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sharshub/Lecture2.ipynb

Created October 27, 2018 03:47
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Lecture2.ipynb
{
"cells": [
{
"cell_type": "code",
"execution_count": 67,
"metadata": {},
"outputs": [],
"source": [
"import pandas as pd\n",
"from matplotlib import pyplot as plt\n",
"import seaborn as sns"
]
},
{
"cell_type": "code",
"execution_count": 111,
"metadata": {},
"outputs": [],
"source": [
"df = pd.read_csv('../../data/telecom_churn.csv')"
]
},
{
"cell_type": "code",
"execution_count": 69,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<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>State</th>\n",
" <th>Account length</th>\n",
" <th>Area code</th>\n",
" <th>International plan</th>\n",
" <th>Voice mail plan</th>\n",
" <th>Number vmail messages</th>\n",
" <th>Total day minutes</th>\n",
" <th>Total day calls</th>\n",
" <th>Total day charge</th>\n",
" <th>Total eve minutes</th>\n",
" <th>Total eve calls</th>\n",
" <th>Total eve charge</th>\n",
" <th>Total night minutes</th>\n",
" <th>Total night calls</th>\n",
" <th>Total night charge</th>\n",
" <th>Total intl minutes</th>\n",
" <th>Total intl calls</th>\n",
" <th>Total intl charge</th>\n",
" <th>Customer service calls</th>\n",
" <th>Churn</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>KS</td>\n",
" <td>128</td>\n",
" <td>415</td>\n",
" <td>No</td>\n",
" <td>Yes</td>\n",
" <td>25</td>\n",
" <td>265.1</td>\n",
" <td>110</td>\n",
" <td>45.07</td>\n",
" <td>197.4</td>\n",
" <td>99</td>\n",
" <td>16.78</td>\n",
" <td>244.7</td>\n",
" <td>91</td>\n",
" <td>11.01</td>\n",
" <td>10.0</td>\n",
" <td>3</td>\n",
" <td>2.70</td>\n",
" <td>1</td>\n",
" <td>False</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>OH</td>\n",
" <td>107</td>\n",
" <td>415</td>\n",
" <td>No</td>\n",
" <td>Yes</td>\n",
" <td>26</td>\n",
" <td>161.6</td>\n",
" <td>123</td>\n",
" <td>27.47</td>\n",
" <td>195.5</td>\n",
" <td>103</td>\n",
" <td>16.62</td>\n",
" <td>254.4</td>\n",
" <td>103</td>\n",
" <td>11.45</td>\n",
" <td>13.7</td>\n",
" <td>3</td>\n",
" <td>3.70</td>\n",
" <td>1</td>\n",
" <td>False</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>NJ</td>\n",
" <td>137</td>\n",
" <td>415</td>\n",
" <td>No</td>\n",
" <td>No</td>\n",
" <td>0</td>\n",
" <td>243.4</td>\n",
" <td>114</td>\n",
" <td>41.38</td>\n",
" <td>121.2</td>\n",
" <td>110</td>\n",
" <td>10.30</td>\n",
" <td>162.6</td>\n",
" <td>104</td>\n",
" <td>7.32</td>\n",
" <td>12.2</td>\n",
" <td>5</td>\n",
" <td>3.29</td>\n",
" <td>0</td>\n",
" <td>False</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>OH</td>\n",
" <td>84</td>\n",
" <td>408</td>\n",
" <td>Yes</td>\n",
" <td>No</td>\n",
" <td>0</td>\n",
" <td>299.4</td>\n",
" <td>71</td>\n",
" <td>50.90</td>\n",
" <td>61.9</td>\n",
" <td>88</td>\n",
" <td>5.26</td>\n",
" <td>196.9</td>\n",
" <td>89</td>\n",
" <td>8.86</td>\n",
" <td>6.6</td>\n",
" <td>7</td>\n",
" <td>1.78</td>\n",
" <td>2</td>\n",
" <td>False</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>OK</td>\n",
" <td>75</td>\n",
" <td>415</td>\n",
" <td>Yes</td>\n",
" <td>No</td>\n",
" <td>0</td>\n",
" <td>166.7</td>\n",
" <td>113</td>\n",
" <td>28.34</td>\n",
" <td>148.3</td>\n",
" <td>122</td>\n",
" <td>12.61</td>\n",
" <td>186.9</td>\n",
" <td>121</td>\n",
" <td>8.41</td>\n",
" <td>10.1</td>\n",
" <td>3</td>\n",
" <td>2.73</td>\n",
" <td>3</td>\n",
" <td>False</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" State Account length Area code International plan Voice mail plan \\\n",
"0 KS 128 415 No Yes \n",
"1 OH 107 415 No Yes \n",
"2 NJ 137 415 No No \n",
"3 OH 84 408 Yes No \n",
"4 OK 75 415 Yes No \n",
"\n",
" Number vmail messages Total day minutes Total day calls \\\n",
"0 25 265.1 110 \n",
"1 26 161.6 123 \n",
"2 0 243.4 114 \n",
"3 0 299.4 71 \n",
"4 0 166.7 113 \n",
"\n",
" Total day charge Total eve minutes Total eve calls Total eve charge \\\n",
"0 45.07 197.4 99 16.78 \n",
"1 27.47 195.5 103 16.62 \n",
"2 41.38 121.2 110 10.30 \n",
"3 50.90 61.9 88 5.26 \n",
"4 28.34 148.3 122 12.61 \n",
"\n",
" Total night minutes Total night calls Total night charge \\\n",
"0 244.7 91 11.01 \n",
"1 254.4 103 11.45 \n",
"2 162.6 104 7.32 \n",
"3 196.9 89 8.86 \n",
"4 186.9 121 8.41 \n",
"\n",
" Total intl minutes Total intl calls Total intl charge \\\n",
"0 10.0 3 2.70 \n",
"1 13.7 3 3.70 \n",
"2 12.2 5 3.29 \n",
"3 6.6 7 1.78 \n",
"4 10.1 3 2.73 \n",
"\n",
" Customer service calls Churn \n",
"0 1 False \n",
"1 1 False \n",
"2 0 False \n",
"3 2 False \n",
"4 3 False "
]
},
"execution_count": 69,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df.head()"
]
},
{
"cell_type": "code",
"execution_count": 70,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(3333, 20)"
]
},
"execution_count": 70,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df.shape"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Whole Dataset Visualisation"
]
},
{
"cell_type": "code",
"execution_count": 71,
"metadata": {},
"outputs": [],
"source": [
"df['International plan'] = df['International plan'].map({'Yes': 1, 'No': 0})\n",
"df['Voice mail plan'] = df['Voice mail plan'].map({'Yes': 1, 'No': 0})"
]
},
{
"cell_type": "code",
"execution_count": 112,
"metadata": {},
"outputs": [],
"source": [
"df['Churn'] = df['Churn'].astype('int')"
]
},
{
"cell_type": "code",
"execution_count": 73,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<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>State</th>\n",
" <th>Account length</th>\n",
