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ISYE 6414 MIDTERM PREP QUESTIONS AND VERIFIED ANSWERS 2024 $11.99   Add to cart

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ISYE 6414 MIDTERM PREP QUESTIONS AND VERIFIED ANSWERS 2024

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ISYE 6414 MIDTERM PREP QUESTIONS AND VERIFIED ANSWERS 2024

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  • September 7, 2024
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  • 2024/2025
  • Exam (elaborations)
  • Questions & answers
  • ISYE 6414
  • ISYE 6414
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ISYE 6414 MIDTERM, SUMMER 2021


Thedpredictiondintervaldofdonedmemberdofdthedpopulationdwilldalwaysdbedlargerdthandthedc
onfidencedintervaldofdthedmeandresponsedfordalldmembersdofdthedpopulationdwhendusingdt
hedsamedpredictingdvalues.d-dans✔✔true

Seed1.7dRegressiondLine:dEstimationd&dPredictiondExamples
"Justdtodwrapdupdthedcomparison,dthedconfidencedintervalsdunderdestimationdarednarrower
dthandthedpredictiondintervalsdbecausedthedpredictiondintervalsdhavedadditionaldvariancedfr

omdthedvariationdofdadnewdmeasurement."

IndANOVA,dthedlinearitydassumptiondisdassesseddusingdadplotdofdthedresponsedagainstdthe
dpredictingdvariable.d-dans✔✔false



Seed2.2.dEstimationdMethod
LinearitydisdnotdandassumptiondofdANOVA.

Ifdthedmodeldassumptionsdhold,dthendthedestimatordfordthedvariance,dσd^d2,disdadrandomdva
riable.d-dans✔✔true

Seed1.8dStatisticaldInference
Wedassumedthatdthederrordtermsdaredindependentdrandomdvariables.dTherefore,dthedresid
ualsdaredindependentdrandomdvariables.dSincedσd^d2disdadcombinationdofdthedresiduals,ditdi
sdalsodadrandomdvariable.

ThedmeandsumdofdsquaredderrorsdindANOVAdmeasuresdvariabilitydwithindgroups.d-
dans✔✔true



Seed2.4dTestdfordEqualdMeans
MSEd=dwithin-groupdvariability

Thedsimpledlineardregressiondcoefficient,dβd^d0,disduseddtodmeasuredthedlineardrelationship
dbetweendthedpredictingdanddresponsedvariables.d-dans✔✔false



Seed1.2dEstimationdMethod
βd^d0disdthedinterceptdandddoesdnotdtelldusdaboutdthedrelationshipdbetweendthedpredictingda
nddresponsedvariables.

,Thedsamplingddistributiondfordthedvariancedestimatordindsimpledlineardregressiondisdχd2d(ch
i-squared)dregardlessdofdthedassumptionsdofdtheddata.d-dans✔✔false

Seed1.2dEstimationdMethod
"Thedsamplingddistributiondofdthedestimatordofdthedvariancedisdchi-squared,dwithdnd-
d2ddegreesdofdfreedomd(moredondthisdindadmoment).dThisdisdunderdthedassumptiondofdnor

malitydofdthederrordterms."

βd^d1disdandunbiaseddestimatordfordβd0.d-dans✔✔False

Seed1.4dStatisticaldInference
"Whatdthatdmeansdisdthatdβd^d1disdandunbiaseddestimatordfordβd1."dItdisdnotdandunbiaseddes
timatordfordβd0.

IfdthedpairwisedcomparisondintervaldbetweendgroupsdindandANOVAdmodeldincludesdzero,d
wedconcludedthatdthedtwodmeansdaredplausiblydequal.d-dans✔✔true

Seed2.8dDatadExample
Ifdthedcomparisondintervaldincludesdzero,dthendthedtwodmeansdarednotdstatisticallydsignific
antlyddifferent,danddaredthus,dplausiblydequal.

