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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. 60+ 110 Commute Time (min) (a) Which variable is likely the explanatory variable and which is the response variable? A. The explanatory variable is commute time and the response variable is the well-being score because commute time affects the well-being score. 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 the well-being score and the response variable is commute time 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 well-being score affects the commute time. (b) Draw a scatter diagram of the data. Which of the following represents the data? A. OB. Q Q G 1104 ORAS 60 70 Commute Time (min) (c) Determine the linear correlation coefficient between commute time and well-being score. Q Q 5 (Round to three decimal places as needed.) (d) Does a linear relation exist between the commute time and well-being index score? OA. 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 ris positive and is greater than the critical value. OC. No, there is no linear association since r is positive and is less than the critical value. OD. Yes, there appears to be a positive linear association because r is positive and is less than the critical value. O C. I 70- Commute Time (in minutes) Well-Being Score 69.1 68.4 67.7 5 14 60- 0 27 34 51 65 104 Itte LIEW 67.4 66.1 65.5 63.7 110 Commute Time (min) O D. 70- 60+ 0 110 Commute Time (min) Q

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. 60+ 110 Commute Time (min) (a) Which variable is likely the explanatory variable and which is the response variable? A. The explanatory variable is commute time and the response variable is the well-being score because commute time affects the well-being score. 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 the well-being score and the response variable is commute time 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 well-being score affects the commute time. (b) Draw a scatter diagram of the data. Which of the following represents the data? A. OB. Q Q G 1104 ORAS 60 70 Commute Time (min) (c) Determine the linear correlation coefficient between commute time and well-being score. Q Q 5 (Round to three decimal places as needed.) (d) Does a linear relation exist between the commute time and well-being index score? OA. 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 ris positive and is greater than the critical value. OC. No, there is no linear association since r is positive and is less than the critical value. OD. Yes, there appears to be a positive linear association because r is positive and is less than the critical value. O C. I 70- Commute Time (in minutes) Well-Being Score 69.1 68.4 67.7 5 14 60- 0 27 34 51 65 104 Itte LIEW 67.4 66.1 65.5 63.7 110 Commute Time (min) O D. 70- 60+ 0 110 Commute Time (min) Q

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 15PPS
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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. Score 70+ r= 60- (a) Which variable is likely the explanatory variable and which is the response variable? A. The explanatory variable is commute time and the response variable is the well-being score because commute time affects the well-being score. B. The explanatory variable is commute time and the response variable is the well-being score because well-being score affects the commute time score. C. The explanatory variable is the well-being score and the response variable is commute time because commute time affects the well-being score. D. The explanatory variable is the well-being score and the response variable is commute time because well-being score affects the commute time. (b) Draw a scatter diagram of the data. Which of the following represents the data? A. B. 110 Commute Time (min) 0 Q Score (Round to three decimal places as needed.) 110 0- 70 Commute Time (min) (c) Determine the linear correlation coefficient between commute time and well-being score. 60 Q C (d) Does a linear relation exist between the commute time and well-being index score? A. Yes, there appears to be a negative linear association because r is negative and is less than the negative of the critical value. B. Yes, there appears to be a positive linear association because r is positive and is greater than the critical value. C. No, there is no linear association since r is positive and is less than the critical value. D. Yes, there appears to be a positive linear association because r is positive and is less than the critical value. C O C. Score 70+ Commute Time (in minutes) Well-Being Score 69.1 68.4 67.7 67.4 66.1 65.5 63.7 60+ 0 5 14 27 34 51 65 104 110 Commute Time (min) Q O D. Score 70- 60+ 0 1 110 Commute Time (min)
Transcribed Image Text: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. Score 70+ r= 60- (a) Which variable is likely the explanatory variable and which is the response variable? A. The explanatory variable is commute time and the response variable is the well-being score because commute time affects the well-being score. B. The explanatory variable is commute time and the response variable is the well-being score because well-being score affects the commute time score. C. The explanatory variable is the well-being score and the response variable is commute time because commute time affects the well-being score. D. The explanatory variable is the well-being score and the response variable is commute time because well-being score affects the commute time. (b) Draw a scatter diagram of the data. Which of the following represents the data? A. B. 110 Commute Time (min) 0 Q Score (Round to three decimal places as needed.) 110 0- 70 Commute Time (min) (c) Determine the linear correlation coefficient between commute time and well-being score. 60 Q C (d) Does a linear relation exist between the commute time and well-being index score? A. Yes, there appears to be a negative linear association because r is negative and is less than the negative of the critical value. B. Yes, there appears to be a positive linear association because r is positive and is greater than the critical value. C. No, there is no linear association since r is positive and is less than the critical value. D. Yes, there appears to be a positive linear association because r is positive and is less than the critical value. C O C. Score 70+ Commute Time (in minutes) Well-Being Score 69.1 68.4 67.7 67.4 66.1 65.5 63.7 60+ 0 5 14 27 34 51 65 104 110 Commute Time (min) Q O D. Score 70- 60+ 0 1 110 Commute Time (min)
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