If the coefficient of determination is equal to 1, then the coefficient of correlation _____.
A) must also be equal to 1
B) can be either -1 or 1
C) can be any value between -1 and 1
D) must be -1

Question

Quizplus · Accepted Answer

The coefficient of determination (R^2) being equal to 1 indicates a perfect linear relationship between the variables. The coefficient of correlation (r) describes the direction of this relationship, which can be perfectly positive (r = 1) or perfectly negative (r = -1) when R^2 is 1.

If the Coefficient of Determination Is Equal to 1, Then