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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