{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Introduction \n",
"## Customer Churn Prediction"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Customer attrition or churn, is when customers stop doing business with a company. It can have a significant impact on a company's revenue and it's crucial for businesses to find out the reasons why customers are leaving and take steps to reduce the number of customers leaving. One way to do this is by identifying customer segments that are at risk of leaving, and implementing retention strategies to keep them. Also, by using data and machine learning techniques, companies can predict which customers are likely to leave in the future and take actions to keep them before they decide to leave.\n",
"\n",
"We are going to build a basic model for predicting customer churn using [Telco Customer Churn dataset](https://www.kaggle.com/blastchar/telco-customer-churn). We are using some classification algorithm to model customers who have left, using Python tools such as pandas for data manipulation and matplotlib for visualizations.\n",
"\n",
"\n",
"Let's get started."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Steps Involved to Predict Customer Churn\n",
"- Importing Libraries\n",
"- Loading Dataset\n",
"- Exploratory Data Analysis\n",
"- Outliers using IQR method\n",
"- Cleaning and Transforming Data\n",
" - One-hot Encoding\n",
" - Rearranging Columns\n",
" - Feature Scaling\n",
" - Feature Selection\n",
"- Prediction using Logistic Regression\n",
"- Prediction using Support Vector Classifier\n",
"- Prediction using Decision Tree Classifier\n",
"- Prediction using KNN Classifier"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Importing Libraries\n",
"\n",
"First of all, we will import knwon necessary libraries."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"#import platform\n",
"import pandas as pd\n",
"import sklearn\n",
"import numpy as np\n",
"#import graphviz\n",
"import seaborn as sns\n",
"import matplotlib\n",
"import matplotlib.pyplot as plt\n",
"# import plotly.express as px\n",
"# import plotly.graph_objects as go\n",
"\n",
"%matplotlib inline"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Loading Dataset\n",
"We use pandas to read the dataset and preprocess it."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(7043, 21)"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df = pd.read_csv('WA_Fn-UseC_-Telco-Customer-Churn.csv')\n",
"df.shape"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Exploratory Data Analysis"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
"text/html": [
"
\n",
"\n",
"
\n",
" \n",
"
\n",
"
\n",
"
customerID
\n",
"
gender
\n",
"
SeniorCitizen
\n",
"
Partner
\n",
"
Dependents
\n",
"
tenure
\n",
"
PhoneService
\n",
"
MultipleLines
\n",
"
InternetService
\n",
"
OnlineSecurity
\n",
"
...
\n",
"
DeviceProtection
\n",
"
TechSupport
\n",
"
StreamingTV
\n",
"
StreamingMovies
\n",
"
Contract
\n",
"
PaperlessBilling
\n",
"
PaymentMethod
\n",
"
MonthlyCharges
\n",
"
TotalCharges
\n",
"
Churn
\n",
"
\n",
" \n",
" \n",
"
\n",
"
0
\n",
"
7590-VHVEG
\n",
"
Female
\n",
"
0
\n",
"
Yes
\n",
"
No
\n",
"
1
\n",
"
No
\n",
"
No phone service
\n",
"
DSL
\n",
"
No
\n",
"
...
\n",
"
No
\n",
"
No
\n",
"
No
\n",
"
No
\n",
"
Month-to-month
\n",
"
Yes
\n",
"
Electronic check
\n",
"
29.85
\n",
"
29.85
\n",
"
No
\n",
"
\n",
"
\n",
"
1
\n",
"
5575-GNVDE
\n",
"
Male
\n",
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0
\n",
"
No
\n",
"
No
\n",
"
34
\n",
"
Yes
\n",
"
No
\n",
"
DSL
\n",
"
Yes
\n",
"
...
\n",
"
Yes
\n",
"
No
\n",
"
No
\n",
"
No
\n",
"
One year
\n",
"
No
\n",
"
Mailed check
\n",
"
56.95
\n",
"
1889.5
\n",
"
No
\n",
"
\n",
"
\n",
"
2
\n",
"
3668-QPYBK
\n",
"
Male
\n",
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0
\n",
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No
\n",
"
No
\n",
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2
\n",
"
Yes
\n",
"
No
\n",
"
DSL
\n",
"
Yes
\n",
"
...
\n",
"
No
\n",
"
No
\n",
"
No
\n",
"
No
\n",
"
Month-to-month
\n",
"
Yes
\n",
"
Mailed check
\n",
"
53.85
\n",
"
108.15
\n",
"
Yes
\n",
"
\n",
"
\n",
"
3
\n",
"
7795-CFOCW
\n",
"
Male
\n",
"
0
\n",
"
No
\n",
"
No
\n",
"
45
\n",
"
No
\n",
"
No phone service
\n",
"
DSL
\n",
"
Yes
\n",
"
...
\n",
"
Yes
\n",
"
Yes
\n",
"
No
\n",
"
No
\n",
"
One year
\n",
"
No
\n",
"
Bank transfer (automatic)
\n",
"
42.30
\n",
"
1840.75
\n",
"
No
\n",
"
\n",
"
\n",
"
4
\n",
"
9237-HQITU
\n",
"
Female
\n",
"
0
\n",
"
No
\n",
"
No
\n",
"
2
\n",
"
Yes
\n",
"
No
\n",
"
Fiber optic
\n",
"
No
\n",
"
...
\n",
"
No
\n",
"
No
\n",
"
No
\n",
"
No
\n",
"
Month-to-month
\n",
"
Yes
\n",
"
Electronic check
\n",
"
70.70
\n",
"
151.65
\n",
"
Yes
\n",
"
\n",
" \n",
"
\n",
"
5 rows × 21 columns
\n",
"
"
],
"text/plain": [
" customerID gender SeniorCitizen Partner Dependents tenure PhoneService \\\n",
"0 7590-VHVEG Female 0 Yes No 1 No \n",
"1 5575-GNVDE Male 0 No No 34 Yes \n",
"2 3668-QPYBK Male 0 No No 2 Yes \n",
"3 7795-CFOCW Male 0 No No 45 No \n",
"4 9237-HQITU Female 0 No No 2 Yes \n",
"\n",
" MultipleLines InternetService OnlineSecurity ... DeviceProtection \\\n",
"0 No phone service DSL No ... No \n",
"1 No DSL Yes ... Yes \n",
"2 No DSL Yes ... No \n",
"3 No phone service DSL Yes ... Yes \n",
"4 No Fiber optic No ... No \n",
"\n",
" TechSupport StreamingTV StreamingMovies Contract PaperlessBilling \\\n",
"0 No No No Month-to-month Yes \n",
"1 No No No One year No \n",
"2 No No No Month-to-month Yes \n",
"3 Yes No No One year No \n",
"4 No No No Month-to-month Yes \n",
"\n",
" PaymentMethod MonthlyCharges TotalCharges Churn \n",
"0 Electronic check 29.85 29.85 No \n",
"1 Mailed check 56.95 1889.5 No \n",
"2 Mailed check 53.85 108.15 Yes \n",
"3 Bank transfer (automatic) 42.30 1840.75 No \n",
"4 Electronic check 70.70 151.65 Yes \n",
"\n",
"[5 rows x 21 columns]"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df.head()"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"execution": {
"iopub.execute_input": "2021-11-09T03:52:43.018231Z",
"iopub.status.busy": "2021-11-09T03:52:43.017819Z",
"iopub.status.idle": "2021-11-09T03:52:43.052282Z",
"shell.execute_reply": "2021-11-09T03:52:43.051336Z",
"shell.execute_reply.started": "2021-11-09T03:52:43.018175Z"
}
},
"outputs": [
{
"data": {
"text/html": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"df[numerical_features].hist(bins=30, figsize=(10, 7))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We look at distributions of numerical features in relation to the target variable. We can observe that the greater TotalCharges and tenure are the less is the probability of churn."
