Given a multiple regression with a regression sum of squares of 850 and a total sum of square of 1,000, the coefficient of multiple determination:
A) equals .150
B) equals .850
C) equals .387
D) equals .459
E) cannot be determined without additional information

Question

Quizplus · Accepted Answer

The coefficient of determination, R², is the proportion of the total variability in the data that is explained by the regression model. It is calculated as the ratio of the regression sum of squares (RSS) to the total sum of squares (TSS):

R² = RSS / TSS

In this case, R² = 850 / 1000 = 0.85, which means that the regression model explains 85% of the total variability in the data. Therefore, the best choice is B) equals .850.

Given a Multiple Regression with a Regression Sum of Squares