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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, 20 Dec 2013 10:54:37 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2013/Dec/20/t1387554887r55aiut5aalb5y1.htm/, Retrieved Tue, 16 Apr 2024 18:04:25 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=232457, Retrieved Tue, 16 Apr 2024 18:04:25 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact186
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Decomposition by Loess] [] [2013-12-20 15:54:37] [9e6a405f514733ea23d87e4507d39d29] [Current]
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Dataseries X:
56
55
54
52
72
71
56
46
47
47
48
50
44
38
33
33
52
54
39
22
31
31
38
42
41
31
36
34
51
47
31
19
30
33
36
40
32
25
28
29
55
55
40
38
44
41
49
59
61
47
43
39
66
68
63
68
67
59
68
78
82
70
62
68
94
102
100
104
103
93
110
114
120
102
95
103
122
139
135
135
137
130
148
148
145
128
131
133
146
163
151
157
152
149
172
167
160
150
160
165
171
179
171
176
170
169
194
196
188
174
186
191
197
206
197
204
201
190
213
213




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time6 seconds
R Server'Herman Ole Andreas Wold' @ wold.wessa.net

\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 & 6 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=232457&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]6 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=232457&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=232457&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 time6 seconds
R Server'Herman Ole Andreas Wold' @ wold.wessa.net







Seasonal Decomposition by Loess - Parameters
ComponentWindowDegreeJump
Seasonal12010121
Trend1912
Low-pass1312

\begin{tabular}{lllllllll}
\hline
Seasonal Decomposition by Loess - Parameters \tabularnewline
Component & Window & Degree & Jump \tabularnewline
Seasonal & 1201 & 0 & 121 \tabularnewline
Trend & 19 & 1 & 2 \tabularnewline
Low-pass & 13 & 1 & 2 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=232457&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]1201[/C][C]0[/C][C]121[/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=232457&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=232457&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
Seasonal12010121
Trend1912
Low-pass1312







Seasonal Decomposition by Loess - Time Series Components
tObservedFittedSeasonalTrendRemainder
15645.82727785430932.1004551749826564.0722669707081-10.1727221456907
25557.525831214761-9.940293162922262.41446194816122.52583121476096
35457.5243861926466-10.281043118261160.75665692561443.52438619264663
45254.2608740250107-9.3688315678052259.10795754279452.26087402501069
57278.99735582875977.5433860112657157.45925815997466.99735582875966
67173.723656866835112.410628213545155.86571491961992.72365686683507
75656.34995639775521.377871922979754.27217167926510.349956397755221
84640.3779843885317-1.0425457074349252.6645613189032-5.6220156114683
94743.7060137761852-0.76296473472659151.0569509585414-3.29398622381478
104750.6782552996072-6.0124822353453749.33422693573823.67825529960719
114842.25049557319316.1380015138719747.611502912935-5.74950442680694
125045.96595368724997.8378199596195746.1962263531305-4.03404631275007
134441.11859503169132.1004551749826544.780949793326-2.88140496830867
143842.5407073920517-9.940293162922243.39958577087054.54070739205169
153334.2628213698461-10.281043118261142.0182217484151.26282136984605
163334.600043319921-9.3688315678052240.76878824788431.60004331992096
175256.93725924138087.5433860112657139.51935474735354.93725924138077
185456.954522235350312.410628213545138.63484955110462.95452223535033
193938.87178372216461.377871922979737.7503443548557-0.128216277835371
20227.72694277604289-1.0425457074349237.315602931392-14.2730572239571
213125.8821032267982-0.76296473472659136.8808615079284-5.1178967732018
223131.1256772493602-6.0124822353453736.88680498598520.125677249360166
233832.9692500220866.1380015138719736.892748464042-5.03074997791398
244239.20802703287267.8378199596195736.9541530075078-2.79197296712741
254142.88398727404372.1004551749826537.01555755097371.88398727404369
263135.0350741585474-9.940293162922236.90521900437484.0350741585474
273645.4861626604851-10.281043118261136.79488045777599.48616266048511
283440.8778041235962-9.3688315678052236.4910274442096.87780412359625
295158.26943955809237.5433860112657136.1871744306427.26943955809231
304745.979705004650812.410628213545135.6096667818042-1.02029499534923
313125.58996894405391.377871922979735.0321591329664-5.41003105594605
32194.7009814150363-1.0425457074349234.3415642923986-14.2990185849637
333027.1119952828957-0.76296473472659133.6509694518309-2.88800471710431
343338.468124772785-6.0124822353453733.54435746256035.46812477278504
353632.42425301283836.1380015138719733.4377454732898-3.57574698716172
364037.9785906998197.8378199596195734.1835893405614-2.02140930018096
373226.97011161718432.1004551749826534.929433207833-5.02988838281565
382523.8751828803341-9.940293162922236.0651102825881-1.12481711966592
392829.0802557609178-10.281043118261137.20078735734321.08025576091781
402929.0204500748904-9.3688315678052238.34838149291480.0204500748904195
415562.96063836024797.5433860112657139.49597562848647.96063836024793
425556.606932532613912.410628213545140.9824392538411.60693253261391
434036.15322519782461.377871922979742.4689028791957-3.84677480217537
443833.025400304852-1.0425457074349244.0171454025829-4.97459969514799
454443.1975768087564-0.76296473472659145.5653879259702-0.802423191243562
464141.1480587873837-6.0124822353453746.86442344796170.148058787383697
474943.69853951617486.1380015138719748.1634589699532-5.30146048382515
485960.56593759101037.8378199596195749.59624244937011.56593759101035
496168.87051889623042.1004551749826551.0290259287877.87051889623038
