5. A researcher wishes to determine if the number of hours a person exercises depends on their a The data for the sample are shown below: 18 20 Age Hours of Exercise 24 26 29 33 36 44 44 51 53 11 7 4 9 5 1 2 Age and Hours of Exercise 12 10 15 20 25 30 35 40 45 50 55 Age A. What is the explanatory variable? B. What is the response variable? C. What is the form, strength and direction of this relationship? D. Calculate the correlation coefficient (r) for the relationship between age and hours of exercise. Hours of Exercise 00

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5. A researcher wishes to determine if the number of hours a person exercises depends on their age.
The data for the sample are shown below:
Age
Hours of Exercise
18
20
24
26
29
33
36 44
44
51
53
11
8
5
4
9.
5
1
3
Age and Hours of Exercise
12
10
6.
4.
15
20
25
30
35
40
45
50
55
Age
A. What is the explanatory variable?
B. What is the response variable?
C. What is the form, strength and direction of this relationship?
D. Calculate the correlation coefficient (r) for the relationship between age and hours of exercise.
E. What proportion of variation in hours of exercise is explained by its relationship with age?
F. Find the equation of the least squares regression line for this relationship.
G. Is it appropriate to use the regression line you found, to predict the average number of hours
exercised for someone who is 35? Explain. If the prediction is appropriate, calculate the
average number of hours.
H. In your own words, explain what is extrapolation?
Hours of Exercise
Transcribed Image Text:5. A researcher wishes to determine if the number of hours a person exercises depends on their age. The data for the sample are shown below: Age Hours of Exercise 18 20 24 26 29 33 36 44 44 51 53 11 8 5 4 9. 5 1 3 Age and Hours of Exercise 12 10 6. 4. 15 20 25 30 35 40 45 50 55 Age A. What is the explanatory variable? B. What is the response variable? C. What is the form, strength and direction of this relationship? D. Calculate the correlation coefficient (r) for the relationship between age and hours of exercise. E. What proportion of variation in hours of exercise is explained by its relationship with age? F. Find the equation of the least squares regression line for this relationship. G. Is it appropriate to use the regression line you found, to predict the average number of hours exercised for someone who is 35? Explain. If the prediction is appropriate, calculate the average number of hours. H. In your own words, explain what is extrapolation? Hours of Exercise
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