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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 computationSun, 28 Nov 2010 19:38:12 +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/Nov/28/t1290973024o5y7odpgkvdqlm8.htm/, Retrieved Thu, 02 May 2024 23:01:24 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=102713, Retrieved Thu, 02 May 2024 23:01:24 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact171
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Decomposition by Loess] [HPC Retail Sales] [2008-03-06 11:35:25] [74be16979710d4c4e7c6647856088456]
-  M D  [Decomposition by Loess] [WS8 - Seasonal De...] [2010-11-27 11:05:46] [4a7069087cf9e0eda253aeed7d8c30d6]
-   PD      [Decomposition by Loess] [Paper - Ontleden ...] [2010-11-28 19:38:12] [cfd788255f1b1b5389e58d7f218c70bf] [Current]
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Dataseries X:
376.974
377.632
378.205
370.861
369.167
371.551
382.842
381.903
384.502
392.058
384.359
388.884
386.586
387.495
385.705
378.67
377.367
376.911
389.827
387.82
387.267
380.575
372.402
376.74
377.795
376.126
370.804
367.98
367.866
366.121
379.421
378.519
372.423
355.072
344.693
342.892
344.178
337.606
327.103
323.953
316.532
306.307
327.225
329.573
313.761
307.836
300.074
304.198
306.122
300.414
292.133
290.616
280.244
285.179
305.486
305.957
293.886
289.441
288.776
299.149
306.532
309.914
313.468
314.901
309.16
316.15
336.544
339.196
326.738
320.838
318.62
331.533
335.378




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'George Udny Yule' @ 72.249.76.132

\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 & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=102713&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=102713&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=102713&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'George Udny Yule' @ 72.249.76.132







Seasonal Decomposition by Loess - Parameters
ComponentWindowDegreeJump
Seasonal601
Trend2513
Low-pass1312

\begin{tabular}{lllllllll}
\hline
Seasonal Decomposition by Loess - Parameters \tabularnewline
Component & Window & Degree & Jump \tabularnewline
Seasonal & 6 & 0 & 1 \tabularnewline
Trend & 25 & 1 & 3 \tabularnewline
Low-pass & 13 & 1 & 2 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=102713&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]6[/C][C]0[/C][C]1[/C][/ROW]
[ROW][C]Trend[/C][C]25[/C][C]1[/C][C]3[/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=102713&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=102713&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
Seasonal601
Trend2513
Low-pass1312







Seasonal Decomposition by Loess - Time Series Components
tObservedFittedSeasonalTrendRemainder
1376.974376.8528411841031.39666215551412375.698496660383-0.121158815897445
2377.632377.6525049969971.18998682196537376.4215081810380.0205049969970901
3378.205380.746717714999-1.48123741669063377.1445197016922.54171771499887
4370.861369.968599135819-6.1141303581653377.867531222346-0.892400864180672
5369.167367.111941419978-7.31788517761092378.539943757633-2.05505858002232
6371.551371.234064615834-7.34442090875446379.212356292921-0.316935384166129
7382.842378.1180276713487.68120350044368379.884768828208-4.72397232865154
8381.903375.0819846552388.25224580165441380.471769543108-6.82101534476243
9384.502381.9238323898356.02139735215633381.058770258008-2.5781676101646
10392.058400.0372813740922.43294765299928381.6457709729097.97928137409218
11384.359391.061330536261-4.55047896364941382.2071484273886.70233053626146
12388.884395.193898905675-0.194424787542112382.7685258818676.30989890567474
13386.586388.3026699368541.53942672679881383.3299033363471.71666993685437
14387.495390.4815685392711.16726920006560383.3411622606632.98656853927099
15385.705389.897128039618-1.83954922459815383.352421184984.19212803961818
16378.67379.928814311847-5.952494421143383.3636801092971.25881431184649
