Question

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 percent of the variation in Y explained by X.
D) It is based on sum of squares (SSR, SSE, and SS total).

Answer 1

The coefficient of determination, r², is the square of the correlation coefficient, r. It measures the percentage of variation in the dependent variable, y, that can be explained by the independent variable, x. So, the correct answer is B

Step-by-step explanation:

The coefficient of determination, r², is the square of the correlation coefficient, r. It measures the percentage of variation in the dependent variable, y, that can be explained by the independent variable, x. Option B is incorrect because the coefficient of determination is not negative when there is an inverse relationship between X and Y. Option D is incorrect because the coefficient of determination is not based on the sum of squares (SSR, SSE, and SS total). So, the correct answer is B) It is negative when there is an inverse relationship between X and Y.