LINEAR REGRESSION

The data set consisting of{(xi,yi)}1inhas been generated under the model

yi=0+1xi+ifor 1in,(1)

whereiN(0,2).

1. (a)For a new observationxnewR,please state a confidence interval for0+1xnew.Please provide the theoretical justification.
2. (b)For a new observationxnewR,please construct a prediction interval forynewN(0+1xnew,2).(You do not have to prove this.)