The coefficient of determination (r²) tells you
A) that the coefficient of correlation (r) is larger than 1.
B) whether r has any significance.
C) that you should not partition the total variation.
D) the proportion of total variation that is explained.

Question

Quizplus · Accepted Answer

The coefficient of determination (r²) is the proportion of total variation in the dependent variable that is explained by the independent variable. Therefore, option D is the correct answer. Option A is incorrect because the coefficient of correlation (r) cannot be larger than 1. Option B is incorrect because the significance of r is determined by the p-value, not by the coefficient of determination. Option C is incorrect because partitioning the total variation is necessary to calculate the coefficient of determination.

The Coefficient of Determination (R²) Tells You