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([,\n",
" ,\n",
" ], dtype=object)"
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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s2bNdV844nc1MV85t/fnPfz5tDM5x89Zbb9UVV1yhN998U8XFxfrzn/+sxx57TG+88Ua9n0EHAE1h3LhxKiws1Pjx42WxWBQZGamgoCANGzasxjH1ZCcf571R13G+urpagwYN0oEDBzRp0iR16dJFERER2rNnj+64444abQoNDVVwcP1uqHFu67e//e1pE/jdu3eXdCJRtmPHDi1btkwrVqzQ66+/rqefflpTpkzRtGnT6rV/NA+SOvAbtSVbLrjgAhmGoaSkJP3yl79skP04s+vl5eVu5Z58M3Byuz799FMNHDjwtEkiAPBXN910k373u99pw4YN+sc//lFrncTERK1cuVKHDh1y+8b1iy++cC33VmMeT0eMGKG8vDzt3btXRUVFyszMdI0HkjR48GC1atVKL7/8stcPSz6Td955R5WVlXr77bfdvu315jbdxMREbd++XYZhuPXRqbOvOG9NM5vNSktLq3O7HTt21N133627775b+/bt069+9SvNnDmTpA6ARuPN2HG6MeG1115TTk6O/vKXv7jKjh07VuOz/al++ctf6uKLL9Zbb72lJ598ssaXw/W1detWffnll3rxxRc1YsQIV/nJM0nWJTExUQ6HQ7t27XK7Q+HU4/y5556rdu3aqbq62qPjfEREhG677Tbddtttqqqq0tChQzVz5kzl5+crLCzM4/ahefFMHfiNiIgISe7JlqFDh6pVq1aaNm1ajW9iDcPQ/v37vd6P80Pv2rVrXWXV1dWnvYSxNrfeeqv27Nmj5557rsayn376SUeOHPG6XQDgK9q2basFCxZo6tSpGjJkSK11rr32WlVXV+upp55yK589e7aCgoLqlRiobRxoKLfffruCgoJ077336uuvv3Z7/pp04grLUaNGqbi4WPPmzauxvsPh0F/+8hd9//33Xu3X+Q3vqbcHFBYWeryNjIwM7dmzR2+//bar7NixYzXGoNTUVF1wwQV6/PHHdfjw4Rrb+e9//yvpxJh36u0AMTExio+PV2VlpcftAgBveTN2RERE1DoetGrVqsZ5wbx580571f3Jpk2bpv379+v//u//dPz48RrLi4uLtWzZMg+j+bk9kvtx3jAMPfnkkx5vw/kstaefftqt/NTxqFWrVsrKytLrr7+uzz77rMZ2nMd5STXOk0JCQpScnCzDMGS32z1uG5ofV+rAb6SmpkqS/vSnP2nYsGEymUwaMmSIHn74YeXn5+ubb77RjTfeqHbt2mnXrl168803NXr0aP3xj3/0aj/dunVT3759lZ+frwMHDig6OlqvvPJKrQf20xk+fLheffVV/f73v9eHH36ofv36qbq6Wl988YVeffVVvf/+++rdu7dX7QIAX3Km57JI0pAhQ3T11VfrT3/6k7755hv16NFDxcXFeuuttzR+/Hi3Bxp76nTjgDPZczbOPfdcXXPNNVqyZImioqJqnSb2L3/5i/7zn//onnvu0RtvvKHrrrtO7du31+7du7VkyRJ98cUXGjZsmFf7TU9PV0hIiIYMGaLf/e53Onz4sJ577jnFxMRo7969Hm3jd7/7nZ566indfvvtuvfee9WxY0ctXrzY9S2r89vs4OBg/fWvf9XgwYPVrVs33XnnnTrvvPO0Z88effjhhzKbzXrnnXd06NAhderUSTfffLN69Oihtm3bauXKldq8ebPbN98A0NC8GTtSU1O1cuVKPfHEE4qPj1dSUpL69Omj6667Tn/7298UGRmp5ORklZSUaOXKlerQoUOd+7/tttu0detWzZw5U5988oluv/12JSYmav/+/VqxYoVWrVqloqIir2Lq0qWLLrjgAv3xj3/Unj17ZDab9frrr3v1zLjU1FRlZWVpzpw52r9/v2tK8y+//FKS+1VLjz76qD788EP16dNHo0aNUnJysg4cOKB//etfWrlypQ4cOCDpxPgTFxenfv36KTY2Vp9//rmeeuopZWZmev2waDSzJp1rCzhLM2bMMM477zwjODjYbUra119/3ejfv78RERFhREREGF26dDFyc3ONHTt2uNb99a9/Xeu0fTk5OUZiYqJb2X/+8x8jLS3NCA0NNWJjY40HHnjAsFqttU5pfrqpAKuqqozHHnvM6NatmxEaGmq0b9/eSE1NNaZNm2YcPHjwrPsCAJrKyVOan8nJU5obhmEcOnTImDBhghEfH2+YTCbjoosuMv785z+7TadtGCemI69t+uzExMQa09WebhzwdBunTml+sldffdWQZIwePfq0MR4/ftz461//alxxxRVGZGSkYTKZjMTEROPOO+90m+7cOaX5f//7X7f1a9v/22+/bXTv3t0ICwszzj//fOOxxx4zXnjhhRr1Tu3fk3399ddGZmam0aZNG+Pcc881/vCHPxivv/66IcnYsGGDW91PPvnEGDp0qNGhQwcjNDTUSExMNG699VZj1apVhmEYRmVlpTFx4kSjR48eRrt27YyIiAijR48extNPP33afgGA+jh1SnPD8Hzs+OKLL4wrr7zSaNOmjSHJdaz/8ccfjTvvvNM455xzjLZt2xoZGRnGF198UWM8OHVK85OtWrXKuOGGG4yYmBijdevWxrnnnmsMGTLEeOutt2qsv2TJErd1d+3aZUgyCgsLXWXbt2830tLSjLZt2xrnnHOOMWrUKOPTTz+tUS8nJ8eIiIiota+OHDli5ObmGtHR0Ubbtm2NG2+80dixY4chyXj00Ufd6paVlRm5ublGQkKCYTKZjLi4OGPgwIHGs88+66rzzDPPGFdeeaVrLLjggguMiRMncp7ih4IMw4snEAIAAASot956SzfeeKPWrl3rmpLWn82ZM0cTJkzQ999/r/POO6+5mwMAaGBbtmxRr1699PLLLys7O7u5m4NmQlIHAABA0nXXXafPP/9cX331ld895P6nn35ymxnr2LFj6tWrl6