survey compa ugn (a) ommute Time (in minutes) Well-Being Score elow Critical Values O Click the icon to view the critical values for the correlation coefficient. 69.8 13 68.5 24 67.6 Critical Values for 37 67.3 49 66.2 65.9 63.4 71 98 a) Which variable is likely the explanatory variable and which is the response variable? OA. The explanatory variable is commute time and the response variable is the well-being score because well-being score affects the commute time score. OB. The explanatory variable is commute time and the response variable is the well-being score because commute time affects the well-being score. OC. The explanatory variable is the well-being score and the response variable is commute time because commute time afects the wel-being score. OD. The explanatory variable is the well-being score and the response variable is commute time because well-being score affects the commute time. b) Draw a scatter diagram of the data. Which of the following represents the data? OB. Oc. OD. 110 Commute Time Commute Tie i Commute Time min Commute Time min c) Determine the linear corelation coefficient between commute time and well-being score. 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
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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)
Commute
Time (in
minutes) Well-Being Score
below.
Critical Values
Click the icon to view the critical values for the correlation coefficient.
7
69.8
13
68.5
24
67.6
Critical Values for Correlation Coefficient
37
67.3
49
66.2
n
71
65.9
3
0.997
98
63.4
4
0.950
0.878
.....
(a) Which variable is likely the explanatory variable and which is the response variable?
0.811
7
0.754
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.
8.
0.707
B. The explanatory variable is commute time and the response variable is the well-being score because commute time affects the well-being score.
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
C. The explanatory variable is the well-being score and the response variable is commute time because commute time affects the well-being score.
D. The explanatory variable is the well-being score and the response variable is commute time because well-being score affects the commute time.
(b) Draw a scatter diagram of the data. Which of the following represents the data?
A.
В.
OC.
D.
70-
70-
70-
110-
60-
0+
60
Commute Time (min)
60-
60-
110
110
Commute Time (min)
110
70
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.)
(d) Does a linear relation exist between the commute time and well-being index score?
A. Yes, there appears to be a negative linear association because r is negative and is less than the negative of the critical value.
B. No, there is no linear association since r is positive and is less than the critical value.
C. Yes, there appears to be a positive linear association because r is positive and is less than the critical value.
Print
Done
D. Yes, there appears to be a positive linear association because r is positive and is greater than the critical value.
Score
Score
.....
Score
Score
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) through (d) Commute Time (in minutes) Well-Being Score below. Critical Values Click the icon to view the critical values for the correlation coefficient. 7 69.8 13 68.5 24 67.6 Critical Values for Correlation Coefficient 37 67.3 49 66.2 n 71 65.9 3 0.997 98 63.4 4 0.950 0.878 ..... (a) Which variable is likely the explanatory variable and which is the response variable? 0.811 7 0.754 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. 8. 0.707 B. The explanatory variable is commute time and the response variable is the well-being score because commute time affects the well-being score. 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 C. The explanatory variable is the well-being score and the response variable is commute time because commute time affects the well-being score. D. The explanatory variable is the well-being score and the response variable is commute time because well-being score affects the commute time. (b) Draw a scatter diagram of the data. Which of the following represents the data? A. В. OC. D. 70- 70- 70- 110- 60- 0+ 60 Commute Time (min) 60- 60- 110 110 Commute Time (min) 110 70 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.) (d) Does a linear relation exist between the commute time and well-being index score? A. Yes, there appears to be a negative linear association because r is negative and is less than the negative of the critical value. B. No, there is no linear association since r is positive and is less than the critical value. C. Yes, there appears to be a positive linear association because r is positive and is less than the critical value. Print Done D. Yes, there appears to be a positive linear association because r is positive and is greater than the critical value. Score Score ..... Score Score
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