2- P lem 13 8 points) are systolic blood pressure woman. e measurements (in mm H

Question

2- P lem 13 8 points) are systolic blood pressure woman. e measurements (in mm Hg) obta Hg) obtaired from trve Left Am (y) t1741169 102T 101 64T791-79 - Answer the following questions 144 a) Find the value of the corre r using = 0.05 ? Is there sufficient evidence to conclude ar correlation between the systolic blood pressure of the let a coefficient.(Round to the nearest thousandth. that there is a linear right hand ? be ind the best predicted systolic blood pressure in the left arm given that the systolic blood pressure in the right arm is 85 mm Hg. (Round to the nearest whole number ) Find the regression equation (Round to the nearest hundredth)

Explanation / Answer

following information has been generated using ms-excel

(b)H0:rho=0 and Ha:rho is not =0

t =r/sqrt[(1—r2)/(n—2)]=0.927/sqrt((1-0.927*0.927)/(5-2))=4.281 with n-2=5-2=3 df

critical t(0.05/2,3)=3.182 is less than calcuated t=4.281, so we reject H0 and conclude that there is significant linear relationship between x and y

(c) y=a+bx=63.058+1.078x

b=cov(x,y)/var(x)=116/(10.37*10.37)=1.078 ( var(x)=sd(x)*sd(x) )

a=mean(y)-b*mean(x)=159-1.078*89=63.058

for x=85, y=63.058+1.078*85=154.688

x y 102 174 101 169 84 162 79 146 79 144 n= 5 6 mean= 89.00 159.00 sd= 10.37 12.07 cov(x,y)= 116 (a)r=cov(x,y)/(sd(x)*sd(y))= 0.927

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