Linear Regression
Basic Idea Fit a line to a bunch of points.
Example Without extra information, we will predict the mean 2.47.
Average squared error = $\mathbb{E} [(studentGPA - predictedGPA)^2]$ = Variance
If we have SAT scores, then we can fit a line.
Now if we predict based on this line, the MSE drops to 0.43.
This is a regression problem with:
Predictor variable: SAT score Response variable: College GPA Formula For $\mathbb{R}$ $$y = ax + b$$……