A medical substance is shipped by airfreight in cartons of 1000 ampules. The data below, involving 10 shipments, contain the following:
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Advanced Statistical Methods

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A medical substance is shipped by airfreight in cartons of 1000 ampules. The data below, involving 10 shipments, contain the following: X, = the number of times carton i was transferred from one aircraft to another Y = the number of ampules broken upon arrival 1 2 3 4 5 6 7 8 9 10 X 1 0 2 3 1 0 1 2 0 Yi 16 9 17 12 22 13 8 15 19 11

i. Fit the Poisson regression model assuming Y, ~ Poisson();) where A, = X(x, 8) = eatsix, is the response function. ii. Estimate of the expected number of broken ampules when X = 0, 1, 2, 3 transfers are made. iii. Plot the Poisson and linear regression functions, together with the data. Which model appears to be a better fit? iv. Management wishes to estimate the probability that 10 or fewer ampules are broken when there is no transfer of the shipment. Use the fitted Poisson regression function to obtain the estimate. v. Obtain an approximate 95% confidence interval for the slope , and interpret it.

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