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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_decomposeloess.wasp
Title produced by softwareDecomposition by Loess
Date of computationFri, 09 Dec 2016 15:05:12 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2016/Dec/09/t1481292388f5ixna1ykteui1z.htm/, Retrieved Fri, 17 May 2024 01:11:48 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=298551, Retrieved Fri, 17 May 2024 01:11:48 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact71
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Decomposition by Loess] [Decomposition by ...] [2016-12-09 14:05:12] [b7b12d6257d20c3ae3b596da588d7d29] [Current]
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Dataseries X:
3655
3390
4000
3810
3790
3790
3350
3900
3725
3945
3840
3625
4000
3915
4200
3900
4140
3945
3735
3970
3745
4140
3840
3570
4085
3865
4280
4280
4240
4065
4060
4265
4085
4450
4195
4160
4580
4130
4645
4375
4480
4485
4465
4515
4465
4790
4270
4495
4490
4275
4695
4630
4560
4665
4725
4840
4745
4940
4635
4910
4690
4585
5065
4705
4580
4660
4510
4885
4765
4700
4590
4655
4845
4495
5020
4535
4700
4435
4285
4780
4450
4875
4670
4325
5000
4675
4950
4790
4785
4520
4735
5055
4640
5045
4710
4650
4915
4260
4505
4575
4785
4610
5220
5285
4870
5440
4615
4645
4845
4780
5005
4905
4630
4785
5160




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time2 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298551&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]2 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=298551&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298551&T=0

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R ServerBig Analytics Cloud Computing Center







Seasonal Decomposition by Loess - Parameters
ComponentWindowDegreeJump
Seasonal11510116
Trend1912
Low-pass1312

\begin{tabular}{lllllllll}
\hline
Seasonal Decomposition by Loess - Parameters \tabularnewline
Component & Window & Degree & Jump \tabularnewline
Seasonal & 1151 & 0 & 116 \tabularnewline
Trend & 19 & 1 & 2 \tabularnewline
Low-pass & 13 & 1 & 2 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298551&T=1

[TABLE]
[ROW][C]Seasonal Decomposition by Loess - Parameters[/C][/ROW]
[ROW][C]Component[/C][C]Window[/C][C]Degree[/C][C]Jump[/C][/ROW]
[ROW][C]Seasonal[/C][C]1151[/C][C]0[/C][C]116[/C][/ROW]
[ROW][C]Trend[/C][C]19[/C][C]1[/C][C]2[/C][/ROW]
[ROW][C]Low-pass[/C][C]13[/C][C]1[/C][C]2[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=298551&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298551&T=1

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Seasonal Decomposition by Loess - Parameters
ComponentWindowDegreeJump
Seasonal11510116
Trend1912
Low-pass1312







Seasonal Decomposition by Loess - Time Series Components
tObservedFittedSeasonalTrendRemainder
136553584.2936029898191.208209882363634.49818712783-70.7063970101935
233903321.4849666084-195.2537638661743653.76879725777-68.5150333915976
340004135.67624238531191.2843502269773673.03940738771135.676242385314
438103931.76302348933-5.533984281261083693.77096079193121.763023489326
537903863.349688583952.147797219886383714.5025141961673.3496885839531
637903923.12998169475-80.22050406280793737.09052236806133.129981694745
733503001.41029149778-61.0888220377433759.67853053996-348.589708502222
839003858.16334361809160.0751712795513781.76148510236-41.836656381915
937253719.04271015228-72.88714981704913803.84443966476-5.9572898477154
1039453832.89186463497232.1744446914653824.93369067356-112.108135365027
1138403940.62974950108-106.6526911834413846.02294168236100.629749501083
1236253535.08595931592-155.2530465213193870.1670872054-89.9140406840797
1340004014.480557389291.208209882363894.3112327284414.4805573891999
1439154115.25579475803-195.2537638661743909.99796910815200.255794758025
1542004283.03094428517191.2843502269773925.6847054878683.0309442851662
1639003876.40297794329-5.533984281261083929.13100633797-23.5970220567101
1741404345.274895592032.147797219886383932.57730718809205.274895592028
1839454040.49971568579-80.22050406280793929.7207883770295.4997156857917
1937353604.2245524718-61.0888220377433926.86426956595-130.775447528204
2039703852.87625027315160.0751712795513927.0485784473-117.123749726853
2137453635.65426248839-72.88714981704913927.23288732866-109.345737511609
2241404107.52637501266232.1744446914653940.29918029588-32.4736249873417
2338403833.28721792035-106.6526911834413953.3654732631-6.71278207965497
2435703318.46875768207-155.2530465213193976.78428883925-251.531242317935
2540854078.5886857022391.208209882364000.20310441541-6.41131429777306
2638653896.4214997024-195.2537638661744028.8322641637731.4214997024014
2742804311.25422586089191.2843502269774057.4614239121331.2542258608905
2842804477.85847057839-5.533984281261084087.67551370287197.858470578386
2942404359.96259928652.147797219886384117.88960349362119.962599286497
3040654060.12428493749-80.22050406280794150.09621912532-4.8757150625097
3140603998.78598728072-61.0888220377434182.30283475702-61.2140127192752
3242654160.41651245045160.0751712795514209.50831627-104.583487549548
3340854006.17335203407-72.88714981704914236.71379778298-78.8266479659278
3444504406.90495164619232.1744446914654260.92060366234-43.0950483538081
3541954211.52528164173-106.6526911834414285.1274095417116.5252816417315
3641604161.02535778558-155.2530465213194314.227688735741.0253577855774
3745804725.4638221878691.208209882364343.32796792978145.463822187864
3841304082.62441416383-195.2537638661744372.62934970235-47.3755858361719
3946454696.78491829811191.2843502269774401.9307314749251.7849182981072
4043754332.25074940761-5.533984281261084423.28323487366-42.7492505923947
4144804513.216464507722.147797219886384444.6357382723933.2164645077191
4244854592.88585674098-80.22050406280794457.33464732182107.885856740983
