Applied Regression Analysis And Generalized Linear Models 3rd Edition By John Fox - Solutions

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e. Create anadjacencymatrixforthisgraph. B A C D H E G F
d. Create anadjacencylistforthisgraph. B A C D H E G F
c. Is thisgraphdirectedorundirected? B A C D H E G F
b. How manyedgesareinthenetwork? B A C D H E G F
a. How manynodesareinthenetwork? B A C D H E G F
Thinkaboutthesocialmediayouusefromyourlistin#1.a. What sitesdoyoupersonallyuse?b. Do theyhaveoverlappingfeatures(e.g.,doyouuseaphoto-sharing website inadditiontoFacebook,whichallowsyoutosharephotos)?c. If so,whydoyouusetwositesinsteadofone?d. If
Thetermssocialnetworkandsocialmediaareusedfrequentlyinthistext.What doyouthinkeachmeans?Whataretherelationships,similarities,and differences?
What aresomewaysyouthinksocialnetworkanalysiscanbeuseful?Before youhavelearnedtheanalysistechniquesthatwillbecoveredinthisbook, explainwhatyouthinkyoumightbeabletoaccomplishwithabetter understandingofwhoisconnectedwithwhom.
(Group exercise)Listallthesocialmediawebsitesyoucanthinkofthatmay be turnedintoasocialnetwork.Trytogroupthesesitesthematically.What features dotheyshare?Howaretheydifferent?
Imagine youareinchargeofthecommunitybeinginfectedandyouhave learned theEvilWarlord’sstrategiesfromexercise4.Youwereunabletostop the zombiefrominfectingthetarget,butnowyouwanttostopthespread.Imagine theinfectednodecanbitetwopeopleatagiventimestep.Afterthat, you
Imagine youareanEvilWarlordinthepost-apocalypticzombieera.You have capturedazombieandyouplantosneakitintothecommunityrunby your nemesisandreleaseit.Youhaveahighlyaccurateadjacencylistofthe social networkconnectionsinthatcommunity.a. Into whosehouseshouldyoureleasethezombieifyourgoalistoinfectas
Imagine thezombiesarrivetomorrow.Describeyoursurvivalstrategyandlist three socialnetworkinsightsthatrelatetoyourefforts.
In additiontothecounty-by-countymapofthezombieoutbreakpresentedin Figure 17.1, describeavisualizationthegovernmentcouldusetotrackthe spread ofzombinism.Createanexampleofvisualizationwithfakedata(you could makethedatauporusedataaboutanotherdiseaseoutbreak).Explain the visualizationandwhatitshows.
Aside fromthegeocachingexampledescribedabove,thinkofanother information-sharingcommunity-maintainedresourcethatagroupofsurvivors could buildduringthezombieapocalypse.Howwouldtheysharethe informationusingonlylow-techsolutions?Whatisthemotivationforpeople to participateinmaintainingtheresource?
Think aboutallthesocialmediawebsitesyoubelongto.a. If acompanycamealongandboughtyourdatafromallofthose companiesandputitalltogether,whatwouldyourreactionbe?b. What ifthatcompanydecidedtosellyouraggregateddatatomarketers?c. What iftheydecidedtosellittothegovernment?d. What
Recall exercise5fromChapter5ontiestrength.Inthatexercise,youlooked at anonlinediscussiongroupandlistedwaystomeasuretiestrengthbasedon users’ activity.Sayyouwantedtocarryoutthatstudyandpublishyour results.a. What datawouldyouwanttocollect?b. How wouldyoucollectit?c. Is
Imagine youarerunningasocialmediawebsite.Designyourownprivacy policy. Besureitaddressesthepointslistedinexercise1.a. Is yourpolicygearedmoretowardtheuserortowardyourwebsite?b. What thingscanyoudowithaperson’sdatathatmaylimityour company’sopportunities?c.
For thetwosystemsyouanalyzedinexercise1,whichprivacypolicymakes you morecomfortableandwhy?
