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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, 04 Dec 2009 08:02:19 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/Dec/04/t1259939050oe8ak21ak499d9v.htm/, Retrieved Sat, 27 Apr 2024 17:36:12 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=63705, Retrieved Sat, 27 Apr 2024 17:36:12 +0000
QR Codes:

Original text written by user:WS 9 Estimation of Box-Jenkins ARIMA models
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact108
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Data Series] [data set] [2008-12-01 19:54:57] [b98453cac15ba1066b407e146608df68]
- RMP   [Decomposition by Loess] [] [2009-11-27 15:00:29] [b98453cac15ba1066b407e146608df68]
-    D      [Decomposition by Loess] [WS 9 Estimation o...] [2009-12-04 15:02:19] [9b6f46453e60f88d91cef176fe926003] [Current]
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Dataseries X:
14,5
14,3
15,3
14,4
13,7
14,2
13,5
11,9
14,6
15,6
14,1
14,9
14,2
14,6
17,2
15,4
14,3
17,5
14,5
14,4
16,6
16,7
16,6
16,9
15,7
16,4
18,4
16,9
16,5
18,3
15,1
15,7
18,1
16,8
18,9
19
18,1
17,8
21,5
17,1
18,7
19
16,4
16,9
18,6
19,3
19,4
17,6
18,6
18,1
20,4
18,1
19,6
19,9
19,2
17,8
19,2
22
21,1
19,5
22,2
20,9
22,2
23,5
21,5
24,3
22,8
20,3
23,7
23,3
19,6
18
17,3
16,8
18,2
16,5
16
18,4




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63705&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=63705&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63705&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 Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135







Seasonal Decomposition by Loess - Parameters
ComponentWindowDegreeJump
Seasonal781079
Trend1912
Low-pass1312

\begin{tabular}{lllllllll}
\hline
Seasonal Decomposition by Loess - Parameters \tabularnewline
Component & Window & Degree & Jump \tabularnewline
Seasonal & 781 & 0 & 79 \tabularnewline
Trend & 19 & 1 & 2 \tabularnewline
Low-pass & 13 & 1 & 2 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63705&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]781[/C][C]0[/C][C]79[/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=63705&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63705&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
Seasonal781079
Trend1912
Low-pass1312







Seasonal Decomposition by Loess - Time Series Components
tObservedFittedSeasonalTrendRemainder
114.515.0944532290277-0.32133592761834714.22688269859060.594453229027726
214.314.9650721971997-0.5908582350936214.22578603789390.665072197199716
315.314.94997606627011.4253345565327014.2246893771972-0.350023933729888
414.414.7456178657239-0.18367980480630414.23806193908240.345617865723927
513.713.5555433650574-0.40697786602492114.2514345009676-0.144456634942642
614.212.87608500673941.2492153040595514.2746996892011-1.32391499326060
713.513.6548576916501-0.95282256908468814.29796487743450.154857691650145
811.911.1995927387024-1.7262093436455614.3266166049432-0.700407261297611
914.614.29432919271250.55040247483569614.3552683324518-0.305670807287495
1015.615.74276545624911.0082751329313314.44895941081950.142765456249149
1114.113.34120021322000.31614929759276614.5426504891873-0.758799786780017
1214.915.4668485678870-0.36749299506312214.70064442717620.56684856788697
1314.213.8626975624533-0.32133592761834714.8586383651651-0.337302437546709
1414.614.7685528763388-0.5908582350936215.02230535875480.168552876338834
1517.217.78869309112281.4253345565327015.18597235234450.588693091122785
1615.415.6421099855524-0.18367980480630415.34156981925390.242109985552359
1714.313.5098105798616-0.40697786602492115.4971672861634-0.79018942013845
1817.518.10872335728311.2492153040595515.64206133865740.608723357283052
1914.514.1658671779333-0.95282256908468815.7869553911514-0.334132822066735
2014.414.6030839049608-1.7262093436455615.92312543868470.203083904960845
2116.616.59030203894630.55040247483569616.059295486218-0.0096979610536998
2216.716.20154472128741.0082751329313316.1901801457813-0.498455278712596
