计量经济学课后习题答案郭存芝

计量经济学课后习题答案郭存芝

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19ḄὶᔠÛÜᔲ÷℉ᡠçḄõöõöÙi!"Ḅ{ឋᐵ°ᙠþÿᔲ℉ᡂ஺5.ᐗឋY=^X+j3X+--+ZXQ+Miu22i(1)ᦪḄᨬ!"#$%&஺(2)()ᦪḄᨬ!"#$%&ᔲ*ᯠ,-ឋឋஹ/0ឋஹᨵᦔឋ3(3)()ᔲ*ᯠᨵ%=஺[\70]=1,2,..ᵨ£6=0/=1i=li=\9:(1)^=(XX)-1XY(2)*ᯠ,-ឋឋஹ/0ឋஹᨵᦔឋ(3)*ᯠᨵ?4=0fB"=0(D1,2,-»)fe£=0/=!i=\i=\6.IJ)ᙠa℉ឋMNO)PᵨுST)UḄVWXY1-aḄVWZ[\ᒹ^0஺~29:ᙠa℉ឋMNO,P|4l>Q/T,ᓽ/2A0B`t%xSK>0ᡈ6+t%xS/<0lᙠ1-aḄVWXO)ḄVWZ[m(27%xS/,2+f%XS/)P2—)%xS/>0T)pḄVWZ[ḄO▲ᜧ0sP£+%xs&

20(2)ᙠ5%Ḅ℉ឋMN)§¨©&℉ឋª«஺(3)ᙠ5%Ḅ℉ឋMN)§¨¬®℉ឋª«஺9:(1)|}ᨴNᙳᦈᐭ¯°)|}~±²³´µ)¶\³ᨵᦈᐭ´µḄ·¸¹)ᡠ»|}ᨴNᙳᦈᐭḄᦪ²ᜧ0,!1;ᡝᦟᦪ¯)·¸ᦻᓄ¿Ḅ◤Á³¯)|}~±²³´µ)ᡠ»ᐸᦪᜧ0஺¡¢Ã)ᦪÄÅᔠᳮḄ஺(2)ᙠ5%Ḅ℉ឋMN)Æ⊤/%(”I)=r(32)=2.0369330025ᯠ)È$%ᦪ%ÉḄ/ÊᜧËÌÊ)ÍÎÏÐᔜÒYÓḄÔᎷÖ)È©&℉஺(3)ᙠ5%Ḅ℉ឋMN)ÒᵫXY(2,32)ḄDᑖÙḄËÌÊY3.294537,%ÉḄFÊᜧ(ËÌÊ)ᡠ»ÍÎÔᎷÖ)¬®℉஺8.(Ý¡mÞ⚪ᦪᨵà,◤áᦋ,N¬ãஹN¬ãäᣚBæV)ç"ᐗឋḄèé᝞⊤3-5ᡠë஺⊤3-5ᑖ᪆èé¬íᩭïN¬ãÒᵫXᩭÒ17058ᩭÒðíᩭÒñí2678332(1)᪵Þò&?ðíN¬ᑭRSS,N¬ãESSḄÒᵫX)ðíN¬ãRS5ḄÒᵫX஺(2)ö÷ᦪR2ãä᦮Ḅö÷ᦪᨴ2஺(3)᪷»Wú)ᙠû÷℉ឋMNO)üᔲª«È9ý©&þ9ý©&Ḅὶᔠᔲ℉(4)᪷ᙠ℉ឋᔲ!"#$ᔜ&'(!"#$Ḅᔲ℉!*(1),-./0Ḅ&ᵫ2஻-1,ᡠ᪵89$33஺RSS=TSS-ESS=26783-17058=9725<=>/0Ḅ&ᵫ2!"#$ᦪᡠ2஺A./0Ḅ&ᵫ2஻-hl=30஺FᵫESS17058(2)R=----=------=0.637RSS26783KL…(3)<ὶᔠḄFPQ$:F_ESS/k~RSS/(n-k-1)᪷ᙠ℉ឋ!"#$'(!"#$Ḅὶᔠᔲ℉஺

21S4TUV஺ᵫWXYQZ[ᦪḄt]஺9.S_`a8⚪ḄCESfghᦪᨵjᐸlḄlnSWyᦋSqnWT2Trᙢ1981-2005vwᑁfg1—jL,]Kfgz{Kஹ}~ᦪḄPQᦪ᝞⊤3-6ᡠ஺⊤3-6ᙢ1981—2005Ḅᑁᐵᦪ"'('(GDPGDPII'JIHJv%&)ᦪv%&)ᦪ#ᐗ"#ᐗ+,#ᐗ*)#ᐗ*)1981123.61486.7386.41994406.2141500.8456.31982125.82512.5391.21995421.3151523.7461.11983128.53521.8396.11996563.5161657.8465.41984132.34532.9401.91997710.6172378.5470.21985138.35550.3406.31998867.9182903.7473.91986140.76581.9410.81999910.3193106.7479.41987147.27589.3414.920001025.4203218.5483.51988155.48601.8419.520011287.6213827.6489.11989167.09631.9421.020021328.1224057.1483.11990180.110655.1425.620031409.1234355.2490.21991213.711667.3429.720041582.3244633.6498.41992309.9121083.3435.620051790.5254897.4510.11993385.8131358.9451.220061925.7265721.3516.2S1TQC—DfghᦪY=AH\+ryUKpesaS2TQឋᓄḄCESfghᦪ1KIny=InA+flnSl+ᔆT+m3lnL+஻?S1bTInK—P஻S1bTSln—T2+£Zᔜ[ᦪḄQ]஺ᐸlᔜ[ᦪḄa4——ᢈ¡r——ᢈ¢£᳛¡/—#$¡«——§¨Ḅ©ª«¡0——z8Ḅ©ª«¡m——¬ᦔ¯[ᦪ¡3——ᑖ±²ᦪ³᧜§¨⌕¶Ḅ·¸¹20<6<1¡p——»¼[ᦪp>\»!*S1TC—Dfghᦪ½¾'ᦪ¿aInÀ=In4+ln(l+r)-t+a

22L+

23K+sQÁL:

24Coefficients:EstimateStd.ErrortvaluePr(>|t|)(Intercept)5.097257.090890.7190.4798T0.032170.013832.3250.0297*Inভ-1.056351.20352-0.8780.3896ln(/Q0.954630.0579416.4757.34e-14***Signif.codes:0'***'0.001'**'0.01'*'0.05'.'0.1''1Residualstandarderror:0.05453on22degreesoffreedomMultipleR-squared:0.9974,AdjustedR-squared:0.997F-statistic:2774on3and22DF,p-value:<2.2e-16W¾'ᦪḄC—DfghᦪḄ᪵8=>/¹aInᡝ=5.09725+0.03217.1.05635lnL+0.95463-InKÄ¢£Å¿ÆÇlḄ[ᦪ&=e5.09725=]63.5714667r=e003217-1=0.032693048ÆÇḄQÁLY=163,57(1+0.033)'£-105635Ar095463e£(2)QឋᓄḄCESfghᦪEViewsQÁLaDependentVariable:LOG(Y)Method:LeastSquaresDate:10/23/08Time:23:26Sample:19812006Includedobservations:26VariableCoefficientStd.Errort-StatisticProb.C5.6348219.2439490.6095690.5487T0.0330070.0167291.9730470.0618LOG(L)-1.1576631.637611-0.7069220.4874LOG(K)0.9651370.1267107.6168830.0000LOG(K/L)*LOG(K/L)-0.0035080.037374-0.0938670.9261R-squared0.997364Meandependentvar6.006157AdjustedR-squared0.996862S.D.dependentvar0.996194S.E.ofregression0.055802Akaikeinfocriterion-2.762956Sumsquaredresid0.065392Schwarzcriterion-2.521014Loglikelihood40.91843F-statistic1986.622Durbin-Watsonstat1.860419Prob(F-statistic)0.000000È

25logA=5.6348log஺+T=0.033”6=—1.1577omSl-JT=0.9651¡᜛Ï5S1—5T=0.0035Ä4=431121.816r=0.079Ð=0.1926S=6.011/?=—0.0012S_aÑᙠÒÓᐳឋÕ⚪ᡠ[ᦪQÁLḄÖ×`UᔠᳮT10.rᖪÚḄ◤ÅhᦪInᓃ=92.3+0.46InX.-0.18InXh2iS0.126TS0.032TS3.651TS-5.625TÞ=0.983ᨴ=0.976F=581ᐸlÀ◤Å$XiáâὅᦈᐭX2æᖪÚçè஺S1T!"[ᦪḄÖ×`஺S2Téçèê10%ìíî◤Å᝞ï#ᓄS3Tᙠçèê10%ðñᦈᐭòÏÒóôVõᢝ◤ÅU#஺S4T!"ÇlᔜPQ$Ḅ஺!*S1Tᵫ᪵8/¹Ḅ÷øùXḄ[ᦪÄᖪÚḄᦈᐭúឋ⊤X2Ḅ[ᦪÄᖪÚḄçèúឋ஺S2TᵫúឋḄù᝞LᐸûᩩýU#çèê10%,þ'ÄᖪÚḄ◤Å$ìÿ1.8%஺3᪷ᐵᙠ10%ᢝ◤ᦈᐭ◤⌕$%0.46X0.018=0.00828,ᓽ0.828%஺4./0123Ḅᦪ0.126ஹ0.03278ᦪ9:;Ḅ᪵=᪗?@.A0123Ḅᦪ3.651ஹ-5.6257;D℉ឋGHḄtJtJKᜧMNᦈᐭOP◤ḄQRD℉.R\R2ஹTᑖV7WXᦪஹY᦮ḄWXᦪஹ[\D℉ឋGHḄFJ^_`a:;ḄbJKᜧMNcdḄefgᔠᦔjKk஺11.⊤3-5mn1960—1982q7`OECDwxḄyz◤ᢣᦪK}▭GDPᢣᦪX1ஹyzᢣᦪX2ᡠᨵᢣᦪᙳ1973q?1973q100஺⊤3-71960-1982q7`OECDwxḄyz◤ᢣᦪᐵᦪyz◤}▭GDPyzyz◤}▭GDPyzqqᢣᦪᢣᦪᢣᦪᢣᦪᢣᦪᢣᦪ196054.154.1111.9197297.294.398.6196155.456.4112.41973100.0100.0100.0196258.559.4111.1197497.3101.4120.1196361.762.1110.2197593.5100.5131.0196463.665.9109.0187699.1105.3129.6196566.869.5108.31877100.9109.9137.7

26196670.373.2105.31978103.9114.4133.7196773.575.7105.41979106.9118.3144.5196878.379.9104.31980101.2119.6179.0196983.383.8101.7198198.1121.1189.4197088.986.297.7198295.6120.6190.9197191.889.8100.3ᧇᩭzOrganizationforEconomicCo-operationandDevelopment(1)yz◤ḄPᦪᦪcdIn=&+InX„.+J3InX.+//,.,ᔜᦪḄ22(ᵨPJGHᔜ;7ᔲD℉ஹ[\7ᔲD℉஺(2)yz◤Ḅឋᦪcd=£஺+¡“+/72¡2,+4ᔜᦪḄᵨPJGHᔜ;7ᔲD℉ஹ[\7ᔲD℉஺(3)KᡠḄ¥`cd᝞j¥`cdḄ§¨©ª⌱¬`cd®¯°®᪷©⌱XḄcd9:}▭GDPᢣᦪ98.6ஹyzᢣᦪ121.5±yz◤ᢣᦪḄᦪJ᪀⌼´9:JḄ95%Ḅµ¶·¸஺¹(1)᪷⚪yz◤ḄPᦪᦪcd§j᝞Coefficients:EstimateStd.ErrortvaluePr(>|t|)(Intercept)1.549500.0901117.201.89e-13***log(Xl)0.996920.0191152.17<2e-16***log(X2)-0.331360.02431-13.631.39e-ll***Signif.codes:0'***'0.001'**'0.01'*'0.05'.'0.1'TResidualstandarderror:0.01801on20degreesoffreedomMultipleR-squared:0.9941,AdjustedR-squared:0.9935F-statistic:1694on2and20DF,p-value:<2.2e-16᪷☢Ḅ§jᵫ½(3,20)ḄTa:;ḄPJ¾¿2.2e-16,ÀÁᙠmXD℉ឋÂÃ5%,Ä᦮fÅ᪵=[\efḄឋᐵ7D℉Ḅ஺ᳮln(X1)Oln(X2)¥⚗8ᦪ9:;ḄPJ¾¿0.05,ᡠᙠmXD℉ឋÂÃ5%,ᙳÈÉ;D℉ឋGH஺¿7᪵=[\Inf=1.55+0.997•ln(XJ-0.331.ln(X)2᪷§j8ᦪA=0.997,MNᙠᐸË;ḄᩩÍ}▭GDPᢣᦪÎᓣ1%,ÐÑÒyz◤ᢣᦪᓣ0.997%,Óᳮ¨cdÔÕÖḄ}▭GDPᢣᦪÓyz◤ᢣᦪ׸ØᙠÙᐵᐵ/ÚÛ8ᦪÜ=-0.331,MNᙠᐸË;ḄᩩÍyzᢣᦪÎÝ1%,ÐÑÒyz◤ᢣᦪᓣ0.331%,Óᳮ¨cdÔÕÖḄyzᢣᦪÓyz◤ᢣᦪ׸ØᙠÞᐵᐵ/Úßà|â|<1,^ᳮ¨cdyzäå/æ7çèéឋḄ/Ú஺(2)᪷⚪yz◤Ḅឋᦪcd§j᝞:

27Coefficients:EstimateStd.ErrortvaluePr(>|t|)(Intercept)28.255061.4214919.881.21e-14***XI0.980850.0194550.42<2e-16***X2-0.258430.01528-16.912.59e-13***Signif.codes:0'***'0.001'**'0.010.050.1''1Residualstandarderror:1.435on20degreesoffreedomMultipleR-squared:0.9939,AdjustedR-squared:0.9933F-statistic:1627on2and20DF,p-value:<2,2e-16᪷☢Ḅ§jᵫ½3,20ḄTa:;ḄPJ¾¿2.2e-16,ÀÁᙠmXD℉ឋÂÃ5%,Ä᦮fÅ᪵=[\efḄឋᐵ7D℉Ḅ஺ᳮlnXDOlnX2¥⚗8ᦪḄPJ¾¿0.05,ᡠᙠmXD℉ឋÂÃ5%,ᙳÈÉ;D℉ឋGH஺¿7᪵=[\Y=28.256+0.98IX,-0.259-X2᪷§j8ᦪ£=0.981,MNᙠᐸË;ḄᩩÍ}▭GDPᢣᦪÎ$%1,ÐÑÒyz◤ᢣᦪᓣ0.981,Óᳮ¨cdÔÕÖḄ}▭GDPᢣᦪÓyz◤ᢣᦪ׸ØᙠÙᐵᐵ/ÚÛ8ᦪ&=-0.259,MNᙠᐸË;ḄᩩÍyzᢣᦪÎÝ1,ÐÑÒyz◤ᢣᦪᓣ0.259,Óᳮ¨cdÔÕÖḄyzᢣᦪÓyz◤ᢣᦪ׸ØᙠÞᐵᐵ/Ú஺3KᡠḄ¥`cd¥`cdᙳÈÉ[\O;D℉ឋGHë7./`cdḄìWᦪ0.9941,Y᦮ḄìWᦪ0.9935,.A`cdíîÛßàPᦪcdḄᦪᨵḼᱯñḄòóôõ⊤éឋᦪᡠ᝞j¥`cdḄ§¨ª⌱¬.`cd஺᪷ᡠ⌱XḄcdö9:}▭GDPᢣᦪ98.6ஹyzᢣᦪ121.5±õᐭᑮ[\Ôøyz◤ᢣᦪḄ⚜úJḄ9:Jᓃ=93.31,ü/ýìþøᐸ95%Ḅµ¶·¸89.77,96.9912.ÿᓃ=4+4X“+᜛2X2,+᜛3X3,+Ẇᡃ“ᦈᦈᐭ”“ᑁXJ'ஹ"X2”ஹ“ᖪ!"#$ᢣᦪX3”Ḅ()*+,-./␺12ᑮḄ᪵5ᦪ*᝞⊤3-5ᡠ9஺⊤3-8ᡃᦈᦈᐭ;<ᐵᦪ*ᦈᦈᐭᑁᖪ!"#$ᢣᦪ/>?@ᐗB?@ᐗB?@ᐗB?%B197851936451122100.7197953840631282102.0198057245461299106.0

28198163048921138102.4198270053231230101.9198377659631410101.5198494772081701102.81985204190162004108.819862091102752205106.019872140120592262107319882390150432491118.519892727169922824117.819902822186683084102.119912990217823387102.919923297269243742105.419934255353344642113.219945127481985793121.719956038607946824114.819966910711777938106.119978234789739234100.819989263844021079897.4199910683886771318897.0200012582992151588798.5200115301109551890399.22002176361203332205398.72003200171358232465099.920042416615987828487102.820052877918308533930100.81D.EᦪஹFGHI⚗ḄKI஺?2LMᒹOPQRSLMஹTᔠVWLMஹXYZ℉ឋLMஹK]Z℉ឋLM஺^_?1᪷*⚪Rbcdឋeᦪfghi᝞jkCoefficients:EstimateStd.ErrortvaluePr(>|t|)(Intercept)-3.757e+031.181e+03-3.1810.00402**XI5.738e-033.233e-031.7750.08863.X28.124e-011.874e-0243.343<2e-16***X33.471e+011.101e+013.1520.00432**Signif.codes:0'***'0.001**001*'0.050.1''1Residualstandarderror:348.3on24degreesoffreedomMultipleR-squared:0.9982,AdjustedR-squared:0.998F-statistic:4452on3and24DF,p-value:<2.2e-16

29lm☢ḄhioFGHI⚗Ḅ᪗qIḄᨬstuD.v348.3,ᡠ|ᐸKI:a2=121333.7?2BLM1.PQRSLM᪷*PQᳮoᑁḄ᡽ᜧᦈᦈᐭtὅᕈ<ᐵᐵEᦪ£=5.738e-03ு0,ᳮḄtEᦪ᪷*¡PQᨵᐵᳮ᡽£ឋḄ¤᡽ᜧ◤¦§¨©ᦈᦈᐭª«ᩭᦈḄ®¯°ᡠ|Eᦪ0

30ùúFG^ÑXYû⚪1.FG^ÑXYḄᩭüᨵýþÿḄᩭᨵḄᐹᨵឋᵫ᡾⚗ᒹ!"#$ᶍ&Ḅ'ᶍ&Ḅ(#$Ḅ))*+ᐵḄ#$-ᨵ.Ḅ/0⚗'.123*Ḅ஺2.ᨵ56789ᑖ78;<=ᨬ?@ABCḄDE(0F9ᨵG678H78Iᨬ?@ABCḄDEJ0FKH஺L1*ḄM(᡾⚗+ᐵNOPᵨOLSBCᑮḄSᦪBCUVWXBCL2(᡾⚗HYWᐵஹHY+ᐵNOOLSBCᑮḄSᦪBC*ᨵXM[\ḄBCL3(᡾⚗HY+ᐵNOOLSBCᑮḄSᦪBC*ᨵX]^[\ḄBC஺3.⌱`aVbᐹḄcdefghᩩj9⌱`aVbᐹḄ◤eflIGmᩩjL1(ᡠopḄqr+ᐵ2(᡾⚗+ᐵL3(#$ᐸt+ᐵluvwxyzᐳ|ឋ஺4.=#$Yt=Bo+BiXn+B2X2t+B3Yti+utᎷ~Y[(d+ᐵ஺V"◀+ᐵឋPᵨbᐹᐜᓃᐵ(Xᑮ1t᝞IB0+BIXH+B2X21+B-sy+tN[ᔲ◀#$Yr(Ḅ+ᐵឋ9V9◀஺ᙠ1Ꮇ~IXH,X21(*+ᐵḄᵫᵫ(XzBCwḄ᮱It(+ᐵ஺5.=[ᐗ#$Ꮇ~XḄ£X,(¤ᨵX¥X,=X+e“ᐸe,*ᐹᨵ¦ᙳஹW¨ᑡ+ᐵ](XªU,+ᐵḄ஺1ᔲ«X,=X¬+e,pᐭ#$¤ᣚᡂY,=M+BX+v,0±²BC9ᐸv,Vᣚ0#$Ḅ᡾⚗஺2±[³Ꮇ~?(´¤µlª¶·(X¤µW¸Y+ᐵgEXiv,=0ᡂ¹ᔩ9X,(Xi+ᐵᔩ93ᵫ2Ḅ»¼½¾¿᪵Ḅbᐹ=ᣚ0Ḅ#$±²BC9L1Á஺ÂVᣚ0Ḅ#$Vᓃ=6஺+6ÃCLu-e.e,ÁÄᯠᵫ4(X,HY+ᐵᑣ;<ᣚ0Ḅ#$Ḅ᡾⚗VǬ■,(X,HY+ᐵ஺(2)E(X,τv)=E[(X+e,,)("B©)]tt

