QUESTION 4 Which one of the following statements is true for a linear regression model with non-spherical disturbances (i.e. E(uu') = Q): O The GLS estimator covariance matrix is unreasonable. The OLS estimator is not consistent. The standard formula for the OLS estimator covariance matrix is incorrect. The GLS estimator is not consistent. O All of the above. None of the above.

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Chapter4A: Problems In Applying The Linear Regression Model
Section: Chapter Questions
Problem 2E
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QUESTION 4
Which one of the following statements is true for a linear regression model with non-spherical disturbances (i.e. E(uu') = 2):
O The GLS estimator covariance matrix is unreasonable.
The OLS estimator is not consistent.
O The standard formula for the OLS estimator covariance matrix is incorrect.
O The GLS estimator is not consistent.
O All of the above.
O None of the above.
QUESTION 5
Under the non-spherical disturbance assumption (i.e. E(uu') = Q), which one of the following is the correct covariance matrix of the OLS estimator?
Dx)א א(K'איא
o2xx)-1
(X'X)-1
All of the above.
O None of the above.
QUESTION 6
With Panel Data, if we assume that the individual effects vj are correlated with the regressors Xịt (i.e. E(vi|Xit) # 0), which one of the following statements is correct:
O The Fixed Effects estimator is not consistent.
O Both the OLS and the Random Effects estimators are not consistent.
O The OLS estimator is not consistent, but the Random Effects estimator is consistent.
O The OLS estimator is consistent, but the Random Effects estimator is not consistent.
All of the above.
O None of the above.
о о о о оо
O O O O O
Transcribed Image Text:QUESTION 4 Which one of the following statements is true for a linear regression model with non-spherical disturbances (i.e. E(uu') = 2): O The GLS estimator covariance matrix is unreasonable. The OLS estimator is not consistent. O The standard formula for the OLS estimator covariance matrix is incorrect. O The GLS estimator is not consistent. O All of the above. O None of the above. QUESTION 5 Under the non-spherical disturbance assumption (i.e. E(uu') = Q), which one of the following is the correct covariance matrix of the OLS estimator? Dx)א א(K'איא o2xx)-1 (X'X)-1 All of the above. O None of the above. QUESTION 6 With Panel Data, if we assume that the individual effects vj are correlated with the regressors Xịt (i.e. E(vi|Xit) # 0), which one of the following statements is correct: O The Fixed Effects estimator is not consistent. O Both the OLS and the Random Effects estimators are not consistent. O The OLS estimator is not consistent, but the Random Effects estimator is consistent. O The OLS estimator is consistent, but the Random Effects estimator is not consistent. All of the above. O None of the above. о о о о оо O O O O O
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