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CHEN3010Fall2003FinalExamSoln

CHEN3010Fall2003FinalExamSoln - CHEN 3010 F’u’mfl Exam...

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Unformatted text preview: CHEN 3010 F’u’mfl Exam 50 lw‘émn 22 141 50 SHEETS 22-142 100 SHEETS 22-144 200 SHEETS L‘QfP/IPAU" . 0 _ ‘5 H x , n0. £54.75 iaé S V H ._P[x<wzj _P[>C= a] .4 Pfx; 3 2‘1qu = <50)(0.05 5)(0.<15>5o = 0 070? 22 141 50 SHEETS 22-142 100 SHEETS 22-144 200 SHEETS $61,241,440” OMEN 390 Final Exam ga/wtlon Z . 4. _ ,. .2 _. 437054.7é _ IV '5 , I :,, . V $0.104 W ‘ ‘ 2 =7 4.80—4.71}; ’ Z ‘ 0.0+ . - From Rble 1. W pf; 4 z 42] a 8+!545 0 Mean .. 047751 " u) Ox x: )I i“ ' .0 (A N ()5 «0 3 u ”M. “w ,L. <1 Lfigéwr;; n; wl‘f'n I855 VQV‘LdLéjL/Z 1/ 75374?! A « w m... ”WW“... m. -WWW_., a U . M“ Mu“. 60 la flan CI-IE‘N 3010 FumZ Exam ’Fram 71513 74.1, P- 043' EI/ 'HFiiBCDCf" . E= qu «#55 8m 37% , .rJ mmmzm 2: $3“ .Dflmfi v mhwmzm cm 3; TNN BéACE—érCDF “ ' f ”c: AeE=BDF D5 1565‘ " E:='Aect‘ F: ”BCDI' 50 SHEETS 22-142 100 SHEETS 22-144 200 SHEETS 22-141 @‘fi/IF’AR PMs z i... 5&2 54/9196» F; 04.2 Exam Model for Aluminum Foil Disks Regression Statistics i Multiple R 0.995 R Square 1 98.9% i Adjusted R Square 981%- ! Standard Error 6, Observations 25 :ANOVA .__,___._ intercept m 1.67 -4.0 1.1% I 0.30 21. 0.0% Disk Thickness (mil) -’ Significance 3 df SS MS F F Regression 1 2574 2574.4 467.2 3.9E-06 Residual fl 5 28 5.5 ’— g Total 6 26021 CoefficieA tandard Error tStat P-value Low 29 i RESIDUAL OUTPUT 'fl“ Predicted V 44.6 57.4 n=~7 F=2 Se 3 1.35; {mm aboV‘e '{ZEYM " 315$ from Spreaddge‘i“ Mm 218.4' s \/ s 22.5; 1 O ; Q K. ”of, = '25 Observation Burst Residuals Pressure osid) 1 -O.2 1 .2 2 6.2 -1.2 c m:- 3 12.6 ; 4 22.2 5 25.4 6 2.57 see next (M88, 58 SHEETS ”106‘ iii; JETS 22—144 290 SHEETS ,. 14;: 5:2- 23 213’. r' Alwg'fiafi ‘ v; ,1 57) U53 Residual Normal Scam 3,0 2.0 1.0 0.0 4.0 -2,0 -3.0 —4.0 ‘ 40.0 Prcdmad Bum Prawn Normal Scores Plot of the Rasiduals Rtfldutd Vuluu 5OSHEETS 22-142 100 SHEETS 22-144 200 SHEETS 22-141 L‘lefiMPAflg CHEM 30/0 20an 2 thickn>> pressure. zgczlzz1élowfl IL. th'tfgLE 50/4350!) . V, ' ___§i_ 1.0 L Regression Analysis: pressure versus. thickness The regression equation is pressure = — 6.61 + 6.40 thickness SE Coef ’ T P 1.671 —3.96 0.011 0.2959 21.61 0.000 ‘ Predictor Constant J thicknes 1 s = 2.347 R-Sq = 98.9% R-Sq(adj) = 98.7% ‘ Analysis of Variance Source DF SS MS F Regression 1 2574.4 2574.4 467.17 Residual Error 5 27.6 5.5 Total 6 2602.0 Predicted Values for New Observations 95.0% CI 32.337, 37.592) SE Fit 1.022 ( New Obs Fit 1 34.965 ( 2 Values of Predictors for New Observations "New Obs thicknes l 6.50 g , _. ‘2 . 