Regresion Multiple(Con 2 Variables)
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n Año x y Codifcacion D(Q) P I 1 2000 0 40 9 400 360 16000 3600 81 160000 1600 2 2001 1 45 8 500 360 22500 4000 64 250000 2025 3 2002 2 50 9 600 450 30000 5400 81 360000 2500 4 2003 3 55 8 700 440 38500 5600 64 490000 3025 5 2004 4 60 7 800 420 48000 5600 49 640000 3600 6 2005 5 70 6 900 420 63000 5400 36 810000 4900 7 2006 6 65 6 1000 390 65000 6000 36 1000000 4225 8 2007 7 65 8 1100 520 71500 8800 64 1210000 4225 9 2008 8 75 5 1200 375 90000 6000 25 1440000 5625 10 2009 9 75 5 1300 375 97500 6500 25 1690000 5625 11 2010 10 80 5 1400 400 112000 7000 25 1960000 6400 12 2011 11 100 3 1500 300 150000 4500 9 2250000 10000 13 2012 12 90 4 1600 360 144000 6400 16 2560000 8100 14 2013 13 95 3 1700 285 161500 5100 9 2890000 9025 15 2014 14 85 4 1800 340 153000 7200 16 3240000 7225 Σ 105 1050 90 16500 5795 1262500 87100 600 20950000 78100 x 1 x 2 x 1 y x 2 y x 1 x 2 x 1 2 x 2 2 y 2 n Año x y Codifcacion D(Q) P I P´ 1 2000 0 40 9 400 10 2 2001 1 45 8 500 14 3 2002 2 50 9 600 12 4 2003 3 55 8 700 13 5 2004 4 60 7 800 11 6 2005 5 70 6 900 15 7 2006 6 65 6 1000 16 8 2007 7 65 8 1100 17 9 2008 8 75 5 1200 22 10 2009 9 75 5 1300 19 11 2010 10 80 5 1400 20 12 2011 11 100 3 1500 23 13 2012 12 90 4 1600 18 14 2013 13 95 3 1700 24 15 2014 14 85 4 1800 21 Σ 30105 105 1050 90 16500 255 x 1 x 2 x 3
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Aqui se muestra un ejemplo de regresion multiple con dos variables
Transcript of Regresion Multiple(Con 2 Variables)
Hoja1
nAoxyx1x2CodificacionD(Q)PIx1yx2yx1x2x12x22y212000040940036016000360081160000160022001145850036022500400064250000202532002250960045030000540081360000250042003355870044038500560064490000302552004460780042048000560049640000360062005570690042063000540036810000490072006665610003906500060003610000004225820077658110052071500880064121000042259200887551200375900006000251440000562510200997551300375975006500251690000562511201010805140040011200070002519600006400122011111003150030015000045009225000010000132012129041600360144000640016256000081001420131395317002851615005100928900009025152014148541800340153000720016324000072251051050901650057951262500871006002095000078100nAoxyx1x2x3CodificacionD(Q)PIP1200004094001022001145850014320022509600124200335587001352004460780011620055706900157200666561000168200776581100179200887551200221020099755130019112010108051400201220111110031500231320121290416001814201313953170024152014148541800213010510510509016500255
Hoja2Resumen
Estadsticas de la regresinCoeficiente de correlacin mltiple0.9750098376Coeficiente de determinacin R^20.9506441834R^2 ajustado0.942418214Error tpico4.3496815626Observaciones15ANLISIS DE VARIANZAGrados de libertadSuma de cuadradosPromedio de los cuadradosFValor crtico de FRegresin24372.96324365292186.4816218264115.566218810.0000000145Residuos12227.036756347118.9197296956Total144600
CoeficientesError tpicoEstadstico tProbabilidadInferior 95%Intercepcin82.275483137615.43345968815.33098117990.000179064348.6488631631Variable X 1-5.10610079581.4168268688-3.60389890120.0036199164-8.1931013549Variable X 20.01669192880.0065586342.54503130520.02569946160.0024018929Ec. De regre.y=82.2754-5.1061x1+0.01669x2Superior 95%Inferior 95.0%Superior 95.0%115.90210311248.6488631631115.902103112-2.0191002366-8.1931013549-2.0191002366Anlisis de los residuales0.03098196460.00240189290.0309819646Resultados de datos de probabilidadObservacinPronstico para YResiduosResiduos estndaresPercentil142.9973474801-2.9973474801-0.74430857843.3333333333249.772641152-4.772641152-1.185153798310346.33573323233.66426676770.909919589516.6666666667453.11102690411.88897309590.469074369623.3333333333559.8863205760.1136794240.028229149630666.66161424783.33838575220.828996027336.6666666667768.3308071239-3.3308071239-0.827114083943.3333333333859.78779840855.21220159151.294306510250976.7752936718-1.7752936718-0.440845219956.66666666671078.4444865479-3.4444865479-0.855343233663.33333333331180.113679424-0.113679424-0.0282291496701291.99507389168.00492610841.987802619376.66666666671388.5581659721.4418340280.358039714483.33333333331495.3334596438-0.3334596438-0.0828055056901591.8965517241-6.8965517241-1.712568410596.6666666667Y4045505560656570757580859095100
Hoja3Resumen
Estadsticas de la regresinCoeficiente de correlacin mltiple0.9751820572Coeficiente de determinacin R^20.9509800448R^2 ajustado0.9376109661Error tpico4.5276101871Observaciones15ANLISIS DE VARIANZAGrados de libertadSuma de cuadradosPromedio de los cuadradosFValor crtico de FRegresin34374.50820593521458.169401978471.13280325030.0000001731Residuos11225.491794064720.4992540059Total144600
CoeficientesError tpicoEstadstico tProbabilidadInferior 95%Superior 95%Intercepcin79.106339928119.78227745983.99884897420.00209030335.5658408062122.6468390499Variable X 1-4.9280575541.6110831749-3.05884738340.01087432-8.4740277136-1.3820873943Variable X 20.01590040470.00741078192.14557718630.0550688559-0.00041061640.0322114258Variable X 30.17479766190.63671591720.27453006460.7887647037-1.2266046231.5761999468Ec de reg.79.1093-4.9280x1+0.01590x2+0.1747x3Inferior 95.0%Superior 95.0%35.5658408062122.6468390499-8.4740277136-1.3820873943-0.00041061640.0322114258-1.2266046231.5761999468Anlisis de los residualesResultados de datos de probabilidad
ObservacinPronstico para YResiduosResiduos estndaresPercentilY142.8619604317-2.8619604317-0.71311943383.333333333340250.0792491007-5.0792491007-1.26560493391045346.39163669063.60836330940.899101878516.666666666750453.08453237411.91546762590.477280249523.333333333355559.25303507190.74696492810.18612249173060666.4703237413.5296762590.879495295436.666666666765768.2351618705-3.2351618705-0.806110656143.333333333365860.14388489214.85611510791.21000626635070977.3920863309-2.3920863309-0.596040123856.6666666667751078.4577338129-3.4577338129-0.861569276763.3333333333751180.2225719424-0.2225719424-0.055458620570801292.19312050367.80687949641.945253129676.6666666667851387.98111510792.01888489210.503048901583.3333333333901495.5479991007-0.5479991007-0.13654584690951591.6855890288-6.6855890288-1.665859321596.6666666667100