Choose twosocialmediawebsites.Pulluptheirprivacypoliciesandanswer the followingquestionsforeach.a. What informationwillbecollectedaboutyou?b. How muchofthatinformationisreallynecessaryforyoutousethesite?Are theyaskingformorethantheyneed?c. Do youhaveaccesstoalltheinformationstoredaboutyou?d. How
Find twocompetingcompaniesthatbothmaintainTwitteraccounts.Use NodeXLtocreate1.5egocentricnetworkgraphsoftheirnetworks.Compare the networks,consideringfeaturessuchasdensity,clustering,andsize.Listat leastthreemajorfeaturesandexplainthesimilaritiesanddifferencesbetween the networks
Find acompanythathasundertakenaviralmarketingcampaignoversocial media.a. What istheessenceofthecampaign?b. What metricscanyouusetomeasureit(numberofviews,fans,likes, etc.)?c. Is thecampaignongoing,ordiditrunforafixedamountoftime?d. Are anystatisticsavailabletoindicatethesuccessofthecampaign?Ifso,
Find amajorcompanyofferingcustomerserviceonTwitter.SearchTwitterto find the10mostrecentcustomerserviceinteractionstheyhavehad.a. Was thecustomerserviceinquiryresolved?b. How manymessages,onaverage,weresentbetweenthecompanyandthe person sendingtherequest?Didthecompanyeverdirecttheconversation to
Come upwithfivecompaniesorbrandsyouinteractwithregularly.For example,thecompaniescouldbeabeveragebottler,restaurant,clothing brand, ortechnologycompany.Foreachofthefive,findallthesocialmedia accounts youcan.ThesewillusuallyincludeaFacebookpage,oftenaTwitter or
We haveseenseveralexamplesofhowsocialmediacanbeusedincrises.Create arecommendationforapublicagency(atanylevelfederal,state,or local) abouthowtheycouldleveragesocialmediaincrisissituations.Describe yourrecommendation,whyyouthinkitwouldwork,andhowthe agency shouldgoaboutimplementingit.
Choose afederal,state,andlocalpublicorganization.Thiscouldbealibrary, elected representative,agency,orthelike.a. What socialmediapresencedoeseachorganizationhave?b. For eachsocialmediaaccountforeachorganization,listhowmanypeople follow it.c. For
LookintheonlinegalleriesofNodeXLorManyEyes.Thesewebsitesinclude manynetworksofpoliticalorgovernmentagencies.Selecttwonetworksthat representgraphsofsimilarentities.Forexample,youmightchoosetwo graphsofnetworksofpolitician’sFacebooknetworks,twographsof
Chooseapopularcurrentissueofpublicdebate(abillunderconsideration,an election,orapoliticalissue).SearchTwitterforpostsaboutthatissue.a. What opinionsareyouabletofind?Summarizethem.b. Is oneopiniondominatingtheothers?c. Do youfindalotofcontentrepeated?Perhapsoneortwotweetsthatare repeated
Find anelectedofficialwhorepresentsyouandisusingsomeformofsocial media.a. What typesofinteractionisheorsheusing(broadcast,input, communication)?b. What appeartobehisorhergoalswithsocialmedia?c. Analyzingtheaccount,doesyourrepresentativeappeartobeeffective with socialmedia?Whyorwhynot?
Imagineyouwanttousesocialinformationtofilteryouremail.a. Which messageswouldyouwanttoappearfirst?b. Using GephiorNodeXL,createyouremailnetwork.c. Which peopleappeartobemostimportantinthatnetwork?Which measuresdidyouusetodeterminethat?d. What socialnetworkcharacteristicswoulddefinethepeoplewhose
Imagine youareanonlineinformationprovider,likeanewspaperoraweb portal. ManyofyourusersusedtheirFacebookorTwitteraccountstologin on yourwebsitetokeeptrackoftheirpreferences.Asaresult,youhave access toalloftheirsocialrelationshipsandprofiledata.Youcanalsopostto their
Find asocialreaderapplicationforamajoronlineinformationsource(e.g., The WashingtonPost, Yahoo!,orTheOnion).a. Sign uptousetheapplicationorconnectittoyoursocialmediaaccount.b. What articlesdoesitrecommendtoyou?c. How isitmakingthoserecommendations?d. What
Imagine youhavestartedanewmoviewebsite.Youwillhaveinformation about everyfilmandyouwanttousesocialfeaturestoshowreadersthemost relevantmoviereviews.a. Describe howyouwillsortthereviewsusingsocialdata?b. What socialinformationwillyouneedabouttheusers,ifany?Howwill you useit?c. What
Look upyourfavoritemovieonAmazon.com(findtheDVDorBluRay version),Facebook,theInternetMovieDatabase,andRottenTomatoes.a. What informationdoeseachsiteprovideintermsofreviewsandratings?b. What informationdoeseachsiteprovideintermsofrecommendationsfor other movies?c. Which
Lookupfourofyourfavoritesongsfromdifferenttimeperiodsandartistson Pandora(item-basedrecommendersystem)andLastFM(collaborative filteringrecommendersystem).a. For eachsong,listfiveotherrecommendeditems.b. How aretherecommendedsongssimilarordifferentfromthetwo different typesofrecommendersystems?c.
