R. LINEAAOABNXYX2Y2X * YX - X(X - X)2Y - (Y - )2(X - X)(Y -
)1965344.80351.001344.80351.00118887.04123201.00121024.80ERROR:#NAME?-165.7627476.67-177.0131332.129341.1219661028.401073.4021028.401073.401057606.561152187.561103884.56517.84268157.37545.39297451.7282424.961967675.10634.203675.10634.20455760.01402209.64428148.42164.5427073.13106.1911276.617472.621968356.00452.804356.00452.80126736.00205027.84161196.80-154.5623889.06-75.215656.311624.321969717.30761.205717.30761.20514519.29579425.44546008.76206.7442741.07233.1954378.248209.771970138.50100.106138.50100.1019182.2510020.0113863.85-372.06138429.29-427.91183105.9159208.081971494.80595.407494.80595.40244827.04354501.16294603.92-15.76248.4167.394541.6-1062.151972592.80602.208592.80602.20351411.84362644.84356984.1682.246763.2774.195504.36101.431973309.00282.709309.00282.7095481.0079919.2987354.30-201.5640626.78-245.3160176.449444.631974546.90578.7010546.90578.70299099.61334893.69316491.0336.341320.5350.692569.61842.081975533.80519.2011533.80519.20284942.44269568.64277148.9623.24540.06-8.8177.6-204.711976527.20510.0012527.20510.00277939.84260100.00268872.0016.64276.86-18.01324.3-299.651977567.10517.6013567.10517.60321602.41267909.76293530.9656.543196.67-10.41108.3-588.501978341.60334.5014341.60334.50116690.56111890.25114265.20-168.9628547.78-193.5137445.632695.401979431.20428.9015431.20428.90185933.44183955.21184941.68-79.366298.15-99.119822.57865.351980495.30471.9016495.30471.90245322.09222689.61233732.07-15.26232.89-56.113148.2856.271981393.30419.2017393.30419.20154684.89175728.64164871.36-117.2613750.11-108.8111839.312759.001982669.60637.9018669.60637.90448364.16406916.41427137.84159.0425293.45109.8912076.117477.021983326.80360.1019326.80360.10106798.24129672.01117680.68-183.7633768.06-167.9128193.330855.051984628.60771.2020628.60771.20395137.96594749.44484776.32118.0413933.24243.1959142.028706.091985594.10658.6021594.10658.60352954.81433753.96391274.2683.546978.79130.5917054.110909.481986589.90583.5022589.90583.50347982.01340472.25344206.6579.346294.7055.493079.34402.631987440.80499.9023440.80499.90194304.64249900.01220355.92-69.764866.58-28.11790.11960.8911742.9012144.206716168.137251336.666952354.500.00720702.89-0.00839093.46752001.19
1988702.30591.69PROM510.56528.0119891061.90711.13DESV.320.81346.151990418.40497.40Sxy
=32695.701991280.20451.50Sx2 =31334.9119921160.80743.97Sy2
=36482.321993686.90586.58r =0.30781994717.8596.84r2 =0.0947b
=0.332Y = 358.434 + 0.332Xa =358.434
Y = 358.434 + 0.332X
HELMERTPRUEBA DE HELMERT (PRUEBA ESTADISTICA NO
PARAMTRICA)AONUMERO DE DATOSVALORES OBSERVADOSDESVIACIONESSECUENCIA
O
CAMBIO19651344.80-214.24NC196621028.40469.36PS19673675.10116.06PC19684356.00-203.04NC19695717.30158.26PC19706138.50-420.54NS19717494.80-64.24NC19728592.8033.76PC19739309.00-250.04NS197410546.90-12.14NS197511533.80-25.24NS197612527.20-31.84NC197713567.108.06PS197814341.60341.60PC197915431.20-127.84NS198016495.30-63.74NS198117393.30-165.74NC198218669.60110.56PC198319326.80-232.24NC198420628.6069.56PS198521594.1035.06PS198622589.90589.90PC198723440.80-118.24NC198824702.30143.26PS1989251061.90502.86PC199026418.40-140.64NS199127280.20-278.84NC1992281160.80601.76PS199329686.90127.86PS199430717.80158.76PPROMEDIO559.04NUMERO
DE SECUENCIAS14CONCLUSION: (- 1 5.385) LA SERIE DE DATOS ES
HOMOGNEA; ES DECIR LA SERIE DE DATOS ES CONSISTENTE.NUMERO DE
CAMBIOS15S - C-1Error mximo = +(N-1)0.55.385
P SECUENCIASPRUEBA DE SECUENCIAS (PRUEBA ESTADISTICA NO
PARAMTRICA)AONUMERO DE DATOSVALORES OBSERVADOSORDENADO DE MENOR A
MAYORSECUENCIAU19651344.80138.50BC196621028.40280.20AS19673675.10309.00AC19684356.00326.80BC19695717.30341.60AC19706138.50344.80BS19717494.80356.00BC19728592.80393.30AC19739309.00418.40BC197410546.90431.20AS197511533.80440.80AS197612527.20494.80AS197713567.10495.30AC197814341.60527.20BS197915431.20533.80BS198016495.30546.90BS198117393.30567.10BC198218669.60589.90AC198319326.80592.80BC198420628.60594.10AS198521594.10628.60AS198622589.90669.60AC198723440.80675.10BC198824702.30686.90AS1989251061.90702.30AC199026418.40717.30BS199127280.20717.80BC1992281160.801028.40AS199329686.901061.90AS199430717.801160.80AMEDIANA511.25NUMERO
DE SECUENCIAS14CONCLUSION: LA SERIE DE DATOS ES HOMOGNEA; ES DECIR
ES CONSISTENTE PORQUE SE ENCUENTRA DENTRO DEL RANGO (12 -
19).NUMERO DE CAMBIOS15U12 - 19
t studentPRUEBA ESTADISTICA PARAMETRICA: PRUEBA T DE
STUDENTAONUMERO DE DATOSVALORES OBSERVADOSnPARAMETROS
CALCULADOSPERIODOnPROMSS2n S2 19651344.80PERIODO
1113525.5153846154219.4371448152.65641625984.53333196621028.40217584.6765243.1220959108.350661004841.9612219673675.1019684356.0019695717.3019706138.5019717494.8019728592.8019739309.00197410546.90197511533.80197612527.20t
cal =-0.01497197713567.10197814341.60PERIODO 2t tabla
=1.701197915431.20198016495.30|t cal | t tabla
198117393.30198218669.60198319326.80CONCLUSION: LA SERIE ES
HOMOGENEA EN LA MEDIA A UN NIVEL DE SIGNIFICACION DEL
5%.198420628.60198521594.10198622589.90198723440.80198824702.301989251061.90199026418.40199127280.201992281160.80199329686.90199430717.80
cramerPRUEBA ESTADISTICA PARAMETRICA: PRUEBA DE CRAMERAONUMERO
DE DATOSVALORES OBSERVADOSnPARAMETROS CALCULADOSPERIODOnPROMSS2n S2
19651344.80PERIODO
1113525.5153846154219.4371448152.65641625984.53333196621028.40TOTAL30559.040231.1402853425.830071602774.902119673675.1019684356.0019695717.3019706138.5019717494.80tk
=-0.1450419728592.80tk2
=0.0210419739309.00197410546.90197511533.80197612527.20197713567.10197814341.60197915431.20198016495.30198117393.30198218669.60tk
cal =0.09815198319326.80198420628.60tk tabla =1.683198521594.10Con
30 + 13 - 2 = 41 y 5% de nivel de significacin de la tabla T de
Student.198622589.90198723440.80198824702.30| tk cal | tk
tabla1989251061.90199026418.40CONCLUSION: LA SERIE ES HOMOGENEA EN
LA MEDIA A UN NIVEL DE SIGNIFICACION DEL
5%.199127280.201992281160.80199329686.90199430717.80
fisherPRUEBA ESTADISTICA PARAMETRICA: PRUEBA DE FISHERAONUMERO
DE DATOSVALORES OBSERVADOSnPARAMETROS CALCULADOSPERIODOnPROMSS2n S2
19651344.80PERIODO
1113525.5153846154219.4371448152.65641625984.53333196621028.40217584.6765243.1220959108.350661004841.9612219673675.1019684356.0019695717.3019706138.5019717494.8019728592.80Fd
=1.227520038719739309.00Fd tabla =2.604197410546.90GDL (n1 = 12 ;
n2 = 16)197511533.80197612527.20197713567.10Fd Fd
tabla197814341.60PERIODO
2197915431.20198016495.30198117393.30198218669.60198319326.80198420628.60198521594.10198622589.90198723440.80198824702.30CONCLUSION:
LA SERIE ES HOMOGENEA EN LA VARIANZA A UN NIVEL DE SIGNIFICACION
DEL
5%.1989251061.90199026418.40199127280.201992281160.80199329686.90199430717.80559.04
Hoja1NAOIchuaSumbayImata Crucero
AltoPROM11965344.80351.00348.76352.121396.68349.17219661028.401073.401053.281081.134236.211059.0531967675.10634.20650.12683.122642.54660.6441968356.00452.80454.291263.09421.0351969717.30761.20725.062203.56734.5261970138.50100.10126.48141.30506.38126.6071971494.80595.40562.15597.602249.95562.4981972592.80602.20598.65603.122396.77599.1991973309.00282.70307.85310.561210.11302.53101974546.90578.70581.091706.69568.90111975533.80519.20530.381583.38527.79121976527.20510.00513.211550.41516.80131977567.10517.60532.16578.082194.94548.74141978341.60334.50338.56349.641364.30341.08151979431.20428.90429.07437.591726.76431.69161980495.30471.90481.37500.301948.87487.22171981393.30419.20400.89417.461630.85407.71181982669.60637.90653.59680.562641.65660.41191983326.80360.10349.23389.561425.69356.42201984628.60771.20671.36789.362860.52715.13211985594.10658.60613.25613.262479.21619.80221986589.90583.50585.12600.082358.60589.65231987440.80499.90460.36503.761904.82476.21241988702.30681.20707.982091.48697.162519891061.90816.12954.232832.25944.08261990418.40456.30448.361323.06441.02271991280.20398.23401.251079.68359.892819921160.80816.36986.562963.72987.91291993686.90598.20624.961910.06636.69301994717.80699.87711.232128.90709.6316771.2012144.2015253.2115642.5216839.14PROM559.04528.01544.76579.35PROM561.30