4344654521.05526566649-61.0888220377434470.0335563712556.0552656664886
4445154392.04279800537160.0751712795514477.88203071508-122.957201994633
4544654517.15664475814-72.88714981704914485.7305050589152.1566447581399
4647904853.00398088724232.1744446914654494.821574421363.0039808872361
4742704142.74004739975-106.6526911834414503.91264378369-127.25995260025
4844954626.09348572149-155.2530465213194519.15956079983131.093485721493
4944904354.3853123016891.208209882364534.40647781596-135.614687698322
5042754188.71361521349-195.2537638661744556.54014865268-86.2863847865092
5146954620.04183028362191.2843502269774578.6738194894-74.9581697163803
5246304661.05075402594-5.533984281261084604.4832302553231.0507540259359
5345604487.559561758872.147797219886384630.29264102125-72.4404382411331
5446654751.93326030589-80.22050406280794658.2872437569286.933260305892
5547254824.80697554516-61.0888220377434686.2818464925899.8069755451579
5648404809.09344817573160.0751712795514710.83138054472-30.9065518242669
5747454827.5062352202-72.88714981704914735.3809145968582.5062352202012
5849404900.95959364404232.1744446914654746.86596166449-39.0404063559563
5946354618.30168245131-106.6526911834414758.35100873214-16.6983175486948
6049105218.67334637649-155.2530465213194756.57970014483308.673346376491
6146904533.9833985601291.208209882364754.80839155752-156.016601439881
6245854617.86005750183-195.2537638661744747.3937063643432.860057501829
6350655198.73662860185191.2843502269774739.97902117117133.736628601854
6447054685.72193308976-5.533984281261084729.8120511915-19.2780669102376
6545804438.207121568292.147797219886384719.64508121183-141.792878431714
6646604688.87620046129-80.22050406280794711.3443036015228.8762004612863
6745104378.04529604653-61.0888220377434703.04352599122-131.954703953473
6848854909.48958075181160.0751712795514700.4352479686424.4895807518069
6947654905.06017987098-72.88714981704914697.82696994607140.060179870979
7047004472.16127637019232.1744446914654695.66427893834-227.838723629809
7145904593.15110325282-106.6526911834414693.501587930623.1511032528224
7246554780.23975882469-155.2530465213194685.01328769663125.239758824691
7348454922.26680265591.208209882364676.5249874626477.2668026550018
7444954522.19581413519-195.2537638661744663.0579497309827.1958141351934
7550205199.1247377737191.2843502269774649.59091199932179.124737773701
7645354436.21043574676-5.533984281261084639.32354853451-98.7895642532449
7747004768.796017710422.147797219886384629.0561850696968.7960177104242
7844354325.27942228277-80.22050406280794624.94108178004-109.720577717228
7942854010.26284354736-61.0888220377434620.82597849038-274.73715645264
8047804773.05083181582160.0751712795514626.87399690463-6.94916818417641
8144504339.96513449818-72.88714981704914632.92201531887-110.03486550182
8248754868.99441627244232.1744446914654648.8311390361-6.00558372756223
8346704781.91242843011-106.6526911834414664.74026275333111.912428430113
8443254119.86718589994-155.2530465213194685.38586062138-205.132814100059
8550005202.7603316282191.208209882364706.03145848943202.76033162821
8646754819.62208191179-195.2537638661744725.63168195438144.622081911789
8749504963.48374435368191.2843502269774745.2319054193413.4837443536844
8847904827.63054973124-5.533984281261084757.9034345500337.6305497312351
8947854797.27723909942.147797219886384770.5749636807112.2772390994014
9045204346.6169363462-80.22050406280794773.60356771661-173.3830636538
9147354754.45665028524-61.0888220377434776.632171752519.4566502852404
9250555187.45331581446160.0751712795514762.47151290599132.45331581446
9346404604.57629575757-72.88714981704914748.31085405948-35.4237042424284
9450455125.79926475713232.1744446914654732.0262905514180.7992647571291
9547104810.91096414011-106.6526911834414715.74172704334100.910964140106
9646504738.3131844871-155.2530465213194716.9398620342288.3131844871032
9749155020.6537930925491.208209882364718.1379970251105.653793092543
9842603978.90567036974-195.2537638661744736.34809349643-281.094329630258
9945054064.15745980526191.2843502269774754.55818996777-440.842540194742
10045754379.66521875731-5.533984281261084775.86876552395-195.334781242693
10147854770.672861699972.147797219886384797.17934108014-14.3271383000292
10246104483.3661013759-80.22050406280794816.85440268691-126.633898624098
10352205664.55935774407-61.0888220377434836.52946429367444.559357744075
10452855549.03552450687160.0751712795514860.88930421358264.03552450687
10548704927.63800568356-72.88714981704914885.2491441334957.6380056835606
10654405755.88161722952232.1744446914654891.94393807902315.88161722952
10746154438.0139591589-106.6526911834414898.63873202454-176.986040841101
10846454546.01736830645-155.2530465213194899.23567821487-98.9826316935478
10948454698.9591657124591.208209882364899.83262440519-146.040834287552
11047804855.55252896083-195.2537638661744899.7012349053475.5525289608349
11150054919.14580436754191.2843502269774899.56984540548-85.8541956324616
11249054917.19722341726-5.533984281261084898.3367608640112.1972234172554
11346304360.748526457592.147797219886384897.10367632253-269.251473542413
11447854754.10274561863-80.22050406280794896.11775844418-30.8972543813688
11551605485.95698147192-61.0888220377434895.13184056583325.956981471916

\begin{tabular}{lllllllll}
\hline
Seasonal Decomposition by Loess - Time Series Components \tabularnewline
t & Observed & Fitted & Seasonal & Trend & Remainder \tabularnewline
1 & 3655 & 3584.29360298981 & 91.20820988236 & 3634.49818712783 & -70.7063970101935 \tabularnewline
2 & 3390 & 3321.4849666084 & -195.253763866174 & 3653.76879725777 & -68.5150333915976 \tabularnewline
3 & 4000 & 4135.67624238531 & 191.284350226977 & 3673.03940738771 & 135.676242385314 \tabularnewline
