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value: 20.00 points Cellulon, a manufacturer of home insulation, wants to develo

ID: 3126379 • Letter: V

Question

value: 20.00 points 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) Thickness of Insulation (inches), Outdoor Temperature 30.3 27.9 24.2 6 12 40 40 49 On the basis of the sample results, the regression equation is Y2 56.26-0.4x1-0.5%

Explanation / Answer

a)

As

y^ = 56.26 - 0.4*X1 - 0.59*X2

As X1 = 6, 2 = 40, then

y^ = 56.26 - 0.4*6 - 0.59*40 = 30.26 [ANSWER]

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b)

A [DECREASE] of [0.4] cubic feet monthly natural gas consymption, down to [29.86] cubic feet. [ANSWER]

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Note that the slope means an increase of slope units for event unit increase of the independent variable.