In testing the validity of a multiple regression model involving 10 independent variables and 100 observations, what will the respective values of the numerator and denominator degrees of freedom for the critical value of F be?
A) 9 and 10
B) 9 and 90
C) 10 and 89
D) 10 and 100

Question

Quizplus · Accepted Answer

The numerator degrees of freedom will be the number of independent variables, which is 10. The denominator degrees of freedom will be the difference between the total number of observations (100) and the number of independent variables (10), which is 90. Therefore, the critical value of F will have 10 and 89 degrees of freedom, which corresponds to choice C.

In Testing the Validity of a Multiple Regression Model Involving