High School

In a multiple regression analysis, six independent variables are used in the equation based on a sample of 45 observations. What are the degrees of freedom associated with the F statistic?

Select one:
A. 5 and 44
B. 4 and 40
C. 6 and 45
D. 6 and 38

Answer :

Final answer:

The degrees of freedom associated with the F statistic in this multiple regression analysis are 6 and 38.

Explanation:

In multiple regression analysis, degrees of freedom are used to determine the number of independent observations available for estimating the parameters of the regression model. The degrees of freedom associated with the F statistic in multiple regression analysis can be calculated using the formula:

df1 = k (number of independent variables)

df2 = n - k - 1 (number of observations minus the number of independent variables minus 1)

In this case, there are 6 independent variables and 45 observations, so the degrees of freedom associated with the F statistic would be:

df1 = 6

df2 = 45 - 6 - 1 = 38

Learn more about degrees of freedom here:

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