Underdthednormalitydassumption,dthedestimatordfordβd1disdadlineardcombinationdofdnormall
yddistributeddrandomdvariables.d-dans✔✔true

Seed1.4dStatisticaldInference
"Underdthednormalitydassumption,dβd1disdthusdadlineardcombinationdofdnormallyddistributed
drandomdvariables...dβd^d0disdalsodlineardcombinationdofdrandomdvariables"



AndANOVAdmodeldwithdadsingledqualitativedpredictingdvariabledcontainingdkdgroupsdwilldha
vedkd+d1dparametersdtodestimate.d-dans✔✔true

Seed2.2dEstimationdMethod
Wedhavedtodestimatedthedmeansdofdthedkdgroupsdanddthedpooleddvariancedestimator,dsdpd
ododldeddd2.

Indsimpledlineardregressiondmodels,dwedlosedthreeddegreesdofdfreedomdwhendestimatingdt
hedvariancedbecausedofdthedestimationdofdthedthreedmodeldparametersdβd0d,dβd1d,dσd2.d-
dans✔✔false



Seed1.2dEstimationdMethod
"Thedestimatordfordσd2disdσd^d2,danddisdthedsumdofdthedsquareddresiduals,ddivideddbydnd-
d2."

, Thedpooleddvariancedestimator,dsdpdododldeddd2,dindANOVAdisdsynonymousdwithdthedvarian
cedestimator,dσd^d2,dindsimpledlineardregressiondbecausedtheydbothdusedmeandsquaredderr
ord(MSE)dfordtheirdcalculations.d-dans✔✔true

Seed1.2dEstimationdMethoddfordsimpledlineardregression
Seed2.2dEstimationdMethoddfordANOVA
Thedpooleddvariancedestimatordis,dindfact,dthedvariancedestimator.

Thednormalitydassumptiondstatesdthatdthedresponsedvariabledisdnormallyddistributed.d-
dans✔✔false



Seed1.8dDiagnostics
"Normalitydassumption:dthederrordtermsdarednormallyddistributed."
Thedresponsedmaydordmaydnotdbednormallyddistributed,dbutdthederrordtermsdaredassumedd
todbednormallyddistributed.

IfdthedconstantdvariancedassumptiondindANOVAddoesdnotdhold,dthedinferencedondthedequa
litydofdthedmeansdwilldnotdbedreliable.d-dans✔✔true

Seed2.8dDatadExample
"Thisdisdimportantdsincedwithoutdadgooddfit,dwedcannotdrelydondthedstatisticaldinference."
Onlydwhendthedmodeldisdadgooddfit,di.e.dalldmodeldassumptionsdhold,dcandwedrelydondthedst
atisticaldinference.

Adnegativedvaluedofdβd1disdconsistentdwithdandinversedrelationshipdbetweendthedpredictord
variabledanddthedresponsedvariable.d-dans✔✔true

Seed1.2dEstimationdMethod
"Adnegativedvaluedofdβd1disdconsistentdwithdandinversedrelationship"

Thedp-valuedisdadmeasuredofdthedprobabilitydofdrejectingdthednulldhypothesis.d-
dans✔✔false



Seed1.5dStatisticaldInferencedDatadExample
"p-
valuedisdadmeasuredofdhowdrejectabledthednulldhypothesisdis...dIt'sdnotdthedprobabilitydofdrej
ectingdthednulldhypothesis,dnordisditdthedprobabilitydthatdthednulldhypothesisdisdtrue."

Wedassessdthedconstantdvariancedassumptiondbydplottingdthederrordterms,dϵdi,dagainstdfitte
ddvalues.d-dans✔✔false

Seed1.2dEstimationdMethod
"Wedusedϵd^didasdproxiesdfordtheddeviancesdordthederrordterms.dWeddon'tdhavedtheddevianc
esdbecausedweddon'tdhavedβd0danddβd1.

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