PUNTO 2 LISTOModelo LinealModelo exponencialModelo potencialMETODO REGRESION POLINOMIALstsrsrstSrStITXiYi(Yi-Yprom)^2(Yi-Ao-AiXi)^2xyy^2x^2Lny xLny(lny-Ao-A1Xi)^2(lnYi-Yprom)^2LnY^2x^2Log XLog YLog X*Log YLogx^2(LogY-Ao-AiLogX) ^2(Log Yi-Yprom)^2itemXiYiXi^2X^3X^4Yi^2Xi*YiXi^2*Yi(Yi-ao-a1Xi-a2Xi^2)^2(Yi-media y)^21325473.06259.80678703327562593.21887582499.65662747460.02898309670.335318734110.361161575990.47712125471.39794000870.6669868910.22764469170.05923123090.0632450355132592781625752250.0610923322473.06252432217.56253.23894888531281024163.465735902813.86294361120.00097288380.110361521412.011325348160.60205999131.50514997830.90619058290.36247623320.01906793950.020815473824321664256102412851214.5165129033217.56253426430.562517.6424528853104676163.25809653813.03238615210.03113399550.291434147310.6151930511160.60205999131.4149733480.85189884160.36247623320.05210415260.0549678891342616642566761044164.7958626665430.5625473876.56252.53946215782661444493.637586159725.46310311810.0044578380.025714299813.2320330694490.845098041.57978359661.33507202110.71419069720.00451475040.00485001774738493432401144426618622.258207002376.56255734162.56255.79091015782381156493.526360524624.68452367230.00197656640.073757013212.4352185496490.845098041.5314789171.29424983110.71419069720.01333945810.01391143545734493432401115623816666.2363415836162.5625684133.06256.37489782073281681643.713572066729.70857653360.00947277530.007118445813.7906174946640.9030899871.61278385671.45648895220.81557152460.001230870.00134262216841645124096168132826243.637779381133.0625793960.06252.38349443643511521813.663561646132.97205481520.00000358340.018058334513.421683935810.95424250941.5910646071.51826148330.91057876680.00331659860.00340601317939817296561152135131596.766789680260.0625811460.56251.739014526150621161213.828641396542.11505536140.00579474370.000942394714.65849494291211.04139268521.66275783171.73158384311.08449872470.00016288460.000177746781146121133114641211650655660.12816656220.5625912447.56257.56247852819361443.784189633945.4102756070.00018915370.000189153714.32009118551441.0791812461.64345267651.77358330721.16463216180.00005074930.0000356766912441441728207361936528633621.21615760697.5625 10125118.062518.06253461226011443.931825632747.18190759270.0179245730.01792457315.45925280611441.0791812461.70757017611.84277771041.16463216180.00324827550.0033807841101251144172820736260161273445.730757003718.062511145339.06254.462985806174228091963.970291913655.58408678970.00664215740.029704165615.76321787881961.14612803571.72427586961.97624091541.31360947420.00528084970.00560255311114531962744384162809742103880.025031130939.0625121658126.56258.851529423192833642564.060443010564.96708816870.0065288010.068906282416.48719744192561.20411998271.76342799362.1233788851.44990493260.01230534370.01299653091216582564096655363364928148481.6125571076126.5625131761203.062515.2602656607103737212894.110873864269.88485569090.00736285560.097925757816.89928392712891.23044892141.7853298352.19675716981.51400454810.01753671470.018469943413176128949138352137211037176296.0316608323203.0625142064297.56250.49042009128040964004.158883083483.17766166720.00000604170.130277780717.29630850114001.30102999571.8061799742.34989432371.69267904960.02316198150.0245719133142064400800016000040961280256000.2864299101297.5625152366370.562512.2909070939151843565294.18965474296.36205906660.01165549910.153438128917.55320685745291.3617278361.81954393552.47772362591.85430269940.02710001410.02894022591523665291216727984143561518349142.5729611041370.5625162570540.562513.2733798602175049006254.248495242106.21238105120.01959150840.202997368918.04971182176251.39794000871.845098042.57933637011.95423626780.03595492910.03828767821625706251562539062549001750437500.00498988540.5625171927482988544141090104380261039117683975.881296687305718MATRIZ16192298874819192298854414103912029885441410901041768391927483057129.77046783671039138026298860.7670871817760.27558637260.15269607281.5640681018232.3539983861298816.069919771226.390810644327.080424753853.47123539810.15280500010.1625384868MATRIZ INVERSA0.9472268326-0.14930402130.0048563396a015.8978265452 -0.14930402130.0272121024-0.0009490828a13.2466999966FORMULA LINEALIZADA0.0048563396-0.00094908280.0000349807a2-0.0434175449LinealExponencialPotencialAoA1rnYpromXpromAoA1rnYpromAoA1rnYpromSrStmedia Xmedia YSy/xSyrr^221.92543859652.06871345030.97854470131646.75123.25284575250.04542476640.9499328876163.79794294891.63397483690.01538360220.2447124781161.649425665375.88129668730571246.752.328109237214.27585373980.98751093930.9751778552

