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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 computationWed, 09 Dec 2015 12:02:02 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2015/Dec/09/t1449662545nrn0zcksy2hxr06.htm/, Retrieved Thu, 16 May 2024 22:38:39 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=285639, Retrieved Thu, 16 May 2024 22:38:39 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact73
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Decomposition by Loess] [Decomposition by ...] [2015-12-09 12:02:02] [42f75ab47e982481f307588c9de28675] [Current]
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Dataseries X:
8.5
8.4
8.5
8.7
8.7
8.6
8.5
8.3
8
8.2
8.1
8.1
8
7.9
7.9
8
8
7.9
8
7.7
7.2
7.5
7.3
7
7
7
7.2
7.3
7.1
6.8
6.4
6.1
6.5
7.7
7.9
7.5
6.9
6.6
6.9
7.7
8
8
7.7
7.3
7.4
8.1
8.3
8.1
7.9
7.9
8.3
8.6
8.7
8.5
8.3
8
8
8.8
8.7
8.5
8.1
7.8
7.7
7.5
7.2
6.9
6.6
6.5
6.6
7.7
8
7.7
7.3
7
7
7.3
7.3
7.1
7.1
7
7
7.5
7.8
7.9
8.1
8.3
8.4
8.6
8.5
8.4
8.3
8
8
8.7
8.7
8.6
8.5
8.5
8.6
8.8
8.7
8.6
8.4
8.1
8.1
8.7
8.7
8.6
8.6
8.5
8.6
8.8
8.8
8.7
8.5
8.3
8.3
8.9
9
8.8




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Gwilym Jenkins' @ jenkins.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 & 3 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=285639&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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=285639&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=285639&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 time3 seconds
R Server'Gwilym Jenkins' @ jenkins.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=285639&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=285639&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=285639&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
18.58.35924928022084-0.04050329028937448.68125401006853-0.140750719779158
28.48.30462895061919-0.1370709890465468.63244203842736-0.0953710493808106
38.58.43000853279386-0.01363859958004598.58363006678618-0.069991467206135
48.78.66040430950670.2081683907348568.53142729975844-0.0395956904932948
58.78.740800122979360.1799753442899448.47922453273070.0408001229793591
68.68.74465598785570.02963819334043418.425705818803870.144655987855696
78.58.76851185273204-0.1406989576090898.372187104877050.268511852732043
88.38.67210388607551-0.3927404712941268.320636585218620.372103886075509
988.14569577237967-0.414781837939868.269086065560190.145695772379671
108.27.936432106685180.2528249003532518.21074299296157-0.263567893314819
118.17.727168573326060.3204315063109928.15239992036294-0.372831426673937
128.17.95753740547810.1483957558296238.09406683869227-0.142462594521898
1388.00476953326777-0.04050329028937448.03573375702160.00476953326776908
147.97.94787073003599-0.1370709890465467.989200259010560.0478707300359851
157.97.87097183858053-0.01363859958004597.94266676099952-0.029028161419471
1687.901650368299730.2081683907348567.89018124096541-0.0983496317002697
1787.982328934778750.1799753442899447.83769572093131-0.0176710652212524
187.98.00779386311390.02963819334043417.762567943545660.107793863113903
1988.45325879144907-0.1406989576090897.687440166160020.45325879144907
207.78.18761735876515-0.3927404712941267.605123112528970.487617358765153
217.27.29197577904193-0.414781837939867.522806058897930.0919757790419338
227.57.306283783875410.2528249003532517.44089131577134-0.193716216124591
237.36.920591921044250.3204315063109927.35897657264475-0.379408078955746
2476.589231975002380.1483957558296237.26237226916799-0.410768024997617
2576.87473532459814-0.04050329028937447.16576796569123-0.12526467540186
2677.05359736174598-0.1370709890465467.083473627300570.0535973617459797
277.27.41245931067015-0.01363859958004597.00117928890990.212459310670148
287.37.408096291714930.2081683907348566.983735317550210.108096291714934
297.17.053733309519530.1799753442899446.96629134619052-0.0462666904804649
306.86.590199134470020.02963819334043416.98016267218955-0.209800865529982
316.45.94666495942051-0.1406989576090896.99403399818858-0.453335040579486
326.15.59392637584941-0.3927404712941266.99881409544471-0.506073624150588
336.56.41118764523901-0.414781837939867.00359419270085-0.0888123547609894
347.78.11054175453420.2528249003532517.036633345112550.410541754534201
357.98.409895996164760.3204315063109927.069672497524250.509895996164761
367.57.702188504787180.1483957558296237.149415739383190.202188504787184
376.96.61134430904724-0.04050329028937447.22915898124214-0.288655690952764
386.66.02552913251549-0.1370709890465467.31154185653106-0.574470867484513
396.96.41971386776007-0.01363859958004597.39392473181998-0.480286132239933
407.77.734737942339280.2081683907348567.457093666925870.0347379423392757
4188.29976205367830.1799753442899447.520262602031760.299762053678299
4288.378635798641150.02963819334043417.591726008018420.378635798641149
437.77.87750954360401-0.1406989576090897.663189414005080.17750954360401
447.37.24513694359027-0.3927404712941267.74760352770385-0.0548630564097259
457.47.38276419653724-0.414781837939867.83201764140262-0.0172358034627642
468.18.044600378835230.2528249003532517.90257472081151-0.0553996211647654
478.38.30643669346860.3204315063109927.97313180022040.00643669346860509
488.18.020324679944680.1483957558296238.0312795642257-0.0796753200553244
497.97.75107596205838-0.04050329028937448.089427328231-0.148924037941622
507.97.78961932054654-0.1370709890465468.14745166850001-0.11038067945346
518.38.40816259081103-0.01363859958004598.205476008769010.108162590811032
528.68.735509473707730.2081683907348568.256322135557410.135509473707732
538.78.912856393364240.1799753442899448.307168262345810.212856393364245
548.58.634634468270820.02963819334043418.335727338388740.134634468270823
558.38.37641254317742-0.1406989576090898.364286414431670.0764125431774154
5688.04500205165404-0.3927404712941268.347738419640090.0450020516540377
5788.08359141309136-0.414781837939868.33119042484850.0835914130913586
