We are interested in understanding consumption of pork in the U.S. so we run a regression of annual per capita consumption of pork on a series of independent variables using data from 1990 to 2018 and obtain the following regression results (standard errors in parenthesis) CPt = -330.3 + 49.1 In Inct - 0.34 PPt + 0.33PBt (7.40) (0.13) (0.12) DW=0.94 R²=0.71 Where CP is the annual per capita pounds of pork consumed in the U.S. in year t InInc, is the log of per capita disposable income in the U.S. in year t PP, is the average annualized real wholesale price of pork in the U.S. in year t (in cents per pound) PB, is the average annualized real wholesale price of beef in the U.S. in year t (in cents per pound) a. Interpret the partial slope coefficients. Does the sign on the coefficients agree or disagree with your a priori assumptions? Explain b. Using a two-sided test at the 5% significant level, determine if the partial slopes are statistically significant. c. Test the presence of autocorrelation at the 5% level. d. What remedy would you suggest to the problem identified in part c? Explain in detail how your transformed regression would look like.

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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We are interested in understanding consumption of pork in the U.S. so we run a
regression of annual per capita consumption of pork on a series of independent
variables using data from 1990 to 2018 and obtain the following regression results
(standard errors in parenthesis)
CPt = -330.3 + 49.1 In Inct − 0.34 PPt + 0.33PBt
(7.40)
(0.13)
(0.12)
R²=0.71
DW=0.94
Where
CPt is the annual per capita pounds of pork consumed in the U.S. in year t
InInc, is the log of per capita disposable income in the U.S. in year t
PP, is the average annualized real wholesale price of pork in the U.S. in year t (in
cents per pound)
PB, is the average annualized real wholesale price of beef in the U.S. in year t (in
cents per pound)
a. Interpret the partial slope coefficients. Does the sign on the coefficients
agree or disagree with your a priori assumptions? Explain
b. Using a two-sided test at the 5% significant level, determine if the partial
slopes are statistically significant.
c. Test the presence of autocorrelation at the 5% level.
d.
What remedy would you suggest to the problem identified in part c?
Explain in detail how your transformed regression would look like.
Transcribed Image Text:We are interested in understanding consumption of pork in the U.S. so we run a regression of annual per capita consumption of pork on a series of independent variables using data from 1990 to 2018 and obtain the following regression results (standard errors in parenthesis) CPt = -330.3 + 49.1 In Inct − 0.34 PPt + 0.33PBt (7.40) (0.13) (0.12) R²=0.71 DW=0.94 Where CPt is the annual per capita pounds of pork consumed in the U.S. in year t InInc, is the log of per capita disposable income in the U.S. in year t PP, is the average annualized real wholesale price of pork in the U.S. in year t (in cents per pound) PB, is the average annualized real wholesale price of beef in the U.S. in year t (in cents per pound) a. Interpret the partial slope coefficients. Does the sign on the coefficients agree or disagree with your a priori assumptions? Explain b. Using a two-sided test at the 5% significant level, determine if the partial slopes are statistically significant. c. Test the presence of autocorrelation at the 5% level. d. What remedy would you suggest to the problem identified in part c? Explain in detail how your transformed regression would look like.
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