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ISYE 6414 - UNIT 2 FLASHCARDS QUESTIONS AND 100% CORRECT ANSWERS 2024
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ISYE 6414 - UNIT 2 FLASHCARDS QUESTIONS AND 100% CORRECT ANSWERS 2024
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ISYE 6414 - UNIT 2 FLASHCARDSQUESTIONS AND 100% CORRECT
ANSWERS 2024
WhatUareUtheUassumptionsUforUmultipleUlinearUregression?U-
UANSWERULinearity/MeanUzeroUassumption,UConstantUVariance,UIndependenceUandUNormalityU(forUstatist
icalUinference)
whatUareUtheUmodelUparametersUtoUbeUestimatedUinUMLR?U-UANSWERUB0U(intercept),UB1-
Bp,UandUsigmaUsquared
InUmultipleUlinearUregression,UtheUmodelUcanUbeUwrittenUin...?U-UANSWERUMatrixUform.
designUmatrixU-
UANSWERUaUmatrixUconsistingUofUcolumnsUofUpredictingUvariablesUincludingUtheUcolumnUofUonesUcorrespo
ndingUtoUtheUintercept:
simpleUlinearUregressionU-UANSWERUlinearUregressionUwithUoneUquantitativeUpredictingUvariable
ANOVAU-UANSWERUlinearUregressionUwithUoneUorUmoreUqualitativeUpredictingUvariables
MultipleUlinearUregressionU-UANSWERUmultipleUquantitativeUandUqualitativeUpredictingUvariables
inUMLR,UtheUsamplingUdistributionUforUsigma^2UisUMSEU.....U-UANSWERUchi-squareUwithUn-p-1UDF
marginalUmodelU(SLR)U-
UANSWERUcapturesUtheUassociationUofUoneUpredictingUvariableUtoUtheUresponseUvariableUmarginally,UthatU
meansUwithoutUconsiderationUofUotherUfactors.
conditionalUmodelU(MLR)U-
UANSWERUcapturesUtheUassociationUofUaUpredictorUvariableUtoUtheUresponseUvariable,UconditionalUofUothe
rUpredictingUvariablesUinUtheUmodel.
, WeUcanUmakeUcausalityUstatementsUfor...U-UANSWERUexperimentalUdesigns
WeUcanUmakeUassociatedUstatementsUfor...U-UANSWERUobservationalUstudies
3UwaysUPredictingUVariablesUcanUbeUdistinguishedUas:U-UANSWERUControlling,UExplanatory,UPredictive
ControllingUfactorsU-
UANSWERUtoUcontrolUforUbiasUselectionUinUtheUsample.UTheyUareUusedUasU'default'UvariablesUinUorderUtoUca
ptureUmoreUmeaningfulUrelationships.
ExplanatoryUfactorsU-
UANSWERUtoUexplainUvariabilityUinUtheUresponseUvariable;UtheyUmayUbeUincludedUinUtheUmodelUevenUifUoth
erU"similar"UvariablesUareUinUtheUmodel
PredictiveUfactorsU-
UANSWERUtoUbestUpredictUvariabilityUinUtheUresponseUregardlessUofUtheirUexplanatoryUpower
TheUobjectiveUofUmultipleUlinearUregressionUis:
A)UToUpredictUfutureUnewUresponses
B)UToUmodelUtheUassociationUofUexplanatoryUvariablesUtoUaUresponseUvariableUaccountingUforUcontrollingUf
actors.
C)UToUtestUhypothesesUusingUstatisticalUinferenceUonUtheUmodel.
D)UAllUofUtheUabove.U-UANSWERUD
2.UWhichUisUcorrect?
A)UAUmultipleUlinearUregressionUmodelUwithUpUpredictingUvariablesUbutUnoUinterceptUhasUpUmodelUparame
ters.
B)UTheUinterpretationUofUtheUregressionUcoefficientsUisUtheUsameUwhetherUorUnotUinteractionUtermsUareUin
cludedUinUtheUmodel.
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