Linear Regression Plot

A function to plot linear regression fits.

from mlxtend.plotting import plot_linear_regression

Overview

The plot_linear_regression is a convenience function that uses scikit-learn's linear_model.LinearRegression to fit a linear model and SciPy's stats.pearsonr to calculate the correlation coefficient.

References

  • -

Example 1 - Ordinary Least Squares Simple Linear Regression

import matplotlib.pyplot as plt
from mlxtend.plotting import plot_linear_regression
import numpy as np

X = np.array([4, 8, 13, 26, 31, 10, 8, 30, 18, 12, 20, 5, 28, 18, 6, 31, 12,
   12, 27, 11, 6, 14, 25, 7, 13,4, 15, 21, 15])

y = np.array([14, 24, 22, 59, 66, 25, 18, 60, 39, 32, 53, 18, 55, 41, 28, 61, 35,
   36, 52, 23, 19, 25, 73, 16, 32, 14, 31, 43, 34])

intercept, slope, corr_coeff = plot_linear_regression(X, y)
plt.show()

png

API

plot_linear_regression(X, y, model=LinearRegression(copy_X=True, fit_intercept=True, n_jobs=1, normalize=False), corr_func='pearsonr', scattercolor='blue', fit_style='k--', legend=True, xlim='auto')

Plot a linear regression line fit.

Parameters

  • X : numpy array, shape = [n_samples,]

    Samples.

  • y : numpy array, shape (n_samples,)

    Target values model: object (default: sklearn.linear_model.LinearRegression) Estimator object for regression. Must implement a .fit() and .predict() method. corr_func: str or function (default: 'pearsonr') Uses pearsonr from scipy.stats if corr_func='pearsonr'. to compute the regression slope. If not 'pearsonr', the corr_func, the corr_func parameter expects a function of the form func(, ) as inputs, which is expected to return a tuple (<correlation_coefficient>, <some_unused_value>). scattercolor: string (default: blue) Color of scatter plot points. fit_style: string (default: k--) Style for the line fit. legend: bool (default: True) Plots legend with corr_coeff coef., fit coef., and intercept values. xlim: array-like (x_min, x_max) or 'auto' (default: 'auto') X-axis limits for the linear line fit.

Returns

  • regression_fit : tuple

    intercept, slope, corr_coeff (float, float, float)

Examples

For usage examples, please see http://rasbt.github.io/mlxtend/user_guide/plotting/plot_linear_regression/