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WS8 - Seasonal Decomposition of time series by loess (6)

*The author of this computation has been verified*
R Software Module: /rwasp_decomposeloess.wasp (opens new window with default values)
Title produced by software: Decomposition by Loess
Date of computation: Sat, 27 Nov 2010 11:09:48 +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/Nov/27/t1290856100ip1lvs95ptzlbfq.htm/, Retrieved Sat, 27 Nov 2010 12:08:26 +0100
 
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/Nov/27/t1290856100ip1lvs95ptzlbfq.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 «
235.1 280.7 264.6 240.7 201.4 240.8 241.1 223.8 206.1 174.7 203.3 220.5 299.5 347.4 338.3 327.7 351.6 396.6 438.8 395.6 363.5 378.8 357 369 464.8 479.1 431.3 366.5 326.3 355.1 331.6 261.3 249 205.5 235.6 240.9 264.9 253.8 232.3 193.8 177 213.2 207.2 180.6 188.6 175.4 199 179.6 225.8 234 200.2 183.6 178.2 203.2 208.5 191.8 172.8 148 159.4 154.5 213.2 196.4 182.8 176.4 153.6 173.2 171 151.2 161.9 157.2 201.7 236.4 356.1 398.3 403.7 384.6 365.8 368.1 367.9 347 343.3 292.9 311.5 300.9 366.9 356.9 329.7 316.2 269 289.3 266.2 253.6 233.8 228.4 253.6 260.1 306.6 309.2 309.5 271 279.9 317.9 298.4 246.7 227.3 209.1 259.9 266 320.6 308.5 282.2 262.7 263.5 313.1 284.3 252.6 250.3 246.5 312.7 333.2 446.4 511.6 515.5 506.4 483.2 522.3 509.8 460.7 405.8 375 378.5 406.8 467.8 469.8 429.8 355.8 332.7 378 360.5 334.7 319.5 323.1 363.6 352.1 411.9 388.6 416.4 360.7 338 417.2 388. etc...
 
Output produced by software:


Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time10 seconds
R Server'George Udny Yule' @ 72.249.76.132


Seasonal Decomposition by Loess - Parameters
ComponentWindowDegreeJump
Seasonal601
Trend2513
Low-pass1312


Seasonal Decomposition by Loess - Time Series Components
tObservedFittedSeasonalTrendRemainder
1235.1243.60065732539137.5722695491144189.0270731254948.50065732539116
2280.7303.87550681863760.9337067634024196.59078641796123.1755068186367
3264.6289.77187531519335.2736249743803204.15449971042725.1718753151925
4240.7267.44778968852.23399730860661211.71821300289426.7477896884998
5201.4198.612919271856-15.828619591314220.015700319458-2.78708072814385
6240.8234.21261405653819.0741983074401228.313187636022-6.58738594346218
7241.1223.16292136560122.4264036818131236.610674952586-17.9370786343995
8223.8217.263635956741-15.1436834245984245.480047467858-6.53636404325925
9206.1188.663607992575-30.8130279757041254.349419983129-17.4363920074248
10174.7135.728820011534-49.5476125099341263.2187924984-38.9711799884662
11203.3168.712939544580-34.4891386012024272.376199056623-34.5870604554205
12220.5187.81009487711-28.3437004919556281.533605614846-32.6899051228901
13299.5270.42037266557637.8886151613558290.691012173068-29.0796273344242
14347.4332.23396426956559.4453118854421303.120723844993-15.166035730435
15338.3327.2384149238633.8111495592226315.550435516917-11.0615850761399
16327.7326.2151747295531.20467808160515327.980147188842-1.48482527044689
17351.6379.959117931529-16.2210729061417339.46195497461328.3591179315286
18396.6423.65431071509118.6019265245244350.94376276038427.0543107150912
19438.8493.47477014375721.6996593100871362.42557054615654.6747701437572
20395.6437.247801837724-15.0898395090632369.04203767133941.6478018377243
21363.5380.766329275152-29.4248340716738375.65850479652217.2663292751518
22378.8423.306241634106-47.9812135558106382.27497192170544.5062416341055
23357365.457615401756-32.1507940801236380.6931786783688.4576154017555
24369385.694000973683-26.8053864087144379.11138543503116.6940009736834
25464.8514.06982793606538.0005798722405377.52959219169449.2698279360654
26479.1532.8333874152356.2690563333156369.09755625145553.7333874152298
27431.3471.36274758727630.5717321015087360.66552031121540.0627475872761
28366.5381.927616062312-1.16110043328748352.23348437097615.4276160623118
29326.3328.878434321064-16.3294090709642340.05097474992.57843432106398
30355.1364.01833498976518.31319988141327.8684651288258.91833498976519
31331.6325.82014045718621.6939040350645315.685955507749-5.77985954281382
32261.3234.669885372127-14.2934550635298302.223569691403-26.6301146278732
33249235.722958285913-26.4841421609697288.761183875057-13.2770417140871