17377.367379.213596445601-7.30729016235381382.8276937167531.84659644560105
18376.911379.061004349502-7.53071167371151382.2917073242092.15000434950241
19389.827389.7270193973098.17125967102592381.755720931665-0.0999806026912324
20387.82385.7059959863099.05740758540277380.876596428288-2.1140040136911
21387.267388.4952180242546.04131005083486379.9974719249111.22821802425375
22380.575380.0750950319881.95655754647763379.118347421534-0.499904968012061
23372.402371.567684662562-4.81474381260356378.051059150042-0.834315337438227
24376.74376.817042993964-0.320813872513268376.9837708785490.0770429939641417
25377.795377.8424204142081.83109697873571375.9164826070570.0474204142077497
26376.126376.8925069304301.09098004130532374.2685130282640.766506930430467
27370.804371.803314661848-2.81585811131975372.6205434494720.999314661847848
28367.98370.558059008139-5.57063287881822370.9725738706802.57805900813872
29367.866374.434809960277-7.21577249658098368.5129625363046.56880996027701
30366.121374.069973454769-7.88132465669714366.0533512019287.94897345476875
31379.421385.6331887340119.61507139843627363.5937398675536.21218873401091
32378.519385.42780485267811.293203595027360.3169915522956.90880485267792
33372.423381.5097903060206.29596645694237357.0402432370379.08679030602036
34355.072356.0811369647230.299368113497655353.7634949217801.00913696472281
35344.693345.358824089799-5.8496985705883349.8768744807890.665824089799003
36342.892340.739947517666-0.94620155746526345.990254039799-2.15205248233383
37344.178343.7963204021582.45604599903296342.103633598809-0.38167959784181
38337.606336.23681047280.863323497079608338.11186603012-1.36918952719975
39327.103323.793065805356-3.70716426678783334.120098461431-3.30993419464352
40323.953322.317167691408-4.53949858415075330.128330892743-1.63583230859194
41316.532314.904498609133-8.35667965792747326.516181048794-1.62750139086677
42306.307297.837777467816-8.12780867266217322.904031204846-8.46922253218366
43327.225323.63772464152611.5203939975769319.291881360897-3.58727535847424
44329.573329.3714334668113.5496104506251316.224956082565-0.201566533189862
45313.761309.9128496134374.45111958233082313.158030804232-3.84815038656268
46307.836308.293553688150-2.71265921404871310.0911055258990.457553688149574
47300.074300.227383970857-7.79076278732193307.7113788164650.153383970856737
48304.198304.739870446485-1.67552255351604305.3316521070310.541870446484836
49306.122306.5802045033712.71187009903231302.9519253975970.458204503370496
50300.414297.9626581456201.39117363855984301.47416821582-2.45134185437962
51292.133286.796816722185-2.52722775622684299.996411034042-5.33618327781545
52290.616285.869205888449-3.15585974071365298.518653852265-4.7467941115512
53280.244270.711369557786-8.39257657497088298.169207017185-9.5326304422137
54285.179279.841522686635-7.30328286873933297.819760182104-5.33747731336501
55305.486301.01272691072112.4889597422547297.470313347024-4.47327308927873
56305.957299.29803188750214.2018962157057298.414071896793-6.65896811249843
57293.886285.0894083357033.32476121773556299.357830446561-8.79659166429695
58289.441282.265972006695-3.68556100302478300.30158899633-7.17502799330538
59288.776283.747179243298-8.44487164022667302.249692396929-5.02882075670237
60299.149295.38079875964-1.28059455716791304.197795797528-3.76820124036004
61306.532304.1019852292582.81611557261548306.145899198127-2.43001477074239
62309.914309.7839391201341.51295955279666308.531101327070-0.130060879866221
63313.468318.293411740831-2.27371519684366310.9163034560124.82541174083138
64314.901319.290905071698-2.79041065665266313.3015055849554.38990507169768
65309.16311.215967727038-8.6208032073962315.7248354803582.05596772703819
66316.15321.331898080463-7.18006345622393318.1481653757615.18189808046282
67336.544339.76844298996112.7480617388747320.5714952711643.22444298996118
68339.196341.06526699750214.3247096689275323.0020233335701.86926699750222
