{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Lab 7 - Linear regression continued\n", "\n", "We will continued learning about linear regression by predicting health insurance prices.\n", "\n", "First download the dataset from GitHub: [https://github.com/stedy/Machine-Learning-with-R-datasets/blob/master/insurance.csv](https://github.com/stedy/Machine-Learning-with-R-datasets/blob/master/insurance.csv)\n", "\n", "In this data, each row represents an insurance policy and the 7 columns contain the following information about it:\n", "- age: age of policy holder\n", "- sex: sex of policy holder\n", "- bmi: boday mass index (bmi) of policy holder. bmi is a (sometimes unreliable) measurement of body fat in adults\n", "- children: number of children (dependents) on the policy\n", "- smoker: whether the policy holder is a smoker\n", "- region: region of the country the policy holder lives in\n", "- charges: price for insurance policy" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [], "source": [ "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "import statsmodels.formula.api as smf\n", "import seaborn as sns\n", "\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Load the CSV file into a dataframe and display it:" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
agesexbmichildrensmokerregioncharges
019female27.9000yessouthwest16884.92400
118male33.7701nosoutheast1725.55230
228male33.0003nosoutheast4449.46200
333male22.7050nonorthwest21984.47061
432male28.8800nonorthwest3866.85520
531female25.7400nosoutheast3756.62160
646female33.4401nosoutheast8240.58960
737female27.7403nonorthwest7281.50560
837male29.8302nonortheast6406.41070
960female25.8400nonorthwest28923.13692
\n", "
" ], "text/plain": [ " age sex bmi children smoker region charges\n", "0 19 female 27.900 0 yes southwest 16884.92400\n", "1 18 male 33.770 1 no southeast 1725.55230\n", "2 28 male 33.000 3 no southeast 4449.46200\n", "3 33 male 22.705 0 no northwest 21984.47061\n", "4 32 male 28.880 0 no northwest 3866.85520\n", "5 31 female 25.740 0 no southeast 3756.62160\n", "6 46 female 33.440 1 no southeast 8240.58960\n", "7 37 female 27.740 3 no northwest 7281.50560\n", "8 37 male 29.830 2 no northeast 6406.41070\n", "9 60 female 25.840 0 no northwest 28923.13692" ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" } ], "source": [ "insurance = pd.read_csv(\"insurance.csv\")\n", "insurance.head(10)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exploratory Data Analysis\n", "\n", "To get a feel for the data, let's do some quick exploratory data analysis.\n", "\n", "What's the histogram of the bmi column?" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 38, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "insurance[\"bmi\"].hist(bins =20)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "What distribution does the bmi data have? *Normal*\n", "\n", "Plot scatter plots of all pairs of quantitative variables (hint: use the Seaborn function `pairplot` from Lab 1 to plot them all at once)" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 39, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.pairplot(insurance)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Do any of the variables have a linear relationship with the charges?\n", "\n", "Use Seaborn to make a scatter plot with bmi on the x axis, charges on the y axis, and colored by whether the person is a smoker or not (see Lab 3)." ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 41, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.relplot(x = \"bmi\", y=\"charges\", hue =\"smoker\",data=insurance)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Which appears to have the larger effect on the charge: the policy holder's bmi or whether they are a smoker?\n", "\n", "Next use Seaborn to make a scatter plot with age on the x axis and charges on the y axis, colored by whether the person is a smoker." ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 42, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.relplot(x = \"age\", y = \"charges\", hue = \"smoker\", data = insurance)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "What do you notice about the plot?\n", "\n", "## Linear regression\n", "\n", "Perform linear regression to predict the insurance charge, with age as the independent variable." ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
OLS Regression Results
Dep. Variable: charges R-squared: 0.089
Model: OLS Adj. R-squared: 0.089
Method: Least Squares F-statistic: 131.2
Date: Thu, 19 Sep 2019 Prob (F-statistic): 4.89e-29
Time: 18:05:28 Log-Likelihood: -14415.