67cm \ :. : .,.. 4 ‘ := 3) 04.1510,“ 7,19. 2) “map. 4670 C1 rm paromeéars "Ln fortep‘t iZI. 679(257) #03" 5 interCefJf é +2.3 5.4 $ 5/19/76 e 7.2 49 1. 5. P 0.000 95.0%{pI 8.383, 41.547) 155(7 ., 50 SHEETS 22441 I 1 t 50 [aflon Residuals Versus the Fitted Values W . . . . A (raspansels pressure) ' r . I 3 I , , a) a n . == » 410 W5 2 r a 5 -1 ; ’0 , , . (D (D ‘ -2 I. '60 be. . .‘ r—s— ‘ - $3 1 Mia ,_ v 88 4 ~— m 0 1D 2m 30 40 m an : ‘ '“ $3 Fitted Value .V . I w—r- I‘ ‘ c': (“:1 WI 3 N N h} x Normal Probability Plot of the Residuals as (response is pressure) . . . , I» ,, , V ‘m ‘3?) ‘ f 1 _ - .JI ' “ W ‘ .4. 4 I (n * ‘5 I 0 9 u I (u V. ‘1 E '. O z ) 1 h M, -4 .3 -2 -1 u 1 2 3 ,. I W W! Residual “' '1 I , I i g . a ( I . i 9 I 5 i g 4 " " 1 I I r J ( 50 SHEETS 22-142 100 SHEETS 22-144 200 SHEETS 22-141 CHEN 39:0 A I Regression Statistics Multiple R R Square Adjusted R Square Standard Error Observations 16 Coefficients intercept -121.3 Standard Error 55.4 Temperature (°C) 0.127 0.042 Feed Ratio 0.348 Contact Time ms Regression Statistics 0.177 0.1079 _.________L Multiple R 0.959 R Square 92.0% __ Adjusted R Square 90.7% Standard Error 3.624 ‘7 Observations 16 _J_. Ufltfim‘kfi Fa“ Bat-iv”! __l—._—.._._ -0.015 0.717 Multiple R . Standard F Lower Upper Lower Upper Coeffic1ents Error tStat P-value 95% 95% 990% 99.0% Intercept .-130.69 14.15 -9.24 0.0% -161.25 -100.13 -173.30 -88.08 Temperature (°C) 0.134 0.012 11.25 0.108 0.160 0.098 Feed Ratio 0351 0.170 -0.160 \v R Square Adjusted R Square Standard Error Observations 10 L._.___-._.__ Standard Coefficients Error t Stat P-value Upper 95% Intercept 433.01 15.67 -8.5 0.000068% -99.40 Temperature (°C) l 0.139 0.013 10.8 0.000004% 0.11 0.17 0.10 1 l "‘ " Check 44321445)! Choose 7737:)? model highest 73%.} 0.08575 5e j T&FR mode ' " f“ «3 /\ v {1:0 SHEET ., t 3 5L: Si‘iEETS 22-142 1053 SHEET 22 ‘9 41 22—? 44 $5317 ' 3' ’37 é’fi/‘E’P -J CHEU 3010 10.0 15.0 20.0 25.0 30.0 35.0 40.0 45.0 50.0 55.0 00.0 Normal Scores Plot for T 8. FR Mode! Residuals Ruldunl Vfluu ‘970 be. amt-her 1.509095” 9914-9: Iii 09C haré 5OSHEETS 22-142 100 SHEETS 22-144 200 SHEETS 22441 amp/mg CMEM 250:0 Fmal Exam Z. thfib do/u‘étbn Stepwise Regression: Conversion versus Temperature, Feed Ratio, Backward elimination. Alpha—to—Remove: 0.1 ‘ Response is Conversi on 3 predictors, with N = 16 _ Step 1 2 , Constant —121.3 —130.7 » Removefi ; Temperat 0.127 0.134 , ‘ T-Value 3.01 11.25 Contact "2W6 ) P—Value 0.011 0.000 ‘ ‘1 . T 4 F 1‘ Feed Rat 0.35 0.35 leaves v *'~ 4 T—Value 1.97 2.07 \ ' V P—Value 0.073 0.059 Ln MOM 5 Contact —0.02 .: T—Value -0.18 i P—Value 0.863 S 3.77 3.62 R-Sq 91.98 91.96 R—Sq(adj) 89.98 90.72 C—p 4.0 2.0 PRESS 336.295 313.994 .R—Sqipred) 84.16 85.21 Regression Analysis: Conversion versus Temperature, Feed Ratio ,9 ,mr.............,,... Wmmmm wwmm. W'uiwrw'flmklmwmu’ww W... , . ’ The regression equation is 1 Conversion = — 131 + 0.134 Temperature + 0.351 Feed Ratio ,1 ”M—MWWW-uw Predictor Coef SE Coef T P Constant -130.69 14.15 —9.24 0.000 Temperat 0.13396 0.01191 11.25 0.000 Feed Rat 0.3511 0.1696 2.07 0.059 r“ S = 3.624 R—Sq = 92.0% R—Sq(adj) = 90.7% PRESS = 313.994 R—Sq(pred) = 85.21% Meéwy? see next page 50 SHEETS iDi'} SHEETS 22-? 4‘; 22-142 3 If, } e; "at? " 1W3)": 22—144 200 SHEETS Residual 3 CI-IEA/ 30/0 Residual 3 Flflaz, Residuals Versus Feed Rat (response is Conversi) Feed Rat Residuals Versus the Fitted Values (response is Conversi) 20 30 4o 50 Fitted Value _ Same mum M, ”55.814 o n pmzaq V l Exam 4L So lu‘lmrz Residuals Versus Temperat (response is Conversi) \= f Residual 1 1 on 1200 1 son Temperat Normal Probability Plot of the Residuals (response is Conversi) Normal Score 50 [Lotion K O/CC .Co ,. N \11 $0 ‘ 288.16 1.0114 1.0275 1.025846 0.001654 1' " ‘ . 1 310.94 0.9934 0.7268 0.73338 0.00658 1 " 338.72 0.9672 0.5363 0.52778 -0.00852 1* ~ 1 366.49 0.9392 0.4028 0.405291 0.002491 l 1 394.27 0.9124 0.3266 0.327172 0.000572 1 , 1 WW 422.05 0.8862 0.2728 0.273773 0.000973 1 _. 5% 1 449.83 0.8575_ 0.234012 0.000388 1, 1 In 1 -— 1 menu: . 1. _ , ,. 1 0.000126 1 , - g§§ 1 1.54 ma—h 5010,52,, Egg —_ - «mtnimb mg _ «33838 -_ «Hg-5 , 231765 __ .1: ,, - :1 , , f . , Q) . . , P€r1wmw€€v PradScted vs Hammad Viscosity ; 00+, . ' ' ‘. \obk5, ' ,,v,e,,f-_ . 63$ ?. Predicted Viscosity 0.6 660M" .. ’ r . ¥ gmrhg'b‘; 0 V . , ,_ _' 0 0.5 1 15 , WWW 5a SHEETS 22-142 we SHEETS 22-144 200 aaems 22-53"; 37 ‘ Iirfififl "0m” Scam Norma: Scone Plot 0! Residuals : ...................................................................................................................................... g ............................................................. . ............................................................ 