4 & 3810 & 3931.76302348933 & -5.53398428126108 & 3693.77096079193 & 121.763023489326 \tabularnewline
5 & 3790 & 3863.34968858395 & 2.14779721988638 & 3714.50251419616 & 73.3496885839531 \tabularnewline
6 & 3790 & 3923.12998169475 & -80.2205040628079 & 3737.09052236806 & 133.129981694745 \tabularnewline
7 & 3350 & 3001.41029149778 & -61.088822037743 & 3759.67853053996 & -348.589708502222 \tabularnewline
8 & 3900 & 3858.16334361809 & 160.075171279551 & 3781.76148510236 & -41.836656381915 \tabularnewline
9 & 3725 & 3719.04271015228 & -72.8871498170491 & 3803.84443966476 & -5.9572898477154 \tabularnewline
10 & 3945 & 3832.89186463497 & 232.174444691465 & 3824.93369067356 & -112.108135365027 \tabularnewline
11 & 3840 & 3940.62974950108 & -106.652691183441 & 3846.02294168236 & 100.629749501083 \tabularnewline
12 & 3625 & 3535.08595931592 & -155.253046521319 & 3870.1670872054 & -89.9140406840797 \tabularnewline
13 & 4000 & 4014.4805573892 & 91.20820988236 & 3894.31123272844 & 14.4805573891999 \tabularnewline
14 & 3915 & 4115.25579475803 & -195.253763866174 & 3909.99796910815 & 200.255794758025 \tabularnewline
15 & 4200 & 4283.03094428517 & 191.284350226977 & 3925.68470548786 & 83.0309442851662 \tabularnewline
16 & 3900 & 3876.40297794329 & -5.53398428126108 & 3929.13100633797 & -23.5970220567101 \tabularnewline
17 & 4140 & 4345.27489559203 & 2.14779721988638 & 3932.57730718809 & 205.274895592028 \tabularnewline
18 & 3945 & 4040.49971568579 & -80.2205040628079 & 3929.72078837702 & 95.4997156857917 \tabularnewline
19 & 3735 & 3604.2245524718 & -61.088822037743 & 3926.86426956595 & -130.775447528204 \tabularnewline
20 & 3970 & 3852.87625027315 & 160.075171279551 & 3927.0485784473 & -117.123749726853 \tabularnewline
21 & 3745 & 3635.65426248839 & -72.8871498170491 & 3927.23288732866 & -109.345737511609 \tabularnewline
22 & 4140 & 4107.52637501266 & 232.174444691465 & 3940.29918029588 & -32.4736249873417 \tabularnewline
23 & 3840 & 3833.28721792035 & -106.652691183441 & 3953.3654732631 & -6.71278207965497 \tabularnewline
24 & 3570 & 3318.46875768207 & -155.253046521319 & 3976.78428883925 & -251.531242317935 \tabularnewline
25 & 4085 & 4078.58868570223 & 91.20820988236 & 4000.20310441541 & -6.41131429777306 \tabularnewline
26 & 3865 & 3896.4214997024 & -195.253763866174 & 4028.83226416377 & 31.4214997024014 \tabularnewline
27 & 4280 & 4311.25422586089 & 191.284350226977 & 4057.46142391213 & 31.2542258608905 \tabularnewline
28 & 4280 & 4477.85847057839 & -5.53398428126108 & 4087.67551370287 & 197.858470578386 \tabularnewline
29 & 4240 & 4359.9625992865 & 2.14779721988638 & 4117.88960349362 & 119.962599286497 \tabularnewline
30 & 4065 & 4060.12428493749 & -80.2205040628079 & 4150.09621912532 & -4.8757150625097 \tabularnewline
31 & 4060 & 3998.78598728072 & -61.088822037743 & 4182.30283475702 & -61.2140127192752 \tabularnewline
32 & 4265 & 4160.41651245045 & 160.075171279551 & 4209.50831627 & -104.583487549548 \tabularnewline
33 & 4085 & 4006.17335203407 & -72.8871498170491 & 4236.71379778298 & -78.8266479659278 \tabularnewline
34 & 4450 & 4406.90495164619 & 232.174444691465 & 4260.92060366234 & -43.0950483538081 \tabularnewline
35 & 4195 & 4211.52528164173 & -106.652691183441 & 4285.12740954171 & 16.5252816417315 \tabularnewline
36 & 4160 & 4161.02535778558 & -155.253046521319 & 4314.22768873574 & 1.0253577855774 \tabularnewline
37 & 4580 & 4725.46382218786 & 91.20820988236 & 4343.32796792978 & 145.463822187864 \tabularnewline
38 & 4130 & 4082.62441416383 & -195.253763866174 & 4372.62934970235 & -47.3755858361719 \tabularnewline
39 & 4645 & 4696.78491829811 & 191.284350226977 & 4401.93073147492 & 51.7849182981072 \tabularnewline
40 & 4375 & 4332.25074940761 & -5.53398428126108 & 4423.28323487366 & -42.7492505923947 \tabularnewline
41 & 4480 & 4513.21646450772 & 2.14779721988638 & 4444.63573827239 & 33.2164645077191 \tabularnewline
42 & 4485 & 4592.88585674098 & -80.2205040628079 & 4457.33464732182 & 107.885856740983 \tabularnewline
43 & 4465 & 4521.05526566649 & -61.088822037743 & 4470.03355637125 & 56.0552656664886 \tabularnewline
44 & 4515 & 4392.04279800537 & 160.075171279551 & 4477.88203071508 & -122.957201994633 \tabularnewline
45 & 4465 & 4517.15664475814 & -72.8871498170491 & 4485.73050505891 & 52.1566447581399 \tabularnewline
46 & 4790 & 4853.00398088724 & 232.174444691465 & 4494.8215744213 & 63.0039808872361 \tabularnewline
47 & 4270 & 4142.74004739975 & -106.652691183441 & 4503.91264378369 & -127.25995260025 \tabularnewline
48 & 4495 & 4626.09348572149 & -155.253046521319 & 4519.15956079983 & 131.093485721493 \tabularnewline
49 & 4490 & 4354.38531230168 & 91.20820988236 & 4534.40647781596 & -135.614687698322 \tabularnewline
50 & 4275 & 4188.71361521349 & -195.253763866174 & 4556.54014865268 & -86.2863847865092 \tabularnewline
51 & 4695 & 4620.04183028362 & 191.284350226977 & 4578.6738194894 & -74.9581697163803 \tabularnewline
52 & 4630 & 4661.05075402594 & -5.53398428126108 & 4604.48323025532 & 31.0507540259359 \tabularnewline
53 & 4560 & 4487.55956175887 & 2.14779721988638 & 4630.29264102125 & -72.4404382411331 \tabularnewline
54 & 4665 & 4751.93326030589 & -80.2205040628079 & 4658.28724375692 & 86.933260305892 \tabularnewline
55 & 4725 & 4824.80697554516 & -61.088822037743 & 4686.28184649258 & 99.8069755451579 \tabularnewline
56 & 4840 & 4809.09344817573 & 160.075171279551 & 4710.83138054472 & -30.9065518242669 \tabularnewline
57 & 4745 & 4827.5062352202 & -72.8871498170491 & 4735.38091459685 & 82.5062352202012 \tabularnewline
58 & 4940 & 4900.95959364404 & 232.174444691465 & 4746.86596166449 & -39.0404063559563 \tabularnewline
59 & 4635 & 4618.30168245131 & -106.652691183441 & 4758.35100873214 & -16.6983175486948 \tabularnewline
60 & 4910 & 5218.67334637649 & -155.253046521319 & 4756.57970014483 & 308.673346376491 \tabularnewline
