Question
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
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: |
Monthly Natural Gas Consumption (cubic feet), Y | Thickness of Insulation (inches), X1 | Outdoor Temperature (F), X2 | |||
30.3 | 5 | 50 | |||
28.8 | 12 | 40 | |||
23.8 | 8 | 49 |
On the basis of the sample results, the regression equation is: |
= 133.23 2.76X1 1.78X2 |
a. | How much natural gas can homeowners expect to use per month if theyinstall5 inches of insulation and the outdoor temperature is 50 degrees F?(Round youranswerto 2 decimal places.) |
cubic feet |
b. | What effect would installing 8 inches of insulation instead of 5 have on the monthly natural gas consumption (assuming the outdoor temperature remains at 50 degrees F)?(Round your answers to 2 decimal places.) |
A(Click to select)increasedecreaseofcubic feet monthly natural gas consumption, down tocubic feet. |
c. | Why are the regression coefficientsb1andb2negative? Is this logical? |
(Click to select)NoYes , logically, as theamountof insulation (Click to select)increasesdecreasesand outdoor temperature (Click to select)increasesdecreases, the consumption of natural gas (Click to select)increasesdecreases. |
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