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ISYE 6414 - ALL UNITS COMPLETELY SOLVED GRADED A 2024.
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ISYE 6414 - ALL UNITS COMPLETELY SOLVED GRADED A 2024.ISYE 6414 - ALL UNITS COMPLETELY SOLVED GRADED A 2024.ISYE 6414 - ALL UNITS COMPLETELY SOLVED GRADED A 2024.ISYE 6414 - ALL UNITS COMPLETELY SOLVED GRADED A 2024.ISYE 6414 - ALL UNITS COMPLETELY SOLVED GRADED A 2024.ISYE 6414 - ALL UNITS COMPLET...

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  • September 7, 2024
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ISYE 6414 - ALL UNITS COMPLETELY SOLVED
GRADED A 2024




response i(dependent) ivariables i- icorrect iAnswers i✔✔ i-one iparticular ivariable ithat iwe iare iinterested
iin iunderstanding ior imodeling i(y)


predicting ior iexplanatory i(independent) ivariables i- icorrect iAnswers i✔✔ i-a iset iof iother ivariables
ithat imight ibe iuseful iin ipredicting ior imodeling ithe iresponse ivariable i(x1, ix2)


What ikind iof ivariable iis ia iresponse ivariable iand iwhy? i- icorrect iAnswers i✔✔ i-random, ibecause iit
ivaries iwith ichanges iin ithe ipredictor/s ialong iwith iother irandom ichanges.


What ikind iof ivariable iis ia ipredicting ivariable iand iwhy? i- icorrect iAnswers i✔✔ i-fixed, ibecause iit idoes
inot ichange iwith ithe iresponse ibut iit iis ifixed ibefore ithe iresponse iis imeasured.


linear irelationship i- icorrect iAnswers i✔✔ i-a isimple ideterministic irelationship ibetween i2 ifactors, ix
iand iy


what iare ithree ithings ithat ia iregression ianalysis iis iused ifor? i- icorrect iAnswers i✔✔ i-1. iPrediction iof
ithe iresponse ivariable, i2. iModeling ithe irelationship ibetween ithe iresponse iand iexplanatory ivariables,
i3. iTesting ihypotheses iof iassociation irelationships


B0 i= i? i- icorrect iAnswers i✔✔ i-intercept

B1 i= i? i- icorrect iAnswers i✔✔ i-slope

for iour ilinear imodel iwhere: iY i= iB0 i+ iB1 i+ iEPSILON i(E), iwhat idoes ithe iepsilon irepresent? i- icorrect
iAnswers i✔✔ i-deviance iof ithe idata ifrom ithe ilinear imodel i(error iterm)


what iare ithe i4 iassumptions iof ilinear iregression? i- icorrect iAnswers i✔✔ i-Linearity/Mean iZero,
iConstant iVariance, iIndependence, iNormality


Linearity/Mean izero iassumption i- icorrect iAnswers i✔✔ i-Means ithat ithe iexpected ivalue i(deviances)
iof ierrors iis izero. iThis ileads ito idifficulties iin iestimating iB0 iand imeans ithat iour imodel idoes inot
iinclude ia inecessary isystematic icomponent

,Constant ivariance iassumption i- icorrect iAnswers i✔✔ i-Means ithat iit icannot ibe itrue ithat ithe imodel iis
imore iaccurate ifor isome iparts iof ithe ipopulation, iand iless iaccurate ifor iother iparts iof ithe
ipopulations. iThis ican iresult iin iless iaccurate iparameters iand ipoorly-calibrated iprediction iintervals.


Assumption iof iIndependence i- icorrect iAnswers i✔✔ i-Means ithat ithe ideviances, ior iin ifact ithe
iresponse ivariables iys, iare iindependently idrawn ifrom ithe idata-generating iprocess. i(this imost ioften
ioccurs iin itime iseries idata) iThis ican iresult iin ivery imisleading iassessments iof ithe istrength iof
iregression.


