In order to test for the significance of a regression model involving 14 independent variables and 255 observations, the numerator and denominator degrees of freedom (respectively) for the critical value of F are
A)14 and 255
B)255 and 14
C)13 and 240
D)14 and 240

Question

Quizplus · Accepted Answer

The numerator degrees of freedom will be equal to the number of independent variables in the model, which is 14. The denominator degrees of freedom will be equal to the total number of observations minus the number of independent variables, minus 1. Therefore, the denominator degrees of freedom will be 255 - 14 - 1 = 240. Therefore, the correct answer is D, with 14 and 240 as the numerator and denominator degrees of freedom, respectively.

In Order to Test for the Significance of a Regression