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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 computationTue, 28 Dec 2010 18:45:08 +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/2010/Dec/28/t1293561809myg0vs24cvp3pb8.htm/, Retrieved Sun, 05 May 2024 03:56:22 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=116475, Retrieved Sun, 05 May 2024 03:56:22 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact96
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Decomposition by Loess] [Paper] [2010-12-28 18:45:08] [d5e0edb7e0239841e94676417b2a1e2e] [Current]
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Dataseries X:
9782
9938
10111
10259
10419
10622
11173
11542
11538
11837
12060
12423
12791
12891
13098
13418
13614
13653
13980
14087
14332
14232
14226
14186
14310
14152
14127
14163
13964
13811
14440
14724
14790
14961
15117
15452
16080
16284
16524
16782
16663
16678
17448
17745
17789
17864
18079
18483
19037
19344
19590
19862
20207
20593
21253
21507
21528
21818
22205
22621
23006
23178
23358
23519
23725
23789
24472
24773
24477
24669
24827





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk
R Framework error message
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.

\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 & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
R Framework error message & 
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.
\tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=116475&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]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[ROW][C]R Framework error message[/C][C]
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.
[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=116475&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116475&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'RServer@AstonUniversity' @ vre.aston.ac.uk
R Framework error message
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.







Seasonal Decomposition by Loess - Parameters
ComponentWindowDegreeJump
Seasonal711072
Trend1912
Low-pass1312

\begin{tabular}{lllllllll}
\hline
Seasonal Decomposition by Loess - Parameters \tabularnewline
Component & Window & Degree & Jump \tabularnewline
Seasonal & 711 & 0 & 72 \tabularnewline
Trend & 19 & 1 & 2 \tabularnewline
Low-pass & 13 & 1 & 2 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=116475&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]711[/C][C]0[/C][C]72[/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=116475&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116475&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
Seasonal711072
Trend1912
Low-pass1312







Seasonal Decomposition by Loess - Time Series Components
tObservedFittedSeasonalTrendRemainder
197829863.4055081154835.96594339845059664.6285484860781.4055081154838
2993810024.5465560593-51.53385475077099902.9872986914786.5465560592984
31011110179.6875712004-99.033620097315710141.346048896968.6875712004367
41025910216.6568732057-81.391295468774410382.7344222631-42.3431267942942
51041910378.6263281802-164.74912380949710624.1227956293-40.3736718197615
61062210618.1146805578-242.05183007909710867.9371495213-3.88531944216993
71117311042.6029299119191.64556667485511111.7515034133-130.397070088131
81154211451.2925852828276.04336258232111356.6640521349-90.7074147172498
91153811369.9820829042104.44131623922711601.5766008566-168.017917095807
101183711775.422464624142.084441787684211856.4930935882-61.5775353759218
111206011994.529444822914.060968857244912111.4095863199-65.4705551771367
121242312505.2112538105-25.481939929525112366.27068611982.2112538105193
131279112924.902270683435.965943398450512621.1317859181133.902270683431
