nse variable is commute time because ase variablo ie commuto timo bo caus
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 88CR
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Question
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![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) Time (in
through (d) below.
Commute
minutes) Well-Being Score
7
69.3
E Click the icon to view the critical values for the correlation coefficient.
17
68.2
25
67.5
37
67.2
54
66.5
65
65.8
102
63.3
(a) Which variable is likely the explanatory variable and which is the response variable?
O A. The explanatory variable is commute time and the response variable is the well-being score because well-being score affects the commute time score.
B. The explanatory variable is commute time and the response variable is the well-being score because commute time affects the well-being score.
Cc. The explanatory variable is the well-being score and the response variable is commute time because well-being score affects the commute time.
O D. The explanatory variable is the well-being score and the response variable is commute time because commute time affects the well-being score.
(b) Draw a scatter diagram of the data. Which of the following represents the data?
O A.
OD.
110-
70어-
70-
70-
Q
60-
60-
60+
70
110
Commute Time (min)
110
60
Commute Time (min)
110
Commute Time (min)
Commute Time (min)
(c) Determine the linear correlation coefficient between commute time and well-being score.
r=
(Round to three decimal places as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffbe8f25a-274a-4bcf-a223-cc1470cb52d0%2F0449741a-ae5f-48cc-9ff2-d73fedc28539%2Fg4vkwxi_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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) Time (in
through (d) below.
Commute
minutes) Well-Being Score
7
69.3
E Click the icon to view the critical values for the correlation coefficient.
17
68.2
25
67.5
37
67.2
54
66.5
65
65.8
102
63.3
(a) Which variable is likely the explanatory variable and which is the response variable?
O A. The explanatory variable is commute time and the response variable is the well-being score because well-being score affects the commute time score.
B. The explanatory variable is commute time and the response variable is the well-being score because commute time affects the well-being score.
Cc. The explanatory variable is the well-being score and the response variable is commute time because well-being score affects the commute time.
O D. The explanatory variable is the well-being score and the response variable is commute time because commute time affects the well-being score.
(b) Draw a scatter diagram of the data. Which of the following represents the data?
O A.
OD.
110-
70어-
70-
70-
Q
60-
60-
60+
70
110
Commute Time (min)
110
60
Commute Time (min)
110
Commute Time (min)
Commute Time (min)
(c) Determine the linear correlation coefficient between commute time and well-being score.
r=
(Round to three decimal places as needed.)
![i Critical Values
Critical Values for Correlation Coefficient
3 0.997
4 0.950
5 0.878
6 0.811
7 0.754
8 0.707
9 0.666
10 0.632
11 0.602
12 0.576
13 0.553
14 0.532
15 0.514
16 0.497
17 0.482
18 0.468
19 0.456
20 0.444
21 0.433
22 0.423
23 0.413
24 0.404
25 0.396
26 0.388
27 0.381
28 0.374
29 0.367
30 0.361
Print
Done](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffbe8f25a-274a-4bcf-a223-cc1470cb52d0%2F0449741a-ae5f-48cc-9ff2-d73fedc28539%2Fim6bx0q_processed.jpeg&w=3840&q=75)
Transcribed Image Text:i Critical Values
Critical Values for Correlation Coefficient
3 0.997
4 0.950
5 0.878
6 0.811
7 0.754
8 0.707
9 0.666
10 0.632
11 0.602
12 0.576
13 0.553
14 0.532
15 0.514
16 0.497
17 0.482
18 0.468
19 0.456
20 0.444
21 0.433
22 0.423
23 0.413
24 0.404
25 0.396
26 0.388
27 0.381
28 0.374
29 0.367
30 0.361
Print
Done
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