" <th>Area code</th>\n",
" <th>International plan</th>\n",
" <th>Voice mail plan</th>\n",
" <th>Number vmail messages</th>\n",
" <th>Total day minutes</th>\n",
" <th>Total day calls</th>\n",
" <th>Total day charge</th>\n",
" <th>Total eve minutes</th>\n",
" <th>Total eve calls</th>\n",
" <th>Total eve charge</th>\n",
" <th>Total night minutes</th>\n",
" <th>Total night calls</th>\n",
" <th>Total night charge</th>\n",
" <th>Total intl minutes</th>\n",
" <th>Total intl calls</th>\n",
" <th>Total intl charge</th>\n",
" <th>Customer service calls</th>\n",
" <th>Churn</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>KS</td>\n",
" <td>128</td>\n",
" <td>415</td>\n",
" <td>0</td>\n",
" <td>1</td>\n",
" <td>25</td>\n",
" <td>265.1</td>\n",
" <td>110</td>\n",
" <td>45.07</td>\n",
" <td>197.4</td>\n",
" <td>99</td>\n",
" <td>16.78</td>\n",
" <td>244.7</td>\n",
" <td>91</td>\n",
" <td>11.01</td>\n",
" <td>10.0</td>\n",
" <td>3</td>\n",
" <td>2.70</td>\n",
" <td>1</td>\n",
" <td>0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>OH</td>\n",
" <td>107</td>\n",
" <td>415</td>\n",
" <td>0</td>\n",
" <td>1</td>\n",
" <td>26</td>\n",
" <td>161.6</td>\n",
" <td>123</td>\n",
" <td>27.47</td>\n",
" <td>195.5</td>\n",
" <td>103</td>\n",
" <td>16.62</td>\n",
" <td>254.4</td>\n",
" <td>103</td>\n",
" <td>11.45</td>\n",
" <td>13.7</td>\n",
" <td>3</td>\n",
" <td>3.70</td>\n",
" <td>1</td>\n",
" <td>0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>NJ</td>\n",
" <td>137</td>\n",
" <td>415</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>243.4</td>\n",
" <td>114</td>\n",
" <td>41.38</td>\n",
" <td>121.2</td>\n",
" <td>110</td>\n",
" <td>10.30</td>\n",
" <td>162.6</td>\n",
" <td>104</td>\n",
" <td>7.32</td>\n",
" <td>12.2</td>\n",
" <td>5</td>\n",
" <td>3.29</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>OH</td>\n",
" <td>84</td>\n",
" <td>408</td>\n",
" <td>1</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>299.4</td>\n",
" <td>71</td>\n",
" <td>50.90</td>\n",
" <td>61.9</td>\n",
" <td>88</td>\n",
" <td>5.26</td>\n",
" <td>196.9</td>\n",
" <td>89</td>\n",
" <td>8.86</td>\n",
" <td>6.6</td>\n",
" <td>7</td>\n",
" <td>1.78</td>\n",
" <td>2</td>\n",
" <td>0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>OK</td>\n",
" <td>75</td>\n",
" <td>415</td>\n",
" <td>1</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>166.7</td>\n",
" <td>113</td>\n",
" <td>28.34</td>\n",
" <td>148.3</td>\n",
" <td>122</td>\n",
" <td>12.61</td>\n",
" <td>186.9</td>\n",
" <td>121</td>\n",
" <td>8.41</td>\n",
" <td>10.1</td>\n",
" <td>3</td>\n",
" <td>2.73</td>\n",
" <td>3</td>\n",
" <td>0</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" State Account length Area code International plan Voice mail plan \\\n",
"0 KS 128 415 0 1 \n",
"1 OH 107 415 0 1 \n",
"2 NJ 137 415 0 0 \n",
"3 OH 84 408 1 0 \n",
"4 OK 75 415 1 0 \n",
"\n",
" Number vmail messages Total day minutes Total day calls \\\n",
"0 25 265.1 110 \n",
"1 26 161.6 123 \n",
"2 0 243.4 114 \n",
"3 0 299.4 71 \n",
"4 0 166.7 113 \n",
"\n",
" Total day charge Total eve minutes Total eve calls Total eve charge \\\n",
"0 45.07 197.4 99 16.78 \n",
"1 27.47 195.5 103 16.62 \n",
"2 41.38 121.2 110 10.30 \n",
"3 50.90 61.9 88 5.26 \n",
"4 28.34 148.3 122 12.61 \n",
"\n",
" Total night minutes Total night calls Total night charge \\\n",
"0 244.7 91 11.01 \n",
"1 254.4 103 11.45 \n",
"2 162.6 104 7.32 \n",
"3 196.9 89 8.86 \n",
"4 186.9 121 8.41 \n",
"\n",
" Total intl minutes Total intl calls Total intl charge \\\n",
"0 10.0 3 2.70 \n",
"1 13.7 3 3.70 \n",
"2 12.2 5 3.29 \n",
"3 6.6 7 1.78 \n",
"4 10.1 3 2.73 \n",
"\n",
" Customer service calls Churn \n",
"0 1 0 \n",
"1 1 0 \n",
"2 0 0 \n",
"3 2 0 \n",
"4 3 0 "
]
},
"execution_count": 73,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df.head()"
]
},
{
"cell_type": "code",
"execution_count": 74,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1152x864 with 20 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.rcParams['figure.figsize'] = (16,12)\n",
"df.drop(['State'],axis = 1).hist();"
]
},
{
"cell_type": "code",
"execution_count": 75,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<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>Account length</th>\n",
" <th>Area code</th>\n",
" <th>International plan</th>\n",
" <th>Voice mail plan</th>\n",
" <th>Number vmail messages</th>\n",
" <th>Total day minutes</th>\n",
" <th>Total day calls</th>\n",
" <th>Total day charge</th>\n",
" <th>Total eve minutes</th>\n",
" <th>Total eve calls</th>\n",
" <th>Total eve charge</th>\n",
" <th>Total night minutes</th>\n",
" <th>Total night calls</th>\n",
" <th>Total night charge</th>\n",
" <th>Total intl minutes</th>\n",
" <th>Total intl calls</th>\n",
" <th>Total intl charge</th>\n",
" <th>Customer service calls</th>\n",
" <th>Churn</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>Account length</th>\n",
" <td>1.000000</td>\n",
" <td>-0.012463</td>\n",
" <td>0.024735</td>\n",
" <td>0.002918</td>\n",
" <td>-0.004628</td>\n",
" <td>0.006216</td>\n",
" <td>0.038470</td>\n",
" <td>0.006214</td>\n",
" <td>-0.006757</td>\n",
" <td>0.019260</td>\n",
" <td>-0.006745</td>\n",
" <td>-0.008955</td>\n",
" <td>-0.013176</td>\n",
" <td>-0.008960</td>\n",
" <td>0.009514</td>\n",
" <td>0.020661</td>\n",
" <td>0.009546</td>\n",
" <td>-0.003796</td>\n",
" <td>0.016541</td>\n",
" </tr>\n",
" <tr>\n",
" <th>Area code</th>\n",
" <td>-0.012463</td>\n",
" <td>1.000000</td>\n",
" <td>0.048551</td>\n",
" <td>-0.000747</td>\n",