141289112980.2301408163-51.533854750770912853.303713934589.2301408162639
151309813209.5579781464-99.033620097315713085.4756419509111.557978146418
161341813635.2999186144-81.391295468774413282.0913768543217.299918614428
171361413914.0420120517-164.74912380949713478.7071117578300.042012051703
181365313918.6177237655-242.05183007909713629.4341063136265.617723765481
191398013988.1933324557191.64556667485513780.16110086948.19333245570851
201408714015.3771214539276.04336258232113882.5795159637-71.6228785460662
211433214574.5607527027104.44131623922713984.9979310581242.560752702719
221423214377.240217452642.084441787684214044.6753407597145.240217452631
231422614333.586280681414.060968857244914104.3527504613107.586280681444
241418614260.4291249839-25.481939929525114137.052814945674.4291249838752
251431014414.281177171635.965943398450514169.75287943104.281177171562
261415214152.5446037679-51.533854750770914202.98925098290.544603767859371
271412714116.8079975615-99.033620097315714236.2256225358-10.1920024385181
281416314116.3219385685-81.391295468774414291.0693569003-46.6780614314866
291396413746.8360325448-164.74912380949714345.9130912647-217.163967455192
301381113412.6740502982-242.05183007909714451.3777797809-398.32594970183
311444014131.511965028191.64556667485514556.8424682972-308.488034972022
321472414443.8218243729276.04336258232114728.1348130448-280.17817562709
331479014576.1315259684104.44131623922714899.4271577924-213.868474031598
341496114755.877412819342.084441787684215124.038145393-205.122587180676
351511714871.289898149114.060968857244915348.6491329936-245.710101850855
361545215330.9646540346-25.481939929525115598.517285895-121.035345965442
371608016275.648617805235.965943398450515848.3854387963195.648617805226
381628416518.3796683194-51.533854750770916101.1541864314234.37966831935
391652416793.1106860308-99.033620097315716353.9229340665269.110686030795
401678217048.4559714511-81.391295468774416596.9353240176266.455971451123
411666316650.8014098407-164.74912380949716839.9477139688-12.1985901592889
421667816521.1734520662-242.05183007909717076.8783780129-156.826547933848
431744817390.545391268191.64556667485517313.8090420571-57.4546087319613
441774517653.5556588117276.04336258232117560.400978606-91.4443411882748
451778917666.565768606104.44131623922717806.9929151548-122.434231394025
461786417602.269220599342.084441787684218083.646337613-261.730779400659
471807917783.639271071614.060968857244918360.2997600711-295.360728928394
481848318320.2968986775-25.481939929525118671.185041252-162.703101322484
491903719055.963734168735.965943398450518982.070322432918.9637341686794
501934419431.011592396-51.533854750770919308.522262354887.0115923959675
511959019644.0594178206-99.033620097315719634.974202276754.0594178205793
521986219839.4432184734-81.391295468774419965.9480769953-22.5567815265713
532020720281.8271720955-164.74912380949720296.921951713974.8271720955454
542059320801.2126999515-242.05183007909720626.8391301276208.212699951499
552125321357.5981247839191.64556667485520956.7563085413104.598124783894
562150721461.1055592112276.04336258232121276.8510782065-45.8944407888484
572152821354.612835889104.44131623922721596.9458478718-173.387164111031
582181821693.124344886642.084441787684221900.7912133257-124.87565511341
592220522191.302452363114.060968857244922204.6365787796-13.6975476368898
602262122778.1565188395-25.481939929525122489.32542109157.156518839507
612300623202.019793201235.965943398450522774.0142634004196.019793201154
622317823383.5114459547-51.533854750770923024.0224087961205.511445954682
632335823541.0030659055-99.033620097315723274.0305541918183.003065905537
642351923624.2033347774-81.391295468774423495.1879606914105.203334777394
652372523898.4037566185-164.74912380949723716.345367191173.403756618514
662378923886.1400055072-242.05183007909723933.911824571997.1400055072409
672447224600.8761513724191.64556667485524151.4782819527128.876151372409
682477324906.0550815544276.04336258232124363.9015558633133.055081554405
692447724273.233853987104.44131623922724576.3248297738-203.766146013037
702466924513.3699642242.084441787684224782.5455939923-155.630035779992
712482724651.172672931914.060968857244924988.7663582108-175.827327068051

\begin{tabular}{lllllllll}
\hline
Seasonal Decomposition by Loess - Time Series Components \tabularnewline
t & Observed & Fitted & Seasonal & Trend & Remainder \tabularnewline
1 & 9782 & 9863.40550811548 & 35.9659433984505 & 9664.62854848607 & 81.4055081154838 \tabularnewline
2 & 9938 & 10024.5465560593 & -51.5338547507709 & 9902.98729869147 & 86.5465560592984 \tabularnewline
3 & 10111 & 10179.6875712004 & -99.0336200973157 & 10141.3460488969 & 68.6875712004367 \tabularnewline
4 & 10259 & 10216.6568732057 & -81.3912954687744 & 10382.7344222631 & -42.3431267942942 \tabularnewline
5 & 10419 & 10378.6263281802 & -164.749123809497 & 10624.1227956293 & -40.3736718197615 \tabularnewline
6 & 10622 & 10618.1146805578 & -242.051830079097 & 10867.9371495213 & -3.88531944216993 \tabularnewline
7 & 11173 & 11042.6029299119 & 191.645566674855 & 11111.7515034133 & -130.397070088131 \tabularnewline
8 & 11542 & 11451.2925852828 & 276.043362582321 & 11356.6640521349 & -90.7074147172498 \tabularnewline
9 & 11538 & 11369.9820829042 & 104.441316239227 & 11601.5766008566 & -168.017917095807 \tabularnewline
10 & 11837 & 11775.4224646241 & 42.0844417876842 & 11856.4930935882 & -61.5775353759218 \tabularnewline
11 & 12060 & 11994.5294448229 & 14.0609688572449 & 12111.4095863199 & -65.4705551771367 \tabularnewline
12 & 12423 & 12505.2112538105 & -25.4819399295251 & 12366.270686119 & 82.2112538105193 \tabularnewline
13 & 12791 & 12924.9022706834 & 35.9659433984505 & 12621.1317859181 & 133.902270683431 \tabularnewline
14 & 12891 & 12980.2301408163 & -51.5338547507709 & 12853.3037139345 & 89.2301408162639 \tabularnewline
15 & 13098 & 13209.5579781464 & -99.0336200973157 & 13085.4756419509 & 111.557978146418 \tabularnewline
16 & 13418 & 13635.2999186144 & -81.3912954687744 & 13282.0913768543 & 217.299918614428 \tabularnewline
17 & 13614 & 13914.0420120517 & -164.749123809497 & 13478.7071117578 & 300.042012051703 \tabularnewline
18 & 13653 & 13918.6177237655 & -242.051830079097 & 13629.4341063136 & 265.617723765481 \tabularnewline
19 & 13980 & 13988.1933324557 & 191.645566674855 & 13780.1611008694 & 8.19333245570851 \tabularnewline
20 & 14087 & 14015.3771214539 & 276.043362582321 & 13882.5795159637 & -71.6228785460662 \tabularnewline
21 & 14332 & 14574.5607527027 & 104.441316239227 & 13984.9979310581 & 242.560752702719 \tabularnewline
22 & 14232 & 14377.2402174526 & 42.0844417876842 & 14044.6753407597 & 145.240217452631 \tabularnewline
23 & 14226 & 14333.5862806814 & 14.0609688572449 & 14104.3527504613 & 107.586280681444 \tabularnewline
24 & 14186 & 14260.4291249839 & -25.4819399295251 & 14137.0528149456 & 74.4291249838752 \tabularnewline
25 & 14310 & 14414.2811771716 & 35.9659433984505 & 14169.75287943 & 104.281177171562 \tabularnewline
26 & 14152 & 14152.5446037679 & -51.5338547507709 & 14202.9892509829 & 0.544603767859371 \tabularnewline
27 & 14127 & 14116.8079975615 & -99.0336200973157 & 14236.2256225358 & -10.1920024385181 \tabularnewline
28 & 14163 & 14116.3219385685 & -81.3912954687744 & 14291.0693569003 & -46.6780614314866 \tabularnewline
29 & 13964 & 13746.8360325448 & -164.749123809497 & 14345.9130912647 & -217.163967455192 \tabularnewline
30 & 13811 & 13412.6740502982 & -242.051830079097 & 14451.3777797809 & -398.32594970183 \tabularnewline
31 & 14440 & 14131.511965028 & 191.645566674855 & 14556.8424682972 & -308.488034972022 \tabularnewline
32 & 14724 & 14443.8218243729 & 276.043362582321 & 14728.1348130448 & -280.17817562709 \tabularnewline
33 & 14790 & 14576.1315259684 & 104.441316239227 & 14899.4271577924 & -213.868474031598 \tabularnewline
34 & 14961 & 14755.8774128193 & 42.0844417876842 & 15124.038145393 & -205.122587180676 \tabularnewline
35 & 15117 & 14871.2898981491 & 14.0609688572449 & 15348.6491329936 & -245.710101850855 \tabularnewline
36 & 15452 & 15330.9646540346 & -25.4819399295251 & 15598.517285895 & -121.035345965442 \tabularnewline
37 & 16080 & 16275.6486178052 & 35.9659433984505 & 15848.3854387963 & 195.648617805226 \tabularnewline
38 & 16284 & 16518.3796683194 & -51.5338547507709 & 16101.1541864314 & 234.37966831935 \tabularnewline
39 & 16524 & 16793.1106860308 & -99.0336200973157 & 16353.9229340665 & 269.110686030795 \tabularnewline
40 & 16782 & 17048.4559714511 & -81.3912954687744 & 16596.9353240176 & 266.455971451123 \tabularnewline
41 & 16663 & 16650.8014098407 & -164.749123809497 & 16839.9477139688 & -12.1985901592889 \tabularnewline
42 & 16678 & 16521.1734520662 & -242.051830079097 & 17076.8783780129 & -156.826547933848 \tabularnewline
43 & 17448 & 17390.545391268 & 191.645566674855 & 17313.8090420571 & -57.4546087319613 \tabularnewline
44 & 17745 & 17653.5556588117 & 276.043362582321 & 17560.400978606 & -91.4443411882748 \tabularnewline
45 & 17789 & 17666.565768606 & 104.441316239227 & 17806.9929151548 & -122.434231394025 \tabularnewline
46 & 17864 & 17602.2692205993 & 42.0844417876842 & 18083.646337613 & -261.730779400659 \tabularnewline
47 & 18079 & 17783.6392710716 & 14.0609688572449 & 18360.2997600711 & -295.360728928394 \tabularnewline
48 & 18483 & 18320.2968986775 & -25.4819399295251 & 18671.185041252 & -162.703101322484 \tabularnewline
49 & 19037 & 19055.9637341687 & 35.9659433984505 & 18982.0703224329 & 18.9637341686794 \tabularnewline
50 & 19344 & 19431.011592396 & -51.5338547507709 & 19308.5222623548 & 87.0115923959675 \tabularnewline
51 & 19590 & 19644.0594178206 & -99.0336200973157 & 19634.9742022767 & 54.0594178205793 \tabularnewline
52 & 19862 & 19839.4432184734 & -81.3912954687744 & 19965.9480769953 & -22.5567815265713 \tabularnewline
53 & 20207 & 20281.8271720955 & -164.749123809497 & 20296.9219517139 & 74.8271720955454 \tabularnewline
54 & 20593 & 20801.2126999515 & -242.051830079097 & 20626.8391301276 & 208.212699951499 \tabularnewline
55 & 21253 & 21357.5981247839 & 191.645566674855 & 20956.7563085413 & 104.598124783894 \tabularnewline
56 & 21507 & 21461.1055592112 & 276.043362582321 & 21276.8510782065 & -45.8944407888484 \tabularnewline
57 & 21528 & 21354.612835889 & 104.441316239227 & 21596.9458478718 & -173.387164111031 \tabularnewline
58 & 21818 & 21693.1243448866 & 42.0844417876842 & 21900.7912133257 & -124.87565511341 \tabularnewline
59 & 22205 & 22191.3024523631 & 14.0609688572449 & 22204.6365787796 & -13.6975476368898 \tabularnewline
60 & 22621 & 22778.1565188395 & -25.4819399295251 & 22489.32542109 & 157.156518839507 \tabularnewline
61 & 23006 & 23202.0197932012 & 35.9659433984505 & 22774.0142634004 & 196.019793201154 \tabularnewline
62 & 23178 & 23383.5114459547 & -51.5338547507709 & 23024.0224087961 & 205.511445954682 \tabularnewline
63 & 23358 & 23541.0030659055 & -99.0336200973157 & 23274.0305541918 & 183.003065905537 \tabularnewline
64 & 23519 & 23624.2033347774 & -81.3912954687744 & 23495.1879606914 & 105.203334777394 \tabularnewline
65 & 23725 & 23898.4037566185 & -164.749123809497 & 23716.345367191 & 173.403756618514 \tabularnewline
66 & 23789 & 23886.1400055072 & -242.051830079097 & 23933.9118245719 & 97.1400055072409 \tabularnewline
