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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, 17 Dec 2014 11:15:33 +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/2014/Dec/17/t1418814968g5u33rbifr9cwr9.htm/, Retrieved Thu, 16 May 2024 18:53:33 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=270036, Retrieved Thu, 16 May 2024 18:53:33 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact67
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Decomposition by Loess] [loess] [2014-12-17 11:15:33] [ec1b40d1a9751af99658fe8fca4f9eca] [Current]
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Dataseries X:
4.3
4.9
5.6
5.7
5.9
6.3
6.4
6.4
6.4
6.7
6.7
7.3
7.4
7.6
7.7
7.7
7.9
7.9
8
8.2
8.3
8.3
8.5
8.6
8.8
8.8
9
9
9.1
9.2
9.3
9.3
9.3
9.6
9.6
9.6
9.7
9.9
9.9
9.9
10
10.1
10.3
10.3
10.3
10.4
10.5
10.6
10.7
10.8
10.8
10.8
10.9
10.9
10.9
11.1
11.1
11.1
11.2
11.3
11.3
11.4
11.4
11.4
11.4
11.4
11.5
11.6
11.6
11.7
11.7
11.8
11.8
11.8
11.9
12
12.1
12.2
12.2
12.3
12.3
12.3
12.5
12.6
12.6
12.6
12.6
12.7
12.7
12.8
12.9
13
13
13
13.2
13.2
13.3
13.3
13.3
13.4
13.4
13.5
13.6
13.8
13.8
14.2
14.3
14.5
14.6
14.8
15.9
16.1




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 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 & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270036&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=270036&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270036&T=0

As an alternative you can also use a QR Code:  

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

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







Seasonal Decomposition by Loess - Parameters
ComponentWindowDegreeJump
Seasonal11210113
Trend1912
Low-pass1312

\begin{tabular}{lllllllll}
\hline
Seasonal Decomposition by Loess - Parameters \tabularnewline
Component & Window & Degree & Jump \tabularnewline
Seasonal & 1121 & 0 & 113 \tabularnewline
Trend & 19 & 1 & 2 \tabularnewline
Low-pass & 13 & 1 & 2 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270036&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]1121[/C][C]0[/C][C]113[/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=270036&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270036&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
Seasonal11210113
Trend1912
Low-pass1312







Seasonal Decomposition by Loess - Time Series Components
tObservedFittedSeasonalTrendRemainder
14.33.7882028896648-0.04599161214919894.8577887224844-0.511797110335203
24.94.73521422555842-0.01350245312918465.07828822757077-0.164785774441584
35.65.802225863949360.09898640339349775.298787732657140.202225863949365
45.75.830138590411860.05452599497063795.51533541461750.130138590411864
55.96.08444832309579-0.01633141967365195.731883096577860.184448323095793
66.36.65630600952849-0.003699123658212155.947393114129730.356306009528486
76.46.63927473052356-0.002177862205154746.162903131681590.239274730523562
86.46.416194209752820.007603659133272286.376202131113910.0161942097528174
96.46.28200257415501-0.07150370470123986.58950113054623-0.117997425844989
106.76.65855594983986-0.02779341484859486.76923746500873-0.0414440501601359
116.76.46844255852724-0.01741635799847366.94897379947123-0.23155744147276
127.37.461234968749160.0372999152879587.101465115962880.161234968749161
137.47.59203517969467-0.04599161214919897.253956432454530.192035179694672
147.67.81245128781521-0.01350245312918467.401051165313980.212451287815206
157.77.752867698433070.09898640339349777.548145898173430.0528676984330732
167.77.660277572794750.05452599497063797.68519643223461-0.0397224272052483
177.97.99408445337786-0.01633141967365197.822246966295790.0940844533778602
187.97.86158229523806-0.003699123658212157.94211682842015-0.0384177047619394
1987.94019117166064-0.002177862205154748.06198669054451-0.0598088283393565
208.28.221162347772890.007603659133272288.171233993093840.0211623477728864
218.38.39102240905807-0.07150370470123988.280481295643170.0910224090580698
228.38.23989508389489-0.02779341484859488.38789833095371-0.0601049161051108
238.58.52210099173423-0.01741635799847368.495315366264240.0221009917342325
248.68.563849365186820.0372999152879588.59885071952522-0.0361506348131773
258.88.94360553936301-0.04599161214919898.70238607278620.143605539363005
268.88.81335717735246-0.01350245312918468.800145275776730.0133571773524572
2799.003109117839240.09898640339349778.897904478767260.00310911783924261
2898.955076161362610.05452599497063798.99039784366675-0.0449238386373896
299.19.13344021110741-0.01633141967365199.082891208566250.0334402111074059
309.29.23392865463142-0.003699123658212159.169770469026790.0339286546314224
319.39.34552813271782-0.002177862205154749.256649729487330.0455281327178234
329.39.254262640015220.007603659133272289.33813370085151-0.0457373599847823
339.39.25188603248555-0.07150370470123989.41961767221569-0.0481139675144515
349.69.731025698583-0.02779341484859489.49676771626560.131025698582997
359.69.64349859768297-0.01741635799847369.57391776031550.0434985976829694
369.69.512228006197320.0372999152879589.65047207851472-0.0877719938026793
379.79.71896521543526-0.04599161214919899.727026396713930.018965215435264
389.910.0080375264488-0.01350245312918469.805464926680370.108037526448818
399.99.81711013995970.09898640339349779.8839034566468-0.0828898600402965
409.99.783764542783820.05452599497063799.96170946224554-0.116235457216179
41109.97681595182937-0.016331419673651910.0395154678443-0.0231840481706342
4210.110.0848464790966-0.0036991236582121510.1188526445616-0.0151535209034215
4310.310.4039880409262-0.0021778622051547410.1981898212790.103988040926176
4410.310.31469072328210.0076036591332722810.27770561758460.0146907232821061
4510.310.314282290811-0.071503704701239810.35722141389030.0142822908109732
