Question

) A substance used in biological and medical research is shipped by air fright 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 shipment route (X) and the number of ampules found to be broken upon arrival (Y). Assume a simple linear regression is appropriate. Data: Airfreight.csv a) (2) Verity that the fitted regression line goes through the point (X ̅,Y ̅) b) (2) 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. Use separate 99 percent confidence intervals. Interpret your results c) (2) Next shipment will entail two transfers. Obtain a 99 percent prediction interval for the number of broken ampules for this shipment. Interpret your prediction interval. d) (2) In the next several days, three independent shipments will be made, each entailing two transfers. Obtain a 99 percent prediction interval for the mean number of ampules broken in three shipments.

X	Y
1	16
0	9
2	17
0	12
3	22
1	13
0	8
1	15
2	19
0	11

Answer 1