College

In order to test for the significance of a regression model involving 4 independent variables and 47 observations, what are the numerator and denominator degrees of freedom (respectively) for the critical value of F?

Select one:
A. 3 and 43
B. 4 and 43
C. 4 and 42
D. 3 and 42

Answer :

Answer:

c. 4 and 42

Step-by-step explanation:

Given

[tex]p = 4[/tex] -- independent variables

[tex]n = 47[/tex] ---- observations

Required

The numerator and denominator degrees of freedom

The denominator degrees of freedom is:

[tex]df =n - p - 1[/tex]

[tex]df =47 - 4 - 1[/tex]

[tex]df =42[/tex]

For the numerator, we have:

[tex]df = p[/tex]

[tex]df = 4[/tex]

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