Chapter 27 and 10 FRQ Review.tst

Name___________________________________ Period _____ Chapter 10 and 27 FRQ Review ESSAY.ȱȱWriteȱyourȱanswerȱinȱtheȱspaceȱprovidedȱorȱonȱaȱseparateȱsheetȱofȱpaper. 1) IfȱyouȱhaveȱaȱpuppyȱwhoȱyouȱareȱfeedingȱHillȇsȱScienceȱDiet®ȱoriginalȱpuppyȱfood,ȱtheȱfeedingȱguidelinesȱforȱpuppies whoȱareȱ10ȱtoȱ12ȱmonthsȱoldȱareȱasȱfollowsȱ(Source:ȱHillȇsȱfeedingȱguidelines):

Aȱscatterplotȱofȱtheȱdataȱis:

Doesȱitȱseemȱreasonableȱtoȱperformȱaȱlinearȱregressionȱtoȱpredictȱamountȱofȱfoodȱfromȱtheȱpuppyȇsȱweightȱbasedȱon thisȱdataȱset?ȱExplain. 2) Youȱareȱgivenȱtheȱfollowingȱcostsȱtoȱbuildȱaȱsquareȱdeckȱforȱyourȱhouse:

a.ȱMakeȱanȱappropriateȱgraphȱforȱtheȱdata.ȱCalculateȱtheȱleast -squaresȱregressionȱlineȱforȱtheȱdataȱandȱindicateȱthe valueȱforȱtheȱcoefficientȱofȱdetermination. b.ȱIsȱaȱlinearȱmodelȱappropriate?ȱExplain. c.ȱPredictȱtheȱcostȱofȱaȱsquareȱdeckȱthatȱisȱ20ȱfeetȱwide. d.ȱRe-expressȱtheȱdataȱusingȱanȱexponentialȱtransformation.ȱMakeȱanȱappropriateȱgraphȱofȱtheȱre -expressedȱdata. Calculateȱtheȱleast-squaresȱregressionȱlineȱforȱtheȱre-expressedȱdataȱandȱindicateȱtheȱvalueȱforȱtheȱcoefficientȱof determination. e.ȱIsȱtheȱlinearȱmodelȱappropriate?ȱExplain. f.ȱPredictȱtheȱcostȱofȱaȱsquareȱdeckȱthatȱisȱ20ȱfeetȱwide. g.ȱRe-expressȱtheȱdataȱusingȱanȱpowerȱtransformation.ȱMakeȱanȱappropriateȱgraphȱofȱtheȱre -expressedȱdata.ȱCalculate theȱleast-squaresȱregressionȱlineȱforȱtheȱre-expressedȱdataȱandȱindicateȱtheȱvalueȱforȱtheȱcoefficientȱofȱdetermination. h.ȱIsȱtheȱlinearȱmodelȱappropriateȱforȱtheȱdata?ȱExplain. f.ȱPredictȱtheȱcostȱofȱaȱsquareȱdeckȱthatȱisȱ20ȱfeetȱwide. 1

3) HeightȱandȱweightȱLastȱfall,ȱasȱourȱfirstȱexampleȱofȱcorrelation,ȱweȱlookedȱatȱtheȱheightsȱandȱweightsȱofȱsomeȱAP* Statisticsȱstudents.ȱHereȱareȱtheȱscatterplot,ȱtheȱresidualsȱplot,ȱaȱhistogramȱofȱtheȱresiduals,ȱandȱtheȱregressionȱanalysis forȱtheȱdataȱweȱcollectedȱfromȱtheȱmales.ȱUseȱthisȱinformationȱtoȱanalyzeȱtheȱassociationȱbetweenȱheightsȱandȱweights ofȱteenageȱboys.

a.ȱIsȱthereȱanȱassociation?ȱWriteȱappropriateȱhypotheses. b.ȱAreȱtheȱassumptionsȱforȱregressionȱsatisfied?ȱExplain.ȱ c.ȱWhatȱdoȱyouȱconclude? d.ȱCreateȱaȱ95%ȱconfidenceȱintervalȱforȱtheȱtrueȱslope. e.ȱExplainȱinȱcontextȱwhatȱyourȱintervalȱmeans. f.ȱIfȱyouȱwereȱtoȱuseȱaȱNormalȱProbabilityȱPlotȱtoȱcheckȱtheȱNearlyȱNormalȱassumption,ȱdescribeȱtheȱNormal ProbabilityȱPlotȱthatȱwouldȱindicateȱtheȱNearlyȱNormalȱassumptionȱisȱmet.

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