Suppose that the true population regression is Y = Bo + BiXi +2X2+ € but you mistakenly estimate the equation Y= bo + b1X1 + u (a) Suppose that cov(X₁, X2) = 0 and suppose B2> 0. Is b1 a biased estimate of B₁? If so, is the bias positive or negative? How do you know? (b) Suppose that cov(X₁,X2) = 0.475 and suppose B2> 0. Is bia biased estimate of B₁? If so, is the bias positive or negative? How do you know?

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
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Question 4: Omitted Variable Bias
Suppose that the true population regression is
Y = o + BiXi+2X2+ €
but you mistakenly estimate the equation
"
Y= bo + b1X1 + U
(a) Suppose that cov(X₁, X2) = 0 and suppose B2 > 0. Is b1 a biased estimate of
B₁? If so, is the bias positive or negative? How do you know?
(b) Suppose that cov(X₁,X2) = 0.475 and suppose B2> 0. Is bia biased estimate
of B₁? If so, is the bias positive or negative? How do you know?
Transcribed Image Text:Question 4: Omitted Variable Bias Suppose that the true population regression is Y = o + BiXi+2X2+ € but you mistakenly estimate the equation " Y= bo + b1X1 + U (a) Suppose that cov(X₁, X2) = 0 and suppose B2 > 0. Is b1 a biased estimate of B₁? If so, is the bias positive or negative? How do you know? (b) Suppose that cov(X₁,X2) = 0.475 and suppose B2> 0. Is bia biased estimate of B₁? If so, is the bias positive or negative? How do you know?
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