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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, 07 Dec 2016 15:45:19 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2016/Dec/07/t1481121962u9gux2aibtb74iz.htm/, Retrieved Tue, 07 May 2024 05:57:26 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=298161, Retrieved Tue, 07 May 2024 05:57:26 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact63
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Decomposition by Loess] [Paper N2163] [2016-12-07 14:45:19] [1e2703d0f11438bcd65480dae45a3781] [Current]
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Dataseries X:
3875
3755
4670
4335
4945
4600
4395
4345
4390
4490
4395
4690
4590
4630
5375
4655
4975
4810
4445
4660
4215
4825
4250
3945
4390
4315
4835
4835
4970
4690
4700
4855
4610
4900
4250
4105
4740
4565
5155
5320
5430
4690
4540
4575
4660
4850
4200
4360
4655
4585
5315
5115
5100
5735
5260
5050
5165
5190
4720
5275
4605
4825
5595
5160
5320
5540
4970
5445
5305
5145
4895
4555
4980
4930
5810
5210
5450
5510
5010
5495
5125
5190
4565
4255
4875
4650
5295
5045
5430
5325
4920
5445
4895
5175
4545
4220
4595
4360
4750
4985
5140
4995
5150
5240
4875
5170
4715
4370
5160
4930
5600
5385
5425
5375
5365




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time2 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298161&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]2 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=298161&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298161&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 Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R ServerBig Analytics Cloud Computing Center







Seasonal Decomposition by Loess - Parameters
ComponentWindowDegreeJump
Seasonal11510116
Trend1912
Low-pass1312

\begin{tabular}{lllllllll}
\hline
Seasonal Decomposition by Loess - Parameters \tabularnewline
Component & Window & Degree & Jump \tabularnewline
Seasonal & 1151 & 0 & 116 \tabularnewline
Trend & 19 & 1 & 2 \tabularnewline
Low-pass & 13 & 1 & 2 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298161&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]1151[/C][C]0[/C][C]116[/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=298161&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298161&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
Seasonal11510116
Trend1912
Low-pass1312







Seasonal Decomposition by Loess - Time Series Components
tObservedFittedSeasonalTrendRemainder
138753859.03348995558-174.7941733944234065.76068343885-15.9665100444236
237553665.7436497912-280.384682021554124.64103223035-89.2563502088028
346704764.95390644039391.5247125377484183.5213810218694.9539064403943
443354282.73369103688144.0154549742294243.25085398889-52.2663089631151
549455241.01359560715346.0060774369344302.98032695591296.013595607154
646004591.92997956651244.2595830149754363.81043741851-8.07002043348712
743954382.84673075023-17.48727863134544424.64054788111-12.1532692497658
843454053.04995542946152.7960257613294484.15401880921-291.950044570543
943904300.18508621152-63.85257594883924543.66748973732-89.8149137884775
1044904276.46439992803115.485485395784588.05011467619-213.535600071968
1143954539.96591955243-382.3986591674844632.43273961506144.965919552426
1246905201.20066956534-475.1699958060064653.96932624067511.200669565341
1345904679.28826052815-174.7941733944234675.5059128662789.2882605281493
1446304859.2545561047-280.384682021554681.13012591685229.254556104698
1553755671.72094849482391.5247125377484686.75433896743296.720948494824