4610.410.3960962085077-0.027793414848594810.4316972063409-0.00390379149232167
4710.510.5112433592069-0.017416357998473610.50617299879160.0112433592069046
4810.610.59134641038380.03729991528795810.5713536743283-0.0086535896162232
4910.710.8094572622842-0.045991612149198910.6365343498650.109457262284238
5010.810.9158719459215-0.013502453129184610.69763050720770.115871945921461
5110.810.7422869320560.098986403393497710.7587266645505-0.0577130679439861
5210.810.72782234157010.054525994970637910.8176516634593-0.0721776584298901
5310.910.9397547573056-0.016331419673651910.8765766623680.0397547573056336
5410.910.8713996802036-0.0036991236582121510.9322994434546-0.0286003197963538
5510.910.814155637664-0.0021778622051547410.9880222245411-0.0858443623359584
5611.111.15166314809760.0076036591332722811.04073319276920.0516631480975569
5711.111.178059543704-0.071503704701239811.09344416099720.078059543704013
5811.111.0851465844416-0.027793414848594811.142646830407-0.0148534155583757
5911.211.2255668581818-0.017416357998473611.19184949981670.0255668581817581
6011.311.32745493146480.03729991528795811.23524515324730.0274549314647512
6111.311.3673508054713-0.045991612149198911.27864080667790.0673508054713334
6211.411.49284734371-0.013502453129184611.32065510941920.0928473437100266
6311.411.33834418444610.098986403393497711.3626694121605-0.0616558155539479
6411.411.34050691199520.054525994970637911.4049670930342-0.0594930880047926
6511.411.3690666457658-0.016331419673651911.4472647739079-0.0309333542342092
6611.411.3136672864596-0.0036991236582121511.4900318371986-0.0863327135403633
6711.511.4693789617159-0.0021778622051547411.5327989004893-0.0306210382841332
6811.611.61637095171450.0076036591332722811.57602538915220.0163709517145456
6911.611.6522518268862-0.071503704701239811.61925187781510.0522518268861649
7011.711.7587972796441-0.027793414848594811.66899613520450.0587972796441303
7111.711.6986759654046-0.017416357998473611.7187403925939-0.00132403459538111
7211.811.78803925992630.03729991528795811.7746608247858-0.0119607400737483
7311.811.8154103551715-0.045991612149198911.83058125697770.0154103551714737
7411.811.7246821883877-0.013502453129184611.8888202647415-0.0753178116123046
7511.911.75395432410120.098986403393497711.9470592725053-0.146045675898751
761211.93774138818120.054525994970637912.0077326168481-0.0622586118187503
7712.112.1479254584827-0.016331419673651912.0684059611910.0479254584826769
7812.212.2686335830248-0.0036991236582121512.13506554063340.0686335830247984
7912.212.2004527421293-0.0021778622051547412.20172512007590.000452742129303019
8012.312.32569024034810.0076036591332722812.26670610051870.0256902403480783
8112.312.3398166237398-0.071503704701239812.33168708096150.0398166237397888
8212.312.2394684234237-0.027793414848594812.3883249914249-0.0605315765762917
8312.512.5724534561102-0.017416357998473612.44496290188830.0724534561101517
8412.612.66586935005590.03729991528795812.49683073465610.0658693500559053
8512.612.6972930447252-0.045991612149198912.5486985674240.097293044725248
8612.612.609928752798-0.013502453129184612.60357370033120.00992875279795236
8712.612.4425647633680.098986403393497712.6584488332385-0.15743523663201
8812.712.63071933241360.054525994970637912.7147546726158-0.0692806675864066
8912.712.6452709076806-0.016331419673651912.771060511993-0.0547290923193771
9012.812.7742196777457-0.0036991236582121512.8294794459125-0.0257803222543114
9112.912.9142794823731-0.0021778622051547412.8878983798320.0142794823731354
921313.04398235910280.0076036591332722812.9484139817640.0439823591027722
931313.0625741210053-0.071503704701239813.00892958369590.0625741210053459
941312.960031789347-0.027793414848594813.0677616255016-0.0399682106530079
9513.213.2908226906912-0.017416357998473613.12659366730730.0908226906911587
9613.213.17983509030710.03729991528795813.1828649944049-0.0201649096928715
9713.313.4068552906467-0.045991612149198913.23913632150250.106855290646688
9813.313.3105233980073-0.013502453129184613.30297905512190.0105233980073063
9913.313.13419180786530.098986403393497713.3668217887412-0.165808192134744
10013.413.29595189951270.054525994970637913.4495221055167-0.104048100487324
10113.413.2841089973815-0.016331419673651913.5322224222921-0.115891002618476
10213.513.3643860326626-0.0036991236582121513.6393130909956-0.135613967337399
10313.613.4557741025061-0.0021778622051547413.7464037596991-0.144225897493937
10413.813.66511796932490.0076036591332722813.9272783715418-0.134882030675078
10513.813.5633507213167-0.071503704701239814.1081529833845-0.236649278683279
10614.214.122076792158-0.027793414848594814.3057166226906-0.0779232078419945
10714.314.1141360960018-0.017416357998473614.5032802619967-0.185863903998182
10814.514.25712026711720.03729991528795814.7055798175949-0.242879732882836
10914.614.3381122389561-0.045991612149198914.9078793731931-0.261887761043896
11014.814.4973384707927-0.013502453129184615.1161639823365-0.302661529207343
11115.916.37656500512650.098986403393497715.324448591480.47656500512654
11216.116.60635665781490.054525994970637915.53911734721450.506356657814905

\begin{tabular}{lllllllll}
\hline
Seasonal Decomposition by Loess - Time Series Components \tabularnewline
t & Observed & Fitted & Seasonal & Trend & Remainder \tabularnewline
1 & 4.3 & 3.7882028896648 & -0.0459916121491989 & 4.8577887224844 & -0.511797110335203 \tabularnewline
2 & 4.9 & 4.73521422555842 & -0.0135024531291846 & 5.07828822757077 & -0.164785774441584 \tabularnewline
3 & 5.6 & 5.80222586394936 & 0.0989864033934977 & 5.29878773265714 & 0.202225863949365 \tabularnewline
4 & 5.7 & 5.83013859041186 & 0.0545259949706379 & 5.5153354146175 & 0.130138590411864 \tabularnewline
5 & 5.9 & 6.08444832309579 & -0.0163314196736519 & 5.73188309657786 & 0.184448323095793 \tabularnewline
