# This problem is to be solved by hand. The weight and systolic blood pressure of 12…

This problem is to be solved by hand.
The weight and systolic blood pressure of 12 randomly selected
males in the age group 25-30 are shown in the table below.
Subject 1 2 3 4 5 6 7 8 9 10 11 12
Weight (lbs), x 165 167 180 165 212 175 190 212 200 149 158
169
Systolic BP, y 130 133 150 128 151 146 150 140 148 125 133
135
(a) Plot the points on a scatter diagram. Does there appear to
be a linear trend? Estimate the leastsquares regression line.
(b) Estimate the average systolic BP for a male that weighs
195.
(c) Construct a 95% confidence interval for b1. Interpret the
interval.
(d) Construct a 95% confidence interval and a 95% prediction
interval for the average systolic BP if x = 195 lbs. Explain the
difference between these two intervals.
(e) Test for significance of regression coefficient using the
two-sided t-test and a = 0.05.
(f) Construct an analysis of variance table and use it to
perform the hypothesis test of part (e). Restate the null and
alternative hypotheses and interpret your results.
(g) Perform a residual analysis on the data.
(h) Summarize your analysis of parts (a)-(g) in paragraph form
to determine the appropriateness of the model.