Using R code: A researcher collects data on the relationship between the amount of daily exercise...
Using R code:
A researcher collects data on the relationship between the amount of daily exercise a person gets and their percent of body fat. She is trying to see if exercise (X) can predict percentage of body fat (Y). The following data were recorded:
|
Individual |
1 |
2 |
3 |
4 |
5 |
|
Daily Exercise (min) (X) |
10 |
18 |
26 |
33 |
44 |
|
% Fat (Y) |
30 |
25 |
18 |
17 |
14 |
a. Draw a scatterplot that represents this data set with linear and lowess line imposed. Does the linear line fit the relationship well?
b. Run regression analysis of predicting percentage of body fat from the amount of daily exercise. Write out the predicted regression equation.
c. Interpret the regression intercept and slope in the regression equation.
d. What is the prediction power of amount of daily exercise?
e. If an individual exercises 20 minutes daily, obtain the point and interval estimates for his/her % body fat would be based on your answer to b?
f. Obtain and interpret the standardized regression slope. Do you prefer to report raw or standardized regression slope in this study? Explain why.
Homework Answers
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Using R code:
A researcher collects data on the relationship between the
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