Question: Let Y = 2 + 3 x i + x i 2 + i , i = 1 , 2 , . . . ,

Let Y=2+3xi+xi2+i,i=1,2,...,n. Assume ii.i.dN(0,2). Given the following observations: (0 , 2.1) , (1 , 6) , (1 , 5.9) , (1.1 , 6.1) , (2,7)

i.) Estimate and find a 95% confidence interval for

ii.) Find a 95% prediction interval for x = 2.2

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