Give the degrees of freedom associated with

a)SSR(X_1|X_2)

b)SSR(X_2|X_1,X_3)

c)SSR(X_1,X_2|X_3,X_4)

d)SSR(X_1,X_2,X_3|X_4,X_5)

e)SSR(X_1,X_2,X_3|X_4,X_5,X_6,X_7,X_8,X_9,X_{10})


Exercise does not say anything, but I imagine that the model is something

Y_i=B_0+B_1X_1+B_2X_2+B_3X_3+\dots+B_{10}X_{10}+\epsilon_i

I think the idea of the exercise is just looking at the number of parameters being estimated as some are already in the model

a)Since we just estimate one parameter B_1 associated with X_1 we have just 1 degree of freedom

b)1 df

c)2 df

d)3 df

e)3 df

is this right?