Home » date » 2010 » May » 27 »

Decompositie wisselkoers dollar/euro

*Unverified author*
R Software Module: /rwasp_decompose.wasp (opens new window with default values)
Title produced by software: Classical Decomposition
Date of computation: Thu, 27 May 2010 15:51:13 +0000
 
Cite this page as follows:
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2010/May/27/t1274975503fbw5sthvuxgoriz.htm/, Retrieved Thu, 27 May 2010 17:51:45 +0200
 
BibTeX entries for LaTeX users:
@Manual{KEY,
    author = {{YOUR NAME}},
    publisher = {Office for Research Development and Education},
    title = {Statistical Computations at FreeStatistics.org, URL http://www.freestatistics.org/blog/date/2010/May/27/t1274975503fbw5sthvuxgoriz.htm/},
    year = {2010},
}
@Manual{R,
    title = {R: A Language and Environment for Statistical Computing},
    author = {{R Development Core Team}},
    organization = {R Foundation for Statistical Computing},
    address = {Vienna, Austria},
    year = {2010},
    note = {{ISBN} 3-900051-07-0},
    url = {http://www.R-project.org},
}
 
Original text written by user:
 
IsPrivate?
No (this computation is public)
 
User-defined keywords:
 
Dataseries X:
» Textbox « » Textfile « » CSV «
1.1591 1.1203 1.0886 1.0701 1.0630 1.0377 1.0370 1.0605 1.0497 1.0706 1.0328 1.0110 1.0131 0.9834 0.9643 0.9449 0.9059 0.9505 0.9386 0.9045 0.8695 0.8525 0.8552 0.8983 0.9376 0.9205 0.9083 0.8925 0.8753 0.8530 0.8615 0.9014 0.9114 0.9050 0.8883 0.8912 0.8832 0.8707 0.8766 0.8860 0.9170 0.9561 0.9935 0.9781 0.9806 0.9812 1.0013 1.0194 1.0622 1.0785 1.0797 1.0862 1.1556 1.1674 1.1365 1.1155 1.1267 1.1714 1.1710 1.2298 1.2638 1.2640 1.2261 1.1989 1.2000 1.2146 1.2266 1.2191 1.2224 1.2507 1.2997 1.3406 1.3123 1.3013 1.3185 1.2943 1.2697 1.2155 1.2041 1.2295 1.2234 1.2022 1.1789 1.1861 1.2126 1.1940 1.2028 1.2273 1.2767 1.2661 1.2681 1.2810 1.2722 1.2617 1.2888 1.3205 1.2993 1.3080 1.3246 1.3513 1.3518 1.3421 1.3726 1.3626 1.3910 1.4233 1.4683 1.4559 1.4728 1.4759 1.5520 1.5754 1.5554 1.5562 1.5759 1.4955 1.4342 1.3266 1.2744 1.3511 1.3244 1.2797 1.3050 1.3199 1.3646 1.4014 1.4092 1.4266 etc...
 
Output produced by software:


Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk


Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
11.1591NANA1.01126246991022NA
21.1203NANA0.999236931664656NA
31.0886NANA1.00123179446176NA
41.0701NANA0.998851866664662NA
51.063NANA1.00363953527856NA
61.0377NANA1.00603022503051NA
71.0371.066082691466861.060616666666671.005153628989610.97272004160686
81.06051.048646575220871.048829166666670.9998259092599661.01130354597938
91.04971.030595185153071.037945833333330.9929180811327541.01853765195312
101.07061.01630906953511.027550.9890604540266651.05341970478502
111.03281.002829082794451.01578750.9872429841816821.02988636620114
121.0111.011185557218581.005608333333331.005546119398950.999816495382815
131.01311.009113537161660.9978751.011262469910221.00395046017275
140.98340.9865216417092240.9872750.9992369316646560.996835708840796
150.96430.974465531156480.9732666666666671.001231794461760.989568095708407
160.94490.9555724476586380.9566708333333330.9988518666646620.988831356863848
170.90590.9436051637433190.9401833333333331.003639535278560.960041376211062
180.95050.9336840764730020.92808751.006030225030511.01801029272184
190.93860.9249884389375670.9202458333333331.005153628989611.01471538506802
200.90450.9143199643117960.9144791666666670.9998259092599660.989259816371627
210.86950.9030838177422680.9095250.9929180811327540.962812070062081
220.85250.8951079530645820.9050083333333330.9890604540266650.952399090055333
230.85520.8900489123889960.901550.9872429841816820.960846070475546
240.89830.9011830015318330.89621251.005546119398950.996800870048667
250.93760.8989491318458170.88893751.011262469910221.04299561208188
260.92050.8849200631950040.8855958333333330.9992369316646561.04020695007924
270.90830.8883053634439030.88721251.001231794461761.02250874235249
280.89250.8901226790954360.8911458333333330.9988518666646621.00267077893912
290.87530.8979688377079230.89471251.003639535278560.97475542941358
300.8530.9011976837897250.8957958333333331.006030225030510.946518189453125
310.86150.8978367265344850.8932333333333331.005153628989610.959528580798049
320.90140.8887369188586070.8888916666666670.9998259092599661.01424840228046
330.91140.8792248236843820.8854958333333330.9929180811327541.03659493618571
340.9050.8742346563993940.8839041666666670.9890604540266651.03519117364589
350.88830.8740761436074230.8853708333333330.9872429841816821.01627301751295
360.89120.8963480006077230.8914041666666671.005546119398950.99425669427027
370.88320.911349737883090.90121.011262469910220.969112036013224
380.87070.9092015206344560.9098958333333330.9992369316646560.957653479717468
390.87660.917103292932110.9159751.001231794461760.955835625883956
400.8860.9209747161270410.9220333333333330.9988518666646620.962024238543573
410.9170.9333011311811250.9299166666666671.003639535278560.9825338996852
420.95610.9456348771878430.9399666666666671.006030225030511.01106676907188
430.99350.9576768725803330.9527666666666671.005153628989611.03740627809372
440.97810.9687146597168270.9688833333333330.9998259092599661.0096884466329
450.98060.9790213651555670.9860041666666670.9929180811327541.00161246209799
460.98120.991838065468391.002808333333330.9890604540266650.989274392828061
471.00131.008065584123051.021091666666670.9872429841816820.993288547660385
481.01941.045604562930511.03983751.005546119398950.974938362111711
491.06221.066477400767321.05461.011262469910220.995989225121657
501.07851.065469686285161.066283333333330.9992369316646561.01222964283505
511.07971.079423825810081.078095833333331.001231794461761.0002558533389
521.08621.090854447350031.092108333333330.9988518666646620.995733209539237
531.15561.11113351133831.107104166666671.003639535278561.04001903300365
541.16741.12971325761281.122941666666671.006030225030511.03335956459149
551.13651.145984028691291.140108333333331.005153628989610.991724117916263
561.11551.156036209757971.15623750.9998259092599660.964935172950632
571.12671.161780349464061.170066666666670.9929180811327540.969804662748645
581.17141.167944400393061.18086250.9890604540266651.00295870214864
591.1711.17226054644221.187408333333330.9872429841816820.99892468748008
601.22981.197831676081021.1912251.005546119398951.0266884943497
611.26381.210426399765411.196945833333331.011262469910221.04409487453754
621.2641.204097156604771.205016666666670.9992369316646561.04974917768607
631.22611.214815395216171.213320833333331.001231794461761.00928915193886
641.19891.219211074099221.22061250.9988518666646620.983340805763082
651.21.233753171560951.229279166666671.003639535278560.972641876560893
661.21461.246731339954271.239258333333331.006030225030510.974227534895012
671.22661.252316718218031.245895833333331.005153628989610.979464685056169