No. Observations: 1338 AIC: 2.883e+04
Df Residuals: 1336 BIC: 2.884e+04
Df Model: 1
Covariance Type: nonrobust
\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
coef std err t P>|t| [0.025 0.975]
Intercept 3165.8850 937.149 3.378 0.001 1327.440 5004.330
age 257.7226 22.502 11.453 0.000 213.579 301.866
\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Omnibus: 399.600 Durbin-Watson: 2.033
Prob(Omnibus): 0.000 Jarque-Bera (JB): 864.239
Skew: 1.733 Prob(JB): 2.15e-188
Kurtosis: 4.869 Cond. No. 124.


Warnings:
[1] Standard Errors assume that the covariance matrix of the errors is correctly specified." ], "text/plain": [ "\n", "\"\"\"\n", " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: charges R-squared: 0.089\n", "Model: OLS Adj. R-squared: 0.089\n", "Method: Least Squares F-statistic: 131.2\n", "Date: Thu, 19 Sep 2019 Prob (F-statistic): 4.89e-29\n", "Time: 18:05:28 Log-Likelihood: -14415.\n", "No. Observations: 1338 AIC: 2.883e+04\n", "Df Residuals: 1336 BIC: 2.884e+04\n", "Df Model: 1 \n", "Covariance Type: nonrobust \n", "==============================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "Intercept 3165.8850 937.149 3.378 0.001 1327.440 5004.330\n", "age 257.7226 22.502 11.453 0.000 213.579 301.866\n", "==============================================================================\n", "Omnibus: 399.600 Durbin-Watson: 2.033\n", "Prob(Omnibus): 0.000 Jarque-Bera (JB): 864.239\n", "Skew: 1.733 Prob(JB): 2.15e-188\n", "Kurtosis: 4.869 Cond. No. 124.\n", "==============================================================================\n", "\n", "Warnings:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n", "\"\"\"" ] }, "execution_count": 43, "metadata": {}, "output_type": "execute_result" } ], "source": [ "lm = smf.ols(\"charges ~ age\", data = insurance).fit()\n", "lm.summary()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "What is the equation for the linear model? $y = 3166 + 258x$\n", "\n", "How much does this model predict your insurance will increase next year when you are 1 year older? $\\beta_1 = 258$\n", "\n", "How much would a 25 year old pay? We can predict this using our model. First we make a new DataFrame with the age with want to make the prediction for. " ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
age
025
\n", "
" ], "text/plain": [ " age\n", "0 25" ] }, "execution_count": 44, "metadata": {}, "output_type": "execute_result" } ], "source": [ "new_data = pd.DataFrame({'age' :[25]})\n", "new_data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Then we make the prediction:" ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0 9608.950473\n", "dtype: float64" ] }, "execution_count": 45, "metadata": {}, "output_type": "execute_result" } ], "source": [ "lm.predict(new_data)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "9616" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "3166 + 258*25" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "9608.95" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "3165.8850 + 257.7226*25" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "What about if you are 30, 40, or 50 years old? We can compute the predicted charges of all of these ages at once by making a data frame containing all three ages: " ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
age
030
140
250
\n", "
" ], "text/plain": [ " age\n", "0 30\n", "1 40\n", "2 50" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "three_ages = pd.DataFrame({'age': [30,40,50]})\n", "three_ages" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Make the prediction using this new dataframe:" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0 10897.563566\n", "1 13474.789753\n", "2 16052.015939\n", "dtype: float64" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "lm.predict(three_ages)" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "Use the Seaborn package to plot a scatter plot of age vs charges with the regression line on it (see Lab 6):" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.regplot(x = \"age\", y = \"charges\", data = insurance)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "What do you notice about the scatter plot?\n", "\n", "Let's see if this shows up in the plots of the residuals. Plot the histogram of the residuals." ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lm.resid.hist(bins = 20)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Does this look like a normal distribution?\n", "\n", "Let's also plot the fitted values (y) against the actual charges (x):" ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0,0.5,'Actual charges')" ] }, "execution_count": 47, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.scatter(x = insurance[\"charges\"], y = lm.fittedvalues)\n", "plt.xlabel(\"Predicted charges\")\n", "plt.ylabel(\"Actual charges\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Alternatively, we could plot the ages (x) vs. the residuals (y):" ] }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0,0.5,'Residual')" ] }, "execution_count": 49, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.scatter(x = insurance[\"age\"], y = lm.resid)\n", "plt.xlabel(\"Age\")\n", "plt.ylabel(\"Residual\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Clearly age does not provide the whole picture. In fact, the R-squared value in the summary (top right corner) is the proportion of variance in the charges that is explained by this model. Right now this is about 9% which is not good....\n", "\n", "However we see that the p-values (the P > |t|) column in the summary is very close to 0. The p-value is the probability that that coefficient is 0, so there is a linear effect of age on insurance prices.\n", "\n", "Let's add the other quantitative columns as independent variables to see if we can get a better fit." ] }, { "cell_type": "code", "execution_count": 50, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
OLS Regression Results
Dep. Variable: charges R-squared: 0.120
Model: OLS Adj. R-squared: 0.118
Method: Least Squares F-statistic: 60.69
Date: Thu, 19 Sep 2019 Prob (F-statistic): 8.80e-37
Time: 18:07:31 Log-Likelihood: -14392.