69326.738325.2755023094562.76794629456754325.432551395977-1.46249769054413
70320.838317.89624404803-4.08332350641307327.863079458383-2.9417559519697
71318.62315.669227870992-8.67999865978614330.250770788794-2.95077212900833
72331.533331.554585706432-1.12704782563754332.6384621192060.0215857064314946
73335.378332.8390335136422.89081303674004335.026153449618-2.53896648635777

\begin{tabular}{lllllllll}
\hline
Seasonal Decomposition by Loess - Time Series Components \tabularnewline
t & Observed & Fitted & Seasonal & Trend & Remainder \tabularnewline
1 & 376.974 & 376.852841184103 & 1.39666215551412 & 375.698496660383 & -0.121158815897445 \tabularnewline
2 & 377.632 & 377.652504996997 & 1.18998682196537 & 376.421508181038 & 0.0205049969970901 \tabularnewline
3 & 378.205 & 380.746717714999 & -1.48123741669063 & 377.144519701692 & 2.54171771499887 \tabularnewline
4 & 370.861 & 369.968599135819 & -6.1141303581653 & 377.867531222346 & -0.892400864180672 \tabularnewline
5 & 369.167 & 367.111941419978 & -7.31788517761092 & 378.539943757633 & -2.05505858002232 \tabularnewline
6 & 371.551 & 371.234064615834 & -7.34442090875446 & 379.212356292921 & -0.316935384166129 \tabularnewline
7 & 382.842 & 378.118027671348 & 7.68120350044368 & 379.884768828208 & -4.72397232865154 \tabularnewline
8 & 381.903 & 375.081984655238 & 8.25224580165441 & 380.471769543108 & -6.82101534476243 \tabularnewline
9 & 384.502 & 381.923832389835 & 6.02139735215633 & 381.058770258008 & -2.5781676101646 \tabularnewline
10 & 392.058 & 400.037281374092 & 2.43294765299928 & 381.645770972909 & 7.97928137409218 \tabularnewline
11 & 384.359 & 391.061330536261 & -4.55047896364941 & 382.207148427388 & 6.70233053626146 \tabularnewline
12 & 388.884 & 395.193898905675 & -0.194424787542112 & 382.768525881867 & 6.30989890567474 \tabularnewline
13 & 386.586 & 388.302669936854 & 1.53942672679881 & 383.329903336347 & 1.71666993685437 \tabularnewline
14 & 387.495 & 390.481568539271 & 1.16726920006560 & 383.341162260663 & 2.98656853927099 \tabularnewline
15 & 385.705 & 389.897128039618 & -1.83954922459815 & 383.35242118498 & 4.19212803961818 \tabularnewline
16 & 378.67 & 379.928814311847 & -5.952494421143 & 383.363680109297 & 1.25881431184649 \tabularnewline
17 & 377.367 & 379.213596445601 & -7.30729016235381 & 382.827693716753 & 1.84659644560105 \tabularnewline
18 & 376.911 & 379.061004349502 & -7.53071167371151 & 382.291707324209 & 2.15000434950241 \tabularnewline
19 & 389.827 & 389.727019397309 & 8.17125967102592 & 381.755720931665 & -0.0999806026912324 \tabularnewline
20 & 387.82 & 385.705995986309 & 9.05740758540277 & 380.876596428288 & -2.1140040136911 \tabularnewline
21 & 387.267 & 388.495218024254 & 6.04131005083486 & 379.997471924911 & 1.22821802425375 \tabularnewline
22 & 380.575 & 380.075095031988 & 1.95655754647763 & 379.118347421534 & -0.499904968012061 \tabularnewline
23 & 372.402 & 371.567684662562 & -4.81474381260356 & 378.051059150042 & -0.834315337438227 \tabularnewline
24 & 376.74 & 376.817042993964 & -0.320813872513268 & 376.983770878549 & 0.0770429939641417 \tabularnewline
25 & 377.795 & 377.842420414208 & 1.83109697873571 & 375.916482607057 & 0.0474204142077497 \tabularnewline
26 & 376.126 & 376.892506930430 & 1.09098004130532 & 374.268513028264 & 0.766506930430467 \tabularnewline
27 & 370.804 & 371.803314661848 & -2.81585811131975 & 372.620543449472 & 0.999314661847848 \tabularnewline
28 & 367.98 & 370.558059008139 & -5.57063287881822 & 370.972573870680 & 2.57805900813872 \tabularnewline
29 & 367.866 & 374.434809960277 & -7.21577249658098 & 368.512962536304 & 6.56880996027701 \tabularnewline
30 & 366.121 & 374.069973454769 & -7.88132465669714 & 366.053351201928 & 7.94897345476875 \tabularnewline
31 & 379.421 & 385.633188734011 & 9.61507139843627 & 363.593739867553 & 6.21218873401091 \tabularnewline
32 & 378.519 & 385.427804852678 & 11.293203595027 & 360.316991552295 & 6.90880485267792 \tabularnewline