681.21911.249253312031311.249470833333330.9998259092599660.975862932088387
691.22241.245988077061461.2548750.9929180811327540.981068777867366
701.25071.248886635299471.26270.9890604540266651.00145198503153
711.29971.253383125154891.269579166666670.9872429841816821.03695348526364
721.34061.279578385812651.272520833333331.005546119398951.04768884412548
731.31231.285942424705961.271620833333331.011262469910221.020496699376
741.30131.270146717787811.271116666666670.9992369316646561.02452730993665
751.31851.273158006239291.271591666666671.001231794461761.03561379933874
761.29431.268154815565791.26961250.9988518666646621.02061671344326
771.26971.267153458928751.262558333333331.003639535278561.00200965483171
781.21551.258631839157861.25108751.006030225030510.965731171089145
791.20411.246888888621491.240495833333331.005153628989610.965683479087864
801.22951.231656376028331.231870833333330.9998259092599660.998249206458634
811.22341.213920960199551.222579166666670.9929180811327541.00780861366698
821.20221.20167548296061.214966666666670.9890604540266651.00043648809253
831.17891.196999210220821.212466666666670.9872429841816820.98487951364857
841.18611.221604462253811.214866666666671.005546119398950.970936204515574
851.21261.233377844238751.219641666666671.011262469910220.98315370724729
861.1941.2235198244641.224454166666670.9992369316646560.975873031336508
871.20281.230146757068871.228633333333331.001231794461760.977769516594893
881.22731.231730017494751.233145833333330.9988518666646620.996403418418136
891.27671.244717933483871.240204166666671.003639535278561.02569422811047
901.26611.257923426207731.250383333333331.006030225030511.00650005685713
911.26811.266087322935191.259595833333331.005153628989611.00158968266118
921.2811.267737593528751.267958333333330.9998259092599661.0104614760491
931.27221.268734175436751.277783333333330.9929180811327541.00273171845636
941.26171.27393459129771.2880250.9890604540266650.990396217057555
951.28881.279783647956891.296320833333330.9872429841816821.00704521585153
961.32051.309841134231061.302616666666671.005546119398951.0081375256055
971.29931.3248928841721.31013751.011262469910220.980683054096108
981.3081.316886025266421.317891666666670.9992369316646560.993252244236837
991.32461.327875323806621.326241666666671.001231794461760.997533410141826
1001.35131.336388883707321.3379250.9988518666646621.01115776737929
1011.35181.357058652132721.35213751.003639535278560.996124963261937
1021.34211.373491148308111.365258333333331.006030225030510.97714499409277
1031.37261.385231533091431.378129166666671.005153628989610.990881283893938
1041.36261.39211177069941.392354166666670.9998259092599660.978800717499446
1051.3911.398847815651851.4088250.9929180811327540.99438980025987
1061.42331.412019793935491.42763750.9890604540266651.00798870250471
1071.46831.427018598510281.445458333333330.9872429841816821.02892842569313
1081.45591.470975710089251.46286251.005546119398950.989751217517838
1091.47281.496925484678231.480254166666671.011262469910220.98388330954001
1101.47591.493122275601561.49426250.9992369316646560.988465595964256
1111.5521.503449662563781.50161.001231794461761.03229262584916
1121.57541.497649355697551.499370833333330.9988518666646621.05191511885386
1131.55541.492675444337241.48726251.003639535278561.04202156329477
1141.55621.483710143045411.474816666666671.006030225030511.04885715535098
1151.57591.471812953808521.464266666666671.005153628989611.07072029494111
1161.49551.44965591771861.449908333333330.9998259092599661.03162411281261
1171.43421.421304312920141.431441666666670.9929180811327541.00907313582506
1181.32661.395073891489841.410504166666670.9890604540266650.950917372973907
1191.27441.374151736707351.391908333333330.9872429841816820.927408499336201
1201.35111.385148159023051.377508333333331.005546119398950.975419121195624
1211.32441.379475775985411.36411251.011262469910220.960074850936717
1221.27971.353262413066231.354295833333330.9992369316646560.945640688490305
1231.3051.354061707030941.352395833333331.001231794461760.963767007975938
1241.31991.358284549001161.359845833333330.9988518666646620.971740421379754
1251.36461.380347271182581.375341666666671.003639535278560.98859180474991
1261.40141.397183160107581.388808333333331.006030225030511.0030181009998
1271.4092NANA1.00515362898961NA
1281.4266NANA0.999825909259966NA
1291.4575NANA0.992918081132754NA
1301.4821NANA0.989060454026665NA
1311.4908NANA0.987242984181682NA
1321.4579NANA1.00554611939895NA
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2010/May/27/t1274975503fbw5sthvuxgoriz/1jrfl1274975469.png (open in new window)
http://www.freestatistics.org/blog/date/2010/May/27/t1274975503fbw5sthvuxgoriz/1jrfl1274975469.ps (open in new window)


