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

ASSESSMENT Direction: Read, analyze and answer the following problems below. Show all necessary solutions. 1. The data below show the age and systolic blood pressure of six randomly selected subjects. Compute for the correlation coefficient and interpret the results. Age (x) Pressure (y) 43 48 56 61 67 70 128 120 135 143 141 152

K 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. C (a) which variable is likely the explanatory variable and which is the response variable? Commute Time (in minutes) 4 16 23 35 48 72 98 Well-Being Score 69.2 68.4 67.2 67.1 66.5 66.1 63.8 O A. The explanatory variable is commute time and the response variable is the well-being score because well-being score affects the commute time score. 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 commute time affects the well-being score. O D. The explanatory variable is the well-being score and the response variable is commute time…

use the sample data to construct a scatterplot. Use the first variable for the x-axis. Based on the scatterplot, what do you conclude about a linear correlation? FORECAST AND ACTUAL TEMPERATURES The table lists actual high temperatures and the high temperatures that were previously forecasted for these same days. The table includes data for ten different days near the author’s home. What does the result suggest about the accuracy of five-day predicted high temperatures?