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 Outdoor Rectangular Snip Temperature (F), (inches), x1 X2 y 30.3 6.0 40.0 26.9 12 40 22.1 8 49 On the basis of the sample results, the regression equation is: y = 62.65 1.86x1 - 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.) cubic Natural gas 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.) 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.) of cubic feet of monthly natural gas consumption, down to cubic feet. c. The regression coefficients b1 and b2 are negative? Is this logical? The negative signs of the regression coefficients b1 and b2 are

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Description: 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

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 93E

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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 Insulation (inches),	Outdoor Temperature (ºF),
y	x₁	x₂
30.3		6.0	32.0
25.2		12	40
30.5		8	49

On the basis of the sample results, the regression equation is:

yˆ y⁢^⁢ = 57.25 − 1.07x₁ − 0.64x₂

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
Outdoor
Rectangular Snip
Temperature
(F),
(inches),
x1
X2
y
30.3
6.0
40.0
26.9
12
40
22.1
8
49
On the basis of the sample results, the regression equation is:
y = 62.65 1.86x1 - 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.)
cubic
Natural gas
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.)

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.)
of
cubic feet of monthly natural gas consumption, down to
cubic feet.
c. The regression coefficients b1 and b2 are negative? Is this logical?
The negative signs of the regression coefficients b1 and b2 are

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