qrq12X5wMA/Nepx3lJuuOOO/S3v/1N33zzDbPrtmA8UwcAALRor7zyiv7973/r3Xff1ZNPPul3CR3pxMQBnTt3Vs+ePXXw4EG9/PLL+uKLL7R48eLmbhoAoAHMmjVLpaWluvrqq9W6dWu99957eu+99zR69GgSOi0cV+oAAIAWLSgoSG3bttVtt92mhQsXqnVr//vOa86cOfrrX/+qb775RtXV1UpOTtZ9992n2267rbmbBgBoAFarVdOmTdP27dt1+PBhde7cWcOHD9ef/vQnvxy30HBI6gAAAAAAAPih4OZuAAAAAAAAALxHUgcAAAAAAMAP+eXNdw6HQz/88IPatWvnlw8zBNCyGIahQ4cOKT4+XsHB5NIbE+MDAH/C+NB0GB8A+BNvxge/TOr88MMPPOEbgN/57rvv1KlTp+ZuRkBjfADgjxgfGh/jAwB/5Mn44JdJnXbt2kk6EaDZbPZ4PbvdruLiYqWnp8tkMjVW8wIG/eUd+ss7Lam/KioqlJCQ4Dp2ofHUd3w4VSC/PwM1tkCNSwrc2AI1Lsnz2Bgfmk59xodAfo/WhdhbZuxSy47fl2L3Znzwy6SO85JJs9nsdVInPDxcZrO52X9J/oD+8g795Z2W2F9c7t346js+nCqQ35+BGlugxiUFbmyBGpfkfWyMD42vPuNDIL9H60LsLTN2qWXH74uxezI+cPMuAAAAAACAHyKpAwAAAAAA4IdI6gAAAAAAAPghkjoAAAAAAAB+iKQOAAAAAACAHyKpAwAAAAAA4IdI6gAAAAAAAPghkjoAAAAAAAB+iKQOAAAAAACAHyKpAwAAAAAA4IdI6gAAAAAAAPghkjoAAAAAAAB+qHVzNwAAfMnUqQ1TB/7n5N9rcLDUo4dUUCA5HLXXAQC0DKeOBbVhfADQXLhSBwAAAAAAwA+R1AEAAAAAAPBDJHUAAAAAAAD8EEkdAAAAAAAAP0RSBwAAAAAAwA+R1AEAAAAAAPBDJHUAAAAANIrq6mo9+OCDSkpKUps2bXTBBRdoxowZMgzDVccwDE2ZMkUdO3ZUmzZtlJaWpp07d7pt58CBA8rOzpbZbFZUVJRGjhypw4cPN3U4AOBzSOoAAAAAaBSPPfaYFixYoKeeekqff/65HnvsMc2aNUvz5s1z1Zk1a5bmzp2rhQsXauPGjYqIiFBGRoaOHTvmqpOdna1t27bJarVq2bJlWrt2rUaPHt0cIQGAT/E6qbNnzx799re/VYcOHdSmTRulpKTo448/di0n0w4AAABAktavX68bbrhBmZmZOv/883XzzTcrPT1dmzZtknTi3GHOnDmaPHmybrjhBnXv3l0vvfSSfvjhBy1dulSS9Pnnn2vFihX661//qj59+qh///6aN2+eXnnlFf3www/NGB0AND+vkjo//vij+vXrJ5PJpPfee0/bt2/XX/7yF7Vv395Vh0w7AAAAAEm6/PLLtWrVKn355ZeSpE8//VTr1q3T4MGDJUm7du2SzWZTWlqaa53IyEj16dNHJSUlkqSSkhJFRUWpd+/erjppaWkKDg7Wxo0bmzAaAPA9rb2p/NhjjykhIUGFhYWusqSkJNf/T820S9JLL72k2NhYLV26VMOGDXNl2jdv3uw6MM+bN0/XXnutHn/8ccXHxzdEXAAAAACa2f3336+Kigp16dJFrVq1UnV1tWbOnKns7GxJks1mkyTFxsa6rRcbG+taZrPZFBMT47a8devWio6OdtU5VWVlpSorK12vKyoqJEl2u112u92jtjvrBQfXXd/DTfoNZ+ye9lUgacmxSy07fl+K3Zs2eJXUefvtt5WRkaFbbrlFa9as0Xnnnae7775bo0aNklR3pn3YsGF1ZtpvuummGvttiIOys/7J/+LM6C/v0F/e8dX+Cvbg+kVvm+xrMQIA0FReffVVLV68WEVFRerWrZu2bNmi8ePHKz4+Xjk5OY2234KCAk2bNq1GeXFxscLDw73aVkqKtc46y5d7tUm/YbXWHXugasmxSy07fl+I/ejRox7X9Sqp8/XXX2vBggXKy8vTAw88oM2bN+uee+5RSEiIcnJyGi3T3pAHZck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EhDRHaF4jqQEAAICmQlIHANDgDh48KEmKjo6WJJWWlsputystLc1Vp0uXLurcubNKSkrUt29flZSUKCUlRbGxsa46GRkZGjNmjLZt26ZevXrV2E9lZaUqKytdrysqKiRJdrtddrvdqzYHB5/8f7vbv06ebDLYgxubvWxag3L2i7f946nmir+x45KaNraGej96u68zaeiubYrfWXPxNLZAjB0A0LRI6gA+jm/04W8cDofGjx+vfv366ZJLLpEk2Ww2hYSEKCoqyq1ubGysbDabq87JCR3ncuey2hQUFGjatGk1youLixUeHu5Vu3v0qFmWkmJ1e718ef22cypPttPYrFZr3ZXqobnjb6y4pKaNraHej/XdV20a6/fWmL+z5lZXbEePHm2ilgAAAhVJnQDCyT8AX5Cbm6vPPvtM69ata/R95efnKy8vz/W6oqJCCQkJSk9Pl9ls9mpbBQU//z842K6UFKu2bh0kh8N00v68287peLKdxmK322W1WjVo0CCZTKa6V/BSc8Xf2HFJTRtbQ70fvd3XmTT0760pfmfNxdPYnFcXAgBQXyR1AAANZuzYsVq2bJnWrl2rTp06ucrj4uJUVVWl8vJyt6t1ysrKFBcX56qzadMmt+05Z8dy1jlVaGioQkNDa5SbTCavTxIdjtrKTG4n0Z5ssrbtnMoXzl/r00eeaMr4T/4yIzj4xBUnjz/u/jtryC88mjK2hno/1ndftWno39vpfmcn1/F3df2dBVoyCwDQ9Lye0nzt2rUaMmSI4uPjFRQUpKVLl7otNwxDU6ZMUceOHdWmTRulpaVp586dbnUOHDig7Oxsmc1mRUVFaeTIkTp8+PBZBQIAaD6GYWjs2LF688039cEHHygpKclteWpqqkwmk1atWuUq27Fjh3bv3i2LxSJJslgs2rp1q/bt2+eqY7VaZTablZyc3DSBAAAAl4KCE0nWM/0AaF5eX6lz5MgR9ejRQ3fddZeGDh1aY/msWbM0