Problem 3 Consider the following multiple regression model Y = Bo + B₁X₁i + B2X2i + B3X3i + Ui You want to consider certain hypotheses involving more than one parameter, and you know that the regression error is homoskedastic. You decide to test the joint hypotheses using the homoskedasticity-only F-statistics. For each of the cases below specify a restricted model and indicate how you would compute the F-statistic to test for the validity of the restrictions at the 1% level. 1. B₁-B2; B3 = 0 = 2. B1 + 3₂+ B3 = 1 3. B1 B2; B3 0 =
Problem 3 Consider the following multiple regression model Y = Bo + B₁X₁i + B2X2i + B3X3i + Ui You want to consider certain hypotheses involving more than one parameter, and you know that the regression error is homoskedastic. You decide to test the joint hypotheses using the homoskedasticity-only F-statistics. For each of the cases below specify a restricted model and indicate how you would compute the F-statistic to test for the validity of the restrictions at the 1% level. 1. B₁-B2; B3 = 0 = 2. B1 + 3₂+ B3 = 1 3. B1 B2; B3 0 =
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Transcribed Image Text:Problem 3
Consider the following multiple regression model
Y = Bo + B₁X₁i + B2X2i + B3X3i + Ui
You want to consider certain hypotheses involving more than one parameter, and
you know that the regression error is homoskedastic. You decide to test the joint
hypotheses using the homoskedasticity-only F-statistics. For each of the cases below
specify a restricted model and indicate how you would compute the F-statistic to test
for the validity of the restrictions at the 1% level.
1. B₁-B2; B3 = 0
=
2. B1 + 3₂+ B3 = 1
3. B1 B2; B3 0
=
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