Question

Commute Time​ (in minutes) ​Well-Being Score 6 69.9 14 68.4 26 67.6 34 67.1 47 66.5 73 65.2 105 63.5 ​(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 the​ well-being score and the response variable is commute time 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 commute time and the response variable is the​ well-being score because commute time affects the​ well-being score. Your answer is correct. ​(b) Draw a scatter diagram of the data. Which of the following represents the​ data? A. 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: (63.6, 106); (65.2, 74); (66.6, 48); (67.2, 34); (67.6, 26); (68.4, 14); (70.0, 6). The points follow the general pattern of a straight line that falls from left to right. 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: (6, 70.0); (14, 68.4); (26, 67.6); (34, 67.2); (48, 66.6); (74, 65.2); (106, 63.6). 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: (6, 63.6); (14, 65.2); (26, 66.6); (34, 67.2); (48, 67.6); (74, 68.4); (106, 70.0). The points follow the general pattern of a curve that rises from left to right at a decreasing rate. D. 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: (6, 63.6); (14, 70.0); (26, 65.2); (34, 68.4); (48, 66.6); (74, 67.6); (106, 67.2). The vertical spread of the points decreases 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.)

Answer 1

Commute time is increasing as Well being score decreases hence

Well being score is independent and Commute time is dependent

Response variable=Commute time

Explanatory variable= Well Being score

Commute 120 100 80 60 40 20 0 y -16.353x + 1137.4 R2 =0.9618 Commute _-Linear (Commute) 62 6466 68 072 20

hence option C

71 70 y =-0.0578x + 69.487 R2 =0.9567 69 68 67 Seriesi Linear (Series1) 65 64 63 0 20 40 60 80 100 120

Commute 120 y 3.2855x-175.94 R20.0377 100 80 60 Commute Linear (Commute) ー- 40 20 0 62 64 68 70 72

corelation coefficient=0.194187

=0.194

using excel correl() function we get 0.194