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 (OF), y X1 X2 30.3 6. 40 26.9 12 40 22.1 49 On the basis of the sample results, the regression equation is: ŷ = 62.65 – 1.86x, – 0.52×2 a. How much natural gas can homeowners expect to use per month if they install 6 inches of insulation and the outdoor temperature is 40 degrees F? (Round your answer to 2 decimal places.) Natural gas cubic feet b. What effect would installing 7 inches of insulation instead of 6 have on the monthly natural gas consumption (assuming the outdoor temperature remains at 40 degrees F)? (Round your answers to 2 decimal places.) A decrease of cubic feet of monthly natural gas consumption, down to cubic feet.

Linear Algebra: A Modern Introduction
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ISBN:9781285463247
Author:David Poole
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Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
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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),
Thickness of
Outdoor
Insulation
Temperature
(OF),
(inches),
X1
X2
30.3
6.
40
26.9
12
40
22.1
49
On the basis of the sample results, the regression equation is:
ŷ = 62.65 – 1.86x, – 0.52x2
a. How much natural gas can homeowners expect to use per month if they install 6 inches of insulation and the outdoor temperature is
40 degrees F? (Round your answer to 2 decimal places.)
Natural gas
cubic feet
b. What effect would installing 7 inches of insulation instead of 6 have on the monthly natural gas consumption (assuming the outdoor
temperature remains at 40 degrees F)? (Round your answers to 2 decimal places.)
cubic feet.
decrease
cubic feet of monthly natural gas consumption, down to
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Transcribed Image Text: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 Outdoor Insulation Temperature (OF), (inches), X1 X2 30.3 6. 40 26.9 12 40 22.1 49 On the basis of the sample results, the regression equation is: ŷ = 62.65 – 1.86x, – 0.52x2 a. How much natural gas can homeowners expect to use per month if they install 6 inches of insulation and the outdoor temperature is 40 degrees F? (Round your answer to 2 decimal places.) Natural gas cubic feet b. What effect would installing 7 inches of insulation instead of 6 have on the monthly natural gas consumption (assuming the outdoor temperature remains at 40 degrees F)? (Round your answers to 2 decimal places.) cubic feet. decrease cubic feet of monthly natural gas consumption, down to < Prev 7 of 10 Next >
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