34205.5179.353728893832-43.6525269525429275.298798058710-26.1462711061676
35235.6234.267142981473-27.036602309119263.969459327646-1.33285701852697
36240.9251.737977373173-22.5780979697546252.64012059658110.8379773731732
37264.9246.68034075751541.808877376968241.310781865517-18.2196592424849
38253.8222.69680816036850.7138870183044234.189304821328-31.1031918396324
39232.3212.97197467193924.5601975509220227.067827777139-19.3280253280612
40193.8173.533738780470-5.88008951342031219.946350732951-20.2662612195303
41177157.631020311858-19.0355562262114215.404535914353-19.3689796881417
42213.2200.69095019212814.8463287121160210.862721095756-12.5090498078718
43207.2192.38847142507415.6906222977675206.320906277158-14.8115285749258
44180.6175.023688906554-17.5827286201787203.759039713625-5.57631109344632
45188.6198.481601237274-22.4787743873657201.1971731500929.88160123727388
46175.4191.869979867460-39.7052864540181198.63530658655916.4699798674596
47199217.608259826477-17.6739548866608198.06569506018418.6082598264769
48179.6177.80864222174-16.1047257555494197.496083533809-1.79135777825991
49225.8212.38424962539142.2892783671744196.926472007435-13.4157503746090
50234227.13950060679444.7242529614719196.136246431734-6.86049939320577
51200.2181.69514398532123.3588351586459195.346020856033-18.5048560146791
52183.6172.4777722742530.166432445414330194.555795280332-11.1222277257468
53178.2180.816913107713-16.8170585327887192.4001454250762.61691310771255
54203.2207.8862235919968.2692808381837190.244495569824.68622359199634
55208.5223.1034502870955.80770399834114188.08884571456414.6034502870952
56191.8218.38856112473-20.6849258055937185.89636468086426.5885611247301
57172.8185.519290680729-23.6231743278924183.70388364716312.719290680729
58148159.976784294846-45.4881869083097181.51140261346311.9767842948464
59159.4160.209095125057-21.5586160738718180.1495209488150.809095125056672
60154.5151.509154104829-21.2967933889963178.787639284167-2.99084589517065
61213.2203.60151247339645.3727299070851177.425757619519-9.59848752660395
62196.4165.05355606278549.2029495472508178.543494389964-31.3464439372149
63182.8154.9514853172830.9872835223106179.661231160409-27.8485146827200
64176.4159.37482826336112.6462038057845180.778967930855-17.0251717366392
65153.6128.217675748399-8.91273320080235187.895057452403-25.382324251601
66173.2144.3978917825736.99096124347488195.011146973952-28.8021082174269
67171137.4937234717882.37904003271148202.127236495501-33.5062765282121
68151.2106.906896426277-19.3298013756020214.822904949325-44.2931035737235
69161.9122.001257658448-25.7198310615983227.51857340315-39.8987423415518
70157.2124.828916180036-50.6431580370105240.214241856975-32.3710838199644
71201.7176.423782441531-27.6417477152160254.617965273685-25.2762175584690
72236.4229.040392747576-25.2620814379705269.021688690395-7.35960725242444
73356.1380.74076889902448.0338189938706283.42541210710524.6407688990244
74398.3448.85312243743452.1743834420225295.57249412054350.5531224374341
75403.7461.95331458246937.7271092835489307.71957613398258.2533145824693
76384.6429.85684963280119.4764922197784319.8666581474245.2568496328014
77365.8410.904016410136-5.62534201869657326.32132560856145.1040164101361
78368.1393.9415154842159.48249144608438332.77599306970125.8415154842147
79367.9397.137322728614-0.567983259455486339.23066053084129.2373227286142
80347379.434066788414-23.6964458098901338.26237902147732.4340667884135
81343.3382.216928158907-32.9110256710186337.29409751211238.9169281589067
82292.9305.737514162843-56.2633301655907336.32581600274712.8375141628435
83311.5320.982490878779-28.6634031457305330.6809122669529.48249087877889
84300.9299.617832950897-22.8538414820535325.036008531156-1.28216704910255
85366.9366.19546638882048.2134288158189319.391104795361-0.7045336111795
86356.9348.46598072572752.1365057610315313.197513513242-8.43401927427334
87329.7312.40024427856839.995833490309307.003922231123-17.2997557214321
88316.2314.58911908343817.0005499675573300.810330949004-1.61088091656177
89269245.252434828291-2.86164809279135295.609213264500-23.7475651717090
90289.3269.49673352466918.6951708953348290.408095579996-19.8032664753311
91266.2244.8106221733462.38239993116125285.206977895492-21.3893778266535
