Question: Physicians are recommending more exercise for patients, especially those who are overweight. One benefit of regular exercise is thought to be a reduction of bad cholesterol. To study the relationship, a doctor selected a sample of patients who did not do regular exercise, and measured their cholesterol level. She then started the patients on a program of exercise, and asked them to record the number of minutes per week that they exercised. After 4 months, she re-measured their cholesterol levels. The data are contained in the file Cholesterol.xls .

1. Plot the data. Does it appear that amount of exercise and cholesterol level change is related?
2. Determine the regression equation relating cholesterol reduction to amount of exercise, and find a 95% confidence interval for the independent variable (exercise). Provide a brief and meaningful written interpretation of the coefficients and the confidence interval.
3. Can we conclude that exercise affects the change in cholesterol level of the exerciser?
4. How well does the linear model fit this data? Justify your response using the regression output.

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