經(jīng)濟統(tǒng)計計量模型chapter2

1、Chapter2Adependentvariableisalsoknownasa(n)explanatoryvariablecontrolvariablepredictorvariableresponsevariableAnswer:dDifficulty:EasyBloomKnowledgeA-Head:DefinitionoftheSimpleRegressionModelBUSPROG:Feedback:Adependentvariableisknownasaresponsevariable.Ifachangeinvariablexcausesachangeinvariabley,var

2、iablexiscalledthedependentvariableexplainedvariableexplanatoryvariableresponsevariableAnswer:cDifficulty:EasyBloomComprehensionA-Head:DefinitionoftheSimpleRegressionModelBUSPROG:Feedback:Ifachangeinvariablexcausesachangeinvariabley,variablexiscalledtheindependentvariableortheexplanatoryvariable.3. I

3、n the equation y = a. dependent variable陽 + B1x + u, is theindependentvariableslopeparameterinterceptparameterAnswer:dDifficulty:EasyBloomKnowledgeA-Head:DefinitionoftheSimpleRegressionModelBUSPROG:is the intercept parameter.Feedback:Intheequationy=+x+u,Intheequationy=Po+Rix+u,whatistheestimatedvalu

4、eof|h,J*X一！1、c.Answer:aDifficulty:EasyBloomKnowledgeA-Head:DerivingtheOrdinaryLeastSquaresEstimatesBUSPROG:Feedback:Theestimatedvalueofis:-h-.Intheequationc=+i+u,cdenotesconsumptionandidenotesincome.Whatistheresidualforthe5thobservationif3$500and3=$475$975$300$25$50Answer:cDifficulty:EasyBloomKnowle

5、dgeA-Head:DerivingtheOrdinaryLeastSquaresEstimatesBUSPROG:I4AFeedback:Theformulaforcalculatingtheresidualfortheithobservationisu.-二.Inthiscase,theIAAresidualis-t5-C5=$500-$475=$25.Whatdoestheequationy-io+優(yōu)籃denoteiftheregressionequationisy=0+1Xi+uTheexplainedsumofsquaresThetotalsumofsquaresThesampler

6、egressionfunctionThepopulationregressionfunctionAnswer:cDifficulty:EasyBloomKnowledgeA-Head:DerivingtheOrdinaryLeastSquaresEstimatesBUSPROG:A.jRlFeedback:Theequation|：denotesthesampleregressionfunctionofthegivenregressionmodel.Considerthefollowingregressionmodel:y=0+伙+u.Whichofthefollowingisapropert

7、yofOrdinaryLeastSquare(OLS)estimatesofthismodelandtheirassociatedstatisticsThesum,andthereforethesampleaverageoftheOLSresiduals,ispositive.ThesumoftheOLSresidualsisnegative.ThesamplecovariancebetweentheregressorsandtheOLSresidualsispositive.Thepoint(,)alwaysliesontheOLSregressionline.Answer:dDifficu

8、lty:EasyBloomKnowledgeA-Head:PropertiesofOLSonAnySampleofDataBUSPROG:Feedback:AnimportantpropertyoftheOLSestimatesisthatthepoint(,-,)alwaysliesontheOLSregressionline.Inotherwords,if又=-.,thepredictedvalueofi.Theexplainedsumofsquaresfortheregressionfunction,時一佻，Bix1,叫isdefinedas.a.；=伸-訐k11d.：Answer:bD

9、ifficulty:EasyBloomKnowledgeas 町 i(yi-寸A-Head:PropertiesofOLSonAnySampleofDataBUSPROG:Feedback:TheexplainedsumofsquaresisdefinedIfthetotalsumofsquares(SST)inaregressionequationis81,andtheresidualsumofsquares(SSR)is25,whatistheexplainedsumofsquares(SSE)64563218Answer:bDifficulty:ModerateBloomApplicat

10、ionA-Head:PropertiesofOLSonAnySampleofDataBUSPROG:AnalyticFeedback:Totalsumofsquares(SST)isgivenbythesumofexplainedsumofsquares(SSE)andresidualsumofsquares(SSR).Therefore,inthiscase,SSE=81-25=56.Iftheresidualsumofsquares(SSR)inaregressionanalysisis66andthetotalsumofsquares(SST)isequalto90,whatisthev