Sy/xSyr^20.9575497325Sy/xSySy/xSyNOTA: el modelo es adecuado3.044555654114.2758537398 es adecuado0.10443592460.3229105244 es adecuado0.10447316810.1040956249Sy/x>Sy no es adecuado

y =21.9254385965+2.0687134503xy =3.2528457525+0.0454247664xy =1.6339748369+0.0153836022xNOTA: EL MEJOR MODELO QUE DESCRIBE EL SISTEMA ES EL POLINOMIAL DEBIDO A QUE TIENE UNA MAYOR EFICIENCIA Y SU VALOR ES EL MAS CERCANO A 1 SIENDO UN MODELO ADECUADO

=_0+_1 +_2 ^2+

PUNTO 1itxiyiuividu/dxdu/dydv/dxdv/dyxi+1yi+11013-2-12400.5-0.25Xi+10.6462845820.5-0.250.7526123168-1.62762596521-1.0314130999-0.521095305520.61865018760.5947270105Yi+10.60810630.61865018760.5947270105-0.0117612708-0.00809177021-1.1821246156-0.658874739320.64574646560.607699422140.64574646560.6076994221-0.0000534748-0.00044183561-1.1904022694-0.691569634220.6462843110.608106318750.6462843110.6081063187-0.0000000535-0.00000017591-1.1906651417-0.692223668620.646284580.608106499860.646284580.6081064998-0-01-1.1906652587-0.692223995820.646284580.6081064998