67 & 24472 & 24600.8761513724 & 191.645566674855 & 24151.4782819527 & 128.876151372409 \tabularnewline
68 & 24773 & 24906.0550815544 & 276.043362582321 & 24363.9015558633 & 133.055081554405 \tabularnewline
69 & 24477 & 24273.233853987 & 104.441316239227 & 24576.3248297738 & -203.766146013037 \tabularnewline
70 & 24669 & 24513.36996422 & 42.0844417876842 & 24782.5455939923 & -155.630035779992 \tabularnewline
71 & 24827 & 24651.1726729319 & 14.0609688572449 & 24988.7663582108 & -175.827327068051 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=116475&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]9782[/C][C]9863.40550811548[/C][C]35.9659433984505[/C][C]9664.62854848607[/C][C]81.4055081154838[/C][/ROW]
[ROW][C]2[/C][C]9938[/C][C]10024.5465560593[/C][C]-51.5338547507709[/C][C]9902.98729869147[/C][C]86.5465560592984[/C][/ROW]
[ROW][C]3[/C][C]10111[/C][C]10179.6875712004[/C][C]-99.0336200973157[/C][C]10141.3460488969[/C][C]68.6875712004367[/C][/ROW]
[ROW][C]4[/C][C]10259[/C][C]10216.6568732057[/C][C]-81.3912954687744[/C][C]10382.7344222631[/C][C]-42.3431267942942[/C][/ROW]
[ROW][C]5[/C][C]10419[/C][C]10378.6263281802[/C][C]-164.749123809497[/C][C]10624.1227956293[/C][C]-40.3736718197615[/C][/ROW]
[ROW][C]6[/C][C]10622[/C][C]10618.1146805578[/C][C]-242.051830079097[/C][C]10867.9371495213[/C][C]-3.88531944216993[/C][/ROW]
[ROW][C]7[/C][C]11173[/C][C]11042.6029299119[/C][C]191.645566674855[/C][C]11111.7515034133[/C][C]-130.397070088131[/C][/ROW]
[ROW][C]8[/C][C]11542[/C][C]11451.2925852828[/C][C]276.043362582321[/C][C]11356.6640521349[/C][C]-90.7074147172498[/C][/ROW]
[ROW][C]9[/C][C]11538[/C][C]11369.9820829042[/C][C]104.441316239227[/C][C]11601.5766008566[/C][C]-168.017917095807[/C][/ROW]
[ROW][C]10[/C][C]11837[/C][C]11775.4224646241[/C][C]42.0844417876842[/C][C]11856.4930935882[/C][C]-61.5775353759218[/C][/ROW]
[ROW][C]11[/C][C]12060[/C][C]11994.5294448229[/C][C]14.0609688572449[/C][C]12111.4095863199[/C][C]-65.4705551771367[/C][/ROW]
[ROW][C]12[/C][C]12423[/C][C]12505.2112538105[/C][C]-25.4819399295251[/C][C]12366.270686119[/C][C]82.2112538105193[/C][/ROW]
[ROW][C]13[/C][C]12791[/C][C]12924.9022706834[/C][C]35.9659433984505[/C][C]12621.1317859181[/C][C]133.902270683431[/C][/ROW]
[ROW][C]14[/C][C]12891[/C][C]12980.2301408163[/C][C]-51.5338547507709[/C][C]12853.3037139345[/C][C]89.2301408162639[/C][/ROW]
[ROW][C]15[/C][C]13098[/C][C]13209.5579781464[/C][C]-99.0336200973157[/C][C]13085.4756419509[/C][C]111.557978146418[/C][/ROW]
[ROW][C]16[/C][C]13418[/C][C]13635.2999186144[/C][C]-81.3912954687744[/C][C]13282.0913768543[/C][C]217.299918614428[/C][/ROW]
[ROW][C]17[/C][C]13614[/C][C]13914.0420120517[/C][C]-164.749123809497[/C][C]13478.7071117578[/C][C]300.042012051703[/C][/ROW]
[ROW][C]18[/C][C]13653[/C][C]13918.6177237655[/C][C]-242.051830079097[/C][C]13629.4341063136[/C][C]265.617723765481[/C][/ROW]
[ROW][C]19[/C][C]13980[/C][C]13988.1933324557[/C][C]191.645566674855[/C][C]13780.1611008694[/C][C]8.19333245570851[/C][/ROW]
[ROW][C]20[/C][C]14087[/C][C]14015.3771214539[/C][C]276.043362582321[/C][C]13882.5795159637[/C][C]-71.6228785460662[/C][/ROW]
[ROW][C]21[/C][C]14332[/C][C]14574.5607527027[/C][C]104.441316239227[/C][C]13984.9979310581[/C][C]242.560752702719[/C][/ROW]
[ROW][C]22[/C][C]14232[/C][C]14377.2402174526[/C][C]42.0844417876842[/C][C]14044.6753407597[/C][C]145.240217452631[/C][/ROW]
[ROW][C]23[/C][C]14226[/C][C]14333.5862806814[/C][C]14.0609688572449[/C][C]14104.3527504613[/C][C]107.586280681444[/C][/ROW]
[ROW][C]24[/C][C]14186[/C][C]14260.4291249839[/C][C]-25.4819399295251[/C][C]14137.0528149456[/C][C]74.4291249838752[/C][/ROW]
[ROW][C]25[/C][C]14310[/C][C]14414.2811771716[/C][C]35.9659433984505[/C][C]14169.75287943[/C][C]104.281177171562[/C][/ROW]
