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Resumen Estadísticas de la regresión Coeficiente 0.93671538 Coeficiente 0.87743571 R^2 ajusta 0.87062658 Error típic 1.08652905 Observacion 20 ANÁLISIS DE VARIANZA Grados de liberta ma de cuadrad dio de los cuad F Valor crítico de F Regresión 1 152.127078 152.127078 128.861694 1.2273E-09 Residuos 18 21.2498169 1.18054538 Total 19 173.376895 Coeficientes Error típico Estadístico t Probabilidad Inferior 95% Superior 95% Intercepció 74.2833142 1.59347338 46.6172296 3.1715E-20 70.9355509 77.6310776 Variable X 14.9474797 1.31675827 11.3517265 1.2273E-09 12.1810733 17.7138862 Análisis de los residuales Observación ronóstico para Residuos 1 89.0813192 0.92868082 2 89.5297436 -0.4797436 3 91.4729159 -0.0429159 4 93.5655631 0.17443691 5 96.1066346 0.62336535 6 94.6118867 -0.1618867 7 87.2876216 0.30237839 8 92.6687143 -0.8987143 9 97.4519078 1.96809217 10 95.2097859 -1.5597859 11 92.0708151 1.46918488 12 91.4729159 1.04708407 13 88.9318444 1.62815562 14 89.3802688 0.15973123 15 90.8750167 -1.0250167 16 92.2202899 -1.8302899 17 93.1171387 0.1328613 18 94.0139875 -0.6039875 19 95.6582103 -0.6782103 20 88.48342 -1.15342

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Hoja4Resumen

Estadsticas de la regresinCoeficiente de correlacin mltiple0.9367153811Coeficiente de determinacin R^20.8774357052R^2 ajustado0.8706265777Error tpico1.0865290525Observaciones20ANLISIS DE VARIANZAGrados de libertadSuma de cuadradosPromedio de los cuadradosFValor crtico de FRegresin1152.1270781248152.1270781248128.86169430660.0000000012Residuos1821.24981687521.180545382Total19173.376895

CoeficientesError tpicoEstadstico tProbabilidadInferior 95%Superior 95%Inferior 95,0%Superior 95,0%Intercepcin74.28331424041.593473375846.6172296125070.935550910177.631077570770.935550910177.6310775707Variable X 114.94747973211.316758269811.35172649010.000000001212.181073265917.713886198312.181073265917.7138861983Anlisis de los residuales

ObservacinPronstico para YResiduos189.08131917520.9286808248289.5297435671-0.4797435671391.4729159323-0.0429159323493.56556309480.1744369052596.10663464930.6233653507694.6118866761-0.1618866761787.28762160730.3023783927892.6687143109-0.8987143109997.45190782521.96809217481095.2097858654-1.55978586541192.07081512161.46918487841291.47291593231.04708406771388.93184437791.62815562211489.38026876980.15973123021590.875016743-1.0250167431692.2202899189-1.83028991891793.11713870290.13286129711894.0139874868-0.60398748681995.6582102573-0.67821025732088.4834199859-1.1534199859

Hoja5ClaseFrecuencia-1.83028991891-0.880694395540.06890112851.01849665146y mayor...4

Hoja6ClaseFrecuencia-1.83028991891-0.880694395540.06890112851.01849665146y mayor...4