31=E(Xiut)—3)E(Xi-i6,)+E(e,-iUJ—0)E(6,-iei)=0IyᦪḄOµ¨ᑡ◀^¶·*l[▤ÛᑖḄ8Üᡈᓄ᳛Ḅ8Üwx))ᐹᨵàáḄ+ᐵឋÂâX,(X-ãä⊤æç#ᡈèéḄO¶·¤µê+ᐵ᝞F*[▤ÛᑖḄ8Üᡈlᓄ᳛Ḅ8᝱wxᑣ¶·µḄ+ᐵឋ3ìíîMUᨵ[ïðrḄ+ᐵឋ஺(3)ᵫ(2)Ḅ»¼E(Xv)=0,ᓽX-(ᣚ0Ḅ#$Ḅ᡾⚗+ᐵ']ᐘ(X-tltᨵàáḄ+ᐵឋÂᵨXiaVX,Ḅbᐹ=ᣚ0Ḅ#$±²BC஺6.[m=÷ᙢùᜧûü3ýþÿḄᓫ᝞gEMPt=Bo+BigMINI+BgPOP+B,gGDP>+BigGDP+ut2ttL"#$EMP%&'(Ḅᜧ*+,ᦪ$MINI%.ᙢ0ᨬ2▲456$POP%&7(Ḅᜧ*+,ᦪ,GDP1%.ᙢ09ᑁ+;<=$GDP%.99ᑁ+;<=>g⊤@ABC᳛஺(1)᝞H.ᙢ0IJKLLMMN᧕PQḄᓾS&7(ᜧ*+'(ᨵḄUVW%XẠᩭ⌱\ᨬ2▲456$ᑣOLS_`abcᙠefg⚪i(2)jMIN%.9Ḅᨬ2▲456$klmn᡾p⚗rᐵᔩi(3)ᢥ᯿xy$ᔜᙢ0ᨬ2▲456N{2|9}ᨬ256$~fgMINᡂ%gMINIḄ5ᐹᔩi(1)ᵫ|ᙢIJ᪷ḄஹḄKḄᩭᑴᙢ0ᨬ2▲456$¡#¢Nᒹ¤¥¦UV$§¨©ªᑮ¬Ḅmn᡾⚗#$U®gMINIlUN°±rᐵ$§²³´rᐵḄ$¥aµ¶OLS_`Ḅ·¸$¹º᪵¼½Bᜧ¾¿NᐹᨵÀÁឋ஺(2)ᐰ9ᨬ2▲456ḄᑴÄ⌕᪷ᐰ9᦮ÇḄȧ$U®gMINIX¼lÉḄmn᡾p⚗Êᐵ஺(3)ᵫ|ᙢIJᙠᑴ¼ᙢ0ᨬ256¾ËËbὃ⇋ᐰ9ᨬ256Î⌕Ï$U®gMINIlgMINᐹᨵÐÑḄrᐵឋ஺ªᔠ(2)ÓgMINKW%gMINIḄ5ᐹÔᵨ஺Ö×ØLÙᐳÛឋ1.efLÙᐳÛឋi;+LÙᐳÛឋḄÝefiS|Lᐗß©j70஺+/34+^Xk+…+/3kXzWi=L2,…,n᝞HàáâᡈLâäåæçè¬rᐵឋ$ᑣé%LÙᐳÛឋ஺;+LÙᐳÛឋḄÝ$ᙠ¾æÉᨵᐳ´ᓄḄëìíåæÐÑḄrᐵឋ஺î᜜$#ᒹ¤älᐸñòä¾$ᵫ|ä¼óòrᐵ$¿b;+LÙᐳÛឋ஺2.LÙᐳÛឋḄᓻõefi%efb⌼ᡂ¥¦ᓻõicᙠ÷ᐰḄLÙᐳÛឋ¾$ḄøᦪaÊx_`$U%øᦪ_`(XX)“XY#Ḅ(XX)üaNcᙠ>LÙᐳÛឋý4³þ¾,(XX)üḄᑖᦪḄᜧḄt℉ឋᜫ!"⚜$ᜫ%&᜜()Ḅᦪ*+,᧜ᔜ/01()23Ḅᐵ567,᧜89:()Ḅᐳ<=>6ᦪ

32ᜫ@ᨵḄBCD஺3.FGᐳHឋḄIJK7LMNᨵOPQRINSTFGᐳHឋḄJK7UVᔜWIᩭ()237ᔲZᙠ℉Ḅᐵᐵ5஺FGᐳHឋḄQRIᨵF\⌕^_ᵫ_abWTᑭᵨ⌲fghI᣸◀klᐳHឋḄஹᑖIஹopᦪḄஹᑭᵨᐜrsᦋᦪḄuvwxஹyz᪵ᩈ}~஺4.ᙠẆᦪᑮ_aWTInf=-5,04+0.887lnK+0,893lnLttt(A)S.E.=(1.40)(0.087)(0.137)R2=0.878n=21ln?t=-8.57+0.0272t+0.4601nK+1,285InLt(B)S.E.=(2.99)(0.020)(0.333)(0.324)R2=0.889n=21ᐸY=K=L=t=3n=᪵}஺gST(1)!"(A)ᡠᨵḄ5ᦪᙠ7℉Ḅ(5%)%(2)!"(B)tInkḄ5ᦪᙠ*℉(5%)%(3)^LM⌼ᡂ@(B)InKḄ5ᦪ*℉%(4)᝞t0InKḄᐵ5ᦪ0.98,᝞ᑨLM¡?(ST(1)!"(A)¤¥5ᦪ:Ḅtᑖ¦T*760.887--0.893,.--------=10.195---------=6.51821.400.0870.137§tᑖ¨©ª⊤t.(18)=2.101,!"(A)¤¥5ᦪtḄ¬:ᙳᜧ®©ª2.101,0025ᡠᨵḄgh5ᦪᙠ7℉Ḅ஺(2)!"(B)tInKḄ5ᦪ:Ḅtᑖ¦T^72=1,33330.460W--------=1.41930.02040.324§tᑖ¨©ª⊤”.025(17¯2.11,!"(B)tInKḄ5ᦪ:Ḅt¬:ᙳ®©ª2.11,gh5ᦪᙠ*℉஺(3)⌼ᡂ!"(B)InK5ᦪ*℉Ḅ7ᵫ®°tḄkᐭt0InK23^Zᙠ²GḄFGᐳHឋ஺(4)t0InKḄᐵ5ᦪ0.98,⊤³ὅᐵµ¶·!"(2)Zᙠ²GḄFGᐳHឋ஺5.¸ᙢº»¼½¾ᑭᵨᨬÀ15ÁḄᵨ¼Á¶ᦪÂ᝞a!"TIV=-326.9+0.305HO+0.363PO-0.005RE-17.87PR-1.123RA(-1.7)(0.9)(1.4)(-0.6)(-1.2)(-0.8)R?=0.939F=38.9ᐸW(Water)—ᵨ¼Ä(ÅÆÇÈ)HO(House)ÊËᡝÄᦪ(ᓟᡝ)PO(Population)ÊÄÎÏ(ᓟÎ)RE(Revenue)—ÎᙳᦈÎ(ᐗ)PR(price)—ÒÓ(ᐗ/100ÇÈ)RA(rain)ÊÕÖ(×È)஺(1)᪷ÂBCᳮ¡ÚÛ⚜gh5ᦪḄÜÝ7LM(*ᒹßà)NLMNáâÜÝ0ḄÚÛÜᔩN