92253.6251.152115249027-26.3349971281452282.382881879118-2.44788475097323
93233.8226.476560201357-38.4353460641019279.558785862745-7.32343979864277
94228.4239.786340321351-59.7210301677217276.73468984637111.3863403213509
95253.6255.966803611445-24.9115891986851276.144785587242.36680361144482
96260.1264.600821170042-19.9557024981520275.5548813281104.50082117004229
97306.6291.89657636229546.3384465687255274.964977068979-14.7034236377045
98309.2292.41548854764350.7141418935301275.270369558827-16.7845114523566
99309.5306.86058047713136.5636574741951275.575762048674-2.63941952286910
100271253.38837340772612.7304720537529275.881154538521-17.6116265922744
101279.9286.821649321656-2.55007732693506275.5284280052796.92164932165565
102317.9331.99935490912628.6249436188362275.17570147203714.0993549091265
103298.4315.3271954286946.64982963251108274.82297493879516.9271954286937
104246.7248.009418256767-28.8358695256452274.2264512688781.30941825676729
105227.3229.185260620091-48.2151882190516273.6299275989601.88526062009112
106209.1211.420664936971-66.2540688660139273.0334039290432.32066493697079
107259.9275.154179101984-28.6051656731482273.25098657116415.254179101984
108266279.311463999991-20.7800332132767273.46856921328513.3114639999915
109320.6321.58512017277945.9287279718148273.6861518554060.985120172779034
110308.5284.21537596028256.436468035573276.348156004145-24.2846240397183
111282.2244.75206618537340.6377736617429279.010160152884-37.4479338146272
112262.7232.21515966379611.5126760345806281.672164301623-30.4848403362039
113263.5238.797866798732-1.55766337183393289.759796573102-24.7021332012685
114313.1291.88267973954336.4698914158757297.847428844581-21.2173202604571
115284.3249.27516995195413.3897689319852305.935061116061-35.0248300480458
116252.6213.428744872890-27.8773782454644319.648633372575-39.1712551271104
117250.3220.806563809404-53.5687694384932333.362205629089-29.4934361905958
118246.5215.793848878199-69.8696267638023347.075777885603-30.7061511218010
119312.7295.667175271615-32.7664007627599362.499225491144-17.0328247283845
120333.2309.458516280512-20.9811893771973377.922673096685-23.7414837194881
121446.4450.07923310082449.3746461969493393.3461207022263.67923310082421
122511.6557.16132622233260.912257763627405.12641601404145.5613262223319
123515.5568.77016653214645.3231221419979416.90671132585653.2701665321463
124506.4577.3605496834926.75244367883749428.6870066376770.9605496834922
125483.2542.253484105694-9.85740940636509434.00392530067159.0534841056939
126522.3570.7446965615734.5344594747581439.32084396367248.4446965615698
127509.8563.61192319625611.3503141770709444.63776262667353.8119231962563
128460.7506.963627449125-27.3791330308325441.81550558170746.2636274491252
129405.8429.124670461786-56.5179189985275438.99324853674223.3246704617860
130375381.859597910139-68.0305894019153436.1709914917766.85959791013937
131378.5361.977357456849-33.1617894383154428.184431981466-16.5226425431511
132406.8413.373685663881-19.9715581350383420.1978724711576.57368566388146
133467.8470.25935496466653.1293320744864412.2113129608472.45935496466626
134469.8471.17318317777463.7748024420645404.6520143801611.37318317777448
135429.8409.68495750556852.8223266949575397.092715799475-20.1150424944323
136355.8317.0274384893475.03914429186483389.533417218789-38.7725615106534
137332.7299.046286633196-17.7217698197352384.075483186539-33.6537133668036
138378342.60822622168934.7742246240218378.617549154289-35.3917737783108
139360.5337.31009258216910.5302922957922373.159615122039-23.1899074178315
140334.7322.751755766349-23.9131462827519370.561390516403-11.9482442336513
141319.5329.462164300842-58.4253302116089367.9631659107679.9621643008419
142323.1344.11254835385-63.2774896589808365.36494130513121.0125483538500
143363.6394.454993791952-33.4531651687514366.19817137679930.8549937919521
144352.1351.811414124564-14.6428155730322367.031401448468-0.288585875435615
145411.9399.55355353584656.3818149440178367.864631520136-12.3464464641542
146388.6342.91898055001762.7125545307105371.568464919273-45.6810194499835
147416.4404.99533487590252.5323668056880375.27229831841-11.4046651240977
148360.7344.890093511640-2.46622522918679378.976131717546-15.8099064883595
149338312.850954186626-22.2810082616804385.430054075054-25.1490458133737
150417.2407.8009238596234.715099707818391.883976432562-9.3990761403798
151388.4371.082022731927.38007847801075398.337898790070-17.3179772680803
152371.1357.489449830856-22.4212460351179407.131796204262-13.6105501691438
153331.5304.616024158944-57.5417177773978415.925693618454-26.8839758410562
154353.7342.664638254204-59.9842292868499424.719591032646-11.0353617457964
155396.7390.430062863311-29.9543986827278432.924335819417-6.26993713668912
156447465.562288228944-12.6913688351312441.12908060618818.5622882289435
157533.5560.50767713227757.1584974747647449.33382539295827.0076771322770
158565.4617.76502895550959.3596885769719453.67528246751952.3650289555089
159542.3579.09011085619947.4931496017207458.0167395420836.7901108561991
160488.7520.998599734568-5.95679635120928462.35819661664132.2985997345683
161467.1491.42995604024-18.6330952001777461.40313915993824.3299560402399
162531.3564.88159479704937.2703234997168460.44808170323433.5815947970488
163496.1529.0861152658183.62086048765119459.49302424653132.9861152658177
164444456.340584945563-22.3385117680173453.99792682245412.3405849455629
165403.4417.204873305745-58.9077027041228448.50282939837813.804873305745
166386.3394.297169097905-64.704901072206443.0077319743017.99716909790493
167394.1382.641224460056-30.5367770632674436.095552603212-11.4587755399442
168404.1395.173484690546-16.1568579226681429.183373232122-8.92651530945409
169462.1444.14769932128157.7811068176862422.271193861033-17.9523006787188
170448.1414.07097120337665.2793023815499416.849726415074-34.0290287966238
171432.3408.89394696422244.2777940666628411.428258969115-23.4060530357781
172386.3370.202926507461-3.60971803061761406.006791523157-16.0970734925390
173395.2399.303161382584-12.4927129266773403.5895515440934.10316138258440
174421.9397.69355807778444.9341303571867401.172311565029-24.2064419222157
175382.9363.0032347461444.04169366789127398.755071585965-19.8967652538564
176384.2390.069402200051-20.5814283868331398.9120261867825.86940220005124
177345.5346.99021058871-55.0591913763087399.0689807875981.49021058871017
178323.4312.504450475959-64.9303858643743399.225935388415-10.8955495240409
179372.6374.768128625834-29.7169678493657400.1488392235322.16812862583367
180376371.262715673313-20.3344587319624401.071743058649-4.73728432668673
181462.7469.58844358990153.8169095163325401.9946468937666.8884435899015
182487508.18953683144163.1564067514016402.65405641715821.1895368314405
183444.2449.45400731394635.6325267455039403.313465940555.25400731394632
184399.3399.304780272133-4.67765573607425403.9728754639420.00478027213267751
185394.9400.281550237277-14.3440744903996403.8625242531235.38155023727705
186455.4456.58222487156750.4656020861295403.7521730423031.18222487156697
187414423.5108195093580.847358659157774403.6418218314849.51081950935787
188375.5367.386060889502-18.6753036704576402.289242780956-8.11393911049817
189347342.315575605605-49.2522393360321400.936663730427-4.68442439439502
190339.4338.774647859055-59.558732538953399.584084679898-0.625352140945438
191385.8399.822135435722-25.5334570028955397.31132156717414.0221354357217
192378.8384.452725852837-21.8912843072864395.0385584544495.65272585283702
193451.8463.08452992945747.7496747288185392.76579534172511.2845299294568
194446.1444.01013957759858.0274029783437390.162457444058-2.08986042240184
195422.5429.54824029104727.8926401625618387.5591195463927.04824029104662
196383.1386.159247882971-4.91502953169545384.9557816487253.05924788297051
197352.8341.302753540337-17.808548728013382.105795187676-11.4972464596628
198445.3452.26266246728159.0815288060923379.2558087266276.962662467281
199367.5355.3500537801163.24412395430648376.405822265578-12.1499462198840
200355.1353.531371517057-16.5791156896442373.247744172588-1.56862848294344
201326.2327.29164276442-44.9813088440176370.0896660795981.09164276441976
202319.8324.919582170995-52.251170157603366.9315879866085.11958217099499
203331.8323.796473699375-23.7304045702576363.533930870883-8.0035263006252
204340.9343.422704899664-21.7589786548215360.1362737551582.52270489966367
205394.1391.40432244336640.0570609172015356.738616639433-2.69567755663417
206417.2434.69407442683846.9213085420428352.78461703111917.494074426838
