The relationship (assumed linear) between yeild of bourbon Y and aging time X was studied by observing yields Y-initial from batches that have been allowed to age X-initial = 2i years, i = 1, 2, ..., 6. The results are given below. When the experiment is actually done, the results obtained are those given below. Find, Assuming n= E(Y|X) = beta0- Beta1X, the least squares estimates of beta0 and beta1 and hence the least squares estimate of n. Construct 95% confidence intervals for beta0, beta1, and n0 = beta0 +beta1x0. Use X0 = 2, 4, 6, 8, 10, 12 for computing the confidence band for the estimated regression equation.
Y = 3, 3.4, 4, 4.5, 4.4, 5