Problem 1

Systolic Blood pressure and age of 30 men.


Age: 39   47   45   47   65  46  67   42   67   56   64   56   59  34   42  48   45   17  20   19  36   50   39   21   44   53   63  29   25   69

BP: 144 220 138 145 162 142 170 124 158 154 162 150 140 110 128 130 135 114 116 124 136 142 120 120 160 158 144 130 125 175 


(1) Fit a linear model using the age to predict the average systolic blood pressure for men. (use R software) 

(2) Give the estimated intercept and slope and write down the estimated model.

(3) Predict the average systolic blood pressure for a men age 43, using the model you got above.

(4) Give a 90% confidence interval for the average BP of men aged 43.

(5) Give a 90% prediction interval for a randomly chosen men in the future with age 43.


Problem 2.

Data: 
 2.876  7.883  4.090  8.830  9.405  0.456  5.281  8.924  5.514  4.566  9.568  4.533  6.776  5.726 
 1.029  8.998  2.461  0.421  3.279  9.545  8.895  6.928  6.405  9.943  6.557