207369.9370.84122141855220.1281611586423348.8306174228060.94122141855189
208349.2361.004051047779-7.48066886227083344.87661781449211.8040510477786
209321.4324.309470765681-21.6319499598691340.1224791941882.90947076568125
210405.7408.99254407244267.0391153536747335.3683405738833.29254407244184
211342.9345.4487316119869.73706643443515330.6142019535792.54873161198583
212316.5318.470620480131-11.3403405864293325.8697201062991.97062048013072
213284.2284.29677320252-37.0220114615379321.1252382590180.0967732025197847
214270.9266.594152486556-41.1749088982934316.380756411738-4.30584751344435
215288.8289.028370095175-23.5578859631164312.1295158679410.228370095175251
216278.8271.834202629851-22.1124779539953307.878275324145-6.96579737014923
217324.4314.73176127425230.4412039454005303.627034780348-9.66823872574844
218310.9284.6531465458136.793196682502300.353656771688-26.24685345419
219299289.4065625089511.5131587280219297.080278763028-9.59343749104988
220273267.110756552368-14.9176573067365293.806900754368-5.8892434476316
221279.3294.97172791045-28.4284450308571292.05671712040715.6717279104499
222359.2357.59454363866870.4989228748857290.306533486446-1.60545636133202
223305302.08713165985619.3565184876582288.556349852485-2.91286834014352
224282.1281.773866206155-5.69303265279062288.119166446635-0.326133793844804
225250.3239.912006234344-26.9939892751293287.681983040786-10.3879937656563
226246.5235.512116590134-29.7569162250698287.244799634936-10.9878834098659
227257.9247.823658178225-19.7143949937560287.690736815531-10.0763418217748
228266.5268.447300849454-23.5839748455797288.1366739961261.94730084945371
229315.9320.36776787556122.849620947718288.5826111767214.46776787556092
230318.4317.43596310503929.6544479854917289.709588909469-0.964036894960884
231295.4294.3401494654675.62328389231571290.836566642217-1.05985053453287
232266.4264.285415004216-23.4489593791813291.963544374965-2.11458499578384
233245.8235.393263044377-36.7837726005411292.990509556165-10.4067369556234
234362.8360.39033191208171.1921933505554294.017474737364-2.40966808791933
235324.9325.96497433601128.7905857454254295.0444399185631.06497433601135
236294.2295.972776161608-2.68745959499232295.1146834333841.77277616160814
237289.5302.206629363512-18.3915563117174295.18492694820512.7066293635123
238295.2317.492822321179-22.3479927842056295.25517046302622.2928223211795
239290.3304.981708633696-18.9776824367155294.59597380301914.6817086336962
240272278.325450855352-28.2622279983645293.9367771430136.32545085535196
241307.4303.23490281983418.2875166971598293.277580483006-4.16509718016556
242328.7337.82341040553527.8483166111433291.7282729833219.12341040553537
243292.9291.2197280068454.40130650951837290.178965483637-1.68027199315537
244249.1235.870438562221-26.3000965461732288.629657983953-13.2295614377794
245230.4220.229717146333-45.825819082837286.396101936504-10.1702828536668
246361.5369.89583675063168.9416173603137284.1625458890558.3958367506313
247321.7327.68892381076733.7820863476273281.9289898416065.98892381076655
248277.2276.505600376961-2.52581889787869280.420218520918-0.694399623039317
249260.7253.629970260734-11.1414174609638278.91144720023-7.07002973926603
250251243.280047039578-18.6827229191198277.402675879542-7.71995296042184
251257.6257.784510688839-19.9302771342474277.3457664454080.184510688839225
252241.8239.651119527308-33.3399765385824277.288857011275-2.14888047269233
253287.5279.41520622961918.3528461932400277.231947577141-8.08479377038122
254292.3274.19295505031931.9523527220352278.454692227646-18.1070449496808
255274.7262.2565090144857.46605410736482279.67743687815-12.4434909855147
256254.2253.271325188517-25.7715067171709280.900181528654-0.92867481148329
257230226.799957806549-51.1239752976928284.324017491144-3.20004219345111
258339325.12082176755565.1313247788117287.747853453634-13.8791782324454
259318.2310.01349002596535.2148205579114291.171689416123-8.18650997403478
260287279.223111312636-3.08090487169472297.857793559059-7.77688868736425
261295.8297.406280073523-10.3501777755179304.5438977019951.60628007352335
262284280.696228421662-23.9262302665921311.23000184493-3.303771578338
263271241.278308786459-19.9970282657452320.718719479286-29.7216912135405
