Listed below are systolic blood pressure measurements (in mm Hg) obtained from t

Question

Listed below are systolic blood pressure measurements (in mm Hg) obtained from the same woman. Find the regression equation, letting the right arm blood pressure be the predictor (x) variable. Find the best predicted systolic blood pressure in the left arm given that the systolic blood pressure in the right arm is 80 mm Hg. Use a significance level of 0.05. 101 174 100 92 Right Arm Left Arm 167 180 144 143 Click the icon to view the critical values of the Pearson correlation coefficient r The regression equation is yx. (Round to one decimal place as needed.) Given that the systolic blood pressure in the right arm is 80 mm Hg, the best predicted systolic blood pressure in the left arm is mm Hg (Round to one decimal place as needed.)

Explanation / Answer

using minitab

stat> regression>regression>fit regression model>response(left arm) ,predictors(right arm)

Regression Analysis: left arm versus right arm

Analysis of Variance

Source DF Adj SS Adj MS F-Value P-Value
Regression 1 874.6 874.6 8.67 0.060
right arm 1 874.6 874.6 8.67 0.060
Error 3 302.6 100.9
Total 4 1177.2

Model Summary

S R-sq R-sq(adj) R-sq(pred)
10.0429 74.30% 65.73% 49.71%

Coefficients

Term Coef SE Coef T-Value P-Value VIF
Constant 52.7 37.3 1.41 0.252
right arm 1.221 0.415 2.94 0.060 1.00

Regression Equation

left arm = 52.7 + 1.221 right arm

answers

Regression Equation

y= 52.7 + 1.2 X

if x=80 mm hg, y= 52.7 + 1.2(80)

=148.7 mm hg

if we taken y= 52.7 + 1.221(80)

=150.4 mm hg

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