According to the least-squares property, the regression line minimizes the sum of the squares of the residuals.

Question:

According to the least-squares property, the regression line minimizes the sum of the squares of the residuals. We noted that with the paired data in the margin, the regression equation is y = 5 + 4x and the sum of the squares of the residuals is 364. Show that the equation y = 8 + 3x results in a sum of squares of residuals that is greater than 364.