588.89.095475992896230.2528249003532518.251699106750520.295475992896232
598.78.907360705036470.3204315063109928.172207788652540.207360705036471
608.58.807066705802740.1483957558296238.044537538367630.307066705802745
618.18.32363600220665-0.04050329028937447.916867288082730.223636002206646
627.87.95947973387887-0.1370709890465467.777591255167670.159479733878875
637.77.77532337732743-0.01363859958004597.638315222252610.0753233773274324
647.57.264436764232930.2081683907348567.52739484503222-0.235563235767072
657.26.803550187898240.1799753442899447.41647446781182-0.396449812101762
666.96.424032048631010.02963819334043417.34632975802856-0.475967951368989
676.66.0645139093638-0.1406989576090897.27618504824529-0.535486090636204
686.56.15413198267592-0.3927404712941267.2386084886182-0.345868017324079
696.66.41374990894874-0.414781837939867.20103192899112-0.186250091051258
707.77.952353925111340.2528249003532517.194821174535410.252353925111342
7188.490958073609310.3204315063109927.18861042007970.49095807360931
727.78.046702974832980.1483957558296237.20490126933740.346702974832975
737.37.41931117169427-0.04050329028937447.22119211859510.119311171694269
7476.90189050708138-0.1370709890465467.23518048196516-0.0981094929186179
7576.76446975424482-0.01363859958004597.24916884533522-0.235530245755179
767.37.140471598947180.2081683907348567.25136001031796-0.159528401052818
777.37.166473480409360.1799753442899447.2535511753007-0.133526519590641
787.16.886677746323550.02963819334043417.28368406033601-0.213322253676449
797.17.02688201223776-0.1406989576090897.31381694537133-0.0731179877622434
8076.99207376736596-0.3927404712941267.40066670392816-0.00792623263403858
8176.92726537545486-0.414781837939867.487516462485-0.0727346245451361
827.57.145395508216930.2528249003532517.60177959142982-0.354604491783072
837.87.563525773314360.3204315063109927.71604272037465-0.236474226685638
847.97.82413056973180.1483957558296237.82747367443857-0.0758694302681979
858.18.30159866178687-0.04050329028937447.93890462850250.201598661786869
868.38.69872259418697-0.1370709890465468.038348394859580.398722594186971
878.48.6758464383634-0.01363859958004598.137792161216650.2758464383634
888.68.774773423428960.2081683907348568.217058185836180.174773423428965
898.58.523700445254350.1799753442899448.296324210455710.0237004452543452
908.48.427009046882360.02963819334043418.343352759777210.0270090468823572
918.38.35031764851038-0.1406989576090898.390381309098710.0503176485103811
9287.97933572976878-0.3927404712941268.41340474152534-0.0206642702312188
9387.97835366398788-0.414781837939868.43642817395198-0.0216463360121182
948.78.692436379296550.2528249003532518.4547387203502-0.00756362070344707
958.78.606519226940590.3204315063109928.47304926674841-0.0934807730594063
968.68.562418058717250.1483957558296238.48918618545313-0.0375819412827525
978.58.53518018613153-0.04050329028937448.505323104157840.0351801861315302
988.58.62134988616211-0.1370709890465468.515721102884430.121349886162115
998.68.68751949796903-0.01363859958004598.526119101611020.0875194979690264
1008.88.862752960337060.2081683907348568.529078648928080.0627529603370593
1018.78.687986459464910.1799753442899448.53203819624515-0.0120135405350936
1028.68.640257708055660.02963819334043418.53010409860390.0402577080556625
1038.48.41252895664643-0.1406989576090898.528170000962660.0125289566464311
1048.18.06584297296624-0.3927404712941268.52689749832789-0.0341570270337641
1058.18.08915684224674-0.414781837939868.52562499569312-0.0108431577532588
1068.78.617619908711250.2528249003532518.5295551909355-0.0823800912887531
1078.78.546083107511120.3204315063109928.53348538617788-0.153916892488878
1088.68.50794655178160.1483957558296238.54365769238877-0.0920534482183974
1098.68.68667329168971-0.04050329028937448.553829998599660.0866732916897099
1108.58.56675175577433-0.1370709890465468.570319233272220.0667517557743285
1118.68.62683013163528-0.01363859958004598.586808467944770.0268301316352755
1128.88.790046643224150.2081683907348568.60178496604099-0.00995335677584919
1138.88.803263191572840.1799753442899448.616761464137220.00326319157283983
1148.78.740210043953170.02963819334043418.630151762706390.0402100439531754
1158.58.49715689633353-0.1406989576090898.64354206127556-0.00284310366647489
1168.38.33645738162536-0.3927404712941268.656283089668770.0364573816253575
1178.38.34575771987789-0.414781837939868.669024118061970.0457577198778889
1188.98.866218931136190.2528249003532518.68095616851056-0.03378106886381
11998.986680274729860.3204315063109928.69288821895915-0.0133197252701418
1208.88.747531080715910.1483957558296238.70407316345447-0.0524689192840899

\begin{tabular}{lllllllll}
\hline
Seasonal Decomposition by Loess - Time Series Components \tabularnewline
t & Observed & Fitted & Seasonal & Trend & Remainder \tabularnewline
1 & 8.5 & 8.35924928022084 & -0.0405032902893744 & 8.68125401006853 & -0.140750719779158 \tabularnewline
2 & 8.4 & 8.30462895061919 & -0.137070989046546 & 8.63244203842736 & -0.0953710493808106 \tabularnewline
3 & 8.5 & 8.43000853279386 & -0.0136385995800459 & 8.58363006678618 & -0.069991467206135 \tabularnewline
4 & 8.7 & 8.6604043095067 & 0.208168390734856 & 8.53142729975844 & -0.0395956904932948 \tabularnewline
5 & 8.7 & 8.74080012297936 & 0.179975344289944 & 8.4792245327307 & 0.0408001229793591 \tabularnewline
6 & 8.6 & 8.7446559878557 & 0.0296381933404341 & 8.42570581880387 & 0.144655987855696 \tabularnewline
7 & 8.5 & 8.76851185273204 & -0.140698957609089 & 8.37218710487705 & 0.268511852732043 \tabularnewline
8 & 8.3 & 8.67210388607551 & -0.392740471294126 & 8.32063658521862 & 0.372103886075509 \tabularnewline
9 & 8 & 8.14569577237967 & -0.41478183793986 & 8.26908606556019 & 0.145695772379671 \tabularnewline
10 & 8.2 & 7.93643210668518 & 0.252824900353251 & 8.21074299296157 & -0.263567893314819 \tabularnewline
11 & 8.1 & 7.72716857332606 & 0.320431506310992 & 8.15239992036294 & -0.372831426673937 \tabularnewline
