question archive 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
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
Subject:MathPrice:2.87 Bought7
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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 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 ( |
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Answer:
(a) Y = 116.22 -2.09X1 -1.56X2
For X1 = 6 and X2 = 47 Y = 116.22 -2.09*6 -1.56*47 = 30.34
natural gas can homeowners expect to use 30.34 cubic feet gas per month
(b) If insulation is 7 inches instead of 6 we hae Y = 116.22 -2.09*7 -1.56*47 = 28.25
natural gas can homeowners expect to use 28.25 cubic feet gas per month
A Decrease or Increase of (30.34-28.25) = 2.09 cubic feet monthly natural gas consumption, down to 28.25 cubic feet.
(c) Yes. logically, as the amount of insulation Increases and outdoor temperature Increases, the consumption of natural gas Decreases.
