Question

6).

a.
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 5 69.5 16 68.9 27 67.5 34 67.4 47 66.9 68 65.9 97 63.9 (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. O c. 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 commute time and the response variable is the well-being score because commute time affects the well-being score. (b) Draw a scatter diagram of the data. Which of the following represents the data? A. OB. Oc. D. 70- 70-1 110- 70- . Ho Ho 60- 110 Commute Time (min) 60+ 110 Commute Time (min) 60 70 Commute Time (min) 60+ 110 Commute Time (min) (c) Determine the linear correlation coefficient between commute time and well-being score. (Round to three decimal places as needed.) (d) 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. O B. Yes, there appears to be a positive linear association because r is positive and is less than the critical value. O C. No, there is no linear association since r is positive and is less than the critical value.
b.b.

Answer 1

Ans a ) option D is true

Ans b ) option B is true

Scatterplot of well being score vs commute time 70 69 68 67 well being score 66 65 64 0 20 80 100 40 60 commute time

using minitab>stat>basic stat>correlation

we have

Correlation: MRI, IQ

Pearson correlation of MRI and IQ = 0.778
P-Value = 0.008

c ) r = 0.778

d ) option A is true