## From Linear Regression to Linear Classification

Preliminaries An Introduction to Linear Regression A Simple Linear Regression Bayesian theorem Feature extraction Recall Linear Regression The goal of a regression problem is to find out a function or hypothesis that given an input \(\mathbf{x}\), it can make a prediction \(\hat{y}\) to estimate the target. Both the target \(y\) and prediction \(\hat{y}\) here are continuous. They have the properties of numbers1: Consider 3 inputs \(\mathbf{x}_1\), \(\mathbf{x}_2\) and \(\mathbf{x}_3\) and their coresponding targets are \(y_1=0\), \(y_2=1\) and \(y_3=2\)....