504751.0780160621698-9.940293162922252.86227710075254.07801606216975
514341.5855148455431-10.281043118261154.6955282727179-1.41448515445687
523930.973836197057-9.3688315678052256.3949953707482-8.026163802943
536666.36215151995587.5433860112657158.09446246877850.362151519955788
546863.833259082880312.410628213545159.7561127035747-4.16674091711972
556363.20436513864951.377871922979761.41776293837080.2043651386495
566873.7576479512612-1.0425457074349263.28489775617375.75764795126123
576769.61093216075-0.76296473472659165.15203257397662.61093216075002
585956.6486291357362-6.0124822353453767.3638530996092-2.3513708642638
596860.28632486088636.1380015138719769.5756736252417-7.71367513911372
607876.04521837701837.8378199596195772.1169616633621-1.95478162298168
618287.24129512353492.1004551749826574.65824970148245.24129512353491
627072.2764610867393-9.940293162922277.66383207618292.27646108673933
636253.6116286673778-10.281043118261180.6694144508833-8.38837133262224
646861.4933545058351-9.3688315678052283.8754770619701-6.50664549416493
659493.37507431567737.5433860112657187.081539673057-0.62492568432269
66102101.29302421470412.410628213545190.2963475717509-0.706975785296009
67100105.1109726065751.377871922979793.51115547044495.11097260657539
68104112.549698199329-1.0425457074349296.49284750810648.54969819932852
69103107.288425188959-0.76296473472659199.47453954576794.2884251889587
709389.8615618207769-6.01248223534537102.150920414569-3.13843817922314
71110109.0346972027596.13800151387197104.827301283369-0.965302797241065
72114112.8306846320937.83781995961957107.331495408287-1.16931536790666
73120128.0638552918122.10045517498265109.8356895332058.06385529181227
74102101.338086341222-9.9402931629222112.6022068217-0.661913658777536
759584.9123190080667-10.2810431182611115.368724110194-10.0876809919333
7610396.9806662605563-9.36883156780522118.388165307249-6.01933373944368
77122115.0490074844317.54338601126571121.407606504303-6.9509925155691
78139141.24820852657412.4106282135451124.3411632598812.24820852657373
79135141.3474080615611.3778719229797127.2747200154596.3474080615613
80135141.078475258985-1.04254570743492129.964070448456.07847525898538
81137142.109543853286-0.762964734726591132.653420881445.10954385328648
82130131.100078617548-6.01248223534537134.9124036177971.10007861754843
83148152.6906121319746.13800151387197137.1713863541544.69061213197429
84148149.3369955392327.83781995961957138.8251845011481.33699553923245
85145147.4205621768752.10045517498265140.4789826481422.42056217687517
86128124.018787878663-9.9402931629222141.921505284259-3.98121212133714
87131128.917015197885-10.2810431182611143.364027920377-2.08298480211545
88133130.372877904336-9.36883156780522144.995953663469-2.62712209566428
89146137.8287345821727.54338601126571146.627879406562-8.17126541782815
90163165.19027823300412.4106282135451148.3990935534512.19027823300368
91151150.451820376681.3778719229797150.17030770034-0.548179623319754
92157162.843895599221-1.04254570743492152.1986501082145.84389559922062
93152150.535972218638-0.762964734726591154.226992516089-1.46402778136198
94149147.677174787628-6.01248223534537156.335307447718-1.32282521237227
95172179.4183761067816.13800151387197158.4436223793477.41837610678135
96167165.9153737312747.83781995961957160.246806309106-1.08462626872583
97160155.8495545861522.10045517498265162.049990238866-4.15044541384847
98150146.360426848025-9.9402931629222163.579866314898-3.63957315197536
99160165.171300727332-10.2810431182611165.1097423909295.17130072733173
100165172.537818299859-9.36883156780522166.8310132679477.53781829985854
101171165.904329843777.54338601126571168.552284144964-5.09567015622972
102179175.02791338638112.4106282135451170.561458400074-3.97208661361881
103171168.0514954218371.3778719229797172.570632655183-2.94850457816318
104176178.260469237052-1.04254570743492174.7820764703832.26046923705175
105170163.769444449144-0.762964734726591176.993520285583-6.23055555085631
106169164.748621386474-6.01248223534537179.263860848872-4.25137861352641
107194200.3277970739676.13800151387197181.5342014121616.32779707396733
108196200.2769476781147.83781995961957183.8852323622664.27694767811417
109188187.6632815126462.10045517498265186.236263312372-0.336718487354432
110174169.505705577569-9.9402931629222188.434587585353-4.49429442243098
111186191.648131259926-10.2810431182611190.6329118583355.64813125992646
112191198.993416225612-9.36883156780522192.3754153421937.99341622561229
113197192.3386951626837.54338601126571194.117918826051-4.66130483731692
114206203.76409620177412.4106282135451195.825275584681-2.23590379822625
115197195.0894957337091.3778719229797197.532632343311-1.91050426629084
116204209.838412526826-1.04254570743492199.2041331806095.83841252682558
117201201.887330716819-0.762964734726591200.8756340179080.887330716819065
118190183.496697191192-6.01248223534537202.515785044153-6.50330280880803
119213215.7060624157296.13800151387197204.1559360703992.70606241572872
120213212.3863827735677.83781995961957205.775797266814-0.613617226433433

\begin{tabular}{lllllllll}
\hline
Seasonal Decomposition by Loess - Time Series Components \tabularnewline
t & Observed & Fitted & Seasonal & Trend & Remainder \tabularnewline
1 & 56 & 45.8272778543093 & 2.10045517498265 & 64.0722669707081 & -10.1727221456907 \tabularnewline
2 & 55 & 57.525831214761 & -9.9402931629222 & 62.4144619481612 & 2.52583121476096 \tabularnewline
3 & 54 & 57.5243861926466 & -10.2810431182611 & 60.7566569256144 & 3.52438619264663 \tabularnewline
4 & 52 & 54.2608740250107 & -9.36883156780522 & 59.1079575427945 & 2.26087402501069 \tabularnewline
5 & 72 & 78.9973558287597 & 7.54338601126571 & 57.4592581599746 & 6.99735582875966 \tabularnewline
6 & 71 & 73.7236568668351 & 12.4106282135451 & 55.8657149196199 & 2.72365686683507 \tabularnewline
7 & 56 & 56.3499563977552 & 1.3778719229797 & 54.2721716792651 & 0.349956397755221 \tabularnewline