6 & 6.3 & 6.65630600952849 & -0.00369912365821215 & 5.94739311412973 & 0.356306009528486 \tabularnewline
7 & 6.4 & 6.63927473052356 & -0.00217786220515474 & 6.16290313168159 & 0.239274730523562 \tabularnewline
8 & 6.4 & 6.41619420975282 & 0.00760365913327228 & 6.37620213111391 & 0.0161942097528174 \tabularnewline
9 & 6.4 & 6.28200257415501 & -0.0715037047012398 & 6.58950113054623 & -0.117997425844989 \tabularnewline
10 & 6.7 & 6.65855594983986 & -0.0277934148485948 & 6.76923746500873 & -0.0414440501601359 \tabularnewline
11 & 6.7 & 6.46844255852724 & -0.0174163579984736 & 6.94897379947123 & -0.23155744147276 \tabularnewline
12 & 7.3 & 7.46123496874916 & 0.037299915287958 & 7.10146511596288 & 0.161234968749161 \tabularnewline
13 & 7.4 & 7.59203517969467 & -0.0459916121491989 & 7.25395643245453 & 0.192035179694672 \tabularnewline
14 & 7.6 & 7.81245128781521 & -0.0135024531291846 & 7.40105116531398 & 0.212451287815206 \tabularnewline
15 & 7.7 & 7.75286769843307 & 0.0989864033934977 & 7.54814589817343 & 0.0528676984330732 \tabularnewline
16 & 7.7 & 7.66027757279475 & 0.0545259949706379 & 7.68519643223461 & -0.0397224272052483 \tabularnewline
17 & 7.9 & 7.99408445337786 & -0.0163314196736519 & 7.82224696629579 & 0.0940844533778602 \tabularnewline
18 & 7.9 & 7.86158229523806 & -0.00369912365821215 & 7.94211682842015 & -0.0384177047619394 \tabularnewline
19 & 8 & 7.94019117166064 & -0.00217786220515474 & 8.06198669054451 & -0.0598088283393565 \tabularnewline
20 & 8.2 & 8.22116234777289 & 0.00760365913327228 & 8.17123399309384 & 0.0211623477728864 \tabularnewline
21 & 8.3 & 8.39102240905807 & -0.0715037047012398 & 8.28048129564317 & 0.0910224090580698 \tabularnewline
22 & 8.3 & 8.23989508389489 & -0.0277934148485948 & 8.38789833095371 & -0.0601049161051108 \tabularnewline
23 & 8.5 & 8.52210099173423 & -0.0174163579984736 & 8.49531536626424 & 0.0221009917342325 \tabularnewline
24 & 8.6 & 8.56384936518682 & 0.037299915287958 & 8.59885071952522 & -0.0361506348131773 \tabularnewline
25 & 8.8 & 8.94360553936301 & -0.0459916121491989 & 8.7023860727862 & 0.143605539363005 \tabularnewline
26 & 8.8 & 8.81335717735246 & -0.0135024531291846 & 8.80014527577673 & 0.0133571773524572 \tabularnewline
27 & 9 & 9.00310911783924 & 0.0989864033934977 & 8.89790447876726 & 0.00310911783924261 \tabularnewline
28 & 9 & 8.95507616136261 & 0.0545259949706379 & 8.99039784366675 & -0.0449238386373896 \tabularnewline
29 & 9.1 & 9.13344021110741 & -0.0163314196736519 & 9.08289120856625 & 0.0334402111074059 \tabularnewline
30 & 9.2 & 9.23392865463142 & -0.00369912365821215 & 9.16977046902679 & 0.0339286546314224 \tabularnewline
31 & 9.3 & 9.34552813271782 & -0.00217786220515474 & 9.25664972948733 & 0.0455281327178234 \tabularnewline
32 & 9.3 & 9.25426264001522 & 0.00760365913327228 & 9.33813370085151 & -0.0457373599847823 \tabularnewline
33 & 9.3 & 9.25188603248555 & -0.0715037047012398 & 9.41961767221569 & -0.0481139675144515 \tabularnewline
34 & 9.6 & 9.731025698583 & -0.0277934148485948 & 9.4967677162656 & 0.131025698582997 \tabularnewline
35 & 9.6 & 9.64349859768297 & -0.0174163579984736 & 9.5739177603155 & 0.0434985976829694 \tabularnewline
36 & 9.6 & 9.51222800619732 & 0.037299915287958 & 9.65047207851472 & -0.0877719938026793 \tabularnewline
37 & 9.7 & 9.71896521543526 & -0.0459916121491989 & 9.72702639671393 & 0.018965215435264 \tabularnewline
38 & 9.9 & 10.0080375264488 & -0.0135024531291846 & 9.80546492668037 & 0.108037526448818 \tabularnewline
39 & 9.9 & 9.8171101399597 & 0.0989864033934977 & 9.8839034566468 & -0.0828898600402965 \tabularnewline
40 & 9.9 & 9.78376454278382 & 0.0545259949706379 & 9.96170946224554 & -0.116235457216179 \tabularnewline
41 & 10 & 9.97681595182937 & -0.0163314196736519 & 10.0395154678443 & -0.0231840481706342 \tabularnewline
42 & 10.1 & 10.0848464790966 & -0.00369912365821215 & 10.1188526445616 & -0.0151535209034215 \tabularnewline
43 & 10.3 & 10.4039880409262 & -0.00217786220515474 & 10.198189821279 & 0.103988040926176 \tabularnewline
44 & 10.3 & 10.3146907232821 & 0.00760365913327228 & 10.2777056175846 & 0.0146907232821061 \tabularnewline
45 & 10.3 & 10.314282290811 & -0.0715037047012398 & 10.3572214138903 & 0.0142822908109732 \tabularnewline
46 & 10.4 & 10.3960962085077 & -0.0277934148485948 & 10.4316972063409 & -0.00390379149232167 \tabularnewline
47 & 10.5 & 10.5112433592069 & -0.0174163579984736 & 10.5061729987916 & 0.0112433592069046 \tabularnewline
48 & 10.6 & 10.5913464103838 & 0.037299915287958 & 10.5713536743283 & -0.0086535896162232 \tabularnewline
49 & 10.7 & 10.8094572622842 & -0.0459916121491989 & 10.636534349865 & 0.109457262284238 \tabularnewline
50 & 10.8 & 10.9158719459215 & -0.0135024531291846 & 10.6976305072077 & 0.115871945921461 \tabularnewline
51 & 10.8 & 10.742286932056 & 0.0989864033934977 & 10.7587266645505 & -0.0577130679439861 \tabularnewline
52 & 10.8 & 10.7278223415701 & 0.0545259949706379 & 10.8176516634593 & -0.0721776584298901 \tabularnewline
53 & 10.9 & 10.9397547573056 & -0.0163314196736519 & 10.876576662368 & 0.0397547573056336 \tabularnewline
54 & 10.9 & 10.8713996802036 & -0.00369912365821215 & 10.9322994434546 & -0.0286003197963538 \tabularnewline
55 & 10.9 & 10.814155637664 & -0.00217786220515474 & 10.9880222245411 & -0.0858443623359584 \tabularnewline
56 & 11.1 & 11.1516631480976 & 0.00760365913327228 & 11.0407331927692 & 0.0516631480975569 \tabularnewline
57 & 11.1 & 11.178059543704 & -0.0715037047012398 & 11.0934441609972 & 0.078059543704013 \tabularnewline
58 & 11.1 & 11.0851465844416 & -0.0277934148485948 & 11.142646830407 & -0.0148534155583757 \tabularnewline
59 & 11.2 & 11.2255668581818 & -0.0174163579984736 & 11.1918494998167 & 0.0255668581817581 \tabularnewline
