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1、COMPLETEBUSINESSSTATISTICSbyAMIRD.ACZEL&JAYAVELSOUNDERPANDIAN6thedition.Chapter11MultipleRegressionUsingStatisticsThek-VariableMultipleRegressionModelTheFTestofaMultipleRegressionModelHowGoodistheRegressionTestsoftheSignificanceofIndividualRegressionParametersTestingth
2、eValidityoftheRegressionModelUsingtheMultipleRegressionModelforPredictionMultipleRegression(1)11QualitativeIndependentVariablesPolynomialRegressionNonlinearModelsandTransformationsMulticollinearityResidualAutocorrelationandtheDurbin-WatsonTestPartialFTestsandVariableSele
3、ctionMethodsMultipleRegressionUsingtheSolverTheMatrixApproachtoMultipleRegressionAnalysisMultipleRegression(2)11DeterminewhethermultipleregressionwouldbeapplicabletoagiveninstanceFormulateamultipleregressionmodelCarryoutamultipleregressionusingaspreadsheettemplateTestthe
4、validityofamultipleregressionbyanalyzingresidualsCarryouthypothesistestsabouttheregressioncoefficientsComputeapredictionintervalforthedependentvariableLEARNINGOBJECTIVES(1)11Afterstudyingthischapteryoushouldbeableto:UseindicatorvariablesinamultipleregressionCarryoutapoly
5、nomialregressionConductaDurbin-WatsontestforautocorrelationinresidualsConductapartialF-testDeterminewhichindependentvariablesaretobeincludedinamultipleregressionmodelSolvemultipleregressionproblemsusingtheSolvermacroLEARNINGOBJECTIVES(2)11Afterstudyingthischapteryoushoul
6、dbeableto:Slope:?1Intercept:?0Anytwopoints(AandB),oraninterceptandslope(?0and?1),definealineonatwo-dimensionalsurface.BAxyx2x1yCABAnythreepoints(A,B,andC),oraninterceptandcoefficientsofx1andx2(?0,?1?,and?2),defineaplaneinathree-dimensionalsurface.LinesPlanes11-1UsingStat
7、isticsThepopulationregressionmodelofadependentvariable,Y,onasetofkindependentvariables,X1,X2,...,Xkisgivenby:Y=?0+?1X1+?2X2+...+?kXk+?where?0istheY-interceptoftheregressionsurfaceandeach?i,i=1,2,...,kistheslopeoftheregressionsurface-sometimescalledtheresponsesurface-with
8、respecttoXi.x2x1y?2?1?0Modelassumptions:1.?~N(0,?2),independentofothererrors.2.ThevariablesXiareuncorre