8 & 46 & 40.3779843885317 & -1.04254570743492 & 52.6645613189032 & -5.6220156114683 \tabularnewline
9 & 47 & 43.7060137761852 & -0.762964734726591 & 51.0569509585414 & -3.29398622381478 \tabularnewline
10 & 47 & 50.6782552996072 & -6.01248223534537 & 49.3342269357382 & 3.67825529960719 \tabularnewline
11 & 48 & 42.2504955731931 & 6.13800151387197 & 47.611502912935 & -5.74950442680694 \tabularnewline
12 & 50 & 45.9659536872499 & 7.83781995961957 & 46.1962263531305 & -4.03404631275007 \tabularnewline
13 & 44 & 41.1185950316913 & 2.10045517498265 & 44.780949793326 & -2.88140496830867 \tabularnewline
14 & 38 & 42.5407073920517 & -9.9402931629222 & 43.3995857708705 & 4.54070739205169 \tabularnewline
15 & 33 & 34.2628213698461 & -10.2810431182611 & 42.018221748415 & 1.26282136984605 \tabularnewline
16 & 33 & 34.600043319921 & -9.36883156780522 & 40.7687882478843 & 1.60004331992096 \tabularnewline
17 & 52 & 56.9372592413808 & 7.54338601126571 & 39.5193547473535 & 4.93725924138077 \tabularnewline
18 & 54 & 56.9545222353503 & 12.4106282135451 & 38.6348495511046 & 2.95452223535033 \tabularnewline
19 & 39 & 38.8717837221646 & 1.3778719229797 & 37.7503443548557 & -0.128216277835371 \tabularnewline
20 & 22 & 7.72694277604289 & -1.04254570743492 & 37.315602931392 & -14.2730572239571 \tabularnewline
21 & 31 & 25.8821032267982 & -0.762964734726591 & 36.8808615079284 & -5.1178967732018 \tabularnewline
22 & 31 & 31.1256772493602 & -6.01248223534537 & 36.8868049859852 & 0.125677249360166 \tabularnewline
23 & 38 & 32.969250022086 & 6.13800151387197 & 36.892748464042 & -5.03074997791398 \tabularnewline
24 & 42 & 39.2080270328726 & 7.83781995961957 & 36.9541530075078 & -2.79197296712741 \tabularnewline
25 & 41 & 42.8839872740437 & 2.10045517498265 & 37.0155575509737 & 1.88398727404369 \tabularnewline
26 & 31 & 35.0350741585474 & -9.9402931629222 & 36.9052190043748 & 4.0350741585474 \tabularnewline
27 & 36 & 45.4861626604851 & -10.2810431182611 & 36.7948804577759 & 9.48616266048511 \tabularnewline
28 & 34 & 40.8778041235962 & -9.36883156780522 & 36.491027444209 & 6.87780412359625 \tabularnewline
29 & 51 & 58.2694395580923 & 7.54338601126571 & 36.187174430642 & 7.26943955809231 \tabularnewline
30 & 47 & 45.9797050046508 & 12.4106282135451 & 35.6096667818042 & -1.02029499534923 \tabularnewline
31 & 31 & 25.5899689440539 & 1.3778719229797 & 35.0321591329664 & -5.41003105594605 \tabularnewline
32 & 19 & 4.7009814150363 & -1.04254570743492 & 34.3415642923986 & -14.2990185849637 \tabularnewline
33 & 30 & 27.1119952828957 & -0.762964734726591 & 33.6509694518309 & -2.88800471710431 \tabularnewline
34 & 33 & 38.468124772785 & -6.01248223534537 & 33.5443574625603 & 5.46812477278504 \tabularnewline
35 & 36 & 32.4242530128383 & 6.13800151387197 & 33.4377454732898 & -3.57574698716172 \tabularnewline
36 & 40 & 37.978590699819 & 7.83781995961957 & 34.1835893405614 & -2.02140930018096 \tabularnewline
37 & 32 & 26.9701116171843 & 2.10045517498265 & 34.929433207833 & -5.02988838281565 \tabularnewline
38 & 25 & 23.8751828803341 & -9.9402931629222 & 36.0651102825881 & -1.12481711966592 \tabularnewline
39 & 28 & 29.0802557609178 & -10.2810431182611 & 37.2007873573432 & 1.08025576091781 \tabularnewline
40 & 29 & 29.0204500748904 & -9.36883156780522 & 38.3483814929148 & 0.0204500748904195 \tabularnewline
41 & 55 & 62.9606383602479 & 7.54338601126571 & 39.4959756284864 & 7.96063836024793 \tabularnewline
42 & 55 & 56.6069325326139 & 12.4106282135451 & 40.982439253841 & 1.60693253261391 \tabularnewline
43 & 40 & 36.1532251978246 & 1.3778719229797 & 42.4689028791957 & -3.84677480217537 \tabularnewline
44 & 38 & 33.025400304852 & -1.04254570743492 & 44.0171454025829 & -4.97459969514799 \tabularnewline
45 & 44 & 43.1975768087564 & -0.762964734726591 & 45.5653879259702 & -0.802423191243562 \tabularnewline
46 & 41 & 41.1480587873837 & -6.01248223534537 & 46.8644234479617 & 0.148058787383697 \tabularnewline
47 & 49 & 43.6985395161748 & 6.13800151387197 & 48.1634589699532 & -5.30146048382515 \tabularnewline
48 & 59 & 60.5659375910103 & 7.83781995961957 & 49.5962424493701 & 1.56593759101035 \tabularnewline
49 & 61 & 68.8705188962304 & 2.10045517498265 & 51.029025928787 & 7.87051889623038 \tabularnewline
50 & 47 & 51.0780160621698 & -9.9402931629222 & 52.8622771007525 & 4.07801606216975 \tabularnewline
51 & 43 & 41.5855148455431 & -10.2810431182611 & 54.6955282727179 & -1.41448515445687 \tabularnewline
52 & 39 & 30.973836197057 & -9.36883156780522 & 56.3949953707482 & -8.026163802943 \tabularnewline
53 & 66 & 66.3621515199558 & 7.54338601126571 & 58.0944624687785 & 0.362151519955788 \tabularnewline
54 & 68 & 63.8332590828803 & 12.4106282135451 & 59.7561127035747 & -4.16674091711972 \tabularnewline
55 & 63 & 63.2043651386495 & 1.3778719229797 & 61.4177629383708 & 0.2043651386495 \tabularnewline
56 & 68 & 73.7576479512612 & -1.04254570743492 & 63.2848977561737 & 5.75764795126123 \tabularnewline
57 & 67 & 69.61093216075 & -0.762964734726591 & 65.1520325739766 & 2.61093216075002 \tabularnewline
58 & 59 & 56.6486291357362 & -6.01248223534537 & 67.3638530996092 & -2.3513708642638 \tabularnewline
59 & 68 & 60.2863248608863 & 6.13800151387197 & 69.5756736252417 & -7.71367513911372 \tabularnewline
60 & 78 & 76.0452183770183 & 7.83781995961957 & 72.1169616633621 & -1.95478162298168 \tabularnewline
61 & 82 & 87.2412951235349 & 2.10045517498265 & 74.6582497014824 & 5.24129512353491 \tabularnewline
62 & 70 & 72.2764610867393 & -9.9402931629222 & 77.6638320761829 & 2.27646108673933 \tabularnewline
63 & 62 & 53.6116286673778 & -10.2810431182611 & 80.6694144508833 & -8.38837133262224 \tabularnewline
64 & 68 & 61.4933545058351 & -9.36883156780522 & 83.8754770619701 & -6.50664549416493 \tabularnewline
65 & 94 & 93.3750743156773 & 7.54338601126571 & 87.081539673057 & -0.62492568432269 \tabularnewline
66 & 102 & 101.293024214704 & 12.4106282135451 & 90.2963475717509 & -0.706975785296009 \tabularnewline
67 & 100 & 105.110972606575 & 1.3778719229797 & 93.5111554704449 & 5.11097260657539 \tabularnewline
68 & 104 & 112.549698199329 & -1.04254570743492 & 96.4928475081064 & 8.54969819932852 \tabularnewline
69 & 103 & 107.288425188959 & -0.762964734726591 & 99.4745395457679 & 4.2884251889587 \tabularnewline
70 & 93 & 89.8615618207769 & -6.01248223534537 & 102.150920414569 & -3.13843817922314 \tabularnewline
71 & 110 & 109.034697202759 & 6.13800151387197 & 104.827301283369 & -0.965302797241065 \tabularnewline
72 & 114 & 112.830684632093 & 7.83781995961957 & 107.331495408287 & -1.16931536790666 \tabularnewline
73 & 120 & 128.063855291812 & 2.10045517498265 & 109.835689533205 & 8.06385529181227 \tabularnewline
74 & 102 & 101.338086341222 & -9.9402931629222 & 112.6022068217 & -0.661913658777536 \tabularnewline
75 & 95 & 84.9123190080667 & -10.2810431182611 & 115.368724110194 & -10.0876809919333 \tabularnewline
76 & 103 & 96.9806662605563 & -9.36883156780522 & 118.388165307249 & -6.01933373944368 \tabularnewline
77 & 122 & 115.049007484431 & 7.54338601126571 & 121.407606504303 & -6.9509925155691 \tabularnewline
78 & 139 & 141.248208526574 & 12.4106282135451 & 124.341163259881 & 2.24820852657373 \tabularnewline
79 & 135 & 141.347408061561 & 1.3778719229797 & 127.274720015459 & 6.3474080615613 \tabularnewline
80 & 135 & 141.078475258985 & -1.04254570743492 & 129.96407044845 & 6.07847525898538 \tabularnewline
81 & 137 & 142.109543853286 & -0.762964734726591 & 132.65342088144 & 5.10954385328648 \tabularnewline
82 & 130 & 131.100078617548 & -6.01248223534537 & 134.912403617797 & 1.10007861754843 \tabularnewline
83 & 148 & 152.690612131974 & 6.13800151387197 & 137.171386354154 & 4.69061213197429 \tabularnewline
84 & 148 & 149.336995539232 & 7.83781995961957 & 138.825184501148 & 1.33699553923245 \tabularnewline
85 & 145 & 147.420562176875 & 2.10045517498265 & 140.478982648142 & 2.42056217687517 \tabularnewline
86 & 128 & 124.018787878663 & -9.9402931629222 & 141.921505284259 & -3.98121212133714 \tabularnewline
87 & 131 & 128.917015197885 & -10.2810431182611 & 143.364027920377 & -2.08298480211545 \tabularnewline
88 & 133 & 130.372877904336 & -9.36883156780522 & 144.995953663469 & -2.62712209566428 \tabularnewline
89 & 146 & 137.828734582172 & 7.54338601126571 & 146.627879406562 & -8.17126541782815 \tabularnewline
90 & 163 & 165.190278233004 & 12.4106282135451 & 148.399093553451 & 2.19027823300368 \tabularnewline
91 & 151 & 150.45182037668 & 1.3778719229797 & 150.17030770034 & -0.548179623319754 \tabularnewline
92 & 157 & 162.843895599221 & -1.04254570743492 & 152.198650108214 & 5.84389559922062 \tabularnewline
93 & 152 & 150.535972218638 & -0.762964734726591 & 154.226992516089 & -1.46402778136198 \tabularnewline
94 & 149 & 147.677174787628 & -6.01248223534537 & 156.335307447718 & -1.32282521237227 \tabularnewline
95 & 172 & 179.418376106781 & 6.13800151387197 & 158.443622379347 & 7.41837610678135 \tabularnewline
96 & 167 & 165.915373731274 & 7.83781995961957 & 160.246806309106 & -1.08462626872583 \tabularnewline
97 & 160 & 155.849554586152 & 2.10045517498265 & 162.049990238866 & -4.15044541384847 \tabularnewline
98 & 150 & 146.360426848025 & -9.9402931629222 & 163.579866314898 & -3.63957315197536 \tabularnewline
99 & 160 & 165.171300727332 & -10.2810431182611 & 165.109742390929 & 5.17130072733173 \tabularnewline
100 & 165 & 172.537818299859 & -9.36883156780522 & 166.831013267947 & 7.53781829985854 \tabularnewline
101 & 171 & 165.90432984377 & 7.54338601126571 & 168.552284144964 & -5.09567015622972 \tabularnewline
102 & 179 & 175.027913386381 & 12.4106282135451 & 170.561458400074 & -3.97208661361881 \tabularnewline
103 & 171 & 168.051495421837 & 1.3778719229797 & 172.570632655183 & -2.94850457816318 \tabularnewline
104 & 176 & 178.260469237052 & -1.04254570743492 & 174.782076470383 & 2.26046923705175 \tabularnewline
105 & 170 & 163.769444449144 & -0.762964734726591 & 176.993520285583 & -6.23055555085631 \tabularnewline
106 & 169 & 164.748621386474 & -6.01248223534537 & 179.263860848872 & -4.25137861352641 \tabularnewline
107 & 194 & 200.327797073967 & 6.13800151387197 & 181.534201412161 & 6.32779707396733 \tabularnewline
108 & 196 & 200.276947678114 & 7.83781995961957 & 183.885232362266 & 4.27694767811417 \tabularnewline
109 & 188 & 187.663281512646 & 2.10045517498265 & 186.236263312372 & -0.336718487354432 \tabularnewline
110 & 174 & 169.505705577569 & -9.9402931629222 & 188.434587585353 & -4.49429442243098 \tabularnewline
111 & 186 & 191.648131259926 & -10.2810431182611 & 190.632911858335 & 5.64813125992646 \tabularnewline
112 & 191 & 198.993416225612 & -9.36883156780522 & 192.375415342193 & 7.99341622561229 \tabularnewline
113 & 197 & 192.338695162683 & 7.54338601126571 & 194.117918826051 & -4.66130483731692 \tabularnewline
114 & 206 & 203.764096201774 & 12.4106282135451 & 195.825275584681 & -2.23590379822625 \tabularnewline
115 & 197 & 195.089495733709 & 1.3778719229797 & 197.532632343311 & -1.91050426629084 \tabularnewline
116 & 204 & 209.838412526826 & -1.04254570743492 & 199.204133180609 & 5.83841252682558 \tabularnewline
117 & 201 & 201.887330716819 & -0.762964734726591 & 200.875634017908 & 0.887330716819065 \tabularnewline
118 & 190 & 183.496697191192 & -6.01248223534537 & 202.515785044153 & -6.50330280880803 \tabularnewline
119 & 213 & 215.706062415729 & 6.13800151387197 & 204.155936070399 & 2.70606241572872 \tabularnewline
120 & 213 & 212.386382773567 & 7.83781995961957 & 205.775797266814 & -0.613617226433433 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=232457&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]56[/C][C]45.8272778543093[/C][C]2.10045517498265[/C][C]64.0722669707081[/C][C]-10.1727221456907[/C][/ROW]
