If the coefficient of determination is a positive value, then the coefficient of correlation
A) must also be positive.
B) must be zero.
C) can be either positive or negative.
D) can be larger than 1.

Question

Quizplus · Accepted Answer

The coefficient of determination (R^2) indicates the proportion of the variance in the dependent variable that is predictable from the independent variable(s), but it does not indicate the direction of the relationship. The coefficient of correlation (r) indicates both the strength and the direction of the linear relationship between two variables. Since R^2 is the square of r, if R^2 is positive, r can be either positive or negative, reflecting either a direct or inverse relationship, respectively.

If the Coefficient of Determination Is a Positive Value, Then