11、alueofthecoefficientofdeterminationa.Answer:cDifficulty:ModerateBloomApplicationA-Head:PropertiesofOLSonAnySampleofDataBUSPROG:AnalyticFeedback:Theformulaforcalculatingthecoefficientofdeterminationis:1-.Inthiscase,屋=1-0.27Whichofthefollowingisanonlinearregressionmodely=伊+pix1/2+ulogy=0+3110gx+uy=1/(

12、0+伊x)+uy=8+歌+uAnswer:cDifficulty:ModerateBloomComprehensionA-Head:PropertiesofOLSonAnySampleofDataBUSPROG:Feedback:Aregressionmodelisnonlineariftheequationisnonlinearintheparameters.Inthiscase,y=1/(0+伊x)+uisnonlinearasitisnonlinearinitsparameters.Whichofthefollowingisassumedforestablishingtheunbiase

13、dnessofOrdinaryLeastSquare(OLS)estimatesTheerrortermhasanexpectedvalueof1givenanyvalueoftheexplanatoryvariable.Theregressionequationislinearintheexplainedandexplanatoryvariables.Thesampleoutcomesontheexplanatoryvariableareallthesamevalue.Theerrortermhasthesamevariancegivenanyvalueoftheexplanatoryvar

14、iable.Answer:dDifficulty:EasyBloomKnowledgeA-Head:ExpectedValuesandVariancesoftheOLSEstimatorsBUSPROG:Feedback:Theerroruhasthesamevariancegivenanyvalueoftheexplanatoryvariable.Theerrorterminaregressionequationissaidtoexhibithomoskedastictyif.a.ithaszeroconditionalmeanithasthesamevarianceforallvalues

15、oftheexplanatoryvariable.ithasthesamevalueforallvaluesoftheexplanatoryvariableiftheerrortermhasavalueofonegivenanyvalueoftheexplanatoryvariable.Answer:bDifficulty:EasyBloomKnowledgeA-Head:ExpectedValuesandVariancesoftheOLSEstimatorsBUSPROG:Feedback:Theerrorterminaregressionequationissaidtoexhibithom

16、oskedastictyifithasthesamevarianceforallvaluesoftheexplanatoryvariable.Intheregressionofyonx,theerrortermexhibitsheteroskedasticityif.a.ithasaconstantvarianceVar(y|x)isafunctionofxxisafunctionofyyisafunctionofxAnswer:bDifficulty:EasyBloomKnowledgeA-Head:ExpectedValuesandVariancesoftheOLSEstimatorsBU

17、SPROG:Feedback:HeteroskedasticityispresentwheneverVar(y|x)isafunctionofxbecauseVar(u|x)=Var(y|x).Whatistheestimatedvalueoftheslopeparameterwhentheregressionequation,y=o+何+upassesthroughtheorigina.I-3ir 三 l Id.Answer:cDifficulty:EasyBloomKnowledgeA-Head:RegressionthroughtheOriginandRegressiononaConst

18、antBUSPROG:Feedback:TheestimatedvalueoftheslopeparameterwhentheregressionequationpassesthroughtheoriginisAnaturalmeasureoftheassociationbetweentworandomvariablesisthecorrelationcoefficient.Answer:TrueDifficulty:EasyBloomKnowledgeA-Head:DefinitionoftheSimpleRegressionModelBUSPROG:Feedback:Anaturalmea

19、sureoftheassociationbetweentworandomvariablesisthecorrelationcoefficient.ThesamplecovariancebetweentheregressorsandtheOrdinaryLeastSquare(OLS)residualsisalwayspositive.Answer:FalseDifficulty:EasyBloomKnowledgeA-Head:PropertiesofOLSonAnySampleofDataBUSPROG:Feedback:ThesamplecovariancebetweentheregressorsandtheOrdinaryLeastSquare(OLS)residualsiszero.18.istheratiooftheexplainedvariationcomparedtothetotalvariation.Answer: