O'Reilly logo

Regression Analysis with Python by Alberto Boschetti, Luca Massaron

Stay ahead with the world's most comprehensive technology and business learning platform.

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, tutorials, and more.

Start Free Trial

No credit card required

Extending to linear regression

Linear regression tries to fit a line through a given set of points, choosing the best fit. The best fit is the line that minimizes the summed squared difference between the value dictated by the line for a certain value of x and its corresponding y values. (It is optimizing the same squared error that we met before when checking how good a mean was as a predictor.)

Since linear regression is a line; in bi-dimensional space (x, y), it takes the form of the classical formula of a line in a Cartesian plane: y = mx + q, where m is the angular coefficient (expressing the angle between the line and the x axis) and q is the intercept between the line and the x axis.

Formally, machine learning indicates the correct expression ...

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, interactive tutorials, and more.

Start Free Trial

No credit card required