Listed below are systolic blood pressure measurements in mm

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.

Solution

Result

Pearson correlation coefficient is 0.8593814 with 0.062 p-value. Hence, the right and left arm are correlated in 0.10 level of significance. But, it is not correlated in 0.05 level of significance.

Regression

Coefficients:

Estimate Std. Error t value Pr(>|t|)
(Intercept) 63.9158 32.4443 1.970 0.1434
x 1.0526 0.3616 2.911 0.0619 .
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Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Residual standard error: 9.191 on 3 degrees of freedom
Multiple R-squared: 0.7385, Adjusted R-squared: 0.6514
F-statistic: 8.474 on 1 and 3 DF, p-value: 0.06195

Regression equation

y^=63.9158+1.0526x

Interpretation: Increasing a unit of blood pressure in rigt arm incresases 1.0526 mmHg blood pressure in the left arm at 0.10 level of significance. Your data is insignificant at 0.05 level of significance.

The blood pressure in left arm is 148.1238 mmHg when the blood pressure in right arm is 80 mmHg.