# 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
10 views
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.

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.

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

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...

### Want to see the full answer?

See Solution

#### Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

### Other 