01134 -D.01 01 04 MM“ Van,“ 0.3 0.3 ‘ 1 >2 Pndlmd Valli" 60d?! Larfi w 'kr‘ég W 6 _€{r‘o(§ mhmmxw om mhumzm can Eur-mm mhmmxm 8w QTNN 55% _. v TNN ..... _ me.c ||_H_—lem£li1r- -l- -A-r-it 1 - 33 x ., verd- mtd- mmwd- $.20 mnmmmwd mhmmmmd mnmmmmd imummmmd waN -\ H mvod- End- Nomd- dtd Bmmmmd mwmvmmd Ewovmmd h-Kmmmod wmmd momd- Fwood wNNd- vmrd nwmvmmd mN-mmmmd Emmvmmd mummmod mvmd. .vwmd- Pom-o- vood- Jomrd mmovmmd mwovmmd Knmmmwd _mnmmmod mmvN mvod v3.0 Twmd Fmod- mmovmmd mmmvmmd mpmmmmd mwovmmd 03.? H wmwd- mmmd anod- $0.0- gmmmvmmd mfimmmmd mwmvmmd mmovmmd Nome fl find ovod MEMO mmod- m~mmmod Emmwmmd mmmwmmd mmovmmd mom; .0 W mdmd mmdd ward Fmvod mnmmmmd Ema-”mod mhmmmmd mmmvmmd mmme [W _ an_m=u_mmm 803935 Saw I! 4 . F _ 4 _ -- L (M F F roocFm F30 EB - - $333 083 memo 555 F .V mod-F-de Edged .- vmdmodd Om< wommrmd mkmmmwé ornmwmé omntod v went-dd Om Wmnmmod mnmmmmé Nvmmmdd Nvamod _. Nwamod d -O< F rmowwmd mummmm...» memd mwvmood F omvmdod L ,m< M VN6+W9¢6H A : . ., mnommwflv mmovmflmm mmmommflo _- mmmommfld O m M $on 0 mnommm v mmmmv o wmwwdo o .- Frmmvoo d - - E mNmoEd mfiwn vm Emmd mnmmmwé mvmomme mvgdd t- mvvrdd mmvd _ m>m> n. u. du— ms. Hod 0mm 850w an.“ .0005. :ofimmEoM .xb mcafi #r 23m... <>O_z-< m w. . -. L Eonood oomtod NNmX-uod omvmood momemmd mevood mviod * Oww E: m .m, wa mwmmwod . mmood mnwomod mwowwd mwovmod WNvod- Fomtm. J: Etc $3 mm: 53 mod. memcoo m Egg F95 F F F F . o - %%%i F- F- - 5, - EEEEEH ii 1 EEEE F F- F- m gag $2 F- F- F- 0 7 %%§ 3.0 F F- F m ,5 Egg F80 3 ,2 _.. all .. F m m 4. H 50 SHEETS 100 EHEETS 22-144 200 SHEETS 22-141 22-14 £7 . Lemma CHEM 30/0 . Flo/Mi Exam 1 fies/arbor) Normal Probability Plot for Excel e ML Estimates — 95% Cl ”WA-44.4....“ We ,..~;..»W.M~; .4 .. :4...” in, __;_ W... ._ .. W 4 . , ,. .7 “09 r at 00' ewe-6155:! .. Mlfll‘bflah So iwtbtbizfl: / 93 . mocked. Factorial Desi n g in" wnbiockqni W Full Factorial Design Factors: 3 Base Design: 3, 8 Runs: 32 Replicates: 4 Blocks: 4 Center pts (total) : 0 Block Generators: replicates All terms are free from aliasing Fractional Factorial Fit: y versus A, B, C Estimated Effects and Coefficients for y (coded units) W”. .. AWW FM .4 4.4,... “m. mp. .. Term Effect Coef SE Coef T P Constant 0.49500 0.01753 28.24 0.000 Block 1 -o.07412 0.03037 -2.44 0.024 2 0.00775 0.03037 0.26 0. 801 » 3 0 03037 0.03037 1.00 0. 329 A —0.04250 —0.02125 0.01753 —1 21 0. 239 ' ”32-x 0.02462 0.01231 0.01753 0.70 0. 490 ” c F.. 0.28075 0.14037 0.01753 8.01. 