2316.616.56278589706270.31614929759276616.3210648053445-0.0372141029372948
2416.917.7352648692324-0.36749299506312216.43222812583070.835264869232414
2515.715.1779444813015-0.32133592761834716.5433914463169-0.52205551869854
2616.416.7591426981985-0.5908582350936216.63171553689510.359142698198532
2718.418.65462581599401.4253345565327016.72003962747330.254625815994018
2816.917.1676488388048-0.18367980480630416.81603096600150.267648838804806
2916.516.4949555614952-0.40697786602492116.9120223045297-0.00504443850478609
3018.318.30104369522021.2492153040595517.04974100072030.00104369522018999
3115.113.9653628721739-0.95282256908468817.1874596969108-1.13463712782612
3215.715.7671766129765-1.7262093436455617.35903273066910.0671766129764677
3318.118.11899176073690.55040247483569617.53060576442740.0189917607369345
3416.814.89880608249351.0082751329313317.6929187845751-1.90119391750646
3518.919.62861889768430.31614929759276617.85523180472290.728618897684328
361920.3830520511956-0.36749299506312217.98444094386751.38305205119560
3718.118.4076858446062-0.32133592761834718.11365008301210.307685844606208
3817.817.9863847916615-0.5908582350936218.20447344343210.186384791661542
3921.523.27936863961531.4253345565327018.2952968038521.77936863961529
4017.116.0441556039335-0.18367980480630418.3395242008728-1.05584439606645
4118.719.4232262681314-0.40697786602492118.38375159789350.723226268131413
421918.37244649071571.2492153040595518.3783382052247-0.62755350928428
4316.415.3798977565287-0.95282256908468818.3729248125559-1.02010224347126
4416.917.1531573324591-1.7262093436455618.37305201118650.253157332459082
4518.618.27641831534730.55040247483569618.373179209817-0.323581684652702
4619.319.16929377403551.0082751329313318.4224310930331-0.130706225964452
4719.420.0121677261580.31614929759276618.47168297624930.612167726157981
4817.616.9893391266856-0.36749299506312218.5781538683775-0.610660873314352
4918.618.8367111671126-0.32133592761834718.68462476050570.236711167112645
5018.117.9848713841974-0.5908582350936218.8059868508962-0.115128615802622
5120.420.44731650218051.4253345565327018.92734894128680.047316502180518
5218.117.3147424746840-0.18367980480630419.0689373301223-0.785257525315984
5319.620.3964521470671-0.40697786602492119.21052571895780.796452147067129
5419.919.14687255454151.2492153040595519.4039121413989-0.753127445458471
5519.219.7555240052446-0.95282256908468819.59729856384000.555524005244646
5617.817.4878858871229-1.7262093436455619.8383234565226-0.312114112877069
5719.217.77024917595910.55040247483569620.0793483492052-1.42975082404092
582222.63282692503821.0082751329313320.35889794203050.632826925038188
5921.121.24540316755150.31614929759276620.63844753485580.145403167551478
6019.518.4246517007967-0.36749299506312220.9428412942664-1.07534829920328
6122.223.4741008739413-0.32133592761834721.24723505367701.27410087394130
6220.920.861797160875-0.5908582350936221.5290610742186-0.038202839125006
6322.221.16377834870711.4253345565327021.8108870947602-1.03622165129291
6423.525.2461859749217-0.18367980480630421.93749382988461.74618597492174
6521.521.342877301016-0.40697786602492122.0641005650089-0.157122698984004
6624.325.42679330955861.2492153040595521.92399138638191.12679330955856
6722.824.7689403613298-0.95282256908468821.78388220775481.96894036132984
6820.320.9179896223853-1.7262093436455621.40821972126030.617989622385252
6923.725.81704029039850.55040247483569621.03255723476582.11704029039854
7023.325.13888393691231.0082751329313320.45284093015641.83888393691229
7119.619.01072607686020.31614929759276619.8731246255470-0.589273923139785
721817.0625475421009-0.36749299506312219.3049454529623-0.937452457899145
7317.316.1845696472408-0.32133592761834718.7367662803775-1.11543035275917
7416.816.0475862668205-0.5908582350936218.1432719682731-0.752413733179505
7518.217.42488778729861.4253345565327017.5497776561687-0.775112212701433
7616.516.240476640808-0.18367980480630416.9432031639983-0.259523359192006
771616.0703491941970-0.40697786602492116.33662867182790.0703491941970356