60 & 11.3 & 11.3274549314648 & 0.037299915287958 & 11.2352451532473 & 0.0274549314647512 \tabularnewline
61 & 11.3 & 11.3673508054713 & -0.0459916121491989 & 11.2786408066779 & 0.0673508054713334 \tabularnewline
62 & 11.4 & 11.49284734371 & -0.0135024531291846 & 11.3206551094192 & 0.0928473437100266 \tabularnewline
63 & 11.4 & 11.3383441844461 & 0.0989864033934977 & 11.3626694121605 & -0.0616558155539479 \tabularnewline
64 & 11.4 & 11.3405069119952 & 0.0545259949706379 & 11.4049670930342 & -0.0594930880047926 \tabularnewline
65 & 11.4 & 11.3690666457658 & -0.0163314196736519 & 11.4472647739079 & -0.0309333542342092 \tabularnewline
66 & 11.4 & 11.3136672864596 & -0.00369912365821215 & 11.4900318371986 & -0.0863327135403633 \tabularnewline
67 & 11.5 & 11.4693789617159 & -0.00217786220515474 & 11.5327989004893 & -0.0306210382841332 \tabularnewline
68 & 11.6 & 11.6163709517145 & 0.00760365913327228 & 11.5760253891522 & 0.0163709517145456 \tabularnewline
69 & 11.6 & 11.6522518268862 & -0.0715037047012398 & 11.6192518778151 & 0.0522518268861649 \tabularnewline
70 & 11.7 & 11.7587972796441 & -0.0277934148485948 & 11.6689961352045 & 0.0587972796441303 \tabularnewline
71 & 11.7 & 11.6986759654046 & -0.0174163579984736 & 11.7187403925939 & -0.00132403459538111 \tabularnewline
72 & 11.8 & 11.7880392599263 & 0.037299915287958 & 11.7746608247858 & -0.0119607400737483 \tabularnewline
73 & 11.8 & 11.8154103551715 & -0.0459916121491989 & 11.8305812569777 & 0.0154103551714737 \tabularnewline
74 & 11.8 & 11.7246821883877 & -0.0135024531291846 & 11.8888202647415 & -0.0753178116123046 \tabularnewline
75 & 11.9 & 11.7539543241012 & 0.0989864033934977 & 11.9470592725053 & -0.146045675898751 \tabularnewline
76 & 12 & 11.9377413881812 & 0.0545259949706379 & 12.0077326168481 & -0.0622586118187503 \tabularnewline
77 & 12.1 & 12.1479254584827 & -0.0163314196736519 & 12.068405961191 & 0.0479254584826769 \tabularnewline
78 & 12.2 & 12.2686335830248 & -0.00369912365821215 & 12.1350655406334 & 0.0686335830247984 \tabularnewline
79 & 12.2 & 12.2004527421293 & -0.00217786220515474 & 12.2017251200759 & 0.000452742129303019 \tabularnewline
80 & 12.3 & 12.3256902403481 & 0.00760365913327228 & 12.2667061005187 & 0.0256902403480783 \tabularnewline
81 & 12.3 & 12.3398166237398 & -0.0715037047012398 & 12.3316870809615 & 0.0398166237397888 \tabularnewline
82 & 12.3 & 12.2394684234237 & -0.0277934148485948 & 12.3883249914249 & -0.0605315765762917 \tabularnewline
83 & 12.5 & 12.5724534561102 & -0.0174163579984736 & 12.4449629018883 & 0.0724534561101517 \tabularnewline
84 & 12.6 & 12.6658693500559 & 0.037299915287958 & 12.4968307346561 & 0.0658693500559053 \tabularnewline
85 & 12.6 & 12.6972930447252 & -0.0459916121491989 & 12.548698567424 & 0.097293044725248 \tabularnewline
86 & 12.6 & 12.609928752798 & -0.0135024531291846 & 12.6035737003312 & 0.00992875279795236 \tabularnewline
87 & 12.6 & 12.442564763368 & 0.0989864033934977 & 12.6584488332385 & -0.15743523663201 \tabularnewline
88 & 12.7 & 12.6307193324136 & 0.0545259949706379 & 12.7147546726158 & -0.0692806675864066 \tabularnewline
89 & 12.7 & 12.6452709076806 & -0.0163314196736519 & 12.771060511993 & -0.0547290923193771 \tabularnewline
90 & 12.8 & 12.7742196777457 & -0.00369912365821215 & 12.8294794459125 & -0.0257803222543114 \tabularnewline
91 & 12.9 & 12.9142794823731 & -0.00217786220515474 & 12.887898379832 & 0.0142794823731354 \tabularnewline
92 & 13 & 13.0439823591028 & 0.00760365913327228 & 12.948413981764 & 0.0439823591027722 \tabularnewline
93 & 13 & 13.0625741210053 & -0.0715037047012398 & 13.0089295836959 & 0.0625741210053459 \tabularnewline
94 & 13 & 12.960031789347 & -0.0277934148485948 & 13.0677616255016 & -0.0399682106530079 \tabularnewline
95 & 13.2 & 13.2908226906912 & -0.0174163579984736 & 13.1265936673073 & 0.0908226906911587 \tabularnewline
96 & 13.2 & 13.1798350903071 & 0.037299915287958 & 13.1828649944049 & -0.0201649096928715 \tabularnewline
97 & 13.3 & 13.4068552906467 & -0.0459916121491989 & 13.2391363215025 & 0.106855290646688 \tabularnewline
98 & 13.3 & 13.3105233980073 & -0.0135024531291846 & 13.3029790551219 & 0.0105233980073063 \tabularnewline
99 & 13.3 & 13.1341918078653 & 0.0989864033934977 & 13.3668217887412 & -0.165808192134744 \tabularnewline
100 & 13.4 & 13.2959518995127 & 0.0545259949706379 & 13.4495221055167 & -0.104048100487324 \tabularnewline
101 & 13.4 & 13.2841089973815 & -0.0163314196736519 & 13.5322224222921 & -0.115891002618476 \tabularnewline
102 & 13.5 & 13.3643860326626 & -0.00369912365821215 & 13.6393130909956 & -0.135613967337399 \tabularnewline
103 & 13.6 & 13.4557741025061 & -0.00217786220515474 & 13.7464037596991 & -0.144225897493937 \tabularnewline
104 & 13.8 & 13.6651179693249 & 0.00760365913327228 & 13.9272783715418 & -0.134882030675078 \tabularnewline
105 & 13.8 & 13.5633507213167 & -0.0715037047012398 & 14.1081529833845 & -0.236649278683279 \tabularnewline
106 & 14.2 & 14.122076792158 & -0.0277934148485948 & 14.3057166226906 & -0.0779232078419945 \tabularnewline
107 & 14.3 & 14.1141360960018 & -0.0174163579984736 & 14.5032802619967 & -0.185863903998182 \tabularnewline
108 & 14.5 & 14.2571202671172 & 0.037299915287958 & 14.7055798175949 & -0.242879732882836 \tabularnewline
109 & 14.6 & 14.3381122389561 & -0.0459916121491989 & 14.9078793731931 & -0.261887761043896 \tabularnewline
110 & 14.8 & 14.4973384707927 & -0.0135024531291846 & 15.1161639823365 & -0.302661529207343 \tabularnewline
111 & 15.9 & 16.3765650051265 & 0.0989864033934977 & 15.32444859148 & 0.47656500512654 \tabularnewline
112 & 16.1 & 16.6063566578149 & 0.0545259949706379 & 15.5391173472145 & 0.506356657814905 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270036&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]4.3[/C][C]3.7882028896648[/C][C]-0.0459916121491989[/C][C]4.8577887224844[/C][C]-0.511797110335203[/C][/ROW]
