Consider the model Y i = 1 + 2 X 2i + u i ..

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Consider the model

Yi = β1 + β2X2i + ui…………….. (1)

To find out whether this model is mis-specified because it omits the variable X3 from the model, you decide to regress the residuals obtained from model (1) on the variable X3 only. (There is an intercept in this regression.) The Lagrange multiplier (LM) test, however, requires you to regress the residuals from model (1) on both X2 and X3 and a constant. Why is your procedure likely to be inappropriate?

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Basic Econometrics

ISBN: 978-0073375779

5th edition

Authors: Damodar N. Gujrati, Dawn C. Porter

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