12 & 8.1 & 7.9575374054781 & 0.148395755829623 & 8.09406683869227 & -0.142462594521898 \tabularnewline
13 & 8 & 8.00476953326777 & -0.0405032902893744 & 8.0357337570216 & 0.00476953326776908 \tabularnewline
14 & 7.9 & 7.94787073003599 & -0.137070989046546 & 7.98920025901056 & 0.0478707300359851 \tabularnewline
15 & 7.9 & 7.87097183858053 & -0.0136385995800459 & 7.94266676099952 & -0.029028161419471 \tabularnewline
16 & 8 & 7.90165036829973 & 0.208168390734856 & 7.89018124096541 & -0.0983496317002697 \tabularnewline
17 & 8 & 7.98232893477875 & 0.179975344289944 & 7.83769572093131 & -0.0176710652212524 \tabularnewline
18 & 7.9 & 8.0077938631139 & 0.0296381933404341 & 7.76256794354566 & 0.107793863113903 \tabularnewline
19 & 8 & 8.45325879144907 & -0.140698957609089 & 7.68744016616002 & 0.45325879144907 \tabularnewline
20 & 7.7 & 8.18761735876515 & -0.392740471294126 & 7.60512311252897 & 0.487617358765153 \tabularnewline
21 & 7.2 & 7.29197577904193 & -0.41478183793986 & 7.52280605889793 & 0.0919757790419338 \tabularnewline
22 & 7.5 & 7.30628378387541 & 0.252824900353251 & 7.44089131577134 & -0.193716216124591 \tabularnewline
23 & 7.3 & 6.92059192104425 & 0.320431506310992 & 7.35897657264475 & -0.379408078955746 \tabularnewline
24 & 7 & 6.58923197500238 & 0.148395755829623 & 7.26237226916799 & -0.410768024997617 \tabularnewline
25 & 7 & 6.87473532459814 & -0.0405032902893744 & 7.16576796569123 & -0.12526467540186 \tabularnewline
26 & 7 & 7.05359736174598 & -0.137070989046546 & 7.08347362730057 & 0.0535973617459797 \tabularnewline
27 & 7.2 & 7.41245931067015 & -0.0136385995800459 & 7.0011792889099 & 0.212459310670148 \tabularnewline
28 & 7.3 & 7.40809629171493 & 0.208168390734856 & 6.98373531755021 & 0.108096291714934 \tabularnewline
29 & 7.1 & 7.05373330951953 & 0.179975344289944 & 6.96629134619052 & -0.0462666904804649 \tabularnewline
30 & 6.8 & 6.59019913447002 & 0.0296381933404341 & 6.98016267218955 & -0.209800865529982 \tabularnewline
31 & 6.4 & 5.94666495942051 & -0.140698957609089 & 6.99403399818858 & -0.453335040579486 \tabularnewline
32 & 6.1 & 5.59392637584941 & -0.392740471294126 & 6.99881409544471 & -0.506073624150588 \tabularnewline
33 & 6.5 & 6.41118764523901 & -0.41478183793986 & 7.00359419270085 & -0.0888123547609894 \tabularnewline
34 & 7.7 & 8.1105417545342 & 0.252824900353251 & 7.03663334511255 & 0.410541754534201 \tabularnewline
35 & 7.9 & 8.40989599616476 & 0.320431506310992 & 7.06967249752425 & 0.509895996164761 \tabularnewline
36 & 7.5 & 7.70218850478718 & 0.148395755829623 & 7.14941573938319 & 0.202188504787184 \tabularnewline
37 & 6.9 & 6.61134430904724 & -0.0405032902893744 & 7.22915898124214 & -0.288655690952764 \tabularnewline
38 & 6.6 & 6.02552913251549 & -0.137070989046546 & 7.31154185653106 & -0.574470867484513 \tabularnewline
39 & 6.9 & 6.41971386776007 & -0.0136385995800459 & 7.39392473181998 & -0.480286132239933 \tabularnewline
40 & 7.7 & 7.73473794233928 & 0.208168390734856 & 7.45709366692587 & 0.0347379423392757 \tabularnewline
41 & 8 & 8.2997620536783 & 0.179975344289944 & 7.52026260203176 & 0.299762053678299 \tabularnewline
42 & 8 & 8.37863579864115 & 0.0296381933404341 & 7.59172600801842 & 0.378635798641149 \tabularnewline
43 & 7.7 & 7.87750954360401 & -0.140698957609089 & 7.66318941400508 & 0.17750954360401 \tabularnewline
44 & 7.3 & 7.24513694359027 & -0.392740471294126 & 7.74760352770385 & -0.0548630564097259 \tabularnewline
45 & 7.4 & 7.38276419653724 & -0.41478183793986 & 7.83201764140262 & -0.0172358034627642 \tabularnewline
46 & 8.1 & 8.04460037883523 & 0.252824900353251 & 7.90257472081151 & -0.0553996211647654 \tabularnewline
47 & 8.3 & 8.3064366934686 & 0.320431506310992 & 7.9731318002204 & 0.00643669346860509 \tabularnewline
48 & 8.1 & 8.02032467994468 & 0.148395755829623 & 8.0312795642257 & -0.0796753200553244 \tabularnewline
49 & 7.9 & 7.75107596205838 & -0.0405032902893744 & 8.089427328231 & -0.148924037941622 \tabularnewline
50 & 7.9 & 7.78961932054654 & -0.137070989046546 & 8.14745166850001 & -0.11038067945346 \tabularnewline
51 & 8.3 & 8.40816259081103 & -0.0136385995800459 & 8.20547600876901 & 0.108162590811032 \tabularnewline
52 & 8.6 & 8.73550947370773 & 0.208168390734856 & 8.25632213555741 & 0.135509473707732 \tabularnewline
53 & 8.7 & 8.91285639336424 & 0.179975344289944 & 8.30716826234581 & 0.212856393364245 \tabularnewline
54 & 8.5 & 8.63463446827082 & 0.0296381933404341 & 8.33572733838874 & 0.134634468270823 \tabularnewline
55 & 8.3 & 8.37641254317742 & -0.140698957609089 & 8.36428641443167 & 0.0764125431774154 \tabularnewline
56 & 8 & 8.04500205165404 & -0.392740471294126 & 8.34773841964009 & 0.0450020516540377 \tabularnewline
57 & 8 & 8.08359141309136 & -0.41478183793986 & 8.3311904248485 & 0.0835914130913586 \tabularnewline
58 & 8.8 & 9.09547599289623 & 0.252824900353251 & 8.25169910675052 & 0.295475992896232 \tabularnewline
59 & 8.7 & 8.90736070503647 & 0.320431506310992 & 8.17220778865254 & 0.207360705036471 \tabularnewline
60 & 8.5 & 8.80706670580274 & 0.148395755829623 & 8.04453753836763 & 0.307066705802745 \tabularnewline
61 & 8.1 & 8.32363600220665 & -0.0405032902893744 & 7.91686728808273 & 0.223636002206646 \tabularnewline
62 & 7.8 & 7.95947973387887 & -0.137070989046546 & 7.77759125516767 & 0.159479733878875 \tabularnewline
63 & 7.7 & 7.77532337732743 & -0.0136385995800459 & 7.63831522225261 & 0.0753233773274324 \tabularnewline
64 & 7.5 & 7.26443676423293 & 0.208168390734856 & 7.52739484503222 & -0.235563235767072 \tabularnewline
65 & 7.2 & 6.80355018789824 & 0.179975344289944 & 7.41647446781182 & -0.396449812101762 \tabularnewline
66 & 6.9 & 6.42403204863101 & 0.0296381933404341 & 7.34632975802856 & -0.475967951368989 \tabularnewline
67 & 6.6 & 6.0645139093638 & -0.140698957609089 & 7.27618504824529 & -0.535486090636204 \tabularnewline
68 & 6.5 & 6.15413198267592 & -0.392740471294126 & 7.2386084886182 & -0.345868017324079 \tabularnewline