7818.419.82000966471701.2492153040595515.73077503122351.42000966471696

\begin{tabular}{lllllllll}
\hline
Seasonal Decomposition by Loess - Time Series Components \tabularnewline
t & Observed & Fitted & Seasonal & Trend & Remainder \tabularnewline
1 & 14.5 & 15.0944532290277 & -0.321335927618347 & 14.2268826985906 & 0.594453229027726 \tabularnewline
2 & 14.3 & 14.9650721971997 & -0.59085823509362 & 14.2257860378939 & 0.665072197199716 \tabularnewline
3 & 15.3 & 14.9499760662701 & 1.42533455653270 & 14.2246893771972 & -0.350023933729888 \tabularnewline
4 & 14.4 & 14.7456178657239 & -0.183679804806304 & 14.2380619390824 & 0.345617865723927 \tabularnewline
5 & 13.7 & 13.5555433650574 & -0.406977866024921 & 14.2514345009676 & -0.144456634942642 \tabularnewline
6 & 14.2 & 12.8760850067394 & 1.24921530405955 & 14.2746996892011 & -1.32391499326060 \tabularnewline
7 & 13.5 & 13.6548576916501 & -0.952822569084688 & 14.2979648774345 & 0.154857691650145 \tabularnewline
8 & 11.9 & 11.1995927387024 & -1.72620934364556 & 14.3266166049432 & -0.700407261297611 \tabularnewline
9 & 14.6 & 14.2943291927125 & 0.550402474835696 & 14.3552683324518 & -0.305670807287495 \tabularnewline
10 & 15.6 & 15.7427654562491 & 1.00827513293133 & 14.4489594108195 & 0.142765456249149 \tabularnewline
11 & 14.1 & 13.3412002132200 & 0.316149297592766 & 14.5426504891873 & -0.758799786780017 \tabularnewline
12 & 14.9 & 15.4668485678870 & -0.367492995063122 & 14.7006444271762 & 0.56684856788697 \tabularnewline
13 & 14.2 & 13.8626975624533 & -0.321335927618347 & 14.8586383651651 & -0.337302437546709 \tabularnewline
14 & 14.6 & 14.7685528763388 & -0.59085823509362 & 15.0223053587548 & 0.168552876338834 \tabularnewline
15 & 17.2 & 17.7886930911228 & 1.42533455653270 & 15.1859723523445 & 0.588693091122785 \tabularnewline
16 & 15.4 & 15.6421099855524 & -0.183679804806304 & 15.3415698192539 & 0.242109985552359 \tabularnewline
17 & 14.3 & 13.5098105798616 & -0.406977866024921 & 15.4971672861634 & -0.79018942013845 \tabularnewline
18 & 17.5 & 18.1087233572831 & 1.24921530405955 & 15.6420613386574 & 0.608723357283052 \tabularnewline
19 & 14.5 & 14.1658671779333 & -0.952822569084688 & 15.7869553911514 & -0.334132822066735 \tabularnewline
20 & 14.4 & 14.6030839049608 & -1.72620934364556 & 15.9231254386847 & 0.203083904960845 \tabularnewline
21 & 16.6 & 16.5903020389463 & 0.550402474835696 & 16.059295486218 & -0.0096979610536998 \tabularnewline
22 & 16.7 & 16.2015447212874 & 1.00827513293133 & 16.1901801457813 & -0.498455278712596 \tabularnewline
23 & 16.6 & 16.5627858970627 & 0.316149297592766 & 16.3210648053445 & -0.0372141029372948 \tabularnewline
24 & 16.9 & 17.7352648692324 & -0.367492995063122 & 16.4322281258307 & 0.835264869232414 \tabularnewline
25 & 15.7 & 15.1779444813015 & -0.321335927618347 & 16.5433914463169 & -0.52205551869854 \tabularnewline
26 & 16.4 & 16.7591426981985 & -0.59085823509362 & 16.6317155368951 & 0.359142698198532 \tabularnewline
27 & 18.4 & 18.6546258159940 & 1.42533455653270 & 16.7200396274733 & 0.254625815994018 \tabularnewline
28 & 16.9 & 17.1676488388048 & -0.183679804806304 & 16.8160309660015 & 0.267648838804806 \tabularnewline
29 & 16.5 & 16.4949555614952 & -0.406977866024921 & 16.9120223045297 & -0.00504443850478609 \tabularnewline
30 & 18.3 & 18.3010436952202 & 1.24921530405955 & 17.0497410007203 & 0.00104369522018999 \tabularnewline
31 & 15.1 & 13.9653628721739 & -0.952822569084688 & 17.1874596969108 & -1.13463712782612 \tabularnewline
32 & 15.7 & 15.7671766129765 & -1.72620934364556 & 17.3590327306691 & 0.0671766129764677 \tabularnewline
33 & 18.1 & 18.1189917607369 & 0.550402474835696 & 17.5306057644274 & 0.0189917607369345 \tabularnewline
34 & 16.8 & 14.8988060824935 & 1.00827513293133 & 17.6929187845751 & -1.90119391750646 \tabularnewline
35 & 18.9 & 19.6286188976843 & 0.316149297592766 & 17.8552318047229 & 0.728618897684328 \tabularnewline
36 & 19 & 20.3830520511956 & -0.367492995063122 & 17.9844409438675 & 1.38305205119560 \tabularnewline