No. Observations: 1338 AIC: 2.879e+04
Df Residuals: 1334 BIC: 2.881e+04
Df Model: 3
Covariance Type: nonrobust
\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
coef std err t P>|t| [0.025 0.975]
Intercept -6916.2433 1757.480 -3.935 0.000 -1.04e+04 -3468.518
age 239.9945 22.289 10.767 0.000 196.269 283.720
bmi 332.0834 51.310 6.472 0.000 231.425 432.741
children 542.8647 258.241 2.102 0.036 36.261 1049.468
\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Omnibus: 325.395 Durbin-Watson: 2.012
Prob(Omnibus): 0.000 Jarque-Bera (JB): 603.372
Skew: 1.520 Prob(JB): 9.54e-132
Kurtosis: 4.255 Cond. No. 290.


Warnings:
[1] Standard Errors assume that the covariance matrix of the errors is correctly specified." ], "text/plain": [ "\n", "\"\"\"\n", " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: charges R-squared: 0.120\n", "Model: OLS Adj. R-squared: 0.118\n", "Method: Least Squares F-statistic: 60.69\n", "Date: Thu, 19 Sep 2019 Prob (F-statistic): 8.80e-37\n", "Time: 18:07:31 Log-Likelihood: -14392.\n", "No. Observations: 1338 AIC: 2.879e+04\n", "Df Residuals: 1334 BIC: 2.881e+04\n", "Df Model: 3 \n", "Covariance Type: nonrobust \n", "==============================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "Intercept -6916.2433 1757.480 -3.935 0.000 -1.04e+04 -3468.518\n", "age 239.9945 22.289 10.767 0.000 196.269 283.720\n", "bmi 332.0834 51.310 6.472 0.000 231.425 432.741\n", "children 542.8647 258.241 2.102 0.036 36.261 1049.468\n", "==============================================================================\n", "Omnibus: 325.395 Durbin-Watson: 2.012\n", "Prob(Omnibus): 0.000 Jarque-Bera (JB): 603.372\n", "Skew: 1.520 Prob(JB): 9.54e-132\n", "Kurtosis: 4.255 Cond. No. 290.\n", "==============================================================================\n", "\n", "Warnings:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n", "\"\"\"" ] }, "execution_count": 50, "metadata": {}, "output_type": "execute_result" } ], "source": [ "lm2 = smf.ols('charges ~ age + bmi + children', data = insurance).fit()\n", "lm2.summary()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "What is the equation of this linear model?\n", "\n", "Has the R-squared value improved?\n", "\n", "Looking at the p-values, could any of the coefficients be 0? \n", "\n", "Now let's plot the residuals. First, plot a histogram of the residuals:" ] }, { "cell_type": "code", "execution_count": 52, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 52, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lm2.resid.hist(bins = 20)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "What do you notice? Are the residuals normal?\n", "\n", "Next, let's plot the actual charges (x) vs the predicted charges (y):" ] }, { "cell_type": "code", "execution_count": 53, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0,0.5,'Predicted charges')" ] }, "execution_count": 53, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.scatter(x = insurance[\"charges\"], y = lm.fittedvalues)\n", "plt.xlabel(\"Actual charges\")\n", "plt.ylabel(\"Predicted charges\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Did adding bmi and children improve the linear model?\n", "\n", "Let's add the remaining columns. Sex, smoker, and region are all categorical variables. But there is a way to make them into quantitative data using *dummy variables*.\n", "\n", "For example, consider the sex column. There are two categories in it: female and male. We will encode this using one dummy variable that will be 1 if the sex is male and 2 if the sex is female." ] }, { "cell_type": "code", "execution_count": 54, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
