Weight, age, and blood pressure. The table below shows the weight (in pounds), a

Question

Weight, age, and blood pressure. The table below shows the weight (in pounds), age (in years), and blood pressure of 13 randomly selected males with approximately the same height. Weight(lbs.)x1.Age (years)x2. Blood Preesure y.

x1;152,183,171,164,158,161,149,158,170,153,164,190,185

x2: 50,20,20,30,30,50,60,50,40,55,39,40,20,

y:120,141,124,126,117,129,123,125,132,123,131,155,147

(a) Use technology to find the multiple regression equation for the data shown in the table.

(b) Find the standard error of estimate and interpret the result.

(c) Find the coefficient of determination and interpret the result
.

Explanation / Answer

a)

y=-63.02+1.0676x1+0.4135x2

b)

2.482.

c)

r^2 is 0.9584 which means 95.84% of the variation in dependent variable is accounted for by the independent variables.

SUMMARY OUTPUT Regression Statistics Multiple R 0.979027557 R Square 0.958494958 Adjusted R Square 0.95019395 Standard Error 2.482060693 Observations 13 ANOVA df SS MS F Significance F Regression 2 1422.701439 711.3507197 115.4672922 1.2317E-07 Residual 10 61.60625284 6.160625284 Total 12 1484.307692 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept -63.0234929 14.65013291 -4.30190588 0.001556766 -95.66602322 -30.38096258 x1 1.067609249 0.075657558 14.11107203 6.27967E-08 0.899033705 1.236184793 x2 0.413501285 0.071884302 5.752316929 0.000184582 0.25333308 0.57366949

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