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@pgolding
Last active February 14, 2019 20:58
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{
"cells": [
{
"metadata": {
"editable": true,
"deletable": true,
"collapsed": true,
"trusted": true
},
"cell_type": "code",
"source": "import warnings\nwarnings.filterwarnings('ignore')\n\n%load_ext autoreload\n%autoreload 2\n\nimport pandas as pd\nimport numpy as np\nfrom sklearn import preprocessing\nimport matplotlib.pyplot as plt \nfrom re import sub\nfrom decimal import Decimal # We will use decimal for money and rate values\n\nplt.rc(\"font\", size=14)\nfrom sklearn.linear_model import LogisticRegression\nfrom sklearn.metrics import classification_report\nfrom sklearn.metrics import confusion_matrix\nfrom sklearn.metrics import log_loss\n\n#from sklearn.cross_validation import train_test_split\nfrom sklearn.model_selection import train_test_split\nfrom sklearn import metrics\nfrom utils import utils\n\nimport seaborn as sns\nsns.set(style=\"white\")\nsns.set(style=\"whitegrid\", color_codes=True)",
"execution_count": 1,
"outputs": []
},
{
"metadata": {
"editable": true,
"deletable": true,
"collapsed": true,
"trusted": true
},
"cell_type": "code",
"source": "data = pd.read_csv(\"flattened.csv\")",
"execution_count": 2,
"outputs": []
},
{
"metadata": {
"editable": true,
"deletable": true,
"collapsed": false,
"trusted": true
},
"cell_type": "code",
"source": "data.head(1)",
"execution_count": 3,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": " FICO Amount Previous Rate Competition rate Cost of Funds Rate y \\\n0 702.0 26500.0 3.99 4.99 1.1 6.59 0.0 \n\n ln_amt ln_FICO Tier_1.0 ... day_23 day_24 day_25 day_26 \\\n0 10.1849 6.553933 0 ... 0 0 0 0 \n\n day_27 day_28 day_29 day_30 day_31 year_2005 \n0 0 0 0 0 0 1 \n\n[1 rows x 75 columns]",
"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>FICO</th>\n <th>Amount</th>\n <th>Previous Rate</th>\n <th>Competition rate</th>\n <th>Cost of Funds</th>\n <th>Rate</th>\n <th>y</th>\n <th>ln_amt</th>\n <th>ln_FICO</th>\n <th>Tier_1.0</th>\n <th>...</th>\n <th>day_23</th>\n <th>day_24</th>\n <th>day_25</th>\n <th>day_26</th>\n <th>day_27</th>\n <th>day_28</th>\n <th>day_29</th>\n <th>day_30</th>\n <th>day_31</th>\n <th>year_2005</th>\n </tr>\n </thead>\n <tbody>\n <tr>\n <th>0</th>\n <td>702.0</td>\n <td>26500.0</td>\n <td>3.99</td>\n <td>4.99</td>\n <td>1.1</td>\n <td>6.59</td>\n <td>0.0</td>\n <td>10.1849</td>\n <td>6.553933</td>\n <td>0</td>\n <td>...</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>0</td>\n <td>0</td>\n <td>0</td>\n <td>1</td>\n </tr>\n </tbody>\n</table>\n<p>1 rows × 75 columns</p>\n</div>"
},
"metadata": {},
"execution_count": 3
}
]
},
{
"metadata": {
"editable": true,
"deletable": true
},
"cell_type": "markdown",
"source": "# Reproducing Examples from Book"
},
{
"metadata": {
"editable": true,
"deletable": true,
"collapsed": true,
"trusted": true
},
"cell_type": "code",
"source": "model1_vars = [\"Rate\"]",
"execution_count": 4,
"outputs": []
},
{
"metadata": {
"editable": true,
"deletable": true,
"collapsed": true,
"trusted": true
},
"cell_type": "code",
"source": "logreg = LogisticRegression()",
"execution_count": 5,
"outputs": []
},
{
"metadata": {
"editable": true,
"deletable": true,
"collapsed": false,
"trusted": true
},
