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

The correct option is C

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