1. 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.

CommuteTime (in minutes)	Well-Being Score
5	69.2
16	68.1
24	67.4
37	67.3
48	66.8
73	65.3
99	63.6

Critical Values for Correlation Coefficient

n
3	0.997
4	0.950
5	0.878
6	0.811
7	0.754
8	0.707
9	0.666
10	0.632
11	0.602
12	0.576
13	0.553
14	0.532
15	0.514
16	0.497
17	0.482
18	0.468
19	0.456
20	0.444
21	0.433
22	0.423
23	0.413
24	0.404
25	0.396
26	0.388
27	0.381
28	0.374
29	0.367
30	0.361

(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 the well-being score and the response variable is commute time because commute time affects the well-being score.

C.

The explanatory variable is commute time and the response variable is the well-being score because well-being score affects the commute time 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.

(c) Determine the linear correlation coefficient between commute time and well-being score.

r=_____

(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 one choice.(Round to three decimal places as needed.) Select one

A.

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 _____

B.

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 _____

C.

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 ____

D.

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 _____

E.

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_____

F.

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 _____