Q12: The following data are from a study of therelationship between average consumption of saturated fat (ingrams) and cholesterol level (in milligram per hundred milliliters)of eight males:
| Subject | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
|---|
| Fat consumption (x) | 55 | 65 | 50 | 34 | 43 | 58 | 72 | 36 |
| Cholesterol level (y) | 180 | 215 | 195 | 165 | 170 | 204 | 235 | 150 |
Below are some of the summaries of this data:
∑?=413, ∑?=1514, ????=1277.875, ????=5591.5 and ????=2536.75
(a) Compute the estimates of regression coefficients β0 and β1and write the fitted regression line.
(b) Does the amount of fat consumption determine the cholesterollevel? Carry out a hypothesis test to support your answer at 2%significance level.
(c) Construct a 98% confidence interval for β1.
(d) Calculate the variability in the cholesterol level notexplained by the amount of fat consumption and interpret it.