69 & 6.6 & 6.41374990894874 & -0.41478183793986 & 7.20103192899112 & -0.186250091051258 \tabularnewline
70 & 7.7 & 7.95235392511134 & 0.252824900353251 & 7.19482117453541 & 0.252353925111342 \tabularnewline
71 & 8 & 8.49095807360931 & 0.320431506310992 & 7.1886104200797 & 0.49095807360931 \tabularnewline
72 & 7.7 & 8.04670297483298 & 0.148395755829623 & 7.2049012693374 & 0.346702974832975 \tabularnewline
73 & 7.3 & 7.41931117169427 & -0.0405032902893744 & 7.2211921185951 & 0.119311171694269 \tabularnewline
74 & 7 & 6.90189050708138 & -0.137070989046546 & 7.23518048196516 & -0.0981094929186179 \tabularnewline
75 & 7 & 6.76446975424482 & -0.0136385995800459 & 7.24916884533522 & -0.235530245755179 \tabularnewline
76 & 7.3 & 7.14047159894718 & 0.208168390734856 & 7.25136001031796 & -0.159528401052818 \tabularnewline
77 & 7.3 & 7.16647348040936 & 0.179975344289944 & 7.2535511753007 & -0.133526519590641 \tabularnewline
78 & 7.1 & 6.88667774632355 & 0.0296381933404341 & 7.28368406033601 & -0.213322253676449 \tabularnewline
79 & 7.1 & 7.02688201223776 & -0.140698957609089 & 7.31381694537133 & -0.0731179877622434 \tabularnewline
80 & 7 & 6.99207376736596 & -0.392740471294126 & 7.40066670392816 & -0.00792623263403858 \tabularnewline
81 & 7 & 6.92726537545486 & -0.41478183793986 & 7.487516462485 & -0.0727346245451361 \tabularnewline
82 & 7.5 & 7.14539550821693 & 0.252824900353251 & 7.60177959142982 & -0.354604491783072 \tabularnewline
83 & 7.8 & 7.56352577331436 & 0.320431506310992 & 7.71604272037465 & -0.236474226685638 \tabularnewline
84 & 7.9 & 7.8241305697318 & 0.148395755829623 & 7.82747367443857 & -0.0758694302681979 \tabularnewline
85 & 8.1 & 8.30159866178687 & -0.0405032902893744 & 7.9389046285025 & 0.201598661786869 \tabularnewline
86 & 8.3 & 8.69872259418697 & -0.137070989046546 & 8.03834839485958 & 0.398722594186971 \tabularnewline
87 & 8.4 & 8.6758464383634 & -0.0136385995800459 & 8.13779216121665 & 0.2758464383634 \tabularnewline
88 & 8.6 & 8.77477342342896 & 0.208168390734856 & 8.21705818583618 & 0.174773423428965 \tabularnewline
89 & 8.5 & 8.52370044525435 & 0.179975344289944 & 8.29632421045571 & 0.0237004452543452 \tabularnewline
90 & 8.4 & 8.42700904688236 & 0.0296381933404341 & 8.34335275977721 & 0.0270090468823572 \tabularnewline
91 & 8.3 & 8.35031764851038 & -0.140698957609089 & 8.39038130909871 & 0.0503176485103811 \tabularnewline
92 & 8 & 7.97933572976878 & -0.392740471294126 & 8.41340474152534 & -0.0206642702312188 \tabularnewline
93 & 8 & 7.97835366398788 & -0.41478183793986 & 8.43642817395198 & -0.0216463360121182 \tabularnewline
94 & 8.7 & 8.69243637929655 & 0.252824900353251 & 8.4547387203502 & -0.00756362070344707 \tabularnewline
95 & 8.7 & 8.60651922694059 & 0.320431506310992 & 8.47304926674841 & -0.0934807730594063 \tabularnewline
96 & 8.6 & 8.56241805871725 & 0.148395755829623 & 8.48918618545313 & -0.0375819412827525 \tabularnewline
97 & 8.5 & 8.53518018613153 & -0.0405032902893744 & 8.50532310415784 & 0.0351801861315302 \tabularnewline
98 & 8.5 & 8.62134988616211 & -0.137070989046546 & 8.51572110288443 & 0.121349886162115 \tabularnewline
99 & 8.6 & 8.68751949796903 & -0.0136385995800459 & 8.52611910161102 & 0.0875194979690264 \tabularnewline
100 & 8.8 & 8.86275296033706 & 0.208168390734856 & 8.52907864892808 & 0.0627529603370593 \tabularnewline
101 & 8.7 & 8.68798645946491 & 0.179975344289944 & 8.53203819624515 & -0.0120135405350936 \tabularnewline
102 & 8.6 & 8.64025770805566 & 0.0296381933404341 & 8.5301040986039 & 0.0402577080556625 \tabularnewline
103 & 8.4 & 8.41252895664643 & -0.140698957609089 & 8.52817000096266 & 0.0125289566464311 \tabularnewline
104 & 8.1 & 8.06584297296624 & -0.392740471294126 & 8.52689749832789 & -0.0341570270337641 \tabularnewline
105 & 8.1 & 8.08915684224674 & -0.41478183793986 & 8.52562499569312 & -0.0108431577532588 \tabularnewline
106 & 8.7 & 8.61761990871125 & 0.252824900353251 & 8.5295551909355 & -0.0823800912887531 \tabularnewline
107 & 8.7 & 8.54608310751112 & 0.320431506310992 & 8.53348538617788 & -0.153916892488878 \tabularnewline
108 & 8.6 & 8.5079465517816 & 0.148395755829623 & 8.54365769238877 & -0.0920534482183974 \tabularnewline
109 & 8.6 & 8.68667329168971 & -0.0405032902893744 & 8.55382999859966 & 0.0866732916897099 \tabularnewline
110 & 8.5 & 8.56675175577433 & -0.137070989046546 & 8.57031923327222 & 0.0667517557743285 \tabularnewline
111 & 8.6 & 8.62683013163528 & -0.0136385995800459 & 8.58680846794477 & 0.0268301316352755 \tabularnewline
112 & 8.8 & 8.79004664322415 & 0.208168390734856 & 8.60178496604099 & -0.00995335677584919 \tabularnewline
113 & 8.8 & 8.80326319157284 & 0.179975344289944 & 8.61676146413722 & 0.00326319157283983 \tabularnewline
114 & 8.7 & 8.74021004395317 & 0.0296381933404341 & 8.63015176270639 & 0.0402100439531754 \tabularnewline
115 & 8.5 & 8.49715689633353 & -0.140698957609089 & 8.64354206127556 & -0.00284310366647489 \tabularnewline
116 & 8.3 & 8.33645738162536 & -0.392740471294126 & 8.65628308966877 & 0.0364573816253575 \tabularnewline
117 & 8.3 & 8.34575771987789 & -0.41478183793986 & 8.66902411806197 & 0.0457577198778889 \tabularnewline
118 & 8.9 & 8.86621893113619 & 0.252824900353251 & 8.68095616851056 & -0.03378106886381 \tabularnewline
119 & 9 & 8.98668027472986 & 0.320431506310992 & 8.69288821895915 & -0.0133197252701418 \tabularnewline
120 & 8.8 & 8.74753108071591 & 0.148395755829623 & 8.70407316345447 & -0.0524689192840899 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=285639&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]8.5[/C][C]8.35924928022084[/C][C]-0.0405032902893744[/C][C]8.68125401006853[/C][C]-0.140750719779158[/C][/ROW]
[ROW][C]2[/C][C]8.4[/C][C]8.30462895061919[/C][C]-0.137070989046546[/C][C]8.63244203842736[/C][C]-0.0953710493808106[/C][/ROW]
[ROW][C]3[/C][C]8.5[/C][C]8.43000853279386[/C][C]-0.0136385995800459[/C][C]8.58363006678618[/C][C]-0.069991467206135[/C][/ROW]
