Click the icon to view the table of critical values of the correlation coefficient. 4 15 24 37 51 74 100 69.6 68.1 67.7 67.4 66.7 66.1 63.2 (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.) OA. 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 value OB. 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 OC. 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 OD. 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 OE. 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 positively associated because r is negative and the absolute value of the correlation coefficient is greater than the critical value
Click the icon to view the table of critical values of the correlation coefficient. 4 15 24 37 51 74 100 69.6 68.1 67.7 67.4 66.7 66.1 63.2 (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.) OA. 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 value OB. 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 OC. 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 OD. 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 OE. 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 positively associated because r is negative and the absolute value of the correlation coefficient is greater than the critical value
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 88CR
Related questions
Question
Transcribed Image Text:The data in the table to the right are based on the results of a survey comparing the commute
Ktime of adults to their score on a well-being test. Complete parts (a) through (d) below.
Click the icon to view the table of critical values of the correlation coefficient.
***
Commute Time
(in minutes)
4
15
24
37
51
74
100
Well-Being
Score
69.6
68.1
67.7
67.4
66.7
66.1
63.2
(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.)
OA. 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 value
OB. 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
OC. 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
OD. 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
OE. 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 positively associated because r is negative and the absolute value of the correlation coefficient is greater than the critical value
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 table of critical values of the correlation coefficient.
OA.
70-
60-
0
110
Time (min)
(a) Which variable is likely the explanatory variable and which is the response variable?
variable is the well-being score and the response variable is commute time because commute time affects the well-being score.
OA. The explanatory
OB. The explanatory variable is commute time and the response variable is the well-being score because commute time affects the well-being score.
OC. The explanatory variable is the well-being score and the response variable is commute time because well-being score affects the commute time.
O D. The explanatory variable is commute time and the response variable is the well-being score because well-being score affects the commute time score.
(b) Draw a scatter diagram of the data. Which of the following represents the data?
Q
O B.
(սյա) թայ
70-
60-
0
fut
Score
***
110
D
O C.
110
Commute Time
(in minutes)
60
4
15
Score
24
37
51
74
100
70
Well-Being
Score
Q
Q
69.6
68.1
67.7
67.4
66.7
66.1
63.2
OD.
110-
0-
60
70
Time (min)
Q
Q
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 2 images
Recommended textbooks for you
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL