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ISYE 6414 - MIDTERM 1 PREP QUESTIONS AND VERIFIED ANSWERS 2024
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ISYE 6414 - MIDTERM 1 PREP QUESTIONS AND VERIFIED ANSWERS 2024
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ISYE 6414 MIDTERM PREP QUESTIONSAND VERIFIED ANSWERS 2024
Wevcanvassessvthevconstantvvariancevassumptionvinvlinearvregressionvbyvplottingvthevresi
dualsvvs.vfittedvvalues.v-vans✔✔True
IfvonevconfidencevintervalvinvthevpairwisevcomparisonvinvANOVAvincludesvzero,vwevconclu
devthatvthevtwovcorrespondingvmeansvarevplausiblyvequal.v-vans✔✔True
Thevassumptionvofvnormalityvisvnotvrequiredvinvlinearvregressionvtovmakevinferencevonvthe
vregressionvcoefficients.v-vans✔✔Falsev(Explanation:visvrequired)
Wevcannotvestimatevavmultiplevlinearvregressionvmodelvifvthevpredictingvvariablesvarevline
arlyvindependent.v-vans✔✔Falsev(Explanation:vlinearlyvdependent)
Ifvavpredictingvvariablevisvavcategoricalvvariablevwithv5vcategoriesvinvavlinearvregressionvm
odelvwithoutvintercept,vwevwillvincludev5vdummyvvariables.v-vans✔✔True
Ifvthevnormalityvassumptionvdoesvnotvholdvforvavregression,vwevmayvusevavtransformationv
onvthevresponsevvariable.v-vans✔✔True
Thevpredictionvofvthevresponsevvariablevhasvhighervuncertaintyvthanvthevestimationvofvthev
meanvresponse.v-vans✔✔True
Statisticalvinferencevforvlinearvregressionvundervnormalityvreliesvonvlargevsamplevsize.v-
vans✔✔Falsev(Explanation:vsmallvsamplevsizevisvfine)
Avnonlinearvrelationshipvbetweenvthevresponsevvariablevandvavpredictingvvariablevcannotv
bevmodeledvusingvregression.v-
, ans✔✔Falsev(Explanation:vNonlinearvrelationshipsvcanvoftenvbevmodeledvusingvlinearvre
v
gressionvbyvincludingvpolynomialvtermsvofvthevpredictingvvariable,vforvexample.)
Assumptionvofvnormalityvinvlinearvregressionvisvrequiredvforvconfidencevintervals,vpredictio
nvintervals,vandvhypothesisvtesting.v-vans✔✔True
Ifvthevconfidencevintervalvforvavregressionvcoefficientvcontainsvthevvaluevzero,vwevinterpret
vthatvthevregressionvcoefficientvisvplausiblyvequalvtovzero.v-vans✔✔True
ThevsmallervthevcoefficientvofvdeterminationvorvR-
squared,vthevhighervthevvariabilityvexplainedvbythevsimplevlinearvregression.v-
vans✔✔Falsev(Explanation:vThevlargervthevR-squared)
Thevestimatorsvofvthevvariancevparametervandvofvthevregressionvcoefficientsvinvavregressi
onvmodelvarevrandomvvariables.v-vans✔✔True
Thevstandardverrorvinvlinearvregressionvindicatesvhowvfarvthevdatavpointsvarevfromvthevregr
essionvline,vonvaverage.v-vans✔✔True
AvlinearvregressionvmodelvisvavgoodvfitvtovthevdatavsetvifvthevR-squaredvisvabovev0.90.v-
vans✔✔Falsev(Explanation:vTherevarevothervthingsvtovcheck:vassumptions,vMSE,vetc.)
InvANOVA,vwevassumevthevvariancevofvthevresponsevvariablevisvdifferentvforveachvpopulat
ion.v-vans✔✔Falsev(Explanation:visvthevsamevacrossvallvpopulations)
ThevF-testvinvANOVAvcomparesvthevbetweenvvariabilityvversusvthevwithinvvariability.v-
vans✔✔True
Invtestingvforvsubsetsvofvcoefficientsvinvavmultiplevlinearvregression,vthevnullvhypothesisvwe
vtest
forvisvthatvallvcoefficientsvarevequal;
H_0:vB_1v=vB_2v=v...v=vB_kfv-
vans✔✔Falsev(Explanation:vThevnullvhypothesisvisvthatvallvcoefficientsvarevequalvtovzero;vn
onevarevsignificantvinvpredictingvthevresponse.)
Thevonlyvassumptionsvforvavsimplevlinearvregressionvmodelvarevlinearity,vconstantvvarianc
e,vandvnormality.v-vans✔✔False
Invavsimplevlinearvregressionvmodel,vthevvariablevofvinterestvisvthevresponsevvariable.v-
vans✔✔True
Thevconstantvvariancevassumptionvisvdiagnosedvbyvplottingvthevpredictingvvariablevvs.vthe
vresponsevvariable.v-vans✔✔False
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