[ROW][C]4[/C][C]8.7[/C][C]8.6604043095067[/C][C]0.208168390734856[/C][C]8.53142729975844[/C][C]-0.0395956904932948[/C][/ROW]
[ROW][C]5[/C][C]8.7[/C][C]8.74080012297936[/C][C]0.179975344289944[/C][C]8.4792245327307[/C][C]0.0408001229793591[/C][/ROW]
[ROW][C]6[/C][C]8.6[/C][C]8.7446559878557[/C][C]0.0296381933404341[/C][C]8.42570581880387[/C][C]0.144655987855696[/C][/ROW]
[ROW][C]7[/C][C]8.5[/C][C]8.76851185273204[/C][C]-0.140698957609089[/C][C]8.37218710487705[/C][C]0.268511852732043[/C][/ROW]
[ROW][C]8[/C][C]8.3[/C][C]8.67210388607551[/C][C]-0.392740471294126[/C][C]8.32063658521862[/C][C]0.372103886075509[/C][/ROW]
[ROW][C]9[/C][C]8[/C][C]8.14569577237967[/C][C]-0.41478183793986[/C][C]8.26908606556019[/C][C]0.145695772379671[/C][/ROW]
[ROW][C]10[/C][C]8.2[/C][C]7.93643210668518[/C][C]0.252824900353251[/C][C]8.21074299296157[/C][C]-0.263567893314819[/C][/ROW]
[ROW][C]11[/C][C]8.1[/C][C]7.72716857332606[/C][C]0.320431506310992[/C][C]8.15239992036294[/C][C]-0.372831426673937[/C][/ROW]
[ROW][C]12[/C][C]8.1[/C][C]7.9575374054781[/C][C]0.148395755829623[/C][C]8.09406683869227[/C][C]-0.142462594521898[/C][/ROW]
[ROW][C]13[/C][C]8[/C][C]8.00476953326777[/C][C]-0.0405032902893744[/C][C]8.0357337570216[/C][C]0.00476953326776908[/C][/ROW]
[ROW][C]14[/C][C]7.9[/C][C]7.94787073003599[/C][C]-0.137070989046546[/C][C]7.98920025901056[/C][C]0.0478707300359851[/C][/ROW]
[ROW][C]15[/C][C]7.9[/C][C]7.87097183858053[/C][C]-0.0136385995800459[/C][C]7.94266676099952[/C][C]-0.029028161419471[/C][/ROW]
[ROW][C]16[/C][C]8[/C][C]7.90165036829973[/C][C]0.208168390734856[/C][C]7.89018124096541[/C][C]-0.0983496317002697[/C][/ROW]
[ROW][C]17[/C][C]8[/C][C]7.98232893477875[/C][C]0.179975344289944[/C][C]7.83769572093131[/C][C]-0.0176710652212524[/C][/ROW]
[ROW][C]18[/C][C]7.9[/C][C]8.0077938631139[/C][C]0.0296381933404341[/C][C]7.76256794354566[/C][C]0.107793863113903[/C][/ROW]
[ROW][C]19[/C][C]8[/C][C]8.45325879144907[/C][C]-0.140698957609089[/C][C]7.68744016616002[/C][C]0.45325879144907[/C][/ROW]
[ROW][C]20[/C][C]7.7[/C][C]8.18761735876515[/C][C]-0.392740471294126[/C][C]7.60512311252897[/C][C]0.487617358765153[/C][/ROW]
[ROW][C]21[/C][C]7.2[/C][C]7.29197577904193[/C][C]-0.41478183793986[/C][C]7.52280605889793[/C][C]0.0919757790419338[/C][/ROW]
[ROW][C]22[/C][C]7.5[/C][C]7.30628378387541[/C][C]0.252824900353251[/C][C]7.44089131577134[/C][C]-0.193716216124591[/C][/ROW]
[ROW][C]23[/C][C]7.3[/C][C]6.92059192104425[/C][C]0.320431506310992[/C][C]7.35897657264475[/C][C]-0.379408078955746[/C][/ROW]
[ROW][C]24[/C][C]7[/C][C]6.58923197500238[/C][C]0.148395755829623[/C][C]7.26237226916799[/C][C]-0.410768024997617[/C][/ROW]
[ROW][C]25[/C][C]7[/C][C]6.87473532459814[/C][C]-0.0405032902893744[/C][C]7.16576796569123[/C][C]-0.12526467540186[/C][/ROW]
[ROW][C]26[/C][C]7[/C][C]7.05359736174598[/C][C]-0.137070989046546[/C][C]7.08347362730057[/C][C]0.0535973617459797[/C][/ROW]
[ROW][C]27[/C][C]7.2[/C][C]7.41245931067015[/C][C]-0.0136385995800459[/C][C]7.0011792889099[/C][C]0.212459310670148[/C][/ROW]
[ROW][C]28[/C][C]7.3[/C][C]7.40809629171493[/C][C]0.208168390734856[/C][C]6.98373531755021[/C][C]0.108096291714934[/C][/ROW]
[ROW][C]29[/C][C]7.1[/C][C]7.05373330951953[/C][C]0.179975344289944[/C][C]6.96629134619052[/C][C]-0.0462666904804649[/C][/ROW]
[ROW][C]30[/C][C]6.8[/C][C]6.59019913447002[/C][C]0.0296381933404341[/C][C]6.98016267218955[/C][C]-0.209800865529982[/C][/ROW]
[ROW][C]31[/C][C]6.4[/C][C]5.94666495942051[/C][C]-0.140698957609089[/C][C]6.99403399818858[/C][C]-0.453335040579486[/C][/ROW]
[ROW][C]32[/C][C]6.1[/C][C]5.59392637584941[/C][C]-0.392740471294126[/C][C]6.99881409544471[/C][C]-0.506073624150588[/C][/ROW]
[ROW][C]33[/C][C]6.5[/C][C]6.41118764523901[/C][C]-0.41478183793986[/C][C]7.00359419270085[/C][C]-0.0888123547609894[/C][/ROW]
[ROW][C]34[/C][C]7.7[/C][C]8.1105417545342[/C][C]0.252824900353251[/C][C]7.03663334511255[/C][C]0.410541754534201[/C][/ROW]
[ROW][C]35[/C][C]7.9[/C][C]8.40989599616476[/C][C]0.320431506310992[/C][C]7.06967249752425[/C][C]0.509895996164761[/C][/ROW]
[ROW][C]36[/C][C]7.5[/C][C]7.70218850478718[/C][C]0.148395755829623[/C][C]7.14941573938319[/C][C]0.202188504787184[/C][/ROW]
[ROW][C]37[/C][C]6.9[/C][C]6.61134430904724[/C][C]-0.0405032902893744[/C][C]7.22915898124214[/C][C]-0.288655690952764[/C][/ROW]
[ROW][C]38[/C][C]6.6[/C][C]6.02552913251549[/C][C]-0.137070989046546[/C][C]7.31154185653106[/C][C]-0.574470867484513[/C][/ROW]
[ROW][C]39[/C][C]6.9[/C][C]6.41971386776007[/C][C]-0.0136385995800459[/C][C]7.39392473181998[/C][C]-0.480286132239933[/C][/ROW]
[ROW][C]40[/C][C]7.7[/C][C]7.73473794233928[/C][C]0.208168390734856[/C][C]7.45709366692587[/C][C]0.0347379423392757[/C][/ROW]
[ROW][C]41[/C][C]8[/C][C]8.2997620536783[/C][C]0.179975344289944[/C][C]7.52026260203176[/C][C]0.299762053678299[/C][/ROW]
[ROW][C]42[/C][C]8[/C][C]8.37863579864115[/C][C]0.0296381933404341[/C][C]7.59172600801842[/C][C]0.378635798641149[/C][/ROW]
[ROW][C]43[/C][C]7.7[/C][C]7.87750954360401[/C][C]-0.140698957609089[/C][C]7.66318941400508[/C][C]0.17750954360401[/C][/ROW]
[ROW][C]44[/C][C]7.3[/C][C]7.24513694359027[/C][C]-0.392740471294126[/C][C]7.74760352770385[/C][C]-0.0548630564097259[/C][/ROW]
[ROW][C]45[/C][C]7.4[/C][C]7.38276419653724[/C][C]-0.41478183793986[/C][C]7.83201764140262[/C][C]-0.0172358034627642[/C][/ROW]
[ROW][C]46[/C][C]8.1[/C][C]8.04460037883523[/C][C]0.252824900353251[/C][C]7.90257472081151[/C][C]-0.0553996211647654[/C][/ROW]
[ROW][C]47[/C][C]8.3[/C][C]8.3064366934686[/C][C]0.320431506310992[/C][C]7.9731318002204[/C][C]0.00643669346860509[/C][/ROW]
[ROW][C]48[/C][C]8.1[/C][C]8.02032467994468[/C][C]0.148395755829623[/C][C]8.0312795642257[/C][C]-0.0796753200553244[/C][/ROW]
[ROW][C]49[/C][C]7.9[/C][C]7.75107596205838[/C][C]-0.0405032902893744[/C][C]8.089427328231[/C][C]-0.148924037941622[/C][/ROW]
[ROW][C]50[/C][C]7.9[/C][C]7.78961932054654[/C][C]-0.137070989046546[/C][C]8.14745166850001[/C][C]-0.11038067945346[/C][/ROW]