agebmichildrensmokerregionchargessex_male
01927.9000yessouthwest16884.924000
11833.7701nosoutheast1725.552301
22833.0003nosoutheast4449.462001
33322.7050nonorthwest21984.470611
43228.8800nonorthwest3866.855201
\n", "
" ], "text/plain": [ " age bmi children smoker region charges sex_male\n", "0 19 27.900 0 yes southwest 16884.92400 0\n", "1 18 33.770 1 no southeast 1725.55230 1\n", "2 28 33.000 3 no southeast 4449.46200 1\n", "3 33 22.705 0 no northwest 21984.47061 1\n", "4 32 28.880 0 no northwest 3866.85520 1" ] }, "execution_count": 54, "metadata": {}, "output_type": "execute_result" } ], "source": [ "insurance_new = pd.get_dummies(insurance, columns = [\"sex\"], drop_first = True)\n", "insurance_new.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's make the other qualitative columns into dummy variables:" ] }, { "cell_type": "code", "execution_count": 55, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
agebmichildrenchargessex_malesmoker_yesregion_northwestregion_southeastregion_southwest
01927.900016884.9240001001
11833.77011725.5523010010
22833.00034449.4620010010
33322.705021984.4706110100
43228.88003866.8552010100
53125.74003756.6216000010
64633.44018240.5896000010
73727.74037281.5056000100
83729.83026406.4107010000
96025.840028923.1369200100
\n", "
" ], "text/plain": [ " age bmi children charges sex_male smoker_yes region_northwest \\\n", "0 19 27.900 0 16884.92400 0 1 0 \n", "1 18 33.770 1 1725.55230 1 0 0 \n", "2 28 33.000 3 4449.46200 1 0 0 \n", "3 33 22.705 0 21984.47061 1 0 1 \n", "4 32 28.880 0 3866.85520 1 0 1 \n", "5 31 25.740 0 3756.62160 0 0 0 \n", "6 46 33.440 1 8240.58960 0 0 0 \n", "7 37 27.740 3 7281.50560 0 0 1 \n", "8 37 29.830 2 6406.41070 1 0 0 \n", "9 60 25.840 0 28923.13692 0 0 1 \n", "\n", " region_southeast region_southwest \n", "0 0 1 \n", "1 1 0 \n", "2 1 0 \n", "3 0 0 \n", "4 0 0 \n", "5 1 0 \n", "6 1 0 \n", "7 0 0 \n", "8 0 0 \n", "9 0 0 " ] }, "execution_count": 55, "metadata": {}, "output_type": "execute_result" } ], "source": [ "insurance_new = pd.get_dummies(insurance_new, columns = [\"smoker\", \"region\"], drop_first = True)\n", "insurance_new.head(10)" ] }, { "cell_type": "code", "execution_count": 56, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "southeast 364\n", "northwest 325\n", "southwest 325\n", "northeast 324\n", "Name: region, dtype: int64" ] }, "execution_count": 56, "metadata": {}, "output_type": "execute_result" } ], "source": [ "insurance['region'].value_counts()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "How was the region column, which had 4 categories, turned into dummy variables?\n", "\n", "Now let's make a linear regression model using all these columns:" ] }, { "cell_type": "code", "execution_count": 58, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
OLS Regression Results
Dep. Variable: charges R-squared: 0.751
Model: OLS Adj. R-squared: 0.749
Method: Least Squares F-statistic: 500.8
Date: Thu, 19 Sep 2019 Prob (F-statistic): 0.00
Time: 18:13:02 Log-Likelihood: -13548.