"cell_type": "code",
"source": "y_pred, conf_matrix, log_loss, coef, logreg = utils.run_model(data,model1_vars,logreg)\ncoef",
"execution_count": 6,
"outputs": [
{
"output_type": "stream",
"text": " precision recall f1-score support\n\n 0.0 0.76 1.00 0.86 7612\n 1.0 0.00 0.00 0.00 2387\n\n micro avg 0.76 0.76 0.76 9999\n macro avg 0.38 0.50 0.43 9999\nweighted avg 0.58 0.76 0.66 9999\n\n",
"name": "stdout"
},
{
"output_type": "stream",
"text": "/Users/paulg/anaconda/envs/pricing/lib/python3.5/site-packages/sklearn/metrics/classification.py:1143: UndefinedMetricWarning: Precision and F-score are ill-defined and being set to 0.0 in labels with no predicted samples.\n 'precision', 'predicted', average, warn_for)\n/Users/paulg/anaconda/envs/pricing/lib/python3.5/site-packages/sklearn/metrics/classification.py:1143: UndefinedMetricWarning: Precision and F-score are ill-defined and being set to 0.0 in labels with no predicted samples.\n 'precision', 'predicted', average, warn_for)\n/Users/paulg/anaconda/envs/pricing/lib/python3.5/site-packages/sklearn/metrics/classification.py:1143: UndefinedMetricWarning: Precision and F-score are ill-defined and being set to 0.0 in labels with no predicted samples.\n 'precision', 'predicted', average, warn_for)\n",
"name": "stderr"
},
{
"output_type": "execute_result",
"data": {
"text/plain": "{'Rate': -0.17319181090504437, 'intercept': 0.05929121871819316}"
},
"metadata": {},
"execution_count": 6
}
]
},
{
"metadata": {
"editable": true,
"deletable": true,
"collapsed": false,
"trusted": true
},
"cell_type": "code",
"source": "#pd.crosstab(data.Rate,data.y)\nloans_taken = data[data.y==1]\n# plt.plot(data.Rate,data.y==1,kind='scatter')\n# plt.title('Purchase Frequency for FICO')\n# plt.xlabel('Rate')\n# plt.ylabel('Frequency of Purchase')\n# plt.savefig('purchase_rate')\n#ax1 = sns.distplot(loans_taken.Rate)\nsns.set(style=\"darkgrid\")\ng = sns.jointplot(\"Rate\", \"FICO\", data=loans_taken, kind=\"reg\",\n xlim=(0, 15), ylim=(600, 850), color=\"m\", height=7)",
"execution_count": 7,
"outputs": [
{
"output_type": "display_data",
"data": {
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\n",
"text/plain": "<matplotlib.figure.Figure at 0x11e8bfd30>"
},
"metadata": {}
}
]
},
{
"metadata": {
"editable": true,
"deletable": true,
"collapsed": false,
"trusted": true
},
"cell_type": "code",
"source": "sns.distplot(data['FICO'])",
"execution_count": 8,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": "<matplotlib.axes._subplots.AxesSubplot at 0x12295a550>"
},
"metadata": {},
"execution_count": 8
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": "<matplotlib.figure.Figure at 0x11f0370f0>"
},
"metadata": {}
}
]
},
{
"metadata": {
"editable": true,
"deletable": true,
"collapsed": false,
"trusted": true
},
"cell_type": "code",
"source": "model2_vars = [\"Rate\",\"Previous Rate\",\"Cost of Funds\",\"Competition rate\"]\ny_pred, conf_matrix, log_loss, coef, logreg = utils.run_model(data,model2_vars,logreg)\ncoef",
"execution_count": 9,
"outputs": [
{
"output_type": "stream",
"text": " precision recall f1-score support\n\n 0.0 0.77 0.97 0.86 7612\n 1.0 0.53 0.10 0.17 2387\n\n micro avg 0.76 0.76 0.76 9999\n macro avg 0.65 0.54 0.52 9999\nweighted avg 0.72 0.76 0.70 9999\n\n",
"name": "stdout"
},
{
"output_type": "execute_result",
"data": {
