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ISYE 6414 - MIDTERM 1 PREP QUESTIONS AND 100% CORRECT ANSWERS 2024

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ISYE 6414 - MIDTERM 1 PREP QUESTIONS AND 100% CORRECT ANSWERS 2024

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ISYE 6414

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ISYE 6414

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Institution: ISYE 6414
Course: ISYE 6414

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Uploaded on: September 7, 2024
Number of pages: 22
Written in: 2024/2025
Type: Exam (elaborations)
Contains: Questions & answers

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isye 6414 midterm 1 prep questions and 100 corr

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ISYE 6414 - MIDTERM 1 PREP
QUESTIONS AND 100% CORRECT
ANSWERS 2024
IfPλ=1P-PANSWERPwePdoPnotPtransform

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e,PorPwithPotherPchangesPinPthePenvironment

fixedP-PANSWERPThePpredictingPvariablePisPaP___Pvariable.PItPisPsetPfixed,PbeforePthePresponsePisPmeasured.

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β1P-PANSWERPslopePparameterP(slopePofPthePlinePweParePtryingPtoPfit)

epsilonP(ε)P-PANSWERPisPthePdeviancePofPthePdataPfromPthePlinearPmodel

toPfindPβ0PandPβ1P-
PANSWERPtoPfindPthePlinePthatPdescribesPaPlinearPrelationship,PsuchPthatPwePfitPthisPmodel.

simplePlinearPregressionPdataPstructureP-
PANSWERPpairsPofPdataPconsistingPofPaPvaluePforPthePresponsePvariable,andPaPvaluePforPthePpredictingPvaria

ble.PAndPwePhavePnPsuchPpairs

modelingPframeworkPforPthePsimplePlinearPregression:P-PANSWERP1)PidentifyingPdataPstructure

2)PclearlyPstatingPthePmodelPassumptions

linearPregressionPassumptionsP-PANSWERP1)Plinearity

, 2)PconstantPvariancePassumption

3)PindependencePassumption

linearityPassumptionP-
PANSWERPmeanPzeroPassumption,PmeansPthatPthePexpectedPvaluePofPthePerrorsPisPzero.

APviolationPofPthisPassumptionPwillPleadPtoPdifficultiesPinPestimatingPβ0,PandPmeansPthatPyourPmodelPdoesP
notPincludePaPnecessaryPsystematicPcomponent.

constantPvariancePassumptionP-
PANSWERPwhichPmeansPthatPthePvarianceP(σ^2)PofPthePerrorPtermsPorPdeviancesPisPconstantPforPthePgivenP

population.PAPviolationPofPthisPassumptionPmeansPthatPthePestimatesParePnotPasPefficientPasPtheyPcouldPbeP
inPestimatingPthePtruePparameters

IndependencePAssumptionP-
PANSWERPwhichPmeansPthatPthePdeviancesParePindependentPrandomPvariables.

ViolationPofPthisPassumptionPcanPleadPtoPmisleadingPassessmentsPofPthePstrengthPofPthePregression.

normalityPassumptionP-
PANSWERPerrorsP(ε)ParePnormallyPdistributed.PThisPisPneededPforPstatisticalPinference,PforPexample,Pconfide

ncePorPpredictionPintervals,PandPhypothesisPtesting.PIfPthisPassumptionPisPviolated,PhypothesisPtestsPandPco
nfidencePandPpredictionPintervalsPcanPbePmisleading.v

thirdPparameterP-PANSWERPthePvariancePofPthePerrorPtermsP(σ^2)

OnePapproachPisPtoPminimizePthePsumPofPsquaredPresidualsPorPerrorsPwithPrespectPtoPβ0PandPβ1.PThisPtrans
latedPintoPfindingPthePlinePsuchPthatPthePtotalPsquaredPdeviancesPfromPthePlinePisPminimum.P-
PANSWERPHowPcanPwePgetPestimatesPofPthePregressionPcoefficientsPorPparametersPinPlinear

regressionPanalysis?

fittedPvaluesP-PANSWERPtoPbePthePregressionPlinePwherePthePparametersParePreplaced

byPthePestimatedPvaluesPofPthePparameters.

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ISYE 6414 - MIDTERM 1 PREP QUESTIONS AND 100% CORRECT ANSWERS 2024

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