In: Statistics and Probability
Age | 58 | 69 | 43 | 39 | 63 | 52 | 47 | 31 | 74 | 36 |
Cholesterol level | 189 | 235 | 193 | 177 | 154 | 191 | 213 | 165 | 198 | 181 |
(3) (Continued from Question 2) Based on the sample of 10 men with ages and cholesterol levels given in the table in Question 2, answer the following.
(a) At 5% significance level, do the data provide sufficient evidence to conclude that age is useful as a (linear) predictor of cholesterol level? State any assumption(s) you make.
(b) What is the mean estimated cholesterol level for all 74 year old men?
(c) Find a 90% confidence interval for mean cholesterol level for all 74 year old men.
(d) Find a 90% prediction interval for mean cholesterol level for all 74 year old men.
(e) If we wish to add one dummy predictor variable to make a multiple regression model, what would it be?
please show me the math for this