Question
Association Between Physical Activity and HDL Cholesterol Levels Researchers are interested in determining if there's a linear relationship between the amount of weekly physical activity
Association Between Physical Activity and HDL Cholesterol Levels Researchers are interested in determining if there's a linear relationship between the amount of weekly physical activity (in hours) and levels of HDL (high-density lipoprotein) cholesterol in the blood (in mg/dL). HDL cholesterol is often termed "good cholesterol," and higher levels are usually beneficial.
A sample of 100 adults was recruited, and each participant's weekly hours of physical activity and HDL cholesterol level were recorded. The data summary is as follows: - Sum of hours of physical activity, x = 400 hours - Sum of HDL cholesterol levels, y = 5,800 mg/dL - Sum of the product of hours of physical activity and HDL cholesterol levels, x y = 24,500 hour*mg/dL - Sum of squared hours of physical activity, x^2 = 1,700 hours^2 - Number of participants, n = 100. Using the simple linear regression formula: y = 0 + 1x, Answer the following:
3. Calculate the slope 1 of the regression line (5 points).
4. Calculate the intercept 0 of the regression line (5 points).
5. Interpret the meaning of both the slope and intercept in the context of this study (10 points).
6. If an individual exercises 5 hours a week, predict their HDL cholesterol level using the regression equation (10 points).
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