61 & 4690 & 4533.98339856012 & 91.20820988236 & 4754.80839155752 & -156.016601439881 \tabularnewline
62 & 4585 & 4617.86005750183 & -195.253763866174 & 4747.39370636434 & 32.860057501829 \tabularnewline
63 & 5065 & 5198.73662860185 & 191.284350226977 & 4739.97902117117 & 133.736628601854 \tabularnewline
64 & 4705 & 4685.72193308976 & -5.53398428126108 & 4729.8120511915 & -19.2780669102376 \tabularnewline
65 & 4580 & 4438.20712156829 & 2.14779721988638 & 4719.64508121183 & -141.792878431714 \tabularnewline
66 & 4660 & 4688.87620046129 & -80.2205040628079 & 4711.34430360152 & 28.8762004612863 \tabularnewline
67 & 4510 & 4378.04529604653 & -61.088822037743 & 4703.04352599122 & -131.954703953473 \tabularnewline
68 & 4885 & 4909.48958075181 & 160.075171279551 & 4700.43524796864 & 24.4895807518069 \tabularnewline
69 & 4765 & 4905.06017987098 & -72.8871498170491 & 4697.82696994607 & 140.060179870979 \tabularnewline
70 & 4700 & 4472.16127637019 & 232.174444691465 & 4695.66427893834 & -227.838723629809 \tabularnewline
71 & 4590 & 4593.15110325282 & -106.652691183441 & 4693.50158793062 & 3.1511032528224 \tabularnewline
72 & 4655 & 4780.23975882469 & -155.253046521319 & 4685.01328769663 & 125.239758824691 \tabularnewline
73 & 4845 & 4922.266802655 & 91.20820988236 & 4676.52498746264 & 77.2668026550018 \tabularnewline
74 & 4495 & 4522.19581413519 & -195.253763866174 & 4663.05794973098 & 27.1958141351934 \tabularnewline
75 & 5020 & 5199.1247377737 & 191.284350226977 & 4649.59091199932 & 179.124737773701 \tabularnewline
76 & 4535 & 4436.21043574676 & -5.53398428126108 & 4639.32354853451 & -98.7895642532449 \tabularnewline
77 & 4700 & 4768.79601771042 & 2.14779721988638 & 4629.05618506969 & 68.7960177104242 \tabularnewline
78 & 4435 & 4325.27942228277 & -80.2205040628079 & 4624.94108178004 & -109.720577717228 \tabularnewline
79 & 4285 & 4010.26284354736 & -61.088822037743 & 4620.82597849038 & -274.73715645264 \tabularnewline
80 & 4780 & 4773.05083181582 & 160.075171279551 & 4626.87399690463 & -6.94916818417641 \tabularnewline
81 & 4450 & 4339.96513449818 & -72.8871498170491 & 4632.92201531887 & -110.03486550182 \tabularnewline
82 & 4875 & 4868.99441627244 & 232.174444691465 & 4648.8311390361 & -6.00558372756223 \tabularnewline
83 & 4670 & 4781.91242843011 & -106.652691183441 & 4664.74026275333 & 111.912428430113 \tabularnewline
84 & 4325 & 4119.86718589994 & -155.253046521319 & 4685.38586062138 & -205.132814100059 \tabularnewline
85 & 5000 & 5202.76033162821 & 91.20820988236 & 4706.03145848943 & 202.76033162821 \tabularnewline
86 & 4675 & 4819.62208191179 & -195.253763866174 & 4725.63168195438 & 144.622081911789 \tabularnewline
87 & 4950 & 4963.48374435368 & 191.284350226977 & 4745.23190541934 & 13.4837443536844 \tabularnewline
88 & 4790 & 4827.63054973124 & -5.53398428126108 & 4757.90343455003 & 37.6305497312351 \tabularnewline
89 & 4785 & 4797.2772390994 & 2.14779721988638 & 4770.57496368071 & 12.2772390994014 \tabularnewline
90 & 4520 & 4346.6169363462 & -80.2205040628079 & 4773.60356771661 & -173.3830636538 \tabularnewline
91 & 4735 & 4754.45665028524 & -61.088822037743 & 4776.6321717525 & 19.4566502852404 \tabularnewline
92 & 5055 & 5187.45331581446 & 160.075171279551 & 4762.47151290599 & 132.45331581446 \tabularnewline
93 & 4640 & 4604.57629575757 & -72.8871498170491 & 4748.31085405948 & -35.4237042424284 \tabularnewline
94 & 5045 & 5125.79926475713 & 232.174444691465 & 4732.02629055141 & 80.7992647571291 \tabularnewline
95 & 4710 & 4810.91096414011 & -106.652691183441 & 4715.74172704334 & 100.910964140106 \tabularnewline
96 & 4650 & 4738.3131844871 & -155.253046521319 & 4716.93986203422 & 88.3131844871032 \tabularnewline
97 & 4915 & 5020.65379309254 & 91.20820988236 & 4718.1379970251 & 105.653793092543 \tabularnewline
98 & 4260 & 3978.90567036974 & -195.253763866174 & 4736.34809349643 & -281.094329630258 \tabularnewline
99 & 4505 & 4064.15745980526 & 191.284350226977 & 4754.55818996777 & -440.842540194742 \tabularnewline
100 & 4575 & 4379.66521875731 & -5.53398428126108 & 4775.86876552395 & -195.334781242693 \tabularnewline
101 & 4785 & 4770.67286169997 & 2.14779721988638 & 4797.17934108014 & -14.3271383000292 \tabularnewline
102 & 4610 & 4483.3661013759 & -80.2205040628079 & 4816.85440268691 & -126.633898624098 \tabularnewline
103 & 5220 & 5664.55935774407 & -61.088822037743 & 4836.52946429367 & 444.559357744075 \tabularnewline
104 & 5285 & 5549.03552450687 & 160.075171279551 & 4860.88930421358 & 264.03552450687 \tabularnewline
105 & 4870 & 4927.63800568356 & -72.8871498170491 & 4885.24914413349 & 57.6380056835606 \tabularnewline
106 & 5440 & 5755.88161722952 & 232.174444691465 & 4891.94393807902 & 315.88161722952 \tabularnewline
107 & 4615 & 4438.0139591589 & -106.652691183441 & 4898.63873202454 & -176.986040841101 \tabularnewline
108 & 4645 & 4546.01736830645 & -155.253046521319 & 4899.23567821487 & -98.9826316935478 \tabularnewline
109 & 4845 & 4698.95916571245 & 91.20820988236 & 4899.83262440519 & -146.040834287552 \tabularnewline
110 & 4780 & 4855.55252896083 & -195.253763866174 & 4899.70123490534 & 75.5525289608349 \tabularnewline
111 & 5005 & 4919.14580436754 & 191.284350226977 & 4899.56984540548 & -85.8541956324616 \tabularnewline
112 & 4905 & 4917.19722341726 & -5.53398428126108 & 4898.33676086401 & 12.1972234172554 \tabularnewline
113 & 4630 & 4360.74852645759 & 2.14779721988638 & 4897.10367632253 & -269.251473542413 \tabularnewline
114 & 4785 & 4754.10274561863 & -80.2205040628079 & 4896.11775844418 & -30.8972543813688 \tabularnewline
115 & 5160 & 5485.95698147192 & -61.088822037743 & 4895.13184056583 & 325.956981471916 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298551&T=2

[TABLE]
[ROW][C]Seasonal Decomposition by Loess - Time Series Components[/C][/ROW]