d+5cvfjii0pKStKDDz6ojIwMbd++XWFhYZKk7Oxs7d27V1arVXa7XXfeeadGjx6toqKis48IgE+oa5B3fkOLwJCbm6uioiK99dZbateunesZOJGRkWrTpo0iIyM1cuRI5eXlKTo6WmazWePGjZPFYlHfvn0lSenp6UpOTtbw4cM1a9Ys2Ww2TZ48Wbm5ubVejQMAgD+5avXUOuusvqruOmgYp/us6vyMWlAgTZnSpE0C6sXrpM7gwYM1ePDgWpcZhqE5c+Zo8uTJuuGGGyRJL730kmJjY7V06VINGzZMn3/+uVasWKHNmzerd+/ekqR58+bp2muv1eOPP674+PizCAcA0BwWLFggSbrqqqvcygsLC3XHHXdIkmbPnq3g4GBlZWWpsrJSGRkZevrpp111W7VqpWXLlmnMmDGyWCyKiIhQTk6Opk+f3lRhADgDT76R51t7AACaVoM+U2fXrl2y2WxuU9ZGRkaqT58+Kikp0bBhw1RSUqKoqChXQkeS0tLSFBwcrI0bN+qmm25qyCbBx/HhDwgMhmHUWScsLEzz58/X/PnzT1snMTFRy31haiignpoy8UGSBQAANGhSx3m5fW1T0p48ZW1MTIx7I1q3VnR09GmnrK2srFRlZaXrtXOmALvdLrvd7nH7nHWDg39exwjx+rFC9Xbyfn2Zs0ud/VVbHwc3Xbd5zJO3QkO1u7Z9ndpfnuyrKdvsa5x/D/7yd3EyLw47/7++/8UIAADgiYZMMAdqsjpQ44Jv8IvZrwoKCjRt2rQa5cXFxQoPD/d6eykpVtf/K5rwoR495B/fPp/6JbnVaq1RxxefheLJl/sN1e4z7cvZX57sqynb7KtO/nv0F95eSHL06NHGaQiaHB+4AAAA4EsaNKnjnHK2rKxMHTt2dJWXlZWpZ8+erjonz2wiScePH9eBAwdOO2Vtfn6+8vLyXK8rKiqUkJCg9PR0mc1mj9tnt9tltVq1desg19SZV6wr8Hj9s/XP/vkNsh1P2twQ+woOtislxb2/cEJ+Ld3rfH8NGjRIJpNJBU331vJL/vz+qu33fybOqwsBAJ7hW20AADzToEmdpKQkxcXFadWqVa4kTkVFhTZu3KgxY8ZIOjFlbXl5uUpLS5WamipJ+uCDD+RwONSnT59atxsaGlrrzCcmk0kmk/cngw6HyXUSGVTl8Hr9+mqoE1dP2tyQJ8kn9xdOONPbzvm+dDTdW8uv+eP7y9vDTn2OUwAAAABQF6+TOocPH9ZXX33ler1r1y5t2bJF0dHR6ty5s8aPH6+HH35YF110kWtK8/j4eN14442SpK5du+qaa67RqFGjtHDhQtntdo0dO1bDhg1j5iv4jdq+HTx5+kMSOgCAs3Hy1MdGSLAqevTQFesK3L7YYepjIPAE6rTnDXllHQ+kB9x5ndT5+OOPdfXVV7teO2+LysnJ0aJFi3TffffpyJEjGj16tMrLy9W/f3+tWLFCYWFhrnUWL16ssWPHauDAga7pbefOndsA4fi2QD1IAwAAAAB8A8molsXrpM5VV111xqlrg4KCNH36dE2fPv20daKjo1VUVOTtrgEAAAAAOCMSFmhJ/GL2KwAAEDj89RtEf7zi1hf7EQDQ/E43Ppz8SIkpU5q0Sain4OZuAAAAAIDAtHbtWg0ZMkTx8fEKCgrS0qVL3ZYbhqEpU6aoY8eOatOmjdLS0rRz5063OgcOHFB2drbMZrOioqI0cuRIHT58uAmjAADfxZU6AAAATciTq2euauxGAE3kyJEj6tGjh+666y4NHTq0xvJZs2Zp7ty5evHFF12TrGRkZGj79u2uZ3JmZ2dr7969slqtstvtuvPOOzV69Gge5wCfwBWRaG4kdQAAANA0pk7VVatP/LcpZvXy11v9AsngwYM1ePDgWpcZhqE5c+Zo8uTJuuGGGyRJL730kmJjY7V06VINGzZMn3/+uVasWKHNmzerd+/ekqR58+bp2muv1eOPP87suQBaPJI6AAAAAJrcrl27ZLPZlJaW5iqLjIxUnz59VFJSomHDhqmkpERRUVGuhI4kpaWlKTg4WBs3btRNN91U67YrKytVWVnpel1RUSFJstvtstvtHrXPWc8w+dYTK4KDPWt/Q+yjKfbla5ordg/fliooqLtO8Fm8ZU+O39M2BQrn37ynx4jG5E0bSOoAAACfw9UTQOCz2WySpNjYWLfy2NhY1zKbzaaYmBi35a1bt1Z0dLSrTm0KCgo0bdq0GuXFxcUKDw/3qp2HRqd4Vb+x9dDyJttXSoq1yfbla5o69uUe/lp79GjcdjilpFg9blOgsVqb/31/9OhRj+uS1AEAAIDfIfGHM8nPz1deXp7rdUVFhRISEpSeni6z2ezRNux2u6xWq9o9u1VBdkfdKzSRf/bPb/R9BAfblZJi1datg+RwmBp9f76kJccuucc/aVLLit/5Nz9o0CCZTM0bu/PqQk+Q1AEAAGgg/jjteUOqK9HifJ4OIElxcXGSpLKyMnXs2NFVXlZWpp49e7rq7Nu3z22948eP68CBA671axMaGqrQ0NAa5SaTyeuTtSC7w+25T82tKRMNDoepRSY2pJYdu3Qi/uZObDSX+hwnGqMNniKp42M8+TAIAADQUFp6IgrNJykpSXFxcVq1apUriVNRUaGNGzdqzJgxkiSLxaLy8nKVlpYqNTVVkvTBBx/I4XCoT58+zdV0oEXgYfP+gaQOAAAIWHwgBZrX4cOH9dVXX7le79q1S1u2bFF0dLQ6d+6s8ePH6+GHH9ZFF13kmtI8Pj5eN954oySpa9euuuaaazRq1CgtXLhQdrtdY8eO1bBhw5j5CvABjLPNj6QOAABo0Tz9sHlVYzYCCFAff/yxrr76atdr53NucnJytGjRIt133306cuSIRo8erfLycvXv318rVqxQWFiYa53Fixdr7NixGjhwoIKDg5WVlaW5c+c2eSwA6ofET+MiqYM6XbGu4Iz3EXNJNgAAAGpz1VVXyTCM0y4PCgrS9OnTNX369NPWiY6OVlFRUWM0zy9xyySAk5HUAQDg/3N+UDZCglXRo0etSe1A/aDMt2g4E04iAQDwTSR1AAAA/BCJFgAAQFIHAAAgQDGrJgAAgY2kToDi2zsAAAAAgD/gNvD6I6mDJkGSCQCAwMZVQQAAND2SOgAAAAAAwKd5eqVOS7uih6QOAAAAAAQQrpIHWg6SOgg4DGIAAF/GbUpnxjgO+BdPj2n83cKX1HY1T3Cw1KOHVFAgORz+c8UPSZ0WrK4DsBESrIoePZqmMQAAn+fphxtOygEAAJoGSR3gLJx84uJMgl2xrkBBVQ5XOScuAAAA8Eenfq4F/IG/XGHTUEjqAAAQwE79YHPqpcVAS8c0ugAAf0ZSB2eNZwMAAAAA/uVMn+F5DAPgP0jqAH6CZ1QAaGwcZ+AveK8C/qehvgjmbxtwR1IHfoWrgnA6fMCHP+F2DwAAADQEkjpAC0PyAwAAAAACA0kd4DQa6qogkigAGos/X83DsREAAODskdSBz+DWKgAA4Is8TaD6c6IVAODOX26XJ6mDFilQE0i+FhezKiAQcYUJAADNh3EYcEdSB0ANLXmw9Cwx5kkdIDD5WvIYAACgJSOpAwAAgIDTkr+gAFq6pvz7b8gvO5qyTRz/AgdJHQD14o/f1vtjm9Fy+cI92gAAtGR8doQ/IKkDAEAz4Fu0utFHAIDGcroxxvncxyvWFTRtgzxEosm3+MLDlEnqAGhWV6wrUFCV44x1OGkDzs7JHwBP/rBa19+eP3DGdqa4OIYAAPyBPyZs+AKm+ZHUAXyAPx7AATQ+PigBAIDmwjmKf2jWpM78+fP15z//WTabTT169NC8efN02WWXNWeTAADNjLEBDY3kGBAYGB+AhtOUt5819cOkW9q432xJnX/84x/Ky8vTwoUL1adPH82ZM0cZGRnasWOHYmJimqtZAHwQ3xK0HIwNaC4cZwDfxvgAQGK8rk2zJXWeeOIJjRo1SnfeeackaeHChXr33Xf1wgsv6P7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"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(1, 3, figsize=(14, 4))\n",
"df[df.Churn == \"No\"][numerical_features].hist(bins=30, color=\"blue\", alpha=0.5, ax=ax)\n",
"df[df.Churn == \"Yes\"][numerical_features].hist(bins=30, color=\"red\", alpha=0.5, ax=ax)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Categorical feature distribution\n",
"\n",
"To analyze categorical features, we use bar charts. We observe that Senior citizens and customers without phone service are less represented in the data."
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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3lm7duhVZBCit33fKK/K/I24HhJty8OBBNW7cuFABQJKCgoIkSR4eHjpz5owWLFhgXiJWcK+wgkuj9u3bp169eqlKlSq6++67zX188MEHioyMlK+vr6pWraonnnii0CVUn3/+uR599FHVqVNHFotFoaGhGjlyZKFbPvTv319+fn5KS0vT/fffLz8/P91yyy2aNWuWpD9ua9SxY0dVrlxZYWFhSkxMdHh+UffUbN++vZo0aaJ9+/apQ4cOqlSpkm655RZNnTq10N/jyJEjevDBB1W5cmUFBQVp5MiRWrNmzWXvPdqrVy999tlnOnnypNm2c+dOHThwQL169SoUL0k//vijHn30UVWtWlWVKlVSmzZtHH7wysjIkJeXl1mlvtT+/fvl4eGhN95447LzlaQvv/xSXbp0UUBAgCpVqqR7771XX3zxhUPMqVOnNGLECNWtW1cWi0VBQUG677779PXXXxc57tJ28eJFrVu3Tm+99ZZOnTolSTp27JhOnz7t5JEBuBlTp07V6dOnNW/ePIcCQIH69evrmWeekfRHHpgyZYrq1asni8WiunXr6h//+IdycnIcnlO3bl3df//92rp1q+666y75+Pjo1ltv1XvvvWfGJCQk6NFHH5UkdejQwTzWFeTPgn2sWbNGd955p3x9ffXWW29J+uODaceOHRUUFCSLxaKIiAjNnj27yPl99tlnuvfee+Xv7y+r1apWrVqZx6r27dtr5cqVOnLkiPn65e2ez9eC/A84T8eOHSX9UbB95ZVX9Je//EXVqlWTr6+vIiMj9e9//7vQcwpuj7Bw4UI1aNBAPj4+ioyM1JYtWwrF/vzzzxowYICCg4NlsVjUuHFjvfvuuw4xBZ9vFy1apHHjxumWW25RpUqVlJ2dfdlxF9dn3wMHDqhnz54KCQmRj4+PateurSeeeEJZWVlX/duFhIRIksOP/kWtCXAt/rwmwOHDh83bjL799tvmcbFVq1bauXNnoecvXbpUERER8vHxUZMmTbRs2TKXWGeA/A+UruvN+ffee6+aN29e5L4aNGggu90uyTFnzZo1S7feeqsqVaqkqKgoHT16VIZhaMqUKapdu7Z8fX310EMPFXk7tc8++0z33HOPKleuLH9/f0VHR2vv3r0OMQW/If3888/q3r27/Pz8VKNGDT333HPKy8szx1OjRg1J0qRJk8zP4RMnTnTYV69evZSamqrvvvvObEtPT9eGDRsu+/tOTk6OJkyYoPr165u/dY0ZM8bh+8qVfm8rcPLkSfXv31+BgYEKCAjQ008/rbNnzzrEXOt3I8Mw9Pzzz6t27dqqVKmSOnToUOjvVtaQ//+LKwFwU8LCwpScnKw9e/aoSZMmRca8//77GjRokO666y4NGTJEklSvXj2HmEcffVS33XabXnzxRRmGIemPqwz+7//+T4899pgGDRqkX375Ra+//rratWunXbt2mYWHpUuX6uzZsxo2bJiqVaumHTt26PXXX9dPP/2kpUuXOrxOXl6eunbtqnbt2mnq1KlauHChYmNjVblyZf3v//6vevfurR49emjOnDnq27