" <td>-0.001994</td>\n",
" <td>-0.008264</td>\n",
" <td>-0.009646</td>\n",
" <td>-0.008264</td>\n",
" <td>0.003580</td>\n",
" <td>-0.011886</td>\n",
" <td>0.003607</td>\n",
" <td>-0.005825</td>\n",
" <td>0.016522</td>\n",
" <td>-0.005845</td>\n",
" <td>-0.018288</td>\n",
" <td>-0.024179</td>\n",
" <td>-0.018395</td>\n",
" <td>0.027572</td>\n",
" <td>0.006174</td>\n",
" </tr>\n",
" <tr>\n",
" <th>International plan</th>\n",
" <td>0.024735</td>\n",
" <td>0.048551</td>\n",
" <td>1.000000</td>\n",
" <td>0.006006</td>\n",
" <td>0.008745</td>\n",
" <td>0.049396</td>\n",
" <td>0.003755</td>\n",
" <td>0.049398</td>\n",
" <td>0.019100</td>\n",
" <td>0.006114</td>\n",
" <td>0.019106</td>\n",
" <td>-0.028905</td>\n",
" <td>0.012451</td>\n",
" <td>-0.028913</td>\n",
" <td>0.045871</td>\n",
" <td>0.017366</td>\n",
" <td>0.045780</td>\n",
" <td>-0.024522</td>\n",
" <td>0.259852</td>\n",
" </tr>\n",
" <tr>\n",
" <th>Voice mail plan</th>\n",
" <td>0.002918</td>\n",
" <td>-0.000747</td>\n",
" <td>0.006006</td>\n",
" <td>1.000000</td>\n",
" <td>0.956927</td>\n",
" <td>-0.001684</td>\n",
" <td>-0.011086</td>\n",
" <td>-0.001686</td>\n",
" <td>0.021545</td>\n",
" <td>-0.006444</td>\n",
" <td>0.021559</td>\n",
" <td>0.006079</td>\n",
" <td>0.015553</td>\n",
" <td>0.006064</td>\n",
" <td>-0.001318</td>\n",
" <td>0.007618</td>\n",
" <td>-0.001276</td>\n",
" <td>-0.017824</td>\n",
" <td>-0.102148</td>\n",
" </tr>\n",
" <tr>\n",
" <th>Number vmail messages</th>\n",
" <td>-0.004628</td>\n",
" <td>-0.001994</td>\n",
" <td>0.008745</td>\n",
" <td>0.956927</td>\n",
" <td>1.000000</td>\n",
" <td>0.000778</td>\n",
" <td>-0.009548</td>\n",
" <td>0.000776</td>\n",
" <td>0.017562</td>\n",
" <td>-0.005864</td>\n",
" <td>0.017578</td>\n",
" <td>0.007681</td>\n",
" <td>0.007123</td>\n",
" <td>0.007663</td>\n",
" <td>0.002856</td>\n",
" <td>0.013957</td>\n",
" <td>0.002884</td>\n",
" <td>-0.013263</td>\n",
" <td>-0.089728</td>\n",
" </tr>\n",
" <tr>\n",
" <th>Total day minutes</th>\n",
" <td>0.006216</td>\n",
" <td>-0.008264</td>\n",
" <td>0.049396</td>\n",
" <td>-0.001684</td>\n",
" <td>0.000778</td>\n",
" <td>1.000000</td>\n",
" <td>0.006750</td>\n",
" <td>1.000000</td>\n",
" <td>0.007043</td>\n",
" <td>0.015769</td>\n",
" <td>0.007029</td>\n",
" <td>0.004323</td>\n",
" <td>0.022972</td>\n",
" <td>0.004300</td>\n",
" <td>-0.010155</td>\n",
" <td>0.008033</td>\n",
" <td>-0.010092</td>\n",
" <td>-0.013423</td>\n",
" <td>0.205151</td>\n",
" </tr>\n",
" <tr>\n",
" <th>Total day calls</th>\n",
" <td>0.038470</td>\n",
" <td>-0.009646</td>\n",
" <td>0.003755</td>\n",
" <td>-0.011086</td>\n",
" <td>-0.009548</td>\n",
" <td>0.006750</td>\n",
" <td>1.000000</td>\n",
" <td>0.006753</td>\n",
" <td>-0.021451</td>\n",
" <td>0.006462</td>\n",
" <td>-0.021449</td>\n",
" <td>0.022938</td>\n",
" <td>-0.019557</td>\n",
" <td>0.022927</td>\n",
" <td>0.021565</td>\n",
" <td>0.004574</td>\n",
" <td>0.021666</td>\n",
" <td>-0.018942</td>\n",
" <td>0.018459</td>\n",
" </tr>\n",
" <tr>\n",
" <th>Total day charge</th>\n",
" <td>0.006214</td>\n",
" <td>-0.008264</td>\n",
" <td>0.049398</td>\n",
" <td>-0.001686</td>\n",
" <td>0.000776</td>\n",
" <td>1.000000</td>\n",
" <td>0.006753</td>\n",
" <td>1.000000</td>\n",
" <td>0.007050</td>\n",
" <td>0.015769</td>\n",
" <td>0.007036</td>\n",
" <td>0.004324</td>\n",
" <td>0.022972</td>\n",
" <td>0.004301</td>\n",
" <td>-0.010157</td>\n",
" <td>0.008032</td>\n",
" <td>-0.010094</td>\n",
" <td>-0.013427</td>\n",
" <td>0.205151</td>\n",
" </tr>\n",
" <tr>\n",
" <th>Total eve minutes</th>\n",
" <td>-0.006757</td>\n",
" <td>0.003580</td>\n",
" <td>0.019100</td>\n",
" <td>0.021545</td>\n",
" <td>0.017562</td>\n",
" <td>0.007043</td>\n",
" <td>-0.021451</td>\n",
" <td>0.007050</td>\n",
" <td>1.000000</td>\n",
" <td>-0.011430</td>\n",
" <td>1.000000</td>\n",
" <td>-0.012584</td>\n",
" <td>0.007586</td>\n",
" <td>-0.012593</td>\n",
" <td>-0.011035</td>\n",
" <td>0.002541</td>\n",
" <td>-0.011067</td>\n",
" <td>-0.012985</td>\n",
" <td>0.092796</td>\n",
" </tr>\n",
" <tr>\n",
" <th>Total eve calls</th>\n",
" <td>0.019260</td>\n",
" <td>-0.011886</td>\n",
" <td>0.006114</td>\n",
" <td>-0.006444</td>\n",
" <td>-0.005864</td>\n",
" <td>0.015769</td>\n",
" <td>0.006462</td>\n",
" <td>0.015769</td>\n",
" <td>-0.011430</td>\n",
" <td>1.000000</td>\n",
" <td>-0.011423</td>\n",
" <td>-0.002093</td>\n",
" <td>0.007710</td>\n",
" <td>-0.002056</td>\n",
" <td>0.008703</td>\n",
" <td>0.017434</td>\n",
" <td>0.008674</td>\n",
" <td>0.002423</td>\n",
" <td>0.009233</td>\n",
" </tr>\n",
" <tr>\n",
" <th>Total eve charge</th>\n",
" <td>-0.006745</td>\n",
" <td>0.003607</td>\n",
" <td>0.019106</td>\n",
" <td>0.021559</td>\n",
" <td>0.017578</td>\n",
" <td>0.007029</td>\n",
" <td>-0.021449</td>\n",
" <td>0.007036</td>\n",
" <td>1.000000</td>\n",
" <td>-0.011423</td>\n",
" <td>1.000000</td>\n",
" <td>-0.012592</td>\n",
" <td>0.007596</td>\n",
" <td>-0.012601</td>\n",
" <td>-0.011043</td>\n",
" <td>0.002541</td>\n",
" <td>-0.011074</td>\n",
" <td>-0.012987</td>\n",
" <td>0.092786</td>\n",
" </tr>\n",
" <tr>\n",
" <th>Total night minutes</th>\n",
" <td>-0.008955</td>\n",
" <td>-0.005825</td>\n",
" <td>-0.028905</td>\n",
" <td>0.006079</td>\n",
" <td>0.007681</td>\n",
" <td>0.004323</td>\n",
" <td>0.022938</td>\n",
" <td>0.004324</td>\n",
" <td>-0.012584</td>\n",
" <td>-0.002093</td>\n",
" <td>-0.012592</td>\n",
" <td>1.000000</td>\n",
" <td>0.011204</td>\n",
" <td>0.999999</td>\n",
" <td>-0.015207</td>\n",
" <td>-0.012353</td>\n",
