06 2.06-.94-2.06-.94-.94-2.06-.94 2.06-2.06.94z\"/><path d=\"M17.41 7.96l-1.37-1.37c-.4-.4-.92-.59-1.43-.59-.52 0-1.04.2-1.43.59L10.3 9.45l-7.72 7.72c-.78.78-.78 2.05 0 2.83L4 21.41c.39.39.9.59 1.41.59.51 0 1.02-.2 1.41-.59l7.78-7.78 2.81-2.81c.8-.78.8-2.07 0-2.86zM5.41 20L4 18.59l7.72-7.72 1.47 1.35L5.41 20z\"/>\n",
              "  </svg>\n",
              "      </button>\n",
              "      \n",
              "  <style>\n",
              "    .colab-df-container {\n",
              "      display:flex;\n",
              "      flex-wrap:wrap;\n",
              "      gap: 12px;\n",
              "    }\n",
              "\n",
              "    .colab-df-convert {\n",
              "      background-color: #E8F0FE;\n",
              "      border: none;\n",
              "      border-radius: 50%;\n",
              "      cursor: pointer;\n",
              "      display: none;\n",
              "      fill: #1967D2;\n",
              "      height: 32px;\n",
              "      padding: 0 0 0 0;\n",
              "      width: 32px;\n",
              "    }\n",
              "\n",
              "    .colab-df-convert:hover {\n",
              "      background-color: #E2EBFA;\n",
              "      box-shadow: 0px 1px 2px rgba(60, 64, 67, 0.3), 0px 1px 3px 1px rgba(60, 64, 67, 0.15);\n",
              "      fill: #174EA6;\n",
              "    }\n",
              "\n",
              "    [theme=dark] .colab-df-convert {\n",
              "      background-color: #3B4455;\n",
              "      fill: #D2E3FC;\n",
              "    }\n",
              "\n",
              "    [theme=dark] .colab-df-convert:hover {\n",
              "      background-color: #434B5C;\n",
              "      box-shadow: 0px 1px 3px 1px rgba(0, 0, 0, 0.15);\n",
              "      filter: drop-shadow(0px 1px 2px rgba(0, 0, 0, 0.3));\n",
              "      fill: #FFFFFF;\n",
              "    }\n",
              "  </style>\n",
              "\n",
              "      <script>\n",
              "        const buttonEl =\n",
              "          document.querySelector('#df-b6a8c0ef-9dbe-41bb-8662-f38c64e68ec8 button.colab-df-convert');\n",
              "        buttonEl.style.display =\n",
              "          google.colab.kernel.accessAllowed ? 'block' : 'none';\n",
              "\n",
              "        async function convertToInteractive(key) {\n",
              "          const element = document.querySelector('#df-b6a8c0ef-9dbe-41bb-8662-f38c64e68ec8');\n",
              "          const dataTable =\n",
              "            await google.colab.kernel.invokeFunction('convertToInteractive',\n",
              "                                                     [key], {});\n",
              "          if (!dataTable) return;\n",
              "\n",
              "          const docLinkHtml = 'Like what you see? Visit the ' +\n",
              "            '<a target=\"_blank\" href=https://colab.research.google.com/notebooks/data_table.ipynb>data table notebook</a>'\n",
              "            + ' to learn more about interactive tables.';\n",
              "          element.innerHTML = '';\n",
              "          dataTable['output_type'] = 'display_data';\n",
              "          await google.colab.output.renderOutput(dataTable, element);\n",
              "          const docLink = document.createElement('div');\n",
              "          docLink.innerHTML = docLinkHtml;\n",
              "          element.appendChild(docLink);\n",
              "        }\n",
              "      </script>\n",
              "    </div>\n",
              "  </div>\n",
              "  "
            ],
            "text/plain": [
              "   SeniorCitizen  MonthlyCharges  ...  tenure_group_49 - 60  tenure_group_61 - 72\n",
              "0              0           29.85  ...                     0                     0\n",
              "1              0           56.95  ...                     0                     0\n",
              "2              0           53.85  ...                     0                     0\n",
              "3              0           42.30  ...                     0                     0\n",
              "4              0           70.70  ...                     0                     0\n",
              "\n",
              "[5 rows x 51 columns]"
            ]
          },
          "metadata": {},
          "execution_count": 19
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "Relationship between Monthly Charges and Total Charges"
      ],
      "metadata": {
        "id": "Ro2d6MH6yGcm"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "sns.lmplot(data=telco_data_dummies, x='MonthlyCharges', y='TotalCharges', fit_reg=False)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 386
        },
