3. To explain what determine the price of air conditioners, B.T. Ratchford, obtained the following regression results based on a sample of 19 air conditioners: R²=0.84 y=-68.236 +0.023x, +19.729x3, +7.653x (0.005) (8.992) (3.082) se= Where y the price, in dollars x2= the BTU rating of air conditioner x3 the energy efficiency ratio x, the number of settings se standard errors a) Interpret the regression results. b) Do the results make economic sense? c) At 5% significance level, test the hypothesis that the BTU rating has no effect on the price of an air conditioner vs. that it has a positive effect. d) Would you accept the null hypothesis that the three explanatory variables explain a substantial variation in the prices of air conditioners? Show clearly all your calculations.

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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3. To explain what determine the price of air conditioners, B.T. Ratchford, obtained the
following regression results based on a sample of 19 air conditioners:
R²=0.84
y=-68.236 +0.023x, +19.729x3, +7.653x
(0.005) (8.992) (3.082)
se=
Where
y the price, in dollars
x2= the BTU rating of air conditioner
x3 the energy efficiency ratio
x, the number of settings
se standard errors
a) Interpret the regression results.
b) Do the results make economic sense?
c)
At 5% significance level, test the hypothesis that the BTU rating has no effect on
the price of an air conditioner vs. that it has a positive effect.
d) Would you accept the null hypothesis that the three explanatory variables explain
a substantial variation in the prices of air conditioners? Show clearly all your
calculations.
Transcribed Image Text:3. To explain what determine the price of air conditioners, B.T. Ratchford, obtained the following regression results based on a sample of 19 air conditioners: R²=0.84 y=-68.236 +0.023x, +19.729x3, +7.653x (0.005) (8.992) (3.082) se= Where y the price, in dollars x2= the BTU rating of air conditioner x3 the energy efficiency ratio x, the number of settings se standard errors a) Interpret the regression results. b) Do the results make economic sense? c) At 5% significance level, test the hypothesis that the BTU rating has no effect on the price of an air conditioner vs. that it has a positive effect. d) Would you accept the null hypothesis that the three explanatory variables explain a substantial variation in the prices of air conditioners? Show clearly all your calculations.
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