"text/plain": "{'Competition rate': 0.4072258351674487,\n 'Cost of Funds': -0.07427052258419671,\n 'Previous Rate': 0.1163405899923297,\n 'Rate': -0.25704646873604486,\n 'intercept': -1.6724987792132657}"
},
"metadata": {},
"execution_count": 9
}
]
},
{
"metadata": {
"editable": true,
"deletable": true,
"collapsed": false,
"trusted": true
},
"cell_type": "code",
"source": "model3_vars = [\"Rate\",\"Cost of Funds\",\"Competition rate\",\"Previous Rate\",\"ln_amt\",\"ln_FICO\"]\ny_pred, conf_matrix, log_loss, coef, logreg = utils.run_model(data,model3_vars,logreg)\ncoef",
"execution_count": 10,
"outputs": [
{
"output_type": "stream",
"text": " precision recall f1-score support\n\n 0.0 0.82 0.93 0.87 7612\n 1.0 0.61 0.37 0.46 2387\n\n micro avg 0.79 0.79 0.79 9999\n macro avg 0.72 0.65 0.67 9999\nweighted avg 0.77 0.79 0.77 9999\n\n",
"name": "stdout"
},
{
"output_type": "execute_result",
"data": {
"text/plain": "{'Competition rate': 0.6911660649452835,\n 'Cost of Funds': -0.05996274798006092,\n 'Previous Rate': 0.03720500380104515,\n 'Rate': -0.27866761990989014,\n 'intercept': 7.79575457602533,\n 'ln_FICO': 1.340247794822258,\n 'ln_amt': -1.9604850051437432}"
},
"metadata": {},
"execution_count": 10
}
]
},
{
"metadata": {
"editable": true,
"deletable": true,
"collapsed": false,
"trusted": true
},
"cell_type": "code",
"source": "model4_vars = [\"Rate\",\"Cost of Funds\",\"Competition rate\",\"Previous Rate\",\"ln_amt\",\"ln_FICO\",'Loan Type_U', 'Loan Type_N']\ny_pred, conf_matrix, log_loss, coef, logreg = utils.run_model(data,model4_vars,logreg)\ncoef",
"execution_count": 11,
"outputs": [
{
"output_type": "stream",
"text": " precision recall f1-score support\n\n 0.0 0.83 0.93 0.88 7612\n 1.0 0.65 0.39 0.48 2387\n\n micro avg 0.80 0.80 0.80 9999\n macro avg 0.74 0.66 0.68 9999\nweighted avg 0.79 0.80 0.78 9999\n\n",
"name": "stdout"
},
{
"output_type": "execute_result",
"data": {
"text/plain": "{'Competition rate': 0.8891567600396206,\n 'Cost of Funds': -0.05767158810339534,\n 'Loan Type_N': 1.7463473469437512,\n 'Loan Type_U': 2.0823141339639295,\n 'Previous Rate': 0.22368352337865963,\n 'Rate': -0.35739884559516505,\n 'intercept': 7.688534996885051,\n 'ln_FICO': 1.0286934244207715,\n 'ln_amt': -1.9762799000818507}"
},
"metadata": {},
"execution_count": 11
}
]
},
{
"metadata": {
"editable": true,
"deletable": true,
"collapsed": false,
"trusted": true
},
"cell_type": "code",
"source": "res = utils.stats_pred(data,model4_vars)",
"execution_count": 12,
"outputs": [
{
"output_type": "stream",
"text": "Optimization terminated successfully.\n Current function value: 0.447496\n Iterations 6\n Results: Logit\n=================================================================\nModel: Logit Pseudo R-squared: 0.218 \nDependent Variable: y AIC: 35814.7896\nDate: 2019-02-14 12:40 BIC: 35883.5625\nNo. Observations: 39999 Log-Likelihood: -17899. \nDf Model: 7 LL-Null: -22887. \nDf Residuals: 39991 LLR p-value: 0.0000 \nConverged: 1.0000 Scale: 1.0000 \nNo. Iterations: 6.0000 \n-----------------------------------------------------------------\n Coef. Std.Err. z P>|z| [0.025 0.975]\n-----------------------------------------------------------------\nRate -0.3276 0.0082 -39.8625 0.0000 -0.3437 -0.3115\nCost of Funds -0.0847 0.0513 -1.6507 0.0988 -0.1852 0.0159\nCompetition rate 0.8859 0.0335 26.4177 0.0000 0.8201 0.9516\nPrevious Rate 0.2268 0.0080 28.2910 0.0000 0.2111 0.2425\nln_amt -1.9679 0.0325 -60.4865 0.0000 -2.0317 -1.9041\nln_FICO 2.1599 0.0475 45.4539 0.0000 2.0668 2.2531\nLoan Type_U 2.1028 0.0772 27.2527 0.0000 1.9515 2.2540\nLoan Type_N 1.7653 0.0851 20.7419 0.0000 1.5985 1.9321\n=================================================================\n\n",
