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1、第十章直线回归与相关（Thetenthchapterisaboutlinearregressionandcorrelation）Thetenthchapter,linearregressionandrelated.Txt,twomenchasingawoman,withshallow,willgiveupfirst.Twowomenchaseaman,lovewillgiveup.You~-person),IdonotbelieveevenpunctuationandChinawhere1billion300millionofthepopulationcouldnotco
2、mmunicatebetweenmanandwoman.ThetenthchapterisaboutlinearregressionandcorrelationThischapterintroducesthelinearregression(linearregression)ofbivariatedataandlinearcorrelation(linearcorrelation)statisticalmethodusedtostudythequantitativerelationsbetweentwovariables,includingthesystemStatist
3、icaldescriptionandstatisticalinference.Section1linearregressionLinearregressionequationThereare2kindsofvariablesinstatisticalresearch:oneisavariable,andtheotherisXTheXvalueisselected;avariableisarandomvariable,representedbyY,whoseYvaluevariesrandomly.medicineInbiologyandbiology,Xvaluesare
4、normal,andYobeysnormaldistribution.Forexample,theselectedvariableisageX,At1yearsofage,therandomvariablesweretheheightYofeachagegroup,andtheYofeachXvaluewasnormalCloth.Thetwovariablesarerandomvariables,representedbyXandY.Itiscommon(X,Y)toobeydoublevariationAnormaldistribution(bivariation,n
5、ormal,distribution),thatis,anyXvalue,YobeysthepositiveTheXdistributionobeysthenormaldistributionatanyYvalue.Forexample,theheightandweightofaparticularpopulationaremeasuredbyXandYThemean(X,Y)obeysbivariatenormaldistribution.Thestatisticalmethodofbivariatedataistostudythenumberofrandomvaria
6、blesandselectedvariablesortworandomvariablesQuantityrelation.Thiskindofresearchisagroupstudy,anditsquantitativerelationisstatisticalrelationoruncertainrelation.ThevalueofXTheindividualYvalueisuncertain,buttherandomchangeiscenteredonitsmeannumber.Atdifferentages,forexampleTheindividualheig
7、htvalueisuncertain,buttherandomvariationisbasedontheheightmeanofthisage.thisUnlikegeneralmathematicalstudies,theindividualfunctionsorrelationsofthetwovariablesaredifferent.Thequantitativerelationshipbetweenthetwovariablesdependsonthepurposeofthestudyanddependsoneach