33 & 372.423 & 381.509790306020 & 6.29596645694237 & 357.040243237037 & 9.08679030602036 \tabularnewline
34 & 355.072 & 356.081136964723 & 0.299368113497655 & 353.763494921780 & 1.00913696472281 \tabularnewline
35 & 344.693 & 345.358824089799 & -5.8496985705883 & 349.876874480789 & 0.665824089799003 \tabularnewline
36 & 342.892 & 340.739947517666 & -0.94620155746526 & 345.990254039799 & -2.15205248233383 \tabularnewline
37 & 344.178 & 343.796320402158 & 2.45604599903296 & 342.103633598809 & -0.38167959784181 \tabularnewline
38 & 337.606 & 336.2368104728 & 0.863323497079608 & 338.11186603012 & -1.36918952719975 \tabularnewline
39 & 327.103 & 323.793065805356 & -3.70716426678783 & 334.120098461431 & -3.30993419464352 \tabularnewline
40 & 323.953 & 322.317167691408 & -4.53949858415075 & 330.128330892743 & -1.63583230859194 \tabularnewline
41 & 316.532 & 314.904498609133 & -8.35667965792747 & 326.516181048794 & -1.62750139086677 \tabularnewline
42 & 306.307 & 297.837777467816 & -8.12780867266217 & 322.904031204846 & -8.46922253218366 \tabularnewline
43 & 327.225 & 323.637724641526 & 11.5203939975769 & 319.291881360897 & -3.58727535847424 \tabularnewline
44 & 329.573 & 329.37143346681 & 13.5496104506251 & 316.224956082565 & -0.201566533189862 \tabularnewline
45 & 313.761 & 309.912849613437 & 4.45111958233082 & 313.158030804232 & -3.84815038656268 \tabularnewline
46 & 307.836 & 308.293553688150 & -2.71265921404871 & 310.091105525899 & 0.457553688149574 \tabularnewline
47 & 300.074 & 300.227383970857 & -7.79076278732193 & 307.711378816465 & 0.153383970856737 \tabularnewline
48 & 304.198 & 304.739870446485 & -1.67552255351604 & 305.331652107031 & 0.541870446484836 \tabularnewline
49 & 306.122 & 306.580204503371 & 2.71187009903231 & 302.951925397597 & 0.458204503370496 \tabularnewline
50 & 300.414 & 297.962658145620 & 1.39117363855984 & 301.47416821582 & -2.45134185437962 \tabularnewline
51 & 292.133 & 286.796816722185 & -2.52722775622684 & 299.996411034042 & -5.33618327781545 \tabularnewline
52 & 290.616 & 285.869205888449 & -3.15585974071365 & 298.518653852265 & -4.7467941115512 \tabularnewline
53 & 280.244 & 270.711369557786 & -8.39257657497088 & 298.169207017185 & -9.5326304422137 \tabularnewline
54 & 285.179 & 279.841522686635 & -7.30328286873933 & 297.819760182104 & -5.33747731336501 \tabularnewline
55 & 305.486 & 301.012726910721 & 12.4889597422547 & 297.470313347024 & -4.47327308927873 \tabularnewline
56 & 305.957 & 299.298031887502 & 14.2018962157057 & 298.414071896793 & -6.65896811249843 \tabularnewline
57 & 293.886 & 285.089408335703 & 3.32476121773556 & 299.357830446561 & -8.79659166429695 \tabularnewline
58 & 289.441 & 282.265972006695 & -3.68556100302478 & 300.30158899633 & -7.17502799330538 \tabularnewline
59 & 288.776 & 283.747179243298 & -8.44487164022667 & 302.249692396929 & -5.02882075670237 \tabularnewline
60 & 299.149 & 295.38079875964 & -1.28059455716791 & 304.197795797528 & -3.76820124036004 \tabularnewline
61 & 306.532 & 304.101985229258 & 2.81611557261548 & 306.145899198127 & -2.43001477074239 \tabularnewline
62 & 309.914 & 309.783939120134 & 1.51295955279666 & 308.531101327070 & -0.130060879866221 \tabularnewline
63 & 313.468 & 318.293411740831 & -2.27371519684366 & 310.916303456012 & 4.82541174083138 \tabularnewline
64 & 314.901 & 319.290905071698 & -2.79041065665266 & 313.301505584955 & 4.38990507169768 \tabularnewline
65 & 309.16 & 311.215967727038 & -8.6208032073962 & 315.724835480358 & 2.05596772703819 \tabularnewline
66 & 316.15 & 321.331898080463 & -7.18006345622393 & 318.148165375761 & 5.18189808046282 \tabularnewline
67 & 336.544 & 339.768442989961 & 12.7480617388747 & 320.571495271164 & 3.22444298996118 \tabularnewline
68 & 339.196 & 341.065266997502 & 14.3247096689275 & 323.002023333570 & 1.86926699750222 \tabularnewline
69 & 326.738 & 325.275502309456 & 2.76794629456754 & 325.432551395977 & -1.46249769054413 \tabularnewline
