Question

In Section 3, we will learn that the least square estimate of Bi is expressed as SS. where the sums of products are defined as S., = Ž=1% – nij, and ss = Ï _ * -u(a)?. i=1 To understand its meaning precisely, we need to use the following equations. Questions (a) (1.0 pt) Prove that Ki-3) (Yi - y) = Xiyi – nty. i=1 (b) (1.0 pt) Prove that Ža-=* = Ś4 _mce Ii - 7) = 2 - n(7)2 i=1 Hint • XP-L īyi = 7 DE=1 yi 2-1 yi = ný . - = nzy

Answer 1

The solution is done showing all steps with required explanations. Hope you can understand.

4) * (*-*)ซะ ซี) * (“% - 1 y2 +ช) :: :: - x- X2 +* - 5 :: - หมี - หนัง + 45% T2 * * * * * : : : 2 + - e - 141) ] - 5 - 21*ช ห% - * - ห% [Powe] ๖) (ซ- *) 5 (1-2 .+ ) 5 x - 2 **ช, *** 54 - 2 - 3 + ห % - 14” [Powc4]