ISYE 6414 FINAL EXAM QUESTIONS
AND VERIFIED ANSWERS 2024
Trued-dThedrelationshipdthatdlinksdthedpredictorsdisdhighlydnon-linear.d-
dans✔✔IndLogisticdRegression,dthedrelationshipdbetweendthedprobabilitydofdsuccessdanddt
hedpredictingdvariablesdisdnon-linear.
Falsed-dIndlogisticdregression,dtheredarednoderrordterms.d-
dans✔✔IndLogisticdRegression,dthederrordtermsdfollowdadnormalddistribution.
Trued-dthedlogitdfunctiondisdalsodknowndasdthedlog-oddsdfunction,dwhichdisdthedln(P/1-p).d-
dans✔✔Thedlogitdfunctiondisdthedlogdofdthedratiodofdthedprobabilitydofdsuccessdtodthedproba
bilitydofdfailuredanddisdalsodknowndasdthedlog-oddsdfunction.
Falsed-
dAsdtheredisdnoderrordtermdindlogisticdregression,dtheredisdnodadditionaldparameterdfordthedv
ariancedofdthederrordterms.d-
dans✔✔Thednumberdofdparametersdthatdneeddtodbedestimateddindadlogisticdregressiondmo
deldwithd6dpredictingdvariablesdanddandinterceptdisdthedsamedasdthednumberdofdparameter
sdthatdneeddtodbedestimateddindadstandarddlineardregressiondmodeldwithdandinterceptdandd
samedpredictingdvariables.
Falsed-dlog-likelihooddisdadnon-
lineardfunction,danddadnumericaldalgorithmdisdneededdindorderdtodmaximizedit.d-
dans✔✔Thedlog-likelihooddfunctiondisdadlineardfunctiondwithdadcloseddformdsolution.
Falsed-
dWedinterpretdlogisticdregressiondcoefficientsdwithdrespectdtodthedoddsdofdsuccess.d-
dans✔✔IndLogisticdRegression,dthedestimateddvaluedfordadregressiondcoefficientdBdrepres
entsdthedestimateddexpecteddchangedindthedresponsedvariabledassociateddwithdadonedunit
dincreasedindthedpredictingdvariable,dholdingdalldelsedfixed.
, Falsed-dThedcoefficientdestimatordfollowsdandapproximatednormalddistribution.d-
dans✔✔Underdlogisticdregression,dthedsamplingddistributionduseddfordadcoefficientdestimat
ordisdadchi-squareddistributiondwhendthedsampledsizedisdlarge.
Falsed-dwhendtestingdadsubsetdofdcoefficients,ddeviancedfollowsdadchi-
squareddistributiondwithdqddegreesdofdfreedom,dwheredqdisdthednumberdofdregressiondcoeff
icientsddiscardeddfromdthedfulldmodeldtodgetdthedreduceddmodel.d-
dans✔✔Whendtestingdadsubsetdofdcoefficients,ddeviancedfollowsdadchi-
squareddistributiondwithdqddegreesdofdfreedom,dwheredqdisdthednumberdofdregressiondcoeff
icientsdindthedreduceddmodel.
Trued-
dlogisticdregressiondisdthedgeneralizationdofdthedstandarddregressiondmodeldthatdisduseddw
hendthedresponsedvariabledydisdbinarydordbinomial.d-
dans✔✔Logisticdregressionddealsdwithdthedcasedwheredtheddependentdvariabledisdbinaryd
anddthedconditionalddistributiondisdbinomial.
Falsed-dThedresidualsdcandonlydbeddefineddfordlogisticdregressiondwithdreplications.d-
dans✔✔Itdisdgooddpracticedtodperformdadgoodness-of-
fitdtestdondlogisticdregressiondmodelsdwithoutdreplications.
Falsed-dfordlogisticdregression,difdthedp-
valuedofdtheddeviancedtestdfordGODdisdlarge,dthendthedmodeldisdadgooddfit.d-
dans✔✔IndLogisticdregression,difdthedp-
valuedofdtheddeviancedtestdfordGOFdisdsmallerdthandthedsignificancedleveldalpha,dthendisdisd
plausibledthatdthedmodeldisdadgooddfit.
Falsed-dGOFdisdnodguaranteedfordgooddpredictiondanddvice-versa.d-
dans✔✔Ifdadlogisticdregressiondmodeldprovidesdaccuratedclassification,dthendwedcandconcl
udedthatditdisdadgooddfirdfordtheddata.
Trued-
dtheddeviancedresidualsdaredapproximatelydN(0,1)difdthedmodeldisdadgooddfitdtodtheddata.d-
dans✔✔FordbothdlogisticdregressiondanddPoissondregression,dtheddeviancedresidualsdsho
ulddfollowdandapproximatedstandarddnormalddistributiondifdthedmodeldisdadgooddfitdfordthedd
ata.
Falsed-
dans✔✔Thedlogitdlinkdfunctiondisdthedbestdlinkdfunctiondtodmodeldbinarydresponseddatadbe
causeditdalwaysdfitsdtheddatadbetterdthandotherdlinkdfunctions.
Trued-
dwedcandusedthedPearsondorddeviancedresiduals,dbutdonlydifdthedmodeldhasdreplications.d-
dans✔✔Althoughdtheredarednoderrordtermsdindlogisticdregressiondmodeldusingdbinaryddatad
withdreplications,dwedcandstilldperformdresidualdanalysis.
