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1、INTRODUCTIONTOMULTIPLEREGRESSIONCONTENTS..............................................................10:lMultipleRegressionModels10.2TheFirst-OrderModel:EstimatingandInterpretingthePParameters10.3ModelAssumptions10.4InferencesAboutthePParameters10.5CheckingtheOv

2、erallUtilityofaModel10.6UsingtheModelforEstimationandPrediction10.7ResidualAnalysis:CheckingtheRegressionAssumptions10.8SomePitfalls:Estimability,Multicollinearity,andExtrapolationSTATISTICSINACTION.................................................................

3、..................................................................................."Wringing"TheBellCurvenChapter9wedemonstratedhowtomodelthe:ThischapterextendsthebasicconceptofChap-Irelationshipbetweenadependentvariableyanditer9,convertingitintoapowerfulestimati

4、onandanindependentvariablexusingastraightline.WefitfpredictiondevicebymodelingthemeanvalueofYasathestraightlinetothedatapoints,usedrandifunct~onoftwoormoreindependentvariables.Ther2to:itechniquesdevelopedwillenableyoutobuildamodelmeasurethestrengthoftherelationsh

5、ipbetweeny;foraresponse,y,asafunctionoftwoormorevan-andx,andusedtheresultingpredictionequationtoahlessinthecaseofasimplelinearregression,aestimatetheanvalueofYortopredictsomefu-multipleregressionanalysisinvolvesfittingthemodelturevalueofyforagivenvalueofx.itoadat

6、aset,testingtheutilityofthemodel,andusingfitforestimationandprediction.557558CHAPTER10IntroductionatoMultipleRegressionMULTIPLEREGRESSIONMODELSMostpracticalapplicationsofregressionanalysisutilizemodelsthataremorecomplexthanthesimplestraight-linemodel.Forexample,a

7、realisticprobabilisticmodclforreactiontimestimuluswouldincludemorethanjusttheamountofaparticulardruginthebloodstream.Factorssuchasage,ameasureofvisualper-ception,andsexofthesubjectareafewofthemanyvariablesthatmightbere-latedtoreactiontime.Thus,wewouldwanttoincorp

8、oratetheseandotherpotentiallyimportantindependentvariablesintothemodelinordertomakeac-curatepredictions.Probabilisticmodelsthatincludemorethanoneindependentvar