HW Solutions Stat 21

HW Solutions Stat 21 - 6.13. F (.95; 4, 48) = 2.5652, S =...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
6.13. F ( . 95; 4 , 48)=2 . 5652, S =3 . 2033; B = t ( . 99375; 48) = 2 . 5953 X h 1 X h 2 X h 3 230 , 000 7 . 50 : 250 , 000 7 . 30 : 280 , 000 7 . 10 : 340 , 000 6 . 90 : 4232 . 17 ± 2 . 5953(147 . 288) 4250 . 55 ± 2 . 5953(146 . 058) 4276 . 79 ± 2 . 5953(145 . 134) 4326 . 65 ± 2 . 5953(145 . 930) 3849 . 913 Y h (new) 4614 . 427 3871 . 486 Y h (new) 4629 . 614 3900 . 124 Y h (new) 4653 . 456 3947 . 918 Y h (new) 4705 . 382 6.14. a. ˆ Y h = 4278 . 37, s { predmean } =85 . 82262, t ( . 975; 48) = 2 . 01063 , 4278 . 37 ± 2 . 01063(85 . 82262), 4105 . 812 ¯ Y h (new) 4450 . 928 b. 12317 . 44 Total labor hours 13352 . 78 6.15. b. Y X 1 X 2 X 3 1 . 000 . 7868 . 6029 . 6446 1 . 000 . 5680 . 5697 1 . 000 . 6705 1 . 000 c. ˆ Y = 158 . 491 1 . 1416 X 1 0 . 4420 X 2 13 . 4702 X 3 d&e. i : 1 2 . . . 45 46 e i : . 1129 9 . 0797 ... 5 . 5380 10 . 0524 Expected Val.: 0 . 8186 8 . 1772 5 . 4314 8 . 1772 f. No g. SSR =2 1 , 355 . 5, SSE =4 , 248 . 8 ,X 2 BP = (21 , 355 . 5 / 2) ÷ (4 , 248 . 8 / 46) 2 = 1 . 2516, χ 2 ( . 99; 3) = 11 . 3449. If X 2 11 . 3449 conclude error variance constant, otherwise error variance not constant. Conclude error variance constant. 6.16. a. H 0 : β 1 = β 2 = β 3 =0 , H a : not all β k =0( k =1 , 2 , 3). MSR , 040 . 2, MSE = 101 . 2, F , 040 . 2 / 101 . 2=30 . 05 ,F ( . 90; 3 , 42) = 2 . 2191. If F 2 . 2191 conclude H 0 , otherwise
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 12/21/2011 for the course STA 2014 taught by Professor Davehatley during the Fall '11 term at UNF.

Ask a homework question - tutors are online