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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

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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) below. Click the icon to view the critical values for the correlation coefficient Commute Time (in minutes) Well Being Score 4 693 14 68.3 24 679 35 67 46 66.5 74 654 96 639 (a) Which variable is likely the explanatory variable and which is the response variable? O A. The explanatory variable is the well-being score and the response variable is commute time because well-being score affects the commute time OB. The explanatory variable is commute time and the response variable is the well-being score because well-being score affects the commute time score OC. The explanatory variable is commute time and the response variable is the well-being score because commute time affects the well-being score. OD. The explanatory variable is the well-being score and the response variable is commute time because commute time affects the well-being score (b) Draw a scatter diagram of the data which of the following represents the data? OA B OC. OD a a 70 TO 110 70 a o . LA 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) below Click the icon to view the critical values for the correlation coefficient Commute Time (in minutes) Well Being Score 4 69.3 14 683 24 679 35 675 46 665 74 65.4 96 63.9 a Score @ Score co 5. 80+ 507 110 Commute Time min 60-1 0 Commute Time 110 0 50 Commuter 70 110 Comitato) (c) Determine the linear correlation coefficient between commute time and well-being score re (Round to three decimal places as needed) (a) Does a linear relation exist between the commute time and well-being index score? 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 OB. Yes, there appears to be a positive linear association because r is positive and is less than the critical value OC. Yes, there appears to be a positive linear association because ris positive and is greater than the critical value OD. No, there is no linear association sincer is positive and is less than the critical value

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