33(2)ᙠ10%Ḅ℉ឋ¼èaéêḄt0µḄF஺t0FᨵìíḄîïᔩN(3)ñ7জᨵóḄ%ঝõᦔḄᡈঞ*ÊùḄᔩNúû▊ýᳮᵫ஺(S:(1)ᙠᐸÿḄḄᡈᦪᑣᵨḄ◤஺ᡠHO"POḄ$%&'(ᦈᐭ+Ḅ,-ᵨ+./REḄ⚜$%&',45-67℉Ḅ9᝞;<=>ᑣᵨᡝ@⁚Bᵨᡠ⚜PRḄCᦪ&D9᝞;EF+ᜧᑣ₝ᙢ"ᐸKLMᡈ὏ᙢḄᵨ◤O@EᡠRAḄCᦪ$%&D஺QRSḄTUV◀XREZ᜜ᡠᨵ$%]^⚜_$஺(2)tdSefᓫ,Ḅ7℉ឋFdSefjklmnopឋ7℉^ᔲ6ὶᔠef஺tutefḄvᵫx&15-5-1=9,ᙠ10%Ḅ7℉ឋḄ&1.833஺ᡠᨵᦪRSḄtḄ]ᡠᓽᙠ10%Ḅ7℉t67℉Ḅ஺tuFdSḄᑖvᵫx&5,ᑖvᵫx&9஺10%7℉ឋFᑖḄ&2.61»7ᯠSḄFᜧ⊤jkCᦪ6ὶᔠ7℉Ḅ஺tef^Fef;_-6ᵫᐳpឋ⌼ᡂḄ஺HOஹPOஹRE]6x_ᐵḄt¥5¦ḄtE§¨⊤©&7℉஺PR"RA7℉ªᨵ«.஺᪷®f᝞;,Ḅᙠ᪵°±²ᨵ³ᜧḄᓄᑣ5µ¶·Ḅ¸¹O-³ºᙢµx஺»¼<^½EFᙠᔜ½¿²ᨵÀᜧᓄᡠ5¦Ḅ¸¹³Áx஺(3)ᐳpឋÂÂ⊤©Ḅ6¶·±Ḅ᪵°_ᐵ©ÃᙠÄᙠÅᐰᐳpឋḄÇÈᐳpÉÊᕡḼÍ°ᎷÏḄÐÑᦋᡠOLSRSḄÕÖឋஹ×ឋ"ᨵᦔឋÙᯠᡂÚ,ᓽÙ6BLUERS஺4ᐳpឋ@Ý×ᦪRSḄlÞᜧÄᙠᐳpឋḄ஺ßàáâlÞឋ1.ᑨä'åÉæᳮᵫ஺¶è(1)┯஺êÄᙠâlÞëOLSRS6ÕÖḄ4ᐹᨵᨵᦔឋ஺(2)஺᝞;ÄᙠâlÞ»¼ḄTef"Fef6ÕᦔḄ஺(3)┯஺î▭6-R-§R஺(4)஺»ñòÞᐸK_óḄḄôõö÷X¶^òÞZ±6ᔲᐹᨵôõᑮḄCdTùᵨᩭᑨäᦪ¿6ᔲÄᙠâlÞ஺(5)஺ûüåÞḄâlÞឋ»¼^TU¿Ḅ¶·_ᐵ./âlÞឋef-ýÚåÞ⚗"ÿᐵḄᎷ஺(6)஺᝞ᙠᑣḄ!"ᐵḄ#$OLS()*⊤,-Ḅ./0஺2.34564ᔜ⚗Ḅ9:஺!;ᵫ=5ឋḄᙠ?@OLSABCᯠEFឋGHIJKᨵᨬNឋᓽJKᨵᦔ;Rᵫ=SḄTUVWXYT[\]F[\_ABḄᐵ`a*⌼ᡂdeḄTUVWXYT[\]F[\_JKE☠Ḅ஺3.!;পi(6-40)⊤,mNopqᓫstuᙳRwxyWop0.009qᓫs.᝞ᵨN}~i

34(6-41),)=(6-40).(2)ὅ-ᯠiᙠ5⚪`ᵨN◀ᩭḄi.ᕡᑣὅᎷ⚗NḄuᡂ.`aὅᙠ(641)ᵨpᩗᨬN}AB.(3)i(6-40)Ḅ.ᦪ)Ei(641)Ḅ¢᳛.ᦪRi(640)Ḅ¢᳛.ᦪ)Ei(641)Ḅ.ᦪ.(4)J`qḄ¤!"J¥.4.!;(1)ᙠ•ᐗFឋ¨©ᨵo_y_z?ZlMP\-y~\~~`aᨵEᵬn5op5Bஹஹ2"yv//Xi"´µi·=Var/3+“´஽·=ZLx2¾"")v22LXi6(2)ᵫ(1)@ᑮZ%ÃK,À▬0)=Zx"K,Rᙠ¥6,Å5tḄq}Æ.᝞K,ு1ᑣÈ}Æᜧ=1,ᑣ᪵5t⚗ᜧ=¥tḄ;R᝞1ுqr0ᑣ5t⚗N=¥tḄ.5!;(1)ÌᎷ⚗GNPḄuᡂ.ÌÏÐ[ÑᔜqtÒḄᦪÓÔÕᑮÖᐵ..(2)×Ø~E¥ḄÙÚᙠÛqiq.ᦪḄ᪗ÝÞß.ICᯠ⊤,5àáâᣚCᯠEᔠᳮḄ.(3)J,æḄRuJèéàáÞ,`qḄ¤!"EJ¥Ḅ.6!;(1)✌ᐜdeìíîᙳïðññòᦈᐭḄFឋ

35jn0஺+QXi+ÈOLSABḄ᝞6ÃAᓃ=272.3635+0.755125X,(1.705713)(32.38690)RA2=0.983129F=1048.912N=20(2)5ឋ[\✌ᐜõG-Q[\20q᪵ØᢥX÷ᜧᑮN᣸ᑡᣵW4qÔûüýþq᪵ØàáOLSAB᪵Øÿᙳ8.᪵Ay.=212.2118+0.761893%.z(0.3997)(12.625)R2=0.96372,F=159.39,N=8,RSS1=615472.0᪵Aᓃ.=1277.161+0.554126X,(0.829)(1.779287)RA2=0.345,F=3.1658,N=8,RSS2=126528.3᪷☢᪵ᑮḄᡃ!"#F$"2/?SSl/(8-l-l)615472.0/6F=-------------------=---------------=4.86RSS2/(8-1-1)126528.3/6ᙠ5%Ḅ&℉ឋ)*+ᵫ-(6,6)ḄFᑖ01234.28,456789ឋᎷ;⊤=>?@Aᙠ9ឋ஺ᐸDEᵨᝰᱯIJ஺ᙠK>?@LMOLSN"OPQᑡᯠOPTU஺ᵨVQᑡKWᦪ⚗ஹXḄD⚗D⚗LMᑮVTU[\Ḅ]ᔠ_-K`Ḅabᨽde$"(fghij⌕ᙠK>?@LMOLSO⌱mView/ResidualTests/WhitcHeteroskcdasticitynopᡂ)஺ᵫTUᑮḄLM$"s412.65213,tuᭆ᳛0.001789.f⊤=ᙠ5%Ḅ&℉ឋ)*>?@Aᙠ9஺(3)EᵨKᦪyឋ?@LMN"᝞*Aᓃ.=0.25+0.946X,(0.94)(31.4)RA2=0.98F=985n=20KVLMᝰᱯIJᑮLM=2.48,tuᭆ᳛0.29,{|Kᦪ?@}Aᙠ9ឋ~⚪,f⊤=Kᦪᙠ[-◀9~⚪{KᦪOᦪ9n஺