" <td>-0.015180</td>\n",
" <td>-0.009288</td>\n",
" <td>0.035493</td>\n",
" </tr>\n",
" <tr>\n",
" <th>Total night calls</th>\n",
" <td>-0.013176</td>\n",
" <td>0.016522</td>\n",
" <td>0.012451</td>\n",
" <td>0.015553</td>\n",
" <td>0.007123</td>\n",
" <td>0.022972</td>\n",
" <td>-0.019557</td>\n",
" <td>0.022972</td>\n",
" <td>0.007586</td>\n",
" <td>0.007710</td>\n",
" <td>0.007596</td>\n",
" <td>0.011204</td>\n",
" <td>1.000000</td>\n",
" <td>0.011188</td>\n",
" <td>-0.013605</td>\n",
" <td>0.000305</td>\n",
" <td>-0.013630</td>\n",
" <td>-0.012802</td>\n",
" <td>0.006141</td>\n",
" </tr>\n",
" <tr>\n",
" <th>Total night charge</th>\n",
" <td>-0.008960</td>\n",
" <td>-0.005845</td>\n",
" <td>-0.028913</td>\n",
" <td>0.006064</td>\n",
" <td>0.007663</td>\n",
" <td>0.004300</td>\n",
" <td>0.022927</td>\n",
" <td>0.004301</td>\n",
" <td>-0.012593</td>\n",
" <td>-0.002056</td>\n",
" <td>-0.012601</td>\n",
" <td>0.999999</td>\n",
" <td>0.011188</td>\n",
" <td>1.000000</td>\n",
" <td>-0.015214</td>\n",
" <td>-0.012329</td>\n",
" <td>-0.015186</td>\n",
" <td>-0.009277</td>\n",
" <td>0.035496</td>\n",
" </tr>\n",
" <tr>\n",
" <th>Total intl minutes</th>\n",
" <td>0.009514</td>\n",
" <td>-0.018288</td>\n",
" <td>0.045871</td>\n",
" <td>-0.001318</td>\n",
" <td>0.002856</td>\n",
" <td>-0.010155</td>\n",
" <td>0.021565</td>\n",
" <td>-0.010157</td>\n",
" <td>-0.011035</td>\n",
" <td>0.008703</td>\n",
" <td>-0.011043</td>\n",
" <td>-0.015207</td>\n",
" <td>-0.013605</td>\n",
" <td>-0.015214</td>\n",
" <td>1.000000</td>\n",
" <td>0.032304</td>\n",
" <td>0.999993</td>\n",
" <td>-0.009640</td>\n",
" <td>0.068239</td>\n",
" </tr>\n",
" <tr>\n",
" <th>Total intl calls</th>\n",
" <td>0.020661</td>\n",
" <td>-0.024179</td>\n",
" <td>0.017366</td>\n",
" <td>0.007618</td>\n",
" <td>0.013957</td>\n",
" <td>0.008033</td>\n",
" <td>0.004574</td>\n",
" <td>0.008032</td>\n",
" <td>0.002541</td>\n",
" <td>0.017434</td>\n",
" <td>0.002541</td>\n",
" <td>-0.012353</td>\n",
" <td>0.000305</td>\n",
" <td>-0.012329</td>\n",
" <td>0.032304</td>\n",
" <td>1.000000</td>\n",
" <td>0.032372</td>\n",
" <td>-0.017561</td>\n",
" <td>-0.052844</td>\n",
" </tr>\n",
" <tr>\n",
" <th>Total intl charge</th>\n",
" <td>0.009546</td>\n",
" <td>-0.018395</td>\n",
" <td>0.045780</td>\n",
" <td>-0.001276</td>\n",
" <td>0.002884</td>\n",
" <td>-0.010092</td>\n",
" <td>0.021666</td>\n",
" <td>-0.010094</td>\n",
" <td>-0.011067</td>\n",
" <td>0.008674</td>\n",
" <td>-0.011074</td>\n",
" <td>-0.015180</td>\n",
" <td>-0.013630</td>\n",
" <td>-0.015186</td>\n",
" <td>0.999993</td>\n",
" <td>0.032372</td>\n",
" <td>1.000000</td>\n",
" <td>-0.009675</td>\n",
" <td>0.068259</td>\n",
" </tr>\n",
" <tr>\n",
" <th>Customer service calls</th>\n",
" <td>-0.003796</td>\n",
" <td>0.027572</td>\n",
" <td>-0.024522</td>\n",
" <td>-0.017824</td>\n",
" <td>-0.013263</td>\n",
" <td>-0.013423</td>\n",
" <td>-0.018942</td>\n",
" <td>-0.013427</td>\n",
" <td>-0.012985</td>\n",
" <td>0.002423</td>\n",
" <td>-0.012987</td>\n",
" <td>-0.009288</td>\n",
" <td>-0.012802</td>\n",
" <td>-0.009277</td>\n",
" <td>-0.009640</td>\n",
" <td>-0.017561</td>\n",
" <td>-0.009675</td>\n",
" <td>1.000000</td>\n",
" <td>0.208750</td>\n",
" </tr>\n",
" <tr>\n",
" <th>Churn</th>\n",
" <td>0.016541</td>\n",
" <td>0.006174</td>\n",
" <td>0.259852</td>\n",
" <td>-0.102148</td>\n",
" <td>-0.089728</td>\n",
" <td>0.205151</td>\n",
" <td>0.018459</td>\n",
" <td>0.205151</td>\n",
" <td>0.092796</td>\n",
" <td>0.009233</td>\n",
" <td>0.092786</td>\n",
" <td>0.035493</td>\n",
" <td>0.006141</td>\n",
" <td>0.035496</td>\n",
" <td>0.068239</td>\n",
" <td>-0.052844</td>\n",
" <td>0.068259</td>\n",
" <td>0.208750</td>\n",
" <td>1.000000</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" Account length Area code International plan \\\n",
"Account length 1.000000 -0.012463 0.024735 \n",
"Area code -0.012463 1.000000 0.048551 \n",
"International plan 0.024735 0.048551 1.000000 \n",
"Voice mail plan 0.002918 -0.000747 0.006006 \n",
"Number vmail messages -0.004628 -0.001994 0.008745 \n",
"Total day minutes 0.006216 -0.008264 0.049396 \n",
"Total day calls 0.038470 -0.009646 0.003755 \n",
"Total day charge 0.006214 -0.008264 0.049398 \n",
"Total eve minutes -0.006757 0.003580 0.019100 \n",
"Total eve calls 0.019260 -0.011886 0.006114 \n",
"Total eve charge -0.006745 0.003607 0.019106 \n",
"Total night minutes -0.008955 -0.005825 -0.028905 \n",
"Total night calls -0.013176 0.016522 0.012451 \n",
"Total night charge -0.008960 -0.005845 -0.028913 \n",
"Total intl minutes 0.009514 -0.018288 0.045871 \n",
"Total intl calls 0.020661 -0.024179 0.017366 \n",
"Total intl charge 0.009546 -0.018395 0.045780 \n",
"Customer service calls -0.003796 0.027572 -0.024522 \n",
"Churn 0.016541 0.006174 0.259852 \n",
"\n",
" Voice mail plan Number vmail messages \\\n",
"Account length 0.002918 -0.004628 \n",
"Area code -0.000747 -0.001994 \n",
"International plan 0.006006 0.008745 \n",
"Voice mail plan 1.000000 0.956927 \n",
"Number vmail messages 0.956927 1.000000 \n",
"Total day minutes -0.001684 0.000778 \n",
"Total day calls -0.011086 -0.009548 \n",
"Total day charge -0.001686 0.000776 \n",
"Total eve minutes 0.021545 0.017562 \n",
"Total eve calls -0.006444 -0.005864 \n",
"Total eve charge 0.021559 0.017578 \n",
"Total night minutes 0.006079 0.007681 \n",
"Total night calls 0.015553 0.007123 \n",
"Total night charge 0.006064 0.007663 \n",
"Total intl minutes -0.001318 0.002856 \n",
"Total intl calls 0.007618 0.013957 \n",
