The true model is Y * i = β 1 + βX * i + u i

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The true model is

Y*i = β1 + βX*i + ui €¦€¦€¦€¦€¦€¦€¦€¦€¦€¦€¦.. (1)

But because of errors of measurement you estimate

Yi = α1 + α2Xi + vi €¦€¦€¦€¦€¦€¦€¦€¦. (2)

where Yi = Yˆ—i+ εi and Xi = Xˆ—i + wi , where εi and wi are measurement errors.

Using the data given in the following table, document the consequences of estimating model (2) instead of the true model (1).

y* х* х 80.0940 -7.8655 75.4666 80.00 67.6011 0.0940 2.4666 74.9801 102.8242 75.4438 91.5721 -8.4279 100.00 0.4636 -10

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Basic Econometrics

ISBN: 978-0073375779

5th edition

Authors: Damodar N. Gujrati, Dawn C. Porter

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