"name": "stdout"
}
]
},
{
"metadata": {
"editable": true,
"deletable": true,
"collapsed": false,
"trusted": true
},
"cell_type": "code",
"source": "utils.plot_confusion(conf_matrix)",
"execution_count": 13,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": "<matplotlib.figure.Figure at 0x1201302e8>"
},
"metadata": {}
}
]
},
{
"metadata": {
"editable": true,
"deletable": true,
"collapsed": false,
"trusted": true
},
"cell_type": "code",
"source": "utils.plot_roc(data,model4_vars, logreg)",
"execution_count": 14,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": "<matplotlib.figure.Figure at 0x11f5f9e80>"
},
"metadata": {}
}
]
},
{
"metadata": {
"editable": true,
"deletable": true,
"collapsed": false,
"trusted": true
},
"cell_type": "code",
"source": "res.conf_int()",
"execution_count": 15,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": " 0 1\nRate -0.343700 -0.311486\nCost of Funds -0.185197 0.015863\nCompetition rate 0.820136 0.951582\nPrevious Rate 0.211109 0.242537\nln_amt -2.031669 -1.904136\nln_FICO 2.066809 2.253082\nLoan Type_U 1.951549 2.254005\nLoan Type_N 1.598507 1.932126",
"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>0</th>\n <th>1</th>\n </tr>\n </thead>\n <tbody>\n <tr>\n <th>Rate</th>\n <td>-0.343700</td>\n <td>-0.311486</td>\n </tr>\n <tr>\n <th>Cost of Funds</th>\n <td>-0.185197</td>\n <td>0.015863</td>\n </tr>\n <tr>\n <th>Competition rate</th>\n <td>0.820136</td>\n <td>0.951582</td>\n </tr>\n <tr>\n <th>Previous Rate</th>\n <td>0.211109</td>\n <td>0.242537</td>\n </tr>\n <tr>\n <th>ln_amt</th>\n <td>-2.031669</td>\n <td>-1.904136</td>\n </tr>\n <tr>\n <th>ln_FICO</th>\n <td>2.066809</td>\n <td>2.253082</td>\n </tr>\n <tr>\n <th>Loan Type_U</th>\n <td>1.951549</td>\n <td>2.254005</td>\n </tr>\n <tr>\n <th>Loan Type_N</th>\n <td>1.598507</td>\n <td>1.932126</td>\n </tr>\n </tbody>\n</table>\n</div>"
},
"metadata": {},
"execution_count": 15
}
]
},
{
"metadata": {
"editable": true,
"deletable": true,
"collapsed": false,
"trusted": true
},
"cell_type": "code",
"source": "np.exp(res.params)",
"execution_count": 16,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": "Rate 0.720656\nCost of Funds 0.918818\nCompetition rate 2.425066\nPrevious Rate 1.254608\nln_amt 0.139750\nln_FICO 8.670666\nLoan Type_U 8.188879\nLoan Type_N 5.843420\ndtype: float64"
},
"metadata": {},
"execution_count": 16
}
]
},
{
"metadata": {
"editable": true,
"deletable": true
},
"cell_type": "markdown",
"source": "# Co-linearity\n\nPer Phillips, notice that model change is sensitive to Rate.\n\nRate is determined by FICO and Amount:"
},
{
"metadata": {
"editable": true,
"deletable": true,
"collapsed": false,
"trusted": true
},
"cell_type": "code",
"source": "from statsmodels.formula.api import ols\ndata.columns",
