13.22 Blood Pressure Again! Refer to Exer- cise 12.29. The systolic blood pressure (SBP) for randomly selected 40 males and females are shown below, along with several other independent variables.

The variables are defined as y = systolic blood pressure x = body mass index x2 = age X2 x3 = 1 if gender is male, 0 otherwise x4 = 1 if the person is married, 0 otherwise = xs 1 if the person smokes, 0 otherwise The MINITAB printout for a first-order regression model is given below.

a. What is the model that has been fit to this data? What is the least-squares prediction equation?

b. How well does the model fit? Use any relevant statistics from the printout to answer this question.

c. Which, if any, of the independent variables are useful in predicting the SBP, given the other independent variables already in the model? Explain.

d. Use the values of R2 and R(adj) in the printout to choose the best model for prediction. Would you be confident in using the chosen model for predict- ing the SBP score for next year based on a model containing similar variables? Explain.

Transcribed Image Text:

Systolic Blood Pressure y Body Mass Age Gender Married Smoke Index x X2 X3 Xa X5 185 32.6843 54 F (female) N (No) Y (Yes) 174 18.00509 54 F Y Y 147 15.09444 34 M (male) Y N 174 12.03111 59 130 20.5696 24 160 37.0388 42 FMF Y Y Y Y 123 18.61939 24 M Y 136 21.10426 30 182 22.72159 57 111 26.42051 60 FMM Y N Y N 105 20.62475 43 F N 224 36.56926 23 M N Y 221 35.26174 58 M N 135 18.00972 63 F Y 122 16.17305 61 M N 113 24.19442 18 144 25.84728 43 135 34.27116 40 158 32.18126 42 153 40.88436 25 FFFFM N N ZZ N N N YNYN