State the number of degrees of freedom that are associated w

State the number of degrees of freedom that are associated with each of the following extra sums of squares: SSR(X1 | X2); SSR(X2 | X1,X3); SSR(X1,X2 | X3,X4); SSR(X1,X2,X3\\X4,X5).

Solution

The number of degrees of freedom that are associated with each of the following extra sums of squares.

We are given that the following situations to find the degrees of freedom. We can find degrees of freedom by using how many variables are to the left side of the symbol \"I\" they are degrees of freedom.

a) SSR (X₁ I X₂) = 1

b) SSR (X₂ I X₁ , X₃ ) = 1

c) SSR (X₁ , X₂ I X₃ , X₄ ) = 2

d) SSR (X₁ ,X₂ ,X₃ I X₄ , X₅) = 3

Hence the answer.