[ROW][C]26[/C][C]14152[/C][C]14152.5446037679[/C][C]-51.5338547507709[/C][C]14202.9892509829[/C][C]0.544603767859371[/C][/ROW]
[ROW][C]27[/C][C]14127[/C][C]14116.8079975615[/C][C]-99.0336200973157[/C][C]14236.2256225358[/C][C]-10.1920024385181[/C][/ROW]
[ROW][C]28[/C][C]14163[/C][C]14116.3219385685[/C][C]-81.3912954687744[/C][C]14291.0693569003[/C][C]-46.6780614314866[/C][/ROW]
[ROW][C]29[/C][C]13964[/C][C]13746.8360325448[/C][C]-164.749123809497[/C][C]14345.9130912647[/C][C]-217.163967455192[/C][/ROW]
[ROW][C]30[/C][C]13811[/C][C]13412.6740502982[/C][C]-242.051830079097[/C][C]14451.3777797809[/C][C]-398.32594970183[/C][/ROW]
[ROW][C]31[/C][C]14440[/C][C]14131.511965028[/C][C]191.645566674855[/C][C]14556.8424682972[/C][C]-308.488034972022[/C][/ROW]
[ROW][C]32[/C][C]14724[/C][C]14443.8218243729[/C][C]276.043362582321[/C][C]14728.1348130448[/C][C]-280.17817562709[/C][/ROW]
[ROW][C]33[/C][C]14790[/C][C]14576.1315259684[/C][C]104.441316239227[/C][C]14899.4271577924[/C][C]-213.868474031598[/C][/ROW]
[ROW][C]34[/C][C]14961[/C][C]14755.8774128193[/C][C]42.0844417876842[/C][C]15124.038145393[/C][C]-205.122587180676[/C][/ROW]
[ROW][C]35[/C][C]15117[/C][C]14871.2898981491[/C][C]14.0609688572449[/C][C]15348.6491329936[/C][C]-245.710101850855[/C][/ROW]
[ROW][C]36[/C][C]15452[/C][C]15330.9646540346[/C][C]-25.4819399295251[/C][C]15598.517285895[/C][C]-121.035345965442[/C][/ROW]
[ROW][C]37[/C][C]16080[/C][C]16275.6486178052[/C][C]35.9659433984505[/C][C]15848.3854387963[/C][C]195.648617805226[/C][/ROW]
[ROW][C]38[/C][C]16284[/C][C]16518.3796683194[/C][C]-51.5338547507709[/C][C]16101.1541864314[/C][C]234.37966831935[/C][/ROW]
[ROW][C]39[/C][C]16524[/C][C]16793.1106860308[/C][C]-99.0336200973157[/C][C]16353.9229340665[/C][C]269.110686030795[/C][/ROW]
[ROW][C]40[/C][C]16782[/C][C]17048.4559714511[/C][C]-81.3912954687744[/C][C]16596.9353240176[/C][C]266.455971451123[/C][/ROW]
[ROW][C]41[/C][C]16663[/C][C]16650.8014098407[/C][C]-164.749123809497[/C][C]16839.9477139688[/C][C]-12.1985901592889[/C][/ROW]
[ROW][C]42[/C][C]16678[/C][C]16521.1734520662[/C][C]-242.051830079097[/C][C]17076.8783780129[/C][C]-156.826547933848[/C][/ROW]
[ROW][C]43[/C][C]17448[/C][C]17390.545391268[/C][C]191.645566674855[/C][C]17313.8090420571[/C][C]-57.4546087319613[/C][/ROW]
[ROW][C]44[/C][C]17745[/C][C]17653.5556588117[/C][C]276.043362582321[/C][C]17560.400978606[/C][C]-91.4443411882748[/C][/ROW]
[ROW][C]45[/C][C]17789[/C][C]17666.565768606[/C][C]104.441316239227[/C][C]17806.9929151548[/C][C]-122.434231394025[/C][/ROW]
[ROW][C]46[/C][C]17864[/C][C]17602.2692205993[/C][C]42.0844417876842[/C][C]18083.646337613[/C][C]-261.730779400659[/C][/ROW]
[ROW][C]47[/C][C]18079[/C][C]17783.6392710716[/C][C]14.0609688572449[/C][C]18360.2997600711[/C][C]-295.360728928394[/C][/ROW]
[ROW][C]48[/C][C]18483[/C][C]18320.2968986775[/C][C]-25.4819399295251[/C][C]18671.185041252[/C][C]-162.703101322484[/C][/ROW]
[ROW][C]49[/C][C]19037[/C][C]19055.9637341687[/C][C]35.9659433984505[/C][C]18982.0703224329[/C][C]18.9637341686794[/C][/ROW]
[ROW][C]50[/C][C]19344[/C][C]19431.011592396[/C][C]-51.5338547507709[/C][C]19308.5222623548[/C][C]87.0115923959675[/C][/ROW]
[ROW][C]51[/C][C]19590[/C][C]19644.0594178206[/C][C]-99.0336200973157[/C][C]19634.9742022767[/C][C]54.0594178205793[/C][/ROW]
[ROW][C]52[/C][C]19862[/C][C]19839.4432184734[/C][C]-81.3912954687744[/C][C]19965.9480769953[/C][C]-22.5567815265713[/C][/ROW]
[ROW][C]53[/C][C]20207[/C][C]20281.8271720955[/C][C]-164.749123809497[/C][C]20296.9219517139[/C][C]74.8271720955454[/C][/ROW]
[ROW][C]54[/C][C]20593[/C][C]20801.2126999515[/C][C]-242.051830079097[/C][C]20626.8391301276[/C][C]208.212699951499[/C][/ROW]