Normality iassumption i- icorrect iAnswers i✔✔ i-This iis ineeded iif iwe iwant ito ido iany iconfidence ior
iprediction iintervals, ior ihypothesis itest, iwhich iwe iusually ido. iIf ithis iassumption iis iviolated,
ihypothesis itest iand iconfidence iand iprediction iintervals iand ibe ivery imisleading.


what iare ithe i3 iparameters iwe iestimated iin iregression? i- icorrect iAnswers i✔✔ i-B0, iB1, isigma
isquared i(variance iof ithe ione ipop.)


What ido iwe imean iby imodel iparameters iin istatistics? i- icorrect iAnswers i✔✔ i-Model iparameters iare
iunknown iquantities, iand ithey istay iunknown iregardless ihow imuch idata iare iobserved. iWe iestimate
ithose iparameters igiven ithe imodel iassumptions iand ithe idata, ibut ithrough iestimation, iwe're inot
iidentifying ithe itrue iparameters. iWe're ijust iestimating iapproximations iof ithose iparameters.


What iis ithe iestimated isampling idistribution iof is^2? i- icorrect iAnswers i✔✔ i-chi-square iwith in-1 iDF

Why ido iwe ilose i1 iDF ifor is^2? i- icorrect iAnswers i✔✔ i-we ireplace imu iwith izbar

what iis ithe irelationship ibetween is^2 iand isigma^2? i- icorrect iAnswers i✔✔ i-S^2 iestimates isigma^2

What iis ithe iestimated isampling idistribution iof isigma^2? i- icorrect iAnswers i✔✔ i-chi-square iwith in-2
iDF i(~ iequivalent ito iMSE)


Why ido iwe ilose i2 iDF ifor isigma^2? i- icorrect iAnswers i✔✔ i-we ireplaced itwo iparameters, iB0 iand iB1

In iSLR, iwe iare iinterested iin ithe ibehavior iof iwhich iparameter? i- icorrect iAnswers i✔✔ i-B1

If iwe ihave ia ipositive ivalue ifor iB1,.... i- icorrect iAnswers i✔✔ i-then ithat's iconsistent iwith ia idirect
irelationship ibetween ithe ipredicting ivariable ix iand ithe iresponse ivariable iy.


If iwe ihave ia inegative ivalue ifor iB1,.... i- icorrect iAnswers i✔✔ i-is iconsistent iwith ian iinverse
irelationship ibetween ix iand iy


When iB1 iis iclose ito izero... i- icorrect iAnswers i✔✔ i-we iinterpret ithat ithere iis inot ia isignificant
iassociation ibetween ipredicting ivariables, ibetween ithe ipredicting ivariable ix, iand ithe iresponse
ivariable iy.


How ido iwe iinterpret iB1? i- icorrect iAnswers i✔✔ i-It iis ithe iestimated iexpected ichange iin ithe
iresponse ivariable iassociated iwith ione iunit iof ichange iin ithe ipredicting ivariable.

,How iwe iinterpret i^B0? i- icorrect iAnswers i✔✔ i-It iis ithe iestimated iexpected ivalue iof ithe iresponse
ivariable, iwhen ithe ipredicting ivariable iequals izero.


What iis ithe isampling idistribution iof i^B1? i- icorrect iAnswers i✔✔ i-t idistribution iwith iN-2 iDF

What ican iwe iuse ito itest ifor istatistical isignificance? i- icorrect iAnswers i✔✔ i-t-test

What iwould iwe ido iif ithe iT ivalue iis ilarge? i- icorrect iAnswers i✔✔ i-Reject ithe inull ihypothesis ithat iβ1
iis iequal ito izero. iIf ithe inull ihypothesis iis irejected, iwe iinterpret ithis ithat iβ1 iis istatistically isignificant.


what idoes i'statistical isignificance' imean? i- icorrect iAnswers i✔✔ i-B1 iis istatistically idifferent ifrom
izero.


what iis ithe idistribution iof iB1? i- icorrect iAnswers i✔✔ i-Normal

The iestimators ifor ithe iregression icoefficients iare:

A) iBiased ibut iwith ismall ivariance

B) iUnbiased iunder inormality iassumptions ibut ibiased iotherwise.