AND VERIFIED ANSWERS 2024
Trued-dThedrelationshipdthatdlinksdthedpredictorsdisdhighlydnon-linear.d-
dans✔✔IndLogisticdRegression,dthedrelationshipdbetweendthedprobabilitydofdsuccessdanddt
hedpredictingdvariablesdisdnon-linear.
Falsed-dIndlogisticdregression,dtheredarednoderrordterms.d-
dans✔✔IndLogisticdRegression,dthederrordtermsdfollowdadnormalddistribution.
Trued-dthedlogitdfunctiondisdalsodknowndasdthedlog-oddsdfunction,dwhichdisdthedln(P/1-p).d-
dans✔✔Thedlogitdfunctiondisdthedlogdofdthedratiodofdthedprobabilitydofdsuccessdtodthedproba
bilitydofdfailuredanddisdalsodknowndasdthedlog-oddsdfunction.
Falsed-
dAsdtheredisdnoderrordtermdindlogisticdregression,dtheredisdnodadditionaldparameterdfordthedv
ariancedofdthederrordterms.d-
dans✔✔Thednumberdofdparametersdthatdneeddtodbedestimateddindadlogisticdregressiondmo
deldwithd6dpredictingdvariablesdanddandinterceptdisdthedsamedasdthednumberdofdparameter
sdthatdneeddtodbedestimateddindadstandarddlineardregressiondmodeldwithdandinterceptdandd
samedpredictingdvariables.
Falsed-dlog-likelihooddisdadnon-
lineardfunction,danddadnumericaldalgorithmdisdneededdindorderdtodmaximizedit.d-
dans✔✔Thedlog-likelihooddfunctiondisdadlineardfunctiondwithdadcloseddformdsolution.
Falsed-
dWedinterpretdlogisticdregressiondcoefficientsdwithdrespectdtodthedoddsdofdsuccess.d-
dans✔✔IndLogisticdRegression,dthedestimateddvaluedfordadregressiondcoefficientdBdrepres
entsdthedestimateddexpecteddchangedindthedresponsedvariabledassociateddwithdadonedunit
dincreasedindthedpredictingdvariable,dholdingdalldelsedfixed.
, Falsed-dThedcoefficientdestimatordfollowsdandapproximatednormalddistribution.d-
dans✔✔Underdlogisticdregression,dthedsamplingddistributionduseddfordadcoefficientdestimat
ordisdadchi-squareddistributiondwhendthedsampledsizedisdlarge.
Falsed-dwhendtestingdadsubsetdofdcoefficients,ddeviancedfollowsdadchi-
squareddistributiondwithdqddegreesdofdfreedom,dwheredqdisdthednumberdofdregressiondcoeff
icientsddiscardeddfromdthedfulldmodeldtodgetdthedreduceddmodel.d-
dans✔✔Whendtestingdadsubsetdofdcoefficients,ddeviancedfollowsdadchi-
squareddistributiondwithdqddegreesdofdfreedom,dwheredqdisdthednumberdofdregressiondcoeff
icientsdindthedreduceddmodel.
Trued-
dlogisticdregressiondisdthedgeneralizationdofdthedstandarddregressiondmodeldthatdisduseddw
hendthedresponsedvariabledydisdbinarydordbinomial.d-
dans✔✔Logisticdregressionddealsdwithdthedcasedwheredtheddependentdvariabledisdbinaryd
anddthedconditionalddistributiondisdbinomial.
Falsed-dThedresidualsdcandonlydbeddefineddfordlogisticdregressiondwithdreplications.d-
dans✔✔Itdisdgooddpracticedtodperformdadgoodness-of-
fitdtestdondlogisticdregressiondmodelsdwithoutdreplications.
Falsed-dfordlogisticdregression,difdthedp-
valuedofdtheddeviancedtestdfordGODdisdlarge,dthendthedmodeldisdadgooddfit.d-
dans✔✔IndLogisticdregression,difdthedp-
valuedofdtheddeviancedtestdfordGOFdisdsmallerdthandthedsignificancedleveldalpha,dthendisdisd
plausibledthatdthedmodeldisdadgooddfit.
Falsed-dGOFdisdnodguaranteedfordgooddpredictiondanddvice-versa.d-
dans✔✔Ifdadlogisticdregressiondmodeldprovidesdaccuratedclassification,dthendwedcandconcl
udedthatditdisdadgooddfirdfordtheddata.
Trued-
dtheddeviancedresidualsdaredapproximatelydN(0,1)difdthedmodeldisdadgooddfitdtodtheddata.d-
dans✔✔FordbothdlogisticdregressiondanddPoissondregression,dtheddeviancedresidualsdsho
ulddfollowdandapproximatedstandarddnormalddistributiondifdthedmodeldisdadgooddfitdfordthedd
ata.
Falsed-
dans✔✔Thedlogitdlinkdfunctiondisdthedbestdlinkdfunctiondtodmodeldbinarydresponseddatadbe
causeditdalwaysdfitsdtheddatadbetterdthandotherdlinkdfunctions.
Trued-
dwedcandusedthedPearsondorddeviancedresiduals,dbutdonlydifdthedmodeldhasdreplications.d-
dans✔✔Althoughdtheredarednoderrordtermsdindlogisticdregressiondmodeldusingdbinaryddatad
withdreplications,dwedcandstilldperformdresidualdanalysis.