1646554493.24144806829144.0154549742294672.74309695748-161.758551931713
1749754945.26206761553346.0060774369344658.73185494754-29.7379323844734
1848104746.83187065437244.2595830149754628.90854633066-63.1681293456322
1944454308.40204091757-17.48727863134544599.08523771377-136.597959082428
2046604592.22638895942152.7960257613294574.97758527925-67.7736110405804
2142153942.98264310411-63.85257594883924550.86993284473-272.017356895892
2248254990.99224545989115.485485395784543.52226914433165.992245459891
2342504346.22405372356-382.3986591674844536.1746054439396.2240537235575
2439453822.05654281587-475.1699958060064543.11345299014-122.943457184129
2543904404.74187285808-174.7941733944234550.0523005363414.7418728580797
2643154345.96003370471-280.384682021554564.4246483168430.9600337047123
2748354699.67829136492391.5247125377484578.79699609733-135.321708635077
2848354932.83750240616144.0154549742294593.1470426196197.8375024061579
2949704986.49683342117346.0060774369344607.497089141916.4968334211699
3046904512.28357378049244.2595830149754623.45684320454-177.716426219512
3147004778.07068136417-17.48727863134544639.4165972671878.0706813641691
3248554894.45603936115152.7960257613294662.7479348775239.4560393611519
3346104597.77330346098-63.85257594883924686.07927248786-12.2266965390245
3449004969.54438378155115.485485395784714.9701308226769.5443837815537
3542504138.53767001002-382.3986591674844743.86098915747-111.462329989984
3641053927.66056293303-475.1699958060064757.50943287297-177.339437066968
3747404883.63629680594-174.7941733944234771.15787658848143.636296805944
3845654643.11411126855-280.384682021554767.27057075378.1141112685455
3951555155.09202254472391.5247125377484763.383264917530.0920225447243865
4053205739.63861667335144.0154549742294756.34592835242419.638616673355
4154305764.68533077576346.0060774369344749.3085917873334.685330775762
4246904390.56380861055244.2595830149754745.17660837448-299.436191389453
4345404356.4426536697-17.48727863134544741.04462496165-183.557346330304
4445754260.0099805518152.7960257613294737.19399368687-314.990019448203
4546604650.50921353674-63.85257594883924733.3433624121-9.49078646326143
4648504842.48483905112115.485485395784742.0296755531-7.5151609488812
4742004031.68267047338-382.3986591674844750.7159886941-168.317329526617
4843604406.32780349251-475.1699958060064788.842192313546.3278034925097
4946554657.82577746153-174.7941733944234826.968395932892.82577746153129
5045854573.7279613665-280.384682021554876.65672065505-11.2720386335004
5153155312.13024208505391.5247125377484926.34504537721-2.86975791495388
5251155116.1670529429144.0154549742294969.817492082871.16705294289932
5351004840.70398377453346.0060774369345013.28993878854-259.296016225469
5457356175.54726328637244.2595830149755050.19315369866440.547263286367
5552605450.39091002256-17.48727863134545087.09636860878190.390910022565
5650504837.05457478721152.7960257613295110.14939945146-212.945425212787
5751655260.6501456547-63.85257594883925133.2024302941495.650145654703
5851905124.45462348971115.485485395785140.05989111451-65.5453765102911
5947204675.4813072326-382.3986591674845146.91735193489-44.5186927674013
6052755880.46300614921-475.1699958060065144.7069896568605.463006149208
6146054242.29754601571-174.7941733944235142.49662737871-362.702453984288
6248254786.6941549852-280.384682021555143.69052703635-38.3058450148019
6355955653.59086076826391.5247125377485144.8844266939958.5908607682622
6451605029.68101356062144.0154549742295146.30353146515-130.318986439382
6553205146.27128632675346.0060774369345147.72263623631-173.728713673248