"Total intl charge -0.001276 0.002884 \n",
"Customer service calls -0.017824 -0.013263 \n",
"Churn -0.102148 -0.089728 \n",
"\n",
" Total day minutes Total day calls Total day charge \\\n",
"Account length 0.006216 0.038470 0.006214 \n",
"Area code -0.008264 -0.009646 -0.008264 \n",
"International plan 0.049396 0.003755 0.049398 \n",
"Voice mail plan -0.001684 -0.011086 -0.001686 \n",
"Number vmail messages 0.000778 -0.009548 0.000776 \n",
"Total day minutes 1.000000 0.006750 1.000000 \n",
"Total day calls 0.006750 1.000000 0.006753 \n",
"Total day charge 1.000000 0.006753 1.000000 \n",
"Total eve minutes 0.007043 -0.021451 0.007050 \n",
"Total eve calls 0.015769 0.006462 0.015769 \n",
"Total eve charge 0.007029 -0.021449 0.007036 \n",
"Total night minutes 0.004323 0.022938 0.004324 \n",
"Total night calls 0.022972 -0.019557 0.022972 \n",
"Total night charge 0.004300 0.022927 0.004301 \n",
"Total intl minutes -0.010155 0.021565 -0.010157 \n",
"Total intl calls 0.008033 0.004574 0.008032 \n",
"Total intl charge -0.010092 0.021666 -0.010094 \n",
"Customer service calls -0.013423 -0.018942 -0.013427 \n",
"Churn 0.205151 0.018459 0.205151 \n",
"\n",
" Total eve minutes Total eve calls Total eve charge \\\n",
"Account length -0.006757 0.019260 -0.006745 \n",
"Area code 0.003580 -0.011886 0.003607 \n",
"International plan 0.019100 0.006114 0.019106 \n",
"Voice mail plan 0.021545 -0.006444 0.021559 \n",
"Number vmail messages 0.017562 -0.005864 0.017578 \n",
"Total day minutes 0.007043 0.015769 0.007029 \n",
"Total day calls -0.021451 0.006462 -0.021449 \n",
"Total day charge 0.007050 0.015769 0.007036 \n",
"Total eve minutes 1.000000 -0.011430 1.000000 \n",
"Total eve calls -0.011430 1.000000 -0.011423 \n",
"Total eve charge 1.000000 -0.011423 1.000000 \n",
"Total night minutes -0.012584 -0.002093 -0.012592 \n",
"Total night calls 0.007586 0.007710 0.007596 \n",
"Total night charge -0.012593 -0.002056 -0.012601 \n",
"Total intl minutes -0.011035 0.008703 -0.011043 \n",
"Total intl calls 0.002541 0.017434 0.002541 \n",
"Total intl charge -0.011067 0.008674 -0.011074 \n",
"Customer service calls -0.012985 0.002423 -0.012987 \n",
"Churn 0.092796 0.009233 0.092786 \n",
"\n",
" Total night minutes Total night calls \\\n",
"Account length -0.008955 -0.013176 \n",
"Area code -0.005825 0.016522 \n",
"International plan -0.028905 0.012451 \n",
"Voice mail plan 0.006079 0.015553 \n",
"Number vmail messages 0.007681 0.007123 \n",
"Total day minutes 0.004323 0.022972 \n",
"Total day calls 0.022938 -0.019557 \n",
"Total day charge 0.004324 0.022972 \n",
"Total eve minutes -0.012584 0.007586 \n",
"Total eve calls -0.002093 0.007710 \n",
"Total eve charge -0.012592 0.007596 \n",
"Total night minutes 1.000000 0.011204 \n",
"Total night calls 0.011204 1.000000 \n",
"Total night charge 0.999999 0.011188 \n",
"Total intl minutes -0.015207 -0.013605 \n",
"Total intl calls -0.012353 0.000305 \n",
"Total intl charge -0.015180 -0.013630 \n",
"Customer service calls -0.009288 -0.012802 \n",
"Churn 0.035493 0.006141 \n",
"\n",
" Total night charge Total intl minutes \\\n",
"Account length -0.008960 0.009514 \n",
"Area code -0.005845 -0.018288 \n",
"International plan -0.028913 0.045871 \n",
"Voice mail plan 0.006064 -0.001318 \n",
"Number vmail messages 0.007663 0.002856 \n",
"Total day minutes 0.004300 -0.010155 \n",
"Total day calls 0.022927 0.021565 \n",
"Total day charge 0.004301 -0.010157 \n",
"Total eve minutes -0.012593 -0.011035 \n",
"Total eve calls -0.002056 0.008703 \n",
"Total eve charge -0.012601 -0.011043 \n",
"Total night minutes 0.999999 -0.015207 \n",
"Total night calls 0.011188 -0.013605 \n",
"Total night charge 1.000000 -0.015214 \n",
"Total intl minutes -0.015214 1.000000 \n",
"Total intl calls -0.012329 0.032304 \n",
"Total intl charge -0.015186 0.999993 \n",
"Customer service calls -0.009277 -0.009640 \n",
"Churn 0.035496 0.068239 \n",
"\n",
" Total intl calls Total intl charge \\\n",
"Account length 0.020661 0.009546 \n",
"Area code -0.024179 -0.018395 \n",
"International plan 0.017366 0.045780 \n",
"Voice mail plan 0.007618 -0.001276 \n",
"Number vmail messages 0.013957 0.002884 \n",
"Total day minutes 0.008033 -0.010092 \n",
"Total day calls 0.004574 0.021666 \n",
"Total day charge 0.008032 -0.010094 \n",
"Total eve minutes 0.002541 -0.011067 \n",
"Total eve calls 0.017434 0.008674 \n",
"Total eve charge 0.002541 -0.011074 \n",
"Total night minutes -0.012353 -0.015180 \n",
"Total night calls 0.000305 -0.013630 \n",
"Total night charge -0.012329 -0.015186 \n",
"Total intl minutes 0.032304 0.999993 \n",
"Total intl calls 1.000000 0.032372 \n",
"Total intl charge 0.032372 1.000000 \n",
"Customer service calls -0.017561 -0.009675 \n",
"Churn -0.052844 0.068259 \n",
"\n",
" Customer service calls Churn \n",
"Account length -0.003796 0.016541 \n",
"Area code 0.027572 0.006174 \n",
"International plan -0.024522 0.259852 \n",
"Voice mail plan -0.017824 -0.102148 \n",
"Number vmail messages -0.013263 -0.089728 \n",
"Total day minutes -0.013423 0.205151 \n",
"Total day calls -0.018942 0.018459 \n",
"Total day charge -0.013427 0.205151 \n",
"Total eve minutes -0.012985 0.092796 \n",
"Total eve calls 0.002423 0.009233 \n",
"Total eve charge -0.012987 0.092786 \n",
"Total night minutes -0.009288 0.035493 \n",
"Total night calls -0.012802 0.006141 \n",
"Total night charge -0.009277 0.035496 \n",
"Total intl minutes -0.009640 0.068239 \n",
"Total intl calls -0.017561 -0.052844 \n",
"Total intl charge -0.009675 0.068259 \n",
