Consider the following formulations of the two-variable PRF: Model I: Y i = 1 +

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Consider the following formulations of the two-variable PRF:

Model  I: Yi = β1 + β2Xi + ui

Model II: Yi = α1 + α2(Xi – X̅ ) + ui

a. Find the estimators of β1 and α1. Are they identical? Are their variances identical?

b. Find the estimators of β2 and α2. Are they identical? Are their variances identical?

c. What is the advantage, if any, of model II over model I?

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Basic Econometrics

ISBN: 978-0073375779

5th edition

Authors: Damodar N. Gujrati, Dawn C. Porter

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