Category:
Mathematics

The weight and systolic blood pressure of 15 randomly selected males in the age group 25-30

are shown in the table below. Assume that weight and blood pressure are normally distributed.

Subject 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

Weight (lbs)165 167 200 201 189 177 192 190 168 159 148 199 200 173 188

Systolic BP 130 133 148 157 149 145 150 152 140 128 125 160 152 153 155

It is believed that weight has an effect on blood pressure.

a) Find a fitted regression line relating systolic blood pressure to weight.

b) Estimate the correlation coefficient. Interpret this value.

c) Calculate the coefficient of determination. Interpret this value.

d) Calculated the predicted blood pressure for a weight of 150 lbs.

e) Calculate the residual for a weight of 150 lbs.