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The relationship (assumed linear) between yield of bourbon Y and aging time X was studied by observing yields Yi from batches that have been allowed to age Xi=2i years, i= 1, 2,..., 6. The results are given below. Find, assuming n=E(Y l X) = B0 + B1X1 the least squares estimates of B0 and B1, and hence the least squares estimates of n. Construct 95% confidence intervals for B0 , B B1, and n0 = B0 + B1x0. Let X0 take the values 2, 4, 6, 8, 10 and 12 and draw the confidence band for the estimated regression equation.

X 2 4 6 8 10 12
Y 3 3.4 4 4.5 4.4 5

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