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1、精选优质文档-倾情为你奉上精选优质文档-倾情为你奉上专心-专注-专业专心-专注-专业精选优质文档-倾情为你奉上专心-专注-专业化工数据分析与处理(课后作业)第一章 误差原理与概率分布1、某催化剂车间用一台包装机包装硅铝小球催化剂,额定标准为每包净重25公斤,设根据长期积累的统计资料,知道包装机称得的包重服从正态分布,又其标准差为0.75公斤,某次开工后,为检验包装机的工作是否正常,随机抽取9包催化剂复核其净重分别为:24.8525.3025.9026.2024.4025.5525.5025.7525.60试问包装机目前的工作状况如何?解:先做原假设 假设H0:0构造统计量:ZN(0,1)xi/
2、n=25.450.75025得:Z1.8查表得: ( 1.8 ) = 0.9641 给出适当的 ,取0.05,1- = 0.95 R0 , 估回归方程有效。方法二:用fortran最小二乘法拟合程序运行:得到 B = 323.085 C = 35481回归方程为:pv/RT=1323.085/v+35481/v2Y=1+XX(1)*X+XX(2)*X*2 IT= 16 XX1= -. XX2= . AVDY= .00150 AV(YC-YE)= .00088 .7387 .73856 -.00014 -.00019 .89770 .7297 .72837 -.00133 -.00182 .93
3、720 .7147 .71563 .00093 .00130 .98720 .7012 .70087 -.00033 -.00047 1.04600 .6850 .68482 -.00018 -.00026 1.11110 .6675 .66635 -.00115 -.00173 1.18760 .6406 .64064 .00004 .00007 1.29700 .6126 .61401 .00141 .00230 1.41440 .5843 .58489 .00059 .00101 1.54800 .5575 .55492 -.00258 -.00463 1.69200 .4980 .50
4、007 .00207 .00415 1.97630 .4513 .45149 .00019 .00042 2.25730 .4016 .40112 -.00048 -.00119 2.59070第六章 非线性回归分析1、T.L.King在不同温度t及压力p下测得SO2气体的比容v值列于下表:现试用以下四种二参数方程拟合实验数据:1).Van der Waals: 2).Lorentz: 3) Berthelot: 4)Redilich Wong 试求出各种状态方程中的参数,并比较各种状态方程用于描述SO2气体p-v-T性质的优劣。T()P(atm)V(cm/g)气体用量(g)505.65167
5、.8100.29487.33850.8828.11845.280755.76772.9460.29488.23749.60315.71023.3311005.69980.1700.29489.67645.66416.34525.28424.40115.2851255.81284.5810.294811.12042.67519.01723.48027.92114.73515020.31423.9131.953325.69518.24151.0227.293763.7304.657720026.61720.6851.953347.49810.59574.1905.8481解:根据拟合计算结果,可以
6、得出:Berthelot和Redilich Wong方程用于描述SO2气体的p-v-T性质比较好,其余俩个差一些,Lorentz最差。Redilich Wong的平均绝对误差最小,Berthelot的平均相对误差最小,Lorentz的平均绝对误差和平均相对误差最大。P(atm)T(K)V(cm3mol-1) P(atm)T(K)V(cm3mol-1)5.651 3234339.840 11.120 3982731.200 7.338 3233256.448 19.017 3981502.720 8.118 3232897.920 27.921 398943.040 5.767 3484668.
7、544 20.314 4231530.432 8.237 3483174.592 25.695 4231167.424 15.710 3481493.184 51.022 423466.797 5.699 3735130.880 63.730 423298.093 9.676 3732922.496 26.617 4731323.840 16.345 3731618.176 47.498 473678.080 24.401 373978.240 74.190 473374.278 5.812 3985413.184 5.812 3985413.184 11.120 3982731.200 11
8、.120 3982731.200 R=82.05 (cm3atm)/(molK)1).Van der Waals: b = 97.346 a = 9.560106 AVDY= 0.01347 AV(YC-YE)= 0.41984拟合过程:Y=82.05*X/(XA(MM)-XX(1)-1000*XX(2)/XA(MM)*2 Fit_TP FINAL RESULTS IT= 37 XX1= 97. XX2= 9560. AVDY= .01347 AV(YC-YE)= .41984 5.6510 5.73921 .08821 .01561 323.00000 7.3380 7.48756 .149
9、56 .02038 323.00000 8.1180 8.32465 .20665 .02546 323.00000 5.7670 5.80771 .04071 .00706 348.00000 8.2370 8.33021 .09321 .01132 348.00000 15.7100 16.16800 .45800 .02915 348.00000 5.6990 5.71698 .01798 .00316 373.00000 9.6760 9.71353 .03753 .00388 373.00000 16.3450 16.47242 .12742 .00780 373.00000 24.