[ROW][C]55[/C][C]21253[/C][C]21357.5981247839[/C][C]191.645566674855[/C][C]20956.7563085413[/C][C]104.598124783894[/C][/ROW]
[ROW][C]56[/C][C]21507[/C][C]21461.1055592112[/C][C]276.043362582321[/C][C]21276.8510782065[/C][C]-45.8944407888484[/C][/ROW]
[ROW][C]57[/C][C]21528[/C][C]21354.612835889[/C][C]104.441316239227[/C][C]21596.9458478718[/C][C]-173.387164111031[/C][/ROW]
[ROW][C]58[/C][C]21818[/C][C]21693.1243448866[/C][C]42.0844417876842[/C][C]21900.7912133257[/C][C]-124.87565511341[/C][/ROW]
[ROW][C]59[/C][C]22205[/C][C]22191.3024523631[/C][C]14.0609688572449[/C][C]22204.6365787796[/C][C]-13.6975476368898[/C][/ROW]
[ROW][C]60[/C][C]22621[/C][C]22778.1565188395[/C][C]-25.4819399295251[/C][C]22489.32542109[/C][C]157.156518839507[/C][/ROW]
[ROW][C]61[/C][C]23006[/C][C]23202.0197932012[/C][C]35.9659433984505[/C][C]22774.0142634004[/C][C]196.019793201154[/C][/ROW]
[ROW][C]62[/C][C]23178[/C][C]23383.5114459547[/C][C]-51.5338547507709[/C][C]23024.0224087961[/C][C]205.511445954682[/C][/ROW]
[ROW][C]63[/C][C]23358[/C][C]23541.0030659055[/C][C]-99.0336200973157[/C][C]23274.0305541918[/C][C]183.003065905537[/C][/ROW]
[ROW][C]64[/C][C]23519[/C][C]23624.2033347774[/C][C]-81.3912954687744[/C][C]23495.1879606914[/C][C]105.203334777394[/C][/ROW]
[ROW][C]65[/C][C]23725[/C][C]23898.4037566185[/C][C]-164.749123809497[/C][C]23716.345367191[/C][C]173.403756618514[/C][/ROW]
[ROW][C]66[/C][C]23789[/C][C]23886.1400055072[/C][C]-242.051830079097[/C][C]23933.9118245719[/C][C]97.1400055072409[/C][/ROW]
[ROW][C]67[/C][C]24472[/C][C]24600.8761513724[/C][C]191.645566674855[/C][C]24151.4782819527[/C][C]128.876151372409[/C][/ROW]
[ROW][C]68[/C][C]24773[/C][C]24906.0550815544[/C][C]276.043362582321[/C][C]24363.9015558633[/C][C]133.055081554405[/C][/ROW]
[ROW][C]69[/C][C]24477[/C][C]24273.233853987[/C][C]104.441316239227[/C][C]24576.3248297738[/C][C]-203.766146013037[/C][/ROW]
[ROW][C]70[/C][C]24669[/C][C]24513.36996422[/C][C]42.0844417876842[/C][C]24782.5455939923[/C][C]-155.630035779992[/C][/ROW]
[ROW][C]71[/C][C]24827[/C][C]24651.1726729319[/C][C]14.0609688572449[/C][C]24988.7663582108[/C][C]-175.827327068051[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=116475&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116475&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
197829863.4055081154835.96594339845059664.6285484860781.4055081154838
2993810024.5465560593-51.53385475077099902.9872986914786.5465560592984
31011110179.6875712004-99.033620097315710141.346048896968.6875712004367
41025910216.6568732057-81.391295468774410382.7344222631-42.3431267942942
51041910378.6263281802-164.74912380949710624.1227956293-40.3736718197615
61062210618.1146805578-242.05183007909710867.9371495213-3.88531944216993
71117311042.6029299119191.64556667485511111.7515034133-130.397070088131
81154211451.2925852828276.04336258232111356.6640521349-90.7074147172498
91153811369.9820829042104.44131623922711601.5766008566-168.017917095807
101183711775.422464624142.084441787684211856.4930935882-61.5775353759218
111206011994.529444822914.060968857244912111.4095863199-65.4705551771367
121242312505.2112538105-25.481939929525112366.27068611982.2112538105193
131279112924.902270683435.965943398450512621.1317859181133.902270683431
141289112980.2301408163-51.533854750770912853.303713934589.2301408162639
151309813209.5579781464-99.033620097315713085.4756419509111.557978146418
161341813635.2999186144-81.391295468774413282.0913768543217.299918614428
171361413914.0420120517-164.74912380949713478.7071117578300.042012051703
181365313918.6177237655-242.05183007909713629.4341063136265.617723765481
191398013988.1933324557191.64556667485513780.16110086948.19333245570851
201408714015.3771214539276.04336258232113882.5795159637-71.6228785460662
