For theScottishhillracesdata,alinearmodelcanpredictmensrecordtimesfromwomens record times. (a) Showthescatterplotandreportthepredictionequation.Predictthemensrecordtime for theHighlandFling,forwhichtimeW=490.05minutes. (b) Findandinterpretthecorrelation. (c) WecouldimposethenaturalconstraintthatwhentimeW = 0, thentimeM = 0.
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For theScottishhillracesdata,alinearmodelcanpredictmen’srecordtimesfromwomen’s record times.
(a) Showthescatterplotandreportthepredictionequation.Predictthemen’srecordtime for theHighlandFling,forwhichtimeW=490.05minutes.
(b) Findandinterpretthecorrelation.
(c) WecouldimposethenaturalconstraintthatwhentimeW = 0, thentimeM = 0. Fitthe model E(Yi) = βxi. (In R, youcanuseacommandsuchas lm(timeM ∼ -1 +timeW, data=Races).) Interprettheestimatedslope.
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Foundations Of Statistics For Data Scientists With R And Python
ISBN: 9780367748456
1st Edition
Authors: Alan Agresti
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