Question

A linear regression equation is calculated for a sample of n = 20 pairs of X and Y values.

What would be the df value for the standard error of estimate?​

A) 19 B) 18 C) 2 D) 1

Answer 1

Answer: B) 18

Explanation:

The degree of freedom for Standard error or df(Residual) is the sample size minus the number of estimated parameters ,.

df= n - p , where n= sample size , p = number of parameters.

According to the given problem , we have

Sample size : n=20

Number of parameters (x and y ): p= 2

Then, the df value for the standard error of estimate will be :

df= n-p =20-2=18

Thus , the df value for the standard error of estimate is 18 .

Hence, the correct answer is B) 18 .