Statistics Homework Solutions 192

Statistics Homework Solutions 192 - 192 CHAPTER 8 (b) No....

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Unformatted text preview: 192 CHAPTER 8 (b) No. The change in the predicted flash point due to a change in acetic acid concentration depends on the butyric acid concentration as well, because of the interaction between these two variables. 13 897 F. ¨ ¡¥ ¡ 1 3897 10 ¤ ¨ ¡ (c) Yes. The predicted flash point will change by ¡ yi ¡ Fitted Value y 5399 17819 5611 42732 5546 73182 5291 35236 4429 87200 4141 43494 ¡ ¨ ¡ ¨ ¡ ¨ ¨ ¨ ¨ ¡ ¨ yi ¡ ¤ 1 y 2 ¥ ¡ ¨ ¨ 1990600. 13610 811 ¨ 0 979487 ¨ 71 6257. There are 2 and 3 degrees of freedom. 0 0029. Since P ¨ ¨ ¡ £ ¥ ¡ ¤£ ¡ £ ¤ ¡ £ ¡ ¡ ¡ ¡ £ ¡ £ ¡ (f) Yes. From the F table, 0 001 P 0 01. A computer package gives P hypothesis H0 : β1 β2 0 can be rejected at the 5% level. 0 05, the ¨ ¡ ¡¥ SST SSE 2 SSE 3 ¨ ¡ 3 ∑n i ¡ ¨ ¡ 40832 432, SST SSE SST SSR 2 SSE 3 ¨ 1 ¨ (e) F SSE n ¨ (d) R2 ¡ (c) s2 ∑6 1 e2 i i ¡ (b) SSE y 5390 5610 5670 5140 4480 4130 Residual eyy 9 17819 1 42732 123 26818 151 35236 50 12800 11 43494 ¡ x 138 140 146 148 152 153 yi for each i. They are shown in the following table. ¡ 15. (a) The residuals are the values ei ¨ ¡ ¡ ¨ ¡ ¡ ¡ ¡ 0 17591 3 0 0 18393 4 1 ¨ ¥¨ ¤ ¨ 0 17918 5 7 ¤ ¢¥ ¨ ¤ ¨ 0 17326 0 5 ¡¥ ¨ ¢¥ ¨ ¤ ¨ ¢ 1 18957 2 0711. ¨ ¨ ¡ 17. (a) y (b) 0.17918 (c) PP is more useful, because its P-value is small, while the P-value of CP is fairly large. (d) The percent change in GDP would be expected to be larger in Sweden, because the coefficient of PP is negative. Coef 0 012167 0.043258 2.9205 StDev 0.01034 0.043186 0.038261 ¡ ¨ ¡ Predictor Constant Time Time2 T 1 1766 1.0017 76.33 ¨ 19. (a) P 0.278 0.350 0.000 ...
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This note was uploaded on 12/20/2011 for the course STA 3163 taught by Professor Mattgilg during the Fall '11 term at UNF.

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