A linear regression equation is computed for a sample of n = 13 pairs of X and Y scores.For the analysis of regression testing the significance of the equation,what are the df values for the F-ratio?
A)df = 1, 11
B)df = 1, 12
C)df = 2, 10
D)df = 2, 11

Question

A linear regression equation is computed for a sample of n = 13 pairs of X and Y scores.For the analysis of regression testing the significance of the equation,what are the df values for the F-ratio?​
A)df = 1, 11​
B)​df = 1, 12
C)​df = 2, 10
D)​df = 2, 11

Quizplus · Accepted Answer

In a linear regression analysis, the degrees of freedom for the F-ratio are calculated as df1 = k - 1 and df2 = n - k, where k is the number of predictors (including the intercept) and n is the sample size. For a simple linear regression with one predictor and one intercept, k = 2. Therefore, df1 = 2 - 1 = 1, and df2 = 13 - 2 = 11, making the correct df values for the F-ratio 1, 11.

A Linear Regression Equation Is Computed for a Sample of N