Question

A linear regression equation is computed for a sample of n = 13 pairs of X and Y scores. For the analysis of regression testing the significance of the equation, what are the df values for the F-ratio?

Answer 1

The degrees of freedom are

ν₁ = n₁ -1 = 13 -1 = 12

ν₂= n₂-1 = 13 -1 =12

Explanation:

Step(i):-

Given size 'n' = 13

size of sample of X score n₁ = 13

size of sample of Y score n₂ = 13

The degrees of freedom are

ν₁ = n₁ -1 = 13 -1 = 12

ν₂= n₂-1 = 13 -1 =12

Test statistic formula

`F = (S_(1) ^(2) )/(S_(2) ^(2) ) if S_(1) ^(2) > S_(2) ^(2)`