8. Find and interpret a 95% prediction interval for the weight of a person who gets 6.5 hours of sleep per night. 9. Find and interpret the correlation coefficient. 10. Find and interpret the coefficient of determination.

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
Topic Video
Question
Questions 7-10
Consider the following scenario to answer the questions below:
Researchers would like to determine, for adults, if there is a linear relationship between number of
hours of sleep obtained per night and weight (in pounds). If so, the researchers would like a model that
will estimate the weight of adults given the number of hours of sleep obtained per night. To answer the
questions, the following data was obtained:
Chapte Weight
Hours of Sleep
Weight
Hours of Sleep
143
5.25
109
8.75
Sen
135
6.55
131
7
140
4
109
122
6.3
122
7.75
121
7.15
112
8.75
122
7
133
7.2
130
5
115
8.
The 138
4.35
112
9.
W146
3.5
120
8.5
121
8.11
106
9.25
1. Is this a Simple, Multiple, or Multivariate model? Explain.
2. What are the dependent and independent variables?
3. Is the relationship between the variables linear?
4. If appropriate, estimate the weight for someone who gets 6.5 hours of sleep per night. Interpret the
estimate.
5. If appropriate, estimate the weight for someone who gets 1 hour of sleep per night. Interpret the
estimate
6. Find and interpret a 95% confidence interval for how the average weight changes for a one hour
increase in sleep per night.
7. Find and interpret a 95% confidence interval for the average weight given 6.5 hours of sleep per
night is obtained.
8. Find and interpret a 95% prediction interval for the weight of a person who gets 6.5 hours of sleep
per night.
9. Find and interpret the correlation coefficient.
10. Find and interpret the coefficient of determination.
Transcribed Image Text:Consider the following scenario to answer the questions below: Researchers would like to determine, for adults, if there is a linear relationship between number of hours of sleep obtained per night and weight (in pounds). If so, the researchers would like a model that will estimate the weight of adults given the number of hours of sleep obtained per night. To answer the questions, the following data was obtained: Chapte Weight Hours of Sleep Weight Hours of Sleep 143 5.25 109 8.75 Sen 135 6.55 131 7 140 4 109 122 6.3 122 7.75 121 7.15 112 8.75 122 7 133 7.2 130 5 115 8. The 138 4.35 112 9. W146 3.5 120 8.5 121 8.11 106 9.25 1. Is this a Simple, Multiple, or Multivariate model? Explain. 2. What are the dependent and independent variables? 3. Is the relationship between the variables linear? 4. If appropriate, estimate the weight for someone who gets 6.5 hours of sleep per night. Interpret the estimate. 5. If appropriate, estimate the weight for someone who gets 1 hour of sleep per night. Interpret the estimate 6. Find and interpret a 95% confidence interval for how the average weight changes for a one hour increase in sleep per night. 7. Find and interpret a 95% confidence interval for the average weight given 6.5 hours of sleep per night is obtained. 8. Find and interpret a 95% prediction interval for the weight of a person who gets 6.5 hours of sleep per night. 9. Find and interpret the correlation coefficient. 10. Find and interpret the coefficient of determination.
Expert Solution
steps

Step by step

Solved in 5 steps with 3 images

Blurred answer
Knowledge Booster
Permutation and Combination
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.
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