OTRA FORMA DE SOLUCION DEL 3Modelo LinealModelo exponencialModelo potencialMETODO REGRESION POLINOMIALstsrsrstSrStITXiYi(Yi-Yprom)^2(Yi-Ao-AiXi)^2xyy^2x^2Lny xLny(lny-Ao-A1Xi)^2(lnYi-Yprom)^2LnY^2x^2Log XLog YLog X*Log YLogx^2(LogY-Ao-AiLogX) ^2(Log Yi-Yprom)^2itemXiYiXi^2X^3X^4Yi^2Xi*YiXi^2*Yi(Yi-ao-a1Xi-a2Xi^2)^2(Yi-media y)^2175.9167.9447.322512334.64430560425154.2894610.415762.32814.2180360346320.19111538380.00001889880.00100915317.79182798895762.32811.88029899141.83186977433.4444628893.53552429720.00018949080.0001903381175.9167.95762.3281437418.32607133204425.13204964610.415154.289391262.077990.00717373155.359225292.0472637.562519692.44842342966626.8851848471.36164.276666119393.62434959420.00000177630.000721616318.28987309358471.36161.963976611.85733249643.647757583.85720412460.00013523160.0001361053292.04728471.3616779704.12166471763967.357954651846626.88609938.03520.08005211953.186225394.4268.4468.722522157.31130967416458.3284678.568915.13644.2253728246398.95970210140.00370055720.000596843417.85377550718915.13641.97506399611.83505610173.62435323733.90087778870.00011356150.0001125716394.4268.48915.1364841767.17888879479657.03060494678.566458.328609795.3297616.10925826293.294225481.6967.7438.902515182.82461075295530.4134583.296673.25614.2150861799344.33039003750.00074127320.001205271717.76695150416673.25611.91216889611.83058866873.50039471373.65638988710.00022718510.0002273283481.6967.76673.2561545138.29080944532346.97618724583.295530.413451779.437972.02802130366.325225574.7669.5517.562511466.6455040165195.824830.255589.05764.2413267526317.08158802220.00052480380.000071850217.98885262215589.05761.87366929271.84198480463.4512703663.51063661840.0000132870.0000135518574.7669.55589.0576417837.94617631237564.85611784830.255195.82388439.50322.94332282250.511225680.8668.7481.802514520.62913885495555.0824719.696538.33964.2297491992342.01752024960.00009411920.000402163117.89077828846538.33961.9077337371.83695673713.50442434073.63944801130.0000757070.0000758527680.8668.76538.3396528690.14005642749884.72492824719.695555.082449183.930520.06094434622.295225770.0469.5517.56259470.81229954844867.784830.254905.60164.2413267526297.06252575010.00153530460.000071850217.98885262214905.60161.84534613741.84198480463.39909954433.40530236690.00001311910.0000135518770.0469.54905.6016343588.33606424064927.05792264830.254867.78340939.31125.98301498920.5112258106.4778.71020.802526726.13973616998379.1896193.6911335.86094.3656431554464.81002675790.00143566870.013418894619.058840160511335.86092.02722725411.89597473243.84357165054.10965033960.00252200480.00253096058106.4778.711335.86091206929.110023128501742.3441496193.698379.189892132.252834.769556229171.995225966.1162232.56259348.58025621094098.8238444370.53214.127134385272.84485419530.00377719950.015047638917.03323823224370.53211.82026715721.79239168953.26263172523.31337252340.00282967510.0028381607966.11624370.5321288935.87713119101550.837130438444098.82270972.990220.778746271167.4862251085.8371.2597.802516456.5477907096111.0965069.447366.78894.2654928184366.10724860480.00007931250.00024616418.1944289847366.78891.93363911251.85247999363.58202777093.73896021750.00004625570.00004642941085.8371.27366.7889632291.49128754269578.69716325069.446111.096524515.369681.26301908810.97022511107.1180.71152.602526505.56226638618643.7776512.4911472.55214.3907385753470.29200879780.00369408020.019862779119.278585236411472.55212.02983001931.90687353473.87062914384.12020990730.00373519540.003746352511107.1180.711472.55211228825.055431131619451.6872146512.498643.777925834.9544715.5169314435109.9352251295.3471.4607.622521831.99435034796807.2765097.969089.71564.2682978693406.93951886340.00044433620.000342052718.21836670159089.71561.97927514761.85369821183.66897880173.91753010990.00006371480.00006451511295.3471.49089.7156866613.48530482622929.68888345097.966807.276649005.693841.6717134681.40422513105.5173.5715.562527787.33925487727754.9855402.2511132.36014.2972854062453.40658321010.00073752920.002254559618.466661862511132.36012.0232936231.86628733913.77604727194.0937170850.00042170180.000425236313105.5173.511132.36011174575.314151123929441.3960725402.257754.985818228.467357.043649379310.7912251467.4563.4277.22259615.78945843944276.334019.564549.50254.1494638614279.88133745430.00191403750.010067983517.21805033744549.50251.8289819541.80208925793.29598873223.34517498810.0018926180.00189893941467.4563.44549.5025306863.94362520697972.99750634019.564276.33288438.458510.994971979446.4442251564.7968.7481.80257613.8460487154451.0734719.694197.74414.2297491992274.0454506180.00208914760.000402163117.89077828844197.74411.81150797991.83695673713.3276617883.28156116140.00007434750.00007585271564.7968.74197.7441271971.84023917621055.52908484719.694451.073288385.019675.22190630932.2952251683.5670.1545.222515546.87247748645857.5564914.016982.27364.249922794355.123548670.00000135160.000000014318.06184375536982.27361.92199843131.8457180183.54746713523.694077970.00000000240.00000000271683.5670.16982.2736583438.78201648752144.6252574914.015857.556489457.379360.31351651510.0132251770.1267.1414.12259976.73266199364705.0524502.414916.81444.206184044294.93762516370.00001417080.00190263117.69198421184916.81441.84584190741.82672252023.3718409813.40713234720.00035663260.00035885851770.1267.14916.8144344767.02572824175063.84404744502.414705.052329918.246240.0012158759.7032251882.673.4710.222514256.63075272556062.845387.566822.764.2959239356354.84331708230.00254760260.00212712218.45496246066822.761.91698004731.86569605993.57650212123.67481250180.00040123320.00040120011882.673.46822.76563559.97646550054.01765387.566062.84500790.58416.616819523910.1442251973.6469.8531.302510913.03344452415140.0724872.045422.84964.2456340098312.64848847930.00096581520.000017382218.02540814495422.84961.86711377981.84385542263.44268786763.48611386680.00000312990.00000327851973.6469.85422.8496399338.64454429407297.78422024872.045140.072378514.902084.85002846730.172225209970.6568.822524375.96081491276989.44984.3698014.2570301445421.44598430540.00202198950.000052228718.122305651298011.99563519461.84880470113.68953972943.98255982990.00000945750.0000098509209970.69801970299960596014984.366989.4691950.610.62517591540.1482251677.251404.311365.11325780.344905378118666.05898955.91144315.834984.99606406087140.59318334130.02633897430.0698203615361.2863656529144315.834938.359849268836.913321605170.8273373895107.74065899460.00076758210.00076929951677.251404.3144315.834912732553.8852071150340657.5840998955.91118666.05810289482.54406126.8790380396352.9855

