Question

In: Statistics and Probability

Age 58 69 43 39 63 52 47 31 74 36 Cholesterol level 189 235 193...

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

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