40. The systolic bl ood pressure of individuals is thought to be related to both

Question

40. The systolic bl ood pressure of individuals is thought to be related to both age and weight. Let the ely. Suppose that Minitab was used to generate the following descriptive statistics systolic blood press ure, age, and weight be represented by the variables , x2 , and y correlations, and regression analysis for a random sample of 15 individuals. Descriptive Statistics variable-LN-LMeanl-Median | TrMean | StDev | SE Mean 15 151.87 152.17 151.87 3.099 0.800158 15 50.97 51.77 50.97 1.642 0.423963 1 172.71171.81 172.71 4.608 1.189780 Variable Minimum Maximum 120 45 125 Q1 174 141.752 167.632 47.724 78.656 231 139.495 222.381 86 Correlations (Pearson) 0.833 0.844 0.635 Regression Analysis The regression equation is x, = 0.888 + 0.853 x2 + 0.694 x Predictor Constant oe 0.888 0.853 0.694 StDev 0.416 0.566 0.354 2.13 0,027 1.51 0.079 1.96 0.037 s-= 0.258 R-sq-91.2% | R-sq(adi) = 93.4% Suppose a person's age is 53 and weight is 200. Predict his or her systolic blood pressure. A) 196.8 B) 111.2 C) 151.9 D) 218.4 E) 184.9

Explanation / Answer

x1 = systolic blood pressure

x2= age of the person

x3 = weight of the person

From the given minitab output the regression equation to predict systolic blood pressure is

x1=.888 + 0.853*x2 + 0.692 *x3

x1=.888 + 0.853* 53 + 0.692 * 200 = 184.897 = 184.9

So correct option is E)

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