In performing an F test for a simple linear regression analysis based on 20 observations,the critical F value would have ________ numerator degrees of freedom and _________ denominator degrees of freedom.
A)1,20
B)18,19
C)19,20
D)1,18
E)18,20

Question

Quizplus · Accepted Answer

For a simple linear regression analysis with 1 predictor variable and 20 observations, the degrees of freedom for the numerator in the F-test would be 1 (for the regression model) and the degrees of freedom for the denominator would be 18 (for the residual error). Therefore, the critical F value would have 1 numerator degree of freedom and 18 denominator degrees of freedom, making option D the correct answer.

In Performing an F Test for a Simple Linear Regression