12.29 Systolic Blood Pressure (SBP) and Body Mass Index (BMI) In the case study of Chapter 1 we provided the blood pressure data on 500 persons (both male and females). Here we take a random sample of 40 persons. In the first column the blood pressure (y) and in the second column body mass index (x) were recorded for each randomly selected person. The data and MINITAB printout are shown in the following table.

a. Construct a scatter plot of the data. Does the assumption of linearity appear to be reasonable?

b. What is the equation of regression line used for predicting SBP as the function of BMI?

c. Do the data present sufficient evidence to indicate that SBP measurement is linearly related to the BMI? Use a = 0.01.

d. Find a 99% confidence interval for the slope of the regression line.

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Systolic Blood Body Mass Pressure Index Systolic Blood Pressure Body Mass Index 185 32.68430 194 41.04970 174 18.00509 186 49.77252 147 15.09444 191 25.18267 174 12.03111 121 23.66558 130 20.56960 130 22.56072 160 37.03880 152 23.72454 123 18.61939 127 16.24771 136 21.10426 136 32.11230 182 22.72159 148 32.64552 111 26.42051 130 27.64572 105 20.62475 100 28.20940 224 36.56926 124 12.09412 221 35.26174 147 31.57406 135 18.00972 146 18.34757 122 16.17305 132 26.97432 113 24.19442 176 25.01860 144 25.84728 163 20.07109 135 34.27116 149 23.58075 158 32.18126 130 22.17864 153 40.88436 130 20.92983