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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
8.15. In studying the demand for farm tractors in the United States for the pe- riods 1921–1941 and 1948–1957, Griliches† obtained the following results:
l---ogYt = constant − 0.519 log X2t − 4.933 log X3t R2 = 0.793 (0.231) (0.477)
where Yt = value of stock of tractors on farms as of January 1, in 1935–1939 dollars, X2 = index of prices paid for tractors divided by an index of prices received for all crops at time t − 1, X3 = interest rate pre- vailing in year t − 1, and the estimated standard errors are given in the parentheses.
a. Interpret the preceding regression.
b. Are the estimated slope coefficients individually statistically signifi- cant? Are they significantly different from unity?
c. Use the analysis of variance technique to test the significance of the overall regression. Hint: Use the R2 variant of the ANOVA technique.
d. How would you compute the interest-rate elasticity of demand for farm tractors?
e. How would you test the significance of estimated R2?
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