If all the points for a multiple regression model with two independent variables were on the regression plane, then the coefficient of determination would equal:
A) 0.
B) 1.
C) 2, since there are two independent variables.
D) any number between 0 and 2.

Question

If all the points for a multiple regression model with two independent variables were on the regression plane, then the coefficient of determination would equal:
A) 0.
B) 1.
C) 2, since there are two independent variables.
D)  any number between 0 and 2.

Quizplus · Accepted Answer

If all the points for a multiple regression model with two independent variables were on the regression plane, then the model would perfectly fit the data and the coefficient of determination, which measures the proportion of variance in the dependent variable that can be explained by the independent variables, would be 1.

If All the Points for a Multiple Regression Model with Two