If all the points for a multiple regression model with two independent variables were right on the regression plane,then the coefficient of determination would equal:
A)0.
B)1.
C)2,since there are two independent variables.
D)None of these choices.

Question

Quizplus · Accepted Answer

If all the points for a multiple regression model with two independent variables were right on the regression plane, that means there is no error or residual term present. In such a case, the SST (total sum of squares) will be equal to the SSR (regression sum of squares), since there will be no SSE (error sum of squares). Hence, R-squared will be equal to SSR/SST, which will be equal to 1 as all the points will perfectly fit the regression plane. Therefore, the answer is B.

If All the Points for a Multiple Regression Model with Two