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.  Commute Time​ (in minutes)​Well-Being Score 469.3 1368.8 2667.3 3567.2 5266.4 7565.4 10563.4 ​(a) Which variable is likely the explanatory variable and which is the response​ variable?  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.Your answer is correct. C.The explanatory variable is the​ well-being score and the response variable is commute time because​ well-being score affects the commute time. 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? A.   01106070Commute Time (min)Score    A scatter diagram has a horizontal axis labeled “Commute Time (minutes)” from 0 to 110 in increments of 10 and a vertical axis labeled “Score” from 60 to 70 in increments of 1. The following 7 approximate points are plotted, listed here from left to right: (4, 63.4); (14, 65.4); (26, 66.4); (36, 67.2); (52, 67.4); (76, 68.8); (106, 69.4). The points follow the general pattern of a curve that rises from left to right at a decreasing rate. B.   01106070Commute Time (min)Score    A scatter diagram has a horizontal axis labeled “Commute Time (minutes)” from 0 to 110 in increments of 10 and a vertical axis labeled “Score” from 60 to 70 in increments of 1. The following 7 approximate points are plotted, listed here from left to right: (4, 69.4); (14, 68.8); (26, 67.4); (36, 67.2); (52, 66.4); (76, 65.4); (106, 63.4). The points follow the general pattern of a straight line that falls from left to right.Your answer is correct. C.   01106070Commute Time (min)Score    A scatter diagram has a horizontal axis labeled “Commute Time (minutes)” from 0 to 110 in increments of 10 and a vertical axis labeled “Score” from 60 to 70 in increments of 1. The following 7 approximate points are plotted, listed here from left to right: (4, 63.4); (14, 69.4); (26, 65.4); (36, 68.8); (52, 66.4); (76, 67.4); (106, 67.2). The vertical spread of the points decreases from left to right. D.   60700110Commute Time (min)Score    A scatter diagram has a horizontal axis labeled “Commute Time (minutes)” from 60 to 70 in increments of 1 and a vertical axis labeled “Score” from 0 to 110 in increments of 10. The following 7 approximate points are plotted, listed here from left to right: (63.4, 106); (65.4, 76); (66.4, 52); (67.2, 36); (67.4, 26); (68.8, 14); (69.4, 4). The points follow the general pattern of a straight line that falls from left to right.​(c) Determine the linear correlation coefficient between commute time and​ well-being score. requals=nothing​(Round to three decimal places as​ needed.)

Question
Asked Dec 2, 2019
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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) through​ (d) below.
 
 
Commute Time​ (in minutes)
​Well-Being Score
 
4
69.3
 
13
68.8
 
26
67.3
 
35
67.2
 
52
66.4
 
75
65.4
 
105
63.4
 
​(a) Which variable is likely the explanatory variable and which is the response​ variable?
 
 
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.
Your answer is correct.
 
C.
The explanatory variable is the​ well-being score and the response variable is commute time because​ well-being score affects the commute time.
 
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?
 
A.
 
 
 
01106070Commute Time (min)Score
 
  •  
  •  
  •  
A scatter diagram has a horizontal axis labeled “Commute Time (minutes)” from 0 to 110 in increments of 10 and a vertical axis labeled “Score” from 60 to 70 in increments of 1. The following 7 approximate points are plotted, listed here from left to right: (4, 63.4); (14, 65.4); (26, 66.4); (36, 67.2); (52, 67.4); (76, 68.8); (106, 69.4). The points follow the general pattern of a curve that rises from left to right at a decreasing rate.
 
B.
 
 
 
01106070Commute Time (min)Score
 
  •  
  •  
  •  
A scatter diagram has a horizontal axis labeled “Commute Time (minutes)” from 0 to 110 in increments of 10 and a vertical axis labeled “Score” from 60 to 70 in increments of 1. The following 7 approximate points are plotted, listed here from left to right: (4, 69.4); (14, 68.8); (26, 67.4); (36, 67.2); (52, 66.4); (76, 65.4); (106, 63.4). The points follow the general pattern of a straight line that falls from left to right.
Your answer is correct.
 
C.
 
 
 
01106070Commute Time (min)Score
 
  •  
  •  
  •  
A scatter diagram has a horizontal axis labeled “Commute Time (minutes)” from 0 to 110 in increments of 10 and a vertical axis labeled “Score” from 60 to 70 in increments of 1. The following 7 approximate points are plotted, listed here from left to right: (4, 63.4); (14, 69.4); (26, 65.4); (36, 68.8); (52, 66.4); (76, 67.4); (106, 67.2). The vertical spread of the points decreases from left to right.
 
D.
 
 
 
60700110Commute Time (min)Score
 
  •  
  •  
  •  
A scatter diagram has a horizontal axis labeled “Commute Time (minutes)” from 60 to 70 in increments of 1 and a vertical axis labeled “Score” from 0 to 110 in increments of 10. The following 7 approximate points are plotted, listed here from left to right: (63.4, 106); (65.4, 76); (66.4, 52); (67.2, 36); (67.4, 26); (68.8, 14); (69.4, 4). The points follow the general pattern of a straight line that falls from left to right.
​(c) Determine the linear correlation coefficient between commute time and​ well-being score.
 
requals=nothing
​(Round to three decimal places as​ needed.)
check_circle

Expert Answer

Step 1

Explanatory variable: it is a variable that can be manipulated in an experiment.

Response variable: it depends on the values of independent variable.

Step 2

a).

Option B.

The explanatory variable is commute time and the response variable is the well-being score because commute time affects the well-being score.

Step 3

b).

Step-by-step procedure to obtain the scatter diagram using Excel Mega stat is as follows:

  • Choose MegaStat > Correlation/Regression > Scatterplot.
  • In Input ranges, enter the values of Commute time, Well-being Scor...

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