Go tooneofyoursocialmediapagesFacebook,Twitter,etc.a. View allthepostsfromthelastday,andratethemforimportanceona 15 scalewhere1isunimportantand5isveryimportant.b. For eachpersonwhohaspostedsomething,listalltheratingsyougaveto their posts.c. Do
Downloadanapplicationforyoursmartphonethatuseslocationinformation.This couldbealocation-basedgamelikeFourSquareorGeocaching, a workouttrackerlikeRunKeeperorMapMyRun,orsomeotherapplication.Make surethatyoucanseethelocationsthatyouloggedthrougheitherthe applicationoritswebsite.a. Use
Thischapterpresentedexamplesofhowlocationdataandsocialmediawere usedtotracktheflu,monitorwildfires,andrespondtocrisiseventslike earthquakes.Thinkaboutissuesfacingyourlocalcommunityanddescribethe way thatlocationinformationandsocialmediacouldbeusedtogethertohelp addressthoseissues.a. Sketch
Imagineyourfavoritesocialmediasitereleasedanupdatetoitsmobile applicationthatusesyourlocation.Considerlocation-basedprivacyissues withrespecttothefollowinguses:a. Imagine thisisintegratedintoanewfeaturethatallowsyoutopullupa screen thatshowsyouanyofyourfriendsorfollowerswhoarephysically nearby.
You arechargedwithdesigninganappforamobiledevice,likeasmart phone.Assumethatyouknowtheuser’scurrentlocationandthelocationof otherpeopleusingtheapp.Designanappthathasasocialcomponentand that leverageslocationinformation.Sketchthemainscreensoftheapp.Then describethefollowingfeaturesofyourapp:a.
ImagineyouhadaccesstothelocationfromwhereeveryTwittermessage was posted.ListthreefeaturesyoucouldaddtoTwitterthatusedthislocation data.
List threeonlinesocialactivitiesthatcouldbeenhancedbyintegrating people’s location.Explaineachexampleanddescribetheroleoflocationdata and howithelps.
List threeofflinesocialactivitiesthatcouldbeenhancedbyintegrating people’s location.Explaineachexampleanddescribetheroleoflocationdata and howithelps.
List threewaysasocialnetworkingcompany,likeFacebook,mightmake money usingthelocationinformationprovidedbyusers.
A frequenteventonWikipediaisthatpeopledeleteorvandalizepages.a. It takesefforttovandalizethepage.Whatdoyouthinkisthemotivation of thesepeople?b. Why doyouthinkthecommunityquicklyrespondstofixtheseproblems?What istheirmotivation?
Find fivefriendswhohavecontributedtoawiki.Interviewthemand summarizetheiranswerstothefollowingquestions:a. How oftendoyoucontributetothewiki?b. What arethemainkindsofcontributionsyoumake?c. Why doyoucontributetothewiki?d. What doyougetoutofcontributing?
List threecommunity-maintainedresourcesthatyouuse.a. What isyourlevelofparticipationineach?b. Select theonethatyoucontributetoleast.Whatwouldmakeyou participatemore?Ifyouarenotmotivatedtoparticipatemore,whynot?c. Select theoneyoucontributetomost.Whatisyouropinionofpeoplewho only
Forthegeocacheyoufoundandtwoothers,lookatthehistoryoflogs.How many“foundit,”“didn’tfindit,”and“maintenanceneeded”logsaretherefor each? Howhavethecacheownersorcommunityrespondedtorequestsfor maintenance?
DownloadthefreeGeocachingapptoyourmobiledeviceandfindageocache nearyou.
LookattheedithistoryoftheWikipediapageonWorldWarIIandcompare it totheedithistoryfortheChremonideanWar.Characterizethedifferences.How doyouthinkthisimpactsthequalityofthearticle?
FortheWikipediapageyoueditedinexercise1,lookattheedithistoryofthe page.Howsignificantisyourcontribution?Howfrequentlyisthepage edited?
Make aneditonWikipedia.
