\f12 0.576 13 0.553 14 0.532 15 0.514 16 0.497 17 0.482 18 0.468 19 0.456 20 0.444 21 0.433 22 0.423 23 0.413\fThe data in the table to the right are based on the results of a survey comparing the Commute Time Well-Being D commute time of adults to their score on a wellrbeing test. Complete parts (a) through (d) (in minutes) Score below. W 13 68.1 {:1/ Click the icon to View the table of critical values of the correlation coefficient. 23 514 3? ' 5?.1 49 55.3 ?3 ' 55.1 96 53.4 E) (a) Which variable is likely the explanatory variable and which is the response variable? (:3 A. The explanatory variable is the wellbeing score and the response variable is commute time because commute time aects the wellbeing score. (:3 B. The explanatory variable is commute time and the response variable is the wellbeing score because wellbeing score aftects the commute time score. O C. The explanatory variable is commute time and the response variable is the wellbeing score because commute time aects the wellbeing score. (:3 D. The explanatory variable is the wellbeing score and the response variable is commute time because wellbeing score affects the commute time. \"11 Draw a scatter dianram of the data Which nf thp tnllnwinn mnrnenntt: the data? (b) Draw a scatter diagram of the data. Which of the following represents the data? O A. O B. O C. O D. 70- 70- 110- 110- Time (min) Score Time (min) Score 60 110 110 60 70 60 70 Time (min) Time (min) Score Score(c) Determine the linear correlation coefficient between commute time and wellbeing score. r : I: (Round to three decimal places as needed.) (d) Does a linear relation exist between the commute time and well-being index score? Select the correct choice below and fill in the answer box to complete your choice. (Round to three decimal places as needed.) O A. No, the variables commute time and well-being score are not linearly related because r is negative and the absolute value of the correlation coefficient is less than the critical value B. No, the variables commute time and well-being score are not linearly related because r is positive and the absolute value of the correlation coefficient is less than the critical value O C. Yes, the variables commute time and well-being score are positively associated because r is positive and the absolute value of the correlation coefficient is greater than the critical valueO D. Yes, the variables commute time and well-being score are positively associated because r is negative and the absolute value of the correlation coefficient is greater than the critical value O E. Yes, the variables commute time and well-being score are negatively associated because r is negative and the absolute value of the correlation coefficient is greater than the critical value OF. Yes, the variables commute time and well-being score are negatively associated because r is positive and the absolute value of the correlation coefficient is greater than the critical value