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ChapterSeventeen17-1
BivariateAnalysisofAssociationBivariateTechniques:Statisticalmethodsofanalyzingtherelationshipbetweentwovariables.IndependentVariable:Variablebelievedtoaffectthevalueofthedependentvariable.17-2KeyTerms&Definitions
DependentVariable:Variableexpectedtobeexplainedorcausedbytheindependentvariable.BivariateRegressionAnalysis:Theanalysisofthestrengthofthelinearrelationshipbetweenvariableswhenoneisconsideredtheindependentvariableandtheotheristhedependentvariable.BivariateAnalysisofAssociation17-3KeyTerms&Definitions
ScatterDiagramScatterDiagram:GraphicplotofthedatawithdependentvariableontheY(vertical)axisandtheindependentvariableontheX(horizontal)axis.Showsthenatureoftherelationshipbetweenthetwovariables,linearornonlinear.17-4KeyTerms&Definitions
TypesofRelationshipsFoundinScatterDiagrams17-5KeyTerms&Definitions
TypesofRelationshipsFoundinScatterDiagrams17-6KeyTerms&Definitions
Valuesfor“a”and“b”canbecalculatedasfollows:Least-SquaresEstimationProcedure17-7KeyTerms&Definitions
Least-SquaresEstimationProcedureTheleast-squaresprocedureisafairlysimplemathematicaltechniquethatcanbeusedtofitdataforXandYtoalinethatbestrepresentstherelationshipbetweenthetwovariables.17-8KeyTerms&Definitions
Least-SquaresEstimationProcedureTheleast-squaresprocedureisafairlysimplemathematicaltechniquethatcanbeusedtofitdataforXandYtoalinethatbestrepresentstherelationshipbetweenthetwovariables.17-9KeyTerms&Definitions
CoefficientofDetermination17-10KeyTerms&Definitions
CoefficientofDetermination17-11KeyTerms&Definitions
CoefficientofDetermination17-12KeyTerms&Definitions
StatisticalSignificanceofRegressionResults17-13KeyTerms&Definitions
StatisticalSignificanceofRegressionResults17-14KeyTerms&Definitions
ErrorSumsofSquares(SSE)SumofSquaresDuetoRegressionVariationnotexplainedbytheregression.Instudyingtherelationshipbetweenvehiculartrafficandsales,thecoefficientofdeterminationmaybeusedtomeasurethepercentofthetotalvariation.17-15KeyTerms&Definitions
HypothesesConcerningOverallRegressionHerewe,astheresearchers,areinterestedinhypothesesregardingthecomputedR2valuefortheproblem.Istheamountofvarianceexplainedintheresult(byourmodel)significantlygreaterthanwewouldexpectduetochance?17-16KeyTerms&Definitions
DonotnecessarilymeanthereisacausalrelationshipbetweenvariablesCouldsimplyrepresentcoincidencebetweentherelevantvariablesShouldbetakenincontextandwiththetimelinessofbothdatasetsinmindCanbeusedinconjunctionwithcrosstabulationsoftherelevantdatatoaddanotherperspectivetotheresultsKeyPoints:17-17KeyTerms&DefinitionsMeasuresofAssociationCommonMisapplications
17-18KeyTerms&DefinitionsStatisticsontheInternetBivariateTechniquesScatterDiagramIndependentVariableDependentVariableBivariateRegressionAnalysisCoefficientofDeterminationLeast-SquareEstimationProcedureMeasuresofAssociation–TheConceptsSumofSquaresDuetoRegressionErrorSumofSquaresLinksandbuttonareactivewhenin“SlideShowMode”KeyTerms&Definitions
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