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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
4.  Cellulon, a manufacturer of home insulation, wants to develop guidelines for builders and consumers on how the thickness of the insulation in the attic of a home and the outdoor temperature affect natural gas consumption. In the laboratory, it varied the insulation thickness and temperature. A few of the findings are:
Â
|
Monthly Natural Gas Consumption (cubic feet), |
Thickness of Insulation (inches), |
Outdoor Temperature (OF), |
|
Y |
X1 |
X2 |
|
30.3 |
6 |
40 |
|
26.9 |
12 |
40 |
|
22.1 |
8 |
49 |
On the basis of the sample results, the regression equation is:
Yˆ  = 62.65 - 1.86X1 - 0.52X2
a.  How much natural gas can homeowners expect to use per month if they install 6 inches of insulation and the outdoor temperature is 40 degrees F?
b. What effect would installing 7 inches of insulation instead of 6 have  on  the monthly natural gas  consumption  (assuming  the  outdoor  temperature  remains  at 40 degrees F)?
c.  Why are the regression coefficients b1 and b2 negative? Is this logical?
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