[ROW][C]2[/C][C]4.9[/C][C]4.73521422555842[/C][C]-0.0135024531291846[/C][C]5.07828822757077[/C][C]-0.164785774441584[/C][/ROW]
[ROW][C]3[/C][C]5.6[/C][C]5.80222586394936[/C][C]0.0989864033934977[/C][C]5.29878773265714[/C][C]0.202225863949365[/C][/ROW]
[ROW][C]4[/C][C]5.7[/C][C]5.83013859041186[/C][C]0.0545259949706379[/C][C]5.5153354146175[/C][C]0.130138590411864[/C][/ROW]
[ROW][C]5[/C][C]5.9[/C][C]6.08444832309579[/C][C]-0.0163314196736519[/C][C]5.73188309657786[/C][C]0.184448323095793[/C][/ROW]
[ROW][C]6[/C][C]6.3[/C][C]6.65630600952849[/C][C]-0.00369912365821215[/C][C]5.94739311412973[/C][C]0.356306009528486[/C][/ROW]
[ROW][C]7[/C][C]6.4[/C][C]6.63927473052356[/C][C]-0.00217786220515474[/C][C]6.16290313168159[/C][C]0.239274730523562[/C][/ROW]
[ROW][C]8[/C][C]6.4[/C][C]6.41619420975282[/C][C]0.00760365913327228[/C][C]6.37620213111391[/C][C]0.0161942097528174[/C][/ROW]
[ROW][C]9[/C][C]6.4[/C][C]6.28200257415501[/C][C]-0.0715037047012398[/C][C]6.58950113054623[/C][C]-0.117997425844989[/C][/ROW]
[ROW][C]10[/C][C]6.7[/C][C]6.65855594983986[/C][C]-0.0277934148485948[/C][C]6.76923746500873[/C][C]-0.0414440501601359[/C][/ROW]
[ROW][C]11[/C][C]6.7[/C][C]6.46844255852724[/C][C]-0.0174163579984736[/C][C]6.94897379947123[/C][C]-0.23155744147276[/C][/ROW]
[ROW][C]12[/C][C]7.3[/C][C]7.46123496874916[/C][C]0.037299915287958[/C][C]7.10146511596288[/C][C]0.161234968749161[/C][/ROW]
[ROW][C]13[/C][C]7.4[/C][C]7.59203517969467[/C][C]-0.0459916121491989[/C][C]7.25395643245453[/C][C]0.192035179694672[/C][/ROW]
[ROW][C]14[/C][C]7.6[/C][C]7.81245128781521[/C][C]-0.0135024531291846[/C][C]7.40105116531398[/C][C]0.212451287815206[/C][/ROW]
[ROW][C]15[/C][C]7.7[/C][C]7.75286769843307[/C][C]0.0989864033934977[/C][C]7.54814589817343[/C][C]0.0528676984330732[/C][/ROW]
[ROW][C]16[/C][C]7.7[/C][C]7.66027757279475[/C][C]0.0545259949706379[/C][C]7.68519643223461[/C][C]-0.0397224272052483[/C][/ROW]
[ROW][C]17[/C][C]7.9[/C][C]7.99408445337786[/C][C]-0.0163314196736519[/C][C]7.82224696629579[/C][C]0.0940844533778602[/C][/ROW]
[ROW][C]18[/C][C]7.9[/C][C]7.86158229523806[/C][C]-0.00369912365821215[/C][C]7.94211682842015[/C][C]-0.0384177047619394[/C][/ROW]
[ROW][C]19[/C][C]8[/C][C]7.94019117166064[/C][C]-0.00217786220515474[/C][C]8.06198669054451[/C][C]-0.0598088283393565[/C][/ROW]
[ROW][C]20[/C][C]8.2[/C][C]8.22116234777289[/C][C]0.00760365913327228[/C][C]8.17123399309384[/C][C]0.0211623477728864[/C][/ROW]
[ROW][C]21[/C][C]8.3[/C][C]8.39102240905807[/C][C]-0.0715037047012398[/C][C]8.28048129564317[/C][C]0.0910224090580698[/C][/ROW]
[ROW][C]22[/C][C]8.3[/C][C]8.23989508389489[/C][C]-0.0277934148485948[/C][C]8.38789833095371[/C][C]-0.0601049161051108[/C][/ROW]
[ROW][C]23[/C][C]8.5[/C][C]8.52210099173423[/C][C]-0.0174163579984736[/C][C]8.49531536626424[/C][C]0.0221009917342325[/C][/ROW]
[ROW][C]24[/C][C]8.6[/C][C]8.56384936518682[/C][C]0.037299915287958[/C][C]8.59885071952522[/C][C]-0.0361506348131773[/C][/ROW]
[ROW][C]25[/C][C]8.8[/C][C]8.94360553936301[/C][C]-0.0459916121491989[/C][C]8.7023860727862[/C][C]0.143605539363005[/C][/ROW]
[ROW][C]26[/C][C]8.8[/C][C]8.81335717735246[/C][C]-0.0135024531291846[/C][C]8.80014527577673[/C][C]0.0133571773524572[/C][/ROW]
[ROW][C]27[/C][C]9[/C][C]9.00310911783924[/C][C]0.0989864033934977[/C][C]8.89790447876726[/C][C]0.00310911783924261[/C][/ROW]
[ROW][C]28[/C][C]9[/C][C]8.95507616136261[/C][C]0.0545259949706379[/C][C]8.99039784366675[/C][C]-0.0449238386373896[/C][/ROW]
[ROW][C]29[/C][C]9.1[/C][C]9.13344021110741[/C][C]-0.0163314196736519[/C][C]9.08289120856625[/C][C]0.0334402111074059[/C][/ROW]
[ROW][C]30[/C][C]9.2[/C][C]9.23392865463142[/C][C]-0.00369912365821215[/C][C]9.16977046902679[/C][C]0.0339286546314224[/C][/ROW]
[ROW][C]31[/C][C]9.3[/C][C]9.34552813271782[/C][C]-0.00217786220515474[/C][C]9.25664972948733[/C][C]0.0455281327178234[/C][/ROW]
[ROW][C]32[/C][C]9.3[/C][C]9.25426264001522[/C][C]0.00760365913327228[/C][C]9.33813370085151[/C][C]-0.0457373599847823[/C][/ROW]
[ROW][C]33[/C][C]9.3[/C][C]9.25188603248555[/C][C]-0.0715037047012398[/C][C]9.41961767221569[/C][C]-0.0481139675144515[/C][/ROW]
[ROW][C]34[/C][C]9.6[/C][C]9.731025698583[/C][C]-0.0277934148485948[/C][C]9.4967677162656[/C][C]0.131025698582997[/C][/ROW]
[ROW][C]35[/C][C]9.6[/C][C]9.64349859768297[/C][C]-0.0174163579984736[/C][C]9.5739177603155[/C][C]0.0434985976829694[/C][/ROW]
[ROW][C]36[/C][C]9.6[/C][C]9.51222800619732[/C][C]0.037299915287958[/C][C]9.65047207851472[/C][C]-0.0877719938026793[/C][/ROW]
[ROW][C]37[/C][C]9.7[/C][C]9.71896521543526[/C][C]-0.0459916121491989[/C][C]9.72702639671393[/C][C]0.018965215435264[/C][/ROW]
[ROW][C]38[/C][C]9.9[/C][C]10.0080375264488[/C][C]-0.0135024531291846[/C][C]9.80546492668037[/C][C]0.108037526448818[/C][/ROW]
[ROW][C]39[/C][C]9.9[/C][C]9.8171101399597[/C][C]0.0989864033934977[/C][C]9.8839034566468[/C][C]-0.0828898600402965[/C][/ROW]
[ROW][C]40[/C][C]9.9[/C][C]9.78376454278382[/C][C]0.0545259949706379[/C][C]9.96170946224554[/C][C]-0.116235457216179[/C][/ROW]
[ROW][C]41[/C][C]10[/C][C]9.97681595182937[/C][C]-0.0163314196736519[/C][C]10.0395154678443[/C][C]-0.0231840481706342[/C][/ROW]
[ROW][C]42[/C][C]10.1[/C][C]10.0848464790966[/C][C]-0.00369912365821215[/C][C]10.1188526445616[/C][C]-0.0151535209034215[/C][/ROW]
[ROW][C]43[/C][C]10.3[/C][C]10.4039880409262[/C][C]-0.00217786220515474[/C][C]10.198189821279[/C][C]0.103988040926176[/C][/ROW]
[ROW][C]44[/C][C]10.3[/C][C]10.3146907232821[/C][C]0.00760365913327228[/C][C]10.2777056175846[/C][C]0.0146907232821061[/C][/ROW]
[ROW][C]45[/C][C]10.3[/C][C]10.314282290811[/C][C]-0.0715037047012398[/C][C]10.3572214138903[/C][C]0.0142822908109732[/C][/ROW]