You areinchargeofcreatingaviralmarketingcampaignforacompany.Imagine youhaveaccesstotheentireTwittersocialnetwork.WhichTwitter users wouldyoutargetwithinformationaboutyourcampaignwiththegoalof having yourmessagespreadaswidelyaspossible?Givespecificsocial network
Again, assumeallnodeswhosenumberendsin“5”begininfected.Usinga 1-thresholdSIRmodel,tracethespreadofadiseaseinthenetwork.Anode will remaininfectedforonetimestepandthenbecomerecovered.Anodecan only beinfectedbyaneighborintheinfected“I”state.a. How
Work theFirefighterProblemontheexamplenetworkwhereyouare allowedtoplacefivefirefighterseachroundina1-thresholdmodel.Assume all nodeswhosenumberendsina“5”begininfected.Trytwodifferent solutions andcomparethenumberofuninfectednodesleftattheendof each process.
Set thesimilaritythresholdequalto4.0.a. Whichnodeswillbemergedbasedonyourcalculationsinexercise8?b. Whichnodeswillbemergedbasedonyourcalculationsinexercise9?c. Whichnodeswillbemergedbasedonyourcalculationsinexercise11?d. How doesincorporatingthenetworksimilaritydatachangetheresultsof the
Repeat exercise8butallowforpartialmatches.Youcanassignyourown values between0and1forapartialmatch.Forexample,ifonenode’sfirst name is“Michael”andanothernodehasafirstnamelistedas“M,”youmay decide touseavalueof0.3asapartialmatchbecausetheinitial“M”could represent“Michael.”List
Again, assumingthedatais100%correctwithnoerrorsormissingdata,is the m probabilityforphonenumber1?Whyorwhynot?
If weknowourdatasetis100%correctwithnoerrorsandnomissing data, whatisthe m probability formatchingnodestohavethesame birthdate?
On thewebsitecompanionforthebook,youwillfindafilewiththe2010 U.S. Censusdatashowingthepopulationdataforeachzipcodein Washington,D.C.ThetotalpopulationofD,C.inthatdatasetis601,723.Computethe u probabilityforthefollowingzipcodesbasedonthatdataset:a. 20010b. 20045c. 20535d. 20002
Computethe u probabilityforthefollowingattributes:a. Genderb. Maritalstatus.Assumetheoptionsaremarried,single,divorced,and widowedandforsimplicity,assumetherearethesamenumberofpeople in eachcategory,likewithgenderorbirthmonth.
Are thereanypatternsthatemergeinyouranalysisofthegraphinexercises 1 and2?Aretherecertainpairsthatfrequentlyreceivehighorlowratings?Can youexplainthatbyanalyzingtheirpositioninthegraphstructure?
For eachoftheformulasinthetableforExercise1,listthepairofnodesor pair betweenwhichyouwouldaddanedgebasedonthescores.Assume only thetop-ratedpairisselected.
Find areportfromyourlocalnewsservicethatdescribesacomplexevent.It shouldmentionatleastfivepeople,eveniftheyarementionedonlybrieflyor notbyname.Createanetworkofallpeoplementionedinthestory.Useone nodeforeachperson.Addedgesforanyrelationshiporinteractionyouhave informationaboutandlabeleachedge.
As youdidinexercise5oftheTieStrengthchapter,findapubliconline discussionboard.Readthepoststodevelopanunderstandingofthetypeof discussionshappening,themostactivepeople,andtheirinteractions.a. Imagine creatinganetworkwherethenodesrepresentpeoplewho
ImagineyouhavecreatedanawesomeYouTubevideothatyouthinkwillgo viral,andyouwanttotrackhowthatvideoisspreadingthroughTwitter.FurtherimaginethatTwitterhasgrantedyouaccesstoanydatayouwant.What kindofnetworkwouldyoucreatetostudythisphenomenon?a. What arethenodesinyournetwork?Whataretheedges?b. How
Facebookhasanobvioussocialnetworkstructure.Nodesareusers’accountsand edges areFacebookfriendships.Yourgoalinthisexerciseistothinkofother networksthatexistonFacebook.YoumaynotuseFacebookfriendshipsasedges.a. Create atleastthreedifferentdefinitionsofnetworksthatusepeopleas nodes.
