*1.21. Airfreight breakage. A substance used in biological and medical research is shipped by air- freight...

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*1.21. Airfreight breakage. A substance used in biological and medical research is shipped by air- freight 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). Assume that first-order regression model (1.1) is appropriate. ' i: 1 2 3 4 5 6 7 8 9 10 3 X: 1 0 2 0 3 1 0 1 2 0 Y: 16 9 17 12 22 13 8 15 19 11 *5.6. Refer to Airfreight breakage Problem 1.21. Using matrix methods, find (1) Y'Y, (2) X'X, (3) X'Y. *5.25. Refer to Airfreight breakage Problems 1.21 and 5.6. a. Using matrix methods, obtain the following: (1) (X'X)-, (2) b, (3) e, (4) H, (5) SSE, (6) s {b}, (7) when X = 2, (8) s {^} when Xh = 2. b. From part (a6), obtain the following: (1) s{b}; (2) s{bo, b}; (3) s{bo}. c. Find the matrix of the quadratic form for SSR. *1.21. Airfreight breakage. A substance used in biological and medical research is shipped by air- freight 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). Assume that first-order regression model (1.1) is appropriate. ' i: 1 2 3 4 5 6 7 8 9 10 3 X: 1 0 2 0 3 1 0 1 2 0 Y: 16 9 17 12 22 13 8 15 19 11 *5.6. Refer to Airfreight breakage Problem 1.21. Using matrix methods, find (1) Y'Y, (2) X'X, (3) X'Y. *5.25. Refer to Airfreight breakage Problems 1.21 and 5.6. a. Using matrix methods, obtain the following: (1) (X'X)-, (2) b, (3) e, (4) H, (5) SSE, (6) s {b}, (7) when X = 2, (8) s {^} when Xh = 2. b. From part (a6), obtain the following: (1) s{b}; (2) s{bo, b}; (3) s{bo}. c. Find the matrix of the quadratic form for SSR.