[ROW][C]46[/C][C]10.4[/C][C]10.3960962085077[/C][C]-0.0277934148485948[/C][C]10.4316972063409[/C][C]-0.00390379149232167[/C][/ROW]
[ROW][C]47[/C][C]10.5[/C][C]10.5112433592069[/C][C]-0.0174163579984736[/C][C]10.5061729987916[/C][C]0.0112433592069046[/C][/ROW]
[ROW][C]48[/C][C]10.6[/C][C]10.5913464103838[/C][C]0.037299915287958[/C][C]10.5713536743283[/C][C]-0.0086535896162232[/C][/ROW]
[ROW][C]49[/C][C]10.7[/C][C]10.8094572622842[/C][C]-0.0459916121491989[/C][C]10.636534349865[/C][C]0.109457262284238[/C][/ROW]
[ROW][C]50[/C][C]10.8[/C][C]10.9158719459215[/C][C]-0.0135024531291846[/C][C]10.6976305072077[/C][C]0.115871945921461[/C][/ROW]
[ROW][C]51[/C][C]10.8[/C][C]10.742286932056[/C][C]0.0989864033934977[/C][C]10.7587266645505[/C][C]-0.0577130679439861[/C][/ROW]
[ROW][C]52[/C][C]10.8[/C][C]10.7278223415701[/C][C]0.0545259949706379[/C][C]10.8176516634593[/C][C]-0.0721776584298901[/C][/ROW]
[ROW][C]53[/C][C]10.9[/C][C]10.9397547573056[/C][C]-0.0163314196736519[/C][C]10.876576662368[/C][C]0.0397547573056336[/C][/ROW]
[ROW][C]54[/C][C]10.9[/C][C]10.8713996802036[/C][C]-0.00369912365821215[/C][C]10.9322994434546[/C][C]-0.0286003197963538[/C][/ROW]
[ROW][C]55[/C][C]10.9[/C][C]10.814155637664[/C][C]-0.00217786220515474[/C][C]10.9880222245411[/C][C]-0.0858443623359584[/C][/ROW]
[ROW][C]56[/C][C]11.1[/C][C]11.1516631480976[/C][C]0.00760365913327228[/C][C]11.0407331927692[/C][C]0.0516631480975569[/C][/ROW]
[ROW][C]57[/C][C]11.1[/C][C]11.178059543704[/C][C]-0.0715037047012398[/C][C]11.0934441609972[/C][C]0.078059543704013[/C][/ROW]
[ROW][C]58[/C][C]11.1[/C][C]11.0851465844416[/C][C]-0.0277934148485948[/C][C]11.142646830407[/C][C]-0.0148534155583757[/C][/ROW]
[ROW][C]59[/C][C]11.2[/C][C]11.2255668581818[/C][C]-0.0174163579984736[/C][C]11.1918494998167[/C][C]0.0255668581817581[/C][/ROW]
[ROW][C]60[/C][C]11.3[/C][C]11.3274549314648[/C][C]0.037299915287958[/C][C]11.2352451532473[/C][C]0.0274549314647512[/C][/ROW]
[ROW][C]61[/C][C]11.3[/C][C]11.3673508054713[/C][C]-0.0459916121491989[/C][C]11.2786408066779[/C][C]0.0673508054713334[/C][/ROW]
[ROW][C]62[/C][C]11.4[/C][C]11.49284734371[/C][C]-0.0135024531291846[/C][C]11.3206551094192[/C][C]0.0928473437100266[/C][/ROW]
[ROW][C]63[/C][C]11.4[/C][C]11.3383441844461[/C][C]0.0989864033934977[/C][C]11.3626694121605[/C][C]-0.0616558155539479[/C][/ROW]
[ROW][C]64[/C][C]11.4[/C][C]11.3405069119952[/C][C]0.0545259949706379[/C][C]11.4049670930342[/C][C]-0.0594930880047926[/C][/ROW]
[ROW][C]65[/C][C]11.4[/C][C]11.3690666457658[/C][C]-0.0163314196736519[/C][C]11.4472647739079[/C][C]-0.0309333542342092[/C][/ROW]
[ROW][C]66[/C][C]11.4[/C][C]11.3136672864596[/C][C]-0.00369912365821215[/C][C]11.4900318371986[/C][C]-0.0863327135403633[/C][/ROW]
[ROW][C]67[/C][C]11.5[/C][C]11.4693789617159[/C][C]-0.00217786220515474[/C][C]11.5327989004893[/C][C]-0.0306210382841332[/C][/ROW]
[ROW][C]68[/C][C]11.6[/C][C]11.6163709517145[/C][C]0.00760365913327228[/C][C]11.5760253891522[/C][C]0.0163709517145456[/C][/ROW]
[ROW][C]69[/C][C]11.6[/C][C]11.6522518268862[/C][C]-0.0715037047012398[/C][C]11.6192518778151[/C][C]0.0522518268861649[/C][/ROW]
[ROW][C]70[/C][C]11.7[/C][C]11.7587972796441[/C][C]-0.0277934148485948[/C][C]11.6689961352045[/C][C]0.0587972796441303[/C][/ROW]
[ROW][C]71[/C][C]11.7[/C][C]11.6986759654046[/C][C]-0.0174163579984736[/C][C]11.7187403925939[/C][C]-0.00132403459538111[/C][/ROW]
[ROW][C]72[/C][C]11.8[/C][C]11.7880392599263[/C][C]0.037299915287958[/C][C]11.7746608247858[/C][C]-0.0119607400737483[/C][/ROW]
[ROW][C]73[/C][C]11.8[/C][C]11.8154103551715[/C][C]-0.0459916121491989[/C][C]11.8305812569777[/C][C]0.0154103551714737[/C][/ROW]
[ROW][C]74[/C][C]11.8[/C][C]11.7246821883877[/C][C]-0.0135024531291846[/C][C]11.8888202647415[/C][C]-0.0753178116123046[/C][/ROW]
[ROW][C]75[/C][C]11.9[/C][C]11.7539543241012[/C][C]0.0989864033934977[/C][C]11.9470592725053[/C][C]-0.146045675898751[/C][/ROW]
[ROW][C]76[/C][C]12[/C][C]11.9377413881812[/C][C]0.0545259949706379[/C][C]12.0077326168481[/C][C]-0.0622586118187503[/C][/ROW]
[ROW][C]77[/C][C]12.1[/C][C]12.1479254584827[/C][C]-0.0163314196736519[/C][C]12.068405961191[/C][C]0.0479254584826769[/C][/ROW]
[ROW][C]78[/C][C]12.2[/C][C]12.2686335830248[/C][C]-0.00369912365821215[/C][C]12.1350655406334[/C][C]0.0686335830247984[/C][/ROW]
[ROW][C]79[/C][C]12.2[/C][C]12.2004527421293[/C][C]-0.00217786220515474[/C][C]12.2017251200759[/C][C]0.000452742129303019[/C][/ROW]
[ROW][C]80[/C][C]12.3[/C][C]12.3256902403481[/C][C]0.00760365913327228[/C][C]12.2667061005187[/C][C]0.0256902403480783[/C][/ROW]
[ROW][C]81[/C][C]12.3[/C][C]12.3398166237398[/C][C]-0.0715037047012398[/C][C]12.3316870809615[/C][C]0.0398166237397888[/C][/ROW]
[ROW][C]82[/C][C]12.3[/C][C]12.2394684234237[/C][C]-0.0277934148485948[/C][C]12.3883249914249[/C][C]-0.0605315765762917[/C][/ROW]
[ROW][C]83[/C][C]12.5[/C][C]12.5724534561102[/C][C]-0.0174163579984736[/C][C]12.4449629018883[/C][C]0.0724534561101517[/C][/ROW]
[ROW][C]84[/C][C]12.6[/C][C]12.6658693500559[/C][C]0.037299915287958[/C][C]12.4968307346561[/C][C]0.0658693500559053[/C][/ROW]
[ROW][C]85[/C][C]12.6[/C][C]12.6972930447252[/C][C]-0.0459916121491989[/C][C]12.548698567424[/C][C]0.097293044725248[/C][/ROW]
[ROW][C]86[/C][C]12.6[/C][C]12.609928752798[/C][C]-0.0135024531291846[/C][C]12.6035737003312[/C][C]0.00992875279795236[/C][/ROW]
[ROW][C]87[/C][C]12.6[/C][C]12.442564763368[/C][C]0.0989864033934977[/C][C]12.6584488332385[/C][C]-0.15743523663201[/C][/ROW]
[ROW][C]88[/C][C]12.7[/C][C]12.6307193324136[/C][C]0.0545259949706379[/C][C]12.7147546726158[/C][C]-0.0692806675864066[/C][/ROW]
[ROW][C]89[/C][C]12.7[/C][C]12.6452709076806[/C][C]-0.0163314196736519[/C][C]12.771060511993[/C][C]-0.0547290923193771[/C][/ROW]
[ROW][C]90[/C][C]12.8[/C][C]12.7742196777457[/C][C]-0.00369912365821215[/C][C]12.8294794459125[/C][C]-0.0257803222543114[/C][/ROW]
