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ISYE 6414 Midterm, Summer 2021 Questions And Answers.
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  • 7 de septiembre de 2024
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  • 2024/2025
  • Examen
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  • isye 6414 midterm summer 2021 questions and answe

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  • ISYE 6414
  • ISYE 6414

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ISYE 6414 Midterm, Summer 2021
Questions And Answers


The iprediction iinterval iof ione imember iof ithe ipopulation iwill ialways ibe ilarger ithan ithe iconfidence
iinterval iof ithe imean iresponse ifor iall imembers iof ithe ipopulation iwhen iusing ithe isame ipredicting
ivalues. i- i(correct ianswer) i-true




See i1.7 iRegression iLine: iEstimation i& iPrediction iExamples

"Just ito iwrap iup ithe icomparison, ithe iconfidence iintervals iunder iestimation iare inarrower ithan ithe
iprediction iintervals ibecause ithe iprediction iintervals ihave iadditional ivariance ifrom ithe ivariation iof ia
inew imeasurement."


In iANOVA, ithe ilinearity iassumption iis iassessed iusing ia iplot iof ithe iresponse iagainst ithe ipredicting
ivariable. i- i(correct ianswer) i-false




See i2.2. iEstimation iMethod

Linearity iis inot ian iassumption iof iANOVA.

If ithe imodel iassumptions ihold, ithen ithe iestimator ifor ithe ivariance, iσ i^ i2, iis ia irandom ivariable. i-
i(correct ianswer) i-true




See i1.8 iStatistical iInference

We iassume ithat ithe ierror iterms iare iindependent irandom ivariables. iTherefore, ithe iresiduals iare
iindependent irandom ivariables. iSince iσ i^ i2 iis ia icombination iof ithe iresiduals, iit iis ialso ia irandom
ivariable.


The imean isum iof isquared ierrors iin iANOVA imeasures ivariability iwithin igroups. i- i(correct ianswer) i-
true

,See i2.4 iTest ifor iEqual iMeans

MSE i= iwithin-group ivariability

The isimple ilinear iregression icoefficient, iβ i^ i0, iis iused ito imeasure ithe ilinear irelationship ibetween
ithe ipredicting iand iresponse ivariables. i- i(correct ianswer) i-false




See i1.2 iEstimation iMethod

β i^ i0 iis ithe iintercept iand idoes inot itell ius iabout ithe irelationship ibetween ithe ipredicting iand
iresponse ivariables.


The isampling idistribution ifor ithe ivariance iestimator iin isimple ilinear iregression iis iχ i2 i(chi-squared)
iregardless iof ithe iassumptions iof ithe idata. i- i(correct ianswer) i-false




See i1.2 iEstimation iMethod

"The isampling idistribution iof ithe iestimator iof ithe ivariance iis ichi-squared, iwith in i- i2 idegrees iof
ifreedom i(more ion ithis iin ia imoment). iThis iis iunder ithe iassumption iof inormality iof ithe ierror iterms."


β i^ i1 iis ian iunbiased iestimator ifor iβ i0. i- i(correct ianswer) i-False



See i1.4 iStatistical iInference

"What ithat imeans iis ithat iβ i^ i1 iis ian iunbiased iestimator ifor iβ i1." iIt iis inot ian iunbiased iestimator ifor
iβ i0.


If ithe ipairwise icomparison iinterval ibetween igroups iin ian iANOVA imodel iincludes izero, iwe iconclude
ithat ithe itwo imeans iare iplausibly iequal. i- i(correct ianswer) i-true




See i2.8 iData iExample

If ithe icomparison iinterval iincludes izero, ithen ithe itwo imeans iare inot istatistically isignificantly
idifferent, iand iare ithus, iplausibly iequal.


Under ithe inormality iassumption, ithe iestimator ifor iβ i1 iis ia ilinear icombination iof inormally
idistributed irandom ivariables. i- i(correct ianswer) i-true




See i1.4 iStatistical iInference

, "Under ithe inormality iassumption, iβ i1 iis ithus ia ilinear icombination iof inormally idistributed irandom
ivariables... iβ i^ i0 iis ialso ilinear icombination iof irandom ivariables"


An iANOVA imodel iwith ia isingle iqualitative ipredicting ivariable icontaining ik igroups iwill ihave ik i+ i1
iparameters ito iestimate. i- i(correct ianswer) i-true




See i2.2 iEstimation iMethod

We ihave ito iestimate ithe imeans iof ithe ik igroups iand ithe ipooled ivariance iestimator, is ip io io il ie id i2.

In isimple ilinear iregression imodels, iwe ilose ithree idegrees iof ifreedom iwhen iestimating ithe ivariance
ibecause iof ithe iestimation iof ithe ithree imodel iparameters iβ i0 i, iβ i1 i, iσ i2. i- i(correct ianswer) i-false




See i1.2 iEstimation iMethod

"The iestimator ifor iσ i2 iis iσ i^ i2, iand iis ithe isum iof ithe isquared iresiduals, idivided iby in i- i2."

The ipooled ivariance iestimator, is ip io io il ie id i2, iin iANOVA iis isynonymous iwith ithe ivariance
iestimator, iσ i^ i2, iin isimple ilinear iregression ibecause ithey iboth iuse imean isquared ierror i(MSE) ifor
itheir icalculations. i- i(correct ianswer) i-true




See i1.2 iEstimation iMethod ifor isimple ilinear iregression

See i2.2 iEstimation iMethod ifor iANOVA

The ipooled ivariance iestimator iis, iin ifact, ithe ivariance iestimator.

The inormality iassumption istates ithat ithe iresponse ivariable iis inormally idistributed. i- i(correct
ianswer) i-false




See i1.8 iDiagnostics

"Normality iassumption: ithe ierror iterms iare inormally idistributed."

The iresponse imay ior imay inot ibe inormally idistributed, ibut ithe ierror iterms iare iassumed ito ibe
inormally idistributed.


If ithe iconstant ivariance iassumption iin iANOVA idoes inot ihold, ithe iinference ion ithe iequality iof ithe
imeans iwill inot ibe ireliable. i- i(correct ianswer) i-true

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