C) iUnbiased iregardless iof ithe idistribution iof ithe idata. i- icorrect iAnswers i✔✔ i-C

The iassumption iof inormality:



A) iIt iis ineeded ifor ideriving ithe iestimators iof ithe iregression icoefficients.

B) iIt iis inot ineeded ifor ilinear iregression imodeling iand iinference.

C) iIt iis ineeded ifor ithe isampling idistribution iof ithe iestimators iof ithe iregression icoefficients iand
ihence ifor iinference.


D) iIt iis ineeded ifor ideriving ithe iexpectation iand ivariance iof ithe iestimators iof ithe iregression
icoefficients. i- icorrect iAnswers i✔✔ i-C


What iis i'X*'? i- icorrect iAnswers i✔✔ i-predictor

Where idoes iuncertainty ifrom iestimation icome ifrom? i- icorrect iAnswers i✔✔ i-from iestimation ialone

Where idoes iuncertainty ifrom iprediction icome ifrom? i- icorrect iAnswers i✔✔ i-from ithe iestimation iof
iregression iparameters iand ifrom ithe inewness iof ithe iobservation iitself


what iis ithe iprediction iinterval iused ifor? i- icorrect iAnswers i✔✔ i-used ito iprovide ian iinterval iestimate
ifor ia iprediction iof iy ifor ione imember iof ithe ipopulation iwith ia iparticular ivalue iof ix*


what iis ithe iconfidence iinterval iused ifor? i- icorrect iAnswers i✔✔ i-to iprovide ian iinterval iestimate ifor
ithe itrue iaverage ivalue iof iy ifor iall imembers iof ithe ipopulation iwith ia iparticular ivalue iof ix*

, The iestimated iversus ipredicted iregression iline ifor ia igiven ix*:



A) iHave ithe isame ivariance

B) iHave ithe isame iexpectation

C) iHave ithe isame ivariance iand iexpectation

D) iNone iof ithe iabove i- icorrect iAnswers i✔✔ i-B

The ivariability iin ithe iprediction icomes ifrom:



A) iThe ivariability idue ito ia inew imeasurement.

B) iThe ivariability idue ito iestimation.

C) iThe ivariability idue ito ia inew imeasurement iand idue ito iestimation.

D) iNone iof ithe iabove. i- icorrect iAnswers i✔✔ i-C

residuals i- icorrect iAnswers i✔✔ i-the idifference ibetween ithe iobserved iresponse iand ithe ifitted
iresponses


what idoes iresidual ianalysis iNOT icheck ifor? i(for iSLR iassumptions) i- icorrect iAnswers i✔✔ i-
independence

what ican iwe iuse ito icheck ifor inormality? i- icorrect iAnswers i✔✔ i-QQ iplot iand ihistogram

what iare itwo iways ito itransform idata? i- icorrect iAnswers i✔✔ i-power iand ilog itransformation

outliers i- icorrect iAnswers i✔✔ i-which iare idata ipoints ifar ifrom ithe imajority iof ithe idata iin iboth ix
iand iy ior ijust ix


leverage ipoints i- icorrect iAnswers i✔✔ i-Data ipoints ithat iare ifar ifrom ithe imean iof ithe ix's

influential ipoints i- icorrect iAnswers i✔✔ i-A idata ipoint ithat iis ifar ifrom ithe imean iof iboth ithe ix's iand
ithe iy's, ibecause ithey iare iinfluencing ithe ifit iof ithe iregression.


R^2 ior icoefficient iof idetermination i- icorrect iAnswers i✔✔ i-a istatistic ithat iefficiently isummarizes
ihow iwell ithe ix ican ibe iused ito ipredict ithe iresponse ivariable.


How ido iwe iinterpret iR^2? i- icorrect iAnswers i✔✔ i-Proportion iof itotal ivariability iin iY ithat ican ibe
iexplained iby ithe iregression i(that iuses iX)

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