LinealExponencialPotencialMATRIZ201677.25144315.83491404.3AoA1rnYpromXpromAoA1rnYpromAoA1rnYprom1677.25144315.834912732553.885207118666.05849.62575626840.24551192410.79028503492070.21583.86253.96064874050.0034479590.789151977204.2498032031.84410185860.00081555150.0472492671201.8456660803144315.834912732553.8852071150340657.5840910289482.54406

Sy/xSyr^2Sy/xSySy/xSyMATRIZ INVERSA103.3039736644-2.4377309510.0140220563a073.5514937807 134.532182210424.4573850649Sy/x>Sy no es adecuado0.03825279530.0606197647 es adecuado0.00653019520.0063631321Sy/x>Sy no es adecuado-2.4377309510.0578201002-0.000334157a1-0.3246578214FORMULA LINEALIZADA0.0140220563-0.0003341570.0000019404a20.003310811y =49.6257562684+0.2455119241xy =3.9606487405+0.003447959xy =1.8441018586+0.0008155515xSrStmedia Xmedia YSy/xSyrr^2126.8790380396352.985583.862570.2152.65496430234.3102417810.80034650780.6405545326

NOTA: el modelo es adecuado

NOTA: EL MEJOR MODELO QUE DESCRIBE EL SISTEMA ES EL POLINOMIAL DEBIDO A QUE TIENE UNA MAYOR EFICIENCIA Y SU VALOR ES EL MAS CERCANO A 1 SIENDO UN MODELO ADECUADO

=_0+_1 +_2 ^2+

PUNTO 3

X1X2YX1*X2X1^2X2^2Xi*Yia1YtrasoXtrasoA0A2SrStX2*Y175.9167.975.9115762.328167.90.073030434870.21510.548.72196866170.24714516950.11848127495.3592255154.289292.0472184.0848471.36161440.073030434870.21510.548.72196866170.24714516950.14801645933.1862256626.88394.4268.4283.2698915.1364205.20.073030434870.21510.548.72196866170.247145169515.02730547863.2942256458.328481.6967.7326.76166673.2561270.80.073030434870.21510.548.72196866170.24714516952.26014929936.3252255530.413574.7669.5373.8255589.0576347.50.073030434870.21510.548.72196866170.24714516953.74928207290.5112255195.82680.8668.7485.16366538.3396412.20.073030434870.21510.548.72196866170.24714516950.19741108482.2952255555.082770.0469.5490.28494905.6016486.50.073030434870.21510.548.72196866170.24714516958.74249253770.5112254867.788106.4778.7851.766411335.8609629.60.073030434870.21510.548.72196866170.24714516959.487888737271.9952258379.189966.1162594.99814370.53215580.073030434870.21510.548.72196866170.247145169513.823596331267.4862254098.821085.8371.2858.31007366.78897120.073030434870.21510.548.72196866170.24714516950.28650015940.9702256111.09611107.1180.71178.2112111472.5521887.70.073030434870.21510.548.72196866170.247145169522.1179969499109.9352258643.7771295.3471.41144.081449089.7156856.80.073030434870.21510.548.72196866170.24714516953.10166459011.4042256807.27613105.5173.51371.6316911132.3601955.50.073030434870.21510.548.72196866170.24714516955.05193565910.7912257754.9851467.4563.4944.31964549.5025887.60.073030434870.21510.548.72196866170.24714516959.086224102246.4442254276.331564.7968.7971.852254197.74411030.50.073030434870.21510.548.72196866170.24714516958.23712551342.2952254451.0731683.5670.11336.962566982.27361121.60.073030434870.21510.548.72196866170.24714516950.1952808930.0132255857.5561770.1267.11192.042894916.81441140.70.073030434870.21510.548.72196866170.24714516950.03736695259.7032254705.0521882.673.41486.83246822.761321.20.073030434870.21510.548.72196866170.24714516958.69832634210.1442256062.841973.6469.81399.163615422.84961326.20.073030434870.21510.548.72196866170.24714516952.22213520720.1722255140.072209970.61980400980114120.073030434870.21510.548.72196866170.247145169516.40208798030.1482256989.42101677.251404.317529.332870144315.834914773.5128.9912676249352.9855118666.058

202101677.252.2038389577-0.0186610955-0.02334651911404.3A0=48.7219686617Sy/x2.6769724568210287017529.33-0.01866109550.00150790730.000033722714773.5A1=0.0730304348SY4.3102417811677.2517529.33144315.8349-0.02334651910.00003372270.0002741682118666.058A2=0.2471451695R0.7965994185