Hoja1iXiYiXi*YiXi2ieiXi-(Xi-)2(Yi-)(Xi-)*(Yi-)(Xi-)Yi(Yi-)2(i-)2Limite Inferior =0,01Limite superior =0,01Limite Inferior =0,05Limite Superior =0,05Limite Inferior =0,1Limite Superior =0,110.9990.0189.10990.980189.08131917520.9286808248-0.2060.042436-2.15050.443003-18.542060.86244807449.481354551988.033135850290.129502500288.316268979389.846369371188.449860383489.712777966921.0289.0590.8311.040489.5297435671-0.4797436-0.1760.030976-3.11050.547448-15.67280.23015389026.92087940988.563277101890.496210032588.824337040490.235150093988.947513596590.111973537831.1591.43105.14451.322591.4729159323-0.0429159323-0.0460.002116-0.73050.033603-4.205780.00184177720.472771850190.752177770692.19365409490.946862084191.998969780691.038720464991.907111399841.2993.74120.92461.664193.56556309480.17443690520.0940.0088361.57950.1484738.811560.03042823391.974202300492.780705807294.350420382492.992709847494.138416342293.092740237794.03838595251.4696.73141.22582.131696.10663464930.62336535070.2640.0696964.56951.20634825.536720.388584360515.571978670294.885857395697.32741190395.215611242696.99765805695.371199815296.842069483361.3694.45128.4521.849694.6118866761-0.16188667610.1640.0268962.28950.37547815.48980.02620729596.009296635693.67623428595.547539067193.928970789195.29480256394.048220078695.175553273670.8787.5976.20330.756987.28762160730.3023783927-0.3260.106276-4.57051.489983-28.554340.091432692423.744943829785.867834935988.707408278886.251344798588.323898416286.432297204988.142946009881.2391.77112.87711.512992.6687143109-0.89871431090.0340.001156-0.3905-0.0132773.120180.80768741260.258281785891.95760782793.379820794892.149690451493.187738170492.240321270893.097107350991.5599.42154.1012.402597.45190782521.96809217480.3540.1253167.25952.56986335.194683.873386808627.998996772295.93885891498.964956736396.347560581498.556255068996.540399299498.363416351101.493.65131.111.9695.2097858654-1.55978586540.2040.0416161.48950.30385819.10462.43293194579.298144288694.167236867296.252334863594.448848063595.970723667294.581721370395.8378503604111.1993.54111.31261.416192.07081512161.4691848784-0.0060.0000361.3795-0.008277-0.561242.15850420690.008043377491.371113146592.770517096891.560115208392.581515034991.649292518492.4923377249121.1592.52106.3981.322591.47291593231.0470840677-0.0460.0021160.3595-0.016537-4.255921.09638504480.472771850190.752177770692.19365409490.946862084191.998969780691.038720464991.9071113998130.9890.5688.74880.960488.93184437791.6281556221-0.2160.046656-1.60050.345708-19.560962.650890729910.424217126487.855131086590.008557669288.145970671689.717718084188.283198231989.5804905238141.0189.5490.43541.020189.38026876980.1597312302-0.1860.034596-2.62050.487413-16.654440.02551406597.729685693288.387262606190.373274933688.655491393690.105046146188.782050445489.9784870943151.1189.8599.73351.232190.875016743-1.025016743-0.0860.007396-2.31050.198703-7.72711.05065932351.652467203990.10345056891.64658291890.311864440191.438169045990.410200872591.3398326135 161.290.39108.4681.4492.2202899189-1.83028991890.0040.000016-1.7705-0.0070820.361563.34996118730.003574834491.520793285592.919786552391.709739880992.730839956991.7988910292.6416888178171.2693.25117.4951.587693.11713870290.13286129710.0640.0040961.08950.0697285.9680.01765212430.915157607892.376930913193.857346492692.576874322593.657403083292.671214115693.5630632901181.3293.41123.30121.742494.0139874868-0.60398748680.1240.0153761.24950.15493811.582840.36480088423.435415863793.17140063694.856574337693.398998467394.628976506293.506386514694.5215884589191.4394.98135.82142.044995.6582102573-0.67821025730.2340.0547562.81950.65976322.225320.459969153112.233977044194.528753027696.78766748794.833839697196.482580817594.977789494496.3386310202200.9587.3382.96350.902588.4834199859-1.1534199859-0.2460.060516-4.83051.188303-21.483181.330377663913.520917430187.317907209689.648932762287.632733129489.334106842487.781278221389.18556175050Sxx0.68088Sxy10.1774410.1774421.2498168752152.127078124823.92Xbarra1.1961843.21Ybarra92.1605