[ROW][C]t[/C][C]Observed[/C][C]Fitted[/C][C]Seasonal[/C][C]Trend[/C][C]Remainder[/C][/ROW]
[ROW][C]1[/C][C]3655[/C][C]3584.29360298981[/C][C]91.20820988236[/C][C]3634.49818712783[/C][C]-70.7063970101935[/C][/ROW]
[ROW][C]2[/C][C]3390[/C][C]3321.4849666084[/C][C]-195.253763866174[/C][C]3653.76879725777[/C][C]-68.5150333915976[/C][/ROW]
[ROW][C]3[/C][C]4000[/C][C]4135.67624238531[/C][C]191.284350226977[/C][C]3673.03940738771[/C][C]135.676242385314[/C][/ROW]
[ROW][C]4[/C][C]3810[/C][C]3931.76302348933[/C][C]-5.53398428126108[/C][C]3693.77096079193[/C][C]121.763023489326[/C][/ROW]
[ROW][C]5[/C][C]3790[/C][C]3863.34968858395[/C][C]2.14779721988638[/C][C]3714.50251419616[/C][C]73.3496885839531[/C][/ROW]
[ROW][C]6[/C][C]3790[/C][C]3923.12998169475[/C][C]-80.2205040628079[/C][C]3737.09052236806[/C][C]133.129981694745[/C][/ROW]
[ROW][C]7[/C][C]3350[/C][C]3001.41029149778[/C][C]-61.088822037743[/C][C]3759.67853053996[/C][C]-348.589708502222[/C][/ROW]
[ROW][C]8[/C][C]3900[/C][C]3858.16334361809[/C][C]160.075171279551[/C][C]3781.76148510236[/C][C]-41.836656381915[/C][/ROW]
[ROW][C]9[/C][C]3725[/C][C]3719.04271015228[/C][C]-72.8871498170491[/C][C]3803.84443966476[/C][C]-5.9572898477154[/C][/ROW]
[ROW][C]10[/C][C]3945[/C][C]3832.89186463497[/C][C]232.174444691465[/C][C]3824.93369067356[/C][C]-112.108135365027[/C][/ROW]
[ROW][C]11[/C][C]3840[/C][C]3940.62974950108[/C][C]-106.652691183441[/C][C]3846.02294168236[/C][C]100.629749501083[/C][/ROW]
[ROW][C]12[/C][C]3625[/C][C]3535.08595931592[/C][C]-155.253046521319[/C][C]3870.1670872054[/C][C]-89.9140406840797[/C][/ROW]
[ROW][C]13[/C][C]4000[/C][C]4014.4805573892[/C][C]91.20820988236[/C][C]3894.31123272844[/C][C]14.4805573891999[/C][/ROW]
[ROW][C]14[/C][C]3915[/C][C]4115.25579475803[/C][C]-195.253763866174[/C][C]3909.99796910815[/C][C]200.255794758025[/C][/ROW]
[ROW][C]15[/C][C]4200[/C][C]4283.03094428517[/C][C]191.284350226977[/C][C]3925.68470548786[/C][C]83.0309442851662[/C][/ROW]
[ROW][C]16[/C][C]3900[/C][C]3876.40297794329[/C][C]-5.53398428126108[/C][C]3929.13100633797[/C][C]-23.5970220567101[/C][/ROW]
[ROW][C]17[/C][C]4140[/C][C]4345.27489559203[/C][C]2.14779721988638[/C][C]3932.57730718809[/C][C]205.274895592028[/C][/ROW]
[ROW][C]18[/C][C]3945[/C][C]4040.49971568579[/C][C]-80.2205040628079[/C][C]3929.72078837702[/C][C]95.4997156857917[/C][/ROW]
[ROW][C]19[/C][C]3735[/C][C]3604.2245524718[/C][C]-61.088822037743[/C][C]3926.86426956595[/C][C]-130.775447528204[/C][/ROW]
[ROW][C]20[/C][C]3970[/C][C]3852.87625027315[/C][C]160.075171279551[/C][C]3927.0485784473[/C][C]-117.123749726853[/C][/ROW]
[ROW][C]21[/C][C]3745[/C][C]3635.65426248839[/C][C]-72.8871498170491[/C][C]3927.23288732866[/C][C]-109.345737511609[/C][/ROW]
[ROW][C]22[/C][C]4140[/C][C]4107.52637501266[/C][C]232.174444691465[/C][C]3940.29918029588[/C][C]-32.4736249873417[/C][/ROW]
[ROW][C]23[/C][C]3840[/C][C]3833.28721792035[/C][C]-106.652691183441[/C][C]3953.3654732631[/C][C]-6.71278207965497[/C][/ROW]
[ROW][C]24[/C][C]3570[/C][C]3318.46875768207[/C][C]-155.253046521319[/C][C]3976.78428883925[/C][C]-251.531242317935[/C][/ROW]
[ROW][C]25[/C][C]4085[/C][C]4078.58868570223[/C][C]91.20820988236[/C][C]4000.20310441541[/C][C]-6.41131429777306[/C][/ROW]
[ROW][C]26[/C][C]3865[/C][C]3896.4214997024[/C][C]-195.253763866174[/C][C]4028.83226416377[/C][C]31.4214997024014[/C][/ROW]
[ROW][C]27[/C][C]4280[/C][C]4311.25422586089[/C][C]191.284350226977[/C][C]4057.46142391213[/C][C]31.2542258608905[/C][/ROW]
[ROW][C]28[/C][C]4280[/C][C]4477.85847057839[/C][C]-5.53398428126108[/C][C]4087.67551370287[/C][C]197.858470578386[/C][/ROW]
[ROW][C]29[/C][C]4240[/C][C]4359.9625992865[/C][C]2.14779721988638[/C][C]4117.88960349362[/C][C]119.962599286497[/C][/ROW]
[ROW][C]30[/C][C]4065[/C][C]4060.12428493749[/C][C]-80.2205040628079[/C][C]4150.09621912532[/C][C]-4.8757150625097[/C][/ROW]
[ROW][C]31[/C][C]4060[/C][C]3998.78598728072[/C][C]-61.088822037743[/C][C]4182.30283475702[/C][C]-61.2140127192752[/C][/ROW]
[ROW][C]32[/C][C]4265[/C][C]4160.41651245045[/C][C]160.075171279551[/C][C]4209.50831627[/C][C]-104.583487549548[/C][/ROW]
[ROW][C]33[/C][C]4085[/C][C]4006.17335203407[/C][C]-72.8871498170491[/C][C]4236.71379778298[/C][C]-78.8266479659278[/C][/ROW]
[ROW][C]34[/C][C]4450[/C][C]4406.90495164619[/C][C]232.174444691465[/C][C]4260.92060366234[/C][C]-43.0950483538081[/C][/ROW]
[ROW][C]35[/C][C]4195[/C][C]4211.52528164173[/C][C]-106.652691183441[/C][C]4285.12740954171[/C][C]16.5252816417315[/C][/ROW]
[ROW][C]36[/C][C]4160[/C][C]4161.02535778558[/C][C]-155.253046521319[/C][C]4314.22768873574[/C][C]1.0253577855774[/C][/ROW]
[ROW][C]37[/C][C]4580[/C][C]4725.46382218786[/C][C]91.20820988236[/C][C]4343.32796792978[/C][C]145.463822187864[/C][/ROW]
[ROW][C]38[/C][C]4130[/C][C]4082.62441416383[/C][C]-195.253763866174[/C][C]4372.62934970235[/C][C]-47.3755858361719[/C][/ROW]
[ROW][C]39[/C][C]4645[/C][C]4696.78491829811[/C][C]191.284350226977[/C][C]4401.93073147492[/C][C]51.7849182981072[/C][/ROW]
[ROW][C]40[/C][C]4375[/C][C]4332.25074940761[/C][C]-5.53398428126108[/C][C]4423.28323487366[/C][C]-42.7492505923947[/C][/ROW]
[ROW][C]41[/C][C]4480[/C][C]4513.21646450772[/C][C]2.14779721988638[/C][C]4444.63573827239[/C][C]33.2164645077191[/C][/ROW]
[ROW][C]42[/C][C]4485[/C][C]4592.88585674098[/C][C]-80.2205040628079[/C][C]4457.33464732182[/C][C]107.885856740983[/C][/ROW]
[ROW][C]43[/C][C]4465[/C][C]4521.05526566649[/C][C]-61.088822037743[/C][C]4470.03355637125[/C][C]56.0552656664886[/C][/ROW]
[ROW][C]44[/C][C]4515[/C][C]4392.04279800537[/C][C]160.075171279551[/C][C]4477.88203071508[/C][C]-122.957201994633[/C][/ROW]
[ROW][C]45[/C][C]4465[/C][C]4517.15664475814[/C][C]-72.8871498170491[/C][C]4485.73050505891[/C][C]52.1566447581399[/C][/ROW]
[ROW][C]46[/C][C]4790[/C][C]4853.00398088724[/C][C]232.174444691465[/C][C]4494.8215744213[/C][C]63.0039808872361[/C][/ROW]