70 & 320.838 & 317.89624404803 & -4.08332350641307 & 327.863079458383 & -2.9417559519697 \tabularnewline
71 & 318.62 & 315.669227870992 & -8.67999865978614 & 330.250770788794 & -2.95077212900833 \tabularnewline
72 & 331.533 & 331.554585706432 & -1.12704782563754 & 332.638462119206 & 0.0215857064314946 \tabularnewline
73 & 335.378 & 332.839033513642 & 2.89081303674004 & 335.026153449618 & -2.53896648635777 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=102713&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]376.974[/C][C]376.852841184103[/C][C]1.39666215551412[/C][C]375.698496660383[/C][C]-0.121158815897445[/C][/ROW]
[ROW][C]2[/C][C]377.632[/C][C]377.652504996997[/C][C]1.18998682196537[/C][C]376.421508181038[/C][C]0.0205049969970901[/C][/ROW]
[ROW][C]3[/C][C]378.205[/C][C]380.746717714999[/C][C]-1.48123741669063[/C][C]377.144519701692[/C][C]2.54171771499887[/C][/ROW]
[ROW][C]4[/C][C]370.861[/C][C]369.968599135819[/C][C]-6.1141303581653[/C][C]377.867531222346[/C][C]-0.892400864180672[/C][/ROW]
[ROW][C]5[/C][C]369.167[/C][C]367.111941419978[/C][C]-7.31788517761092[/C][C]378.539943757633[/C][C]-2.05505858002232[/C][/ROW]
[ROW][C]6[/C][C]371.551[/C][C]371.234064615834[/C][C]-7.34442090875446[/C][C]379.212356292921[/C][C]-0.316935384166129[/C][/ROW]
[ROW][C]7[/C][C]382.842[/C][C]378.118027671348[/C][C]7.68120350044368[/C][C]379.884768828208[/C][C]-4.72397232865154[/C][/ROW]
[ROW][C]8[/C][C]381.903[/C][C]375.081984655238[/C][C]8.25224580165441[/C][C]380.471769543108[/C][C]-6.82101534476243[/C][/ROW]
[ROW][C]9[/C][C]384.502[/C][C]381.923832389835[/C][C]6.02139735215633[/C][C]381.058770258008[/C][C]-2.5781676101646[/C][/ROW]
[ROW][C]10[/C][C]392.058[/C][C]400.037281374092[/C][C]2.43294765299928[/C][C]381.645770972909[/C][C]7.97928137409218[/C][/ROW]
[ROW][C]11[/C][C]384.359[/C][C]391.061330536261[/C][C]-4.55047896364941[/C][C]382.207148427388[/C][C]6.70233053626146[/C][/ROW]
[ROW][C]12[/C][C]388.884[/C][C]395.193898905675[/C][C]-0.194424787542112[/C][C]382.768525881867[/C][C]6.30989890567474[/C][/ROW]
[ROW][C]13[/C][C]386.586[/C][C]388.302669936854[/C][C]1.53942672679881[/C][C]383.329903336347[/C][C]1.71666993685437[/C][/ROW]
[ROW][C]14[/C][C]387.495[/C][C]390.481568539271[/C][C]1.16726920006560[/C][C]383.341162260663[/C][C]2.98656853927099[/C][/ROW]
[ROW][C]15[/C][C]385.705[/C][C]389.897128039618[/C][C]-1.83954922459815[/C][C]383.35242118498[/C][C]4.19212803961818[/C][/ROW]
[ROW][C]16[/C][C]378.67[/C][C]379.928814311847[/C][C]-5.952494421143[/C][C]383.363680109297[/C][C]1.25881431184649[/C][/ROW]
[ROW][C]17[/C][C]377.367[/C][C]379.213596445601[/C][C]-7.30729016235381[/C][C]382.827693716753[/C][C]1.84659644560105[/C][/ROW]
[ROW][C]18[/C][C]376.911[/C][C]379.061004349502[/C][C]-7.53071167371151[/C][C]382.291707324209[/C][C]2.15000434950241[/C][/ROW]
[ROW][C]19[/C][C]389.827[/C][C]389.727019397309[/C][C]8.17125967102592[/C][C]381.755720931665[/C][C]-0.0999806026912324[/C][/ROW]
[ROW][C]20[/C][C]387.82[/C][C]385.705995986309[/C][C]9.05740758540277[/C][C]380.876596428288[/C][C]-2.1140040136911[/C][/ROW]
[ROW][C]21[/C][C]387.267[/C][C]388.495218024254[/C][C]6.04131005083486[/C][C]379.997471924911[/C][C]1.22821802425375[/C][/ROW]
[ROW][C]22[/C][C]380.575[/C][C]380.075095031988[/C][C]1.95655754647763[/C][C]379.118347421534[/C][C]-0.499904968012061[/C][/ROW]
[ROW][C]23[/C][C]372.402[/C][C]371.567684662562[/C][C]-4.81474381260356[/C][C]378.051059150042[/C][C]-0.834315337438227[/C][/ROW]
[ROW][C]24[/C][C]376.74[/C][C]376.817042993964[/C][C]-0.320813872513268[/C][C]376.983770878549[/C][C]0.0770429939641417[/C][/ROW]
[ROW][C]25[/C][C]377.795[/C][C]377.842420414208[/C][C]1.83109697873571[/C][C]375.916482607057[/C][C]0.0474204142077497[/C][/ROW]
[ROW][C]26[/C][C]376.126[/C][C]376.892506930430[/C][C]1.09098004130532[/C][C]374.268513028264[/C][C]0.766506930430467[/C][/ROW]
[ROW][C]27[/C][C]370.804[/C][C]371.803314661848[/C][C]-2.81585811131975[/C][C]372.620543449472[/C][C]0.999314661847848[/C][/ROW]
