2. The following Table gives data on output per hour (X) and real compensation per hour (Y) for the business and nonfarm business sectors of the U.S. economy. Year Y X 1990 1 12 1991 4 18 1992 7 30 Estimate the variance of the slope of the OLS regression of Y on X (32) from the following regression: Y₁ = B1+ B₂X + U₁ B₁ = Y - B₂ X 8² = = Cov(X,Y) Σαλ n-2 Var(X) 82 var(B2)=x (30 points)

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
Chapter7: Production Economics
Section: Chapter Questions
Problem 1.3CE
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2. The following Table gives data on output per hour (X) and real compensation per hour (Y) for the
business and nonfarm business sectors of the U.S. economy.
Year
Y
X
1990
1
12
1991
4
18
1992
7
30
Estimate the variance of the slope of the OLS regression of Y on X (32) from the following regression:
Y₁ = B1+ B₂X + U₁
B₁ = Y - B₂ X
8² =
=
Cov(X,Y)
Σαλ
n-2
Var(X)
82
var(B2)=x
(30 points)
Transcribed Image Text:2. The following Table gives data on output per hour (X) and real compensation per hour (Y) for the business and nonfarm business sectors of the U.S. economy. Year Y X 1990 1 12 1991 4 18 1992 7 30 Estimate the variance of the slope of the OLS regression of Y on X (32) from the following regression: Y₁ = B1+ B₂X + U₁ B₁ = Y - B₂ X 8² = = Cov(X,Y) Σαλ n-2 Var(X) 82 var(B2)=x (30 points)
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