264262.7228.810163967084-33.6176010807256330.207437113641-33.8898360329158
265340.6314.92359982251526.5802454294876339.696154747997-25.6764001774847
266379.4370.75184317902536.5837910428335351.464365778141-8.64815682097486
267373.3370.31218286975813.0552403219562363.232576808286-2.98781713024181
268355.2359.541980341597-24.1427681800271375.000787838434.34198034159721
269338.4341.805724307027-53.0438754953705388.0381511883433.4057243070273
270466.9473.64684553488759.077639926856401.0755145382566.74684553488748
271451454.08553069138733.8015914204433414.112877888173.08553069138691
272422419.881175186324-1.66105202647009425.779876840147-2.11882481367644
273429.2432.224826333048-11.2717021251712437.4468757921233.02482633304794
274425.9432.316315361819-29.6301901059187449.11387474416.41631536181865
275460.7486.38513814065-22.4735258029875457.48838766233725.6851381406503
276463.6495.642850914323-34.3057514948976465.86290058057432.0428509143234
277541.4575.49080335657433.0717831446146474.23741349881134.0908033565739
278544.2567.71040766756741.1475417708703479.54205056156323.5104076675669
279517.5532.33916110405417.8141512716319484.84668762431414.8391611040539
280469.4471.895998297714-23.24732298478490.1513246870662.49599829771444
281439.4440.890377928567-54.6706101461916492.5802322176251.49037792856694
282549547.30771181158455.6831484402326495.009139748184-1.69228818841628
283533536.28124746549332.2807052557642497.4380472787433.28124746549298
284506.1514.623743017468-0.0357802580996374497.6120372406328.52374301746778
285484481.913416665222-11.6994438677434497.786027202521-2.08658333477763
286457448.774614070882-32.7346312352917497.96001716441-8.22538592911832
287481.5488.074161677758-22.4638730702756497.3897113925176.57416167775813
288469.5474.023867582317-31.8432732029424496.8194056206254.52386758231734
289544.7553.84584457639939.3050555748689496.2490998487329.1458445763987
290541.2541.25338021005946.7236388805677494.4229809093730.0533802100590037
291521.5531.03705693163719.3660810983491492.5968619700149.5370569316367
292469.7473.376756263881-24.7474992945358490.7707430306553.67675626388063
293434.4439.263290157698-57.3428145984089486.8795244407114.86329015769803
294542.6550.242344705651.9693494436335482.9883058507667.64234470560001
295517.3527.25304046541128.2498722737668479.0970872608229.95304046541094
296485.7502.501828147083-5.47227534302714474.37044719594416.8018281470834
297465.8478.349033111734-16.3928402427992469.64380713106512.549033111734
298447472.359466091605-43.2766331577917464.91716706618725.3594660916049
299426.6420.835110986954-28.2230052080017460.587894221048-5.76488901304612
300411.6400.796121720074-33.8547430959833456.258621375909-10.8038782799256
301467.5431.50512160027851.5655298689517451.92934853077-35.9948783997218
302484.5463.23210088766857.2101152343333448.557783877999-21.2678991123321
303451.2429.95186094322227.2619198315501445.186219225228-21.2481390567777
304417.4413.924801991276-20.9394565637324441.814654572456-3.47519800872402
305379.9373.573204065165-53.9544054369109440.181201371745-6.3267959348346
306484.7479.15109932469951.7011525042661438.547748171034-5.54890067530062
307455448.97394228892924.1117627407475436.914294970324-6.02605771107102
308420.8419.997533707916-16.5730302982283438.175496590312-0.802466292084034
309416.5417.622528420705-24.0592266310059439.4366982103011.12252842070473
310376.3367.288536578632-55.3864364089222440.69789983029-9.01146342136775
311405.6405.199475094739-39.337787065152445.338311970413-0.400524905260966
312405.8401.479765480905-39.8584895914408449.978724110536-4.32023451909504
313500.8480.70253686717366.2783268821681454.619136250659-20.097463132827
314514493.84687629317569.6838075098502464.469316196975-20.153123706825
315475.5438.64986231378338.0306415429266474.319496143291-36.8501376862173
316430.1391.313618300295-15.2832943899016484.169676089607-38.786381699705
317414.4377.654516141615-50.6068502816558501.752334140041-36.7454838583854
318538503.03163729138853.6333705181360519.334992190476-34.9683627086116
319526491.76508712116223.3172626379285536.91765024091-34.2349128788385
320488.5438.45294112777-21.7521940936453560.299252965875-50.0470588722299
321520.2486.554218325195-29.8350740160349583.680855690840-33.6457816748054
