Correlation Coefficient - Project Maths

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Teaching & Learning Plan: The Correlation CoefficientStudent Learning Tasks:Teacher Input»»Draw a scatter plot thatwould have a strongpositive correlation?»Student Activities: PossibleResponses• Students may give a variety ofanswers here.Teacher’s Support andActions»»Get students in pairs todraw their own plots.Assessing the Learning»»Are students drawing plotsthat make sense?Teacher Reflections»»Draw a scatter plot thatwould have a strongnegative correlation?»»»Draw a scatter plot thatwould have a correlationclose to 0?»»Here are some numberlines. Can you shadeon the lines the valuesof the correlationcoefficient which indicatedifferent types ofcorrelation?»»»Complete StudentActivity 2A.• Student responses here willbe dependent on their priorknowledge of inequalities.»»Distribute StudentActivity 2 A.»»Circulate the room.»»»Get students in groups toput their answers on theboard.»»»Some extra work maybe required here oninequalities e.g. ages inthe classroom today are15≤ A ≤17»»Are students shading thelines correctly?»» » Are students able tointerpret the sets from thenow shaded number lines?© Project Maths Development Team 2011 www.projectmaths.ie KEY: » next step • student answer/response 8
Teaching & Learning Plan: The Correlation CoefficientStudent Learning Tasks: TeacherInput»»Here are some scatter plots withtheir corresponding correlationcoefficients. Can you matcheach graph with its correlationcoefficient?Student Activities:Possible Responses• Students may askabout slope andattempt to calculatethe slope.Teacher’s Support andActions»»Distribute StudentActivitiy 2B and StudentActivitiy 2C.Assessing the Learning»»Circulate the room and askstudents to justify theirselections.»»»Use the slope as an aid tounderstanding positiveand negative correlation.»»Are students matching thecoefficients correctly to thegraphs?»»»Do students understandthat the value of slopeis not the value of thecorrelation coefficient?»»»For extra work use http://istics.net/stat/Correlations/Teacher Reflections»»What do we mean by linearrelationships?»»»In Student Activities 2B andStudent Activitiy 2C we werematching correlation coefficientsto graphs now we are going tointerpret the correlation so wecan make statements about thelinear links between variables.»»»»»»»»»»»»»What is a linear relationship?»»• A line.»A formula.»»»What is a variable?• Something that canvary in value.© Project Maths Development Team 2011 www.projectmaths.ie KEY: » next step • student answer/response 9
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Correlation Coefficient - Project Maths

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