37 & 18.1 & 18.4076858446062 & -0.321335927618347 & 18.1136500830121 & 0.307685844606208 \tabularnewline
38 & 17.8 & 17.9863847916615 & -0.59085823509362 & 18.2044734434321 & 0.186384791661542 \tabularnewline
39 & 21.5 & 23.2793686396153 & 1.42533455653270 & 18.295296803852 & 1.77936863961529 \tabularnewline
40 & 17.1 & 16.0441556039335 & -0.183679804806304 & 18.3395242008728 & -1.05584439606645 \tabularnewline
41 & 18.7 & 19.4232262681314 & -0.406977866024921 & 18.3837515978935 & 0.723226268131413 \tabularnewline
42 & 19 & 18.3724464907157 & 1.24921530405955 & 18.3783382052247 & -0.62755350928428 \tabularnewline
43 & 16.4 & 15.3798977565287 & -0.952822569084688 & 18.3729248125559 & -1.02010224347126 \tabularnewline
44 & 16.9 & 17.1531573324591 & -1.72620934364556 & 18.3730520111865 & 0.253157332459082 \tabularnewline
45 & 18.6 & 18.2764183153473 & 0.550402474835696 & 18.373179209817 & -0.323581684652702 \tabularnewline
46 & 19.3 & 19.1692937740355 & 1.00827513293133 & 18.4224310930331 & -0.130706225964452 \tabularnewline
47 & 19.4 & 20.012167726158 & 0.316149297592766 & 18.4716829762493 & 0.612167726157981 \tabularnewline
48 & 17.6 & 16.9893391266856 & -0.367492995063122 & 18.5781538683775 & -0.610660873314352 \tabularnewline
49 & 18.6 & 18.8367111671126 & -0.321335927618347 & 18.6846247605057 & 0.236711167112645 \tabularnewline
50 & 18.1 & 17.9848713841974 & -0.59085823509362 & 18.8059868508962 & -0.115128615802622 \tabularnewline
51 & 20.4 & 20.4473165021805 & 1.42533455653270 & 18.9273489412868 & 0.047316502180518 \tabularnewline
52 & 18.1 & 17.3147424746840 & -0.183679804806304 & 19.0689373301223 & -0.785257525315984 \tabularnewline
53 & 19.6 & 20.3964521470671 & -0.406977866024921 & 19.2105257189578 & 0.796452147067129 \tabularnewline
54 & 19.9 & 19.1468725545415 & 1.24921530405955 & 19.4039121413989 & -0.753127445458471 \tabularnewline
55 & 19.2 & 19.7555240052446 & -0.952822569084688 & 19.5972985638400 & 0.555524005244646 \tabularnewline
56 & 17.8 & 17.4878858871229 & -1.72620934364556 & 19.8383234565226 & -0.312114112877069 \tabularnewline
57 & 19.2 & 17.7702491759591 & 0.550402474835696 & 20.0793483492052 & -1.42975082404092 \tabularnewline
58 & 22 & 22.6328269250382 & 1.00827513293133 & 20.3588979420305 & 0.632826925038188 \tabularnewline
59 & 21.1 & 21.2454031675515 & 0.316149297592766 & 20.6384475348558 & 0.145403167551478 \tabularnewline
60 & 19.5 & 18.4246517007967 & -0.367492995063122 & 20.9428412942664 & -1.07534829920328 \tabularnewline
61 & 22.2 & 23.4741008739413 & -0.321335927618347 & 21.2472350536770 & 1.27410087394130 \tabularnewline
62 & 20.9 & 20.861797160875 & -0.59085823509362 & 21.5290610742186 & -0.038202839125006 \tabularnewline
63 & 22.2 & 21.1637783487071 & 1.42533455653270 & 21.8108870947602 & -1.03622165129291 \tabularnewline
64 & 23.5 & 25.2461859749217 & -0.183679804806304 & 21.9374938298846 & 1.74618597492174 \tabularnewline
65 & 21.5 & 21.342877301016 & -0.406977866024921 & 22.0641005650089 & -0.157122698984004 \tabularnewline
66 & 24.3 & 25.4267933095586 & 1.24921530405955 & 21.9239913863819 & 1.12679330955856 \tabularnewline
67 & 22.8 & 24.7689403613298 & -0.952822569084688 & 21.7838822077548 & 1.96894036132984 \tabularnewline
68 & 20.3 & 20.9179896223853 & -1.72620934364556 & 21.4082197212603 & 0.617989622385252 \tabularnewline
69 & 23.7 & 25.8170402903985 & 0.550402474835696 & 21.0325572347658 & 2.11704029039854 \tabularnewline
70 & 23.3 & 25.1388839369123 & 1.00827513293133 & 20.4528409301564 & 1.83888393691229 \tabularnewline
71 & 19.6 & 19.0107260768602 & 0.316149297592766 & 19.8731246255470 & -0.589273923139785 \tabularnewline
72 & 18 & 17.0625475421009 & -0.367492995063122 & 19.3049454529623 & -0.937452457899145 \tabularnewline
73 & 17.3 & 16.1845696472408 & -0.321335927618347 & 18.7367662803775 & -1.11543035275917 \tabularnewline
74 & 16.8 & 16.0475862668205 & -0.59085823509362 & 18.1432719682731 & -0.752413733179505 \tabularnewline
75 & 18.2 & 17.4248877872986 & 1.42533455653270 & 17.5497776561687 & -0.775112212701433 \tabularnewline
