Consider the following system of simultaneous regression equations: (1) Yi = a1 + agx; +azz; + E; x; = B1 + B2yi+ Z4 = Y1 + 72w; + Vi (2) (3) Assuming that all the parameters are non-zero, which of the following statements are true?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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Consider the following system of simultaneous regression equations:
(1)
Yi = a1 + a2x; + a3z4 + E
(2)
(3)
Z4 = Y1 + Y2 w; + Vị
Assuming that all the parameters are non-zero, which of the following statements are true?
Select one:
O a. Equations 1, 2 and 3 may all be consistently estimated using the OLS procedure.
O b. The OLS procedure is inconsistent for Equation 1, but may be consistent for equations 2 and 3.
O c.
The OLS procedure is inconsistent for Equation 2, but may be consistent for equations 1 and 3.
O d. The OLS procedure is inconsistent for Equation 3, but may be consistent for equations 1 and 2.
O e.
The OLS procedure is inconsistent for equations 1 and 2, but may be consistent for Equation 3.
O f.
The OLS procedure is inconsistent for equations 1 and 3, but may be consistent for Equation 2.
g. The OLS procedure is inconsistent for equations 2 and 3, but may be consistent for Equation 1.
O h. The OLS procedure is inconsistent for equations 1, 2 and 3.
Transcribed Image Text:Consider the following system of simultaneous regression equations: (1) Yi = a1 + a2x; + a3z4 + E (2) (3) Z4 = Y1 + Y2 w; + Vị Assuming that all the parameters are non-zero, which of the following statements are true? Select one: O a. Equations 1, 2 and 3 may all be consistently estimated using the OLS procedure. O b. The OLS procedure is inconsistent for Equation 1, but may be consistent for equations 2 and 3. O c. The OLS procedure is inconsistent for Equation 2, but may be consistent for equations 1 and 3. O d. The OLS procedure is inconsistent for Equation 3, but may be consistent for equations 1 and 2. O e. The OLS procedure is inconsistent for equations 1 and 2, but may be consistent for Equation 3. O f. The OLS procedure is inconsistent for equations 1 and 3, but may be consistent for Equation 2. g. The OLS procedure is inconsistent for equations 2 and 3, but may be consistent for Equation 1. O h. The OLS procedure is inconsistent for equations 1, 2 and 3.
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