6655405688.85910955281244.2595830149755146.88130743221148.859109552812
6749704811.44730000323-17.48727863134545146.03997862811-158.552699996765
6854455582.46634460844152.7960257613295154.73762963023137.46634460844
6953055510.41729531649-63.85257594883925163.43528063235205.417295316486
7051455002.48321445895115.485485395785172.03130014527-142.516785541053
7148954991.77133950929-382.3986591674845180.6273196581996.7713395092915
7245554402.04016431963-475.1699958060065183.12983148638-152.95983568037
7349804949.16183007986-174.7941733944235185.63234331456-30.8381699201354
7449304956.437799963-280.384682021555183.9468820585526.4377999629978
7558106046.21386665971391.5247125377485182.26142080255236.213866659707
7652105101.63933170545144.0154549742295174.34521332032-108.360668294548
7754505387.56491672497346.0060774369345166.42900583809-62.435083275027
7855105627.43473277049244.2595830149755148.30568421453117.434732770494
7950104907.30491604038-17.48727863134545130.18236259097-102.695083959624
8054955732.47680399894152.7960257613295104.72717023973237.476803998945
8151255234.58059806036-63.85257594883925079.27197788848109.580598060355
8251905207.29438106049115.485485395785057.2201335437217.2943810604947
8345654477.23036996852-382.3986591674845035.16828919897-87.7696300314819
8442553964.43948887216-475.1699958060065020.73050693385-290.560511127839
8548754918.5014487257-174.7941733944235006.2927246687343.5014487256976
8646504580.73179435796-280.384682021554999.65288766359-69.2682056420363
8752955205.46223680381391.5247125377484993.01305065845-89.5377631961928
8850454953.37966099284144.0154549742294992.60488403293-91.6203390071641
8954305521.79720515564346.0060774369344992.1967174074391.7972051556408
9053255419.28636543101244.2595830149754986.4540515540194.286365431014
9149204876.77589293075-17.48727863134544980.7113857006-43.2241070692507
9254455779.91543368243152.7960257613294957.28854055624334.91543368243
9348954919.98688053695-63.85257594883924933.8656954118924.9868805369533
9451755330.51616584266115.485485395784903.99834876156155.51616584266
9545454598.26765705625-382.3986591674844874.1310021112353.2676570562498
9642204063.209672333-475.1699958060064851.96032347301-156.790327666999
9745954535.00452855965-174.7941733944234829.78964483478-59.9954714403539
9843604176.83048007154-280.384682021554823.55420195001-183.169519928459
9947504291.15652839701391.5247125377484817.31875906524-458.843471602985
10049854997.77524396348144.0154549742294828.2093010622912.7752439634814
10151405094.89407950373346.0060774369344839.09984305934-45.1059204962748
10249954875.41302385715244.2595830149754870.32739312787-119.586976142849
10351505415.93233543494-17.48727863134544901.55494319641265.932335434939
10452405379.79252174793152.7960257613294947.41145249074139.79252174793
10548754820.58461416376-63.85257594883924993.26796178508-54.4153858362379
10651705195.83145282476115.485485395785028.6830617794625.8314528247574
10747154748.30049739364-382.3986591674845064.0981617738533.3004973936377
10843704124.29829609927-475.1699958060065090.87169970674-245.701703900731
10951605377.14893575479-174.7941733944235117.64523763963217.148935754794
11049304995.69760619645-280.384682021555144.687075825165.6976061964488
11156005636.74637345168391.5247125377485171.7289140105736.7463734516796
11253855427.77339035514144.0154549742295198.2111546706342.773390355138
11354255279.30052723237346.0060774369345224.69339533069-145.699472767627
11453755255.58031105185244.2595830149755250.16010593318-119.419688948154