[ROW][C]2[/C][C]55[/C][C]57.525831214761[/C][C]-9.9402931629222[/C][C]62.4144619481612[/C][C]2.52583121476096[/C][/ROW]
[ROW][C]3[/C][C]54[/C][C]57.5243861926466[/C][C]-10.2810431182611[/C][C]60.7566569256144[/C][C]3.52438619264663[/C][/ROW]
[ROW][C]4[/C][C]52[/C][C]54.2608740250107[/C][C]-9.36883156780522[/C][C]59.1079575427945[/C][C]2.26087402501069[/C][/ROW]
[ROW][C]5[/C][C]72[/C][C]78.9973558287597[/C][C]7.54338601126571[/C][C]57.4592581599746[/C][C]6.99735582875966[/C][/ROW]
[ROW][C]6[/C][C]71[/C][C]73.7236568668351[/C][C]12.4106282135451[/C][C]55.8657149196199[/C][C]2.72365686683507[/C][/ROW]
[ROW][C]7[/C][C]56[/C][C]56.3499563977552[/C][C]1.3778719229797[/C][C]54.2721716792651[/C][C]0.349956397755221[/C][/ROW]
[ROW][C]8[/C][C]46[/C][C]40.3779843885317[/C][C]-1.04254570743492[/C][C]52.6645613189032[/C][C]-5.6220156114683[/C][/ROW]
[ROW][C]9[/C][C]47[/C][C]43.7060137761852[/C][C]-0.762964734726591[/C][C]51.0569509585414[/C][C]-3.29398622381478[/C][/ROW]
[ROW][C]10[/C][C]47[/C][C]50.6782552996072[/C][C]-6.01248223534537[/C][C]49.3342269357382[/C][C]3.67825529960719[/C][/ROW]
[ROW][C]11[/C][C]48[/C][C]42.2504955731931[/C][C]6.13800151387197[/C][C]47.611502912935[/C][C]-5.74950442680694[/C][/ROW]
[ROW][C]12[/C][C]50[/C][C]45.9659536872499[/C][C]7.83781995961957[/C][C]46.1962263531305[/C][C]-4.03404631275007[/C][/ROW]
[ROW][C]13[/C][C]44[/C][C]41.1185950316913[/C][C]2.10045517498265[/C][C]44.780949793326[/C][C]-2.88140496830867[/C][/ROW]
[ROW][C]14[/C][C]38[/C][C]42.5407073920517[/C][C]-9.9402931629222[/C][C]43.3995857708705[/C][C]4.54070739205169[/C][/ROW]
[ROW][C]15[/C][C]33[/C][C]34.2628213698461[/C][C]-10.2810431182611[/C][C]42.018221748415[/C][C]1.26282136984605[/C][/ROW]
[ROW][C]16[/C][C]33[/C][C]34.600043319921[/C][C]-9.36883156780522[/C][C]40.7687882478843[/C][C]1.60004331992096[/C][/ROW]
[ROW][C]17[/C][C]52[/C][C]56.9372592413808[/C][C]7.54338601126571[/C][C]39.5193547473535[/C][C]4.93725924138077[/C][/ROW]
[ROW][C]18[/C][C]54[/C][C]56.9545222353503[/C][C]12.4106282135451[/C][C]38.6348495511046[/C][C]2.95452223535033[/C][/ROW]
[ROW][C]19[/C][C]39[/C][C]38.8717837221646[/C][C]1.3778719229797[/C][C]37.7503443548557[/C][C]-0.128216277835371[/C][/ROW]
[ROW][C]20[/C][C]22[/C][C]7.72694277604289[/C][C]-1.04254570743492[/C][C]37.315602931392[/C][C]-14.2730572239571[/C][/ROW]
[ROW][C]21[/C][C]31[/C][C]25.8821032267982[/C][C]-0.762964734726591[/C][C]36.8808615079284[/C][C]-5.1178967732018[/C][/ROW]
[ROW][C]22[/C][C]31[/C][C]31.1256772493602[/C][C]-6.01248223534537[/C][C]36.8868049859852[/C][C]0.125677249360166[/C][/ROW]
[ROW][C]23[/C][C]38[/C][C]32.969250022086[/C][C]6.13800151387197[/C][C]36.892748464042[/C][C]-5.03074997791398[/C][/ROW]
[ROW][C]24[/C][C]42[/C][C]39.2080270328726[/C][C]7.83781995961957[/C][C]36.9541530075078[/C][C]-2.79197296712741[/C][/ROW]
[ROW][C]25[/C][C]41[/C][C]42.8839872740437[/C][C]2.10045517498265[/C][C]37.0155575509737[/C][C]1.88398727404369[/C][/ROW]
[ROW][C]26[/C][C]31[/C][C]35.0350741585474[/C][C]-9.9402931629222[/C][C]36.9052190043748[/C][C]4.0350741585474[/C][/ROW]
[ROW][C]27[/C][C]36[/C][C]45.4861626604851[/C][C]-10.2810431182611[/C][C]36.7948804577759[/C][C]9.48616266048511[/C][/ROW]
[ROW][C]28[/C][C]34[/C][C]40.8778041235962[/C][C]-9.36883156780522[/C][C]36.491027444209[/C][C]6.87780412359625[/C][/ROW]
[ROW][C]29[/C][C]51[/C][C]58.2694395580923[/C][C]7.54338601126571[/C][C]36.187174430642[/C][C]7.26943955809231[/C][/ROW]
[ROW][C]30[/C][C]47[/C][C]45.9797050046508[/C][C]12.4106282135451[/C][C]35.6096667818042[/C][C]-1.02029499534923[/C][/ROW]
[ROW][C]31[/C][C]31[/C][C]25.5899689440539[/C][C]1.3778719229797[/C][C]35.0321591329664[/C][C]-5.41003105594605[/C][/ROW]
[ROW][C]32[/C][C]19[/C][C]4.7009814150363[/C][C]-1.04254570743492[/C][C]34.3415642923986[/C][C]-14.2990185849637[/C][/ROW]
[ROW][C]33[/C][C]30[/C][C]27.1119952828957[/C][C]-0.762964734726591[/C][C]33.6509694518309[/C][C]-2.88800471710431[/C][/ROW]
[ROW][C]34[/C][C]33[/C][C]38.468124772785[/C][C]-6.01248223534537[/C][C]33.5443574625603[/C][C]5.46812477278504[/C][/ROW]
[ROW][C]35[/C][C]36[/C][C]32.4242530128383[/C][C]6.13800151387197[/C][C]33.4377454732898[/C][C]-3.57574698716172[/C][/ROW]
[ROW][C]36[/C][C]40[/C][C]37.978590699819[/C][C]7.83781995961957[/C][C]34.1835893405614[/C][C]-2.02140930018096[/C][/ROW]
[ROW][C]37[/C][C]32[/C][C]26.9701116171843[/C][C]2.10045517498265[/C][C]34.929433207833[/C][C]-5.02988838281565[/C][/ROW]
[ROW][C]38[/C][C]25[/C][C]23.8751828803341[/C][C]-9.9402931629222[/C][C]36.0651102825881[/C][C]-1.12481711966592[/C][/ROW]
[ROW][C]39[/C][C]28[/C][C]29.0802557609178[/C][C]-10.2810431182611[/C][C]37.2007873573432[/C][C]1.08025576091781[/C][/ROW]
[ROW][C]40[/C][C]29[/C][C]29.0204500748904[/C][C]-9.36883156780522[/C][C]38.3483814929148[/C][C]0.0204500748904195[/C][/ROW]
[ROW][C]41[/C][C]55[/C][C]62.9606383602479[/C][C]7.54338601126571[/C][C]39.4959756284864[/C][C]7.96063836024793[/C][/ROW]
[ROW][C]42[/C][C]55[/C][C]56.6069325326139[/C][C]12.4106282135451[/C][C]40.982439253841[/C][C]1.60693253261391[/C][/ROW]
[ROW][C]43[/C][C]40[/C][C]36.1532251978246[/C][C]1.3778719229797[/C][C]42.4689028791957[/C][C]-3.84677480217537[/C][/ROW]
[ROW][C]44[/C][C]38[/C][C]33.025400304852[/C][C]-1.04254570743492[/C][C]44.0171454025829[/C][C]-4.97459969514799[/C][/ROW]
[ROW][C]45[/C][C]44[/C][C]43.1975768087564[/C][C]-0.762964734726591[/C][C]45.5653879259702[/C][C]-0.802423191243562[/C][/ROW]
[ROW][C]46[/C][C]41[/C][C]41.1480587873837[/C][C]-6.01248223534537[/C][C]46.8644234479617[/C][C]0.148058787383697[/C][/ROW]
[ROW][C]47[/C][C]49[/C][C]43.6985395161748[/C][C]6.13800151387197[/C][C]48.1634589699532[/C][C]-5.30146048382515[/C][/ROW]
[ROW][C]48[/C][C]59[/C][C]60.5659375910103[/C][C]7.83781995961957[/C][C]49.5962424493701[/C][C]1.56593759101035[/C][/ROW]
