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(a) A linear regression was conducted to predict the value of systolic blood pressure with medication, using a measurement of systolic blood pressure without medication.

(a) A linear regression was conducted to predict the value of systolic blood pressure with medication, using a measurement of systolic blood pressure without medication. Briefly summarise the R-squared value, and the evidence that the slope coefficient is non-zero, in words.

(b) If a patient has systolic blood pressure of 90 without taking the medication, what is the prediction of their systolic blood pressure if they take the medication?

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Im (formula = BPR. with. medication ~ BPR. without . medication, data = BPR) Residuals : Min 1Q Median 3Q Max -11 . 684 -5.364 -1.572 6.372 17.249 Coefficients : Estimate Std. Error t value Pr(>|t|) (Intercept) 24 . 03645 8. 68149 2. 769 0. 00827 ** BPR. without . medication 0. 65094 0. 09345 6. 966 1. 44e-08 *** Signif. codes: 0 '***' 0.001 '**' 0.01 '* ' 0.05 ' . ' 0.1 1 1 1 Residual standard error: 6.986 on 43 degrees of freedom Multiple R-squared: 0.5302, Adjusted R-squared: 0.5192 F-statistic: 48.52 on 1 and 43 DF, p-value: 1. 442e-08

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