evbDabwsPDr/g3+P3339WlSxf16NFDjz32mP79739r7Nixatq0qbp27Srpj6sbOnbsqOPHj+uZZ55RSEiIEhMTtXHjxsvut0ePHho6dKg++ugjDRgwQNIfVeKGDRuqZcuWheIzMjL0l7/8RWfPntXf/vY3VatWTQsWLNCDDz6of//733r44YcVHByse++9V0uWLNGECRMcnr948WJ5enqaP2QVZcOGDeratasiIyM1YcIEVahQwfwB6/PPP9ddd90lSRo6dKj+/e9/KzY2VhEREfrtt9+0detW/ec//yly7KXpyJEj6tKli9LS0pSTk6P77rtP/v7+evnll5WTk6M5c+Y4dXwAbtzy5ct166236i9/+ctVYwcNGqQFCxbokUce0bPPPqsvv/xS8fHx+s9//qNly5Y5xP7www965JFHNHDgQPXr10/vvvuu+vfvr8jISDVu3Fjt2rXT3/72N7322mv6xz/+oUaNGkmS+b/SH4XWJ598Un/96181ePBgNWjQQJI0e/ZsNW7cWA8++KC8vLy0fPly/c///I/y8/MVExNjPj8hIUEDBgxQ48aNFRcXp8DAQO3atUurV69Wr1699L//+7/KysrSTz/9pBkzZkiS/Pz8bvpv6k7I/4BzHTx4UJJUrVo1Pf/883rwwQfVu3dv5ebmatGiRXr00Ue1YsUKRUdHOzxv8+bNWrx4sf72t7/JYrHozTffVJcuXbRjxw7z+0dGRobatGljFg1q1Kihzz77TAMHDlR2dnah26RNmTJF3t7eeu6555STk3PZKwGK67Nvbm6u7Ha7cnJyNHz4cIWEhOjnn3/WihUrdPLkSQUEBJiveeHCBXMRx/Pnz2vXrl2aPn262rVrd9XvJTcjMTFRp06d0l//+ld5eHho6tSp6tGjh3788Ufz6oGVK1fq8ccfV9OmTRUfH6/ff/9dAwcO1C233FJi4yoO5H+g9F1vzu/Tp48GDx5c6LelnTt36vvvv9e4ceMc9r9w4ULl5uZq+PDhOnHihKZOnarHHntMHTt21KZNmzR27Fj98MMPev311/Xcc885FIXff/999evXT3a7XS+//LLOnj2r2bNn6+6779auXbscipp5eXmy2+1q3bq1XnnlFa1bt07Tpk1TvXr1NGzYMNWoUUOzZ8/WsGHD9PDDD5v3mW/WrJnDeNu1a6fatWsrMTFRkydPlvTHbzB+fn6FjnuSlJ+frwcffFBbt27VkCFD1KhRI+3evVszZszQ999/b64BcC2/tz322GMKDw9XfHy8vv76a82dO1dBQUF6+eWXzZhr/W40fvx4Pf/88+rWrZu6deumr7/+WlFRUcrNzb3Cfw3OQ/7/EwO4CWvXrjU8PT0NT09Pw2azGWPGjDHWrFlj5ObmOsRVrlzZ6NevX6HnT5gwwZBkPPnkkw7thw8fNjw9PY0XXnjBoX337t2Gl5eXQ/vZs2cL7Tc+Pt7w8PAwjhw5Yrb169fPkGS8+OKLZtvvv/9u+Pr6Gh4eHsaiRYvM9u+++86QZEyYMMFs27hxoyHJ2Lhxo9l27733GpKM9957z2zLyckxQkJCjJ49e5pt06ZNMyQZH3/8sdl27tw5o2HDhoX22a9fP6Ny5cqGYRjGI488YnTq1MkwDMPIy8szQkJCjEmTJhmHDh0yJBn//Oc/zeeNGDHCkGR8/vnnZtupU6eM8PBwo27dukZeXp5hGIbx1ltvGZKM3bt3O/zNIiIijI4dO152vvn5+cZtt91m2O12Iz8/34w7e/asER4ebtx3331mW0BAgBETE2OURQ899JDx1FNPGTk5OYafn59x8OBBwzD+mG/9+vWdPDoANyorK8uQZDz00ENXjU1NTTUkGYMGDXJof+655wxJxoYNG8y2sLAwQ5KxZcsWsy0zM9OwWCzGs88+a7YtXbq0UD7/8z5Wr15dqK+oY5jdbjduvfVW8/HJkycNf39/o3Xr1sa5c+ccYi/Nx9HR0UZYWNjlJ17Okf+B0jF//nxDkrFu3Trjl19+MY4ePWosWrTIqFatmuHr62v89NNPhXJfbm6u0aRJE4fPooZhGJIMScZXX31lth05csTw8fExHn74YbNt4MCBRs2aNY1ff/3V4flPPPGEERAQYL5ewefbW2+9tdAYSvKz765duwxJxtKlS6/0pzOPF3/e2rZtW2huBd+j/vz8S79zFfX9pV+/fg7HioLvFdWqVTNOnDhhtn/yySeGJGP58uVmW9OmTY3atWsbp06dMts2bdpkSCrTxx/yP1Byiivnnzx50vDx8THGjh3rEPu3v/3NqFy5snH69GnDMP6bs2rUqGGcPHnSjIuLizMkGc2bNzcuXLhgtj/55JOGt7e3cf78ecMw/viNJDAw0Bg8eLDD66SnpxsBAQEO7QW/IU2ePNkh9o477jAiIyPNx7/88kuh348KFOTqX375xXjuueccck6rVq2Mp59+2jCMP453lx5H3n//faNChQoOv+8YhmHMmTPHkGR88cUXZtvVfm8bMGCAQ/vDDz9sVKtWzXx8rd+NMjMzDW9vbyM6OtrhuPiPf/zDkFTkGJyN/O+I2wHhptx3331KTk7Wgw8+qG+++UZTp06V3W7XLbfcok8//fSa9zN06FCHxx999JHy8/P12GOP6ddffzW3kJAQ3XbbbQ5n0F96T+UzZ87o119/1V/+8hcZhqFdu3YVeq1BgwaZ/w4MDFSDBg1UuXJlh3vvN2jQQIGBgfrxxx+vOnY/Pz+H+3Z6e3vrrrvucnju6tWrdcstt+jBBx8023x8fDR48OAr7rtXr17atGmTeZlYenr6ZS8VW7Vqle666y6H2yn5+flpyJAhOnz4sPbt2yfpjysMvLy8tHjxYjNuz5492rdvnx5//PHLjiU1NdW8FdFvv/1mvidnzpxRp06dtGXLFnORscDAQH355Zc6duzYFefnDJ9//rnGjRtX6IyvunXr6ueff3bSqADcrIJbOfj7+181dtWqVZKkUaNGObQXLMT453UDIiIidM8995iPa9SooQYNGlzTMaJAeHi4eRnzpS49hmVlZenXX3/Vvffeqx9//NG8RURSUpJOnTqlv//974XWarmRW0GUV+R/oHR17txZNWrUUGhoqJ544gn