On Least Squares Linear Regression?

The Least Squares Regression Line is the line that makes the vertical distance from the data points to the regression line as small as possible. It's called a “least squares” because the best line of fit is one that minimizes the variance (the sum of squares of the errors).

Does linear regression use least squares?

In statistics, linear least squares problems correspond to a particularly important type of statistical model called linear regression which arises as a particular form of regression analysis. One basic form of such a model is an ordinary least squares model.

What is the Matrix formula for the least squares coefficients?

Recipe 1: Compute a least-squares solution

Form the augmented matrix for the matrix equation A T Ax = A T b , and row reduce. This equation is always consistent, and any solution K x is a least-squares solution.