Graduatestoapplyforthequantitativeanalysisofchangesinnumberofgraduatestudents一TopicsraisedInthispaper,thetotalnumberofstudentsfromgraduatestudents(variable)multivariateanalysis(seebelow)specificanalysis,andcollectrelevantdata,modelbuilding,thisquantitativeanalysis.Thenumberofrelationsbetweentheschoolthetotalnumberofgraduatestudentswiththemajorfactors,accordingtothesizeofthevariousfactorsinthecoefficientinthemodelequations,analyzetheimportanceofvariousfactors,exactlywhatfactorsinchangesinthenumberofgraduatestudentsaspectsplayakeyroleinandchangesinthetrendforfuturegraduatestudentstoourproposal.Themainfactorsaffectchangesinthetotalnumberofgraduatestudentsforstudentsareasfollows:PercapitaGDP-whichisaffectinganimportantfactortothetotalnumberofstudentsinthegraduatestudents(graduateschoolisnotasmallcost,andonlyhaveacertaineconomicbasehavemoreopportunitiesforpost-graduate)Thetotalpopulation-itwillaffectthetotalnumberofstudentsingraduatestudentsisanimportantfactor(itcanbesaidtoaffectitisbasedonsource)Thenumberofunemployedpersons-thisistheimpactofadirectfactorofthetotalnumberofstudentsinthegraduatestudents(itispreciselybecauseofthehighunemploymentrate,willmorepeoplechooseKaoyanwillbetheirownemploymentweights)Numberofcollegesanduniversities-whichistoinfluencepreciselybecauseoftheemergenceofmoreinstitutionsofhigherlearningintheschoolthetotalnumberofgraduatestudentsisnotasmallfactor(toallowmorepeopletoparticipateinKaoyan)二EstablishModelY=α+β1X1+β2X2+β3X3+β4X4+uAmongthem,theY-inthetotalnumberofgraduatestudents(variable)X1-percapitaGDP(explanatoryvariables)X2-thetotalpopulation(explanatoryvariables)X3-thenumberofunemployedpersons(explanatoryvariables)X4-thenumberofcollegesanduniversities(explanatoryvariables)三、Datacollection1.dateExplainHere,usingthesamearea(ie,China)time-seriesdatawerefitted2.DatacollectionTimeseriesdatafrom1986to2005,thespecificcircumstancesareshowninTable1Table1:YX1X2X3X41986110371963107507264.4105419871201911112109300276.6106319881127761366111026296.2107519891013391519112704377.910751990930181644114333383.210751991881281893115823352.210751992941642311117171363.9105319931067712998118517420.1106519941279354044119850476.4108019951454435046121121519.6105419961633225846122389552.8103219971763536420123626576.81020199819888567961247615711022199923351371591257865751071200030123978581267435951041200139325686221276276811225200250098093981284537701396200365126010542129227800155220048198961233612998882717312005978610140401307568391792四、Modelparameterestimation,inspectionandcorrection1.Modelparameterestimationanditseconomicsignificance,statisticalinferencetest.twoway(scatterYX1)02000004000006000008000001.0e+06Y050001000015000X1twoway(scatterYX2)02000004000006000008000001.0e+06Y105000110000115000120000125000130000X2twoway(scatterYX3)02000004000006000008000001.0e+06Y200400600800X3twoway(scatterYX4)02000004000006000008000001.0e+06Y10001200140016001800X4graphtwowaylfityX10200000400000600000800000Fittedvalues050001000015000X1graphtwowaylfityX2-2000000200000400000600000Fittedvalues105000110000115000120000125000130000X2graphtwowaylfityX30200000400000600000800000Fittedvalues200400600800X3graphtwowaylfityX402000004000006000008000001000000Fittedvalues10001200140016001800X4_cons270775.2369252.90.730.475-516268.71057819X4621.334846.7225713.300.000521.748720.9216X3-366.8774157.9402-2.320.035-703.5189-30.23585X2-7.1586033.257541-2.200.044-14.10189-.2153182X159.224556.3522889.320.00045.6849672.76413YCoef.Std.Err.tP|t|[95%Conf.Interval]Total1.3040e+12196.8631e+10RootMSE=18535AdjR-squared=0.9950Residual5.1533e+0915343556320R-squared=0.9960Model1.2988e+1243.2471e+11ProbF=0.0000F(4,15)=945.14SourceSSdfMSNumberofobs=20.regYX1X2X3X4Y=59.22454816*X1-7.158602346*X2-366.8774279*X3+621.3347694*X4(6.352288)(3.257541)(157.9402)(46.72256)t=(9.323341)(-2.197548)(-2.322889)(13.29839)+270775.151(369252.8)(0.733306)R2=0.996048AdjustedR-squared=0.994994F=945.1415DW=1.596173Visible,X1,X2,X3,X4tvaluesaresignificant,indicatingthatthepercapitaGDP,thetotalpopulationofregisteredurbanunemployedpopulation,thenumberofcollegesanduniversitiesarethemainfactorsaffectingthetotalnumberofgraduatestudentsinschool.Modelcoefficientofdeterminationfor0.996048amendmentscoefficientofdeterminationof0.994994,wasrelativelylarge,indicatinghighdegreeofmodelfit,whiletheFvalueof945.1415,indicatingthatthemodeloverallissignificant。Inaddition,thecoefficientofX1,X4,inlinewitheconomicsignificance,butthecoefficientofX2,X3,doesnotmeettheeconomicsignificance,becausefromaneconomicsense,withtheincreaseinthetotalpopulation(X2),thetotalnumberofgraduatestudentsshouldbeincreased,andduetotheincreaseinthenumberofunemployed,therewillbemoreandmorepeoplechoosegraduateschool,sothatthetotalnumberofunemployedandgraduatestudentsshouldbepositivelycorrelated.X2,X3coefficientsigncontrarytoexpectations,whichmayindicatetheexistenceofseveremulticollinearity.2.计量经济学检验X40.80210.61650.77621.0000X30.98080.95931.0000X20.94221.0000X11.0000X1X2X3X4(obs=20).corrX1X2X3X4.X40.77621.0000X31.0000X3X4(obs=20).corrX