11553655471.86046209568-17.48727863134545275.62681653566106.860462095682

\begin{tabular}{lllllllll}
\hline
Seasonal Decomposition by Loess - Time Series Components \tabularnewline
t & Observed & Fitted & Seasonal & Trend & Remainder \tabularnewline
1 & 3875 & 3859.03348995558 & -174.794173394423 & 4065.76068343885 & -15.9665100444236 \tabularnewline
2 & 3755 & 3665.7436497912 & -280.38468202155 & 4124.64103223035 & -89.2563502088028 \tabularnewline
3 & 4670 & 4764.95390644039 & 391.524712537748 & 4183.52138102186 & 94.9539064403943 \tabularnewline
4 & 4335 & 4282.73369103688 & 144.015454974229 & 4243.25085398889 & -52.2663089631151 \tabularnewline
5 & 4945 & 5241.01359560715 & 346.006077436934 & 4302.98032695591 & 296.013595607154 \tabularnewline
6 & 4600 & 4591.92997956651 & 244.259583014975 & 4363.81043741851 & -8.07002043348712 \tabularnewline
7 & 4395 & 4382.84673075023 & -17.4872786313454 & 4424.64054788111 & -12.1532692497658 \tabularnewline
8 & 4345 & 4053.04995542946 & 152.796025761329 & 4484.15401880921 & -291.950044570543 \tabularnewline
9 & 4390 & 4300.18508621152 & -63.8525759488392 & 4543.66748973732 & -89.8149137884775 \tabularnewline
10 & 4490 & 4276.46439992803 & 115.48548539578 & 4588.05011467619 & -213.535600071968 \tabularnewline
11 & 4395 & 4539.96591955243 & -382.398659167484 & 4632.43273961506 & 144.965919552426 \tabularnewline
12 & 4690 & 5201.20066956534 & -475.169995806006 & 4653.96932624067 & 511.200669565341 \tabularnewline
13 & 4590 & 4679.28826052815 & -174.794173394423 & 4675.50591286627 & 89.2882605281493 \tabularnewline
14 & 4630 & 4859.2545561047 & -280.38468202155 & 4681.13012591685 & 229.254556104698 \tabularnewline
15 & 5375 & 5671.72094849482 & 391.524712537748 & 4686.75433896743 & 296.720948494824 \tabularnewline
16 & 4655 & 4493.24144806829 & 144.015454974229 & 4672.74309695748 & -161.758551931713 \tabularnewline
17 & 4975 & 4945.26206761553 & 346.006077436934 & 4658.73185494754 & -29.7379323844734 \tabularnewline
18 & 4810 & 4746.83187065437 & 244.259583014975 & 4628.90854633066 & -63.1681293456322 \tabularnewline
19 & 4445 & 4308.40204091757 & -17.4872786313454 & 4599.08523771377 & -136.597959082428 \tabularnewline
20 & 4660 & 4592.22638895942 & 152.796025761329 & 4574.97758527925 & -67.7736110405804 \tabularnewline
21 & 4215 & 3942.98264310411 & -63.8525759488392 & 4550.86993284473 & -272.017356895892 \tabularnewline
22 & 4825 & 4990.99224545989 & 115.48548539578 & 4543.52226914433 & 165.992245459891 \tabularnewline
23 & 4250 & 4346.22405372356 & -382.398659167484 & 4536.17460544393 & 96.2240537235575 \tabularnewline
24 & 3945 & 3822.05654281587 & -475.169995806006 & 4543.11345299014 & -122.943457184129 \tabularnewline
25 & 4390 & 4404.74187285808 & -174.794173394423 & 4550.05230053634 & 14.7418728580797 \tabularnewline
26 & 4315 & 4345.96003370471 & -280.38468202155 & 4564.42464831684 & 30.9600337047123 \tabularnewline
27 & 4835 & 4699.67829136492 & 391.524712537748 & 4578.79699609733 & -135.321708635077 \tabularnewline
28 & 4835 & 4932.83750240616 & 144.015454974229 & 4593.14704261961 & 97.8375024061579 \tabularnewline
29 & 4970 & 4986.49683342117 & 346.006077436934 & 4607.4970891419 & 16.4968334211699 \tabularnewline
30 & 4690 & 4512.28357378049 & 244.259583014975 & 4623.45684320454 & -177.716426219512 \tabularnewline
31 & 4700 & 4778.07068136417 & -17.4872786313454 & 4639.41659726718 & 78.0706813641691 \tabularnewline
32 & 4855 & 4894.45603936115 & 152.796025761329 & 4662.74793487752 & 39.4560393611519 \tabularnewline
