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ISYE6414 (Regression) Midterm 1
Questions And Answers


What Iare Ithe Ivariables Iin Iregression? I- Icorrect IAnswers I✔✔ I-1. IResponse I(dependent) Ivariable I-
Ione Iparticular Ivariable Ithat Iwe Iare Iinterested Iin Iunderstanding Ior Imodelling, Isuch Ias Isales Iof Ia
Iparticular Iproduct.




2. IPredicting Ior IExplanatory I(independent) Ivariable I- Iset Iof Iother Ivariables Ithat Iwe Ithink Imight Ibe
Iuseful Iin Ipredicting Ior Imodelling Ithe Iresponse Ivariable I(like Ithe Iprice Iof Ia Iproduct)


Which Iregression Ivariable Iis Ia IRandom Ivariable? I- Icorrect IAnswers I✔✔ I-Response IVariable I- IIt
Ivaries Iwith Ichanges Iin Ithe Ipredictor Ialong Iwith Iother Irandom Ichanges


Which Iregression Ivariable Iis Ia IFixed Ivariable? I- Icorrect IAnswers I✔✔ I-Predicting IVariable I- IIt Idoes
Inot Ichange Iwith Ithe Iresponse Ibut Iit Iis Iset Ifixed Ibefore Ithe Iresponse Iis Imeasured.


What Iare Ithe Iobjectives Iin Iregression Ianalysis? I- Icorrect IAnswers I✔✔ I-1. IPrediction I- Iof Ithe
Iresponse Ivariable


2. IModelling I- Ithe Irelationship Ibetween Ithe Iresponse Ivariable Iand Ithe Iexplanatory Ivariables

3. ITesting I- Ihypotheses Iof Iassociation Irelationships.

What Iare Ithe Igiven Iassumptions Iwhen Ibuilding Ia Ilinear Iregression Imodel? I- Icorrect IAnswers I✔✔ I-1.
ILinearity/Mean IZero IAssumption I- Iit Icannot Ibe Itrue Ithat Ifor Icertain Isubgroups Iin Ithe Ipopulation,
Ithe Imodel Iis Iconsistently Itoo Ilow, Iwhile Ifor Iothers, Iit's Iconsistently Itoo Ihigh.




2. IConstant IVariance IAssumption I- Imeans 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.




3. IIndependence IAssumption Iare Iindependent Irandom Ivariables I- Iit Icannot Ibe Itrue Iknowing Ithat
Ithe Imodel Iunder-predicts Iy Ifor Ione Iparticular Icase Itells Iyou Ianything Ior Iall Iabout Iwhat Iit Idoes Ifor
Iany Iother Icase. I(her Ilanguage)

,4. INormally Idistributed.

What Iis Ithe Ivalue Ithat Iis Ibeing Ioptimized Itowards Iin Ia Ilinear Iregression Iproblem? I- Icorrect IAnswers
I✔✔ I-Minimizing Ithe Isum Iof Isquared Ierrors


In Iterms Iof Imodel Iparameter Iinterpretation, Ihow Iwould Iyou Iinterpret Ia Ipositive Ivalue Ifor IB1,
Inegative Ivalue, Iand Ivalue Iclose Ito I0? I- Icorrect IAnswers I✔✔ I-A Ipositive Ivalue Iof IB1 Iis Iconsistent
Iwith Ia Idirect Irelationship Ibetween Ix Iand Iy




A Inegative Ivalue Iof IB1 Iis Iconsistent Iwith Ian Iinverse Irelationship Ibetween Ix Iand Iy



A Iclose Ito Izero Ivalue Iof IB1 Imeans Ithat Ithere Iis Inot Ia Isignificant Iassociation Ibetween Ix Iand Iy

What Iare Ithe Iinterpretations Iof Ithe ILeast ISquares Iestimated Icoefficients I(B Ihat I1 Iand IB Ihat I0) I-
Icorrect IAnswers I✔✔ I-B Ihat I1 Iis Ithe Iestimated Iexpected Ichange Iin Ithe Iresponse Ivariable Iassociated
Iwith Ithe Iunit Iof Ichange Iin Ithe Ipredicting Ivariable




B Ihat I0 Iis Ithe Iestimated Iexpected Ivalue Iof Ithe Iresponse Ivariable Iwhen Ithe Ipredicting Ivariable
Iequals Izero


What Iis Iextrapolation? I- Icorrect IAnswers I✔✔ I-When Iyou Itry Ito Ipredict Ia Ivalue Iusing Iyour
Iregression Imodel Ithat Iis Ioutside Iof Ithe Iobserved Irange. IIt Iis Iunreliable Ito Iuse Iextrapolation.


