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ISYE 6414 - UNIT 1 FLASHCARDS QUESTIONS AND 100% CORRECT ANSWERS 2024
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ISYE 6414 - UNIT 1 FLASHCARDS QUESTIONS AND 100% CORRECT ANSWERS 2024
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ISYE 6414 - UNIT 1 FLASHCARDSQUESTIONS AND 100% CORRECT
ANSWERS 2024
responseR(dependent)RvariablesR-
RANSWERRoneRparticularRvariableRthatRweRareRinterestedRinRunderstandingRorRmodelingR(y)
predictingRorRexplanatoryR(independent)RvariablesR-
RANSWERRaRsetRofRotherRvariablesRthatRmightRbeRusefulRinRpredictingRorRmodelingRtheRresponseRvariableR(x
1,Rx2)
WhatRkindRofRvariableRisRaRresponseRvariableRandRwhy?R-
RANSWERRrandom,RbecauseRitRvariesRwithRchangesRinRtheRpredictor/sRalongRwithRotherRrandomRchanges.
WhatRkindRofRvariableRisRaRpredictingRvariableRandRwhy?R-
RANSWERRfixed,RbecauseRitRdoesRnotRchangeRwithRtheRresponseRbutRitRisRfixedRbeforeRtheRresponseRisRmeas
ured.
linearRrelationshipR-RANSWERRaRsimpleRdeterministicRrelationshipRbetweenR2Rfactors,RxRandRy
whatRareRthreeRthingsRthatRaRregressionRanalysisRisRusedRfor?R-
RANSWERR1.RPredictionRofRtheRresponseRvariable,R2.RModelingRtheRrelationshipRbetweenRtheRresponseRand
RexplanatoryRvariables,R3.RTestingRhypothesesRofRassociationRrelationships
B0R=R?R-RANSWERRintercept
B1R=R?R-RANSWERRslope
forRourRlinearRmodelRwhere:RYR=RB0R+RB1R+REPSILONR(E),RwhatRdoesRtheRepsilonRrepresent?R-
RANSWERRdevianceRofRtheRdataRfromRtheRlinearRmodelR(errorRterm)
whatRareRtheR4RassumptionsRofRlinearRregression?R-
RANSWERRLinearity/MeanRZero,RConstantRVariance,RIndependence,RNormality
, Linearity/MeanRzeroRassumptionR-
RANSWERRMeansRthatRtheRexpectedRvalueR(deviances)RofRerrorsRisRzero.RThisRleadsRtoRdifficultiesRinRestimat
ingRB0RandRmeansRthatRourRmodelRdoesRnotRincludeRaRnecessaryRsystematicRcomponent
ConstantRvarianceRassumptionR-
RANSWERRMeansRthatRitRcannotRbeRtrueRthatRtheRmodelRisRmoreRaccurateRforRsomeRpartsRofRtheRpopulatio
n,RandRlessRaccurateRforRotherRpartsRofRtheRpopulations.RThisRcanRresultRinRlessRaccurateRparametersRandRp
oorly-calibratedRpredictionRintervals.
AssumptionRofRIndependenceR-
RANSWERRMeansRthatRtheRdeviances,RorRinRfactRtheRresponseRvariablesRys,RareRindependentlyRdrawnRfromR
theRdata-
generatingRprocess.R(thisRmostRoftenRoccursRinRtimeRseriesRdata)RThisRcanRresultRinRveryRmisleadingRassess
mentsRofRtheRstrengthRofRregression.
NormalityRassumptionR-
RANSWERRThisRisRneededRifRweRwantRtoRdoRanyRconfidenceRorRpredictionRintervals,RorRhypothesisRtest,Rwhi
chRweRusuallyRdo.RIfRthisRassumptionRisRviolated,RhypothesisRtestRandRconfidenceRandRpredictionRintervalsR
andRbeRveryRmisleading.
whatRareRtheR3RparametersRweRestimatedRinRregression?R-
RANSWERRB0,RB1,RsigmaRsquaredR(varianceRofRtheRoneRpop.)
WhatRdoRweRmeanRbyRmodelRparametersRinRstatistics?R-
RANSWERRModelRparametersRareRunknownRquantities,RandRtheyRstayRunknownRregardlessRhowRmuchRdata
RareRobserved.RWeRestimateRthoseRparametersRgivenRtheRmodelRassumptionsRandRtheRdata,RbutRthroughRe
stimation,Rwe'reRnotRidentifyingRtheRtrueRparameters.RWe'reRjustRestimatingRapproximationsRofRthoseRpar
ameters.
WhatRisRtheRestimatedRsamplingRdistributionRofRs^2?R-RANSWERRchi-squareRwithRn-1RDF
WhyRdoRweRloseR1RDFRforRs^2?R-RANSWERRweRreplaceRmuRwithRzbar
whatRisRtheRrelationshipRbetweenRs^2RandRsigma^2?R-RANSWERRS^2RestimatesRsigma^2
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