322504.4464.038048405156-62.3005068209616607.062458415806-40.3619515948441
323568.5548.823536542703-42.3870780290485630.563541486345-19.6764634572968
324610.6606.779705794909-39.6443303517941654.064624556885-3.82029420509070
325818881.45762172486876.9766706477073677.56570762742463.4576217248682
326830.9887.00935739555378.7116177674104696.07902483703656.1093573955532
327835.9914.87094092118342.3367170321691714.59234204664878.9709409211825
328782851.19524692321-20.3009061794702733.1056592562669.1952469232099
329762.3840.391150702273-58.8268249100804743.03567420780878.0911507022728
330856.9908.49563631814652.3386745224995752.96568915935551.5956363181456
331820.9855.9085446142822.9957512748175762.89570411090235.0085446142804
332769.6793.977960313479-18.0684613943824763.29050108090424.3779603134788
333752.2771.792396653641-31.0776947045463763.68529805090519.5923966536411
334724.4743.874657767136-59.154752788043764.08009502090719.4746577671361
335723.1722.653522622586-36.044426790115759.59090416753-0.44647737741434
336719.5720.54491590184-36.6466292159918755.1017133141521.04491590183966
337817.4810.30579900813273.8816785310936750.612522460775-7.09420099186832
338803.3783.47145079469776.7830509804496746.345498224853-19.8285492053029
339752.5722.20923714092740.7122888701413742.078473988932-30.2907628590732
340689669.482364586797-29.2938143398075737.81144975301-19.5176354132029
341630.4591.000753129526-65.0837097829329734.882956653407-39.3992468704739
342765.5751.03108294473748.01445350146731.954463553803-14.4689170552631
343757.7762.18468538663824.1893441591631729.02597045424.48468538663769
344732.2749.841173317192-12.1859030926644726.74472977547317.6411733171915
345702.6708.493336962425-27.7568260591715724.4634890967465.89333696242511
346683.3697.193543731826-52.7757921498458722.1822484180213.8935437318257
347709.5730.515928839356-31.1679099722805719.65198113292521.0159288393555
348702.2723.234281451971-35.9559952998007717.1217138478321.0342814519706
349784.8782.92139525853172.0871581787335714.591446562735-1.87860474146851
350810.9837.44018906350374.3333930055486710.02641793094826.5401890635029
351755.6766.77948103398438.9591296668539705.46138929916211.1794810339842
352656.8645.596417895089-32.8927785624644700.896360667375-11.2035821049111
353615.1604.139613314503-67.5962565675112693.656643253008-10.9603866854970
354745.3758.73183433031545.4512398310438686.41692583864113.4318343303150
355694.1683.88733019843525.1354613772912679.177208424274-10.2126698015651
356675.7690.276524125127-10.1845196371348671.30799551200814.5765241251266
357643.7650.376416200717-26.4151988004589663.4387825997426.67641620071663
358622.1639.266467915235-50.6360376027111655.56956968747717.1664679152345
359634.6649.510115030408-29.4309933125157649.12087828210814.9101150304076
360588567.8117697829-34.4839566596393642.67218687674-20.1882302171002
361689.7671.99562977508971.1808747535405636.223495471371-17.7043702249115
362673.9643.07432388094873.5661266465175631.159549472534-30.8256761190519
363647.9631.59400464558338.1103918807197626.095603473697-16.3059953544172
364568.8551.480742497285-34.9123999721454621.031657474861-17.3192575027153
365545.7544.618034513913-69.288835578778616.070801064865-1.08196548608703
366632.6609.66659921825644.4234561268749611.10994465487-22.9334007817442
367643.8655.9832416409425.4676701141855606.14908824487412.1832416409407
368593.1593.47068437968-8.75187659674512601.4811922170650.370684379679801
369579.7588.115482145997-25.5287783352539596.8132961892578.4154821459972
370546548.969843732551-49.1152438939994592.1454001614482.96984373255123
371562.9566.077555620739-28.058559741464587.7810041207253.1775556207391
372572.5595.491306186191-33.9079142661931583.41660808000222.9913061861914
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2010/Nov/27/t1290856100ip1lvs95ptzlbfq/1yaad1290856177.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Nov/27/t1290856100ip1lvs95ptzlbfq/1yaad1290856177.ps (open in new window)


http://www.freestatistics.org/blog/date/2010/Nov/27/t1290856100ip1lvs95ptzlbfq/2yaad1290856177.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Nov/27/t1290856100ip1lvs95ptzlbfq/2yaad1290856177.ps (open in new window)


