Solve the problems using your graphing calculator. Round all parameter values to the nearest hundredth. Complete Steps 1-4 in order.
Caleb is training for an upcoming race. He runs a mile every day, keeps track of his timing, and records his progress.
Day # 1 2 3 4 5 6 7
Run Time
(min) 8.2 8.1 7.5 7.8 7.4 7.2 7.1
1. How strong is the relationship between the two data sets?
A. moderately strong
B. perfect
C. weak
D. very strong
2. What is the value of the correlation coefficient?
A. -0.19
B. -0.93
C. 0.19
D. 0.93
3. If the trend stays the same, which run time for the race should Caleb expect after 2 more weeks?
A. 7.03 min
B. 5.71 min
C. 4.37 min
D. 11.02 min
4. Choose the function that best represents the data.
A. y=8.36x+0.19
B. y=8.36x-0.19
C. y=-0.19x+8.36
D. y=0.19x-8.36
5. Answer the question for the situation. Check TWO that apply.
There is a correlation between the mean temperature and ice cream sales. Which of the following statements are true?
A. There is causation between the temperature and the number of ice cream sales.
B. The correlation between the two quantities should be fairly strong to strong.
C. Based upon the study, the highest number of ice cream sales should be on the hottest day.
D. A value of -9.8 could be a reasonable slope for the function equation.
E. A value of r=.89 is a reasonable measurement for the correlation coefficient of this association.
