Regresion Lineal
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Resumen Estadísticas de la regresión R t cal t crit 0.99984831 0.99969665 0.99984831 281.232075699459 2.0638985473 R^2 ajustado 0.99968401 Error típico 0.00677862 t cal > t crit Ho: rechaza Observaciones 26 H1: Hay corre ANÁLISIS DE VARIANZA F Regresión 1 3.63423324 3.63423324461539 79091.480402 Residuos 24 0.00110279 4.59497435897E-05 Total 25 3.63533604 Coeficientes Error típico Estadístico t Probabilidad Intercepción 0.00669231 0.00258388 2.59001825065472 0.0160625354 Conc 0.00498492 1.7725E-05 281.232075699453 9.789712E-44 Análisis de los residuales Observación Pronóstico Abs Residuos 1 0.00669231 -0.0066923 2 0.05654154 -0.0075415 3 0.10639077 -0.0073908 4 0.15624 -0.00324 5 0.20608923 -0.0030892 6 0.25593846 0.00206154 7 0.30578769 0.00421231 8 0.35563692 0.00036308 9 0.40548615 0.00051385 10 0.45533538 0.00466462 11 0.50518462 -0.0011846 12 0.55503385 0.00596615 13 0.60488308 0.00411692 14 0.65473231 0.01626769 15 0.70458154 0.00341846 16 0.75443077 0.00656923 17 0.80428 -0.00128 Coeficiente de correlación múltiple Coeficiente de determinación R^2 Grados de libertad Suma de cuadrados Promedio de los cuadrados 0 50 100 0 0.5 1 1.5 f(x) = 0.0049849230 R² = 0.999696645967 Conc Curva Abs
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Transcript of Regresion Lineal
Correlacion ejercicio1Resumen
Estadsticas de la regresinRt calt critCoeficiente de correlacin mltiple0.9998483115Coeficiente de determinacin R^20.9996966460.9998483115281.23207569952.0638985473R^2 ajustado0.9996840062Error tpico0.006778624t cal > t critHo: rechazaObservaciones26H1: Hay correlacinANLISIS DE VARIANZAGrados de libertadSuma de cuadradosPromedio de los cuadradosFValor crtico de FRegresin13.63423324463.634233244679091.48040222290Residuos240.00110279380.0000459497Total253.6353360385
CoeficientesError tpicoEstadstico tProbabilidadInferior 95%Superior 95%Intercepcin0.00669230770.00258388442.59001825070.01606253540.00135943250.0120251829Conc0.00498492310.0000177253281.232075699500.00494833990.0050215063Anlisis de los residuales
ObservacinPronstico AbsResiduos10.0066923077-0.006692307720.0565415385-0.007541538530.1063907692-0.007390769240.15624-0.0032450.2060892308-0.003089230860.25593846150.002061538570.30578769230.004212307780.35563692310.000363076990.40548615380.0005138462100.45533538460.0046646154110.5051846154-0.0011846154120.55503384620.0059661538130.60488307690.0041169231140.65473230770.0162676923150.70458153850.0034184615160.75443076920.0065692308170.80428-0.00128180.85412923080.0088707692190.90397846150.0000215385200.95382769230.0021723077211.0036769231-0.0066769231221.0535261538-0.0005261538231.1033753846-0.0013753846241.15322461540.0047753846251.2030738462-0.0170738462261.2529230769-0.0079230769
Ejercicio1ConcAbs00100.049200.099300.153400.203500.258600.31700.356800.406900.461000.5041100.5611200.6091300.6711400.7081500.7611600.8031700.8631800.9041900.9562000.9972101.0532201.1022301.1582401.1862501.245
Correlacion ejercicio2Resumen
Estadsticas de la regresinRt calt critCoeficiente de correlacin mltiple0.9999431774Coeficiente de determinacin R^20.99988635790.9999431774229.76369294322.4469118464R^2 ajustado0.9998674176Error tpico42.9460011437t cal > t critHo: rechazaObservaciones8H1: Hay correlacinANLISIS DE VARIANZAGrados de libertadSuma de cuadradosPromedio de los cuadradosFValor crtico de FRegresin197366210.720914697366210.720914652791.35459488470Residuos611066.15408542851844.3590142381Total797377276.875t*sCoeficientesError tpicoEstadstico tProbabilidadInferior 95%Superior 95%Intercepcin-27.151712416620.5597917555-1.32062195670.2347627473-77.459710423423.156285590250.3079980068Sulfato (mg/L)1117.55323242694.8639244004229.763692943201105.65163819141129.454826662311.9015942354Anlisis de los residualesYi-(Yi-)^2ObservacinPronstico Altura de picoResiduosResiduos^2(Xi-)^21196.358934068840.64106593121651.696240027977.962419.869580554118.1304194459328.71210928323755.135550282231.86444971781015.343155818441090.4015200103-14.4015200103207.40377860652207.9547524372-14.9547524371223.644620456463884.2846010775-63.28460107754004.940733535275560.6144497178-41.61444971781731.7624253156811148.380611852243.61938814781902.6510223858Sy/x42.9460011437y = bx + aYoXo(Sy/x)/b(Yo-Y)^2b^2*(Xi-X)^2divisionraizxot3000.29270.10340.03842859558167449.51562597366210.72091460.08388381821.09949252760.04225202.4469155004.94580.10220.03842859555485549.51562597366210.72091460.0563393551.08689436240.04176782.44691Ejercicio 3y yB = 3sB SB=Sy/x42.9460011437y = 1117,55323x - 27,151712a-27.1517124166b1117.5532324269yB101.6862910146XB0.1152857866
Ejercicio2Sulfato (mg/L)Altura de picoiYi-i(Xi-)^20.2237196.35892840.6410727.02250.4438419.86956818.1304326.00250.7787755.13552831.8644724.6225110761090.401488-14.4014883.4225221932207.954688-14.9546880.72253.538213884.284488-63.2844880.4225555195560.614288-41.6142884.6225101119211148.38028843.61971251.1225Promedio2.853157.8753157.874908suma77.9600y = bx + a
Hoja3Cloruro (mg/L)Med 1Med 2Med 3promediodesvest0.2111289511091038.6667124.42800.51892180617961831.333352.77630.73242316231913198.333340.501014519458344834528.333350.649129168915991469157.666711.06043.515915160421593515964.000068.2862523485233352329323371.0000100.93561049166501354943949580.0000499.650917.592682932889240792792.3333450.744225137021140137139938139032.00001744.417150318984321468319527319993.00001305.921575505542509773511877509064.00003226.4635100700231696155699516698634.00002176.4391
