learning objective: concept development: association between two categorical...
TRANSCRIPT
NAME:___________________________ Math_______,Period____________Mr.Rogove Date:__________
G8M6L10:DetermininganAssociationBetweenCategoricalVariables1
Learning Objective:Wewilluserowrelativefrequenciesandcolumnrelativefrequenciestodetermineifthereisanassociationbetweentwocategoricalvariables.(G8M6L10)Concept Development:
ASSOCIATION BETWEEN TWO CATEGORICAL VARIABLES
No Association
Association
Thismeansthatknowingthevalueofonevariableprovidesnoinformationaboutthevalueoftheothervariable.
Knowingthevalueifonevariablewillprovideinformationaboutthevalueoftheothervariable.
Ifrowrelativefrequencies(orcolumnrelativefrequencies)areaboutthesameforalloftherows(orcolumns),itisreasonabletosaythereisnoassociationbetweenthetwovariables.
Iftherowrelativefrequencies(orcolumnrelativefrequencies)arequitedifferentforsomeoftherows(orcolumns),itisreasonabletosaythereisanassociationbetweenthetwovariables.
Example:SmartphoneUseandGender
UseSmartphone
DonotUseSmartphone
Total
Male
30 10 40
Female
45 15 60
Total
75 25 100
Example:SmartphoneUseandAge
UseSmartphone
DonotUseSmartphone
Total
Under40
yearsofage
45 5 50
40yearsofageorolder
30 20 50
Total75 25
100
NAME:___________________________ Math_______,Period____________Mr.Rogove Date:__________
G8M6L10:DetermininganAssociationBetweenCategoricalVariables2
Guided Practice: StepsforDeterminingWhetherorNotThereisanAssociation1.CalculateRowRelativeFrequenciesandColumnRelativeFrequencies.2.Observetherowrelativefrequenciesforeachrow.Iftheyaresimilar,thereisnoassociation.3.Iftherearedifferences,statetheassociation.BelowisthedatacollectedfromoursurveythatcapturesgenderandourfavoritesporttoWATCH.
Baseball Basketball Football Hockey Soccer Grand Total
Female 10 8 7 3 12 40 Male 12 9 8 4 14 47 Grand Total 22 17 15 7 26 87 1.Fillinthetablebelowwiththerowrelativefrequenciesofeachsportwatchedforthemalerowandthefemalerow.
Baseball Basketball Football Hockey Soccer Grand Total
Female
1.00 Male
1.00
2.Isthereanassociationbetweengenderandthetypeofsportsweliketowatch?Explain.3.Fillinthetablebelowwiththecolumnrelativefrequenciesofeachgenderforthecolumnsrelatedtosportswewatch.
Baseball Basketball Football Hockey Soccer
Female Male Grand Total 1.00 1.00 1.00 1.00 1.00
4.Isthereanassociationbetweenthetypeofsportsweliketowatchandourgender?Explain.
NAME:___________________________ Math_______,Period____________Mr.Rogove Date:__________
G8M6L10:DetermininganAssociationBetweenCategoricalVariables3
Belowisdatacollectedfromoursurveycapturinggenderandmoviepreference.1.Fillinthetablebelowthatsummarizesthedata.
• Therewere47boyssurveyedand87peopletotal
• 18boyslikedactionmovies
• 18girlslikedcomedies • 1boylikeddramas• 27studentsoveralllikedaction
movies• 33studentsoverallliked
comedies• 5studentsoveralllikeddramas
MoviePreference Action Comedy Drama Science
FictionTOTAL
Male
Female
TOTAL
2.IftherewereNOassociationbetweengenderandmoviepreference,wouldyouexpectmoreboysthangirlstolikedramasorlessboysthangirlstolikedramamovies?Explain.3.Fillinthetablebelowwithrowrelativefrequenciesofeachmoviepreferenceforbothgenders.
MoviePreference Action Comedy Drama Science
FictionTOTAL
Male Female
4.Ifyouweretoselectastudentatrandom,whatmovietypewouldyouthinktheyprefer?Explainwhyyoumadethischoice.
NAME:___________________________ Math_______,Period____________Mr.Rogove Date:__________
G8M6L10:DetermininganAssociationBetweenCategoricalVariables4
5.Ifyoufoundoutthattherandomlyselectedstudentismale,wouldyoupredictthattheypreferredcomedies?Whyorwhynot?6.Doesknowingthegenderofastudenthelpyoumakepredictwhattypeofmovietheywilllike?7.Fillinthetablebelowwiththecolumnrelativefrequenciesofeachgenderforthemoviepreferences.
MoviePreference Action Comedy Drama Science
FictionMale Female TOTAL
8.Ifyouweretoselectastudentatrandomwouldyouexpectthemtobeaboyoragirl?Explainyouranswer.9.Ifyouweretoldthattherandomlyselectedstudentpreferredtowatchdramas,wouldyouthinktheywereaboy?10.Isthereanassociationbetweenthemovieswelikeandourgender?
NAME:___________________________ Math_______,Period____________Mr.Rogove Date:__________
G8M6L10:DetermininganAssociationBetweenCategoricalVariables5
Independent Practice: Oursurveyalsolookedattheamountofsleepandhowstudentsgottoschool.Belowisthedatapresentedinatwowaytable.
AmountofSleep Lessthan6hours
Between6and8hours
Morethan8hours
Total
Modeoftransportation
Bike
0 9 12 21
Walk
0 9 9 18
Incar/scooter
3 20 25 48
Total
3 38 46 87
1.Iftherewasnoassociationbetweenhowstudentsgettoschoolandtheamountofsleeptheygeteachnight,wouldyouexpectthatmorebikeridersgetoverhoursofsleeporlessthan8hoursofsleep?Explainyouranswer.2.Drawarowrelativefrequencytableofeachofthenightlysleepamountsforthespecificmodesoftransportation.
AmountofSleep Lessthan6hours
Between6and8hours
Morethan8hours
Total
Modeoftransportation
Bike
Walk
Incar/scooter
3.Dothesedatasuggestanassociationbetweentheamountofsleepstudentsgetandhowtheygettoschool?Explainyouranswers.
NAME:___________________________ Math_______,Period____________Mr.Rogove Date:__________
G8M6L10:DetermininganAssociationBetweenCategoricalVariables6
Activating Prior Knowledge: Apregnantwomanwilloftenundergoanultrasoundtesttomonitorherbaby’shealth.Thesetestscanalsobeusedtopredictthegenderofthebaby,butit’snotalways100%accurate.Below,dataongenderpredictedbyultrasoundandactualgenderofthebabyfor1,000babiesissummarizedbelow.
PredictedGender
Female
Male
Actual
Gender Female
432 48
Male
130 3901.Whatistheproportionofthe1,000babieswhowerepredictedtobefemalebutwereactuallymale?2.Forthebabiespredictedtobefemale,whatproportionofthepredictionswerecorrect?3.Forthebabiespredictedtobemale,whatproportionofthepredictionswereincorrect?Closure: GiveexitTicketfromLesson14?(canbepage5ofthelessonhandout)Notes: Thisislesson14fromModule6Grade8