Simple Linear Regression

Definition

$Y_i={\beta }_0+{\beta }_1{X}_i+{ϵ}_i,i=1,2,\dots ,n$ where ${ϵ}_i$‘s are i.i.d. error terms, with $E({ϵ}_i)=0$ and $\mathrm{Var}({ϵ}_i)={\sigma }^2$