Which is not true of the coefficient of determination?
A)It is the square of the coefficient of correlation.
B)It is negative when there is an inverse relationship between X and Y.
C)It reports the percentage of the variation in Y explained by X.
D)It is calculated using sums of squares (e.g., SSR, SSE, SST).

Question

Quizplus · Accepted Answer

The coefficient of determination (R-squared) ranges from 0 to 1 and represents the proportion of the variance in the dependent variable (Y) that can be explained by the independent variable (X). It is calculated as the square of the coefficient of correlation (r) between X and Y. Therefore, A is true. However, it is not true that R-squared is negative when there is an inverse relationship between X and Y, as R-squared can never be negative. Thus, the correct answer is B. C and D are true statements about R-squared.

Which Is Not True of the Coefficient of Determination