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

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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.