An analysis of regression is used to test the significance of a linear regression equation based on a sample of n = 20 individuals.What are the df values for the F-ratio?
A)1, 18
B)1, 19
C)2, 18
D)2, 19

Question

An analysis of regression is used to test the significance of a linear regression equation based on a sample of n = 20 individuals.What are the df values for the F-ratio?​
A)1, 18​
B)​1, 19
C)​2, 18
D)​2, 19

Quizplus · Accepted Answer

The degrees of freedom for the F-ratio in a linear regression analysis are determined by the number of predictors and the sample size. For a simple linear regression (one predictor), the numerator df is 1 (for the predictor), and the denominator df is n - 2, where n is the sample size. With n = 20, the denominator df is 20 - 2 = 18.

An Analysis of Regression Is Used to Test the Significance