Celluion, 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 (°F), x₂ ||---|---|---|| 30.3 | 6 | 40 || 26.9 | 12 | 40 || 22.1 | 8 | 49 |On the basis of the sample results, the regression equation is:$\hat{y} = 62.65 - 1.86x_1 - 0.52x_2$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 | of | cubic feet of monthly natural gas consumption, down to | cubic feet. |

We have been given the regression equation as, y^=62.65-1.86x1-0.52x2 Part a: For x1 = 6 and x2 =…

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 Temperature (2F), (inches), x2 30.3 40 26.9 12 40 22.1 49 On the basis of the sample results, the regression equation is: ý = 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.) 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 of monthly natural gas consumption, down to cubic feet.

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 Temperature (2F), (inches), x2 30.3 40 26.9 12 40 22.1 49 On the basis of the sample results, the regression equation is: ý = 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.) 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 of monthly natural gas consumption, down to cubic feet.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Celluion, 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 (°F), x₂ |
|---|---|---|
| 30.3 | 6 | 40 |
| 26.9 | 12 | 40 |
| 22.1 | 8 | 49 |

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

$\hat{y} = 62.65 - 1.86x_1 - 0.52x_2$

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 | of | cubic feet of monthly natural gas consumption, down to | cubic feet. |

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