{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Regression Plots" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from statsmodels.compat import lzip\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import statsmodels.api as sm\n", "from statsmodels.formula.api import ols" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Duncan's Prestige Dataset" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Load the Data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can use a utility function to load any R dataset available from the great Rdatasets package." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "prestige = sm.datasets.get_rdataset(\"Duncan\", \"carData\", cache=True).data" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [ { "data": { "text/html": [ "
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" ], "text/plain": [ " type income education prestige\n", "accountant prof 62 86 82\n", "pilot prof 72 76 83\n", "architect prof 75 92 90\n", "author prof 55 90 76\n", "chemist prof 64 86 90" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "prestige.head()" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true }, "outputs": [], "source": [ "prestige_model = ols(\"prestige ~ income + education\", data=prestige).fit()" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: prestige R-squared: 0.828\n", "Model: OLS Adj. R-squared: 0.820\n", "Method: Least Squares F-statistic: 101.2\n", "Date: Tue, 17 Dec 2019 Prob (F-statistic): 8.65e-17\n", "Time: 23:39:51 Log-Likelihood: -178.98\n", "No. Observations: 45 AIC: 364.0\n", "Df Residuals: 42 BIC: 369.4\n", "Df Model: 2 \n", "Covariance Type: nonrobust \n", "==============================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "Intercept -6.0647 4.272 -1.420 0.163 -14.686 2.556\n", "income 0.5987 0.120 5.003 0.000 0.357 0.840\n", "education 0.5458 0.098 5.555 0.000 0.348 0.744\n", "==============================================================================\n", "Omnibus: 1.279 Durbin-Watson: 1.458\n", "Prob(Omnibus): 0.528 Jarque-Bera (JB): 0.520\n", "Skew: 0.155 Prob(JB): 0.771\n", "Kurtosis: 3.426 Cond. No. 163.\n", "==============================================================================\n", "\n", "Warnings:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n" ] } ], "source": [ "print(prestige_model.summary())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Influence plots" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Influence plots show the (externally) studentized residuals vs. the leverage of each observation as measured by the hat matrix.\n", "\n", "Externally studentized residuals are residuals that are scaled by their standard deviation where \n", "\n", "$$var(\\hat{\\epsilon}_i)=\\hat{\\sigma}^2_i(1-h_{ii})$$\n", "\n", "with\n", "\n", "$$\\hat{\\sigma}^2_i=\\frac{1}{n - p - 1 \\;\\;}\\sum_{j}^{n}\\;\\;\\;\\forall \\;\\;\\; j \\neq i$$\n", "\n", "$n$ is the number of observations and $p$ is the number of regressors. $h_{ii}$ is the $i$-th diagonal element of the hat matrix\n", "\n", "$$H=X(X^{\\;\\prime}X)^{-1}X^{\\;\\prime}$$\n", "\n", "The influence of each point can be visualized by the criterion keyword argument. Options are Cook's distance and DFFITS, two measures of influence." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": true }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(12,8))\n", "fig = sm.graphics.influence_plot(prestige_model, ax=ax, criterion=\"cooks\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As you can see there are a few worrisome observations. Both contractor and reporter have low leverage but a large residual.
\n", "RR.engineer has small residual and large leverage. Conductor and minister have both high leverage and large residuals, and,
\n", "therefore, large influence." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Partial Regression Plots (Duncan)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Since we are doing multivariate regressions, we cannot just look at individual bivariate plots to discern relationships.
\n", "Instead, we want to look at the relationship of the dependent variable and independent variables conditional on the other
\n", "independent variables. We can do this through using partial regression plots, otherwise known as added variable plots.
\n", "\n", "In a partial regression plot, to discern the relationship between the response variable and the $k$-th variable, we compute
\n", "the residuals by regressing the response variable versus the independent variables excluding $X_k$. We can denote this by
\n", "$X_{\\sim k}$. We then compute the residuals by regressing $X_k$ on $X_{\\sim k}$. The partial regression plot is the plot
\n", "of the former versus the latter residuals.
