III. A study compared the number of solar panels on residence buildings compared to their average monthly electricity bills for 10 homes. The results of the survey are below: # of Panels Bill ($) |1 $150 $210 | S200 | $150 | $165 $95 | 3 6 8 $90 $95 $45 12 $20 a) Determine the correlation coefficient, r, for this data. Does r indicate a strong or weak correlation? b) Find the equation of the best-fit-line (the linear regression model), with X representing the number of Panels, andY representing the monthly bill. c) Using your equation, estimate the number of panels on a home for a home with an average monthly bill of $80.

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
Question
III.
A study compared the number of solar panels on residence buildings compared to
their average monthly electricity bills for 10 homes. The results of the survey are
below:
1
$150 $210 S$200 $150 | S165 $95
# of Panels
| 2
3
5
12
Bill ($)
$90
$95
$45
$20
a) Determine the correlation coefficient, r, for this data. Does r indicate a strong or weak
correlation?
b) Find the equation of the best-fit-line (the linear regression model), with X
representing the number of Panels, and Y representing the monthly bill.
c) Using your equation, estimate the number of panels on a home for a home with an
average monthly bill of $80.
Transcribed Image Text:III. A study compared the number of solar panels on residence buildings compared to their average monthly electricity bills for 10 homes. The results of the survey are below: 1 $150 $210 S$200 $150 | S165 $95 # of Panels | 2 3 5 12 Bill ($) $90 $95 $45 $20 a) Determine the correlation coefficient, r, for this data. Does r indicate a strong or weak correlation? b) Find the equation of the best-fit-line (the linear regression model), with X representing the number of Panels, and Y representing the monthly bill. c) Using your equation, estimate the number of panels on a home for a home with an average monthly bill of $80.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Correlation, Regression, and Association
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