"execution_count": 17,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": "Index(['FICO', 'Amount', 'Previous Rate', 'Competition rate', 'Cost of Funds',\n 'Rate', 'y', 'ln_amt', 'ln_FICO', 'Tier_1.0', 'Tier_2.0', 'Tier_3.0',\n 'Tier_4.0', 'Term_36.0', 'Term_48.0', 'Term_60.0', 'Term_66.0',\n 'Term_72.0', 'Loan Type_N', 'Loan Type_R', 'Loan Type_U', 'Partner_1.0',\n 'Partner_2.0', 'Partner_3.0', 'fico_band_band_01', 'fico_band_band_02',\n 'fico_band_band_03', 'fico_band_band_04', 'fico_band_band_05',\n 'fico_band_band_06', 'fico_band_band_07', 'fico_band_band_08',\n 'fico_band_band_09', 'fico_band_band_10', 'month_3', 'month_4',\n 'month_5', 'month_6', 'month_7', 'month_8', 'month_9', 'month_10',\n 'month_11', 'day_1', 'day_2', 'day_3', 'day_4', 'day_5', 'day_6',\n 'day_7', 'day_8', 'day_9', 'day_10', 'day_11', 'day_12', 'day_13',\n 'day_14', 'day_15', 'day_16', 'day_17', 'day_18', 'day_19', 'day_20',\n 'day_21', 'day_22', 'day_23', 'day_24', 'day_25', 'day_26', 'day_27',\n 'day_28', 'day_29', 'day_30', 'day_31', 'year_2005'],\n dtype='object')"
},
"metadata": {},
"execution_count": 17
}
]
},
{
"metadata": {
"editable": true,
"deletable": true,
"collapsed": false,
"trusted": true
},
"cell_type": "code",
"source": "mod = ols(formula='Rate ~ ln_FICO + ln_amt', data=data)\nres = mod.fit()\nprint(res.summary())",
"execution_count": 18,
"outputs": [
{
"output_type": "stream",
"text": " OLS Regression Results \n==============================================================================\nDep. Variable: Rate R-squared: 0.644\nModel: OLS Adj. R-squared: 0.644\nMethod: Least Squares F-statistic: 4.522e+04\nDate: Thu, 14 Feb 2019 Prob (F-statistic): 0.00\nTime: 12:40:04 Log-Likelihood: -81319.\nNo. Observations: 50000 AIC: 1.626e+05\nDf Residuals: 49997 BIC: 1.627e+05\nDf Model: 2 \nCovariance Type: nonrobust \n==============================================================================\n coef std err t P>|t| [0.025 0.975]\n------------------------------------------------------------------------------\nIntercept 175.7459 0.566 310.522 0.000 174.637 176.855\nln_FICO -25.5512 0.085 -299.592 0.000 -25.718 -25.384\nln_amt -0.1056 0.011 -9.515 0.000 -0.127 -0.084\n==============================================================================\nOmnibus: 716.347 Durbin-Watson: 1.870\nProb(Omnibus): 0.000 Jarque-Bera (JB): 902.729\nSkew: -0.217 Prob(JB): 9.44e-197\nKurtosis: 3.496 Cond. No. 1.25e+03\n==============================================================================\n\nWarnings:\n[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n[2] The condition number is large, 1.25e+03. This might indicate that there are\nstrong multicollinearity or other numerical problems.\n",
"name": "stdout"
}
]
},
{
"metadata": {
"editable": true,
"deletable": true,
"collapsed": false,
"trusted": true
},
"cell_type": "code",
"source": "import statsmodels.api as sm\nfig = plt.figure(figsize=(12,8))\nfig = sm.graphics.plot_partregress_grid(res, fig=fig)",
"execution_count": 19,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": "<matplotlib.figure.Figure at 0x11f67e3c8>"
},
"metadata": {}
}
]
},
{
"metadata": {
"editable": true,
"deletable": true,
"collapsed": false,
"trusted": true
},
"cell_type": "code",
"source": "fig = plt.figure(figsize=(12, 8))\nfig = sm.graphics.plot_ccpr_grid(res, fig=fig)",
"execution_count": 20,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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