B114.947479732121.180545382Grados de libertadSuma de cuadradosPromedio de los cuadradosFValor teorico de FPvalor2214.65661843.2123.92Bo74.28331424041.0865290525Regresin1152.1270781248152.1270781248128.86169430664.4138734050.00000000122214.6629.2892Var(1)1.733852341Residuos1821.24981687521.18054538229.28921011.56046media 10.0853907296(1)1.3167582698Total19173.376895 media 2-0.0853907296Var(0)2.5391573993(0)1.59347337582023.9223.9229.289213.61767B074.2833142404B114.94747973211201843.2123.922214.6566203.5488B114.94747973211B074.2833142404

ClaseFrecuencia-1.83028991891-0.880694395540.06890112851.01849665146y mayor...4prueba de hipotesisH0: 0 = 0H1: 0 0T046.61722961252.1009220369H0: 1 = 0H0: 1 0T011.35172649012.1009220369Pv 00Pv 10.0000000012limitesLI

En el grafico de dispersion de la muestra se observa una aprente relacion lineal entre el nivel de hidrocarburos y la pureza del oxigenopresentes en el condensador principalexiste aleatoriedad en los datos, los residuos parcen seguir una distribucion normal,"Como F calculado es mayor a F teorico se rechaza la hipotesis nula con 95% de confianza" hablar de la cosa planteada en enunciado papel."Por ser el Pvalor menor al valor alfa se rechaza la hipotesis nula, con un 95% de confianza"hablar de la cosa planteada en enunciado papel aire.con un nivel de confianza de 95% existe suficiente evidencia estadistica para rechazar la hipotesis nula entonces 0 es diferente de cero.con un nivel de confianza de 95% existe suficiente evidencia estadistica para rechazar la hipotesis nula entonces 1 es diferente de cero.dado que el Pv es menor que el se considera que se tiene suficiente evidencia estadistica para rechazar ambas hipoitesis nulas con un 95% de confianza.

Hoja2iXiYi10.9990.0121.0289.0531.1591.4341.2993.7451.4696.7361.3694.4570.8787.5981.2391.7791.5599.42Resumen101.493.65111.1993.54Estadsticas de la regresin121.1592.52Coeficiente de correlacin mltiple0.9367153811130.9890.56Coeficiente de determinacin R^20.8774357052141.0189.54R^2 ajustado0.8706265777151.1189.85Error tpico1.0865290525161.290.39Observaciones20171.2693.25181.3293.41ANLISIS DE VARIANZA191.4394.98Grados de libertadSuma de cuadradosPromedio de los cuadradosFValor crtico de F200.9587.33Regresin1152.1270781248152.1270781248128.86169430660.0000000012Residuos1821.24981687521.180545382Total19173.376895

CoeficientesError tpicoEstadstico tProbabilidadInferior 95%Superior 95%Inferior 95,0%Superior 95,0%Intercepcin74.28331424041.593473375846.6172296125070.935550910177.631077570770.935550910177.6310775707Xi14.94747973211.316758269811.35172649010.000000001212.181073265917.713886198312.181073265917.7138861983Anlisis de los residuales

ObservacinPronstico YiResiduos189.08131917520.9286808248289.5297435671-0.4797435671391.4729159323-0.0429159323493.56556309480.1744369052596.10663464930.6233653507694.6118866761-0.1618866761787.28762160730.3023783927892.6687143109-0.8987143109997.45190782521.96809217481095.2097858654-1.55978586541192.07081512161.46918487841291.47291593231.04708406771388.93184437791.62815562211489.38026876980.15973123021590.875016743-1.0250167431692.2202899189-1.83028991891793.11713870290.13286129711894.0139874868-0.60398748681995.6582102573-0.67821025732088.4834199859-1.1534199859

Hoja3Resumen

Estadsticas de la regresinCoeficiente de correlacin mltiple0.9367153811Coeficiente de determinacin R^20.8774357052R^2 ajustado0.8706265777Error tpico1.0865290525Observaciones20ANLISIS DE VARIANZAGrados de libertadSuma de cuadradosPromedio de los cuadradosFValor crtico de FRegresin1152.1270781248152.1270781248128.86169430660.0000000012Residuos1821.24981687521.180545382Total19173.376895

