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...




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.)



Jun 05, 2022
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