10、4010 24.75192 .35092 .01438 373.00000 5.8120 5.81686 .00486 .00084 398.00000 11.1200 11.11683 -.00317 -.00029 398.00000 19.0170 19.00260 -.01440 -.00076 398.00000 27.9210 27.86377 -.05723 -.00205 398.00000 20.3140 20.13656 -.17744 -.00873 423.00000 25.6950 25.41913 -.27587 -.01074 423.00000 51.0220
11、50.06569 -.95631 -.01874 423.00000 63.7300 65.29609 1.56609 .02457 423.00000 26.6170 26.18744 -.42956 -.01614 473.00000 47.4980 46.03504 -1.46296 -.03080 473.00000 74.1900 71.89145 -2.29855 -.03098 473.000002).Lorentz: b = 279.725 a = 1.470107 AVDY= 0.01640 AV(YC-YE)= 0.52060拟合过程:Y=(82.05*X*(XA(MM)+
12、XX(1)-XX(2)/XA(MM)*2 Fit_TP FINAL RESULTS IT= 16 XX1= 279. XX(2)= .E+08 AVDY= .01640 AV(YC-YE)= .52060 5.6510 5.71977 .06877 .01217 323.00000 7.3380 7.45112 .11312 .01542 323.00000 8.1180 8.27742 .15942 .01964 323.00000 5.7670 5.80808 .04108 .00712 348.00000 8.2370 8.32815 .09115 .01107 348.00000 15
13、.7100 16.11118 .40118 .02554 348.00000 5.6990 5.73156 .03256 .00571 373.00000 9.6760 9.75318 .07718 .00798 373.00000 16.3450 16.56810 .22310 .01365 373.00000 24.4010 24.86898 .46798 .01918 373.00000 5.8120 5.84270 .03070 .00528 398.00000 11.1200 11.21038 .09038 .00813 398.00000 19.0170 19.26616 .249
14、16 .01310 398.00000 27.9210 28.36914 .44814 .01605 398.00000 20.3140 20.54642 .23242 .01144 423.00000 25.6950 26.06636 .37136 .01445 423.00000 51.0220 51.43899 .41699 .00817 423.00000 63.7300 60.24450 -3.48550 -.05469 423.00000 26.6170 27.12197 .50497 .01897 473.00000 47.4980 48.87195 1.37395 .02893
15、 473.00000 74.1900 76.24357 2.05357 .02768 473.000003) Berthelot: b = 66.867 a = 3.300109 AVDY= 0.00542 AV(YC-YE)= 0.25344拟合过程:Y=82.05*X/(XA(MM)-XX(1)-1000*XX(2)/XA(MM)*2/X Fit_TP FINAL RESULTS IT= 31 XX1= 66. XX(2)= .E+07 AVDY= .00542 AV(YC-YE)= .25344 5.6510 5.65982 .00882 .00156 323.00000 7.3380
16、7.34554 .00754 .00103 323.00000 8.1180 8.14466 .02666 .00328 323.00000 5.7670 5.76991 .00291 .00051 348.00000 8.2370 8.24694 .00994 .00121 348.00000 15.7100 15.76584 .05584 .00355 348.00000 5.6990 5.70749 .00849 .00149 373.00000 9.6760 9.68145 .00545 .00056 373.00000 16.3450 16.34953 .00453 .00028 3
17、73.00000 24.4010 24.33563 -.06537 -.00268 373.00000 5.8120 5.82515 .01315 .00226 398.00000 11.1200 11.14515 .02515 .00226 398.00000 19.0170 19.07143 .05443 .00286 398.00000 27.9210 27.94772 .02672 .00096 398.00000 20.3140 20.38333 .06933 .00341 423.00000 25.6950 25.81175 .11675 .00454 423.00000 51.0
18、220 50.98013 -.04187 -.00082 423.00000 63.7300 62.30528 -1.42472 -.02236 423.00000 26.6170 26.89457 .27757 .01043 473.00000 47.4980 48.32239 .82439 .01736 473.00000 74.1900 76.44266 2.25266 .03036 473.000004)Redilich Wong b = 54.223 a = 1.678108 AVDY= 0.00727 AV(YC-YE)= 0.22681拟合过程:Y=82.05*X/(XA(MM)
19、-XX(1)-1000*XX(2)/(XA(MM)*(XA(MM)+XX(1)/X*0.5 Fit_TP FINAL RESULTS IT= 29 XX1= 54. XX2=. AVDY= .00727 AV(YC-YE)= .22681 5.6510 5.69449 .04349 .00770 323.00000 7.3380 7.41036 .07236 .00986 323.00000 8.1180 8.22853 .11053 .01361 323.00000 5.7670 5.78013 .01313 .00228 348.00000 8.2370 8.27332 .03632 .0
20、0441 348.00000 15.7100 15.95104 .24104 .01534 348.00000 5.6990 5.70201 .00301 .00053 373.00000 9.6760 9.67159 -.00441 -.00046 373.00000 16.3450 16.35908 .01408 .00086 373.00000 24.4010 24.52109 .12009 .00492 373.00000 5.8120 5.80958 -.00242 -.00042 398.00000 11.1200 11.09345 -.02655 -.00239 398.0000
21、0 19.0170 18.95057 -.06643 -.00349 398.00000 27.9210 27.79952 -.12148 -.00435 398.00000 20.3140 20.14771 -.16629 -.00819 423.00000 25.6950 25.45854 -.23646 -.00920 423.00000 51.0220 50.58593 -.43607 -.00855 423.00000 63.7300 64.65257 .92257 .01448 423.00000 26.6170 26.33987 -.27713 -.01041 473.00000 47.4980 4
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