33 & 4610 & 4597.77330346098 & -63.8525759488392 & 4686.07927248786 & -12.2266965390245 \tabularnewline
34 & 4900 & 4969.54438378155 & 115.48548539578 & 4714.97013082267 & 69.5443837815537 \tabularnewline
35 & 4250 & 4138.53767001002 & -382.398659167484 & 4743.86098915747 & -111.462329989984 \tabularnewline
36 & 4105 & 3927.66056293303 & -475.169995806006 & 4757.50943287297 & -177.339437066968 \tabularnewline
37 & 4740 & 4883.63629680594 & -174.794173394423 & 4771.15787658848 & 143.636296805944 \tabularnewline
38 & 4565 & 4643.11411126855 & -280.38468202155 & 4767.270570753 & 78.1141112685455 \tabularnewline
39 & 5155 & 5155.09202254472 & 391.524712537748 & 4763.38326491753 & 0.0920225447243865 \tabularnewline
40 & 5320 & 5739.63861667335 & 144.015454974229 & 4756.34592835242 & 419.638616673355 \tabularnewline
41 & 5430 & 5764.68533077576 & 346.006077436934 & 4749.3085917873 & 334.685330775762 \tabularnewline
42 & 4690 & 4390.56380861055 & 244.259583014975 & 4745.17660837448 & -299.436191389453 \tabularnewline
43 & 4540 & 4356.4426536697 & -17.4872786313454 & 4741.04462496165 & -183.557346330304 \tabularnewline
44 & 4575 & 4260.0099805518 & 152.796025761329 & 4737.19399368687 & -314.990019448203 \tabularnewline
45 & 4660 & 4650.50921353674 & -63.8525759488392 & 4733.3433624121 & -9.49078646326143 \tabularnewline
46 & 4850 & 4842.48483905112 & 115.48548539578 & 4742.0296755531 & -7.5151609488812 \tabularnewline
47 & 4200 & 4031.68267047338 & -382.398659167484 & 4750.7159886941 & -168.317329526617 \tabularnewline
48 & 4360 & 4406.32780349251 & -475.169995806006 & 4788.8421923135 & 46.3278034925097 \tabularnewline
49 & 4655 & 4657.82577746153 & -174.794173394423 & 4826.96839593289 & 2.82577746153129 \tabularnewline
50 & 4585 & 4573.7279613665 & -280.38468202155 & 4876.65672065505 & -11.2720386335004 \tabularnewline
51 & 5315 & 5312.13024208505 & 391.524712537748 & 4926.34504537721 & -2.86975791495388 \tabularnewline
52 & 5115 & 5116.1670529429 & 144.015454974229 & 4969.81749208287 & 1.16705294289932 \tabularnewline
53 & 5100 & 4840.70398377453 & 346.006077436934 & 5013.28993878854 & -259.296016225469 \tabularnewline
54 & 5735 & 6175.54726328637 & 244.259583014975 & 5050.19315369866 & 440.547263286367 \tabularnewline
55 & 5260 & 5450.39091002256 & -17.4872786313454 & 5087.09636860878 & 190.390910022565 \tabularnewline
56 & 5050 & 4837.05457478721 & 152.796025761329 & 5110.14939945146 & -212.945425212787 \tabularnewline
57 & 5165 & 5260.6501456547 & -63.8525759488392 & 5133.20243029414 & 95.650145654703 \tabularnewline
58 & 5190 & 5124.45462348971 & 115.48548539578 & 5140.05989111451 & -65.5453765102911 \tabularnewline
59 & 4720 & 4675.4813072326 & -382.398659167484 & 5146.91735193489 & -44.5186927674013 \tabularnewline
60 & 5275 & 5880.46300614921 & -475.169995806006 & 5144.7069896568 & 605.463006149208 \tabularnewline
61 & 4605 & 4242.29754601571 & -174.794173394423 & 5142.49662737871 & -362.702453984288 \tabularnewline
62 & 4825 & 4786.6941549852 & -280.38468202155 & 5143.69052703635 & -38.3058450148019 \tabularnewline
63 & 5595 & 5653.59086076826 & 391.524712537748 & 5144.88442669399 & 58.5908607682622 \tabularnewline
64 & 5160 & 5029.68101356062 & 144.015454974229 & 5146.30353146515 & -130.318986439382 \tabularnewline
65 & 5320 & 5146.27128632675 & 346.006077436934 & 5147.72263623631 & -173.728713673248 \tabularnewline
66 & 5540 & 5688.85910955281 & 244.259583014975 & 5146.88130743221 & 148.859109552812 \tabularnewline
67 & 4970 & 4811.44730000323 & -17.4872786313454 & 5146.03997862811 & -158.552699996765 \tabularnewline
