2vs exercise set 3 - section 1a pre-algebra · two-variable statistics – exercise set 3 1. the...
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Two-VariableStatistics–ExerciseSet31. Thescatterplotshowsthenumberoftimesaplayercametobatandthenumberof
hitstheyhad.
Thescatterplotincludesapointat(318,80).Describethe
meaningofthispointinthissituation.
2. Thescatterplotshowsthenumberofminutespeoplehadtowaitforserviceata
restaurantandthenumberofstaffavailableatthetime.
Alinethatmodelsthedataisgivenbytheequation𝑦 = −1.62𝑥 + 18,where𝑦representsthewaittime,and𝑥representsthenumberofstaffavailable.
a.Theslopeofthelineis-1.62.Whatdoesthismeaninthissituation?Isitrealistic?
b.The𝑦-interceptis(0,18).Whatdoesthismeaninthissituation?Isitrealistic?
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3. Ataxidriverrecordsthetimerequiredtocompletevarioustripsandthedistanceforeachtrip.
Thebestfitlineisgivenbytheequation𝑦 = 0.467𝑥 + 0.417,where𝑦representsthedistanceinmiles,and𝑥representsthetimeforthetripinminutes.
a. a.Usethebestfitlinetoestimatethedistanceforatripthattakes20minutes.Showyourreasoning.
b.Usethebestfitlinetoestimatethetimeforatripthatis6mileslong.Showyourreasoning.
4. Dataiscollectedaboutthenumberofwinsandlossesbyarandomsampleofteams
withananimalmascotandthosewithanotherkindofmascot.Thecolumnrelativefrequenciesareshowninthetable.Basedontheinformationinthetable,isthereanassociationbetweenthevariables?Explainyourreasoning.
animalmascot othertypeofmascotwins 74% 49%losses 26% 51%
5. Arandomselectionofindoorandoutdoorpoolmanagersaresurveyedaboutthenumberofpeopleineachagegroupthatswimthere.Resultsfromthesurveyaredisplayedinthetwo-waytable.Basedonthedata,doesthereappeartobeanassociationbetweenpooltypeandagegroup?Explainyourreasoning.
outdoorpool indoorpoolyoungerthan18 317 4118orolder 352 163
6. Datafromarandomsampleofpeoplearecollectedabouthowtheywatchmoviesinthegenresofactionormystery.Whichvaluewouldbestfitinthemissingcelltosuggestthereisnoassociationbetweenthegenreandhowthemoviesarewatched?
streamingmovies discrentalaction 526 147mystery 317