[ROW][C]91[/C][C]12.9[/C][C]12.9142794823731[/C][C]-0.00217786220515474[/C][C]12.887898379832[/C][C]0.0142794823731354[/C][/ROW]
[ROW][C]92[/C][C]13[/C][C]13.0439823591028[/C][C]0.00760365913327228[/C][C]12.948413981764[/C][C]0.0439823591027722[/C][/ROW]
[ROW][C]93[/C][C]13[/C][C]13.0625741210053[/C][C]-0.0715037047012398[/C][C]13.0089295836959[/C][C]0.0625741210053459[/C][/ROW]
[ROW][C]94[/C][C]13[/C][C]12.960031789347[/C][C]-0.0277934148485948[/C][C]13.0677616255016[/C][C]-0.0399682106530079[/C][/ROW]
[ROW][C]95[/C][C]13.2[/C][C]13.2908226906912[/C][C]-0.0174163579984736[/C][C]13.1265936673073[/C][C]0.0908226906911587[/C][/ROW]
[ROW][C]96[/C][C]13.2[/C][C]13.1798350903071[/C][C]0.037299915287958[/C][C]13.1828649944049[/C][C]-0.0201649096928715[/C][/ROW]
[ROW][C]97[/C][C]13.3[/C][C]13.4068552906467[/C][C]-0.0459916121491989[/C][C]13.2391363215025[/C][C]0.106855290646688[/C][/ROW]
[ROW][C]98[/C][C]13.3[/C][C]13.3105233980073[/C][C]-0.0135024531291846[/C][C]13.3029790551219[/C][C]0.0105233980073063[/C][/ROW]
[ROW][C]99[/C][C]13.3[/C][C]13.1341918078653[/C][C]0.0989864033934977[/C][C]13.3668217887412[/C][C]-0.165808192134744[/C][/ROW]
[ROW][C]100[/C][C]13.4[/C][C]13.2959518995127[/C][C]0.0545259949706379[/C][C]13.4495221055167[/C][C]-0.104048100487324[/C][/ROW]
[ROW][C]101[/C][C]13.4[/C][C]13.2841089973815[/C][C]-0.0163314196736519[/C][C]13.5322224222921[/C][C]-0.115891002618476[/C][/ROW]
[ROW][C]102[/C][C]13.5[/C][C]13.3643860326626[/C][C]-0.00369912365821215[/C][C]13.6393130909956[/C][C]-0.135613967337399[/C][/ROW]
[ROW][C]103[/C][C]13.6[/C][C]13.4557741025061[/C][C]-0.00217786220515474[/C][C]13.7464037596991[/C][C]-0.144225897493937[/C][/ROW]
[ROW][C]104[/C][C]13.8[/C][C]13.6651179693249[/C][C]0.00760365913327228[/C][C]13.9272783715418[/C][C]-0.134882030675078[/C][/ROW]
[ROW][C]105[/C][C]13.8[/C][C]13.5633507213167[/C][C]-0.0715037047012398[/C][C]14.1081529833845[/C][C]-0.236649278683279[/C][/ROW]
[ROW][C]106[/C][C]14.2[/C][C]14.122076792158[/C][C]-0.0277934148485948[/C][C]14.3057166226906[/C][C]-0.0779232078419945[/C][/ROW]
[ROW][C]107[/C][C]14.3[/C][C]14.1141360960018[/C][C]-0.0174163579984736[/C][C]14.5032802619967[/C][C]-0.185863903998182[/C][/ROW]
[ROW][C]108[/C][C]14.5[/C][C]14.2571202671172[/C][C]0.037299915287958[/C][C]14.7055798175949[/C][C]-0.242879732882836[/C][/ROW]
[ROW][C]109[/C][C]14.6[/C][C]14.3381122389561[/C][C]-0.0459916121491989[/C][C]14.9078793731931[/C][C]-0.261887761043896[/C][/ROW]
[ROW][C]110[/C][C]14.8[/C][C]14.4973384707927[/C][C]-0.0135024531291846[/C][C]15.1161639823365[/C][C]-0.302661529207343[/C][/ROW]
[ROW][C]111[/C][C]15.9[/C][C]16.3765650051265[/C][C]0.0989864033934977[/C][C]15.32444859148[/C][C]0.47656500512654[/C][/ROW]
[ROW][C]112[/C][C]16.1[/C][C]16.6063566578149[/C][C]0.0545259949706379[/C][C]15.5391173472145[/C][C]0.506356657814905[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=270036&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270036&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
14.33.7882028896648-0.04599161214919894.8577887224844-0.511797110335203
24.94.73521422555842-0.01350245312918465.07828822757077-0.164785774441584
35.65.802225863949360.09898640339349775.298787732657140.202225863949365
45.75.830138590411860.05452599497063795.51533541461750.130138590411864
55.96.08444832309579-0.01633141967365195.731883096577860.184448323095793
66.36.65630600952849-0.003699123658212155.947393114129730.356306009528486
76.46.63927473052356-0.002177862205154746.162903131681590.239274730523562
86.46.416194209752820.007603659133272286.376202131113910.0161942097528174
96.46.28200257415501-0.07150370470123986.58950113054623-0.117997425844989
106.76.65855594983986-0.02779341484859486.76923746500873-0.0414440501601359
116.76.46844255852724-0.01741635799847366.94897379947123-0.23155744147276
127.37.461234968749160.0372999152879587.101465115962880.161234968749161
137.47.59203517969467-0.04599161214919897.253956432454530.192035179694672
147.67.81245128781521-0.01350245312918467.401051165313980.212451287815206
157.77.752867698433070.09898640339349777.548145898173430.0528676984330732
167.77.660277572794750.05452599497063797.68519643223461-0.0397224272052483
177.97.99408445337786-0.01633141967365197.822246966295790.0940844533778602
187.97.86158229523806-0.003699123658212157.94211682842015-0.0384177047619394
1987.94019117166064-0.002177862205154748.06198669054451-0.0598088283393565
208.28.221162347772890.007603659133272288.171233993093840.0211623477728864
218.38.39102240905807-0.07150370470123988.280481295643170.0910224090580698
228.38.23989508389489-0.02779341484859488.38789833095371-0.0601049161051108
238.58.52210099173423-0.01741635799847368.495315366264240.0221009917342325
248.68.563849365186820.0372999152879588.59885071952522-0.0361506348131773
258.88.94360553936301-0.04599161214919898.70238607278620.143605539363005
268.88.81335717735246-0.01350245312918468.800145275776730.0133571773524572
2799.003109117839240.09898640339349778.897904478767260.00310911783924261
2898.955076161362610.05452599497063798.99039784366675-0.0449238386373896
299.19.13344021110741-0.01633141967365199.082891208566250.0334402111074059
309.29.23392865463142-0.003699123658212159.169770469026790.0339286546314224
319.39.34552813271782-0.002177862205154749.256649729487330.0455281327178234
329.39.254262640015220.007603659133272289.33813370085151-0.0457373599847823
339.39.25188603248555-0.07150370470123989.41961767221569-0.0481139675144515
349.69.731025698583-0.02779341484859489.49676771626560.131025698582997
359.69.64349859768297-0.01741635799847369.57391776031550.0434985976829694
369.69.512228006197320.0372999152879589.65047207851472-0.0877719938026793
379.79.71896521543526-0.04599161214919899.727026396713930.018965215435264
