MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Question
The data in the table to the right are based on the results of a survey comparing the commute time of adults to their score on a well-being test. Complete parts (a) through (d) below.
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Part 1
Commute Time
(in minutes) |
Well-Being
Score
|
|
---|---|---|
3
|
69.8
|
|
14
|
68.7
|
|
25
|
67.5
|
|
34
|
67.2
|
|
53
|
66.7
|
|
65
|
65.5
|
|
104
|
63.9
|
|
Question content area bottom
Part 1
(a) Which variable is likely the explanatory variable and which is the response variable?
The explanatory variable is commute time and the response variable is the well-being score because commute time affects the well-being score.
The explanatory variable is the well-being score and the response variable is commute time because commute time affects the well-being score.
The explanatory variable is the well-being score and the response variable is commute time because well-being score affects the commute time.
The explanatory variable is commute time and the response variable is the well-being score because well-being score affects the commute time score.
Part 2
(b) Draw a scatter diagram of the data. Which of the following represents the data?
Part 3
(c) Determine the linear correlation coefficient between commute time and well-being score.
r=enter your response here
(Round to three decimal places as needed.)Part 4
(d) Does a linear relation exist between the commute time and well-being index score? Select the correct choice below and fill in the answer box to complete your choice.
(Round to three decimal places as needed.)
No, the variables commute time and well-being score are not linearly related because r is negative and the absolute value of the correlation coefficient is less than the critical value
enter your response here.
Yes, the variables commute time and well-being score are negatively associated because r is positive and the absolute value of the correlation coefficient is greater than the critical value
enter your response here.
No, the variables commute time and well-being score are not linearly related because r is positive and the absolute value of the correlation coefficient is less than the critical value
enter your response here.
Yes, the variables commute time and well-being score are negatively associated because r is negative and the absolute value of the correlation coefficient is greater than the critical value
enter your response here.
Yes, the variables commute time and well-being score are positively associated because r is negative and the absolute value of the correlation coefficient is greater than the critical value
enter your response here.
Yes, the variables commute time and well-being score are positively associated because r is positive and the absolute value of the correlation coefficient is greater than the critical value
enter your response here.
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