If none of the data points for a multiple regression model with two independent variables were on the regression plane, then the multiple coefficient of determination would be:
A) -1.0.
B) 1.0.
C) any number between -1 and 1, inclusive.
D) any number greater than or equal to zero but smaller than 1.

Question

Quizplus · Accepted Answer

The multiple coefficient of determination (R-squared) measures the proportion of variation in the dependent variable that is explained by the independent variables in the model. If none of the data points lie on the regression plane, it means that the model cannot explain any of the variation in the dependent variable. Therefore, the R-squared value would be 0, which is a number greater than or equal to zero but smaller than 1. Hence, the correct answer is D.

If None of the Data Points for a Multiple Regression