"Customer service calls 1.000000 0.208750 \n",
"Churn 0.208750 1.000000 "
]
},
"execution_count": 75,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df.corr()"
]
},
{
"cell_type": "code",
"execution_count": 76,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1152x864 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"sns.heatmap(df.corr());"
]
},
{
"cell_type": "code",
"execution_count": 77,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Index(['State', 'Account length', 'Area code', 'International plan',\n",
" 'Voice mail plan', 'Number vmail messages', 'Total day minutes',\n",
" 'Total day calls', 'Total day charge', 'Total eve minutes',\n",
" 'Total eve calls', 'Total eve charge', 'Total night minutes',\n",
" 'Total night calls', 'Total night charge', 'Total intl minutes',\n",
" 'Total intl calls', 'Total intl charge', 'Customer service calls',\n",
" 'Churn'],\n",
" dtype='object')"
]
},
"execution_count": 77,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df.columns"
]
},
{
"cell_type": "code",
"execution_count": 113,
"metadata": {},
"outputs": [],
"source": [
"df.drop([feat_name for feat_name in df.columns if 'charge' in feat_name],\n",
" axis = 1, inplace = True)"
]
},
{
"cell_type": "code",
"execution_count": 79,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(3333, 16)"
]
},
"execution_count": 79,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df.shape"
]
},
{
"cell_type": "code",
"execution_count": 80,
"metadata": {},
"outputs": [],
"source": [
"from sklearn.manifold import TSNE"
]
},
{
"cell_type": "code",
"execution_count": 81,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(3333, 16)"
]
},
"execution_count": 81,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df.shape"
]
},
{
"cell_type": "code",
"execution_count": 57,
"metadata": {},
"outputs": [],
"source": [
"state = df['State']\n",
"df.drop('State',axis = 1, inplace = True)"
]
},
{
"cell_type": "code",
"execution_count": 82,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<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>State</th>\n",
" <th>Account length</th>\n",
" <th>Area code</th>\n",
" <th>International plan</th>\n",
" <th>Voice mail plan</th>\n",
" <th>Number vmail messages</th>\n",
" <th>Total day minutes</th>\n",
" <th>Total day calls</th>\n",
" <th>Total eve minutes</th>\n",
" <th>Total eve calls</th>\n",
" <th>Total night minutes</th>\n",
" <th>Total night calls</th>\n",
" <th>Total intl minutes</th>\n",
" <th>Total intl calls</th>\n",
" <th>Customer service calls</th>\n",
" <th>Churn</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>KS</td>\n",
" <td>128</td>\n",
" <td>415</td>\n",
" <td>0</td>\n",
" <td>1</td>\n",
" <td>25</td>\n",
" <td>265.1</td>\n",
" <td>110</td>\n",
" <td>197.4</td>\n",
" <td>99</td>\n",
" <td>244.7</td>\n",
" <td>91</td>\n",
" <td>10.0</td>\n",
" <td>3</td>\n",
" <td>1</td>\n",
" <td>0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>OH</td>\n",
" <td>107</td>\n",
" <td>415</td>\n",
" <td>0</td>\n",
" <td>1</td>\n",
" <td>26</td>\n",
" <td>161.6</td>\n",
" <td>123</td>\n",
" <td>195.5</td>\n",
" <td>103</td>\n",
" <td>254.4</td>\n",
" <td>103</td>\n",
" <td>13.7</td>\n",
" <td>3</td>\n",
" <td>1</td>\n",
" <td>0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>NJ</td>\n",
" <td>137</td>\n",
" <td>415</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>243.4</td>\n",
" <td>114</td>\n",
" <td>121.2</td>\n",
" <td>110</td>\n",
" <td>162.6</td>\n",
" <td>104</td>\n",
" <td>12.2</td>\n",
" <td>5</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>OH</td>\n",
" <td>84</td>\n",
" <td>408</td>\n",
" <td>1</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>299.4</td>\n",
" <td>71</td>\n",
" <td>61.9</td>\n",
" <td>88</td>\n",
" <td>196.9</td>\n",
" <td>89</td>\n",
" <td>6.6</td>\n",
" <td>7</td>\n",
" <td>2</td>\n",
" <td>0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>OK</td>\n",
" <td>75</td>\n",
" <td>415</td>\n",
" <td>1</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>166.7</td>\n",
" <td>113</td>\n",
" <td>148.3</td>\n",
" <td>122</td>\n",
" <td>186.9</td>\n",
" <td>121</td>\n",
" <td>10.1</td>\n",
" <td>3</td>\n",
" <td>3</td>\n",
" <td>0</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" State Account length Area code International plan Voice mail plan \\\n",
"0 KS 128 415 0 1 \n",
"1 OH 107 415 0 1 \n",
"2 NJ 137 415 0 0 \n",
"3 OH 84 408 1 0 \n",
"4 OK 75 415 1 0 \n",
"\n",
" Number vmail messages Total day minutes Total day calls \\\n",
"0 25 265.1 110 \n",
"1 26 161.6 123 \n",
"2 0 243.4 114 \n",
"3 0 299.4 71 \n",
"4 0 166.7 113 \n",
"\n",
" Total eve minutes Total eve calls Total night minutes Total night calls \\\n",
"0 197.4 99 244.7 91 \n",
"1 195.5 103 254.4 103 \n",
"2 121.2 110 162.6 104 \n",
"3 61.9 88 196.9 89 \n",
"4 148.3 122 186.9 121 \n",
"\n",
" Total intl minutes Total intl calls Customer service calls Churn \n",
"0 10.0 3 1 0 \n",
"1 13.7 3 1 0 \n",
"2 12.2 5 0 0 \n",
"3 6.6 7 2 0 \n",
"4 10.1 3 3 0 "
]
},
"execution_count": 82,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df.head()"
]
},
{
"cell_type": "code",
"execution_count": 59,
"metadata": {},
"outputs": [],
"source": [
"tsne = TSNE(random_state=17)"
]
},
{
"cell_type": "code",
"execution_count": 60,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"CPU times: user 1min 13s, sys: 4.34 s, total: 1min 17s\n",
"Wall time: 1min 17s\n"
]
}
],
"source": [
"%%time\n",
"X_repr = tsne.fit_transform(df)"
]
},
{
"cell_type": "code",