CoeficientesError tpicoEstadstico tProbabilidadInferior 95%Superior 95%Inferior 90,0%Superior 90,0%Intercepcin74.28331424041.593473375846.6172296125070.935550910177.631077570771.520130074177.0464984067Xi14.94747973211.316758269811.35172649010.000000001212.181073265917.713886198312.664137156617.2308223076Anlisis de los residualesResultados de datos de probabilidad

ObservacinPronstico YiResiduosResiduos estndaresPercentilYi189.08131917520.92868082480.87814388822.587.33289.5297435671-0.4797435671-0.45363689027.587.59391.4729159323-0.0429159323-0.040580533912.589.05493.56556309480.17443690520.164944400817.589.54596.10663464930.62336535070.589443066122.589.85694.6118866761-0.1618866761-0.153077129827.590.01787.28762160730.30237839270.285923570732.590.39892.6687143109-0.8987143109-0.849808091537.590.56997.45190782521.96809217481.860992569842.591.431095.2097858654-1.5597858654-1.474905465847.591.771192.07081512161.46918487841.389234801852.592.521291.47291593231.04708406770.990103865557.593.251388.93184437791.62815562211.539554678462.593.411489.38026876980.15973123020.151038978967.593.541590.875016743-1.025016743-0.969237400172.593.651692.2202899189-1.8302899189-1.730689234677.593.741793.11713870290.13286129710.125631253482.594.451894.0139874868-0.6039874868-0.571119706587.594.981995.6582102573-0.6782102573-0.641303423692.596.732088.4834199859-1.1534199859-1.090653197697.599.42

Hoja7iXiYi10.9990.0121.0289.0531.1591.4341.2993.7451.4696.7361.3694.4570.8787.5981.2391.7791.5599.42Resumen101.493.65111.1993.54Estadsticas de la regresin121.1592.52Coeficiente de correlacin mltiple0.9367153811130.9890.56Coeficiente de determinacin R^20.8774357052141.0189.54R^2 ajustado0.8706265777151.1189.85Error tpico1.0865290525161.290.39Observaciones20171.2693.25181.3293.41ANLISIS DE VARIANZA191.4394.98Grados de libertadSuma de cuadradosPromedio de los cuadradosFValor crtico de F200.9587.33Regresin1152.1270781248152.1270781248128.86169430660.0000000012Residuos1821.24981687521.180545382Total19173.376895

CoeficientesError tpicoEstadstico tProbabilidadInferior 95%Superior 95%Inferior 90,0%Superior 90,0%boIntercepcin74.28331424041.593473375846.6172296125070.935550910177.631077570771.520130074177.0464984067b1Xi14.94747973211.316758269811.35172649010.000000001212.181073265917.713886198312.664137156617.2308223076Anlisis de los residualesResultados de datos de probabilidad

ObservacinPronstico YiResiduosResiduos estndaresPercentilYi189.08131917520.92868082480.87814388822.587.33289.5297435671-0.4797435671-0.45363689027.587.59391.4729159323-0.0429159323-0.040580533912.589.05493.56556309480.17443690520.164944400817.589.54596.10663464930.62336535070.589443066122.589.85694.6118866761-0.1618866761-0.153077129827.590.01787.28762160730.30237839270.285923570732.590.39892.6687143109-0.8987143109-0.849808091537.590.56997.45190782521.96809217481.860992569842.591.431095.2097858654-1.5597858654-1.474905465847.591.771192.07081512161.46918487841.389234801852.592.521291.47291593231.04708406770.990103865557.593.251388.93184437791.62815562211.539554678462.593.411489.38026876980.15973123020.151038978967.593.541590.875016743-1.025016743-0.969237400172.593.651692.2202899189-1.8302899189-1.730689234677.593.741793.11713870290.13286129710.125631253482.594.451894.0139874868-0.6039874868-0.571119706587.594.981995.6582102573-0.6782102573-0.641303423692.596.732088.4834199859-1.1534199859-1.090653197697.599.42b0Tteorico1.7340635923limite inferior71.5201300741limite superior77.0464984067b1limite inferior12.6641371566limite superior17.2308223076