68 & 5445 & 5582.46634460844 & 152.796025761329 & 5154.73762963023 & 137.46634460844 \tabularnewline
69 & 5305 & 5510.41729531649 & -63.8525759488392 & 5163.43528063235 & 205.417295316486 \tabularnewline
70 & 5145 & 5002.48321445895 & 115.48548539578 & 5172.03130014527 & -142.516785541053 \tabularnewline
71 & 4895 & 4991.77133950929 & -382.398659167484 & 5180.62731965819 & 96.7713395092915 \tabularnewline
72 & 4555 & 4402.04016431963 & -475.169995806006 & 5183.12983148638 & -152.95983568037 \tabularnewline
73 & 4980 & 4949.16183007986 & -174.794173394423 & 5185.63234331456 & -30.8381699201354 \tabularnewline
74 & 4930 & 4956.437799963 & -280.38468202155 & 5183.94688205855 & 26.4377999629978 \tabularnewline
75 & 5810 & 6046.21386665971 & 391.524712537748 & 5182.26142080255 & 236.213866659707 \tabularnewline
76 & 5210 & 5101.63933170545 & 144.015454974229 & 5174.34521332032 & -108.360668294548 \tabularnewline
77 & 5450 & 5387.56491672497 & 346.006077436934 & 5166.42900583809 & -62.435083275027 \tabularnewline
78 & 5510 & 5627.43473277049 & 244.259583014975 & 5148.30568421453 & 117.434732770494 \tabularnewline
79 & 5010 & 4907.30491604038 & -17.4872786313454 & 5130.18236259097 & -102.695083959624 \tabularnewline
80 & 5495 & 5732.47680399894 & 152.796025761329 & 5104.72717023973 & 237.476803998945 \tabularnewline
81 & 5125 & 5234.58059806036 & -63.8525759488392 & 5079.27197788848 & 109.580598060355 \tabularnewline
82 & 5190 & 5207.29438106049 & 115.48548539578 & 5057.22013354372 & 17.2943810604947 \tabularnewline
83 & 4565 & 4477.23036996852 & -382.398659167484 & 5035.16828919897 & -87.7696300314819 \tabularnewline
84 & 4255 & 3964.43948887216 & -475.169995806006 & 5020.73050693385 & -290.560511127839 \tabularnewline
85 & 4875 & 4918.5014487257 & -174.794173394423 & 5006.29272466873 & 43.5014487256976 \tabularnewline
86 & 4650 & 4580.73179435796 & -280.38468202155 & 4999.65288766359 & -69.2682056420363 \tabularnewline
87 & 5295 & 5205.46223680381 & 391.524712537748 & 4993.01305065845 & -89.5377631961928 \tabularnewline
88 & 5045 & 4953.37966099284 & 144.015454974229 & 4992.60488403293 & -91.6203390071641 \tabularnewline
89 & 5430 & 5521.79720515564 & 346.006077436934 & 4992.19671740743 & 91.7972051556408 \tabularnewline
90 & 5325 & 5419.28636543101 & 244.259583014975 & 4986.45405155401 & 94.286365431014 \tabularnewline
91 & 4920 & 4876.77589293075 & -17.4872786313454 & 4980.7113857006 & -43.2241070692507 \tabularnewline
92 & 5445 & 5779.91543368243 & 152.796025761329 & 4957.28854055624 & 334.91543368243 \tabularnewline
93 & 4895 & 4919.98688053695 & -63.8525759488392 & 4933.86569541189 & 24.9868805369533 \tabularnewline
94 & 5175 & 5330.51616584266 & 115.48548539578 & 4903.99834876156 & 155.51616584266 \tabularnewline
95 & 4545 & 4598.26765705625 & -382.398659167484 & 4874.13100211123 & 53.2676570562498 \tabularnewline
96 & 4220 & 4063.209672333 & -475.169995806006 & 4851.96032347301 & -156.790327666999 \tabularnewline
97 & 4595 & 4535.00452855965 & -174.794173394423 & 4829.78964483478 & -59.9954714403539 \tabularnewline
98 & 4360 & 4176.83048007154 & -280.38468202155 & 4823.55420195001 & -183.169519928459 \tabularnewline
99 & 4750 & 4291.15652839701 & 391.524712537748 & 4817.31875906524 & -458.843471602985 \tabularnewline
100 & 4985 & 4997.77524396348 & 144.015454974229 & 4828.20930106229 & 12.7752439634814 \tabularnewline
101 & 5140 & 5094.89407950373 & 346.006077436934 & 4839.09984305934 & -45.1059204962748 \tabularnewline
102 & 4995 & 4875.41302385715 & 244.259583014975 & 4870.32739312787 & -119.586976142849 \tabularnewline
