We have a dataset with n= 10 pairs of observations (Li, Yi), and ;ا n n...

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We have a dataset with n= 10 pairs of observations (Li, Yi), and ;ا n n Xi = 683, Yi = 813, i=1 i=1 n n { x = 47, 405, Xiyi =

math Statistics-And-Probability

Answer 1

Answer #1

b1= SP/Sxx =	0.7421
b=(Σy-bo*Σx)/n=	30.6147

predicted value at X=60 is:0.7421*60+30.6147=

75.141

standard error of PI=s*√(1+1/n+(x₀-xbar)²/S_xx)=	5.6934
for 99 % CI value of t=	3.355	(from excel:tinv(0.01,8)
margin of error E=t*std error=	19.1013
lower confidence bound=xo-E=	56.0393
Upper confidence bound=xo+E=	94.2419

prediction interval =(56.0393 ; 94.2419)

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Answer 2

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