Commute_Time Score 69.9 68.5 67.2 67.1 66.3 65.7 63.2 4 14 26 34 48 65 100
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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. The explanatory variable is the well-being score and the response variable is commute time because commute time affects the well-being score.
OB. The explanatory variable is the well-being score and the response variable is commute time because well-being score affects the commute time.
OC. The explanatory variable is commute time and the response variable is the well-being score because well-being score affects the commute time score.
ⒸD. The explanatory variable is commute time and the response variable is the well-being score because commute time affects the well-being score.
(b) Draw a scatter diagram of the data. Which of the following represents the data?
О A.
110
60
70
Time (min)
Q
Q
OB.
70-
60+
110
Time (min)
Q
a
G
ос.
(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? Select the correct choice below and fill in the answer box to complete your choice.
(Round to three decimal places as needed.)
OA 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
OB. Yes, the variables commute time and well-being score are positively associated because ris 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 ris positive 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 negative and the absolute value of the correlation coefficient is less than the critical value-.9763
OE. Yes, the variables commute time and well-being score are positively associated because ris negative 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 positive and the absolute value of the correlation coefficient is greater than the critical value
110
TIK⠀⠀⠀⠀
Score
60
Q
Q
O D.
70-
Score
110
Transcribed Image Text:Commute_Time Score
4
14
26
34
48
65
100
69.9
68.5
67.2
67.1
66.3
65.7
63.2
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