0 000‘? <&-“' rértAJris L“n¢§“" 0.02087 0.01044 0.01753 0.60 ‘0T558’ , A*C 0.06550 0.03275 0.01753 1.87 0.076 “’ B*C 0.04713 0.02356 0.01753 1.34 0.193 A*B*C 0.02963 0.01481 0 01753 0.84 0.408 SOSHEETS 22442 100 SHEETS 22-144 200 SHEETS 22-141 (17 (Qi’MPAu‘ CHEN SOIO . Fina/L 1524.111 Solu‘élofl ’4 I Source DF Seq SS Adj SS Adj M8 F P Blocks 3 0.062186 0.062186 0.020729 2.11 ‘ Main Effects 3 0.649866 0.649866 0.216622 22.03 2—Way Interactions 3 0.055574 0.055574 0.018525 1.88 3-Way Interactions 1 0.007021 0.007021 0.007021 0.71 Residual Error 21 0.206537 0.206537 0.009835 Total 31 0.981184. ._ Mocks not ‘Hiaj 56 r-F-Cafl't' .1 Factorial Dwignl ' 7 L, Full Factorial Design 1, 1 Factors: 3 Base Design: 3, 8 ; Runs: 32 Replicates: 4 1 Blocks: none Center pts (total): 0 i w Analysis of Variance for y (coded units) All terms are free from aliasing Fractional Factorial Fit: y versus A, B, C Estimated Effects and Coefficients for y (coded units) . “.1113 Term Effect Coef SE Coef T P E Constant 0.49500 0.01871 26.46 0.000, 1 A —0.04250 -0.02125 0.01871 —l.14 0.267 1 B 0.02462 0.01231 0.01871 0.66 0.517 ” c 0.28075 0.14038 0.01871 7.50 0.000 6-? reinin A*B 0.02088 0.01044 0.01871 0.56 0.582 :==———~ A*C 0.06550 0.03275 0.01871 1.75 0.093 " B*C 0.04712 0.02356 0.01871 1.26 0.220 A*B*C 0.02963 0.01481 0.01871 0.79 0.436 Analysis of Variance for y (coded units) Source , DF Seq ss Adj ss Adj MS F P? Main Effects 3 0.649866 0.649866 0.216622 19.35 0.000 ‘. 2-Way Interactions 3 0.055574 0.055574 0.018525 1.65 0.203 3—Way Interactions 1 0.007021 0.007021 0.007021 0.63 0.436 Residual Error 24 0.268723 0.268723 0.011197 Pure Error 24 0.268723 0.268723 0.011197 Total 31 0.981184 Unusual Observations for y Obs y Fit SE Fit Residual St Resid 8 0.451000 0.708000 0.052907 —0.257000 —2.80R CHEM 3010 1 Final Exam “unbiaaked“ Normal Probability Plot of the Residuals (response is y) Normal Score Residual Residuals Versus the Fitted Values Residuals Versus the Fitted Values (response is y) , -o.3 0.2 0.3 0.4 as as 0.7 0.5 ‘H‘an 0.3 0.4 0.5 0.6 Filled Value Fitted Value * Eleakfcn3'“lsehefi¢r&-Jl' " j l l i | l ._ 44:3 “46.)! Ghee/<53. l , ‘ ' ct u b lockd Nomal Probability Plot of the Residuals (response la y) i l ('3') w in m l- r- im ‘ a LU UJ LU & Lu UJ M i _ Z I): I “E“ d? U) U) o C O (D Z L”) Q G ‘ I" N ‘ l v- (it <1? *' 5? f2 i ‘Hrwul --D ,2 07' (‘4 N 64 C‘.‘ N b g i m. ‘ 521% ; (respunsa ls y) V23?) .w 1 0 2 T” g ‘ t ‘ ‘l 2 0.1 l l Ti . :1 E on 9-? D: {1.1 0.2 i l l l V. l i k mag: W975 ”5““ W65 tho 01511 0.7 . ...
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