        "id": "AMHghm3-xfh0",
        "outputId": "eddbda33-3b17-40c9-e113-61366794aa00"
      },
      "execution_count": 20,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<seaborn.axisgrid.FacetGrid at 0x7fecb2119c90>"
            ]
          },
          "metadata": {},
          "execution_count": 20
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 360x360 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "Churn by Monthly Charges and Total Charges"
      ],
      "metadata": {
        "id": "uksFTYiu1M0G"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "Mth = sns.kdeplot(telco_data_dummies.MonthlyCharges[(telco_data_dummies[\"Churn\"] == 0) ],\n",
        "                color=\"Red\", shade = True)\n",
        "Mth = sns.kdeplot(telco_data_dummies.MonthlyCharges[(telco_data_dummies[\"Churn\"] == 1) ],\n",
        "                ax =Mth, color=\"black\", shade= True)\n",
        "Mth.legend([\"No Churn\",\"Churn\"],loc='upper right')\n",
        "Mth.set_ylabel('Density')\n",
        "Mth.set_xlabel('Monthly Charges')\n",
        "Mth.set_title('Monthly charges by churn')"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 312
        },
        "id": "aEfUBIshyLNU",
        "outputId": "0c91e72a-8d56-4691-b329-c248699f7f42"
      },
      "execution_count": 21,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "Text(0.5, 1.0, 'Monthly charges by churn')"
            ]
          },
          "metadata": {},
          "execution_count": 21
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "Tot = sns.kdeplot(telco_data_dummies.TotalCharges[(telco_data_dummies[\"Churn\"] == 0) ],\n",
        "                color=\"Red\", shade = True)\n",
        "Tot = sns.kdeplot(telco_data_dummies.TotalCharges[(telco_data_dummies[\"Churn\"] == 1) ],\n",
        "                ax =Tot, color=\"black\", shade= True)\n",
        "Tot.legend([\"No Churn\",\"Churn\"],loc='upper right')\n",
        "Tot.set_ylabel('Density')\n",
        "Tot.set_xlabel('Total Charges')\n",
        "Tot.set_title('Total charges by churn')"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 312
        },
        "id": "JBUi3w1I1PZe",
        "outputId": "bdbe55d1-e110-45be-9d06-5407165863f5"
      },
      "execution_count": 22,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "Text(0.5, 1.0, 'Total charges by churn')"
            ]
          },
          "metadata": {},
          "execution_count": 22
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "Surprising insight as higher Churn at lower Total Charges\n",
        "\n",
        "However if we combine the insights of 3 parameters i.e. Tenure, Monthly Charges & Total Charges then the picture is bit clear :- Higher Monthly Charge at lower tenure results into lower Total Charge. Hence, all these 3 factors viz Higher Monthly Charge, Lower tenure and Lower Total Charge are linked to High Churn."
      ],
      "metadata": {
        "id": "kjYI8SWfbIpw"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Build a corelation of all predictors with 'Churn'"
      ],
      "metadata": {
        "id": "17o5vjLQbSb-"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "plt.figure(figsize=(20,8))\n",
        "telco_data_dummies.corr()['Churn'].sort_values(ascending = False).plot(kind='bar')"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 678
        },
        "id": "yYWsNvAEbYQO",
        "outputId": "ff749710-9086-41fb-a704-0bf3d3821fe9"
      },
      "execution_count": 23,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.axes._subplots.AxesSubplot at 0x7feca97ded10>"
            ]
          },
          "metadata": {},
          "execution_count": 23
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 1440x576 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "Derived Insight:\n",
        "\n",
        "HIGH Churn seen in case of Month to month contracts, No online security, No Tech support, First year of subscription and Fibre Optics Internet\n",
        "\n",
        "LOW Churn is seens in case of Long term contracts, Subscriptions without internet service and The customers engaged for 5+ years\n",
        "\n",
        "Factors like Gender, Availability of PhoneService and # of multiple lines have alomost NO impact on Churn\n",
        "\n",
        "This is also evident from the Heatmap below"
      ],
      "metadata": {
        "id": "lCfNjN6Ubg8f"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "plt.figure(figsize=(12,12))\n",
        "sns.heatmap(telco_data_dummies.corr(), cmap=\"Paired\")"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 926
        },
        "id": "zRBW0ez_bhbd",
        "outputId": "52375467-6213-4543-ee35-cd960e7fa668"
      },
      "execution_count": 24,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.axes._subplots.AxesSubplot at 0x7fecb25c7410>"
            ]
