a. Express the ith residual Yi Y i (where Y i 0 1xi ) in
Chapter 13, Problem 13.11(choose chapter or problem)
a. Express the ith residual Yi Y i (where Y i 0 1xi ) in the form cj Yj , a linear function of the Yjs. Then use rules of variance to verify that V(Yi Y i ) is given by Expression (13.2). b. It can be shown that Yi and Yi Y i (the ith predicted value and residual) are independent of one another. Use this fact, the relation Yi Y i (Yi Y i ), and the expression for V(Y) from Section 12.4 to again verify Expression (13.2). c. As xi moves farther away from x , what happens to V(Yi ) and to V(Yi Y i )? 1
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