The data in the table to the right are based on the results of a surveycomparing the commute time of adults to their score on a well-beingtest. Complete parts (a) through (d) below.Commute TimeWell-Being(in minutes)Score469.51668.1E Click the icon to view the table of critical values of the correlation2667.8coefficient.3467.44666.66565.310363.2(a) Which variable is likely the explanatory variable and which is the response variable?O A. The explanatory variable is commute time and the response variable is the well-being score because well-being score affects thecommute time score.O B. The explanatory variable is commute time and the response variable is the well-being score because commute time affects thewell-being score.O C. The explanatory variable is the well-being score and the response variable is commute time because well-being score affects thecommute time.O D. The explanatory variable is the well-being score and the response variable is commute time because commute time affects thewell-being score.(b) Draw a scatter diagram of the data. Which of the following represents the data?OA.O B.O C.O D.110-70-110-70-6010-60Time (min)060110Time (min)7011070ScoreScore(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 boxto complete your choice.(Round to three decimal places as needed.)O A. Yes, the variables commute time and well-being score are negatively associated because r is positive and the absolute value of thecorrelation coefficient is greater than the critical valueB. Yes, the variables commute time and well-being score are positively associated because r is positive and the absolute value of thecorrelation coefficient is greater than the critical valueO C. Yes, the variables commute time and well-being score are negatively associated because r is negative and the absolute value of thecorrelation coefficient is greater than the critical valueO D. No, the variables commute time and well-being score are not linearly related because r is positive and the absolute value of thecorrelation coefficient is less than the critical valueO E. Yes, the variables commute time and well-being score are positively associated because r is negative and the absolute value of thecorrelation coefficient is greater than the critical valueO F. No, the variables commute time and well-being score are not linearly related because r is negative and the absolute value of thecorrelation coefficient is less than the critical valueTime (min) lei Critical ValuesleCritical Values for Correlation Coefficient3 0.9974 0.9500.8786 0.8117 0.7548 0.7079 0.66610 0.63211 0.60212 0.57613 0.55314 0.53215 0.51416 0.49717 0.48218 0.46819 0.45620 0.44421fre0.43322 0.42323 0.41324 0.40425 0.39626 0.38827 0.38128 0.37429 0.36730 0.361itihePrintDonea

Name: The data in the table to the right are based on the results of a surv
Uploaded: 2024-03-20T07:06:16.000Z
Channel: Bartleby
Description: The data in the table to the right are based on the results of a surveycomparing the commute time of adults to their score on a well-beingtest. Complete parts (a) through (d) below.Commute TimeWell-Being(in minutes)Score469.51668.1E Click the icon t