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).