[ROW][C]47[/C][C]4270[/C][C]4142.74004739975[/C][C]-106.652691183441[/C][C]4503.91264378369[/C][C]-127.25995260025[/C][/ROW]
[ROW][C]48[/C][C]4495[/C][C]4626.09348572149[/C][C]-155.253046521319[/C][C]4519.15956079983[/C][C]131.093485721493[/C][/ROW]
[ROW][C]49[/C][C]4490[/C][C]4354.38531230168[/C][C]91.20820988236[/C][C]4534.40647781596[/C][C]-135.614687698322[/C][/ROW]
[ROW][C]50[/C][C]4275[/C][C]4188.71361521349[/C][C]-195.253763866174[/C][C]4556.54014865268[/C][C]-86.2863847865092[/C][/ROW]
[ROW][C]51[/C][C]4695[/C][C]4620.04183028362[/C][C]191.284350226977[/C][C]4578.6738194894[/C][C]-74.9581697163803[/C][/ROW]
[ROW][C]52[/C][C]4630[/C][C]4661.05075402594[/C][C]-5.53398428126108[/C][C]4604.48323025532[/C][C]31.0507540259359[/C][/ROW]
[ROW][C]53[/C][C]4560[/C][C]4487.55956175887[/C][C]2.14779721988638[/C][C]4630.29264102125[/C][C]-72.4404382411331[/C][/ROW]
[ROW][C]54[/C][C]4665[/C][C]4751.93326030589[/C][C]-80.2205040628079[/C][C]4658.28724375692[/C][C]86.933260305892[/C][/ROW]
[ROW][C]55[/C][C]4725[/C][C]4824.80697554516[/C][C]-61.088822037743[/C][C]4686.28184649258[/C][C]99.8069755451579[/C][/ROW]
[ROW][C]56[/C][C]4840[/C][C]4809.09344817573[/C][C]160.075171279551[/C][C]4710.83138054472[/C][C]-30.9065518242669[/C][/ROW]
[ROW][C]57[/C][C]4745[/C][C]4827.5062352202[/C][C]-72.8871498170491[/C][C]4735.38091459685[/C][C]82.5062352202012[/C][/ROW]
[ROW][C]58[/C][C]4940[/C][C]4900.95959364404[/C][C]232.174444691465[/C][C]4746.86596166449[/C][C]-39.0404063559563[/C][/ROW]
[ROW][C]59[/C][C]4635[/C][C]4618.30168245131[/C][C]-106.652691183441[/C][C]4758.35100873214[/C][C]-16.6983175486948[/C][/ROW]
[ROW][C]60[/C][C]4910[/C][C]5218.67334637649[/C][C]-155.253046521319[/C][C]4756.57970014483[/C][C]308.673346376491[/C][/ROW]
[ROW][C]61[/C][C]4690[/C][C]4533.98339856012[/C][C]91.20820988236[/C][C]4754.80839155752[/C][C]-156.016601439881[/C][/ROW]
[ROW][C]62[/C][C]4585[/C][C]4617.86005750183[/C][C]-195.253763866174[/C][C]4747.39370636434[/C][C]32.860057501829[/C][/ROW]
[ROW][C]63[/C][C]5065[/C][C]5198.73662860185[/C][C]191.284350226977[/C][C]4739.97902117117[/C][C]133.736628601854[/C][/ROW]
[ROW][C]64[/C][C]4705[/C][C]4685.72193308976[/C][C]-5.53398428126108[/C][C]4729.8120511915[/C][C]-19.2780669102376[/C][/ROW]
[ROW][C]65[/C][C]4580[/C][C]4438.20712156829[/C][C]2.14779721988638[/C][C]4719.64508121183[/C][C]-141.792878431714[/C][/ROW]
[ROW][C]66[/C][C]4660[/C][C]4688.87620046129[/C][C]-80.2205040628079[/C][C]4711.34430360152[/C][C]28.8762004612863[/C][/ROW]
[ROW][C]67[/C][C]4510[/C][C]4378.04529604653[/C][C]-61.088822037743[/C][C]4703.04352599122[/C][C]-131.954703953473[/C][/ROW]
[ROW][C]68[/C][C]4885[/C][C]4909.48958075181[/C][C]160.075171279551[/C][C]4700.43524796864[/C][C]24.4895807518069[/C][/ROW]
[ROW][C]69[/C][C]4765[/C][C]4905.06017987098[/C][C]-72.8871498170491[/C][C]4697.82696994607[/C][C]140.060179870979[/C][/ROW]
[ROW][C]70[/C][C]4700[/C][C]4472.16127637019[/C][C]232.174444691465[/C][C]4695.66427893834[/C][C]-227.838723629809[/C][/ROW]
[ROW][C]71[/C][C]4590[/C][C]4593.15110325282[/C][C]-106.652691183441[/C][C]4693.50158793062[/C][C]3.1511032528224[/C][/ROW]
[ROW][C]72[/C][C]4655[/C][C]4780.23975882469[/C][C]-155.253046521319[/C][C]4685.01328769663[/C][C]125.239758824691[/C][/ROW]
[ROW][C]73[/C][C]4845[/C][C]4922.266802655[/C][C]91.20820988236[/C][C]4676.52498746264[/C][C]77.2668026550018[/C][/ROW]
[ROW][C]74[/C][C]4495[/C][C]4522.19581413519[/C][C]-195.253763866174[/C][C]4663.05794973098[/C][C]27.1958141351934[/C][/ROW]
[ROW][C]75[/C][C]5020[/C][C]5199.1247377737[/C][C]191.284350226977[/C][C]4649.59091199932[/C][C]179.124737773701[/C][/ROW]
[ROW][C]76[/C][C]4535[/C][C]4436.21043574676[/C][C]-5.53398428126108[/C][C]4639.32354853451[/C][C]-98.7895642532449[/C][/ROW]
[ROW][C]77[/C][C]4700[/C][C]4768.79601771042[/C][C]2.14779721988638[/C][C]4629.05618506969[/C][C]68.7960177104242[/C][/ROW]
[ROW][C]78[/C][C]4435[/C][C]4325.27942228277[/C][C]-80.2205040628079[/C][C]4624.94108178004[/C][C]-109.720577717228[/C][/ROW]
[ROW][C]79[/C][C]4285[/C][C]4010.26284354736[/C][C]-61.088822037743[/C][C]4620.82597849038[/C][C]-274.73715645264[/C][/ROW]
[ROW][C]80[/C][C]4780[/C][C]4773.05083181582[/C][C]160.075171279551[/C][C]4626.87399690463[/C][C]-6.94916818417641[/C][/ROW]
[ROW][C]81[/C][C]4450[/C][C]4339.96513449818[/C][C]-72.8871498170491[/C][C]4632.92201531887[/C][C]-110.03486550182[/C][/ROW]
[ROW][C]82[/C][C]4875[/C][C]4868.99441627244[/C][C]232.174444691465[/C][C]4648.8311390361[/C][C]-6.00558372756223[/C][/ROW]
[ROW][C]83[/C][C]4670[/C][C]4781.91242843011[/C][C]-106.652691183441[/C][C]4664.74026275333[/C][C]111.912428430113[/C][/ROW]
[ROW][C]84[/C][C]4325[/C][C]4119.86718589994[/C][C]-155.253046521319[/C][C]4685.38586062138[/C][C]-205.132814100059[/C][/ROW]
[ROW][C]85[/C][C]5000[/C][C]5202.76033162821[/C][C]91.20820988236[/C][C]4706.03145848943[/C][C]202.76033162821[/C][/ROW]
[ROW][C]86[/C][C]4675[/C][C]4819.62208191179[/C][C]-195.253763866174[/C][C]4725.63168195438[/C][C]144.622081911789[/C][/ROW]
[ROW][C]87[/C][C]4950[/C][C]4963.48374435368[/C][C]191.284350226977[/C][C]4745.23190541934[/C][C]13.4837443536844[/C][/ROW]
[ROW][C]88[/C][C]4790[/C][C]4827.63054973124[/C][C]-5.53398428126108[/C][C]4757.90343455003[/C][C]37.6305497312351[/C][/ROW]
[ROW][C]89[/C][C]4785[/C][C]4797.2772390994[/C][C]2.14779721988638[/C][C]4770.57496368071[/C][C]12.2772390994014[/C][/ROW]
[ROW][C]90[/C][C]4520[/C][C]4346.6169363462[/C][C]-80.2205040628079[/C][C]4773.60356771661[/C][C]-173.3830636538[/C][/ROW]
[ROW][C]91[/C][C]4735[/C][C]4754.45665028524[/C][C]-61.088822037743[/C][C]4776.6321717525[/C][C]19.4566502852404[/C][/ROW]
[ROW][C]92[/C][C]5055[/C][C]5187.45331581446[/C][C]160.075171279551[/C][C]4762.47151290599[/C][C]132.45331581446[/C][/ROW]
