patient how many minutes per week (on average) he or she exercised. He also measured their cholesterol levels. The independent variable is Exercise Time (as in weekly exercise time in minutes). The response variable is Change (as in change in cholesterol level before and after exercise program). a. Use information in Figure 2 and choose the correct regression equation i. y = −23.669 + 29.609x
1. Physicians have been recommending more exercise for their patients, particularly those who are overweight. One benefit of regular exercise appears to be a reduction in choles- terol, a substance associated with heart disease. In order to study the relationship more carefully, a physician took a random sample of 50 patients who do not exercise. He measured their cholesterol levels. He then started these patients on regular exercise programs. After four months, the physician asked each patient how many minutes per week (on average) he or she exercised. He also measured their cholesterol levels. The independent variable is Exercise Time (as in weekly exercise time in minutes). The response variable is Change (as in change in cholesterol level before and after exercise program).
a. Use information in Figure 2 and choose the correct regression equation
i. y = −23.669 + 29.609x
ii. y= 29.609 − 23.669x
iii. y = −239.772 + 0.981x
iv. y = 0.981 − 239.772x
b. Based on your answer in part (a), if the weekly exercise time is in- creased by one minute, the average change in cholesterol level will increase by
i. 29.609
ii. 0.981
iii. 23.669
iv. 239.772
c. Use Figure 3 to find value of s
i. 733.357
ii. 27.081
iii. 876.722
iv. 29.609
d. Use Figure 3 to find value of r2
i. 1.054
ii. 0.948
iii. 0.974
iv. 1.026
e. Based on your answer in part (d), the weekly exercise time in minutes is an excellent predictor of change in cholesterol level before and after exercise program
i. True
ii. False
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