* c i Secure https/ flushed fabbe8ld 45451268back MATH 1342 TO 001 FALL 2017 AUG
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* c i Secure https/ flushed fabbe8ld 45451268back MATH 1342 TO 001 FALL 2017 AUG 28, 2017- DEC 15, 2017 omework: Chapter 9 Review core: 0 of 1p 3.27-T nrpret a 90% prediction 418 of 19 (17 complete) below shows the anounts of cude oll (in thousands of barels per day) produced by a amount of crud ol mported by the ths county wthen the amount of cude oll prodaced by the country is 5.576 thousand barels per day The equaision et 602 544) 5 166 5077 5013 835600 9,150 180 10 163 316 10.01 10.068 onstruct and interpret a 9e% prediction i Round to the nearest cent as needed) nterval for the amount of crude oil mported when the amount of crude ail produced by the country is 5576 thousand barrels per day Select the correct che complete yout choice amount of od mported is between-and -basand barbekwhen tee are 55% honnd ban-prod red DB. VWe can be 98% condident that uhen the amount o oll produced is 5.56 thousand barneh. the amount of ol limponted will be ex to seed and erter your parts showing werts, anden cick Check Ansam Check AnsweExplanation / Answer
> rm(list=ls(all=TRUE))
> x=c(5.838,5.600,5.602,5.443,5.166,5.077,5.013);x
[1] 5.838 5.600 5.602 5.443 5.166 5.077 5.013
> y=c(9.316,9.150,9.625,10.017,10.180,10.163,10.058);y
[1] 9.316 9.150 9.625 10.017 10.180 10.163 10.058
> ycap=-1.167*x+16.094190;ycap (Given)
[1] 9.281244 9.558990 9.556656 9.742209 10.065468 10.169331 10.244019
> ######thye predicted value at x=5.576
> x0=5.576;x0 (Given)
[1] 5.576
> y1cap=-1.167*x0+16.094190;y1cap
[1] 9.586998
> #####prediction interval ycap1(+/_)t(alpha,n-2)*standard error of the
> #####prediction
> n=length(y);n
[1] 7
> xbar=mean(x);xbar
[1] 5.391286
> sxx=sum((x-xbar)^2);sxx
[1] 0.5828194
> ssres=sum((y-ycap)^2);ssres
[1] 0.2964225
> Msres=ssres/(n-2);Msres
[1] 0.0592845
> se=sqrt(Msres*(1+(1/n)+((x0-xbar)^2/sxx)));se
[1] 0.2668789
> ttab=round(qt(0.99,n-2),3);ttab
[1] 3.365
> piul=y1cap+ttab*se;piul #### prediction upper limit
[1] 10.48505
> pill=y1cap-ttab*se;pill #### prediction lower limit
[1] 8.68895
A)).There is a 98% chance that the predicted amount of oil imported is
between 8.689 thousand barrels and 10.48505 thousand barrels when there are 5.576 thousand barrels produced.
B))) We can be 98% confident that when the amount of oil produced is 5.576 thousand barrels, the amount of oil imported will be between 8.689 thousand barrels and 10.48505 thousand barrels.
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