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

Answer:

The degrees of freedom are

                         ν₁ = n₁ -1 = 13 -1 = 12

                          ν₂= n₂-1 = 13 -1 =12

Step-by-step 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

                    $F = \frac{S_{1} ^{2} }{S_{2} ^{2} } if S_{1} ^{2} > S_{2} ^{2}$