211433214574.5607527027104.44131623922713984.9979310581242.560752702719
221423214377.240217452642.084441787684214044.6753407597145.240217452631
231422614333.586280681414.060968857244914104.3527504613107.586280681444
241418614260.4291249839-25.481939929525114137.052814945674.4291249838752
251431014414.281177171635.965943398450514169.75287943104.281177171562
261415214152.5446037679-51.533854750770914202.98925098290.544603767859371
271412714116.8079975615-99.033620097315714236.2256225358-10.1920024385181
281416314116.3219385685-81.391295468774414291.0693569003-46.6780614314866
291396413746.8360325448-164.74912380949714345.9130912647-217.163967455192
301381113412.6740502982-242.05183007909714451.3777797809-398.32594970183
311444014131.511965028191.64556667485514556.8424682972-308.488034972022
321472414443.8218243729276.04336258232114728.1348130448-280.17817562709
331479014576.1315259684104.44131623922714899.4271577924-213.868474031598
341496114755.877412819342.084441787684215124.038145393-205.122587180676
351511714871.289898149114.060968857244915348.6491329936-245.710101850855
361545215330.9646540346-25.481939929525115598.517285895-121.035345965442
371608016275.648617805235.965943398450515848.3854387963195.648617805226
381628416518.3796683194-51.533854750770916101.1541864314234.37966831935
391652416793.1106860308-99.033620097315716353.9229340665269.110686030795
401678217048.4559714511-81.391295468774416596.9353240176266.455971451123
411666316650.8014098407-164.74912380949716839.9477139688-12.1985901592889
421667816521.1734520662-242.05183007909717076.8783780129-156.826547933848
431744817390.545391268191.64556667485517313.8090420571-57.4546087319613
441774517653.5556588117276.04336258232117560.400978606-91.4443411882748
451778917666.565768606104.44131623922717806.9929151548-122.434231394025
461786417602.269220599342.084441787684218083.646337613-261.730779400659
471807917783.639271071614.060968857244918360.2997600711-295.360728928394
481848318320.2968986775-25.481939929525118671.185041252-162.703101322484
491903719055.963734168735.965943398450518982.070322432918.9637341686794
501934419431.011592396-51.533854750770919308.522262354887.0115923959675
511959019644.0594178206-99.033620097315719634.974202276754.0594178205793
521986219839.4432184734-81.391295468774419965.9480769953-22.5567815265713
532020720281.8271720955-164.74912380949720296.921951713974.8271720955454
542059320801.2126999515-242.05183007909720626.8391301276208.212699951499
552125321357.5981247839191.64556667485520956.7563085413104.598124783894
562150721461.1055592112276.04336258232121276.8510782065-45.8944407888484
572152821354.612835889104.44131623922721596.9458478718-173.387164111031
582181821693.124344886642.084441787684221900.7912133257-124.87565511341
592220522191.302452363114.060968857244922204.6365787796-13.6975476368898
602262122778.1565188395-25.481939929525122489.32542109157.156518839507
612300623202.019793201235.965943398450522774.0142634004196.019793201154
622317823383.5114459547-51.533854750770923024.0224087961205.511445954682
632335823541.0030659055-99.033620097315723274.0305541918183.003065905537
642351923624.2033347774-81.391295468774423495.1879606914105.203334777394
652372523898.4037566185-164.74912380949723716.345367191173.403756618514
662378923886.1400055072-242.05183007909723933.911824571997.1400055072409
672447224600.8761513724191.64556667485524151.4782819527128.876151372409
682477324906.0550815544276.04336258232124363.9015558633133.055081554405
692447724273.233853987104.44131623922724576.3248297738-203.766146013037
702466924513.3699642242.084441787684224782.5455939923-155.630035779992
712482724651.172672931914.060968857244924988.7663582108-175.827327068051



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')