Question

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

Answer 1

Answer:

The correct option is  C

Step-by-step explanation:

From the question we are told that

     The number of independent variables is  $n = 3$

     The number of observation is  $z = 47$

     

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

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

            $Df(z) = z - (n +1)$

          $Df(z) = 47 - (3 +1)$

          $Df(z) = 43$

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