实验设计与数据处理第七章例题及课后习题答案

例7-1,,,,,,,,,

,水平,丙烯酸用量x1/mL,引发剂用量x2/%,丙烯酸中和度x3/%,甲醛用量x4/mL,吸盐水倍率y,,,

,1,12,0.4,64.5,1.25,34,,,

,2,14.5,0.6,86.5,1.1,42,,,

,3,17,0.8,59,0.95,40,,,

,4,19.5,1,81,0.8,45,,,

,5,22,0.3,53.5,0.65,55,,,

,6,24.5,0.5,75.5,0.5,59,,,

,7,27,0.7,48,0.35,60,,,

,8,29.5,0.9,70,0.2,61,,,

,9,32,1.1,92,1.4,63,,,

,SUMMARYOUTPUT,,,,,,,,

,,,,,,,,,,

,回归统计,,,,,,,,

,MultipleR,0.99300126,,,,,,,

,RSquare,0.986051502,,,,,,,

,AdjustedRSquare,0.972103004,,,,,,,

,标准误差,1.802775638,,,,,,,

,观测值,9,,,,,,,

,方差分析,,,,,,,,

,,df,SS,MS,F,SignificanceF,,,

,回归分析,4,919,229.75,70.69230769,0.000578254,,,

,残差,4,13,3.25,,,,,

,总计,8,932,,,,,,

,,,,,,,,,,

,,Coefficients,标准误差,tStat,P-value,Lower95%,Upper95%,下限95.0%,上限95.0%

,Intercept,18.58484848,3.704122528,5.017341718,0.007399218,8.300555625,28.86914135,8.300555625,28.86914135

,XVariable1,1.644444444,0.126686158,12.98045869,0.000203236,1.29270728,1.996181609,1.29270728,1.996181609

,XVariable2,-11.66666667,3.167153959,-3.683643681,0.021136245,-20.46009577,-2.873237561,-20.46009577,-2.873237561

,XVariable3,0.101010101,0.057584617,1.754116039,0.154272871,-0.058870428,0.26089063,-0.058870428,0.26089063

,XVariable4,-3.333333333,2.111435972,-1.578704435,0.189546861,-9.195619404,2.528952737,-9.195619404,2.528952737

,回归方程：,y=18.585+1.644x1-11.667x2+0.101x3-3.333x4,,,,,,,

,因素主次,x1>x2>x3>x4,,,,,,,

,又x3x4对应的偏回归系数不显著，故归入残差项，重新进行回归分析如下：,,,,,,,,

,SUMMARYOUTPUT,,,,,,,,

,,,,,,,,,,

,回归统计,,,,,,,,

,MultipleR,0.986424302,,,,,,,

,RSquare,0.973032904,,,,,,,

,AdjustedRSquare,0.964043872,,,,,,,

,标准误差,2.046677524,,,,,,,

,观测值,9,,,,,,,

,方差分析,,,,,,,,

,,df,SS,MS,F,SignificanceF,,,

,回归分析,2,906.8666667,453.4333333,108.2466844,1.96111E-05,,,

,残差,6,25.13333333,4.188888889,,,,,

,总计,8,932,,,,,,

,,,,,,,,,,

,,Coefficients,标准误差,tStat,P-value,Lower95%,Upper95%,下限95.0%,上限95.0%

,Intercept,20.39333333,2.54973637,7.998212511,0.000203717,14.1543532,26.63231346,14.1543532,26.63231346

,丙烯酸用量x1/mL,1.72,0.122040269,14.09370874,7.9655E-06,1.421378221,2.018621779,1.421378221,2.018621779

,引发剂用量x2/%,-10.33333333,3.051006715,-3.386860239,0.014732564,-17.79887781,-2.867788859,-17.79887781,-2.867788859

,简化后的方程非常显著，两偏回归系数也都显著，所以得到最终的二元线性方程：,,,,,,,,

,y=y=18.585+1.644x1-11.667x2,,,,,,,,

例7-2,,,,,,,,,

,序号,废弃塑料质量x1/kg,改性剂用量x2/kg,增塑剂用量x3/kg,混合剂用量x4/kg,x1x2,x3x3,附着力评分y,

,1,14,7,12,58,98,144,40,

,2,16,10,18,68,160,324,45,

,3,18,13,5,56,234,25,90,

,4,20,5,14,66,100,196,41,

,5,22,8,19,54,176,361,40,

,6,24,11,8,64,264,64,90,

,7,26,15,16,52,390,256,87,

,8,28,6,20,62,168,400,40,

,9,30,9,10,50,270,100,48,

,10,32,12,17,60,384,289,100,

,SUMMARYOUTPUT,,,,,,,,

,,,,,,,,,,

,回归统计,,,,,,,,

,MultipleR,0.997692974,,,,,,,

,RSquare,0.995391271,,,,,,,

,AdjustedRSquare,0.986173814,,,,,,,

,标准误差,3.039793997,,,,,,,

,观测值,10,,,,,,,

,方差分析,,,,,,,,

,,df,SS,MS,F,SignificanceF,,,

,回归分析,6,5987.178957,997.8631596,107.9897866,0.001361273,,,

,残差,3,27.72104263,9.240347544,,,,,

,总计,9,6014.9,,,,,,

,,,,,,,,,,

,,Coefficients,标准误差,tStat,P-value,Lower95%,Upper95%,下限95.0%,上限95.0%

,Intercept,275.8513061,46.78305189,5.896393993,0.009738124,126.9667555,424.7358568,126.9667555,424.7358568

,废弃塑料质量x1/kg,-9.164049588,1.288022499,-7.114821051,0.005713789,-13.26311203,-5.064987146,-13.26311203,-5.064987146

,改性剂用量x2/kg,-21.90324594,3.378473063,-6.483179097,0.007449139,-32.65505506,-11.15143683,-32.65505506,-11.15143683

,增塑剂用量x3/kg,-21.1426109,2.60375725,-8.120039186,0.003904616,-29.42892854,-12.85629326,-29.42892854,-12.85629326

,混合剂用量x4/kg,1.402877792,0.19103293,7.343643785,0.005217697,0.794925749,2.010829836,0.794925749,2.010829836

,x1x2,1.16458603,0.13814913,8.429919396,0.003502885,0.724933842,1.604238219,0.724933842,1.604238219

,x3x3,0.727523817,0.097580598,7.4556196,0.004995562,0.416978804,1.038068829,0.416978804,1.038068829

,回归方程：,y=275.851-9.164x1-21.903x2-21.143