The data in the table to the right are based on the results of a survey comparing the commute ime of adults their score on a well-being test. Complete parts (a) through (d) below. Click the icon to view the table of critical values of the correlation coefficient. A. 110 60 a) Which variable is likely the explanatory variable and which is the response variable? OA. The explanatory variable is the well-being score and the response variable is commute time because well-being score affects the commute time. OB. The explanatory variable is the well-being score and the response variable is commute time because commute time affects the well-being score. OC. The explanatory variable is commute time and the response variable is the well-being score because commute time affects the well-being score. OD. 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) Draw a scatter diagram of the data. Which of the following represents the data? OB. 70 Time (min) Q 110 0********** Score 60 Q O C. Commute Time (in minutes) :) Determine the linear correlation coefficient between commute time and well-being score. (Round to three decimal places as needed.) 7 17 Score 27 36 51 69 105 110 Q a Well-Being Score 69.8 68.1 67.4 67.1 66.2 65.6 63.7 2 O D. 70- 110 Time (min) Screen Shot 2023-... (i Critical Values Critical Values for Correlation Coefficie n 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
The data in the table to the right are based on the results of a survey comparing the commute ime of adults their score on a well-being test. Complete parts (a) through (d) below. Click the icon to view the table of critical values of the correlation coefficient. A. 110 60 a) Which variable is likely the explanatory variable and which is the response variable? OA. The explanatory variable is the well-being score and the response variable is commute time because well-being score affects the commute time. OB. The explanatory variable is the well-being score and the response variable is commute time because commute time affects the well-being score. OC. The explanatory variable is commute time and the response variable is the well-being score because commute time affects the well-being score. OD. 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) Draw a scatter diagram of the data. Which of the following represents the data? OB. 70 Time (min) Q 110 0********** Score 60 Q O C. Commute Time (in minutes) :) Determine the linear correlation coefficient between commute time and well-being score. (Round to three decimal places as needed.) 7 17 Score 27 36 51 69 105 110 Q a Well-Being Score 69.8 68.1 67.4 67.1 66.2 65.6 63.7 2 O D. 70- 110 Time (min) Screen Shot 2023-... (i Critical Values Critical Values for Correlation Coefficie n 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
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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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) below.
Click the icon to view the table of critical values of the correlation coefficient.
(a) Which variable is likely the explanatory variable and which is the response variable?
O A.
=
O A. The explanatory variable is the well-being score and the response variable is commute time because well-being score affects the commute time.
B. The explanatory variable is the well-being score and the response variable is commute time because commute time affects the well-being score.
C. The explanatory variable is commute time and the response variable is the well-being score because commute time affects the well-being score.
O D. 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) Draw a scatter diagram of the data. Which of the following represents the data?
110-
0
60
70
Time (min)
B.
Time (min)
110-
0+
60
Score
C
70
Time (min)
C.
70-
Commute Time
(in minutes)
7
17
27
36
51
69
105
60-
0
Score
Well-Being
Score
69.8
68.1
67.4
67.1
66.2
65.6
63.7
110
Score
D.
70-
60+
0
110
Time (min)
Screen Shot 2023-...
Critical Values
Critical Values for Correlation Coefficient
(c) Determine the linear correlation coefficient between commute time and well-being score.
(Round to three decimal places as needed.)
(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.)
O A. 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
B. 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
OC. 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
O D. 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
OE. 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
OF. 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
n
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
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