A Geometria da Regress\~ao Linear

TL;DR

This paper offers a geometric interpretation of linear regression using vectors in n-dimensional space, aiming to serve as an educational tool for teaching the concept.

Contribution

It introduces a novel geometric perspective on linear regression to enhance teaching and understanding of the method.

Findings

Provides a visual and intuitive understanding of linear regression.

Facilitates teaching by offering a didactic geometric approach.

Clarifies the relationship between data points and regression line.

Abstract

We present a geometrical interpretation of linear regression based on vectors in n dimensions (n the number of data points). This is to be used as a didactic tool for teachers when presenting that topic.