http://www.freestatistics.org/blog/date/2010/Nov/27/t1290856100ip1lvs95ptzlbfq/3rj9x1290856177.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Nov/27/t1290856100ip1lvs95ptzlbfq/3rj9x1290856177.ps (open in new window)


http://www.freestatistics.org/blog/date/2010/Nov/27/t1290856100ip1lvs95ptzlbfq/4rj9x1290856177.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Nov/27/t1290856100ip1lvs95ptzlbfq/4rj9x1290856177.ps (open in new window)


 
Parameters (Session):
par1 = 12 ; par2 = 6 ; par3 = 0 ; par5 = 1 ; par7 = 1 ; par8 = FALSE ;
 
Parameters (R input):
par1 = 12 ; par2 = 6 ; par3 = 0 ; par5 = 1 ; par7 = 1 ; par8 = FALSE ;
 
R code (references can be found in the software module):
par1 <- as.numeric(par1) #seasonal period
if (par2 != 'periodic') par2 <- as.numeric(par2) #s.window
par3 <- as.numeric(par3) #s.degree
if (par4 == '') par4 <- NULL else par4 <- as.numeric(par4)#t.window
par5 <- as.numeric(par5)#t.degree
if (par6 != '') par6 <- as.numeric(par6)#l.window
par7 <- as.numeric(par7)#l.degree
if (par8 == 'FALSE') par8 <- FALSE else par9 <- TRUE #robust
nx <- length(x)
x <- ts(x,frequency=par1)
if (par6 != '') {
m <- stl(x,s.window=par2, s.degree=par3, t.window=par4, t.degre=par5, l.window=par6, l.degree=par7, robust=par8)
} else {
m <- stl(x,s.window=par2, s.degree=par3, t.window=par4, t.degre=par5, l.degree=par7, robust=par8)
}
m$time.series
m$win
m$deg
m$jump
m$inner
m$outer
bitmap(file='test1.png')
plot(m,main=main)
dev.off()
mylagmax <- nx/2
bitmap(file='test2.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(x),lag.max = mylagmax,main='Observed')
acf(as.numeric(m$time.series[,'trend']),na.action=na.pass,lag.max = mylagmax,main='Trend')
acf(as.numeric(m$time.series[,'seasonal']),na.action=na.pass,lag.max = mylagmax,main='Seasonal')
acf(as.numeric(m$time.series[,'remainder']),na.action=na.pass,lag.max = mylagmax,main='Remainder')
par(op)
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
spectrum(as.numeric(x),main='Observed')
spectrum(as.numeric(m$time.series[!is.na(m$time.series[,'trend']),'trend']),main='Trend')
spectrum(as.numeric(m$time.series[!is.na(m$time.series[,'seasonal']),'seasonal']),main='Seasonal')
spectrum(as.numeric(m$time.series[!is.na(m$time.series[,'remainder']),'remainder']),main='Remainder')
par(op)
dev.off()
bitmap(file='test4.png')
op <- par(mfrow = c(2,2))
cpgram(as.numeric(x),main='Observed')
cpgram(as.numeric(m$time.series[!is.na(m$time.series[,'trend']),'trend']),main='Trend')
cpgram(as.numeric(m$time.series[!is.na(m$time.series[,'seasonal']),'seasonal']),main='Seasonal')
cpgram(as.numeric(m$time.series[!is.na(m$time.series[,'remainder']),'remainder']),main='Remainder')
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Seasonal Decomposition by Loess - Parameters',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Component',header=TRUE)
a<-table.element(a,'Window',header=TRUE)
a<-table.element(a,'Degree',header=TRUE)
a<-table.element(a,'Jump',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Seasonal',header=TRUE)
a<-table.element(a,m$win['s'])
a<-table.element(a,m$deg['s'])
a<-table.element(a,m$jump['s'])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Trend',header=TRUE)
a<-table.element(a,m$win['t'])
a<-table.element(a,m$deg['t'])
a<-table.element(a,m$jump['t'])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Low-pass',header=TRUE)
a<-table.element(a,m$win['l'])
a<-table.element(a,m$deg['l'])
a<-table.element(a,m$jump['l'])
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Seasonal Decomposition by Loess - Time Series Components',6,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Observed',header=TRUE)
a<-table.element(a,'Fitted',header=TRUE)
a<-table.element(a,'Seasonal',header=TRUE)
a<-table.element(a,'Trend',header=TRUE)
a<-table.element(a,'Remainder',header=TRUE)
a<-table.row.end(a)
for (i in 1:nx) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
a<-table.element(a,x[i]+m$time.series[i,'remainder'])
a<-table.element(a,m$time.series[i,'seasonal'])
a<-table.element(a,m$time.series[i,'trend'])
a<-table.element(a,m$time.series[i,'remainder'])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable1.tab')
 





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