The modely 1 = 1 x 1 + 1 ,y 2 = 2 x

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The modely1= β1x1+ ε1,y2= β2x2+ ε2

satisfies all the assumptions of the classical multivariate regression model. All variables have zero means. The following sample second-moment matrix is obtained from a sample of 20 observations:

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a. Compute the FGLS estimates of β1 and β2.

b. Test the hypothesis that β1 = β2.

c. Compute the maximum likelihood estimates of the model parameters.

d. Use the likelihood ratio test to test the hypothesis in part b.

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Econometric Analysis

ISBN: 978-0131395381

7th edition

Authors: William H. Greene

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