"execution_count": 61,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(3333, 2)"
]
},
"execution_count": 61,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"X_repr.shape"
]
},
{
"cell_type": "code",
"execution_count": 62,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.rcParams['figure.figsize'] = 8,6\n",
"plt.scatter(X_repr[df['Churn']==1,0],\n",
" X_repr[df['Churn']==1,1],alpha = 0.5)\n",
"plt.scatter(X_repr[df['Churn']==0,0],\n",
" X_repr[df['Churn']==0,1],alpha = 0.5);\n",
"plt.title('tSNE representation');"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Features one at a time\n",
"### Numeric"
]
},
{
"cell_type": "code",
"execution_count": 63,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"count 3333.000000\n",
"mean 179.775098\n",
"std 54.467389\n",
"min 0.000000\n",
"25% 143.700000\n",
"50% 179.400000\n",
"75% 216.400000\n",
"max 350.800000\n",
"Name: Total day minutes, dtype: float64"
]
},
"execution_count": 63,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df['Total day minutes'].describe()"
]
},
{
"cell_type": "code",
"execution_count": 64,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 576x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.rcParams['figure.figsize'] = (8,6)\n",
"sns.boxplot(x = 'Total day minutes', data = df);"
]
},
{
"cell_type": "code",
"execution_count": 65,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 576x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"df['Total day minutes'].hist();"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Categorical "
]
},
{
"cell_type": "code",
"execution_count": 83,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"51"
]
},
"execution_count": 83,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df['State'].nunique()"
]
},
{
"cell_type": "code",
"execution_count": 114,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"WV 106\n",
"MN 84\n",
"NY 83\n",
"AL 80\n",
"OR 78\n",
"Name: State, dtype: int64"
]
},
"execution_count": 114,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df['State'].value_counts().head()"
]
},
{
"cell_type": "code",
"execution_count": 115,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0 0.855086\n",
"1 0.144914\n",
"Name: Churn, dtype: float64"
]
},
"execution_count": 115,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df['Churn'].value_counts(normalize = True)"
]
},
{
"cell_type": "code",
"execution_count": 116,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.rcParams['figure.figsize'] = (8,6)\n",
"sns.countplot(x = 'Churn', data = df);"
]
},
{
"cell_type": "code",
"execution_count": 117,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"sns.countplot(x = 'State', data = df);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Interaction between features\n",
"### Numeric-numeric"
]
},
{
"cell_type": "code",
"execution_count": 118,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.scatter(df['Total day minutes'],\n",
" df['Customer service calls']);"
]
},
{
"cell_type": "code",
"execution_count": 119,
"metadata": {},
"outputs": [],
"source": [
"states = df['State']\n",
"df.drop('State',axis = 1, inplace = True)"
]
},
{
"cell_type": "code",
"execution_count": 120,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<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>Account length</th>\n",
" <th>Area code</th>\n",
" <th>International plan</th>\n",
" <th>Voice mail plan</th>\n",
" <th>Number vmail messages</th>\n",
" <th>Total day minutes</th>\n",
" <th>Total day calls</th>\n",
" <th>Total eve minutes</th>\n",
" <th>Total eve calls</th>\n",
" <th>Total night minutes</th>\n",
" <th>Total night calls</th>\n",
" <th>Total intl minutes</th>\n",
" <th>Total intl calls</th>\n",
" <th>Customer service calls</th>\n",
" <th>Churn</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>128</td>\n",
" <td>415</td>\n",
" <td>No</td>\n",
" <td>Yes</td>\n",
" <td>25</td>\n",
" <td>265.1</td>\n",
" <td>110</td>\n",
" <td>197.4</td>\n",
" <td>99</td>\n",
" <td>244.7</td>\n",
" <td>91</td>\n",
" <td>10.0</td>\n",
" <td>3</td>\n",
" <td>1</td>\n",
" <td>0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>107</td>\n",
" <td>415</td>\n",
" <td>No</td>\n",
" <td>Yes</td>\n",
" <td>26</td>\n",
" <td>161.6</td>\n",
" <td>123</td>\n",
" <td>195.5</td>\n",
" <td>103</td>\n",
" <td>254.4</td>\n",
" <td>103</td>\n",
" <td>13.7</td>\n",
" <td>3</td>\n",
" <td>1</td>\n",
" <td>0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>137</td>\n",
" <td>415</td>\n",
" <td>No</td>\n",
" <td>No</td>\n",
" <td>0</td>\n",
" <td>243.4</td>\n",
" <td>114</td>\n",
" <td>121.2</td>\n",
" <td>110</td>\n",
" <td>162.6</td>\n",
" <td>104</td>\n",
" <td>12.2</td>\n",
" <td>5</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>84</td>\n",
" <td>408</td>\n",
" <td>Yes</td>\n",
" <td>No</td>\n",
" <td>0</td>\n",
" <td>299.4</td>\n",
" <td>71</td>\n",
" <td>61.9</td>\n",
" <td>88</td>\n",
" <td>196.9</td>\n",
" <td>89</td>\n",
" <td>6.6</td>\n",
" <td>7</td>\n",
" <td>2</td>\n",
" <td>0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>75</td>\n",
" <td>415</td>\n",
" <td>Yes</td>\n",
" <td>No</td>\n",
" <td>0</td>\n",
" <td>166.7</td>\n",
" <td>113</td>\n",
" <td>148.3</td>\n",
" <td>122</td>\n",
" <td>186.9</td>\n",
" <td>121</td>\n",
" <td>10.1</td>\n",
" <td>3</td>\n",
" <td>3</td>\n",
" <td>0</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" Account length Area code International plan Voice mail plan \\\n",
"0 128 415 No Yes \n",
"1 107 415 No Yes \n",
"2 137 415 No No \n",
