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) Commute below. Time (in minutes) Well-Being Score Critical Values Click the icon to view the critical values for the correlation coefficient. 17 69.8 13 58.5 24 67.6 37 37.3 Critical Values for Correlation Coefficient 49 6.2 71 n 65.9 3 0.997 98 63.4 4 0.950 5 0.878 (a) Which variable is likely the explanatory variable and which is the response variable? 6 0.811 7 0.754 O 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. 8 0.707 O B. The explanatory variable is commute time and the response variable is the well-being score because commute time affects the well-being score. 9 0.666 10 0.632 O C. The explanatory variable is the well-being score and the response variable is commute time because commute time affects the well-being score. 11 0.602 O D. The explanatory variable is the well-being score and the response variable is commute time because well-being score affects the commute time. 12 0.576 (b) Draw a scatter diagram of the data. Which of the following represents the data? 13 0.553 14 0.532 O A. O B. O C. OD. 15 0.514 16 0.497 70- 70- 70- 110 17 0.482 18 0.468 O 19 0.456 Score Score Score Score 20 0.444 21 0.433 110 110 60 70 22 0.423 Commute Time (min) Commute Time (min) Commute Time (min) Commute Time (min) 23 0.413 24 0.404 (c) Determine the linear correlation coefficient between commute time and well-being score. 25 0.396 26 0.388 27 0.381 (Round to three decimal places as needed.) 28 0.374 29 0.367 (d) Does a linear relation exist between the commute time and well-being index score? 30 0.361 O A. Yes, there appears to be a negative linear association because r is negative and is less than the negative of the critical value. O B. No, there is no linear association since r is positive and is less than the critical value. O C. Yes, there appears to be a positive linear association because r is positive and is less than the critical value. Print Done O D. Yes, there appears to be a positive linear association because r is positive and is greater than the critical value