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Cellulon, a manufacturer of home insulation, wants to develop guidelines for bui

ID: 3223986 • Letter: C

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 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: On the basis of the sample results, the regression equation is: Y cap = 111.04 - 1.87X_1 - 1.49X_2 a. How much natural gas can homeowners expect to use per month if they install 5 inches of insulation and the outdoor temperature is 48 degrees F? cubic feet b. What effect would installing 7 inches of insulation instead of 5 have on the monthly natural gas consumption (assuming the outdoor temperature remains at48 degrees F)? A of cubic feet monthly natural gas consumption, down to cubic feet c. Why are the regression coefficients b_1 and b_2 negative? Is this logical? logically, as the amount of insulation and outdoor temperature the consumption of natural gas

Explanation / Answer

Effect of installing 7 inches of insulation instead of 5:

Decrease of (30.17 - 26.43) i.e. 3.74 cubic feet would occur.

Correct answer: 3.74

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