HW Solutions Stat 37

HW Solutions Stat 37 - i: 14 15 16 .12458 .07320 .05640 Yi...

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i : 1 41 51 6 ˆ Y i : . 12458 . 07320 . 05640 e i : . 00458 . 00680 . 00640 Exp. value: . 00923 . 00923 . 01327 13.7. H 0 : E { Y } = γ 0 + γ 2 exp( γ 1 X ), H a : E { Y } 6 = γ 0 + γ 2 exp( γ 1 X ) . SSPE = . 00290, SSE = . 00707, MSPE = . 00290 / 8= . 0003625, MSLF =( . 00707 . 00290) / 5= . 000834, F = . 000834 /. 0003625 = 2 . 30069, F ( . 99; 5 , 8) = 6 . 6318. If F 6 . 6318 conclude H 0 , otherwise H a . Conclude H 0 . 13.8. s { g 0 } = . 01456, s { g 1 } = . 000092, s { g 2 } = . 02277, z ( . 9833) = 2 . 128 . 04823 ± 2 . 128( . 01456) . 01725 γ 0 . 07921 . 00112 ± 2 . 128( . 000092) . 00092 γ 1 . 00132 . 71341 ± 2 . 128( . 02277) . 66496 γ 2 . 76186 13.9. a. g 0 = . 04948, g 1 = . 00112, g 2 = . 71341, g 3 = . 00250 b. z ( . 975) = 1 . 96, s { g 3 } = . 01211, . 00250 ± 1 . 96( . 01211), . 02624 γ 3 . 02124, yes, no. 13.13. g 0 = 100 . 3401, g 1 =6 . 4802, g 2 =4 . 8155 13.14. a. ˆ Y = 100 . 3401 100 . 3401 / [1+( X/ 4 . 8155) 6 . 4802 ] b. i : 1 23 4567 ˆ Y i : . 0038 . 3366 4 . 4654 11 . 2653 11 . 2653 23 . 1829 23 . 1829 e i : . 4962 1 . 9634 1 . 0654 . 2347 . 3653 . 8171 2 . 1171 Expected Val.: . 3928 1 . 6354 1 . 0519 . 1947 . 5981 . 8155 2 . 0516 i : 8 9 1 01 11 21 31 4 ˆ Y i :3 9 . 3272 39 . 3272 56 . 2506 56 . 2506 70 . 5308 70 . 5308 80 . 8876 e i : . 2728 1 . 4272 1 . 5506 . 5494 . 2692 2 . 1308 1 . 2124 Expected Val.: . 1947 1 . 3183 1 . 6354 . 5981 . 0000 2 . 0516 1 . 0519 i : 1 61 71 8 1 9 ˆ Y i :8 0 . 8876 87 . 7742 92 . 1765 96 . 7340 98 . 6263
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This note was uploaded on 12/21/2011 for the course STA 2014 taught by Professor Davehatley during the Fall '11 term at UNF.

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