For the values of the coefficient of determination listed below, which one yields the greatest value of sum of squares for regression given that the total sum of squares is 200?
A) -0.90
B) 0.00
C) 0.90
D) 0.98

Question

Quizplus · Accepted Answer

The coefficient of determination (R-squared) represents the proportion of variance in the dependent variable that is explained by the independent variable(s). Since R-squared is the ratio of explained variance to total variance, the value of sum of squares for regression will be greatest when R-squared is highest. Among the given options, the highest R-squared value is 0.98, so the answer is D.

For the Values of the Coefficient of Determination Listed Below