[ROW][C]51[/C][C]8.3[/C][C]8.40816259081103[/C][C]-0.0136385995800459[/C][C]8.20547600876901[/C][C]0.108162590811032[/C][/ROW]
[ROW][C]52[/C][C]8.6[/C][C]8.73550947370773[/C][C]0.208168390734856[/C][C]8.25632213555741[/C][C]0.135509473707732[/C][/ROW]
[ROW][C]53[/C][C]8.7[/C][C]8.91285639336424[/C][C]0.179975344289944[/C][C]8.30716826234581[/C][C]0.212856393364245[/C][/ROW]
[ROW][C]54[/C][C]8.5[/C][C]8.63463446827082[/C][C]0.0296381933404341[/C][C]8.33572733838874[/C][C]0.134634468270823[/C][/ROW]
[ROW][C]55[/C][C]8.3[/C][C]8.37641254317742[/C][C]-0.140698957609089[/C][C]8.36428641443167[/C][C]0.0764125431774154[/C][/ROW]
[ROW][C]56[/C][C]8[/C][C]8.04500205165404[/C][C]-0.392740471294126[/C][C]8.34773841964009[/C][C]0.0450020516540377[/C][/ROW]
[ROW][C]57[/C][C]8[/C][C]8.08359141309136[/C][C]-0.41478183793986[/C][C]8.3311904248485[/C][C]0.0835914130913586[/C][/ROW]
[ROW][C]58[/C][C]8.8[/C][C]9.09547599289623[/C][C]0.252824900353251[/C][C]8.25169910675052[/C][C]0.295475992896232[/C][/ROW]
[ROW][C]59[/C][C]8.7[/C][C]8.90736070503647[/C][C]0.320431506310992[/C][C]8.17220778865254[/C][C]0.207360705036471[/C][/ROW]
[ROW][C]60[/C][C]8.5[/C][C]8.80706670580274[/C][C]0.148395755829623[/C][C]8.04453753836763[/C][C]0.307066705802745[/C][/ROW]
[ROW][C]61[/C][C]8.1[/C][C]8.32363600220665[/C][C]-0.0405032902893744[/C][C]7.91686728808273[/C][C]0.223636002206646[/C][/ROW]
[ROW][C]62[/C][C]7.8[/C][C]7.95947973387887[/C][C]-0.137070989046546[/C][C]7.77759125516767[/C][C]0.159479733878875[/C][/ROW]
[ROW][C]63[/C][C]7.7[/C][C]7.77532337732743[/C][C]-0.0136385995800459[/C][C]7.63831522225261[/C][C]0.0753233773274324[/C][/ROW]
[ROW][C]64[/C][C]7.5[/C][C]7.26443676423293[/C][C]0.208168390734856[/C][C]7.52739484503222[/C][C]-0.235563235767072[/C][/ROW]
[ROW][C]65[/C][C]7.2[/C][C]6.80355018789824[/C][C]0.179975344289944[/C][C]7.41647446781182[/C][C]-0.396449812101762[/C][/ROW]
[ROW][C]66[/C][C]6.9[/C][C]6.42403204863101[/C][C]0.0296381933404341[/C][C]7.34632975802856[/C][C]-0.475967951368989[/C][/ROW]
[ROW][C]67[/C][C]6.6[/C][C]6.0645139093638[/C][C]-0.140698957609089[/C][C]7.27618504824529[/C][C]-0.535486090636204[/C][/ROW]
[ROW][C]68[/C][C]6.5[/C][C]6.15413198267592[/C][C]-0.392740471294126[/C][C]7.2386084886182[/C][C]-0.345868017324079[/C][/ROW]
[ROW][C]69[/C][C]6.6[/C][C]6.41374990894874[/C][C]-0.41478183793986[/C][C]7.20103192899112[/C][C]-0.186250091051258[/C][/ROW]
[ROW][C]70[/C][C]7.7[/C][C]7.95235392511134[/C][C]0.252824900353251[/C][C]7.19482117453541[/C][C]0.252353925111342[/C][/ROW]
[ROW][C]71[/C][C]8[/C][C]8.49095807360931[/C][C]0.320431506310992[/C][C]7.1886104200797[/C][C]0.49095807360931[/C][/ROW]
[ROW][C]72[/C][C]7.7[/C][C]8.04670297483298[/C][C]0.148395755829623[/C][C]7.2049012693374[/C][C]0.346702974832975[/C][/ROW]
[ROW][C]73[/C][C]7.3[/C][C]7.41931117169427[/C][C]-0.0405032902893744[/C][C]7.2211921185951[/C][C]0.119311171694269[/C][/ROW]
[ROW][C]74[/C][C]7[/C][C]6.90189050708138[/C][C]-0.137070989046546[/C][C]7.23518048196516[/C][C]-0.0981094929186179[/C][/ROW]
[ROW][C]75[/C][C]7[/C][C]6.76446975424482[/C][C]-0.0136385995800459[/C][C]7.24916884533522[/C][C]-0.235530245755179[/C][/ROW]
[ROW][C]76[/C][C]7.3[/C][C]7.14047159894718[/C][C]0.208168390734856[/C][C]7.25136001031796[/C][C]-0.159528401052818[/C][/ROW]
[ROW][C]77[/C][C]7.3[/C][C]7.16647348040936[/C][C]0.179975344289944[/C][C]7.2535511753007[/C][C]-0.133526519590641[/C][/ROW]
[ROW][C]78[/C][C]7.1[/C][C]6.88667774632355[/C][C]0.0296381933404341[/C][C]7.28368406033601[/C][C]-0.213322253676449[/C][/ROW]
[ROW][C]79[/C][C]7.1[/C][C]7.02688201223776[/C][C]-0.140698957609089[/C][C]7.31381694537133[/C][C]-0.0731179877622434[/C][/ROW]
[ROW][C]80[/C][C]7[/C][C]6.99207376736596[/C][C]-0.392740471294126[/C][C]7.40066670392816[/C][C]-0.00792623263403858[/C][/ROW]
[ROW][C]81[/C][C]7[/C][C]6.92726537545486[/C][C]-0.41478183793986[/C][C]7.487516462485[/C][C]-0.0727346245451361[/C][/ROW]
[ROW][C]82[/C][C]7.5[/C][C]7.14539550821693[/C][C]0.252824900353251[/C][C]7.60177959142982[/C][C]-0.354604491783072[/C][/ROW]
[ROW][C]83[/C][C]7.8[/C][C]7.56352577331436[/C][C]0.320431506310992[/C][C]7.71604272037465[/C][C]-0.236474226685638[/C][/ROW]
[ROW][C]84[/C][C]7.9[/C][C]7.8241305697318[/C][C]0.148395755829623[/C][C]7.82747367443857[/C][C]-0.0758694302681979[/C][/ROW]
[ROW][C]85[/C][C]8.1[/C][C]8.30159866178687[/C][C]-0.0405032902893744[/C][C]7.9389046285025[/C][C]0.201598661786869[/C][/ROW]
[ROW][C]86[/C][C]8.3[/C][C]8.69872259418697[/C][C]-0.137070989046546[/C][C]8.03834839485958[/C][C]0.398722594186971[/C][/ROW]
[ROW][C]87[/C][C]8.4[/C][C]8.6758464383634[/C][C]-0.0136385995800459[/C][C]8.13779216121665[/C][C]0.2758464383634[/C][/ROW]
[ROW][C]88[/C][C]8.6[/C][C]8.77477342342896[/C][C]0.208168390734856[/C][C]8.21705818583618[/C][C]0.174773423428965[/C][/ROW]
[ROW][C]89[/C][C]8.5[/C][C]8.52370044525435[/C][C]0.179975344289944[/C][C]8.29632421045571[/C][C]0.0237004452543452[/C][/ROW]
[ROW][C]90[/C][C]8.4[/C][C]8.42700904688236[/C][C]0.0296381933404341[/C][C]8.34335275977721[/C][C]0.0270090468823572[/C][/ROW]
[ROW][C]91[/C][C]8.3[/C][C]8.35031764851038[/C][C]-0.140698957609089[/C][C]8.39038130909871[/C][C]0.0503176485103811[/C][/ROW]
[ROW][C]92[/C][C]8[/C][C]7.97933572976878[/C][C]-0.392740471294126[/C][C]8.41340474152534[/C][C]-0.0206642702312188[/C][/ROW]
[ROW][C]93[/C][C]8[/C][C]7.97835366398788[/C][C]-0.41478183793986[/C][C]8.43642817395198[/C][C]-0.0216463360121182[/C][/ROW]
[ROW][C]94[/C][C]8.7[/C][C]8.69243637929655[/C][C]0.252824900353251[/C][C]8.4547387203502[/C][C]-0.00756362070344707[/C][/ROW]
[ROW][C]95[/C][C]8.7[/C][C]8.60651922694059[/C][C]0.320431506310992[/C][C]8.47304926674841[/C][C]-0.0934807730594063[/C][/ROW]
[ROW][C]96[/C][C]8.6[/C][C]8.56241805871725[/C][C]0.148395755829623[/C][C]8.48918618545313[/C][C]-0.0375819412827525[/C][/ROW]
[ROW][C]97[/C][C]8.5[/C][C]8.53518018613153[/C][C]-0.0405032902893744[/C][C]8.50532310415784[/C][C]0.0351801861315302[/C][/ROW]
[ROW][C]98[/C][C]8.5[/C][C]8.62134988616211[/C][C]-0.137070989046546[/C][C]8.51572110288443[/C][C]0.121349886162115[/C][/ROW]
