## A Simple Linear Regression

Preliminaries Linear Algebra(the concepts of space, vector) Calculus An Introduction to Linear Regression Notations of Linear Regression1 We have already created a simple linear model in the post “An Introduction to Linear Regression”. According to the definition of linearity, we can develop the simplest linear regression model: \[ Y\sim w_1X+w_0\tag{1} \] where the symbol \(\sim\) is read as “is approximately modeled as”. Equation (1) can also be described as “regressing \(Y\) on \(X\)(or \(Y\) onto \(X\))”....