If the coefficient of determination is equal to 1, then the coefficient of correlation
A) must also be +1.
B) can be either -1 or +1.
C) can be any value between -1 to +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 (+1) or perfectly negative (-1), hence both -1 and +1 are possible values for r when R^2 is 1.

If the Coefficient of Determination Is Equal to 1, Then