Consider the following models: Model I: Y i = 1 + 2 X i +

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Consider the following models:

Model I: Yi = β1 + β2Xi + ui

Model II: Y*i α1 + α2X+ ui

where Y* and X* are standardized variables. Show that α̂2 = β̂2(Sx/Sy ) and hence establish that although the regression slope coefficients are independent of the change of origin they are not independent of the change of scale.

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Basic Econometrics

ISBN: 978-0073375779

5th edition

Authors: Damodar N. Gujrati, Dawn C. Porter

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