In testing the validity of a multiple regression model,a large value of the F-test statistic indicates that:
A)most of the variation in the independent variables is explained by the variation in y.
B)the model has significant explanatory power because at least one slope coefficient is not zero.
C)most of the variation in y is unexplained by the regression equation.
D)the model provides a poor fit.

Question

Quizplus · Accepted Answer

A large value of the F-test statistic indicates that at least one of the independent variables has a significant explanatory power in predicting the dependent variable. This means that the model has significant explanatory power because at least one slope coefficient is not zero. Choice A is incorrect because a high F-test statistic indicates that much of the variation in y is explained, not in the independent variables. Choice C is incorrect because a high F-test statistic indicates that the model explains a significant amount of variation in y. Choice D is incorrect because a high F-test statistic indicates a good fit for the model.

In Testing the Validity of a Multiple Regression Model,a Large