Chapter 3, Section 3.2, Question E22 Body mass and blood pressure. According to

Question

Chapter 3, Section 3.2, Question E22 Body mass and blood pressure. According to a large national health study, the percentage of adults with hypertension (high blood pressure) increases with body mass index (BMI) Hypertension is defined as mean systolic blood pressure of at least 140 and mean diastolic blood pressure of at least 90. The BMI is given by the formula BMI =-weight (kg) theight (m)]2 The percentages of males and females with hypertension for various BMIs are given in table below BMI 24 26 28 32 Percentage of Males with Hypertension 14.9 22.1 27.0 41.9 Percentage of Females with Hypertension 15.2 27.7 32.7 37.8 Percentages of males and females with hypertension by BMI. Source: NHANES III.] b. Use your technology to find the equation of the least squares regression line for males. Round to two decimal places. Percent of Males with Hypertension: x BMI-

Explanation / Answer

The statistical software output for this problem is:

Simple linear regression results:
Dependent Variable: Males
Independent Variable: BMI
Males = -65.257143 + 3.3357143 BMI
Sample size: 4
R (correlation coefficient) = 0.99759137
R-sq = 0.99518854
Estimate of error standard deviation: 0.97027242

Parameter estimates:

Analysis of variance table for regression model:

Hence,

Percentage of Males with Hypertension = 3.34 x BMI - 65.26

Parameter Estimate Std. Err. Alternative DF T-Stat P-value Intercept -65.257143 4.5361811 0 2 -14.385921 0.0048 Slope 3.3357143 0.16400597 0 2 20.33898 0.0024

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