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In order to test for the significance of a regression model involving 3 independent variables and 47 observations, the numerator and denominator degrees of freedom (respectively) for the critical value of F are a. 47 and 3 b. 3 and 47 c. 2 and 43 d. 3 and 43

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okpalawalter8

Answer:

The correct option is  C

Step-by-step explanation:

From the question we are told that

     The number of independent variables is  [tex]n = 3[/tex]

     The number of observation is  [tex]z = 47[/tex]

     

Since n is are independent variables then their degree of freedom is  3

   The  denominator(i.e z) degrees of freedom is evaluated as

            [tex]Df(z) = z - (n +1)[/tex]

          [tex]Df(z) = 47 - (3 +1)[/tex]

          [tex]Df(z) = 43[/tex]

So for the numerator (n) the degree of freedom is  Df(n) = 3

So for the denominator(i.e z) the degree of freedom is  Df(z) = 43

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