Question

A substance used in biological and medical research is shipped by airfreight to
users in cartons of 1,000 ampules. The data below involving 10 shipments,
were collected on the number of times the carton was transferred from one
aircraft to another over the shipment route (X) and the number of ampules
found to be broken upon arrival (Y).
i: 1 2 3 4 5 6 7 8 9 10
Xi: 1 0 2 0 3 1 0 1 2 0
Yi: 16 9 17 12 22 13 8 15 19 11

f. Because of changes in airline routes, shipments may have to be
transferred more frequently than in the past. Estimate the mean
breakage for the following numbers of transfers: X = 2, 4. Use separate
99% confidence intervals and interpret your results.
g. The next shipment will entail two transfers. Obtain a 99% prediction
interval for the number of broken ampules for this shipment. Interpret
your prediction interval.
h. Conduct an F test to decide whether β1 is significant different from 0;
use a level of significance of 0.05. State the hypotheses, decision rule,
and conclusion.
i. Determine the coefficient of determination (R^2) and correlation
coefficient (r). What proportion of the variation in Y is accounted for
by introducing X into the regression model?

Answer 1

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Answer 2

Use appropriate plot to investigate the type of relationship between the two variables. Report your view.