76 & 16.5 & 16.240476640808 & -0.183679804806304 & 16.9432031639983 & -0.259523359192006 \tabularnewline
77 & 16 & 16.0703491941970 & -0.406977866024921 & 16.3366286718279 & 0.0703491941970356 \tabularnewline
78 & 18.4 & 19.8200096647170 & 1.24921530405955 & 15.7307750312235 & 1.42000966471696 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63705&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]14.5[/C][C]15.0944532290277[/C][C]-0.321335927618347[/C][C]14.2268826985906[/C][C]0.594453229027726[/C][/ROW]
[ROW][C]2[/C][C]14.3[/C][C]14.9650721971997[/C][C]-0.59085823509362[/C][C]14.2257860378939[/C][C]0.665072197199716[/C][/ROW]
[ROW][C]3[/C][C]15.3[/C][C]14.9499760662701[/C][C]1.42533455653270[/C][C]14.2246893771972[/C][C]-0.350023933729888[/C][/ROW]
[ROW][C]4[/C][C]14.4[/C][C]14.7456178657239[/C][C]-0.183679804806304[/C][C]14.2380619390824[/C][C]0.345617865723927[/C][/ROW]
[ROW][C]5[/C][C]13.7[/C][C]13.5555433650574[/C][C]-0.406977866024921[/C][C]14.2514345009676[/C][C]-0.144456634942642[/C][/ROW]
[ROW][C]6[/C][C]14.2[/C][C]12.8760850067394[/C][C]1.24921530405955[/C][C]14.2746996892011[/C][C]-1.32391499326060[/C][/ROW]
[ROW][C]7[/C][C]13.5[/C][C]13.6548576916501[/C][C]-0.952822569084688[/C][C]14.2979648774345[/C][C]0.154857691650145[/C][/ROW]
[ROW][C]8[/C][C]11.9[/C][C]11.1995927387024[/C][C]-1.72620934364556[/C][C]14.3266166049432[/C][C]-0.700407261297611[/C][/ROW]
[ROW][C]9[/C][C]14.6[/C][C]14.2943291927125[/C][C]0.550402474835696[/C][C]14.3552683324518[/C][C]-0.305670807287495[/C][/ROW]
[ROW][C]10[/C][C]15.6[/C][C]15.7427654562491[/C][C]1.00827513293133[/C][C]14.4489594108195[/C][C]0.142765456249149[/C][/ROW]
[ROW][C]11[/C][C]14.1[/C][C]13.3412002132200[/C][C]0.316149297592766[/C][C]14.5426504891873[/C][C]-0.758799786780017[/C][/ROW]
[ROW][C]12[/C][C]14.9[/C][C]15.4668485678870[/C][C]-0.367492995063122[/C][C]14.7006444271762[/C][C]0.56684856788697[/C][/ROW]
[ROW][C]13[/C][C]14.2[/C][C]13.8626975624533[/C][C]-0.321335927618347[/C][C]14.8586383651651[/C][C]-0.337302437546709[/C][/ROW]
[ROW][C]14[/C][C]14.6[/C][C]14.7685528763388[/C][C]-0.59085823509362[/C][C]15.0223053587548[/C][C]0.168552876338834[/C][/ROW]
[ROW][C]15[/C][C]17.2[/C][C]17.7886930911228[/C][C]1.42533455653270[/C][C]15.1859723523445[/C][C]0.588693091122785[/C][/ROW]
[ROW][C]16[/C][C]15.4[/C][C]15.6421099855524[/C][C]-0.183679804806304[/C][C]15.3415698192539[/C][C]0.242109985552359[/C][/ROW]
[ROW][C]17[/C][C]14.3[/C][C]13.5098105798616[/C][C]-0.406977866024921[/C][C]15.4971672861634[/C][C]-0.79018942013845[/C][/ROW]
[ROW][C]18[/C][C]17.5[/C][C]18.1087233572831[/C][C]1.24921530405955[/C][C]15.6420613386574[/C][C]0.608723357283052[/C][/ROW]
[ROW][C]19[/C][C]14.5[/C][C]14.1658671779333[/C][C]-0.952822569084688[/C][C]15.7869553911514[/C][C]-0.334132822066735[/C][/ROW]
[ROW][C]20[/C][C]14.4[/C][C]14.6030839049608[/C][C]-1.72620934364556[/C][C]15.9231254386847[/C][C]0.203083904960845[/C][/ROW]
[ROW][C]21[/C][C]16.6[/C][C]16.5903020389463[/C][C]0.550402474835696[/C][C]16.059295486218[/C][C]-0.0096979610536998[/C][/ROW]
[ROW][C]22[/C][C]16.7[/C][C]16.2015447212874[/C][C]1.00827513293133[/C][C]16.1901801457813[/C][C]-0.498455278712596[/C][/ROW]
[ROW][C]23[/C][C]16.6[/C][C]16.5627858970627[/C][C]0.316149297592766[/C][C]16.3210648053445[/C][C]-0.0372141029372948[/C][/ROW]
[ROW][C]24[/C][C]16.9[/C][C]17.7352648692324[/C][C]-0.367492995063122[/C][C]16.4322281258307[/C][C]0.835264869232414[/C][/ROW]
[ROW][C]25[/C][C]15.7[/C][C]15.1779444813015[/C][C]-0.321335927618347[/C][C]16.5433914463169[/C][C]-0.52205551869854[/C][/ROW]
[ROW][C]26[/C][C]16.4[/C][C]16.7591426981985[/C][C]-0.59085823509362[/C][C]16.6317155368951[/C][C]0.359142698198532[/C][/ROW]
[ROW][C]27[/C][C]18.4[/C][C]18.6546258159940[/C][C]1.42533455653270[/C][C]16.7200396274733[/C][C]0.254625815994018[/C][/ROW]
[ROW][C]28[/C][C]16.9[/C][C]17.1676488388048[/C][C]-0.183679804806304[/C][C]16.8160309660015[/C][C]0.267648838804806[/C][/ROW]
[ROW][C]29[/C][C]16.5[/C][C]16.4949555614952[/C][C]-0.406977866024921[/C][C]16.9120223045297[/C][C]-0.00504443850478609[/C][/ROW]