http://www.freestatistics.org/blog/date/2010/May/27/t1274975503fbw5sthvuxgoriz/2jrfl1274975469.png (open in new window)
http://www.freestatistics.org/blog/date/2010/May/27/t1274975503fbw5sthvuxgoriz/2jrfl1274975469.ps (open in new window)


http://www.freestatistics.org/blog/date/2010/May/27/t1274975503fbw5sthvuxgoriz/3u1x61274975469.png (open in new window)
http://www.freestatistics.org/blog/date/2010/May/27/t1274975503fbw5sthvuxgoriz/3u1x61274975469.ps (open in new window)


http://www.freestatistics.org/blog/date/2010/May/27/t1274975503fbw5sthvuxgoriz/4u1x61274975469.png (open in new window)
http://www.freestatistics.org/blog/date/2010/May/27/t1274975503fbw5sthvuxgoriz/4u1x61274975469.ps (open in new window)


 
Parameters (Session):
par1 = Default ; par2 = 1 ; par3 = 1 ; par4 = 0 ; par5 = 12 ; par6 = White Noise ; par7 = 0.95 ;
 
Parameters (R input):
par1 = multiplicative ; par2 = 12 ; par3 = 1 ; par4 = 0 ; par5 = 12 ; par6 = White Noise ; par7 = 0.95 ;
 
R code (references can be found in the software module):
par2 <- as.numeric(par2)
x <- ts(x,freq=par2)
m <- decompose(x,type=par1)
m$figure
bitmap(file='test1.png')
plot(m)
dev.off()
mylagmax <- length(x)/2
bitmap(file='test2.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(x),lag.max = mylagmax,main='Observed')
acf(as.numeric(m$trend),na.action=na.pass,lag.max = mylagmax,main='Trend')
acf(as.numeric(m$seasonal),na.action=na.pass,lag.max = mylagmax,main='Seasonal')
acf(as.numeric(m$random),na.action=na.pass,lag.max = mylagmax,main='Random')
par(op)
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
spectrum(as.numeric(x),main='Observed')
spectrum(as.numeric(m$trend[!is.na(m$trend)]),main='Trend')
spectrum(as.numeric(m$seasonal[!is.na(m$seasonal)]),main='Seasonal')
spectrum(as.numeric(m$random[!is.na(m$random)]),main='Random')
par(op)
dev.off()
bitmap(file='test4.png')
op <- par(mfrow = c(2,2))
cpgram(as.numeric(x),main='Observed')
cpgram(as.numeric(m$trend[!is.na(m$trend)]),main='Trend')
cpgram(as.numeric(m$seasonal[!is.na(m$seasonal)]),main='Seasonal')
cpgram(as.numeric(m$random[!is.na(m$random)]),main='Random')
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Classical Decomposition by Moving Averages',6,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Observations',header=TRUE)
a<-table.element(a,'Fit',header=TRUE)
a<-table.element(a,'Trend',header=TRUE)
a<-table.element(a,'Seasonal',header=TRUE)
a<-table.element(a,'Random',header=TRUE)
a<-table.row.end(a)
for (i in 1:length(m$trend)) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
if (par1 == 'additive') a<-table.element(a,m$trend[i]+m$seasonal[i]) else a<-table.element(a,m$trend[i]*m$seasonal[i])
a<-table.element(a,m$trend[i])
a<-table.element(a,m$seasonal[i])
a<-table.element(a,m$random[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')
 





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