The numerical value of the coefficient of determination
A)is always larger than the coefficient of correlation
B)is always smaller than the coefficient of correlation
C)is negative if the coefficient of determination is negative
D)can be larger or smaller than the coefficient of correlation

Question

Quizplus · Accepted Answer

The coefficient of determination (R-squared) is equal to the square of the coefficient of correlation (r), so if r is between -1 and 1, then R-squared will also be between 0 and 1. Therefore, R-squared can be larger or smaller than the coefficient of correlation depending on the strength of the relationship between the variables. However, R-squared cannot be negative.

The Numerical Value of the Coefficient of Determination