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3 years ago

8

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

1 answer:

matrenka [14]3 years ago

4 0

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

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