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1、Chapter102()lO.l.t-l/2lo..-It_..-1/2_(011~i2t22~ltii-a(.:S)2Jwhichhaseigenvalues~2=(,95)2andp;2=o.Thenormlizedeigenvector.are~1·(:1and':·(~l.Thus(1)'u=elt1/2x(1)=(0IJ(.1O)(X1J=x(1)i.111-a1x(l)22Since!it2~/2=(1OJ,VI=xf2).ThusUi=x~l),VI=xfl)andPi=.95.**iO.Za)Pi=.55
2、,P2=.49b)Ui=.32XP)-.36X~1)Vi=.36Xfl)-.iox~2)U2=.20XP)+.30X~1)V2=.23XF)+.30X~1).28919)-1-1Q-1D0-10(.4S189iO.Sa)t11t12t22t21=~11~~22~1=.14633.17361.45189-)..28919=).2_.5461)..0005.14633.17361-).=(À-.5457)P.-.OO09)Thecharacteristicequationisthesameasthatofii/2122~21
3、ii/2(seeExample10.1)andconsequentlytheeigenvaluesarethesame.b)U2=-.671ZP)+l.OSSzll)(2)(2)Vz=-.863Zi+.106ZZVar(U2)=(_0.677)2+(1.OSS)2_2(.677i(I.05S)(.4)=1.0Var(V2)=1.0Corr(UZ'V2)=(-.677)(-.863)(.5)+(-.863)(1.u5S)(.3)+(.706)(-.677)(.6)+(.70ti)(I.0S5)(.4)=..03=p~*lp
4、0(p(126610.7a)Pi=,!,p1Ui=(X(1)+X(I))12f2(l+p)1VI=(X(2)+X(2))i2r2(1+p)A*10.8c)Pi=.72VI=.20xi2)+.70x~2)A'ie=45-=4radiansA*d)PI=.57.AUi=1.03cos61+.46Sina1VI=.49cose2+.78Sina2A*10.9a)Pl=.39P2=.07Û1=i.~6zll)-1.03Zl1);U2=.30zl1)+.79Zl1iVI=1.10zl2)-.45Z~2)V2=-.02zl2)+1.
5、0IZl2),b)n=140,p=2,q=2,n-l-¥p+q+1l=136.5Upper51Valueof-DegreesofpointoffteststatisticFreedomdistributionNullhypothesis-136.5R.(.8444i(.9953)49.48Ho:t12=E'12=a=23.74H~l):pi*0,pî=O-136.5R.(.9953)13.84=.65Therefore,rejectHobutdonotrejectH~l).Readingability(summar-AA
6、izedbyUi)doescorrelatewitharithmeticability(summrize~byVi)butthecorrelation(representedbyPI=.39)isnotparti~ularlystrong.A*A*267JO.10a)Pi=.33,P2=.17b)Û1=i.002Z~l)-.003Z~i)Vi=-.602Z12)-.977Z~2)U.Zi(i)--1973.h'1d(1nonprimaryomicesstandardized)Vi:izl2)+Z~2)=a"pun;shm
7、entindex"Punishmentappearstobecorrelatedwithnonprimaryhomicidesbutnotprimaryhomicides.10.11UsingthecorrelationmatrixRandstandardizedvariables,thecanonicalcorrelationsandcanonicalvariablesfollow.TheZ(l).sarethebanks,theZ2).Saretheoilcompanies.p;=.348,p;=.130Ûi=-.5
8、39z:I)+i.209z~l)+.079z~1)Û2=i.142z:1)-.410z~1)+.142z~1)Vi=1.160z:2)-.26lz~2)V2=-.728z:2)+1.345z~2)Additionalcorrelations:RZCI)=(.266.913.498),R"Z(2)=(.982.532)