[ROW][C]49[/C][C]61[/C][C]68.8705188962304[/C][C]2.10045517498265[/C][C]51.029025928787[/C][C]7.87051889623038[/C][/ROW]
[ROW][C]50[/C][C]47[/C][C]51.0780160621698[/C][C]-9.9402931629222[/C][C]52.8622771007525[/C][C]4.07801606216975[/C][/ROW]
[ROW][C]51[/C][C]43[/C][C]41.5855148455431[/C][C]-10.2810431182611[/C][C]54.6955282727179[/C][C]-1.41448515445687[/C][/ROW]
[ROW][C]52[/C][C]39[/C][C]30.973836197057[/C][C]-9.36883156780522[/C][C]56.3949953707482[/C][C]-8.026163802943[/C][/ROW]
[ROW][C]53[/C][C]66[/C][C]66.3621515199558[/C][C]7.54338601126571[/C][C]58.0944624687785[/C][C]0.362151519955788[/C][/ROW]
[ROW][C]54[/C][C]68[/C][C]63.8332590828803[/C][C]12.4106282135451[/C][C]59.7561127035747[/C][C]-4.16674091711972[/C][/ROW]
[ROW][C]55[/C][C]63[/C][C]63.2043651386495[/C][C]1.3778719229797[/C][C]61.4177629383708[/C][C]0.2043651386495[/C][/ROW]
[ROW][C]56[/C][C]68[/C][C]73.7576479512612[/C][C]-1.04254570743492[/C][C]63.2848977561737[/C][C]5.75764795126123[/C][/ROW]
[ROW][C]57[/C][C]67[/C][C]69.61093216075[/C][C]-0.762964734726591[/C][C]65.1520325739766[/C][C]2.61093216075002[/C][/ROW]
[ROW][C]58[/C][C]59[/C][C]56.6486291357362[/C][C]-6.01248223534537[/C][C]67.3638530996092[/C][C]-2.3513708642638[/C][/ROW]
[ROW][C]59[/C][C]68[/C][C]60.2863248608863[/C][C]6.13800151387197[/C][C]69.5756736252417[/C][C]-7.71367513911372[/C][/ROW]
[ROW][C]60[/C][C]78[/C][C]76.0452183770183[/C][C]7.83781995961957[/C][C]72.1169616633621[/C][C]-1.95478162298168[/C][/ROW]
[ROW][C]61[/C][C]82[/C][C]87.2412951235349[/C][C]2.10045517498265[/C][C]74.6582497014824[/C][C]5.24129512353491[/C][/ROW]
[ROW][C]62[/C][C]70[/C][C]72.2764610867393[/C][C]-9.9402931629222[/C][C]77.6638320761829[/C][C]2.27646108673933[/C][/ROW]
[ROW][C]63[/C][C]62[/C][C]53.6116286673778[/C][C]-10.2810431182611[/C][C]80.6694144508833[/C][C]-8.38837133262224[/C][/ROW]
[ROW][C]64[/C][C]68[/C][C]61.4933545058351[/C][C]-9.36883156780522[/C][C]83.8754770619701[/C][C]-6.50664549416493[/C][/ROW]
[ROW][C]65[/C][C]94[/C][C]93.3750743156773[/C][C]7.54338601126571[/C][C]87.081539673057[/C][C]-0.62492568432269[/C][/ROW]
[ROW][C]66[/C][C]102[/C][C]101.293024214704[/C][C]12.4106282135451[/C][C]90.2963475717509[/C][C]-0.706975785296009[/C][/ROW]
[ROW][C]67[/C][C]100[/C][C]105.110972606575[/C][C]1.3778719229797[/C][C]93.5111554704449[/C][C]5.11097260657539[/C][/ROW]
[ROW][C]68[/C][C]104[/C][C]112.549698199329[/C][C]-1.04254570743492[/C][C]96.4928475081064[/C][C]8.54969819932852[/C][/ROW]
[ROW][C]69[/C][C]103[/C][C]107.288425188959[/C][C]-0.762964734726591[/C][C]99.4745395457679[/C][C]4.2884251889587[/C][/ROW]
[ROW][C]70[/C][C]93[/C][C]89.8615618207769[/C][C]-6.01248223534537[/C][C]102.150920414569[/C][C]-3.13843817922314[/C][/ROW]
[ROW][C]71[/C][C]110[/C][C]109.034697202759[/C][C]6.13800151387197[/C][C]104.827301283369[/C][C]-0.965302797241065[/C][/ROW]
[ROW][C]72[/C][C]114[/C][C]112.830684632093[/C][C]7.83781995961957[/C][C]107.331495408287[/C][C]-1.16931536790666[/C][/ROW]
[ROW][C]73[/C][C]120[/C][C]128.063855291812[/C][C]2.10045517498265[/C][C]109.835689533205[/C][C]8.06385529181227[/C][/ROW]
[ROW][C]74[/C][C]102[/C][C]101.338086341222[/C][C]-9.9402931629222[/C][C]112.6022068217[/C][C]-0.661913658777536[/C][/ROW]
[ROW][C]75[/C][C]95[/C][C]84.9123190080667[/C][C]-10.2810431182611[/C][C]115.368724110194[/C][C]-10.0876809919333[/C][/ROW]
[ROW][C]76[/C][C]103[/C][C]96.9806662605563[/C][C]-9.36883156780522[/C][C]118.388165307249[/C][C]-6.01933373944368[/C][/ROW]
[ROW][C]77[/C][C]122[/C][C]115.049007484431[/C][C]7.54338601126571[/C][C]121.407606504303[/C][C]-6.9509925155691[/C][/ROW]
[ROW][C]78[/C][C]139[/C][C]141.248208526574[/C][C]12.4106282135451[/C][C]124.341163259881[/C][C]2.24820852657373[/C][/ROW]
[ROW][C]79[/C][C]135[/C][C]141.347408061561[/C][C]1.3778719229797[/C][C]127.274720015459[/C][C]6.3474080615613[/C][/ROW]
[ROW][C]80[/C][C]135[/C][C]141.078475258985[/C][C]-1.04254570743492[/C][C]129.96407044845[/C][C]6.07847525898538[/C][/ROW]
[ROW][C]81[/C][C]137[/C][C]142.109543853286[/C][C]-0.762964734726591[/C][C]132.65342088144[/C][C]5.10954385328648[/C][/ROW]
[ROW][C]82[/C][C]130[/C][C]131.100078617548[/C][C]-6.01248223534537[/C][C]134.912403617797[/C][C]1.10007861754843[/C][/ROW]
[ROW][C]83[/C][C]148[/C][C]152.690612131974[/C][C]6.13800151387197[/C][C]137.171386354154[/C][C]4.69061213197429[/C][/ROW]
[ROW][C]84[/C][C]148[/C][C]149.336995539232[/C][C]7.83781995961957[/C][C]138.825184501148[/C][C]1.33699553923245[/C][/ROW]
[ROW][C]85[/C][C]145[/C][C]147.420562176875[/C][C]2.10045517498265[/C][C]140.478982648142[/C][C]2.42056217687517[/C][/ROW]
[ROW][C]86[/C][C]128[/C][C]124.018787878663[/C][C]-9.9402931629222[/C][C]141.921505284259[/C][C]-3.98121212133714[/C][/ROW]
[ROW][C]87[/C][C]131[/C][C]128.917015197885[/C][C]-10.2810431182611[/C][C]143.364027920377[/C][C]-2.08298480211545[/C][/ROW]
[ROW][C]88[/C][C]133[/C][C]130.372877904336[/C][C]-9.36883156780522[/C][C]144.995953663469[/C][C]-2.62712209566428[/C][/ROW]
[ROW][C]89[/C][C]146[/C][C]137.828734582172[/C][C]7.54338601126571[/C][C]146.627879406562[/C][C]-8.17126541782815[/C][/ROW]
[ROW][C]90[/C][C]163[/C][C]165.190278233004[/C][C]12.4106282135451[/C][C]148.399093553451[/C][C]2.19027823300368[/C][/ROW]
[ROW][C]91[/C][C]151[/C][C]150.45182037668[/C][C]1.3778719229797[/C][C]150.17030770034[/C][C]-0.548179623319754[/C][/ROW]
[ROW][C]92[/C][C]157[/C][C]162.843895599221[/C][C]-1.04254570743492[/C][C]152.198650108214[/C][C]5.84389559922062[/C][/ROW]
[ROW][C]93[/C][C]152[/C][C]150.535972218638[/C][C]-0.762964734726591[/C][C]154.226992516089[/C][C]-1.46402778136198[/C][/ROW]
[ROW][C]94[/C][C]149[/C][C]147.677174787628[/C][C]-6.01248223534537[/C][C]156.335307447718[/C][C]-1.32282521237227[/C][/ROW]
[ROW][C]95[/C][C]172[/C][C]179.418376106781[/C][C]6.13800151387197[/C][C]158.443622379347[/C][C]7.41837610678135[/C][/ROW]
[ROW][C]96[/C][C]167[/C][C]165.915373731274[/C][C]7.83781995961957[/C][C]160.246806309106[/C][C]-1.08462626872583[/C][/ROW]
