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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)increasesdecreases

and outdoor temperature

(Click to select)increasesdecreases

, the consumption of natural gas

(Click to select)increasesdecreases

.

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