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1、精選優(yōu)質(zhì)文檔-傾情為你奉上精選優(yōu)質(zhì)文檔-傾情為你奉上專心-專注-專業(yè)專心-專注-專業(yè)精選優(yōu)質(zhì)文檔-傾情為你奉上專心-專注-專業(yè)化工數(shù)據(jù)分析與處理(課后作業(yè))第一章 誤差原理與概率分布1、某催化劑車間用一臺包裝機包裝硅鋁小球催化劑,額定標準為每包凈重25公斤,設(shè)根據(jù)長期積累的統(tǒng)計資料,知道包裝機稱得的包重服從正態(tài)分布,又其標準差為0.75公斤,某次開工后,為檢驗包裝機的工作是否正常,隨機抽取9包催化劑復(fù)核其凈重分別為:24.8525.3025.9026.2024.4025.5525.5025.7525.60試問包裝機目前的工作狀況如何?解:先做原假設(shè) 假設(shè)H0:0構(gòu)造統(tǒng)計量:ZN(0,1)xi/

2、n=25.450.75025得:Z1.8查表得: ( 1.8 ) = 0.9641 給出適當(dāng)?shù)?,取0.05,1- = 0.95 R0 , 估回歸方程有效。方法二:用fortran最小二乘法擬合程序運行:得到 B = 323.085 C = 35481回歸方程為: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 非線性回歸分析1、T.L.King在不同溫度t及壓力p下測得SO2氣體的比容v值列于下表:現(xiàn)試用以下四種二參數(shù)方程擬合實驗數(shù)據(jù):1).Van der Waals: 2).Lorentz: 3) Berthelot: 4)Redilich Wong 試求出各種狀態(tài)方程中的參數(shù),并比較各種狀態(tài)方程用于描述SO2氣體p-v-T性質(zhì)的優(yōu)劣。T()P(atm)V(cm/g)氣體用量(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:根據(jù)擬合計算結(jié)果,可以

6、得出:Berthelot和Redilich Wong方程用于描述SO2氣體的p-v-T性質(zhì)比較好,其余倆個差一些,Lorentz最差。Redilich Wong的平均絕對誤差最小,Berthelot的平均相對誤差最小,Lorentz的平均絕對誤差和平均相對誤差最大。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擬合過程: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擬合過程: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擬合過程: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擬合過程: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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