[ROW][C]28[/C][C]367.98[/C][C]370.558059008139[/C][C]-5.57063287881822[/C][C]370.972573870680[/C][C]2.57805900813872[/C][/ROW]
[ROW][C]29[/C][C]367.866[/C][C]374.434809960277[/C][C]-7.21577249658098[/C][C]368.512962536304[/C][C]6.56880996027701[/C][/ROW]
[ROW][C]30[/C][C]366.121[/C][C]374.069973454769[/C][C]-7.88132465669714[/C][C]366.053351201928[/C][C]7.94897345476875[/C][/ROW]
[ROW][C]31[/C][C]379.421[/C][C]385.633188734011[/C][C]9.61507139843627[/C][C]363.593739867553[/C][C]6.21218873401091[/C][/ROW]
[ROW][C]32[/C][C]378.519[/C][C]385.427804852678[/C][C]11.293203595027[/C][C]360.316991552295[/C][C]6.90880485267792[/C][/ROW]
[ROW][C]33[/C][C]372.423[/C][C]381.509790306020[/C][C]6.29596645694237[/C][C]357.040243237037[/C][C]9.08679030602036[/C][/ROW]
[ROW][C]34[/C][C]355.072[/C][C]356.081136964723[/C][C]0.299368113497655[/C][C]353.763494921780[/C][C]1.00913696472281[/C][/ROW]
[ROW][C]35[/C][C]344.693[/C][C]345.358824089799[/C][C]-5.8496985705883[/C][C]349.876874480789[/C][C]0.665824089799003[/C][/ROW]
[ROW][C]36[/C][C]342.892[/C][C]340.739947517666[/C][C]-0.94620155746526[/C][C]345.990254039799[/C][C]-2.15205248233383[/C][/ROW]
[ROW][C]37[/C][C]344.178[/C][C]343.796320402158[/C][C]2.45604599903296[/C][C]342.103633598809[/C][C]-0.38167959784181[/C][/ROW]
[ROW][C]38[/C][C]337.606[/C][C]336.2368104728[/C][C]0.863323497079608[/C][C]338.11186603012[/C][C]-1.36918952719975[/C][/ROW]
[ROW][C]39[/C][C]327.103[/C][C]323.793065805356[/C][C]-3.70716426678783[/C][C]334.120098461431[/C][C]-3.30993419464352[/C][/ROW]
[ROW][C]40[/C][C]323.953[/C][C]322.317167691408[/C][C]-4.53949858415075[/C][C]330.128330892743[/C][C]-1.63583230859194[/C][/ROW]
[ROW][C]41[/C][C]316.532[/C][C]314.904498609133[/C][C]-8.35667965792747[/C][C]326.516181048794[/C][C]-1.62750139086677[/C][/ROW]
[ROW][C]42[/C][C]306.307[/C][C]297.837777467816[/C][C]-8.12780867266217[/C][C]322.904031204846[/C][C]-8.46922253218366[/C][/ROW]
[ROW][C]43[/C][C]327.225[/C][C]323.637724641526[/C][C]11.5203939975769[/C][C]319.291881360897[/C][C]-3.58727535847424[/C][/ROW]
[ROW][C]44[/C][C]329.573[/C][C]329.37143346681[/C][C]13.5496104506251[/C][C]316.224956082565[/C][C]-0.201566533189862[/C][/ROW]
[ROW][C]45[/C][C]313.761[/C][C]309.912849613437[/C][C]4.45111958233082[/C][C]313.158030804232[/C][C]-3.84815038656268[/C][/ROW]
[ROW][C]46[/C][C]307.836[/C][C]308.293553688150[/C][C]-2.71265921404871[/C][C]310.091105525899[/C][C]0.457553688149574[/C][/ROW]
[ROW][C]47[/C][C]300.074[/C][C]300.227383970857[/C][C]-7.79076278732193[/C][C]307.711378816465[/C][C]0.153383970856737[/C][/ROW]
[ROW][C]48[/C][C]304.198[/C][C]304.739870446485[/C][C]-1.67552255351604[/C][C]305.331652107031[/C][C]0.541870446484836[/C][/ROW]
[ROW][C]49[/C][C]306.122[/C][C]306.580204503371[/C][C]2.71187009903231[/C][C]302.951925397597[/C][C]0.458204503370496[/C][/ROW]
[ROW][C]50[/C][C]300.414[/C][C]297.962658145620[/C][C]1.39117363855984[/C][C]301.47416821582[/C][C]-2.45134185437962[/C][/ROW]
[ROW][C]51[/C][C]292.133[/C][C]286.796816722185[/C][C]-2.52722775622684[/C][C]299.996411034042[/C][C]-5.33618327781545[/C][/ROW]
[ROW][C]52[/C][C]290.616[/C][C]285.869205888449[/C][C]-3.15585974071365[/C][C]298.518653852265[/C][C]-4.7467941115512[/C][/ROW]
[ROW][C]53[/C][C]280.244[/C][C]270.711369557786[/C][C]-8.39257657497088[/C][C]298.169207017185[/C][C]-9.5326304422137[/C][/ROW]
[ROW][C]54[/C][C]285.179[/C][C]279.841522686635[/C][C]-7.30328286873933[/C][C]297.819760182104[/C][C]-5.33747731336501[/C][/ROW]
[ROW][C]55[/C][C]305.486[/C][C]301.012726910721[/C][C]12.4889597422547[/C][C]297.470313347024[/C][C]-4.47327308927873[/C][/ROW]
[ROW][C]56[/C][C]305.957[/C][C]299.298031887502[/C][C]14.2018962157057[/C][C]298.414071896793[/C][C]-6.65896811249843[/C][/ROW]
[ROW][C]57[/C][C]293.886[/C][C]285.089408335703[/C][C]3.32476121773556[/C][C]299.357830446561[/C][C]-8.79659166429695[/C][/ROW]