389.910.0080375264488-0.01350245312918469.805464926680370.108037526448818
399.99.81711013995970.09898640339349779.8839034566468-0.0828898600402965
409.99.783764542783820.05452599497063799.96170946224554-0.116235457216179
41109.97681595182937-0.016331419673651910.0395154678443-0.0231840481706342
4210.110.0848464790966-0.0036991236582121510.1188526445616-0.0151535209034215
4310.310.4039880409262-0.0021778622051547410.1981898212790.103988040926176
4410.310.31469072328210.0076036591332722810.27770561758460.0146907232821061
4510.310.314282290811-0.071503704701239810.35722141389030.0142822908109732
4610.410.3960962085077-0.027793414848594810.4316972063409-0.00390379149232167
4710.510.5112433592069-0.017416357998473610.50617299879160.0112433592069046
4810.610.59134641038380.03729991528795810.5713536743283-0.0086535896162232
4910.710.8094572622842-0.045991612149198910.6365343498650.109457262284238
5010.810.9158719459215-0.013502453129184610.69763050720770.115871945921461
5110.810.7422869320560.098986403393497710.7587266645505-0.0577130679439861
5210.810.72782234157010.054525994970637910.8176516634593-0.0721776584298901
5310.910.9397547573056-0.016331419673651910.8765766623680.0397547573056336
5410.910.8713996802036-0.0036991236582121510.9322994434546-0.0286003197963538
5510.910.814155637664-0.0021778622051547410.9880222245411-0.0858443623359584
5611.111.15166314809760.0076036591332722811.04073319276920.0516631480975569
5711.111.178059543704-0.071503704701239811.09344416099720.078059543704013
5811.111.0851465844416-0.027793414848594811.142646830407-0.0148534155583757
5911.211.2255668581818-0.017416357998473611.19184949981670.0255668581817581
6011.311.32745493146480.03729991528795811.23524515324730.0274549314647512
6111.311.3673508054713-0.045991612149198911.27864080667790.0673508054713334
6211.411.49284734371-0.013502453129184611.32065510941920.0928473437100266
6311.411.33834418444610.098986403393497711.3626694121605-0.0616558155539479
6411.411.34050691199520.054525994970637911.4049670930342-0.0594930880047926
6511.411.3690666457658-0.016331419673651911.4472647739079-0.0309333542342092
6611.411.3136672864596-0.0036991236582121511.4900318371986-0.0863327135403633
6711.511.4693789617159-0.0021778622051547411.5327989004893-0.0306210382841332
6811.611.61637095171450.0076036591332722811.57602538915220.0163709517145456
6911.611.6522518268862-0.071503704701239811.61925187781510.0522518268861649
7011.711.7587972796441-0.027793414848594811.66899613520450.0587972796441303
7111.711.6986759654046-0.017416357998473611.7187403925939-0.00132403459538111
7211.811.78803925992630.03729991528795811.7746608247858-0.0119607400737483
7311.811.8154103551715-0.045991612149198911.83058125697770.0154103551714737
7411.811.7246821883877-0.013502453129184611.8888202647415-0.0753178116123046
7511.911.75395432410120.098986403393497711.9470592725053-0.146045675898751
761211.93774138818120.054525994970637912.0077326168481-0.0622586118187503
7712.112.1479254584827-0.016331419673651912.0684059611910.0479254584826769
7812.212.2686335830248-0.0036991236582121512.13506554063340.0686335830247984
7912.212.2004527421293-0.0021778622051547412.20172512007590.000452742129303019
8012.312.32569024034810.0076036591332722812.26670610051870.0256902403480783
8112.312.3398166237398-0.071503704701239812.33168708096150.0398166237397888
8212.312.2394684234237-0.027793414848594812.3883249914249-0.0605315765762917
8312.512.5724534561102-0.017416357998473612.44496290188830.0724534561101517
8412.612.66586935005590.03729991528795812.49683073465610.0658693500559053
8512.612.6972930447252-0.045991612149198912.5486985674240.097293044725248
8612.612.609928752798-0.013502453129184612.60357370033120.00992875279795236
8712.612.4425647633680.098986403393497712.6584488332385-0.15743523663201
8812.712.63071933241360.054525994970637912.7147546726158-0.0692806675864066
8912.712.6452709076806-0.016331419673651912.771060511993-0.0547290923193771
9012.812.7742196777457-0.0036991236582121512.8294794459125-0.0257803222543114
9112.912.9142794823731-0.0021778622051547412.8878983798320.0142794823731354
921313.04398235910280.0076036591332722812.9484139817640.0439823591027722
931313.0625741210053-0.071503704701239813.00892958369590.0625741210053459
941312.960031789347-0.027793414848594813.0677616255016-0.0399682106530079
9513.213.2908226906912-0.017416357998473613.12659366730730.0908226906911587
9613.213.17983509030710.03729991528795813.1828649944049-0.0201649096928715
9713.313.4068552906467-0.045991612149198913.23913632150250.106855290646688
9813.313.3105233980073-0.013502453129184613.30297905512190.0105233980073063
9913.313.13419180786530.098986403393497713.3668217887412-0.165808192134744
10013.413.29595189951270.054525994970637913.4495221055167-0.104048100487324
10113.413.2841089973815-0.016331419673651913.5322224222921-0.115891002618476
10213.513.3643860326626-0.0036991236582121513.6393130909956-0.135613967337399
10313.613.4557741025061-0.0021778622051547413.7464037596991-0.144225897493937
10413.813.66511796932490.0076036591332722813.9272783715418-0.134882030675078
10513.813.5633507213167-0.071503704701239814.1081529833845-0.236649278683279
10614.214.122076792158-0.027793414848594814.3057166226906-0.0779232078419945
10714.314.1141360960018-0.017416357998473614.5032802619967-0.185863903998182
10814.514.25712026711720.03729991528795814.7055798175949-0.242879732882836
10914.614.3381122389561-0.045991612149198914.9078793731931-0.261887761043896
11014.814.4973384707927-0.013502453129184615.1161639823365-0.302661529207343
11115.916.37656500512650.098986403393497715.324448591480.47656500512654
11216.116.60635665781490.054525994970637915.53911734721450.506356657814905



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')