Assuming Ithat Ithe Idata Iare Inormally Idistributed, Iunder Ithe Isimple Ilinear Imodel, Ithe Iestimated
Ivariance Ihas Ithe Ifollowing Isample Idistribution:




A) IChi-square Iwith In-2 Idegrees Iof Ifreedom

B) IT-distribution Iwith In-2 Idegrees Iof Ifreedom

C) IChi-square Iwith In Idegrees Iof Ifreedom

D) IT-distribution Iwith In Idegrees Iof Ifreedom I- Icorrect IAnswers I✔✔ I-A) IChi-square Iwith In-2 Idegrees
Iof Ifreedom


The Ifitted Ivalues Iare Idefined Ias:

, A) IThe Idifference Ibetween Iobserved Iand Iexpected Iresponses

B) IThe Iregression Iline Iwith Iparameters Ireplaced Iwith Ithe Iestimated Iregression Icoefficients

C) IThe Iregression Iline

D) IThe Iresponse Ivalues. I- Icorrect IAnswers I✔✔ I-B) IThe Iregression Iline Iwith Iparameters Ireplaced
Iwith Ithe Iestimated Iregression Icoefficients.


The Iestimators Iof Ithe Ilinear Iregression Imodel Iare Iderived Iby:



A) IMinimizing Ithe Isum Iof Isquared Idifferences Ibetween Iobserved Iand Iexpected Ivalues Iof Ithe
Iresponse Ivariable.


B) IMaximizing Ithe Isum Iof Isquared Idifferences Ibetween Iobserved Iand Iexpected Ivalues Iof Ithe
Iresponse Ivariable.


C) IMinimizing Ithe Isum Iof Iabsolute Idifferences Ibetween Iobserved Iand Iexpected Ivalues Iof Ithe
Iresponse Ivariable.


D) IMaximizing Ithe Isum Iof Iabsolute Idifferences Ibetween Iobserved Iand Iexpected Ivalues Iof Ithe
Iresponse Ivariable. I- Icorrect IAnswers I✔✔ I-A) IMinimizing Ithe Isum Iof Isquared Idifferences Ibetween
Iobserved Iand Iexpected Ivalues Iof Ithe Iresponse Ivariable.


When Iusing Ithe It-test Ifor Istatistical Isignificance, Iwhen Iwould Iyou Iinterpret IB1 Ias Istatistically
Isignificant? I- Icorrect IAnswers I✔✔ I-We Ireject Ithe Inull Ihypothesis Iof Ithe Iabsolute Ivalue Iof Ithe It-
value Iis Ilarge. IIf Ithe Inull Ihypothesis Iis Irejected, Iwe Iinterpret Ithis Ias IB1 Ibeing Istatistically Isignificant.

What Iis Istatistical Isignificance? I- Icorrect IAnswers I✔✔ I-It Imeans Ithat IB1 Iis Istatistically Idifferent Ifrom
Izero.


When Iusing Ithe Ip-value Itest Ifor Istatistical Isignificance, Iwhen Iwould Iyou Iinterpret IB1 Ias Istatistically
Isignificant? I- Icorrect IAnswers I✔✔ I-If Ithe IP-value Iis Ismall I(<.01) Ithen Iwe Iwould Ireject Ithe Inull
Ihypothesis Iand Idetermine Ithat IB1 Iis Istatistically Isignificant.


What Iis Ithe Ip-value? I- Icorrect IAnswers I✔✔ I-The Ip-value Iis Ia Imeasure Iof Ihow Ireject-able Ithe Inull
Ihypothesis Iis. IThe Ismaller Ithe Ip-value, Ithe Imore Ireject-able Ithe Inull Ihypothesis Iis Ifor Ithe Iobserved
Idata.


The Iestimators Ifor Ithe Iregression Icoefficients Iare:



A) IBiased Ibut Iwith Ismall Ivariance

B) IUnbiased Iunder Inormality Iassumptions Ibut Ibiased Iotherwise

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