Reference no: EM132473025
1. Sherwin-Williams Company is attempting to develop a demand model for its line of exterior house paints. The company's chief economist feels that the most important variables affecting paint sales (y) (measured in thousand gallons) are
- Promotional expenditure (a) (measured in thousand dollars)
- Selling price (p) (measured in dollars per gallon)
- Disposable income per household (m) (measured in thousand dollars).
Using the variables specified by the Company's chief economist, the Research Department obtained from a data set of thirty observations the following estimation result of a log-linear regression model given by.
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| Coefficient Std. Err. t P>|t| [95% Conf. Interval]
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| -.0232291 .1420415 -0.16 0.875 -.3707923 .324334
| -1.037375 .3655166 -2.84 0.030 -1.931762 -.1429884
| .3882373 .3753380 1.03 0.341 -.5301816 1.306656
constant | 6.951867 1.442853 4.82 0.003 3.421333 10.4824
First conduct an appropriate t-test for each independent variable except the constant as to whether it is statistically significant at the 95% confidence level, and then make an economic interpretation of each of the statistically significant coefficients.