[ROW][C]30[/C][C]18.3[/C][C]18.3010436952202[/C][C]1.24921530405955[/C][C]17.0497410007203[/C][C]0.00104369522018999[/C][/ROW]
[ROW][C]31[/C][C]15.1[/C][C]13.9653628721739[/C][C]-0.952822569084688[/C][C]17.1874596969108[/C][C]-1.13463712782612[/C][/ROW]
[ROW][C]32[/C][C]15.7[/C][C]15.7671766129765[/C][C]-1.72620934364556[/C][C]17.3590327306691[/C][C]0.0671766129764677[/C][/ROW]
[ROW][C]33[/C][C]18.1[/C][C]18.1189917607369[/C][C]0.550402474835696[/C][C]17.5306057644274[/C][C]0.0189917607369345[/C][/ROW]
[ROW][C]34[/C][C]16.8[/C][C]14.8988060824935[/C][C]1.00827513293133[/C][C]17.6929187845751[/C][C]-1.90119391750646[/C][/ROW]
[ROW][C]35[/C][C]18.9[/C][C]19.6286188976843[/C][C]0.316149297592766[/C][C]17.8552318047229[/C][C]0.728618897684328[/C][/ROW]
[ROW][C]36[/C][C]19[/C][C]20.3830520511956[/C][C]-0.367492995063122[/C][C]17.9844409438675[/C][C]1.38305205119560[/C][/ROW]
[ROW][C]37[/C][C]18.1[/C][C]18.4076858446062[/C][C]-0.321335927618347[/C][C]18.1136500830121[/C][C]0.307685844606208[/C][/ROW]
[ROW][C]38[/C][C]17.8[/C][C]17.9863847916615[/C][C]-0.59085823509362[/C][C]18.2044734434321[/C][C]0.186384791661542[/C][/ROW]
[ROW][C]39[/C][C]21.5[/C][C]23.2793686396153[/C][C]1.42533455653270[/C][C]18.295296803852[/C][C]1.77936863961529[/C][/ROW]
[ROW][C]40[/C][C]17.1[/C][C]16.0441556039335[/C][C]-0.183679804806304[/C][C]18.3395242008728[/C][C]-1.05584439606645[/C][/ROW]
[ROW][C]41[/C][C]18.7[/C][C]19.4232262681314[/C][C]-0.406977866024921[/C][C]18.3837515978935[/C][C]0.723226268131413[/C][/ROW]
[ROW][C]42[/C][C]19[/C][C]18.3724464907157[/C][C]1.24921530405955[/C][C]18.3783382052247[/C][C]-0.62755350928428[/C][/ROW]
[ROW][C]43[/C][C]16.4[/C][C]15.3798977565287[/C][C]-0.952822569084688[/C][C]18.3729248125559[/C][C]-1.02010224347126[/C][/ROW]
[ROW][C]44[/C][C]16.9[/C][C]17.1531573324591[/C][C]-1.72620934364556[/C][C]18.3730520111865[/C][C]0.253157332459082[/C][/ROW]
[ROW][C]45[/C][C]18.6[/C][C]18.2764183153473[/C][C]0.550402474835696[/C][C]18.373179209817[/C][C]-0.323581684652702[/C][/ROW]
[ROW][C]46[/C][C]19.3[/C][C]19.1692937740355[/C][C]1.00827513293133[/C][C]18.4224310930331[/C][C]-0.130706225964452[/C][/ROW]
[ROW][C]47[/C][C]19.4[/C][C]20.012167726158[/C][C]0.316149297592766[/C][C]18.4716829762493[/C][C]0.612167726157981[/C][/ROW]
[ROW][C]48[/C][C]17.6[/C][C]16.9893391266856[/C][C]-0.367492995063122[/C][C]18.5781538683775[/C][C]-0.610660873314352[/C][/ROW]
[ROW][C]49[/C][C]18.6[/C][C]18.8367111671126[/C][C]-0.321335927618347[/C][C]18.6846247605057[/C][C]0.236711167112645[/C][/ROW]
[ROW][C]50[/C][C]18.1[/C][C]17.9848713841974[/C][C]-0.59085823509362[/C][C]18.8059868508962[/C][C]-0.115128615802622[/C][/ROW]
[ROW][C]51[/C][C]20.4[/C][C]20.4473165021805[/C][C]1.42533455653270[/C][C]18.9273489412868[/C][C]0.047316502180518[/C][/ROW]
[ROW][C]52[/C][C]18.1[/C][C]17.3147424746840[/C][C]-0.183679804806304[/C][C]19.0689373301223[/C][C]-0.785257525315984[/C][/ROW]
[ROW][C]53[/C][C]19.6[/C][C]20.3964521470671[/C][C]-0.406977866024921[/C][C]19.2105257189578[/C][C]0.796452147067129[/C][/ROW]
[ROW][C]54[/C][C]19.9[/C][C]19.1468725545415[/C][C]1.24921530405955[/C][C]19.4039121413989[/C][C]-0.753127445458471[/C][/ROW]
[ROW][C]55[/C][C]19.2[/C][C]19.7555240052446[/C][C]-0.952822569084688[/C][C]19.5972985638400[/C][C]0.555524005244646[/C][/ROW]
[ROW][C]56[/C][C]17.8[/C][C]17.4878858871229[/C][C]-1.72620934364556[/C][C]19.8383234565226[/C][C]-0.312114112877069[/C][/ROW]
[ROW][C]57[/C][C]19.2[/C][C]17.7702491759591[/C][C]0.550402474835696[/C][C]20.0793483492052[/C][C]-1.42975082404092[/C][/ROW]
[ROW][C]58[/C][C]22[/C][C]22.6328269250382[/C][C]1.00827513293133[/C][C]20.3588979420305[/C][C]0.632826925038188[/C][/ROW]
[ROW][C]59[/C][C]21.1[/C][C]21.2454031675515[/C][C]0.316149297592766[/C][C]20.6384475348558[/C][C]0.145403167551478[/C][/ROW]
[ROW][C]60[/C][C]19.5[/C][C]18.4246517007967[/C][C]-0.367492995063122[/C][C]20.9428412942664[/C][C]-1.07534829920328[/C][/ROW]
[ROW][C]61[/C][C]22.2[/C][C]23.4741008739413[/C][C]-0.321335927618347[/C][C]21.2472350536770[/C][C]1.27410087394130[/C][/ROW]
