A regression line minimizes the sum of the squared error values.This means that the regression line minimizes the sum of ______ from each point in the scatter point to the regression line.
A)the squares of the distances
B)the squares of the horizontal distances (differences in the x-coordinates)
C)the squares of the vertical distances (differences in the x-coordinates)
D)the squares of the horizontal distances (differences in the y-coordinates)
E)the squares of the vertical distances (differences in the y-coordinates)

Question

Quizplus · Accepted Answer

The regression line minimizes the sum of the squares of the vertical distances (differences in the y-coordinates) from each data point to the line itself. This is how it achieves the best fit through the data points in the scatter plot.

A Regression Line Minimizes the Sum of the Squared Error