Interpretation of a Regression Model
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Need help understanding the slope of a regression line and if the conclusion is justified.
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Interprets the results of a regression model.
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A health researcher is interested in determining whether or not the speed at which people walk is related to their cholesterol levels. He picks 100 adult volunteers at random, checks their cholesterol levels, and then times each one while they walk a stretch of 100 yards. He is amazed at the results: a simple regression between the walk times and the cholesterol levels has an R2 of 0.98 and the slope of the regression line is 0.07. Would he be justified in concluding that walking slowly may cause high cholesterol or that high cholesterol may affect walking speed? Discuss why or why not.
Answer:
Estimated Simple linear regression is represented as Y= A + B X where
Y is the predicted (dependent) variable, in this case cholesterol level;
X is the predictor (independent variable), in this case time required to walk a stretch of 100 yards;
B is the slope, in this case 0.07, and
A is the intercept, which ...
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