Let y = o , + 1 x 1 + 2 x 2 ,
Question:
Let ŷ = β̂o, + β̂1x1 + β̂2x2, ... β̂kxk be the least squares prediction equation, and let y be some observation to be obtained in the future.
a. Explain why (ŷ - y) is normally distributed.
b. Show that
E(ŷ - y) = 0
and
V(ŷ - y) = [1 + a'(X'X)-1a]σ2
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a The least squares prediction equation is a linear model that estimates the expected value of the r...View the full answer
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Related Book For
Statistics For Engineering And The Sciences
ISBN: 9781498728850
6th Edition
Authors: William M. Mendenhall, Terry L. Sincich
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