          },
          "metadata": {},
          "execution_count": 24
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 864x864 with 2 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "new_df1_target0=telco_data.loc[telco_data[\"Churn\"]==0]\n",
        "new_df1_target1=telco_data.loc[telco_data[\"Churn\"]==1]"
      ],
      "metadata": {
        "id": "aHrl7Rk2bk-K"
      },
      "execution_count": 25,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "def uniplot(df,col,title,hue =None):\n",
        "    \n",
        "    sns.set_style('whitegrid')\n",
        "    sns.set_context('talk')\n",
        "    plt.rcParams[\"axes.labelsize\"] = 20\n",
        "    plt.rcParams['axes.titlesize'] = 22\n",
        "    plt.rcParams['axes.titlepad'] = 30\n",
        "    \n",
        "    \n",
        "    temp = pd.Series(data = hue)\n",
        "    fig, ax = plt.subplots()\n",
        "    width = len(df[col].unique()) + 7 + 4*len(temp.unique())\n",
        "    fig.set_size_inches(width , 8)\n",
        "    plt.xticks(rotation=45)\n",
        "    plt.yscale('log')\n",
        "    plt.title(title)\n",
        "    ax = sns.countplot(data = df, x= col, order=df[col].value_counts().index,hue = hue,palette='bright') \n",
        "        \n",
        "    plt.show()"
      ],
      "metadata": {
        "id": "nITpOeUYbrJN"
      },
      "execution_count": 26,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "uniplot(new_df1_target1,col='Partner',title='Distribution of Gender for Churned Customers',hue='gender')"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 579
        },
        "id": "blJzlTR5btoh",
        "outputId": "b1b74b70-fc3a-444c-bf75-8e5318b5cfb4"
      },
      "execution_count": 27,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 936x576 with 1 Axes>"
            ]
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "uniplot(new_df1_target0,col='Partner',title='Distribution of Gender for Non Churned Customers',hue='gender')"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 579
        },
        "id": "3coyTgrXbv3H",
        "outputId": "1241073e-b6c4-4a84-eb63-c0324d2d2e59"
      },
      "execution_count": 28,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 936x576 with 1 Axes>"
            ]
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "uniplot(new_df1_target1,col='PaymentMethod',title='Distribution of PaymentMethod for Churned Customers',hue='gender')"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 711
        },
        "id": "NyiRyVcWb0mH",
        "outputId": "be81c57d-8778-4a82-a862-3fd917e73e6c"
      },
      "execution_count": 29,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 1080x576 with 1 Axes>"
            ]
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "uniplot(new_df1_target1,col='Contract',title='Distribution of Contract for Churned Customers',hue='gender')"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 655
        },
        "id": "mfPKOujvb5Fu",
        "outputId": "f02f97c4-8296-4d9c-fc77-8796b751262a"
      },
      "execution_count": 30,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 1008x576 with 1 Axes>"
            ]
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "uniplot(new_df1_target1,col='TechSupport',title='Distribution of TechSupport for Churned Customers',hue='gender')"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 671
        },
        "id": "aUqHzJ1jb9HZ",
        "outputId": "ca9bcbdf-40d6-4d18-de01-ed9a2a2babba"
      },
      "execution_count": 31,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 1008x576 with 1 Axes>"
            ]
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "uniplot(new_df1_target1,col='SeniorCitizen',title='Distribution of SeniorCitizen for Churned Customers',hue='gender')"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 567
        },
        "id": "ItswqF_5cB9o",
        "outputId": "a8721b18-ad14-4001-8dad-fb85a11b60a6"
      },
      "execution_count": 32,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 936x576 with 1 Axes>"
            ]
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "# CONCLUSION\n",
        "These are some of the quick insights :\n",
        "\n",
        "## Electronic check medium are the highest churners\n",
        "## Contract Type - Monthly customers are more likely to churn because of no contract terms, as they are free to go customers.\n",
        "## No Online security, No Tech Support category are high churners\n",
        "## Non senior Citizens are high churners"
      ],
      "metadata": {
        "id": "_XzQiZSucIZf"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "telco_data_dummies.to_csv('tel_churn.csv')"
      ],
      "metadata": {
        "id": "9hijKDFlcMZr"
      },
      "execution_count": 33,
      "outputs": []
    }
  ]
}