(c) Determine the linear correlation coefficient between commute time and well-being score. r= (Round to three decimal places as needed.)

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
The image presents a survey comparing commute time of adults to their score on a well-being test. The data table and scatter plots are used to analyze the relationship between these variables.

### Data Table:
- **Commute Time (in minutes)**: 6, 15, 26, 33, 54, 72
- **Well-Being Score**: 69.8, 68.3, 67.8, 67.4, 66.2, 65.8, 63.3

### Graphs:
There are four scatter plots labeled A, B, C, and D. Each plot displays a different potential correlation between commute time and well-being score. Data points are plotted with commute time on the x-axis and well-being score on the y-axis.

- **Graph A**: Shows a downward trend, with scores decreasing as commute time increases.
- **Graph B**: Displays a non-linear pattern with no apparent trend.
- **Graph C**: Similar to Graph A, shows a clear downward trend.
- **Graph D**: Presents a positive trend where scores rise as commute time increases, but with variability.

### Task:
(c) Determine the linear correlation coefficient between commute time and well-being score. 

- **r =** (Round to three decimal places as needed.) 

Users are prompted to enter their answer in the provided box and then click "Check Answer" to verify.

Overall, the image is used to determine the relationship between commute time and well-being, encouraging users to analyze the patterns in the scatter plots to estimate the correlation coefficient.
Transcribed Image Text:The image presents a survey comparing commute time of adults to their score on a well-being test. The data table and scatter plots are used to analyze the relationship between these variables. ### Data Table: - **Commute Time (in minutes)**: 6, 15, 26, 33, 54, 72 - **Well-Being Score**: 69.8, 68.3, 67.8, 67.4, 66.2, 65.8, 63.3 ### Graphs: There are four scatter plots labeled A, B, C, and D. Each plot displays a different potential correlation between commute time and well-being score. Data points are plotted with commute time on the x-axis and well-being score on the y-axis. - **Graph A**: Shows a downward trend, with scores decreasing as commute time increases. - **Graph B**: Displays a non-linear pattern with no apparent trend. - **Graph C**: Similar to Graph A, shows a clear downward trend. - **Graph D**: Presents a positive trend where scores rise as commute time increases, but with variability. ### Task: (c) Determine the linear correlation coefficient between commute time and well-being score. - **r =** (Round to three decimal places as needed.) Users are prompted to enter their answer in the provided box and then click "Check Answer" to verify. Overall, the image is used to determine the relationship between commute time and well-being, encouraging users to analyze the patterns in the scatter plots to estimate the correlation coefficient.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

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
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