36Qᑡᐵឋ1.ᑨ=ᳮᵫ஺(1)┯AᙠQᑡᐵOLSN"ᯠ58Ḅ}ᐹᨵᨵᨵᦔឋ஺(2)K`ᵨDW$"IJIJᯠᎷu§¨᡾⚗5ªḄ஺(3)┯5Ꮇ+ᐵ¬ᦪ+1஺(4)K⌕¯°?@ḄR2,?@\Ḅ²³5᪵Ḅ஺(5)Kfµ5?@;¶ᩭḄ&℉ḄDW3஺(6)K{⚜º»¼ᑮu§½Aᙠu§¨᡾⚗+ᐵOLS¾}µ¿N"u§஺(7)Kfµ5ᵫ4?@ḄÁ¶ᩭḄ&℉ḄDW3஺(8)┯|jµᵨB-Wg$"ᩭIJÆÇᡃÈᵨDW⊤ᩭIJfᎷ;஺(9)Kᑏ*᝞*?@y,=Í+ÎX,+ÐÐÐ/+,KV?@▤ᑖᓽÔ஺2ÕÖ(1)ᙠ•ᐗyឋ?@\,oÙᨵExAEx2Ex{|ᨵE(/=E(s+£u=Lx,fÚÛ»¼ᑮu§¨᡾⚗ḄQᑡᐵឋ஺(2)ᵫ(1)Ù£i)=Var(0)+!

3722a"äxxᐭr+2+…+t=\'xx+n-i)2ஹ2n-1v-vnM-2ÐaXX2X]Xn+++PZj+gJr=lExZxEx>H-l2)Xi2XX+1XJ+2ar=1r=lXiXnp+᜛+•+PExEx7ð\ñò⚗58+ᐵÐτḄOLSN"᜛τḄ⚗ᒹô{õu§¨᡾Exxt0,>o,ᓽ4,üX,ᙳAᙠQᑡᐵ;P<0,<0ZxEx2ᓽ஻üX,ᙳAᙠÿᑡᐵᑣYar(B)>Yar(0)ExxExxt0ZxExᓽ஻X,ᙳᙠᑡᐵᑣVar(0)⚗஺(3)@0,-ḄAᦪCDᡃF,-◤⌕IJKLMᩭᑨP஺4R▤+ᐵᢣḄ.UVW᡾⚗ḄYZ[\+]Z^[_`ᙠᐵឋ஺bDWefg〉ᵨ0jkl6mUVklUVW᡾⚗ḄnoVᑴ.•▤+ᐵrstᨵuv⚗rs!"wxyz{jklY|jkl_R'ᨵ}ᜫᦪḄ஺᪷34,ᑨP᝞(1).(2).

38(3)ஹ(4)w,(5),஺5✌ᐜOLSfrsᑮᖪe᝞A=152.91+0.02GQP,(2.32)(20.12)R2=0.948SE=154.9D.W.=0.6282.£ᑡᐵ¤KI¥¦ᓃ¨`tª,«ᓃ-Ḅᐵ®ᩭ¯UVW᡾⚗ᕈ±ᑡᐵឋ஺¥¦®C²¥¦ᐵ®rs¤Kfᵨᓃ@«e,-i£rsᑮ᝞rseA4=-1.088+1.114³0.7536(-0.05)(6.26)(-3.83)Tµ¶l[⊤¸ᓃ_1«wxᙠ5%Ḅ»℉ឋ½¾@&ᨵ»℉ÀÁ5Â!"ᙠ;▤+ᐵ஺RÃ¥¦Ä▤+rsÅÆ6Aᓃ=0.64+1.17Ç஺9%+0È36É(0.029)(4.44)(-1.9)(0.33)Tµ¶l[⊤¸yzÄ^Ḅ¥¦R3.w»℉Ḅ5!"wᙠÄ▤+ᐵ஺D.W.¤KᵫÂ!"OLSrsÅÆLD.W=0.628,ᙠ5%»℉ឋ½¾N=24,K=2(tÌᦪ⚗)Í⊤ᑮÎd/=L27,ÑÎd“=L27,ᵫ0D.W[É0ÎᦑᙠR▤+ᐵ஺

39ÔÕᨽ11×ؤKt;▤yz¥¦⚗ḄÙÚrse6:=6.59-0.0003GOP,+1094^-0786*eÝ(0.231)(-0.504)(6.231)(-3.692)RA2=0.66142ᵫÑàrsᑮLM=22*0.6614=14.55,â[ᜧ0»℉ឋ½¾65%,+ᵫä62Ḅ7ᑖæḄçÎ[5.991,ᵫᑨPÂ!"ᙠ;▤ᑡᐵឋ஺RÃ,|t3▤yz¥¦ḄÙÚrsᑮÙÚrse6Aw=6.692-0.0003GDP,+1.108?³0.8196,+0.032e3(0.228)(-0.497)(4.541)(-1.842)(0.087)22=0.661525LM=21*0.6615=13.89,â[ᜧ0»℉ឋ65%,+éä63Ḅ,ᑖæḄçÎ[7.815,êᯠ⊤¸Â!"ᙠᑡᐵឋ%ᵫ0e.3Ḅìᦪw»℉í¸wᙠ3▤ᑡᐵឋ஺3+ᐵᜐᳮðᵨñᝍóôfõ¶Â!"ᑮrsÅÆ6AMᡝ69.32+0.020GDP,+XA08ARপ-0.801AR(2)(3.81)(18.45)(6.11)(-3.61)RA2=0.982÷᦮ḄR2=0.979,D.W=1.85ᐸ$AR(1),AR(2)ZḄᦪ6UVW᡾⚗Ḅ1▤2▤ᑡᐵᦪ஺ᙠ5%Ḅ»℉ឋ½¾D.W>d“=1.66(22ú᪵ü)⊤¸Jý4¦ᑖzḄ!"wᙠᑡᐵឋ஺OLSrsÅÆþÿ⚗ᨵ᳛ᦪᨵ஺

