商务统计全套配套课件[美]AmirD.AczelJayavelSounderpandian著谭英平等译Chap010.ppt

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1、COMPLETEBUSINESSSTATISTICSbyAMIRD.ACZEL&JAYAVELSOUNDERPANDIAN6thedition.Chapter10SimpleLinearRegressionandCorrelationUsingStatisticsTheSimpleLinearRegressionModelEstimation:TheMethodofLeastSquaresErrorVarianceandtheStandardErrorsofRegressionEstimatorsCorrelationHypothesi

2、sTestsabouttheRegressionRelationshipHowGoodistheRegression?AnalysisofVarianceTableandanFTestoftheRegressionModelResidualAnalysisandCheckingforModelInadequaciesUseoftheRegressionModelforPredictionTheSolverMethodforRegressionSimpleLinearRegressionandCorrelation10Determinewhe

3、theraregressionexperimentwouldbeusefulinagiveninstanceFormulatearegressionmodelComputearegressionequationComputethecovarianceandthecorrelationcoefficientoftworandomvariablesComputeconfidenceintervalsforregressioncoefficientsComputeapredictionintervalforthedependentvariable

4、LEARNINGOBJECTIVES10Afterstudyingthischapter,youshouldbeableto:TesthypothesisaboutaregressioncoefficientsConductanANOVAexperimentusingregressionresultsAnalyzeresidualstocheckiftheassumptionsabouttheregressionmodelarevalidSolveregressionproblemsusingspreadsheettemplatesAppl

5、ycovarianceconcepttolinearcompositesofrandomvariablesUseLINESTfunctiontocarryoutaregressionLEARNINGOBJECTIVES(continued)10Afterstudyingthischapter,youshouldbeableto:10-1UsingStatisticsRegressionreferstothestatisticaltechniqueofmodelingtherelationshipbetweenvariables.Insimp

6、lelinearregression,wemodeltherelationshipbetweentwovariables.Oneofthevariables,denotedbyY,iscalledthedependentvariableandtheother,denotedbyX,iscalledtheindependentvariable.ThemodelwewillusetodepicttherelationshipbetweenXandYwillbeastraight-linerelationship.Agraphicalsketch

7、ofthethepairs(X,Y)iscalledascatterplot.Thisscatterplotlocatespairsofobservationsofadvertisingexpendituresonthex-axisandsalesonthey-axis.Wenoticethat:Larger(smaller)valuesofsalestendtobeassociatedwithlarger(smaller)valuesofadvertising.ScatterplotofAdvertisingExpenditures(X)

8、andSales(Y)50403020100140120100806040200AdvertisingSalesThescatterofpointstendstobedistri