For questions 1 – 3 use the following information: For a multiple linear regress

Question

For questions 1 – 3 use the following information: For a multiple linear regression analysis there are 3 independent variables (X1, X2, X3), and a sample size of n = 30. Find degrees of freedom for error and regression for the following models:

First order linear model:

Df for Error = _________

Df for Regression = ________

Complete second order model:

Df for Error = _________

Df for Regression = ________

Complete second order model with all interaction:

Df for Error = _________

Df for Regression = _________

Explanation / Answer

a) First order linear model:

The degrees of freedom for Error are df = n (k + 1)

dof = 30 - (3 + 1) = 26

dof for regression = 3

b) Complete second order model:

The degrees of freedom for Error are df = n (k + 1)

dof = 30 - (3 + 1) = 26

dof for regression = 3

c) Complete second order model with all interaction:

The degrees of freedom for Error are df = n - k -1

dof = 30 - (3 + 1) - 3 = 23

dof for regression = 6

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