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1、2.4.Supposethatthedataforanalysisincludestheattributeage.Theagevaluesforthedatatuplesare(inincreasingorder)13,15,16,16,19,20,20,21,22,22,25,25,25,25,30,33,33,35,35,35,35,36,40,45,46,52,70.(a)Whatisthemeanofthedata?Whatisthemedian?(b)Whatisthemodeofthedata?Commentonthedata'smoda
2、lity(i.e.,bimodal,trimodal,etc.).(c)Whatisthemidrangeofthedata?(d)Canyou¯nd(roughly)the¯rstquartile(Q1)andthethirdquartile(Q3)ofthedata?(e)Givethe¯ve-numbersummaryofthedata.(f)Showaboxplotofthedata.(g)Howisaquantile-quantileplotdi®erentfromaquantileplot?2.9.Supposeahospitaltest
3、edtheageandbodyfatdatafor18randomlyselectedadultswiththefollowingresultage232327273941474950%fat9.526.57.817.831.425.927.427.231.2age525454565758586061%fat34.642.528.833.430.234.132.941.235.7(a)Calculatethemean,medianandstandarddeviationofageand%fat.(b)Drawtheboxplotsforageand%
4、fat.(c)Drawascatterplotandaq-qplotbasedonthesetwovariables.(d)Normalizethetwovariablesbasedonz-scorenormalization.(e)Calculatethecorrelationcoe±cient(Person'sproductmomentcoe±cient).Arethesetwovariablespositivelyornegativelycorrelated?2.11.Usethetwomethodsbelowtonormalizethefol
5、lowinggroupofdata:200;300;400;600;1000(a)min-maxnormalizationbysettingmin=0andmax=1(b)z-scorenormalization4.4.SupposethatabasecuboidhasthreedimensionsA;B;C,withthefollowingnumberofcells:jAj=1;000;000,jBj=100,andjCj=1000.Supposethateachdimensionisevenlypartitionedinto10portionsf
6、orchunking.(a)Assumingeachdimensionhasonlyonelevel,drawthecompletelatticeofthecube.(b)Ifeachcubecellstoresonemeasurewith4bytes,whatisthetotalsizeofthecomputedcubeifthecubeisdense?(c)Statetheorderforcomputingthechunksinthecubethatrequirestheleastamountofspace,andcomputethetotala
7、mountofmainmemoryspacerequiredforcomputingthe2-Dplanes.5.3.Adatabasehas¯vetransactions.Letminsup=60%andminconf=80%.(a)FindallfrequentitemsetsusingAprioriandFP-growth,respectively.Comparethee±ciencyofthetwominingprocesses.(b)Listallofthestrongassociationrules(withsupportsandcon¯
8、dencec)matchingthefollowingmetarule,whereXisavariabler