[ROW][C]97[/C][C]160[/C][C]155.849554586152[/C][C]2.10045517498265[/C][C]162.049990238866[/C][C]-4.15044541384847[/C][/ROW]
[ROW][C]98[/C][C]150[/C][C]146.360426848025[/C][C]-9.9402931629222[/C][C]163.579866314898[/C][C]-3.63957315197536[/C][/ROW]
[ROW][C]99[/C][C]160[/C][C]165.171300727332[/C][C]-10.2810431182611[/C][C]165.109742390929[/C][C]5.17130072733173[/C][/ROW]
[ROW][C]100[/C][C]165[/C][C]172.537818299859[/C][C]-9.36883156780522[/C][C]166.831013267947[/C][C]7.53781829985854[/C][/ROW]
[ROW][C]101[/C][C]171[/C][C]165.90432984377[/C][C]7.54338601126571[/C][C]168.552284144964[/C][C]-5.09567015622972[/C][/ROW]
[ROW][C]102[/C][C]179[/C][C]175.027913386381[/C][C]12.4106282135451[/C][C]170.561458400074[/C][C]-3.97208661361881[/C][/ROW]
[ROW][C]103[/C][C]171[/C][C]168.051495421837[/C][C]1.3778719229797[/C][C]172.570632655183[/C][C]-2.94850457816318[/C][/ROW]
[ROW][C]104[/C][C]176[/C][C]178.260469237052[/C][C]-1.04254570743492[/C][C]174.782076470383[/C][C]2.26046923705175[/C][/ROW]
[ROW][C]105[/C][C]170[/C][C]163.769444449144[/C][C]-0.762964734726591[/C][C]176.993520285583[/C][C]-6.23055555085631[/C][/ROW]
[ROW][C]106[/C][C]169[/C][C]164.748621386474[/C][C]-6.01248223534537[/C][C]179.263860848872[/C][C]-4.25137861352641[/C][/ROW]
[ROW][C]107[/C][C]194[/C][C]200.327797073967[/C][C]6.13800151387197[/C][C]181.534201412161[/C][C]6.32779707396733[/C][/ROW]
[ROW][C]108[/C][C]196[/C][C]200.276947678114[/C][C]7.83781995961957[/C][C]183.885232362266[/C][C]4.27694767811417[/C][/ROW]
[ROW][C]109[/C][C]188[/C][C]187.663281512646[/C][C]2.10045517498265[/C][C]186.236263312372[/C][C]-0.336718487354432[/C][/ROW]
[ROW][C]110[/C][C]174[/C][C]169.505705577569[/C][C]-9.9402931629222[/C][C]188.434587585353[/C][C]-4.49429442243098[/C][/ROW]
[ROW][C]111[/C][C]186[/C][C]191.648131259926[/C][C]-10.2810431182611[/C][C]190.632911858335[/C][C]5.64813125992646[/C][/ROW]
[ROW][C]112[/C][C]191[/C][C]198.993416225612[/C][C]-9.36883156780522[/C][C]192.375415342193[/C][C]7.99341622561229[/C][/ROW]
[ROW][C]113[/C][C]197[/C][C]192.338695162683[/C][C]7.54338601126571[/C][C]194.117918826051[/C][C]-4.66130483731692[/C][/ROW]
[ROW][C]114[/C][C]206[/C][C]203.764096201774[/C][C]12.4106282135451[/C][C]195.825275584681[/C][C]-2.23590379822625[/C][/ROW]
[ROW][C]115[/C][C]197[/C][C]195.089495733709[/C][C]1.3778719229797[/C][C]197.532632343311[/C][C]-1.91050426629084[/C][/ROW]
[ROW][C]116[/C][C]204[/C][C]209.838412526826[/C][C]-1.04254570743492[/C][C]199.204133180609[/C][C]5.83841252682558[/C][/ROW]
[ROW][C]117[/C][C]201[/C][C]201.887330716819[/C][C]-0.762964734726591[/C][C]200.875634017908[/C][C]0.887330716819065[/C][/ROW]
[ROW][C]118[/C][C]190[/C][C]183.496697191192[/C][C]-6.01248223534537[/C][C]202.515785044153[/C][C]-6.50330280880803[/C][/ROW]
[ROW][C]119[/C][C]213[/C][C]215.706062415729[/C][C]6.13800151387197[/C][C]204.155936070399[/C][C]2.70606241572872[/C][/ROW]
[ROW][C]120[/C][C]213[/C][C]212.386382773567[/C][C]7.83781995961957[/C][C]205.775797266814[/C][C]-0.613617226433433[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=232457&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=232457&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
15645.82727785430932.1004551749826564.0722669707081-10.1727221456907
25557.525831214761-9.940293162922262.41446194816122.52583121476096
35457.5243861926466-10.281043118261160.75665692561443.52438619264663
45254.2608740250107-9.3688315678052259.10795754279452.26087402501069
57278.99735582875977.5433860112657157.45925815997466.99735582875966
67173.723656866835112.410628213545155.86571491961992.72365686683507
75656.34995639775521.377871922979754.27217167926510.349956397755221
84640.3779843885317-1.0425457074349252.6645613189032-5.6220156114683
94743.7060137761852-0.76296473472659151.0569509585414-3.29398622381478
104750.6782552996072-6.0124822353453749.33422693573823.67825529960719
114842.25049557319316.1380015138719747.611502912935-5.74950442680694
125045.96595368724997.8378199596195746.1962263531305-4.03404631275007
134441.11859503169132.1004551749826544.780949793326-2.88140496830867
143842.5407073920517-9.940293162922243.39958577087054.54070739205169
153334.2628213698461-10.281043118261142.0182217484151.26282136984605
163334.600043319921-9.3688315678052240.76878824788431.60004331992096
175256.93725924138087.5433860112657139.51935474735354.93725924138077
185456.954522235350312.410628213545138.63484955110462.95452223535033
193938.87178372216461.377871922979737.7503443548557-0.128216277835371
20227.72694277604289-1.0425457074349237.315602931392-14.2730572239571
213125.8821032267982-0.76296473472659136.8808615079284-5.1178967732018
223131.1256772493602-6.0124822353453736.88680498598520.125677249360166
233832.9692500220866.1380015138719736.892748464042-5.03074997791398
244239.20802703287267.8378199596195736.9541530075078-2.79197296712741
254142.88398727404372.1004551749826537.01555755097371.88398727404369
263135.0350741585474-9.940293162922236.90521900437484.0350741585474
273645.4861626604851-10.281043118261136.79488045777599.48616266048511
283440.8778041235962-9.3688315678052236.4910274442096.87780412359625
295158.26943955809237.5433860112657136.1871744306427.26943955809231
304745.979705004650812.410628213545135.6096667818042-1.02029499534923
313125.58996894405391.377871922979735.0321591329664-5.41003105594605
32194.7009814150363-1.0425457074349234.3415642923986-14.2990185849637
333027.1119952828957-0.76296473472659133.6509694518309-2.88800471710431
343338.468124772785-6.0124822353453733.54435746256035.46812477278504
353632.42425301283836.1380015138719733.4377454732898-3.57574698716172
364037.9785906998197.8378199596195734.1835893405614-2.02140930018096
373226.97011161718432.1004551749826534.929433207833-5.02988838281565
382523.8751828803341-9.940293162922236.0651102825881-1.12481711966592