5+flp2bJluuWWWxxy3++//66srCzdc889Rd460mazKTIy0nxcp04dPfTQQ1qzZo3y8vJkGIY+/PBDPfDAAzIMw+G7g91uV1ZWVqH99uvX76rrshTnZ9+CM/3XrFlT6BYMf9a6dWslJSUpKSlJK1as0AsvvKC9e/fqwQcfLHS70+L0+OOPq0qVKubjguNewbHu2LFj2r17t/r27etwpdm9996rpk2blti4igP5Hyh5N5vzAwIC9NBDD+lf//qXeXeIvLw8LV68WN27dy+0buSjjz7qcBVV69atJUlPPfWUw63TWrdurdzcXPP/60lJSTp58qSefPJJh+OFp6enWrduXeTdGv78e9U999xzXd8DCvTq1Us//PCDdu7caf7v5X7fWbp0qRo1aqSGDRs6jLPgNktXuqvEtYz/t99+M78/Xet3o3Xr1plXX1z6HeTPV9uVJeR/R9wOCDetVatW+uijj5Sbm6tvvvlGy5Yt04wZM/TII48oNTVVERERV93Hny9tPXDggAzDMBe++rNLF7RKS0vT+PHj9emnn+r33393iPvzPTZ9fHzM+7UVCAgIUO3atQv9kBIQEFBof0Up6rlVqlTRt99+az4+cuSI6tWrVyiufv36V9x3t27d5O/vr8WLFys1NVWtWrVS/fr1dfjw4UKxR44cMQ98lyq4HcWRI0fUpEkTVa9eXZ06ddKSJUs0ZcoUSX9chubl5WVeulaUAwcOSPrjS9PlZGVlqUqVKpo6dar69eun0NBQRUZGqlu3burbt69uvfXWK863NOTn55v377vUTz/9dE0/HgIom6xWqySZ93m8kiNHjqhChQqFcnBISIgCAwN15MgRh/Y6deoU2keVKlWu6RhR4HK3cPjiiy80YcIEJScnF/phKCsrSwEBAebl1Je77R6uDfkfKF2zZs3S7bffLi8vLwUHB6tBgwaqUOGPc9BWrFih559/XqmpqYXubfxnRX0fuP3223X27Fn98ssvqlChgk6ePKm3335bb7/9dpFjyczMdHh8LbfVKc7PvuHh4Ro1apSmT5+uhQsX6p577tGDDz6op556yuFHLEmqXr26OnfubD6Ojo5WgwYN9Mgjj2ju3LkaPnz4Vcd+I/58rCsoCBQc6wqOjUV9f6lfv36ZWfurKOR/oOQVR87v27evFi9erM8//1zt2rXTunXrlJGRoT59+hR6vT/nrIJcGhoaWmR7QS4ryO0FP6b/WcF3igJF/YZ0vd8DCtxxxx1q2LChEhMTFRgYqJCQkMuO48CBA/rPf/5T6LUL/Pm4diVXyu9Wq/WavxsV/O+fj8s1atRwKCKXJeR/RxQBUGy8vb3VqlUrtWrVSrfffruefvppLV26tNC954vy5zNx8vPz5eHhoc8++0yenp6F4gvOPsnLy9N9992nEydOaOzYsWrYsKEqV66sn3/+Wf379zfPzilQ1L6u1F5Qgb6Sm3nu1VgsFvXo0UMLFizQjz/+WGhxmRv1xBNP6Omnn1ZqaqpatGihJUuWqFOnTqpevfpln1Pwt/znP/+pFi1aFBlT8L489thjuueee7Rs2TKtXbtW//znP/Xyyy/ro48+MtdJcJaoqCi9+uqr5pdEDw8PnT59WhMmTFC3bt2cOjYAN85qtapWrVras2fPNT/nWs+iL448X9QZpwcPHlSnTp3UsGFDTZ8+XaGhofL29taqVas0Y8aMQscw3BzyP1C67rrrLt15552F2j///HM9+OCDateund58803VrFlTFStW1Pz5883Fzq9HQa586qmnLvuD/Z/vzXy1qwAu3W9xffadNm2a+vfvr08++URr167V3/72N8XHx2v79u2qXbv2FcfSqVMnSdKWLVtKrAhQkt9pnI38D5S84sj5drtdwcHB+uCDD9SuXTt98MEHCgkJcSiMFrjR33YKcvv7779vLrp+qUuvIrjS/m5Ur169NHv2bPn7++vxxx83CyV/lp+fr6ZNm2r69OlF9v+52HEl15rf3fEKY/K/I4oAKBEFyf/48eOSrj+Z1KtXT4ZhKDw8XLfffvtl43bv3q3vv/9eCxYsUN++fc32pKSkGxh1yQkLC9O+fftkGIbD3+KHH3646nN79eqld999VxUqVNATTzxxxdfYv39/ofaC1efDwsLMtu7du+uvf/2reUug77//XnFxcVccR8HiMlartciD8J/VrFlT//M//6P/+Z//UWZmplq2bKkXXnjB6UWAadOmyW63KyIiQufPn1evXr104MABVa9eXf/617+cOjYAN+f+++/X22+/reTkZNlstsvGhYWFKT8/XwcOHHBYvDcjI0MnT550yJfX6kY+NC9fvlw5OTn69NNPHc7Q+fPlvQX5d8+ePVe8gswdP7gXJ/I/UDZ8+OGH8vHx0Zo1a2SxWMz2+fPnFxlfcNbmpb7//ntVqlTJPEPS399feXl51/QZ9VqVxGffpk2bqmnTpho3bpy2bdumtm3bas6cOXr++eevuO+LFy9Kkk6fPn0TM7o5BcfGor6/XMt3Gmci/wPOcz0539PTU7169VJCQoJefvllffzxxxo8eHCx/hBfkNuDgoKK7ZhxPZ/Be/XqpfHjx+v48eN6//33LxtXr149ffPNN+rUqdNV93+z3wGu9btRwf8eOHDA4S4Pv/zyyw1dGVEayP+OWBMAN2Xjxo1Fnh1ScE+xBg0aSJIqV66skydPXvN+e/ToIU9PT02aNKnQ/g3D0G+//SbpvxXNS2MMw9DMmTOvax4lzW636+eff3ZYJ+H8+fN65513rvrcDh06aMqUKXrjjTeKrFQX6Natm3bs2KHk5GSz7cyZM3r77bdVt25dh9syBQYGym63a8mSJVq0aJG8vb3VvXv3K44jMjJS9erV0yuvvFLkF5BffvlF0h9XZ/z5NkxBQUGqVauWw6V/zlK7dm198803+t///V+NHDlSd9xxh1566SXt2rVLQUFBzh4egJswZswYVa5cWYMGDVJGRkah/oMHD2rmzJnmWR+vvvqqQ3/BmTbR0dHX/doF9ym9nmNdUcewrKysQl+KoqKi5O/vr/j4eJ0/f96h79LnVq5cuVD+xX+R/4GywdPTUx4eHg6X5x8+fFgff/xxkfHJyckOt5o5evSoPvnkE0