A point that is always on the regression line is the point represented by
A) $\bar { X }$ , $\bar { Y }$
B) a, b
C) both $\bar { X }$ , $\bar { Y }$ and a, b
D) neither $\bar { X }$ , $\bar { Y }$ nor a, b.

Question

Quizplus · Accepted Answer

The point represented by the mean of X ($\bar { X }$) and the mean of Y ($\bar { Y }$) is always on the regression line. This is because the line of best fit is calculated in such a way that it minimizes the sum of the squared differences between the observed values and the values predicted by the line, passing through the point ($\bar { X }$, $\bar { Y }$).

A Point That Is Always on the Regression Line Is Xˉ\bar { X }Xˉ

A Point That Is Always on the Regression Line Is $\bar { X }$