[ROW][C]99[/C][C]8.6[/C][C]8.68751949796903[/C][C]-0.0136385995800459[/C][C]8.52611910161102[/C][C]0.0875194979690264[/C][/ROW]
[ROW][C]100[/C][C]8.8[/C][C]8.86275296033706[/C][C]0.208168390734856[/C][C]8.52907864892808[/C][C]0.0627529603370593[/C][/ROW]
[ROW][C]101[/C][C]8.7[/C][C]8.68798645946491[/C][C]0.179975344289944[/C][C]8.53203819624515[/C][C]-0.0120135405350936[/C][/ROW]
[ROW][C]102[/C][C]8.6[/C][C]8.64025770805566[/C][C]0.0296381933404341[/C][C]8.5301040986039[/C][C]0.0402577080556625[/C][/ROW]
[ROW][C]103[/C][C]8.4[/C][C]8.41252895664643[/C][C]-0.140698957609089[/C][C]8.52817000096266[/C][C]0.0125289566464311[/C][/ROW]
[ROW][C]104[/C][C]8.1[/C][C]8.06584297296624[/C][C]-0.392740471294126[/C][C]8.52689749832789[/C][C]-0.0341570270337641[/C][/ROW]
[ROW][C]105[/C][C]8.1[/C][C]8.08915684224674[/C][C]-0.41478183793986[/C][C]8.52562499569312[/C][C]-0.0108431577532588[/C][/ROW]
[ROW][C]106[/C][C]8.7[/C][C]8.61761990871125[/C][C]0.252824900353251[/C][C]8.5295551909355[/C][C]-0.0823800912887531[/C][/ROW]
[ROW][C]107[/C][C]8.7[/C][C]8.54608310751112[/C][C]0.320431506310992[/C][C]8.53348538617788[/C][C]-0.153916892488878[/C][/ROW]
[ROW][C]108[/C][C]8.6[/C][C]8.5079465517816[/C][C]0.148395755829623[/C][C]8.54365769238877[/C][C]-0.0920534482183974[/C][/ROW]
[ROW][C]109[/C][C]8.6[/C][C]8.68667329168971[/C][C]-0.0405032902893744[/C][C]8.55382999859966[/C][C]0.0866732916897099[/C][/ROW]
[ROW][C]110[/C][C]8.5[/C][C]8.56675175577433[/C][C]-0.137070989046546[/C][C]8.57031923327222[/C][C]0.0667517557743285[/C][/ROW]
[ROW][C]111[/C][C]8.6[/C][C]8.62683013163528[/C][C]-0.0136385995800459[/C][C]8.58680846794477[/C][C]0.0268301316352755[/C][/ROW]
[ROW][C]112[/C][C]8.8[/C][C]8.79004664322415[/C][C]0.208168390734856[/C][C]8.60178496604099[/C][C]-0.00995335677584919[/C][/ROW]
[ROW][C]113[/C][C]8.8[/C][C]8.80326319157284[/C][C]0.179975344289944[/C][C]8.61676146413722[/C][C]0.00326319157283983[/C][/ROW]
[ROW][C]114[/C][C]8.7[/C][C]8.74021004395317[/C][C]0.0296381933404341[/C][C]8.63015176270639[/C][C]0.0402100439531754[/C][/ROW]
[ROW][C]115[/C][C]8.5[/C][C]8.49715689633353[/C][C]-0.140698957609089[/C][C]8.64354206127556[/C][C]-0.00284310366647489[/C][/ROW]
[ROW][C]116[/C][C]8.3[/C][C]8.33645738162536[/C][C]-0.392740471294126[/C][C]8.65628308966877[/C][C]0.0364573816253575[/C][/ROW]
[ROW][C]117[/C][C]8.3[/C][C]8.34575771987789[/C][C]-0.41478183793986[/C][C]8.66902411806197[/C][C]0.0457577198778889[/C][/ROW]
[ROW][C]118[/C][C]8.9[/C][C]8.86621893113619[/C][C]0.252824900353251[/C][C]8.68095616851056[/C][C]-0.03378106886381[/C][/ROW]
[ROW][C]119[/C][C]9[/C][C]8.98668027472986[/C][C]0.320431506310992[/C][C]8.69288821895915[/C][C]-0.0133197252701418[/C][/ROW]
[ROW][C]120[/C][C]8.8[/C][C]8.74753108071591[/C][C]0.148395755829623[/C][C]8.70407316345447[/C][C]-0.0524689192840899[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=285639&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=285639&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
18.58.35924928022084-0.04050329028937448.68125401006853-0.140750719779158
28.48.30462895061919-0.1370709890465468.63244203842736-0.0953710493808106
38.58.43000853279386-0.01363859958004598.58363006678618-0.069991467206135
48.78.66040430950670.2081683907348568.53142729975844-0.0395956904932948
58.78.740800122979360.1799753442899448.47922453273070.0408001229793591
68.68.74465598785570.02963819334043418.425705818803870.144655987855696
78.58.76851185273204-0.1406989576090898.372187104877050.268511852732043
88.38.67210388607551-0.3927404712941268.320636585218620.372103886075509
988.14569577237967-0.414781837939868.269086065560190.145695772379671
108.27.936432106685180.2528249003532518.21074299296157-0.263567893314819
118.17.727168573326060.3204315063109928.15239992036294-0.372831426673937
128.17.95753740547810.1483957558296238.09406683869227-0.142462594521898
1388.00476953326777-0.04050329028937448.03573375702160.00476953326776908
147.97.94787073003599-0.1370709890465467.989200259010560.0478707300359851
157.97.87097183858053-0.01363859958004597.94266676099952-0.029028161419471
1687.901650368299730.2081683907348567.89018124096541-0.0983496317002697
1787.982328934778750.1799753442899447.83769572093131-0.0176710652212524
187.98.00779386311390.02963819334043417.762567943545660.107793863113903
1988.45325879144907-0.1406989576090897.687440166160020.45325879144907
207.78.18761735876515-0.3927404712941267.605123112528970.487617358765153
217.27.29197577904193-0.414781837939867.522806058897930.0919757790419338
227.57.306283783875410.2528249003532517.44089131577134-0.193716216124591
237.36.920591921044250.3204315063109927.35897657264475-0.379408078955746
2476.589231975002380.1483957558296237.26237226916799-0.410768024997617
2576.87473532459814-0.04050329028937447.16576796569123-0.12526467540186
2677.05359736174598-0.1370709890465467.083473627300570.0535973617459797
277.27.41245931067015-0.01363859958004597.00117928890990.212459310670148
287.37.408096291714930.2081683907348566.983735317550210.108096291714934
297.17.053733309519530.1799753442899446.96629134619052-0.0462666904804649
306.86.590199134470020.02963819334043416.98016267218955-0.209800865529982
316.45.94666495942051-0.1406989576090896.99403399818858-0.453335040579486
326.15.59392637584941-0.3927404712941266.99881409544471-0.506073624150588
336.56.41118764523901-0.414781837939867.00359419270085-0.0888123547609894
347.78.11054175453420.2528249003532517.036633345112550.410541754534201
357.98.409895996164760.3204315063109927.069672497524250.509895996164761
367.57.702188504787180.1483957558296237.149415739383190.202188504787184
376.96.61134430904724-0.04050329028937447.22915898124214-0.288655690952764
386.66.02552913251549-0.1370709890465467.31154185653106-0.574470867484513
396.96.41971386776007-0.01363859958004597.39392473181998-0.480286132239933
407.77.734737942339280.2081683907348567.457093666925870.0347379423392757