[ROW][C]58[/C][C]289.441[/C][C]282.265972006695[/C][C]-3.68556100302478[/C][C]300.30158899633[/C][C]-7.17502799330538[/C][/ROW]
[ROW][C]59[/C][C]288.776[/C][C]283.747179243298[/C][C]-8.44487164022667[/C][C]302.249692396929[/C][C]-5.02882075670237[/C][/ROW]
[ROW][C]60[/C][C]299.149[/C][C]295.38079875964[/C][C]-1.28059455716791[/C][C]304.197795797528[/C][C]-3.76820124036004[/C][/ROW]
[ROW][C]61[/C][C]306.532[/C][C]304.101985229258[/C][C]2.81611557261548[/C][C]306.145899198127[/C][C]-2.43001477074239[/C][/ROW]
[ROW][C]62[/C][C]309.914[/C][C]309.783939120134[/C][C]1.51295955279666[/C][C]308.531101327070[/C][C]-0.130060879866221[/C][/ROW]
[ROW][C]63[/C][C]313.468[/C][C]318.293411740831[/C][C]-2.27371519684366[/C][C]310.916303456012[/C][C]4.82541174083138[/C][/ROW]
[ROW][C]64[/C][C]314.901[/C][C]319.290905071698[/C][C]-2.79041065665266[/C][C]313.301505584955[/C][C]4.38990507169768[/C][/ROW]
[ROW][C]65[/C][C]309.16[/C][C]311.215967727038[/C][C]-8.6208032073962[/C][C]315.724835480358[/C][C]2.05596772703819[/C][/ROW]
[ROW][C]66[/C][C]316.15[/C][C]321.331898080463[/C][C]-7.18006345622393[/C][C]318.148165375761[/C][C]5.18189808046282[/C][/ROW]
[ROW][C]67[/C][C]336.544[/C][C]339.768442989961[/C][C]12.7480617388747[/C][C]320.571495271164[/C][C]3.22444298996118[/C][/ROW]
[ROW][C]68[/C][C]339.196[/C][C]341.065266997502[/C][C]14.3247096689275[/C][C]323.002023333570[/C][C]1.86926699750222[/C][/ROW]
[ROW][C]69[/C][C]326.738[/C][C]325.275502309456[/C][C]2.76794629456754[/C][C]325.432551395977[/C][C]-1.46249769054413[/C][/ROW]
[ROW][C]70[/C][C]320.838[/C][C]317.89624404803[/C][C]-4.08332350641307[/C][C]327.863079458383[/C][C]-2.9417559519697[/C][/ROW]
[ROW][C]71[/C][C]318.62[/C][C]315.669227870992[/C][C]-8.67999865978614[/C][C]330.250770788794[/C][C]-2.95077212900833[/C][/ROW]
[ROW][C]72[/C][C]331.533[/C][C]331.554585706432[/C][C]-1.12704782563754[/C][C]332.638462119206[/C][C]0.0215857064314946[/C][/ROW]
[ROW][C]73[/C][C]335.378[/C][C]332.839033513642[/C][C]2.89081303674004[/C][C]335.026153449618[/C][C]-2.53896648635777[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=102713&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=102713&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
1376.974376.8528411841031.39666215551412375.698496660383-0.121158815897445
2377.632377.6525049969971.18998682196537376.4215081810380.0205049969970901
3378.205380.746717714999-1.48123741669063377.1445197016922.54171771499887
4370.861369.968599135819-6.1141303581653377.867531222346-0.892400864180672
5369.167367.111941419978-7.31788517761092378.539943757633-2.05505858002232
6371.551371.234064615834-7.34442090875446379.212356292921-0.316935384166129
7382.842378.1180276713487.68120350044368379.884768828208-4.72397232865154
8381.903375.0819846552388.25224580165441380.471769543108-6.82101534476243
9384.502381.9238323898356.02139735215633381.058770258008-2.5781676101646
10392.058400.0372813740922.43294765299928381.6457709729097.97928137409218
11384.359391.061330536261-4.55047896364941382.2071484273886.70233053626146
12388.884395.193898905675-0.194424787542112382.7685258818676.30989890567474
13386.586388.3026699368541.53942672679881383.3299033363471.71666993685437
14387.495390.4815685392711.16726920006560383.3411622606632.98656853927099
15385.705389.897128039618-1.83954922459815383.352421184984.19212803961818
16378.67379.928814311847-5.952494421143383.3636801092971.25881431184649
17377.367379.213596445601-7.30729016235381382.8276937167531.84659644560105
18376.911379.061004349502-7.53071167371151382.2917073242092.15000434950241
19389.827389.7270193973098.17125967102592381.755720931665-0.0999806026912324
20387.82385.7059959863099.05740758540277380.876596428288-2.1140040136911
21387.267388.4952180242546.04131005083486379.9974719249111.22821802425375
22380.575380.0750950319881.95655754647763379.118347421534-0.499904968012061
23372.402371.567684662562-4.81474381260356378.051059150042-0.834315337438227
