# Least Squares Regression

- Author:
- David Gurney

- Topic:
- Square

Last updated 2/4/2019

Move the "seed" slider to select a new example.
Move points A and B to reposition the blue line.
Your goal is to make the sum of the areas for the
squares shown as small as possible.
WARNING: Keep point A to the left of point B.
Click on the check boxes if you want to see the
regression line and the corresponding sum of
squares for the regression line.

The regression line minimizes the sum of the squares
of the differences between the y-values of each data point
and the corresponding y-yalues of the line shown.
These squared differences are represented by the
squares shown on the graph. Minimizing the total area
of all these squares will produce the least squares area
and the resulting line will be the regression line.
Updated Nov. 13, 2013 and Jan. 29, 2018.