Consider the following regression model: Y₁ =B₁ + B₂X₂1+ B3X31+ B₂X41 +24₁ Using the model above show that the maximum likelihood estimator for the variance, var (uX21-X31-B4X4), is biased (be sure to comment of the nature of the bias).

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
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Consider the following regression model:
Y₁ =B₁ + B₂X₂1+ B3X31 + B₂X41 +14₁
Using the model above show that the maximum likelihood estimator for the variance, var
(uiX21-X31-B4X4), is biased (be sure to comment of the nature of the bias).
Transcribed Image Text:Consider the following regression model: Y₁ =B₁ + B₂X₂1+ B3X31 + B₂X41 +14₁ Using the model above show that the maximum likelihood estimator for the variance, var (uiX21-X31-B4X4), is biased (be sure to comment of the nature of the bias).
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