[ROW][C]62[/C][C]20.9[/C][C]20.861797160875[/C][C]-0.59085823509362[/C][C]21.5290610742186[/C][C]-0.038202839125006[/C][/ROW]
[ROW][C]63[/C][C]22.2[/C][C]21.1637783487071[/C][C]1.42533455653270[/C][C]21.8108870947602[/C][C]-1.03622165129291[/C][/ROW]
[ROW][C]64[/C][C]23.5[/C][C]25.2461859749217[/C][C]-0.183679804806304[/C][C]21.9374938298846[/C][C]1.74618597492174[/C][/ROW]
[ROW][C]65[/C][C]21.5[/C][C]21.342877301016[/C][C]-0.406977866024921[/C][C]22.0641005650089[/C][C]-0.157122698984004[/C][/ROW]
[ROW][C]66[/C][C]24.3[/C][C]25.4267933095586[/C][C]1.24921530405955[/C][C]21.9239913863819[/C][C]1.12679330955856[/C][/ROW]
[ROW][C]67[/C][C]22.8[/C][C]24.7689403613298[/C][C]-0.952822569084688[/C][C]21.7838822077548[/C][C]1.96894036132984[/C][/ROW]
[ROW][C]68[/C][C]20.3[/C][C]20.9179896223853[/C][C]-1.72620934364556[/C][C]21.4082197212603[/C][C]0.617989622385252[/C][/ROW]
[ROW][C]69[/C][C]23.7[/C][C]25.8170402903985[/C][C]0.550402474835696[/C][C]21.0325572347658[/C][C]2.11704029039854[/C][/ROW]
[ROW][C]70[/C][C]23.3[/C][C]25.1388839369123[/C][C]1.00827513293133[/C][C]20.4528409301564[/C][C]1.83888393691229[/C][/ROW]
[ROW][C]71[/C][C]19.6[/C][C]19.0107260768602[/C][C]0.316149297592766[/C][C]19.8731246255470[/C][C]-0.589273923139785[/C][/ROW]
[ROW][C]72[/C][C]18[/C][C]17.0625475421009[/C][C]-0.367492995063122[/C][C]19.3049454529623[/C][C]-0.937452457899145[/C][/ROW]
[ROW][C]73[/C][C]17.3[/C][C]16.1845696472408[/C][C]-0.321335927618347[/C][C]18.7367662803775[/C][C]-1.11543035275917[/C][/ROW]
[ROW][C]74[/C][C]16.8[/C][C]16.0475862668205[/C][C]-0.59085823509362[/C][C]18.1432719682731[/C][C]-0.752413733179505[/C][/ROW]
[ROW][C]75[/C][C]18.2[/C][C]17.4248877872986[/C][C]1.42533455653270[/C][C]17.5497776561687[/C][C]-0.775112212701433[/C][/ROW]
[ROW][C]76[/C][C]16.5[/C][C]16.240476640808[/C][C]-0.183679804806304[/C][C]16.9432031639983[/C][C]-0.259523359192006[/C][/ROW]
[ROW][C]77[/C][C]16[/C][C]16.0703491941970[/C][C]-0.406977866024921[/C][C]16.3366286718279[/C][C]0.0703491941970356[/C][/ROW]
[ROW][C]78[/C][C]18.4[/C][C]19.8200096647170[/C][C]1.24921530405955[/C][C]15.7307750312235[/C][C]1.42000966471696[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=63705&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63705&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
114.515.0944532290277-0.32133592761834714.22688269859060.594453229027726
214.314.9650721971997-0.5908582350936214.22578603789390.665072197199716
315.314.94997606627011.4253345565327014.2246893771972-0.350023933729888
414.414.7456178657239-0.18367980480630414.23806193908240.345617865723927
513.713.5555433650574-0.40697786602492114.2514345009676-0.144456634942642
614.212.87608500673941.2492153040595514.2746996892011-1.32391499326060
713.513.6548576916501-0.95282256908468814.29796487743450.154857691650145
811.911.1995927387024-1.7262093436455614.3266166049432-0.700407261297611
914.614.29432919271250.55040247483569614.3552683324518-0.305670807287495
1015.615.74276545624911.0082751329313314.44895941081950.142765456249149
1114.113.34120021322000.31614929759276614.5426504891873-0.758799786780017
1214.915.4668485678870-0.36749299506312214.70064442717620.56684856788697
1314.213.8626975624533-0.32133592761834714.8586383651651-0.337302437546709
1414.614.7685528763388-0.5908582350936215.02230535875480.168552876338834
1517.217.78869309112281.4253345565327015.18597235234450.588693091122785
1615.415.6421099855524-0.18367980480630415.34156981925390.242109985552359
1714.313.5098105798616-0.40697786602492115.4971672861634-0.79018942013845
1817.518.10872335728311.2492153040595515.64206133865740.608723357283052
1914.514.1658671779333-0.95282256908468815.7869553911514-0.334132822066735
2014.414.6030839049608-1.7262093436455615.92312543868470.203083904960845
2116.616.59030203894630.55040247483569616.059295486218-0.0096979610536998
2216.716.20154472128741.0082751329313316.1901801457813-0.498455278712596
2316.616.56278589706270.31614929759276616.3210648053445-0.0372141029372948
2416.917.7352648692324-0.36749299506312216.43222812583070.835264869232414
