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   4.0   42.0   24.8   12   40   31.7   8   49       On the basis of the sample results, the regression equation is:   yˆy⁢^⁢  = 62.93 − 1.25x1 − 0.78x2   How much natural gas can homeowners expect to use per month if they install 4 inches of insulation and the outdoor temperature is 42 degrees F? (Round your answer to 2 decimal places.) What effect would installing 7 inches of insulation instead of 4 have on the monthly natural gas consumption (assuming the outdoor temperature remains at 42 degrees F)? (Round your answers to 2 decimal places.) The regression coefficients b1 and b2 are negative? Is this logical?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
icon
Concept explainers
Topic Video
Question

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   4.0   42.0  
24.8   12   40  
31.7   8   49  
 

 

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

 

yˆy⁢^⁢  = 62.93 − 1.25x1 − 0.78x2

 

  1. How much natural gas can homeowners expect to use per month if they install 4 inches of insulation and the outdoor temperature is 42 degrees F? (Round your answer to 2 decimal places.)
  2. What effect would installing 7 inches of insulation instead of 4 have on the monthly natural gas consumption (assuming the outdoor temperature remains at 42 degrees F)? (Round your answers to 2 decimal places.)
  3. The regression coefficients b1 and b2 are negative? Is this logical?

 

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Application of Algebra
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman