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

Question

Quizplus · Accepted Answer

The coefficient of determination (r²) is always a positive value, regardless of whether the coefficient of correlation (r) is positive or negative. The coefficient of determination represents the proportion of variance in one variable that can be explained by the variance in the other variable, so it is always non-negative. Therefore, if the coefficient of correlation is negative, the coefficient of determination must still be positive.

If the Coefficient of Correlation Is a Negative Value, Then