403-456+,781.ᐭḄᵨ!"ᙠᐭ$⌕&'()*(,).ឋ01234Ḅ56஺789:;<89:ᨬ$⌕Ḅᐭ9:>ὅ$⌕〉ᵨA.ឋ012⚗BC56ḄDEFὅ$⌕〉ᵨA.ឋ012᳛⚗BC56ḄDE஺◀H᜜JKL78;<8MᔠḄ9:ᐭ,PQKRS.ឋ012⚗;᳛⚗TQBC56ḄDE஺2.ᨵUVWXYḄᐭ9:Z[ᔜ〉ᵨADE!"ᙠᐭḄ$⌕9:ᨵ789:;<89:>ὅ$⌕〉ᵨA.ឋ012⚗BC56ḄDEFὅ$⌕〉ᵨA.ឋ012᳛⚗BC56ḄDE஺◀H᜜JKL78;<8MᔠḄ9:ᐭPQKRS.ឋ012⚗;᳛⚗TQBC56ḄDE஺3.◍▟!"᪷aḄbcdᑣfgDEh᝞j.ឋᨵmklᑣ◤ᙠᐭm-lk஺᝞jᐭ'mknopq34rstᐰḄᐳwឋx⚪z{pq|8}~஺PWᵫAᐭkᦪ;lkᦪpqḄ|8}~Ḅx⚪&“◍▟”஺4.ᙠf⚗2ᓅ*ᜧCᨴrḄẆ&CḄr◀ᐸḄᨴᦈᐭ᜜Jᙠ᪥ᔲᑮᝄᩭ᩟J¢£¤¥¦§ᙢ©Jª¦§ᙢ©L«ឋ01Ḅ56஺¬b.〉Ḅ®pr᝞hD¯hCrḄᙳ"(1)ᩭª¦§᩟ᙢ©Ḅ᝕C²ᑮᝄ³(2)ᩭª¦§¢£ᙢ©ḄᵱCᑮᝄ³(3)ᩭ¦§ᙢ©Ḅ᩟᝕Cᑮᝄ³(4)ᩭ¦§ᙢ©Ḅ¢£ᵱC²ᑮᝄ஺3!"µCᨴr&Y,ᐸᨴᦈᐭ&X,ᑣᙠ¶ὃ⇋ᐸ¹01Ḅ56Qᨵ᝞hXY"Yi=Po+P,Xi+uiᐸ¹.ឋ01Kᵨ᝞h⊤Ã"1ᨵᝄ1ᩭ¢£D]=YL)2~0|ᝄ0ᩭ᩟~1ᵱឋ1ᩭ¦§ᙢ©D?=yD4=Y0ᩭª¦§ᙢ©0᝕ឋᑣᐭᔜFḄ᝞Ä■:Yi=Po+3iXi+QfIDu+aD+tZD+cr4Dii+ui22i33iᵫHK᝞hᔜWD¯hCḄᙳr"(1)ᩭª¦§᩟ᙢ©Ḅ᝕C²ᑮᝄQḄᨴr"E(Yi|=Xi,Dii=Di=D3i=Dii=0)=Bo+BX2(2)ᩭª¦§¢£ᙢ©ḄᵱCᑮᝄQḄᨴr:

41E(YihXi,DH=D.“=1,D2i=D3i=0)=(6o+஺I+a4)+BiXi(3)ᩭ¦§ᙢ©Ḅ᩟᝕CᑮᝄQḄᨴr"E(Yi|=Xi,Du=D3i=l,D2Ú=0)=(8o+Qfi+a3)+BX(4)ᩭ¦§ᙢ©Ḅ¢£ᵱC²ᑮᝄQḄᨴr"E(Yi|=Xi,Di=DFDu=l,I)ii=0)=(Po+cr+a3+CC)+PiXi2a245.ẆÞßàḄᦪY;áâᦈᐭXḄᐵQäᦪaᦣæçèÃ1979ì>FY2XḄᐵíè¶TÞßîᦪ¦C'ï᪀ឋᓄ"XYòᑖhô'{õ▭÷ᔣᜧ'஺(1)¬ᔣ7ᐭ〉Ḅù᧜¤¥ûᑴýḄ56஺(2)ᑏrḄb.¯:஺!"(1)ᙠ¤¥¦ÿᢚᐭᩭ⊤ᓄ஺_P11979#$Di979=101979#&(2)*+,Y.Bo+B1X1+B2D1979+63D1979Xi+ut6.᪷;<=1961#>?@AB1977#>C@AḄ@Aᦪ;ᡃGHᑮJ᝞LḄᕸᖹ◤PQᦪḄRSTInQ=l.2789-0.16471nP,+0.51151nI+0.14831nP'^0.0089T-0.0961D“-0.1570D-0.0097Dtt2t3l(-2.14)(1.23)(0.55)(-3.36)(-3.74)(-6.03)(-0.37)R2=0.80ᐸcQ?eᙳᕸᖹghiP?ᕸᖹḄjk(1967#jkljk)iI—eᙳᦈᐭiP'-ₐpḄjk(1967#jkljk)iT—qrs(1961#>?@A1,……1977#>C@A66)i"1>?@A^1>C@A^1>v@AD.joᐸxD2t=Y0ᐸxD3t=j0ᐸxyRzLᑡ|⚪(1)*+cPஹIP'ᦪḄ(2)ᕸᖹḄjk◤Pᔲᨵឋ(3)ᕸᖹₐ⊡(4)᝞qTḄᦪ(5)᝞*+cḄᵨ(6)?ᙠ℉Ḅ(0.05)?(7)ᕸᖹḄ◤Pᔲ£ᙠ@⁚ᦔ¦z(1)§RS*+ᩭ¨PḄᦪ-0.1647⊤©ᕸᖹḄjkª«1%ᕸᖹḄ◤P®0.1647%,ᕸᖹ◤PḄjkឋᦪiIḄᦪ0.5115⊤Ḅᕸᖹ◤P¯ᦈᐭḄឋ,ᓽ©ᦈᐭª«1%ᕸᖹ◤P±ª«0.5115%iP'Ḅᦪ0.1483⊤Ḅᕸᖹ◤P¯ₐp

42Ḅ²³jkឋᦪᓽ©ₐpḄjkª«1%ᕸᖹ◤P±ª«0.1483%஺(2)ᕸᖹ◤PḄjkឋ0.1647´µ1,¶µ·¸ឋ஺(3)ᵫµ²³jkឋº⊤»¼ὅ஺(4)qTḄᦪ-0.0089,⊤ᕸᖹḄ◤Pᙠ⌲#⌴஺(5)ḄᐭÀ᧜J@⁚Âïᕸᖹ◤PḄÄÅ஺(6)ᙠ5%Ḅ℉ឋÆÇLtḄÈÉÊto025(70-8)=1.99,D1ËDᦪḄtÌ2¯ÊᜧµÈÉÊᙠ℉Ḅ஺(7)ᕸᖹ◤P£ᙠ@⁚ᦔ¦>?▤Ï>C@AḄ├Ñ⌕®µᐸx@A஺7.?ᵫÓ209Ḅ᪵ÕÖḄCEO×ÆḄTIn(salary}=4.59+0.2571n(sales)+0.01lroe+0.158finance+0.181cosprod-0.283utility(15.3)(8.03)(2.75)(1.775)(2.130)(-2.895)ᐸcsalary⊤#×Æ(Øᐗ)ஹsales⊤#ᦈᐭ(Øᐗ)ஹroe⊤ÚÛÜἠᦈÞ(Øᐗ);finance>consprodutilityᙳᑖá⊤âãäஹghåäÚᵨæä¯ç.ä²èéä஺(1)vêᦪḄiফìᢝsalesroelîÚᵨæä²èéäïqÖ×ÆḄðñòᑖçóô஺óôᙠ1%Ḅ℉ÆÇ℉Ḅᔩ(3)ghåäâãäïqÖ×ÆḄðñòᑖçóôö®ᑏø?ùúûüýþÿᙠᔲ℉Ḅ஺(1)financeḄᦪḄ├ᦈᐭ!"#ἠᦈ%&ᢝ()*+,-.ḄCEO⌕01234.ḄCEO567815.89ᑖ;஺ᐸ=>?@AB஺(2)!ᵨD.E1234.FGH78ḄIA9ᑖ0JK9ᑖᦪButilityḄᦪ,ᓽ28.3%஺ᵫOᦪḄtP-2.895,QᜧO1%℉ឋ8TUVᵫW203ḄtᑖXḄYZP1.96,[\]℉Ḅ஺(3)ᵫO^_`a.E,-.bcO1234.Ḅ789ᑖ0ᑖd15.8%18.1%,[\QeGḄ18.1%-15.8%=2.3%஺fghijkfᔲ℉Ḅln(salary)=Bo+B11n(salse)+6roe+B3+஺1consprod+autilty+(Xtrans+u223ᐸl+trans1234.mn)o஺pc0qr,-.+[\^⊤uv^_`a.,-.78Ḅ9ᑖᦪ+ᐸtP?ᵨᩭxy℉ឋjk஺z{|}~)o1.}~}~Ḅ[⌕ᨵB)oEB)oḄ[ὶ?g(ᙠf*G+ᙠfl2ᨵ*G}~+B)o◤⌕2f*GgᐰᵨOB)o஺ᵫOḄឋ+B)oḄ)ᓄ¢¢£ᑮV¥¦§P8TḄ¨©஺B)o£V¥ᡈᐸQ)o«8TḄ¨¬}~஺}~⌕ᵫO)oV¥ஹ¯°ὅ²ᳮஹᢈµEᑴWḄ[஺

