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1、LinearRegressionAnalysisTheoryandComputingThispageintentionallyleftblankLinearRegressionAnalysisTheoryandComputingXinYanUniversityofMissouri–KansasCity,USAXiaoGangSuUniversityofCentralFlorida,USAWorldScientificNEWJERSEY.LONDON.SINGAPORE.BEIJING.SHANGHAI.HONGKONG.TAIPEI.CHENNAIPublishedb
2、yWorldScientificPublishingCo.Pte.Ltd.5TohTuckLink,Singapore596224USAoffice:27WarrenStreet,Suite401-402,Hackensack,NJ07601UKoffice:57SheltonStreet,CoventGarden,LondonWC2H9HELibraryofCongressCataloging-in-PublicationDataYan,XinLinearregressionanalysis:theoryandcomputing/byXinYan&XiaogangS
3、u.p.cm.Includesbibliographicalreferencesandindex.ISBN-13:978-981-283-410-2(hardcover:alk.paper)ISBN-10:981-283-410-9(hardcover:alk.paper)1.Regressionanalysis.I.Su,XiaogangII.Title.QA278.2.Y362009519.5'36--dc222009012000BritishLibraryCataloguing-in-PublicationDataAcataloguerecordforthisb
4、ookisavailablefromtheBritishLibrary.Copyright©2009byWorldScientificPublishingCo.Pte.Ltd.Allrightsreserved.Thisbook,orpartsthereof,maynotbereproducedinanyformorbyanymeans,electronicormechanical,includingphotocopying,recordingoranyinformationstorageandretrievalsystemnowknownortobeinvented
5、,withoutwrittenpermissionfromthePublisher.Forphotocopyingofmaterialinthisvolume,pleasepayacopyingfeethroughtheCopyrightClearanceCenter,Inc.,222RosewoodDrive,Danvers,MA01923,USA.Inthiscasepermissiontophotocopyisnotrequiredfromthepublisher.PrintedinSingapore.EH-LinearRegression.pmd15/8/20
6、09,12:11PMApril29,200911:50WorldScienti¯cBook-9inx6inRegression_masterPrefaceInstatistics,regressionanalysisconsistsoftechniquesformodelingtherelationshipbetweenadependentvariable(alsocalledresponsevariable)andoneormoreindependentvariables(alsoknownasexplanatoryvari-ablesorpredictors).I
7、nregression,thedependentvariableismodeledasafunctionofindependentvariables,correspondingregressionparameters(coe±cients),andarandomerrortermwhichrepresentsvariationinthedependentvariableunexplainedbythefunctionofthedependentvariablesandcoe±cients.Inlinearregressionthedependentv