[ROW][C]93[/C][C]4640[/C][C]4604.57629575757[/C][C]-72.8871498170491[/C][C]4748.31085405948[/C][C]-35.4237042424284[/C][/ROW]
[ROW][C]94[/C][C]5045[/C][C]5125.79926475713[/C][C]232.174444691465[/C][C]4732.02629055141[/C][C]80.7992647571291[/C][/ROW]
[ROW][C]95[/C][C]4710[/C][C]4810.91096414011[/C][C]-106.652691183441[/C][C]4715.74172704334[/C][C]100.910964140106[/C][/ROW]
[ROW][C]96[/C][C]4650[/C][C]4738.3131844871[/C][C]-155.253046521319[/C][C]4716.93986203422[/C][C]88.3131844871032[/C][/ROW]
[ROW][C]97[/C][C]4915[/C][C]5020.65379309254[/C][C]91.20820988236[/C][C]4718.1379970251[/C][C]105.653793092543[/C][/ROW]
[ROW][C]98[/C][C]4260[/C][C]3978.90567036974[/C][C]-195.253763866174[/C][C]4736.34809349643[/C][C]-281.094329630258[/C][/ROW]
[ROW][C]99[/C][C]4505[/C][C]4064.15745980526[/C][C]191.284350226977[/C][C]4754.55818996777[/C][C]-440.842540194742[/C][/ROW]
[ROW][C]100[/C][C]4575[/C][C]4379.66521875731[/C][C]-5.53398428126108[/C][C]4775.86876552395[/C][C]-195.334781242693[/C][/ROW]
[ROW][C]101[/C][C]4785[/C][C]4770.67286169997[/C][C]2.14779721988638[/C][C]4797.17934108014[/C][C]-14.3271383000292[/C][/ROW]
[ROW][C]102[/C][C]4610[/C][C]4483.3661013759[/C][C]-80.2205040628079[/C][C]4816.85440268691[/C][C]-126.633898624098[/C][/ROW]
[ROW][C]103[/C][C]5220[/C][C]5664.55935774407[/C][C]-61.088822037743[/C][C]4836.52946429367[/C][C]444.559357744075[/C][/ROW]
[ROW][C]104[/C][C]5285[/C][C]5549.03552450687[/C][C]160.075171279551[/C][C]4860.88930421358[/C][C]264.03552450687[/C][/ROW]
[ROW][C]105[/C][C]4870[/C][C]4927.63800568356[/C][C]-72.8871498170491[/C][C]4885.24914413349[/C][C]57.6380056835606[/C][/ROW]
[ROW][C]106[/C][C]5440[/C][C]5755.88161722952[/C][C]232.174444691465[/C][C]4891.94393807902[/C][C]315.88161722952[/C][/ROW]
[ROW][C]107[/C][C]4615[/C][C]4438.0139591589[/C][C]-106.652691183441[/C][C]4898.63873202454[/C][C]-176.986040841101[/C][/ROW]
[ROW][C]108[/C][C]4645[/C][C]4546.01736830645[/C][C]-155.253046521319[/C][C]4899.23567821487[/C][C]-98.9826316935478[/C][/ROW]
[ROW][C]109[/C][C]4845[/C][C]4698.95916571245[/C][C]91.20820988236[/C][C]4899.83262440519[/C][C]-146.040834287552[/C][/ROW]
[ROW][C]110[/C][C]4780[/C][C]4855.55252896083[/C][C]-195.253763866174[/C][C]4899.70123490534[/C][C]75.5525289608349[/C][/ROW]
[ROW][C]111[/C][C]5005[/C][C]4919.14580436754[/C][C]191.284350226977[/C][C]4899.56984540548[/C][C]-85.8541956324616[/C][/ROW]
[ROW][C]112[/C][C]4905[/C][C]4917.19722341726[/C][C]-5.53398428126108[/C][C]4898.33676086401[/C][C]12.1972234172554[/C][/ROW]
[ROW][C]113[/C][C]4630[/C][C]4360.74852645759[/C][C]2.14779721988638[/C][C]4897.10367632253[/C][C]-269.251473542413[/C][/ROW]
[ROW][C]114[/C][C]4785[/C][C]4754.10274561863[/C][C]-80.2205040628079[/C][C]4896.11775844418[/C][C]-30.8972543813688[/C][/ROW]
[ROW][C]115[/C][C]5160[/C][C]5485.95698147192[/C][C]-61.088822037743[/C][C]4895.13184056583[/C][C]325.956981471916[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=298551&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298551&T=2

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Seasonal Decomposition by Loess - Time Series Components
tObservedFittedSeasonalTrendRemainder
136553584.2936029898191.208209882363634.49818712783-70.7063970101935
233903321.4849666084-195.2537638661743653.76879725777-68.5150333915976
340004135.67624238531191.2843502269773673.03940738771135.676242385314
438103931.76302348933-5.533984281261083693.77096079193121.763023489326
537903863.349688583952.147797219886383714.5025141961673.3496885839531
637903923.12998169475-80.22050406280793737.09052236806133.129981694745
733503001.41029149778-61.0888220377433759.67853053996-348.589708502222
839003858.16334361809160.0751712795513781.76148510236-41.836656381915
937253719.04271015228-72.88714981704913803.84443966476-5.9572898477154
1039453832.89186463497232.1744446914653824.93369067356-112.108135365027
1138403940.62974950108-106.6526911834413846.02294168236100.629749501083
1236253535.08595931592-155.2530465213193870.1670872054-89.9140406840797
1340004014.480557389291.208209882363894.3112327284414.4805573891999
1439154115.25579475803-195.2537638661743909.99796910815200.255794758025
1542004283.03094428517191.2843502269773925.6847054878683.0309442851662
1639003876.40297794329-5.533984281261083929.13100633797-23.5970220567101
1741404345.274895592032.147797219886383932.57730718809205.274895592028
1839454040.49971568579-80.22050406280793929.7207883770295.4997156857917
1937353604.2245524718-61.0888220377433926.86426956595-130.775447528204
2039703852.87625027315160.0751712795513927.0485784473-117.123749726853
2137453635.65426248839-72.88714981704913927.23288732866-109.345737511609
2241404107.52637501266232.1744446914653940.29918029588-32.4736249873417
2338403833.28721792035-106.6526911834413953.3654732631-6.71278207965497
2435703318.46875768207-155.2530465213193976.78428883925-251.531242317935
2540854078.5886857022391.208209882364000.20310441541-6.41131429777306
2638653896.4214997024-195.2537638661744028.8322641637731.4214997024014
2742804311.25422586089191.2843502269774057.4614239121331.2542258608905
2842804477.85847057839-5.533984281261084087.67551370287197.858470578386
2942404359.96259928652.147797219886384117.88960349362119.962599286497
3040654060.12428493749-80.22050406280794150.09621912532-4.8757150625097
3140603998.78598728072-61.0888220377434182.30283475702-61.2140127192752
3242654160.41651245045160.0751712795514209.50831627-104.583487549548
3340854006.17335203407-72.88714981704914236.71379778298-78.8266479659278
3444504406.90495164619232.1744446914654260.92060366234-43.0950483538081
3541954211.52528164173-106.6526911834414285.1274095417116.5252816417315
3641604161.02535778558-155.2530465213194314.227688735741.0253577855774
3745804725.4638221878691.208209882364343.32796792978145.463822187864
3841304082.62441416383-195.2537638661744372.62934970235-47.3755858361719
