(a)Explainintuitivelywhyapredictionintervalfor Y is muchwiderthanaconfidenceinterval for E(Y ). (b) Explainhowpredictionintervalsfor Y at variousvaluesof x wouldlikelybeinsubstantial error if(i)thevariabilityin Y...

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(a)Explainintuitivelywhyapredictionintervalfor Y is muchwiderthanaconfidenceinterval for E(Y ).

(b) Explainhowpredictionintervalsfor Y at variousvaluesof x wouldlikelybeinsubstantial error if(i)thevariabilityin Y tends toincreaseas x increases, (ii) Y is highlydiscrete, suchas Y = numberofchildreninafamily.

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