Consider the following regression models: A. Y₁ = ao + a₁ X₁i + Ui B. Y = Bo + B1 X1i + B2X2i + B3X3i + Ci Let a be the OLS estimator of a computed from Model A, and let 1 be the OLS estimator of 3₁ computed from Model B. Which of the following statements is/are CORRECT? If Model B is the 'true' model, then E (a) a₁ unless x₁, is uncorrelated with X2; and X3. □ If Model A is the 'true' model, then Var (₁) ≤ Var (₁). If Model B is the 'true' model, and the explanatory variables are deterministic, then Var (a) ≤ Var (3₁). (61) + B₁ unless x1, is □ If Model A is the 'true' model, then E (B₁) B1 unless x₁¡ is uncorrelated with X21 and x31.
Consider the following regression models: A. Y₁ = ao + a₁ X₁i + Ui B. Y = Bo + B1 X1i + B2X2i + B3X3i + Ci Let a be the OLS estimator of a computed from Model A, and let 1 be the OLS estimator of 3₁ computed from Model B. Which of the following statements is/are CORRECT? If Model B is the 'true' model, then E (a) a₁ unless x₁, is uncorrelated with X2; and X3. □ If Model A is the 'true' model, then Var (₁) ≤ Var (₁). If Model B is the 'true' model, and the explanatory variables are deterministic, then Var (a) ≤ Var (3₁). (61) + B₁ unless x1, is □ If Model A is the 'true' model, then E (B₁) B1 unless x₁¡ is uncorrelated with X21 and x31.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question

Transcribed Image Text:Consider the following regression models:
A. Y₁ = ao + a₁ X₁i + ui
B. Y = Bo + B1X1i + B2X2i + B3 X3i + ei
Let di be the OLS estimator of a computed from Model A, and
let 1 be the OLS estimator of 3₁ computed from Model B.
Which of the following statements is/are CORRECT?
If Model B is the 'true' model, then E (a1) # a1 unless X₁; is
uncorrelated with Xx2; and x31.
□ If Model A is the 'true' model, then Var (₁) ≤ Var (₁).
If Model B is the 'true' model, and the explanatory variables are
deterministic, then Var (₁) ≤ Var (B₁).
B₁ unless x₁ is
(6₁) + B₁ unless x1, is
□ If Model A is the 'true' model, then E (B₁)
uncorrelated with X2; and X3;.
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