MAT-240 INTRODUCTION TO
STATISTICS MILESTONE 4 QUESTIONS
WITH CORRECT ANSWERS
Twosbagsseachscontainsticketssnumbereds1stos10.sJohnsdrawssasticketsfromseachsbagsfives
times,sreplacingsthesticketssafterseachsdraw.sHesrecordssthesnumbersonsthesticketsforseach
sdrawsfromsbothsthesbags:
Bags1Bags2Draws124Draws245Draws313Draws464Draws579
Forsthesthesfirstsbag,sthesmeansiss4sandsthesstandardsdeviationsiss2.5.Forsthessecondsbag,s
thesmeansiss5sandsthesstandardsdeviationsiss2.3.
UsingsthesformulasbelowsorsExcel,sfindsthescorrelationscoefficient,sr,sforsthisssetsofsticketssJ
ohnsdrew.sAnswerschoicessaresroundedstosthesnearestshundredth.s-
sans✔✔ANSWERsIS:s0.75
Forsassetsofsdata,sxsissthesexplanatorysvariable.sItssmeansiss8.2,sandsitssstandardsdeviation
siss1.92.sForsthessamessetsofsdata,sysissthesresponsesvariable.sItssmeansiss13.8,sandsitsssta
ndardsdeviationsiss3.03.sThescorrelationswassfoundstosbes0.223.
Selectsthescorrectsslopesandsy-interceptsforsthesleast-squaressline.s-sans✔✔Slopes=s0.35
y-intercepts=s10.9
Jessestakesstwosdataspointssfromsthesweightsandsfeedscostsdatassetstoscalculatesasslope,s
orsaveragesratesofschange.sAshamstersweighsshalfsaspoundsandscostss$2spersweekstosfeed
,swhilesasLabradorsRetrieversweighss62.5spoundssandscostss$10spersweekstosfeed.
Usingsweightsassthesexplanatorysvariable,swhatsissthesslopesofsaslinesbetweensthesestwosp
oints?sAnswerschoicessaresroundedstosthesnearestshundredth.s-sans✔✔$0.13s/slb.
Asbanksmanagersdeclares,swithshelpsofsasscatterplot,sthatsthesnumbersofshealthsinsurance
sssoldsmayshavessomesassociationswithsthesnumbersofsinchessitssnows.sHowsmanyspolicie
ssweressoldswhensitssnoweds2stos4sinches?s-sans✔✔350
WhichsofsthesfollowingsstatementssissTRUE?s-
sans✔✔Highscorrelationsdoessnotsalwayssimplyscausation.
Datasforslengthsofsthestails(insmillimeters)sandsages(insdays)sofstadpolessissenteredsintosasst
atisticsssoftwarespackagesandsresultssinsasregressionsequationsofsŷs=s15s-s1.5x.
STATISTICS MILESTONE 4 QUESTIONS
WITH CORRECT ANSWERS
Twosbagsseachscontainsticketssnumbereds1stos10.sJohnsdrawssasticketsfromseachsbagsfives
times,sreplacingsthesticketssafterseachsdraw.sHesrecordssthesnumbersonsthesticketsforseach
sdrawsfromsbothsthesbags:
Bags1Bags2Draws124Draws245Draws313Draws464Draws579
Forsthesthesfirstsbag,sthesmeansiss4sandsthesstandardsdeviationsiss2.5.Forsthessecondsbag,s
thesmeansiss5sandsthesstandardsdeviationsiss2.3.
UsingsthesformulasbelowsorsExcel,sfindsthescorrelationscoefficient,sr,sforsthisssetsofsticketssJ
ohnsdrew.sAnswerschoicessaresroundedstosthesnearestshundredth.s-
sans✔✔ANSWERsIS:s0.75
Forsassetsofsdata,sxsissthesexplanatorysvariable.sItssmeansiss8.2,sandsitssstandardsdeviation
siss1.92.sForsthessamessetsofsdata,sysissthesresponsesvariable.sItssmeansiss13.8,sandsitsssta
ndardsdeviationsiss3.03.sThescorrelationswassfoundstosbes0.223.
Selectsthescorrectsslopesandsy-interceptsforsthesleast-squaressline.s-sans✔✔Slopes=s0.35
y-intercepts=s10.9
Jessestakesstwosdataspointssfromsthesweightsandsfeedscostsdatassetstoscalculatesasslope,s
orsaveragesratesofschange.sAshamstersweighsshalfsaspoundsandscostss$2spersweekstosfeed
,swhilesasLabradorsRetrieversweighss62.5spoundssandscostss$10spersweekstosfeed.
Usingsweightsassthesexplanatorysvariable,swhatsissthesslopesofsaslinesbetweensthesestwosp
oints?sAnswerschoicessaresroundedstosthesnearestshundredth.s-sans✔✔$0.13s/slb.
Asbanksmanagersdeclares,swithshelpsofsasscatterplot,sthatsthesnumbersofshealthsinsurance
sssoldsmayshavessomesassociationswithsthesnumbersofsinchessitssnows.sHowsmanyspolicie
ssweressoldswhensitssnoweds2stos4sinches?s-sans✔✔350
WhichsofsthesfollowingsstatementssissTRUE?s-
sans✔✔Highscorrelationsdoessnotsalwayssimplyscausation.
Datasforslengthsofsthestails(insmillimeters)sandsages(insdays)sofstadpolessissenteredsintosasst
atisticsssoftwarespackagesandsresultssinsasregressionsequationsofsŷs=s15s-s1.5x.