4188.29976205367830.1799753442899447.520262602031760.299762053678299
4288.378635798641150.02963819334043417.591726008018420.378635798641149
437.77.87750954360401-0.1406989576090897.663189414005080.17750954360401
447.37.24513694359027-0.3927404712941267.74760352770385-0.0548630564097259
457.47.38276419653724-0.414781837939867.83201764140262-0.0172358034627642
468.18.044600378835230.2528249003532517.90257472081151-0.0553996211647654
478.38.30643669346860.3204315063109927.97313180022040.00643669346860509
488.18.020324679944680.1483957558296238.0312795642257-0.0796753200553244
497.97.75107596205838-0.04050329028937448.089427328231-0.148924037941622
507.97.78961932054654-0.1370709890465468.14745166850001-0.11038067945346
518.38.40816259081103-0.01363859958004598.205476008769010.108162590811032
528.68.735509473707730.2081683907348568.256322135557410.135509473707732
538.78.912856393364240.1799753442899448.307168262345810.212856393364245
548.58.634634468270820.02963819334043418.335727338388740.134634468270823
558.38.37641254317742-0.1406989576090898.364286414431670.0764125431774154
5688.04500205165404-0.3927404712941268.347738419640090.0450020516540377
5788.08359141309136-0.414781837939868.33119042484850.0835914130913586
588.89.095475992896230.2528249003532518.251699106750520.295475992896232
598.78.907360705036470.3204315063109928.172207788652540.207360705036471
608.58.807066705802740.1483957558296238.044537538367630.307066705802745
618.18.32363600220665-0.04050329028937447.916867288082730.223636002206646
627.87.95947973387887-0.1370709890465467.777591255167670.159479733878875
637.77.77532337732743-0.01363859958004597.638315222252610.0753233773274324
647.57.264436764232930.2081683907348567.52739484503222-0.235563235767072
657.26.803550187898240.1799753442899447.41647446781182-0.396449812101762
666.96.424032048631010.02963819334043417.34632975802856-0.475967951368989
676.66.0645139093638-0.1406989576090897.27618504824529-0.535486090636204
686.56.15413198267592-0.3927404712941267.2386084886182-0.345868017324079
696.66.41374990894874-0.414781837939867.20103192899112-0.186250091051258
707.77.952353925111340.2528249003532517.194821174535410.252353925111342
7188.490958073609310.3204315063109927.18861042007970.49095807360931
727.78.046702974832980.1483957558296237.20490126933740.346702974832975
737.37.41931117169427-0.04050329028937447.22119211859510.119311171694269
7476.90189050708138-0.1370709890465467.23518048196516-0.0981094929186179
7576.76446975424482-0.01363859958004597.24916884533522-0.235530245755179
767.37.140471598947180.2081683907348567.25136001031796-0.159528401052818
777.37.166473480409360.1799753442899447.2535511753007-0.133526519590641
787.16.886677746323550.02963819334043417.28368406033601-0.213322253676449
797.17.02688201223776-0.1406989576090897.31381694537133-0.0731179877622434
8076.99207376736596-0.3927404712941267.40066670392816-0.00792623263403858
8176.92726537545486-0.414781837939867.487516462485-0.0727346245451361
827.57.145395508216930.2528249003532517.60177959142982-0.354604491783072
837.87.563525773314360.3204315063109927.71604272037465-0.236474226685638
847.97.82413056973180.1483957558296237.82747367443857-0.0758694302681979
858.18.30159866178687-0.04050329028937447.93890462850250.201598661786869
868.38.69872259418697-0.1370709890465468.038348394859580.398722594186971
878.48.6758464383634-0.01363859958004598.137792161216650.2758464383634
888.68.774773423428960.2081683907348568.217058185836180.174773423428965
898.58.523700445254350.1799753442899448.296324210455710.0237004452543452
908.48.427009046882360.02963819334043418.343352759777210.0270090468823572
918.38.35031764851038-0.1406989576090898.390381309098710.0503176485103811
9287.97933572976878-0.3927404712941268.41340474152534-0.0206642702312188
9387.97835366398788-0.414781837939868.43642817395198-0.0216463360121182
948.78.692436379296550.2528249003532518.4547387203502-0.00756362070344707
958.78.606519226940590.3204315063109928.47304926674841-0.0934807730594063
968.68.562418058717250.1483957558296238.48918618545313-0.0375819412827525
978.58.53518018613153-0.04050329028937448.505323104157840.0351801861315302
988.58.62134988616211-0.1370709890465468.515721102884430.121349886162115
998.68.68751949796903-0.01363859958004598.526119101611020.0875194979690264
1008.88.862752960337060.2081683907348568.529078648928080.0627529603370593
1018.78.687986459464910.1799753442899448.53203819624515-0.0120135405350936
1028.68.640257708055660.02963819334043418.53010409860390.0402577080556625
1038.48.41252895664643-0.1406989576090898.528170000962660.0125289566464311
1048.18.06584297296624-0.3927404712941268.52689749832789-0.0341570270337641
1058.18.08915684224674-0.414781837939868.52562499569312-0.0108431577532588
1068.78.617619908711250.2528249003532518.5295551909355-0.0823800912887531
1078.78.546083107511120.3204315063109928.53348538617788-0.153916892488878
1088.68.50794655178160.1483957558296238.54365769238877-0.0920534482183974
1098.68.68667329168971-0.04050329028937448.553829998599660.0866732916897099
1108.58.56675175577433-0.1370709890465468.570319233272220.0667517557743285
1118.68.62683013163528-0.01363859958004598.586808467944770.0268301316352755
1128.88.790046643224150.2081683907348568.60178496604099-0.00995335677584919
1138.88.803263191572840.1799753442899448.616761464137220.00326319157283983
1148.78.740210043953170.02963819334043418.630151762706390.0402100439531754
1158.58.49715689633353-0.1406989576090898.64354206127556-0.00284310366647489
1168.38.33645738162536-0.3927404712941268.656283089668770.0364573816253575
1178.38.34575771987789-0.414781837939868.669024118061970.0457577198778889
1188.98.866218931136190.2528249003532518.68095616851056-0.03378106886381
11998.986680274729860.3204315063109928.69288821895915-0.0133197252701418
1208.88.747531080715910.1483957558296238.70407316345447-0.0524689192840899



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')