\n", "\n", "The notable points of this plot are that the fitted line has slope $\\beta_k$ and intercept zero. The residuals of this plot
\n", "are the same as those of the least squares fit of the original model with full $X$. You can discern the effects of the
\n", "individual data values on the estimation of a coefficient easily. If obs_labels is True, then these points are annotated
\n", "with their observation label. You can also see the violation of underlying assumptions such as homoskedasticity and
\n", "linearity." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": true }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(12,8))\n", "fig = sm.graphics.plot_partregress(\"prestige\", \"income\", [\"income\", \"education\"], data=prestige, ax=ax)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": true }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fix, ax = plt.subplots(figsize=(12,14))\n", "fig = sm.graphics.plot_partregress(\"prestige\", \"income\", [\"education\"], data=prestige, ax=ax)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As you can see the partial regression plot confirms the influence of conductor, minister, and RR.engineer on the partial relationship between income and prestige. The cases greatly decrease the effect of income on prestige. Dropping these cases confirms this." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: prestige R-squared: 0.876\n", "Model: OLS Adj. R-squared: 0.870\n", "Method: Least Squares F-statistic: 138.1\n", "Date: Tue, 17 Dec 2019 Prob (F-statistic): 2.02e-18\n", "Time: 23:39:53 Log-Likelihood: -160.59\n", "No. Observations: 42 AIC: 327.2\n", "Df Residuals: 39 BIC: 332.4\n", "Df Model: 2 \n", "Covariance Type: nonrobust \n", "==============================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "Intercept -6.3174 3.680 -1.717 0.094 -13.760 1.125\n", "income 0.9307 0.154 6.053 0.000 0.620 1.242\n", "education 0.2846 0.121 2.345 0.024 0.039 0.530\n", "==============================================================================\n", "Omnibus: 3.811 Durbin-Watson: 1.468\n", "Prob(Omnibus): 0.149 Jarque-Bera (JB): 2.802\n", "Skew: -0.614 Prob(JB): 0.246\n", "Kurtosis: 3.303 Cond. No. 158.\n", "==============================================================================\n", "\n", "Warnings:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n" ] } ], "source": [ "subset = ~prestige.index.isin([\"conductor\", \"RR.engineer\", \"minister\"])\n", "prestige_model2 = ols(\"prestige ~ income + education\", data=prestige, subset=subset).fit()\n", "print(prestige_model2.summary())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For a quick check of all the regressors, you can use plot_partregress_grid. These plots will not label the
\n", "points, but you can use them to identify problems and then use plot_partregress to get more information." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": true }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(12,8))\n", "fig = sm.graphics.plot_partregress_grid(prestige_model, fig=fig)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Component-Component plus Residual (CCPR) Plots" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The CCPR plot provides a way to judge the effect of one regressor on the
\n", "response variable by taking into account the effects of the other
\n", "independent variables. The partial residuals plot is defined as
\n", "$\\text{Residuals} + B_iX_i \\text{ }\\text{ }$ versus $X_i$. The component adds $B_iX_i$ versus
\n", "$X_i$ to show where the fitted line would lie. Care should be taken if $X_i$
\n", "is highly correlated with any of the other independent variables. If this
\n", "is the case, the variance evident in the plot will be an underestimate of
\n", "the true variance." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": true }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(12, 8))\n", "fig = sm.graphics.plot_ccpr(prestige_model, \"education\", ax=ax)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As you can see the relationship between the variation in prestige explained by education conditional on income seems to be linear, though you can see there are some observations that are exerting considerable influence on the relationship. We can quickly look at more than one variable by using plot_ccpr_grid." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": true }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(12, 8))\n", "fig = sm.graphics.plot_ccpr_grid(prestige_model, fig=fig)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Single Variable Regression Diagnostics" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The plot_regress_exog function is a convenience function that gives a 2x2 plot containing the dependent variable and fitted values with confidence intervals vs. the independent variable chosen, the residuals of the model vs. the chosen independent variable, a partial regression plot, and a CCPR plot. This function can be used for quickly checking modeling assumptions with respect to a single regressor." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": true }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(12,8))\n", "fig = sm.graphics.plot_regress_exog(prestige_model, \"education\", fig=fig)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Fit Plot" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The plot_fit function plots the fitted values versus a chosen independent variable. It includes prediction confidence intervals and optionally plots the true dependent variable." ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": true }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(12, 8))\n", "fig = sm.graphics.plot_fit(prestige_model, \"education\", ax=ax)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Statewide Crime 2009 Dataset" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Compare the following to http://www.ats.ucla.edu/stat/stata/webbooks/reg/chapter4/statareg_self_assessment_answers4.htm\n", "\n", "Though the data here is not the same as in that example. You could run that example by uncommenting the necessary cells below." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": true }, "outputs": [], "source": [ "#dta = pd.read_csv(\"http://www.stat.ufl.edu/~aa/social/csv_files/statewide-crime-2.csv\")\n", "#dta = dta.set_index(\"State\", inplace=True).dropna()\n", "#dta.rename(columns={\"VR\" : \"crime\",\n", "# \"MR\" : \"murder\",\n", "# \"M\" : \"pctmetro\",\n", "# \"W\" : \"pctwhite\",\n", "# \"H\" : \"pcths\",\n", "# \"P\" : \"poverty\",\n", "# \"S\" : \"single\"\n", "# }, inplace=True)\n", "#\n", "#crime_model = ols(\"murder ~ pctmetro + poverty + pcths + single\", data=dta).fit()" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": true }, "outputs": [], "source": [ "dta = sm.datasets.statecrime.load_pandas().data" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: murder R-squared: 0.813\n", "Model: OLS Adj. R-squared: 0.797\n", "Method: Least Squares F-statistic: 50.08\n", "Date: Tue, 17 Dec 2019 Prob (F-statistic): 3.42e-16\n", "Time: 23:39:56 Log-Likelihood: -95.050\n", "No. Observations: 51 AIC: 200.1\n", "Df Residuals: 46 BIC: 209.8\n", "Df Model: 4 \n", "Covariance Type: nonrobust \n", "==============================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "Intercept -44.1024 12.086 -3.649 0.001 -68.430 -19.774\n", "urban 0.0109 0.015 0.707 0.483 -0.020 0.042\n", "poverty 0.4121 0.140 2.939 0.005 0.130 0.694\n", "hs_grad 0.3059 0.117 2.611 0.012 0.070 0.542\n", "single 0.6374 0.070 9.065 0.000 0.496 0.779\n", "==============================================================================\n", "Omnibus: 1.618 Durbin-Watson: 2.507\n", "Prob(Omnibus): 0.445 Jarque-Bera (JB): 0.831\n", "Skew: -0.220 Prob(JB): 0.660\n", "Kurtosis: 3.445 Cond. No. 5.80e+03\n", "==============================================================================\n", "\n", "Warnings:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n", "[2] The condition number is large, 5.8e+03. This might indicate that there are\n", "strong multicollinearity or other numerical problems.\n" ] } ], "source": [ "crime_model = ols(\"murder ~ urban + poverty + hs_grad + single\", data=dta).fit()\n", "print(crime_model.summary())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Partial Regression Plots (Crime Data)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": true }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(12,8))\n", "fig = sm.graphics.plot_partregress_grid(crime_model, fig=fig)" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": true }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(12,8))\n", "fig = sm.graphics.plot_partregress(\"murder\", \"hs_grad\", [\"urban\", \"poverty\", \"single\"], ax=ax, data=dta)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Leverage-Resid2 Plot" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Closely related to the influence_plot is the leverage-resid2 plot." ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": true }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(8,6))\n", "fig = sm.graphics.plot_leverage_resid2(crime_model, ax=ax)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Influence Plot" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": true }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(8,6))\n", "fig = sm.graphics.influence_plot(crime_model, ax=ax)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Using robust regression to correct for outliers." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Part of the problem here in recreating the Stata results is that M-estimators are not robust to leverage points. MM-estimators should do better with this examples." ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from statsmodels.formula.api import rlm" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " Robust linear Model Regression Results \n", "==============================================================================\n", "Dep. Variable: murder No. Observations: 51\n", "Model: RLM Df Residuals: 46\n", "Method: IRLS Df Model: 4\n", "Norm: TukeyBiweight \n", "Scale Est.: mad \n", "Cov Type: H1 \n", "Date: Tue, 17 Dec 2019 \n", "Time: 23:39:58 \n", "No. Iterations: 50 \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "Intercept -4.2986 9.494 -0.453 0.651 -22.907 14.310\n", "urban 0.0029 0.012 0.241 0.809 -0.021 0.027\n", "poverty 0.2753 0.110 2.499 0.012 0.059 0.491\n", "hs_grad -0.0302 0.092 -0.328 0.743 -0.211 0.150\n", "single 0.2902 0.055 5.253 0.000 0.182 0.398\n", "==============================================================================\n", "\n", "If the model instance has been used for another fit with different fit parameters, then the fit options might not be the correct ones anymore .\n" ] } ], "source": [ "rob_crime_model = rlm(\"murder ~ urban + poverty + hs_grad + single\", data=dta, \n", " M=sm.robust.norms.TukeyBiweight(3)).fit(conv=\"weights\")\n", "print(rob_crime_model.summary())" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": true }, "outputs": [], "source": [ "#rob_crime_model = rlm(\"murder ~ pctmetro + poverty + pcths + single\", data=dta, M=sm.robust.norms.TukeyBiweight()).fit(conv=\"weights\")\n", "#print(rob_crime_model.summary())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There is not yet an influence diagnostics method as part of RLM, but we can recreate them. (This depends on the status of [issue #888](https://github.com/statsmodels/statsmodels/issues/808))" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": true }, "outputs": [], "source": [ "weights = rob_crime_model.weights\n", "idx = weights > 0\n", "X = rob_crime_model.model.exog[idx.values]\n", "ww = weights[idx] / weights[idx].mean()\n", "hat_matrix_diag = ww*(X*np.linalg.pinv(X).T).sum(1)\n", "resid = rob_crime_model.resid\n", "resid2 = resid**2\n", "resid2 /= resid2.sum()\n", "nobs = int(idx.sum())\n", "hm = hat_matrix_diag.mean()\n", "rm = resid2.mean()" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": true }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from statsmodels.graphics import utils\n", "fig, ax = plt.subplots(figsize=(12,8))\n", "ax.plot(resid2[idx], hat_matrix_diag, 'o')\n", "ax = utils.annotate_axes(range(nobs), labels=rob_crime_model.model.data.row_labels[idx], \n", " points=lzip(resid2[idx], hat_matrix_diag), offset_points=[(-5,5)]*nobs,\n", " size=\"large\", ax=ax)\n", "ax.set_xlabel(\"resid2\")\n", "ax.set_ylabel(\"leverage\")\n", "ylim = ax.get_ylim()\n", "ax.vlines(rm, *ylim)\n", "xlim = ax.get_xlim()\n", "ax.hlines(hm, *xlim)\n", "ax.margins(0,0)" ] } ], "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": "3.7.5" } }, "nbformat": 4, "nbformat_minor": 1 }