Hoja8eieiRachasPrueba de AleatoriedadeiiIIISFiXi*FiXi-1.83028991890.9286808248A-1.83028991891-1.8302899189-1.19722623662-3.0275161556-1.5137580778-1.5597858654-0.4797435671B-1.55978586542-1.1972262366-0.56416255435-4.4034719774-0.8806943955-1.1534199859-0.0429159323B-1.15341998593-0.56416255430.0689011283-0.7428921396-0.2476307132-1.0250167430.1744369052A-1.02501674340.0689011280.701964810251.92716484550.3854329691-0.89871431090.6233653507A-0.898714310950.70196481021.335028492522.03699330281.0184966514-0.6782102573-0.1618866761B-0.678210257361.33502849251.968092174834.95468100111.6515603337-0.60398748680.3023783927A-0.6039874868-0.4797435671-0.8987143109B-0.4797435671iFi*(Xi-)2Pei=Pi*n(Fi-ei)2/ei-0.16188667611.9680921748A-0.161886676114.81123935820.07951.590.1057232704-0.0429159323-1.5597858654B-0.042915932324.21309069160.16453.290.88878419450.13286129711.4691848784A0.132861297130.24346754770.23444.6880.60779522180.15973123021.0470840677A0.159731230240.60616405910.23024.6040.03406081670.17443690521.6281556221A0.174436905251.92569805220.15583.1160.39969704750.30237839270.1597312302A0.302378392767.81801347610.07871.5741.29191613720.6233653507-1.025016743B0.62336535070.9286808248-1.8302899189B0.92868082480.03724794381.04708406770.1328612971A1.047084067721.0325091151.4691848784-0.6039874868B1.46918487841.6281556221-0.6782102573B1.62815562211.9680921748-1.1534199859B1.9680921748Prueba de Independencia.Mediana:0.0449726824Corridas=12Bondad de AjusteVCS=16Na=10VCI=6Nb=10N de intervalos5.3324298856Longitud0.6330636823ZiiZsiPiPsPs-Pi-1.8379024995-1.2148847030.03360.11310.0795-1.214884703-0.59186690660.11310.27760.1645-0.59186690660.03115088980.27760.5120.23440.03115088980.65416868630.5120.74220.23020.65416868631.27718648270.74220.8980.15581.27718648271.90020427910.8980.97670.0787X023.32797668820.05GL2.00X225.99Prueba de IndependenciaPrueba de correlacinXi-XbYi-Yb(Xi-Xb)*(Yi-Yb)(Xi-Xb)2(Yi-Yb)2-0.206-2.15050.4430030.1962516584.62465025-0.176-3.11050.5474480.29969931279.67521025-0.046-0.73050.0336030.00112916160.533630250.0941.57950.1484730.02204423172.494820250.2644.56951.2063481.455275497120.880330250.1642.28950.3754780.14098372855.24181025-0.326-4.57051.4899832.220049340320.889470250.034-0.3905-0.0132770.00017627870.152490250.3547.25952.5698636.604195838852.700340250.2041.48950.3038580.09232968422.21861025-0.0061.3795-0.0082770.00006850871.90302025-0.0460.3595-0.0165370.00027347240.12924025-0.216-1.60050.3457080.11951402132.56160025-0.186-2.62050.4874130.23757143266.86702025-0.086-2.31050.1987030.03948288225.338410250.004-1.7705-0.0070820.00005015473.134670250.0641.08950.0697280.0048619941.187010250.1241.24950.1549380.02400578381.561250250.2342.81950.6597630.43528721627.94958025-0.246-4.83051.1883031.412064019823.33373025Suma10.1774413.3053142173173.376895Sxy=0.508872Sx=0.815638223Sy=2.94429019460.05r=0.211899715to=0.9199040719T0,025;182.101

H0: El proceso que genera esta secuencia es aleatorio.H1: El proceso que esta secuencia genera no es aleatorio.Como el nmero de corridas se encuentra dentro del intervalo de valores crticos se concluye que no hay suficiente evidencia estadstica para rechazar H0.Como X2c > X02 No existe suficiente evidencia estadistica para rechazar H0 con una confianzade 95%H0: Los datos siguen una distribucin normal.H1: Los datos NO siguen una distribucin nomral.H0: No existe correlacin entre los datos.

H1: Existe correlacin entre los datos.

Como to