24376.74376.817042993964-0.320813872513268376.9837708785490.0770429939641417
25377.795377.8424204142081.83109697873571375.9164826070570.0474204142077497
26376.126376.8925069304301.09098004130532374.2685130282640.766506930430467
27370.804371.803314661848-2.81585811131975372.6205434494720.999314661847848
28367.98370.558059008139-5.57063287881822370.9725738706802.57805900813872
29367.866374.434809960277-7.21577249658098368.5129625363046.56880996027701
30366.121374.069973454769-7.88132465669714366.0533512019287.94897345476875
31379.421385.6331887340119.61507139843627363.5937398675536.21218873401091
32378.519385.42780485267811.293203595027360.3169915522956.90880485267792
33372.423381.5097903060206.29596645694237357.0402432370379.08679030602036
34355.072356.0811369647230.299368113497655353.7634949217801.00913696472281
35344.693345.358824089799-5.8496985705883349.8768744807890.665824089799003
36342.892340.739947517666-0.94620155746526345.990254039799-2.15205248233383
37344.178343.7963204021582.45604599903296342.103633598809-0.38167959784181
38337.606336.23681047280.863323497079608338.11186603012-1.36918952719975
39327.103323.793065805356-3.70716426678783334.120098461431-3.30993419464352
40323.953322.317167691408-4.53949858415075330.128330892743-1.63583230859194
41316.532314.904498609133-8.35667965792747326.516181048794-1.62750139086677
42306.307297.837777467816-8.12780867266217322.904031204846-8.46922253218366
43327.225323.63772464152611.5203939975769319.291881360897-3.58727535847424
44329.573329.3714334668113.5496104506251316.224956082565-0.201566533189862
45313.761309.9128496134374.45111958233082313.158030804232-3.84815038656268
46307.836308.293553688150-2.71265921404871310.0911055258990.457553688149574
47300.074300.227383970857-7.79076278732193307.7113788164650.153383970856737
48304.198304.739870446485-1.67552255351604305.3316521070310.541870446484836
49306.122306.5802045033712.71187009903231302.9519253975970.458204503370496
50300.414297.9626581456201.39117363855984301.47416821582-2.45134185437962
51292.133286.796816722185-2.52722775622684299.996411034042-5.33618327781545
52290.616285.869205888449-3.15585974071365298.518653852265-4.7467941115512
53280.244270.711369557786-8.39257657497088298.169207017185-9.5326304422137
54285.179279.841522686635-7.30328286873933297.819760182104-5.33747731336501
55305.486301.01272691072112.4889597422547297.470313347024-4.47327308927873
56305.957299.29803188750214.2018962157057298.414071896793-6.65896811249843
57293.886285.0894083357033.32476121773556299.357830446561-8.79659166429695
58289.441282.265972006695-3.68556100302478300.30158899633-7.17502799330538
59288.776283.747179243298-8.44487164022667302.249692396929-5.02882075670237
60299.149295.38079875964-1.28059455716791304.197795797528-3.76820124036004
61306.532304.1019852292582.81611557261548306.145899198127-2.43001477074239
62309.914309.7839391201341.51295955279666308.531101327070-0.130060879866221
63313.468318.293411740831-2.27371519684366310.9163034560124.82541174083138
64314.901319.290905071698-2.79041065665266313.3015055849554.38990507169768
65309.16311.215967727038-8.6208032073962315.7248354803582.05596772703819
66316.15321.331898080463-7.18006345622393318.1481653757615.18189808046282
67336.544339.76844298996112.7480617388747320.5714952711643.22444298996118
68339.196341.06526699750214.3247096689275323.0020233335701.86926699750222
69326.738325.2755023094562.76794629456754325.432551395977-1.46249769054413
70320.838317.89624404803-4.08332350641307327.863079458383-2.9417559519697
71318.62315.669227870992-8.67999865978614330.250770788794-2.95077212900833
72331.533331.554585706432-1.12704782563754332.6384621192060.0215857064314946
73335.378332.8390335136422.89081303674004335.026153449618-2.53896648635777



Parameters (Session):
par1 = 12 ; par2 = 6 ; par3 = 0 ; par5 = 1 ; par7 = 1 ; par8 = FALSE ;
Parameters (R input):
par1 = 12 ; par2 = 6 ; 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')