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 Commute Time - Well-Being test. Complete parts (a) through (d) below. (in minutes) Score 6 69.2 Click the icon to view the table of critical values of the correlation coefficient 4 688 26 617 674 46 66.2 66 66.1 95 63.1 @ D. The explanatory variable is commute time and the response variable is the well-being score because commute time affects the well-being score. (b) Draw a scatter diagram of the data. Which of the following represents the data? OA. OB. oc. i Q ~ i ~ 7 g Q E E 2 z a - 6 60 70 Time (min) (c) Determine the linear correlation coefficient between commute time and well-being score. r=| | (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 _) 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. Yes, the variables commute time and well-being score are positively associated because ris negative and the absolute value of the correlation coefficient is greater than the critical value C. 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 D. 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 'al value OE 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 OF. Yes, the variables commute time and well-being score are positively associated because ris positive and the absolute value of the correlation coefficient is greater than the critical value Time (min) 110