Create aTVShowNetwork.a. Choose yourfavoritetelevisionshowandchooseafullepisode.Therewill be manypeoplewhoappearintheepisode,andmostwillbeminor characters(evenwithoutnames),thoughtheattentionwillfocusonthe main characters.i. Make alistofallthepeoplewhoappearandnoteroughlyhowlong they
AnalyzetheTwitteraccount@LuvMyDogs5.a. Build the1.5egocentricnetworkamongpeoplefollowedby@LuvMyDogs5.b. Visualizethegraphofthenetwork.c. Analyzethenodesinthegraph.Lookattheirattributes.Developa categorizationschemeforthenodes.d. Color-codethenodesaccordingtoyourschemedevelopedinpartc.Create
Open theSenateVotingRecordsdatasetinNodeXLorGephi.Usethe percentageofvotesincommonasanedgeweight.a. Color eachnodebyitspoliticalparty.Visualizethegraph.Doyousee any patterns?b. Filter theedgesbyweight.Tryavarietyofweightsuntilyoufeellike you haveaninterestinggraph.i. Show thevisualizedgraph.ii.
Repeat exercise6butusingaYouTubevideonetworkwithakeywordthat you thinkwillproducemultipleclusters.
Use theNodeXLFlickrspigottoimportaRelatedTagsnetwork.Choosea tag thatyouthinkwillproducetwoormoredistinctclustersaswasshownin some oftheexamplesabove.a. Beforecreatingthegraph,identifyyourtagandexplainwhyyouthink there willbemultipleclusters.b. Create
Create avisualizationofyourentirepersonalemailnetwork.Thiscanbe done automaticallywithmanynetworkvisualizationtools,likeGephior NodeXL, oryoucandoitbyhand.Letthenodesrepresentpeopleandlet the edgesindicateiftheyhavebeenonanemailmessagetogether.a. Look
Look atyouremailandchoosethe10peoplewithwhomyouthinkyou correspondthemost.a. For eachperson,readthelast10messagesyouhaveexchangedwithhim or her.Whichofthemajorcategoriesfromquestion2applytoyour conversations?Indicateeachpersonandthecategoriesofdiscussionyou have withthem.b. Create
Examineyourpersonalemail.Listmajorcategoriesoftopicsyoudiscuss with people.Thesemayincludetopicslikework,classes,family,orsocial events. Comeupwithalistof510 majorcategoriesoftopic.
Pick 10ofyourfriendsandfamilymembers.a. For eachperson,listthefollowingattributes:i. Age ii. Hometown iii. Educationlevel(yearsofeducation)iv. Occupationb. Create threemorepersonalattributesandlistthoseforeachofthepeople you chose.
Look at the survey in the callout. Recall that there are four categories of trust they are measuring: trust with material possessions, belief about reliability, trust with secrets, and trust regarding physical safety. Think of three additional statements for each of those categories that you could
Imagine you are in charge of creating a new way to sort the messages a person sees in his social media feed (Facebook news feed, Twitter feed, etc.). You have access to the entire social network. Also assume that users have the opportunity to rate how much they trust their friends (but not all will
Consider trust in your email.a. Look at the last 50 messages you have received. Make a list of all the people who have emailed you in that time.b. Rate the trust you have in each of those people. You may rate trust with respect to a particular context (e.g., professional trust) or give a more
Look atthegraphin Figure 6 . 1 with trust valuesontheedges.Asimple global trustalgorithmistousetheaverageofthetrustratingsassignedtoa node asitstrustworthiness.ComputethetrustworthinessfornodesAthroughI and forthesink.86 CHAPTER6 Trust
Get asmallgroupofyourfriendstogether(fivetoeightpeople).Havethem each takethetrusttestinthesidebarandcomputetheirscores.Thenhave them playtheinvestmentgamewithoneanother.Youdonotneedtousereal money.a. Do thepeoplewhohavehighertrustscoresonthesidebartesttendto invest moremoney?b. Do
Four aspectsoftrustarelistedabove:trustwithmaterialpossessions, reliability,secrets,andphysicalsafety.Thesurveyintheboxhasstatements that touchonsomeofthese.Comeupwithfive5newstatementsthatcouldbe added toasimilarsurvey.Whichofthefouraspectsoftrustdotheyrelateto?
Think ofsomewaysyoucouldvarytheInvestmentGametolearnmoreabout a person’spropensitytotrust.Whatifyouchangedtheamountofmoneyor the numberoftimesthesenderandreceiverplayedtogether?Whatifyouhad the senderandreceiverchangerolesafterthefirstroundandplayagain?Describe
Give threeexamplesofwherethetrustonepersonhasinanotherwillincrease very quickly.Givethreemoreexampleswheretrustwilldecreasequickly.