432.⌕¸¹}~)o¸¹}~)o⌕qOKUº[»¼1ᵫO½¾Ḅ¿ஹyḄÀᡂÂ)ᙠÃᜧWÄ«ḄÅᑗbᐵ+}~)o?KÈᐰ☢ஹÊËᙢÍÎ+ÏÐḄnᔠW஺¼2}~)o?KÒ᧜¦Ḅc«yḄ¨©+ÔÕÍÎvḄ3+Öᡂ᝱஺¼3}~)o?Knᑖ᪆Ḅ)ᓄEÙ᦮஺3.}~)oᨵº]@ᑖX}~ÖᵨOLSHᦪÛᙠÜ⚪?ᵨÞ]ßxyH}~)oᨵᑖX}~EVàá>ᜧ@+ὅâᨵB)oãᐸ}~)oḄB)o+(ᒹB)oḄ}~)oḄB)oåÕ~ὅᑣK«B)oB)oḄçè«}~)oḄB)o஺ᑖX}~ᨵé▲«ḄᑖX}~Eᨵ▲«ḄᑖX}~VàáëKKoyckஹV〉í⚜«EïðÙ᦮ᨬ5ò஺ᑖX}~ÖᵨOLSßÛᙠKUÜ⚪¼1cOé▲«ḄᑖX}~+ᵫO᪵ôËõPḄᨵ▲ឋ+ÖöéßhicᐸxyH஺2cOᨵ▲«ḄᑖX}~+ÖᵨOLSß¾⍗ᑮøᨵᐜkrᑣúû}~«üW+cᨬᜧ}~«Ḅúû¢¢ýᨵËþÿឋ᝞ᵫ᪵ᨵ▲ᦪᯠᵫ!"#$%Ḅᵫ'()*+,-./012345ᙠ78ឋ9ᐵᓽ<=345ᙠ7Ḅ>?ᐳ8ឋ஺Bᨵ▲ᑖD<=EᵨG-ᩗI+Almon>⚗KI)*LᦪBM▲ᑖD<=EᵨKoyckNIBOP<=EᵨQᐹIᡈOLSI)*Lᦪ஺4.VWXG-ᩗ)*IYEZḄᩗᦪᨵ[\]Y^]NIḄᱯ`XVWYaG-ᩗ)*IXᵨᨵ▲ᑖD<=Ḅb]cd)*NI஺eNIX᪷gh▭j⚪Ḅᱯ`lmnoḄG-pᔜᢣsᩗᦪtᢥᩗᦪ᪀ᡂᔜḄ8ឋxᔠzᡂ{Ḅ|'()*஺EᵨḄᩗᦪ}=ᨵ~}⌴=ஹz+᎔V=஺eNIḄ`Xᓫ᧕(ஹᜫᵫஹ>?ᐳ8ឋ+Lᦪ)*ᐹᨵbឋ஺"`XᩗᦪḄឋᜧ⌕Bh▭j⚪ḄᱯᐹᨵḄ஺EḄIX>⌱\xᩗᦪᑖ'()*᪷g,-¡*⌱¢ᨬ¤N¥஺5.Koyck<=ஹ〉§⚜<=+©ª«᦮<=ᨵ®.Y<=)*¯5ᙠ[°±²?᝞´YaKoyck<=XᵫM▲ᑖD<=µKoyckᣚ·Ḅb▤OP<=¹᝞º»:⌕½¾¿⚜ḄÀÁ⚜ḄᓄÃ$Ä〉§⚜Ꮇᑣº»Ḅᓄ3lᵨ〉§⚜<=ᩭÈɹᙠÊb°GËÌÍÎÏ〉§»Ḅᓄº»ᨵ¿⚜Ḅᨬ¤0Ð1B§ᓽ»ḄÑ0ÀÁº»Ḅ⚜0º»ḄÒ0X.»8ឋÓᦪḄ<=ÔÏ©ª«᦮<=஺~]<=ḄᨬÕzKÖ3l×ᓄÏb

44▤OP<=஺Ø⌕ᨵÙ¿N☢bXÛ·<=ḄGËÜÝÐÞß.¹àXᵫ<=zᡂáᳮ.Ûáã᡾⚗å᪀.p<=)*æᩭbsÀÁ஺Koyck<=+〉§⚜<=Ã$çᐺᎷs»Ðáã᡾⚗.9ᐵéᨬêàëI)*Xᨵìíb)*3ᵨQᐹI'()*¹〉§⚜<=ᑣî5ᙠ»Ðáã᡾⚗Ḅ®9ᐵïðéᨬêàë)*ᐹᨵbឋ஺6.ὃòlóᑖD<=Yt=a+pOXt+p1Xt-1+p2Xt-2+p3Xt-3+p4Xt-4+p5Xt-5+gtᎷ᝞ᵨAlmon2▤ᨵ▲>⚗Kᣚ)*^¿<=nYt=0.85+0.50WOt+0.45Wlt-0.10W2tᐸÎ555W0t=ZXt-i,Wlt=Zi-Xt-i,W2t=giA2Xtii=0i=0i=0(1)õ<=ÎᔜLᦪḄ)*0¹(2)÷)*XBYḄøÀÁëᦪ+ÀÁëᦪ஺a:(1)᪷gAlmonùᦪᣚ“a=0.85,Ap0=Aa0=0.5,Aa1=0.45,Aa2=-0.10ú1=Aa0+-al+'a2=0.5+0.45-0.10=0.85ú2—a0+2Fl+4»2=0.5+2x0.45-4x0.10=lú3=10+3-al+Ta2=0.5+3x0.459x0.10=0.95-04=aO+4Aal+16Aa2=0.5+4x0.45-16x0.10=0.7ú5=Aa0+5*al+25^a2=0.5+5x0.45-25x0.10=0.25ফXBYḄøÀÁëᦪÏXtḄùᦪú0=0.5;XBYḄÀÁëᦪÏᔜùᦪ1+5Xúi=0.5+0.85+1+0.95+0.7+0.25=4.25¹i=0XBYḄᔜüëᦪᑖÏᔜḄùᦪú1=0.85,ú2=1,ú3=0.95,ú4=0.7,ú5=0.25o

45

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