Statistics Homework Solutions 205

# Statistics Homework Solutions 205 - 205 SUPPLEMENTARY...

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Unformatted text preview: 205 SUPPLEMENTARY EXERCISES FOR CHAPTER 8 StDev 0 0068959 0 20576 1 6887 4 043 StDev 0 013498 0 58342 7 7602 40 45 72 293 ¨ ¨ ¨ P 0 000 0 855 0 665 0 533 0 590 ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¡ ¨ ¡ ¨ ¨ ¨ ¡ ¨ ¨ ¨ ¨ ¨ ¨ ¡ ¨ ¨ ¨ ¨ ¡ T 17 152 0 18702 0 44515 0 64333 0 55548 ¨ ¨ ¨ ¨ ¨ Coef 0 23152 0 10911 3 4544 26 022 40 157 P 0 000 0 069 0 666 0 382 ¨ Quartic Model Predictor Constant x x2 x3 x4 T 32 648 1 9977 0 44206 0 90843 ¨ ¨ ¨ ¡ ¨ (d) Coef 0 22514 0 41105 0 74651 3 6728 ¨ Cubic Model Predictor Constant x x2 x3 ¨ (c) (e) The quadratic model. The coefﬁcient of x3 in the cubic model is not signiﬁcantly different from 0. Neither is the coefﬁcient of x4 in the quartic model. ¨ ¨ ¨ ¨ ¨ ¡ ¨ ¨ ¨ ¨ ¨ ¤ ¨ ¨ ¨ ¨ ¨ ¨ ¡ ¨ ¨ ¥ ¨ ¨ ¨ ¨ ¡ ¨ SS 20.349 0.045513 20.394 P 0 335 0 780 0 000 0 532 0 094 0 925 ¨ ¡ ¡ ¡ ¢ ¨ ¡ Analysis of Variance Source DF Regression 5 Residual Error 10 Total 15 T 1 0123 0 28666 8 3233 0 64672 1 8475 0 09639 ¨ ¨ StDev 0 092621 2 2088 0 30151 8 2231 0 17396 1 5778 0 258 ¨ ¤ Coef 0 093765 0 63318 2 5095 5 318 0 3214 0 15209 2 2679 0 122 ¨ Predictor Constant x1 x2 x2 1 x2 2 x1 x2 0 58931 0 12 ¡¥ 17. (a) 0 21995 ¨ (f) y MS 4.0698 0.0045513 F 894.19 P 0.000 (b) The model containing the variables x1 , x2 , and x2 is a good one. Here are the coefﬁcients along with their 2 standard deviations, followed by the analysis of variance table. P 0 218 0 000 0 000 0 000 ¨ ¨ T 1 2997 7 0805 17 218 4 7279 ¨ ¨ ¡ ¨ ¨ ¨ ¨ ¡ ¨ ¨ ¨ ¨ ¡ ¨ ¨ ¡ Analysis of Variance StDev 0 068181 0 30057 0 13985 0 059211 ¨ Coef 0 088618 2 1282 2 4079 0 27994 ¨ Predictor Constant x1 x2 x2 2 ...
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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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