Besides job search, list three tasks where a person might rely on weak ties to give them important information? Then, list three tasks where strong ties might be better information sources. Explain why for each.
Give an example of the role weak ties play in job search.
Find apublicdiscussiongrouponline.Youcanfindmanyoftheseonthe Yahoo! Groupswebsite,butconsiderlookingforonerelatedtotopicsthat interest you(favoriteband,pets,sportsteam,videogame,etc.).Read thepoststodevelopanunderstandingofthetypeofdiscussions happening,themostactivepeople,andtheirinteractions.a.
You havebeensenttoapublicplaceapark,themall,orthelike.Without listeninginonconversations,yourtaskistoobservepairsorgroupsofpeople and guesstheirtiestrength.What observablethingscouldyoumeasuretodeterminethis?Forexample, two peoplemayhaveaconversationandyoucouldmeasurehowlongeach person
What areGranovetter’sfourfactorsthatinfluencetiestrength?Listeachand give anexampleofeach
Give anexampleofaninteractionbetweentwopeoplethatfallsintooneof the areaslabeledA,B,C,D,orEinthebox.Forexample,roommatesin college mayspendalotoftimetogether,andbecausetheyarelivinginthe same space,theymayhavemanyintimateinteractions.
Define theterm tiestrength.
Adjusted means (continued): The notion of an ‘‘adjusted’’ mean was introduced in Exercises 7.2 and 7.3. Consider the main-effects model for the p-way classification:µjk...r [ EðYijk...rÞ ¼ µ þ αAðjÞ þ αBðkÞ þ'''þ αPðrÞ(a) Show that if we constrain each set of effects to
ANOVA with equal cell frequencies: In higher-way ANOVA, as in twoway ANOVA, when cell frequencies are equal, the sum of squares for each set of effects can be calculated directly from the parameter estimates for the full model or, equivalently, in terms of cell and marginal means. To get the sum of
Calculate the fitted regression equation for each group (low and high partner’s status) in Moore and Krupat’s conformity data using the dummy regression in Equation 8.17(page 188). Calculate the fitted regression equation for each group using the analysis of covariance in Equation 8.19. Why
Adjusted means (concluded): The notion of an adjusted mean was discussed in Exercises 7.2, 7.3, and 8.6. Now consider the ANCOVA model for two factors, R and C, and two covariates, X1 and X2:Yijk ¼ µ þ αj þ βk þ γjk þ δ1ðXijk1 % X1Þ þ δ2ðXijk2 % X2Þ þ εijk Note that this
Reanalyze Moore and Krupat’s conformity data eliminating the two outlying observations, Subjects 16 and 19. Perform both a two-way ANOVA, treating authoritarianism as a factor, and an ANCOVA, treating authoritarianism as a covariate.
(Equations 8.6 (page 167) show how the parameters in a dummy-coded twoway ANOVA model can be expressed in terms of the cell means µjk when the number of levels of the row factor R is r ¼ 2 and the number of levels of the column factor C is c ¼ 3.(a) Explain why the hypotheses H0: β1 ¼ 0 and
*Orthogonal contrasts (see Section 9.1.2): Consider the equation flF ¼ X(1 B „relating the parameters flF of the full-rank ANOVA model to the cell means „. Suppose that X(1 B is constructed so that its rows are orthogonal. Show that the columns of the row basis XB of the model matrix are also
Verify that each of the terms in the sum-of-squares function (see Equation 9.9 on page 208)SðbÞ ¼ y0 y ( y0 Xb ( b0 X0 y þ b0 X0 Xb is (1 · 1), justifying writing SðbÞ ¼ y0 y ( ð2y0 XÞb þ b0ðX0 XÞb
Standardized regression coefficients:74(a) *Show that the standardized coefficients can be computed as b* ¼ R(1 XX rXy, where RXX is the correlation matrix of the explanatory variables, and rXy is the vector of correlations between the explanatory variables and the response variable. [Hints: Let
*A crucial step in the proof of the Gauss-Markov theorem (Section 9.3.2) uses the fact that the matrix product AX must be 0 because AXfl ¼ 0. Why is this the case? [Hint:The key here is that AXβ ¼ 0 regardless of the value of fl. Consider, for example, fl ¼ ½1; 0; ... ; 0%0 (i.e., one possible

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Applied Regression Analysis And Generalized Linear Models 3rd Edition By John Fox - Solutions

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