VFRcnT01Oenp7q2bOnPvzwwyKvBiv4jHq9ivOzb3Z2tvlDfoGmTZuqQoUK1/T5ePny5ZKk5s2b39BcikOtWrXUpEkTvffeew5/j82bN2v37t1OG9e1IP8DznO9Ob9Pnz76/fff9de//lWnT592WH+xONjtdlmtVr344ou6cOFCof4bOWZUqlRJ0rV9D6hXr55effVVxcfH66677rps3GOPPaaff/65yN+Mzp07pzNnzpiPr/f3tj+71u9GnTt3VsWKFfX66687fAf58/PKEvK/I64EwE0ZPny4zp49q4cfflgNGzZUbm6utm3bpsWLF6tu3bp6+umnJf3xIXrdunWaPn26atWqpfDw8CLvX1+gXr16ev755xUXF6fDhw+re/fu8vf316FDh7Rs2TINGTJEzz33nBo2bKh69erpueee088//yyr1aoPP/ywzFUh//rXv+qNN97Qk08+qWeeeUY1a9bUwoULzQUer1S5rVChgsaNG3fV1/j73/+uf/3rX+ratav+9re/qWrVqlqwYIEOHTqkDz/8sNBlZo8//rieeuopvfnmm7Lb7QoMDLzi/itUqKC5c+eqa9euaty4sZ5++mndcsst+vnnn7Vx40ZZrVYtX75cp06dUu3atfXII4+oefPm8vPz07p167Rz505Nmzbt6n+sUuDl5aXevXurd+/ezh4KgGJUr149JSYm6vHHH1ejRo3Ut29fNWnSxDw2LV26VP3799czzzyjfv366e2339bJkyd17733aseOHVqwYIG6d++uDh06XPdrt2jRQp6ennr55ZeVlZUli8Wijh07XvHDZVRUlLy9vfXAAw+YX3TeeecdBQUFmVfSSX+chTpjxgwNGjRIrVq1Uq9evVSlShV98803Onv2rBYsWCDpj2Pt4sWLNWrUKLVq1Up+fn564IEHrv8P6cbI/4DzRUdHa/r06erSpYt69eqlzMxMzZo1S/Xr13dYU6tAkyZNZLfb9be//U0Wi0VvvvmmJGnSpElmzEsvvaSNGzeqdevWGjx4sCIiInTixAl9/fXXWrdunU6cOHHd4yzOz74bNmxQbGysHn30Ud1+++26ePGi3n//fbOAcamff/5ZH3zwgSSZa6699dZbql69eondCuhavfjii3rooYfUtm1bPf300/r999/1xhtvqEmTJk69SuFakP8B57jenH/HHXeoSZMm5sK4LVu2LNbxWK1WzZ49W3369FHLli31xBNPqEaNGkpLS9PKlSvVtm1bvfHGG9e1T19fX0VERGjx4sW6/fbbVbVqVTVp0uSy63k988wzV91nnz59tGTJEg0dOlQbN25U27ZtlZeXp++++05LlizRmjVrzDtwXO/vbX/WvHnza/puVKNGDT333HOKj4/X/fffr27dumnXrl367LPPrnhraWcj/1/CAG7CZ599ZgwYMMBo2LCh4efnZ3h7exv169c3hg8fbmRkZJhx3333ndGuXTvD19fXkGT069fPMAzDmDBhgiHJ+OWXX4rc/4cffmjcfffdRuXKlY3KlSsbDRs2NGJiYoz9+/ebMfv27TM6d+5s+Pn5GdWrVzcGDx5sfPPNN4YkY/78+WZcv379jMqVKxd6jXvvvddo3LhxofawsDAjOjrafLxx40ZDkrFx48arPrdfv35GWFiYQ9uPP/5oREdHG76+vkaNGjWMZ5991vjwww8NScb27duvOs5LHTp0yJBk/POf/3RoP3jwoPHII48YgYGBho+Pj3HXXXcZK1asKHIf2dnZ5vvxwQcfFOovar6GYRi7du0yevToYVSrVs2wWCxGWFiY8dhjjxnr1683DMMwcnJyjNGjRxvNmzc3/P39jcqVKxvNmzc33nzzzSvOqbQkJCQ4/E1Gjx5tBAQEGDabzTh8+LATRwaguHz//ffG4MGDjbp16xre3t6Gv7+/0bZtW+P11183zp8/bxiGYVy4cMGYNGmSER4eblSsWNEIDQ014uLizP4Cfz4WFLj33nuNe++916HtnXfeMW699VbD09PTIX9ebh+GYRiffvqp0axZM8PHx8eoW7eu8fLLLxvvvvuuIck4dOhQodi//OUvhq+vr2G1Wo277rrL+Ne//mX2nz592ujVq5cRGBhoSCp0HCrvyP9A6Zg/f74hydi5c+dlY+bNm2fcdttthsViMRo2bGjMnz/f/F5wKUlGTEyM8cEHH5j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"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ROWS, COLS = 4, 4\n",
"fig, ax = plt.subplots(ROWS,COLS, figsize=(19,19))\n",
"row, col = 0, 0,\n",
"for i, categorical_feature in enumerate(categorical_features):\n",
" if col == COLS - 1:\n",
" row += 1\n",
" col = i % COLS\n",
" df[categorical_feature].value_counts().plot(kind='bar', ax=ax[row, col]).set_title(categorical_feature)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The next step is to look at categorical features in relation to the target variable. We do this only for contract feature. Users who have a month-to-month contract are more likely to churn than users with long term contracts."
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5, 1.0, 'churned')"
]
},
"execution_count": 22,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
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