1.Consider the following two simple regression models : Model I : Y, = B, + B,X; + µ, Model II : Y, = a, + a, (X, - X)+v, (1) What is the estimator for B1? What is the estimator for a1? Are they the same to each other?

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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1.Consider the following two simple regression models :
Model I : Y, = B, + B,X, + µ;
: Y, = a, +a, (X, - )+v,
Model II
(1)
What is the estimator for B1? What is the estimator for a1?
Are they the same to each other?
Do they have the same variance?
(2)
What is the estimator for B2? What is the estimator for a2?
Are they the same to each other?
Do they have the same variance?
Transcribed Image Text:1.Consider the following two simple regression models : Model I : Y, = B, + B,X, + µ; : Y, = a, +a, (X, - )+v, Model II (1) What is the estimator for B1? What is the estimator for a1? Are they the same to each other? Do they have the same variance? (2) What is the estimator for B2? What is the estimator for a2? Are they the same to each other? Do they have the same variance?
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