No. Observations: 1338 AIC: 2.711e+04
Df Residuals: 1329 BIC: 2.716e+04
Df Model: 8
Covariance Type: nonrobust
\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
coef std err t P>|t| [0.025 0.975]
Intercept -1.194e+04 987.819 -12.086 0.000 -1.39e+04 -1e+04
age 256.8564 11.899 21.587 0.000 233.514 280.199
bmi 339.1935 28.599 11.860 0.000 283.088 395.298
children 475.5005 137.804 3.451 0.001 205.163 745.838
sex_male -131.3144 332.945 -0.394 0.693 -784.470 521.842
smoker_yes 2.385e+04 413.153 57.723 0.000 2.3e+04 2.47e+04
region_northwest -352.9639 476.276 -0.741 0.459 -1287.298 581.370
region_southeast -1035.0220 478.692 -2.162 0.031 -1974.097 -95.947
region_southwest -960.0510 477.933 -2.009 0.045 -1897.636 -22.466
\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Omnibus: 300.366 Durbin-Watson: 2.088
Prob(Omnibus): 0.000 Jarque-Bera (JB): 718.887
Skew: 1.211 Prob(JB): 7.86e-157
Kurtosis: 5.651 Cond. No. 311.


Warnings:
[1] Standard Errors assume that the covariance matrix of the errors is correctly specified." ], "text/plain": [ "\n", "\"\"\"\n", " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: charges R-squared: 0.751\n", "Model: OLS Adj. R-squared: 0.749\n", "Method: Least Squares F-statistic: 500.8\n", "Date: Thu, 19 Sep 2019 Prob (F-statistic): 0.00\n", "Time: 18:13:02 Log-Likelihood: -13548.\n", "No. Observations: 1338 AIC: 2.711e+04\n", "Df Residuals: 1329 BIC: 2.716e+04\n", "Df Model: 8 \n", "Covariance Type: nonrobust \n", "====================================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "------------------------------------------------------------------------------------\n", "Intercept -1.194e+04 987.819 -12.086 0.000 -1.39e+04 -1e+04\n", "age 256.8564 11.899 21.587 0.000 233.514 280.199\n", "bmi 339.1935 28.599 11.860 0.000 283.088 395.298\n", "children 475.5005 137.804 3.451 0.001 205.163 745.838\n", "sex_male -131.3144 332.945 -0.394 0.693 -784.470 521.842\n", "smoker_yes 2.385e+04 413.153 57.723 0.000 2.3e+04 2.47e+04\n", "region_northwest -352.9639 476.276 -0.741 0.459 -1287.298 581.370\n", "region_southeast -1035.0220 478.692 -2.162 0.031 -1974.097 -95.947\n", "region_southwest -960.0510 477.933 -2.009 0.045 -1897.636 -22.466\n", "==============================================================================\n", "Omnibus: 300.366 Durbin-Watson: 2.088\n", "Prob(Omnibus): 0.000 Jarque-Bera (JB): 718.887\n", "Skew: 1.211 Prob(JB): 7.86e-157\n", "Kurtosis: 5.651 Cond. No. 311.\n", "==============================================================================\n", "\n", "Warnings:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n", "\"\"\"" ] }, "execution_count": 58, "metadata": {}, "output_type": "execute_result" } ], "source": [ "lm3 = smf.ols(\"charges ~ age + bmi + children + sex_male + smoker_yes + region_northwest + \\\n", " region_southeast + region_southwest\", data = insurance_new).fit()\n", "lm3.summary()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Has the R-squared value improved?\n", "\n", "Looking at the p-values, could any of the coefficients be 0? Next class will we learn how to decide which independent variables to include in your linear model.\n", "\n", "Now let's plot the residuals. First, plot a histogram of the residuals:" ] }, { "cell_type": "code", "execution_count": 59, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 59, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lm3.resid.hist(bins = 20)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "What do you notice? Are the residuals normal?\n", "\n", "Next, let's plot the actual charges (x) vs the predicted charges (y):" ] }, { "cell_type": "code", "execution_count": 60, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0,0.5,'Predicted charges')" ] }, "execution_count": 60, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.scatter(x = insurance_new[\"charges\"], y = lm3.fittedvalues)\n", "plt.xlabel(\"Actual charges\")\n", "plt.ylabel(\"Predicted charges\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "What do you notice? Has the model improved?" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "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": "3.4.8" } }, "nbformat": 4, "nbformat_minor": 2 }