392829.0802557609178-10.281043118261137.20078735734321.08025576091781
402929.0204500748904-9.3688315678052238.34838149291480.0204500748904195
415562.96063836024797.5433860112657139.49597562848647.96063836024793
425556.606932532613912.410628213545140.9824392538411.60693253261391
434036.15322519782461.377871922979742.4689028791957-3.84677480217537
443833.025400304852-1.0425457074349244.0171454025829-4.97459969514799
454443.1975768087564-0.76296473472659145.5653879259702-0.802423191243562
464141.1480587873837-6.0124822353453746.86442344796170.148058787383697
474943.69853951617486.1380015138719748.1634589699532-5.30146048382515
485960.56593759101037.8378199596195749.59624244937011.56593759101035
496168.87051889623042.1004551749826551.0290259287877.87051889623038
504751.0780160621698-9.940293162922252.86227710075254.07801606216975
514341.5855148455431-10.281043118261154.6955282727179-1.41448515445687
523930.973836197057-9.3688315678052256.3949953707482-8.026163802943
536666.36215151995587.5433860112657158.09446246877850.362151519955788
546863.833259082880312.410628213545159.7561127035747-4.16674091711972
556363.20436513864951.377871922979761.41776293837080.2043651386495
566873.7576479512612-1.0425457074349263.28489775617375.75764795126123
576769.61093216075-0.76296473472659165.15203257397662.61093216075002
585956.6486291357362-6.0124822353453767.3638530996092-2.3513708642638
596860.28632486088636.1380015138719769.5756736252417-7.71367513911372
607876.04521837701837.8378199596195772.1169616633621-1.95478162298168
618287.24129512353492.1004551749826574.65824970148245.24129512353491
627072.2764610867393-9.940293162922277.66383207618292.27646108673933
636253.6116286673778-10.281043118261180.6694144508833-8.38837133262224
646861.4933545058351-9.3688315678052283.8754770619701-6.50664549416493
659493.37507431567737.5433860112657187.081539673057-0.62492568432269
66102101.29302421470412.410628213545190.2963475717509-0.706975785296009
67100105.1109726065751.377871922979793.51115547044495.11097260657539
68104112.549698199329-1.0425457074349296.49284750810648.54969819932852
69103107.288425188959-0.76296473472659199.47453954576794.2884251889587
709389.8615618207769-6.01248223534537102.150920414569-3.13843817922314
71110109.0346972027596.13800151387197104.827301283369-0.965302797241065
72114112.8306846320937.83781995961957107.331495408287-1.16931536790666
73120128.0638552918122.10045517498265109.8356895332058.06385529181227
74102101.338086341222-9.9402931629222112.6022068217-0.661913658777536
759584.9123190080667-10.2810431182611115.368724110194-10.0876809919333
7610396.9806662605563-9.36883156780522118.388165307249-6.01933373944368
77122115.0490074844317.54338601126571121.407606504303-6.9509925155691
78139141.24820852657412.4106282135451124.3411632598812.24820852657373
79135141.3474080615611.3778719229797127.2747200154596.3474080615613
80135141.078475258985-1.04254570743492129.964070448456.07847525898538
81137142.109543853286-0.762964734726591132.653420881445.10954385328648
82130131.100078617548-6.01248223534537134.9124036177971.10007861754843
83148152.6906121319746.13800151387197137.1713863541544.69061213197429
84148149.3369955392327.83781995961957138.8251845011481.33699553923245
85145147.4205621768752.10045517498265140.4789826481422.42056217687517
86128124.018787878663-9.9402931629222141.921505284259-3.98121212133714
87131128.917015197885-10.2810431182611143.364027920377-2.08298480211545
88133130.372877904336-9.36883156780522144.995953663469-2.62712209566428
89146137.8287345821727.54338601126571146.627879406562-8.17126541782815
90163165.19027823300412.4106282135451148.3990935534512.19027823300368
91151150.451820376681.3778719229797150.17030770034-0.548179623319754
92157162.843895599221-1.04254570743492152.1986501082145.84389559922062
93152150.535972218638-0.762964734726591154.226992516089-1.46402778136198
94149147.677174787628-6.01248223534537156.335307447718-1.32282521237227
95172179.4183761067816.13800151387197158.4436223793477.41837610678135
96167165.9153737312747.83781995961957160.246806309106-1.08462626872583
97160155.8495545861522.10045517498265162.049990238866-4.15044541384847
98150146.360426848025-9.9402931629222163.579866314898-3.63957315197536
99160165.171300727332-10.2810431182611165.1097423909295.17130072733173
100165172.537818299859-9.36883156780522166.8310132679477.53781829985854
101171165.904329843777.54338601126571168.552284144964-5.09567015622972
102179175.02791338638112.4106282135451170.561458400074-3.97208661361881
103171168.0514954218371.3778719229797172.570632655183-2.94850457816318
104176178.260469237052-1.04254570743492174.7820764703832.26046923705175
105170163.769444449144-0.762964734726591176.993520285583-6.23055555085631
106169164.748621386474-6.01248223534537179.263860848872-4.25137861352641
107194200.3277970739676.13800151387197181.5342014121616.32779707396733
108196200.2769476781147.83781995961957183.8852323622664.27694767811417
109188187.6632815126462.10045517498265186.236263312372-0.336718487354432
110174169.505705577569-9.9402931629222188.434587585353-4.49429442243098
111186191.648131259926-10.2810431182611190.6329118583355.64813125992646
112191198.993416225612-9.36883156780522192.3754153421937.99341622561229
113197192.3386951626837.54338601126571194.117918826051-4.66130483731692
114206203.76409620177412.4106282135451195.825275584681-2.23590379822625
115197195.0894957337091.3778719229797197.532632343311-1.91050426629084
116204209.838412526826-1.04254570743492199.2041331806095.83841252682558
117201201.887330716819-0.762964734726591200.8756340179080.887330716819065
118190183.496697191192-6.01248223534537202.515785044153-6.50330280880803
119213215.7060624157296.13800151387197204.1559360703992.70606241572872
120213212.3863827735677.83781995961957205.775797266814-0.613617226433433



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')