"3 84 408 Yes No \n",
"4 75 415 Yes No \n",
"\n",
" Number vmail messages Total day minutes Total day calls \\\n",
"0 25 265.1 110 \n",
"1 26 161.6 123 \n",
"2 0 243.4 114 \n",
"3 0 299.4 71 \n",
"4 0 166.7 113 \n",
"\n",
" Total eve minutes Total eve calls Total night minutes Total night calls \\\n",
"0 197.4 99 244.7 91 \n",
"1 195.5 103 254.4 103 \n",
"2 121.2 110 162.6 104 \n",
"3 61.9 88 196.9 89 \n",
"4 148.3 122 186.9 121 \n",
"\n",
" Total intl minutes Total intl calls Customer service calls Churn \n",
"0 10.0 3 1 0 \n",
"1 13.7 3 1 0 \n",
"2 12.2 5 0 0 \n",
"3 6.6 7 2 0 \n",
"4 10.1 3 3 0 "
]
},
"execution_count": 120,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df.head()"
]
},
{
"cell_type": "code",
"execution_count": 121,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Account length 0.006216\n",
"Area code -0.008264\n",
"Number vmail messages 0.000778\n",
"Total day minutes 1.000000\n",
"Total day calls 0.006750\n",
"Total eve minutes 0.007043\n",
"Total eve calls 0.015769\n",
"Total night minutes 0.004323\n",
"Total night calls 0.022972\n",
"Total intl minutes -0.010155\n",
"Total intl calls 0.008033\n",
"Customer service calls -0.013423\n",
"Churn 0.205151\n",
"dtype: float64"
]
},
"execution_count": 121,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df.corrwith(df['Total day minutes'])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Categorical-categorical"
]
},
{
"cell_type": "code",
"execution_count": 122,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<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>Customer service calls</th>\n",
" <th>0</th>\n",
" <th>1</th>\n",
" <th>2</th>\n",
" <th>3</th>\n",
" <th>4</th>\n",
" <th>5</th>\n",
" <th>6</th>\n",
" <th>7</th>\n",
" <th>8</th>\n",
" <th>9</th>\n",
" </tr>\n",
" <tr>\n",
" <th>Churn</th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>605</td>\n",
" <td>1059</td>\n",
" <td>672</td>\n",
" <td>385</td>\n",
" <td>90</td>\n",
" <td>26</td>\n",
" <td>8</td>\n",
" <td>4</td>\n",
" <td>1</td>\n",
" <td>0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>92</td>\n",
" <td>122</td>\n",
" <td>87</td>\n",
" <td>44</td>\n",
" <td>76</td>\n",
" <td>40</td>\n",
" <td>14</td>\n",
" <td>5</td>\n",
" <td>1</td>\n",
" <td>2</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
"Customer service calls 0 1 2 3 4 5 6 7 8 9\n",
"Churn \n",
"0 605 1059 672 385 90 26 8 4 1 0\n",
"1 92 122 87 44 76 40 14 5 1 2"
]
},
"execution_count": 122,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"pd.crosstab(df['Churn'],df['Customer service calls'])"
]
},
{
"cell_type": "code",
"execution_count": 123,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.rcParams['figure.figsize'] = (8,6)\n",
"sns.countplot(x = 'Customer service calls',hue = 'Churn', data = df);\n",
"plt.title('Customer service calls for loyal and churned');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Categoric - numeric"
]
},
{
"cell_type": "code",
"execution_count": 124,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np"
]
},
{
"cell_type": "code",
"execution_count": 125,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<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>Total day minutes</th>\n",
" <th>Customer service calls</th>\n",
" </tr>\n",
" <tr>\n",
" <th>Churn</th>\n",
" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>175.175754</td>\n",
" <td>1.449825</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>206.914079</td>\n",
" <td>2.229814</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" Total day minutes Customer service calls\n",
"Churn \n",
"0 175.175754 1.449825\n",
"1 206.914079 2.229814"
]
},
"execution_count": 125,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df.groupby('Churn')['Total day minutes',\n",
" 'Customer service calls'].mean()"
]
},
{
"cell_type": "code",
"execution_count": 126,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<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 tr th {\n",
" text-align: left;\n",
" }\n",
"\n",
" .dataframe thead tr:last-of-type th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr>\n",
" <th></th>\n",
" <th colspan=\"2\" halign=\"left\">Total day minutes</th>\n",
" <th colspan=\"2\" halign=\"left\">Customer service calls</th>\n",
" </tr>\n",
" <tr>\n",
" <th></th>\n",
" <th>median</th>\n",
" <th>std</th>\n",
" <th>median</th>\n",
" <th>std</th>\n",
" </tr>\n",
" <tr>\n",
" <th>Churn</th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>177.2</td>\n",
" <td>50.181655</td>\n",
" <td>1</td>\n",
" <td>1.163883</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>217.6</td>\n",
" <td>68.997792</td>\n",
" <td>2</td>\n",
" <td>1.853275</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" Total day minutes Customer service calls \n",
" median std median std\n",
"Churn \n",
"0 177.2 50.181655 1 1.163883\n",
"1 217.6 68.997792 2 1.853275"
]
},
"execution_count": 126,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df.groupby('Churn')['Total day minutes',\n",
" 'Customer service calls'].agg([np.median,\n",
" np.std])"
]
},
{
"cell_type": "code",
"execution_count": 127,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 576x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.rcParams['figure.figsize'] = (8,6)\n",
"sns.boxplot(x = 'Churn', y = 'Total day minutes', data = df);"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.7.0"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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