A drug for treating high blood pressure is suspected to have the side effect of reducing...

   

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A drug for treating high blood pressure is suspected to have the side effect of reducing the reaction time. In order to study this side effect in a clinical trial the reaction times of ten patients on different dosages of the drug have been measured, where the patients had to press a button as soon as they received a certain signal and the time between receiving the signal and pressing the button has been taken as reaction time. The drug dosages in milligrams and the reaction times in seconds are given in the table below. Patient No i Drug dosage r Reaction time y 2 3 4 9 10 3 2 10 8. 3 a) Draw a scatter plot and make a first guess on the drug dosage/reaction time association. b) Compute the sample coefficient of correlation between the drug dosage and the reaction time. What do you conclude from your result? c) Determine a regression line according to the method of least squares. How well does the line approximate the data points? Interpret the slope of the regression line. Note: 10 10 10 10 10 >ri = 50, i = 40, r = 336, = 216, riyi = 262. %3D i=1 i=1 i=1 i=1 i=1 6, A drug for treating high blood pressure is suspected to have the side effect of reducing the reaction time. In order to study this side effect in a clinical trial the reaction times of ten patients on different dosages of the drug have been measured, where the patients had to press a button as soon as they received a certain signal and the time between receiving the signal and pressing the button has been taken as reaction time. The drug dosages in milligrams and the reaction times in seconds are given in the table below. Patient No i Drug dosage r Reaction time y 2 3 4 9 10 3 2 10 8. 3 a) Draw a scatter plot and make a first guess on the drug dosage/reaction time association. b) Compute the sample coefficient of correlation between the drug dosage and the reaction time. What do you conclude from your result? c) Determine a regression line according to the method of least squares. How well does the line approximate the data points? Interpret the slope of the regression line. Note: 10 10 10 10 10 >ri = 50, i = 40, r = 336, = 216, riyi = 262. %3D i=1 i=1 i=1 i=1 i=1 6,