3946454696.78491829811191.2843502269774401.9307314749251.7849182981072
4043754332.25074940761-5.533984281261084423.28323487366-42.7492505923947
4144804513.216464507722.147797219886384444.6357382723933.2164645077191
4244854592.88585674098-80.22050406280794457.33464732182107.885856740983
4344654521.05526566649-61.0888220377434470.0335563712556.0552656664886
4445154392.04279800537160.0751712795514477.88203071508-122.957201994633
4544654517.15664475814-72.88714981704914485.7305050589152.1566447581399
4647904853.00398088724232.1744446914654494.821574421363.0039808872361
4742704142.74004739975-106.6526911834414503.91264378369-127.25995260025
4844954626.09348572149-155.2530465213194519.15956079983131.093485721493
4944904354.3853123016891.208209882364534.40647781596-135.614687698322
5042754188.71361521349-195.2537638661744556.54014865268-86.2863847865092
5146954620.04183028362191.2843502269774578.6738194894-74.9581697163803
5246304661.05075402594-5.533984281261084604.4832302553231.0507540259359
5345604487.559561758872.147797219886384630.29264102125-72.4404382411331
5446654751.93326030589-80.22050406280794658.2872437569286.933260305892
5547254824.80697554516-61.0888220377434686.2818464925899.8069755451579
5648404809.09344817573160.0751712795514710.83138054472-30.9065518242669
5747454827.5062352202-72.88714981704914735.3809145968582.5062352202012
5849404900.95959364404232.1744446914654746.86596166449-39.0404063559563
5946354618.30168245131-106.6526911834414758.35100873214-16.6983175486948
6049105218.67334637649-155.2530465213194756.57970014483308.673346376491
6146904533.9833985601291.208209882364754.80839155752-156.016601439881
6245854617.86005750183-195.2537638661744747.3937063643432.860057501829
6350655198.73662860185191.2843502269774739.97902117117133.736628601854
6447054685.72193308976-5.533984281261084729.8120511915-19.2780669102376
6545804438.207121568292.147797219886384719.64508121183-141.792878431714
6646604688.87620046129-80.22050406280794711.3443036015228.8762004612863
6745104378.04529604653-61.0888220377434703.04352599122-131.954703953473
6848854909.48958075181160.0751712795514700.4352479686424.4895807518069
6947654905.06017987098-72.88714981704914697.82696994607140.060179870979
7047004472.16127637019232.1744446914654695.66427893834-227.838723629809
7145904593.15110325282-106.6526911834414693.501587930623.1511032528224
7246554780.23975882469-155.2530465213194685.01328769663125.239758824691
7348454922.26680265591.208209882364676.5249874626477.2668026550018
7444954522.19581413519-195.2537638661744663.0579497309827.1958141351934
7550205199.1247377737191.2843502269774649.59091199932179.124737773701
7645354436.21043574676-5.533984281261084639.32354853451-98.7895642532449
7747004768.796017710422.147797219886384629.0561850696968.7960177104242
7844354325.27942228277-80.22050406280794624.94108178004-109.720577717228
7942854010.26284354736-61.0888220377434620.82597849038-274.73715645264
8047804773.05083181582160.0751712795514626.87399690463-6.94916818417641
8144504339.96513449818-72.88714981704914632.92201531887-110.03486550182
8248754868.99441627244232.1744446914654648.8311390361-6.00558372756223
8346704781.91242843011-106.6526911834414664.74026275333111.912428430113
8443254119.86718589994-155.2530465213194685.38586062138-205.132814100059
8550005202.7603316282191.208209882364706.03145848943202.76033162821
8646754819.62208191179-195.2537638661744725.63168195438144.622081911789
8749504963.48374435368191.2843502269774745.2319054193413.4837443536844
8847904827.63054973124-5.533984281261084757.9034345500337.6305497312351
8947854797.27723909942.147797219886384770.5749636807112.2772390994014
9045204346.6169363462-80.22050406280794773.60356771661-173.3830636538
9147354754.45665028524-61.0888220377434776.632171752519.4566502852404
9250555187.45331581446160.0751712795514762.47151290599132.45331581446
9346404604.57629575757-72.88714981704914748.31085405948-35.4237042424284
9450455125.79926475713232.1744446914654732.0262905514180.7992647571291
9547104810.91096414011-106.6526911834414715.74172704334100.910964140106
9646504738.3131844871-155.2530465213194716.9398620342288.3131844871032
9749155020.6537930925491.208209882364718.1379970251105.653793092543
9842603978.90567036974-195.2537638661744736.34809349643-281.094329630258
9945054064.15745980526191.2843502269774754.55818996777-440.842540194742
10045754379.66521875731-5.533984281261084775.86876552395-195.334781242693
10147854770.672861699972.147797219886384797.17934108014-14.3271383000292
10246104483.3661013759-80.22050406280794816.85440268691-126.633898624098
10352205664.55935774407-61.0888220377434836.52946429367444.559357744075
10452855549.03552450687160.0751712795514860.88930421358264.03552450687
10548704927.63800568356-72.88714981704914885.2491441334957.6380056835606
10654405755.88161722952232.1744446914654891.94393807902315.88161722952
10746154438.0139591589-106.6526911834414898.63873202454-176.986040841101
10846454546.01736830645-155.2530465213194899.23567821487-98.9826316935478
10948454698.9591657124591.208209882364899.83262440519-146.040834287552
11047804855.55252896083-195.2537638661744899.7012349053475.5525289608349
11150054919.14580436754191.2843502269774899.56984540548-85.8541956324616
11249054917.19722341726-5.533984281261084898.3367608640112.1972234172554
11346304360.748526457592.147797219886384897.10367632253-269.251473542413
11447854754.10274561863-80.22050406280794896.11775844418-30.8972543813688
11551605485.95698147192-61.0888220377434895.13184056583325.956981471916



Parameters (Session):
par1 = 12 ; par2 = periodic ; par3 = 0 ; par5 = 1 ; par7 = 1 ; par8 = FALSE ;
Parameters (R input):
par1 = 12 ; par2 = periodic ; par3 = 0 ; par4 = ; par5 = 1 ; par6 = ; 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')