2515.715.1779444813015-0.32133592761834716.5433914463169-0.52205551869854
2616.416.7591426981985-0.5908582350936216.63171553689510.359142698198532
2718.418.65462581599401.4253345565327016.72003962747330.254625815994018
2816.917.1676488388048-0.18367980480630416.81603096600150.267648838804806
2916.516.4949555614952-0.40697786602492116.9120223045297-0.00504443850478609
3018.318.30104369522021.2492153040595517.04974100072030.00104369522018999
3115.113.9653628721739-0.95282256908468817.1874596969108-1.13463712782612
3215.715.7671766129765-1.7262093436455617.35903273066910.0671766129764677
3318.118.11899176073690.55040247483569617.53060576442740.0189917607369345
3416.814.89880608249351.0082751329313317.6929187845751-1.90119391750646
3518.919.62861889768430.31614929759276617.85523180472290.728618897684328
361920.3830520511956-0.36749299506312217.98444094386751.38305205119560
3718.118.4076858446062-0.32133592761834718.11365008301210.307685844606208
3817.817.9863847916615-0.5908582350936218.20447344343210.186384791661542
3921.523.27936863961531.4253345565327018.2952968038521.77936863961529
4017.116.0441556039335-0.18367980480630418.3395242008728-1.05584439606645
4118.719.4232262681314-0.40697786602492118.38375159789350.723226268131413
421918.37244649071571.2492153040595518.3783382052247-0.62755350928428
4316.415.3798977565287-0.95282256908468818.3729248125559-1.02010224347126
4416.917.1531573324591-1.7262093436455618.37305201118650.253157332459082
4518.618.27641831534730.55040247483569618.373179209817-0.323581684652702
4619.319.16929377403551.0082751329313318.4224310930331-0.130706225964452
4719.420.0121677261580.31614929759276618.47168297624930.612167726157981
4817.616.9893391266856-0.36749299506312218.5781538683775-0.610660873314352
4918.618.8367111671126-0.32133592761834718.68462476050570.236711167112645
5018.117.9848713841974-0.5908582350936218.8059868508962-0.115128615802622
5120.420.44731650218051.4253345565327018.92734894128680.047316502180518
5218.117.3147424746840-0.18367980480630419.0689373301223-0.785257525315984
5319.620.3964521470671-0.40697786602492119.21052571895780.796452147067129
5419.919.14687255454151.2492153040595519.4039121413989-0.753127445458471
5519.219.7555240052446-0.95282256908468819.59729856384000.555524005244646
5617.817.4878858871229-1.7262093436455619.8383234565226-0.312114112877069
5719.217.77024917595910.55040247483569620.0793483492052-1.42975082404092
582222.63282692503821.0082751329313320.35889794203050.632826925038188
5921.121.24540316755150.31614929759276620.63844753485580.145403167551478
6019.518.4246517007967-0.36749299506312220.9428412942664-1.07534829920328
6122.223.4741008739413-0.32133592761834721.24723505367701.27410087394130
6220.920.861797160875-0.5908582350936221.5290610742186-0.038202839125006
6322.221.16377834870711.4253345565327021.8108870947602-1.03622165129291
6423.525.2461859749217-0.18367980480630421.93749382988461.74618597492174
6521.521.342877301016-0.40697786602492122.0641005650089-0.157122698984004
6624.325.42679330955861.2492153040595521.92399138638191.12679330955856
6722.824.7689403613298-0.95282256908468821.78388220775481.96894036132984
6820.320.9179896223853-1.7262093436455621.40821972126030.617989622385252
6923.725.81704029039850.55040247483569621.03255723476582.11704029039854
7023.325.13888393691231.0082751329313320.45284093015641.83888393691229
7119.619.01072607686020.31614929759276619.8731246255470-0.589273923139785
721817.0625475421009-0.36749299506312219.3049454529623-0.937452457899145
7317.316.1845696472408-0.32133592761834718.7367662803775-1.11543035275917
7416.816.0475862668205-0.5908582350936218.1432719682731-0.752413733179505
7518.217.42488778729861.4253345565327017.5497776561687-0.775112212701433
7616.516.240476640808-0.18367980480630416.9432031639983-0.259523359192006
771616.0703491941970-0.40697786602492116.33662867182790.0703491941970356
7818.419.82000966471701.2492153040595515.73077503122351.42000966471696



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')