103 & 5150 & 5415.93233543494 & -17.4872786313454 & 4901.55494319641 & 265.932335434939 \tabularnewline
104 & 5240 & 5379.79252174793 & 152.796025761329 & 4947.41145249074 & 139.79252174793 \tabularnewline
105 & 4875 & 4820.58461416376 & -63.8525759488392 & 4993.26796178508 & -54.4153858362379 \tabularnewline
106 & 5170 & 5195.83145282476 & 115.48548539578 & 5028.68306177946 & 25.8314528247574 \tabularnewline
107 & 4715 & 4748.30049739364 & -382.398659167484 & 5064.09816177385 & 33.3004973936377 \tabularnewline
108 & 4370 & 4124.29829609927 & -475.169995806006 & 5090.87169970674 & -245.701703900731 \tabularnewline
109 & 5160 & 5377.14893575479 & -174.794173394423 & 5117.64523763963 & 217.148935754794 \tabularnewline
110 & 4930 & 4995.69760619645 & -280.38468202155 & 5144.6870758251 & 65.6976061964488 \tabularnewline
111 & 5600 & 5636.74637345168 & 391.524712537748 & 5171.72891401057 & 36.7463734516796 \tabularnewline
112 & 5385 & 5427.77339035514 & 144.015454974229 & 5198.21115467063 & 42.773390355138 \tabularnewline
113 & 5425 & 5279.30052723237 & 346.006077436934 & 5224.69339533069 & -145.699472767627 \tabularnewline
114 & 5375 & 5255.58031105185 & 244.259583014975 & 5250.16010593318 & -119.419688948154 \tabularnewline
115 & 5365 & 5471.86046209568 & -17.4872786313454 & 5275.62681653566 & 106.860462095682 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298161&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]3875[/C][C]3859.03348995558[/C][C]-174.794173394423[/C][C]4065.76068343885[/C][C]-15.9665100444236[/C][/ROW]
[ROW][C]2[/C][C]3755[/C][C]3665.7436497912[/C][C]-280.38468202155[/C][C]4124.64103223035[/C][C]-89.2563502088028[/C][/ROW]
[ROW][C]3[/C][C]4670[/C][C]4764.95390644039[/C][C]391.524712537748[/C][C]4183.52138102186[/C][C]94.9539064403943[/C][/ROW]
[ROW][C]4[/C][C]4335[/C][C]4282.73369103688[/C][C]144.015454974229[/C][C]4243.25085398889[/C][C]-52.2663089631151[/C][/ROW]
[ROW][C]5[/C][C]4945[/C][C]5241.01359560715[/C][C]346.006077436934[/C][C]4302.98032695591[/C][C]296.013595607154[/C][/ROW]
[ROW][C]6[/C][C]4600[/C][C]4591.92997956651[/C][C]244.259583014975[/C][C]4363.81043741851[/C][C]-8.07002043348712[/C][/ROW]
[ROW][C]7[/C][C]4395[/C][C]4382.84673075023[/C][C]-17.4872786313454[/C][C]4424.64054788111[/C][C]-12.1532692497658[/C][/ROW]
[ROW][C]8[/C][C]4345[/C][C]4053.04995542946[/C][C]152.796025761329[/C][C]4484.15401880921[/C][C]-291.950044570543[/C][/ROW]
[ROW][C]9[/C][C]4390[/C][C]4300.18508621152[/C][C]-63.8525759488392[/C][C]4543.66748973732[/C][C]-89.8149137884775[/C][/ROW]
[ROW][C]10[/C][C]4490[/C][C]4276.46439992803[/C][C]115.48548539578[/C][C]4588.05011467619[/C][C]-213.535600071968[/C][/ROW]
[ROW][C]11[/C][C]4395[/C][C]4539.96591955243[/C][C]-382.398659167484[/C][C]4632.43273961506[/C][C]144.965919552426[/C][/ROW]
[ROW][C]12[/C][C]4690[/C][C]5201.20066956534[/C][C]-475.169995806006[/C][C]4653.96932624067[/C][C]511.200669565341[/C][/ROW]
[ROW][C]13[/C][C]4590[/C][C]4679.28826052815[/C][C]-174.794173394423[/C][C]4675.50591286627[/C][C]89.2882605281493[/C][/ROW]
[ROW][C]14[/C][C]4630[/C][C]4859.2545561047[/C][C]-280.38468202155[/C][C]4681.13012591685[/C][C]229.254556104698[/C][/ROW]
[ROW][C]15[/C][C]5375[/C][C]5671.72094849482[/C][C]391.524712537748[/C][C]4686.75433896743[/C][C]296.720948494824[/C][/ROW]
[ROW][C]16[/C][C]4655[/C][C]4493.24144806829[/C][C]144.015454974229[/C][C]4672.74309695748[/C][C]-161.758551931713[/C][/ROW]
[ROW][C]17[/C][C]4975[/C][C]4945.26206761553[/C][C]346.006077436934[/C][C]4658.73185494754[/C][C]-29.7379323844734[/C][/ROW]
[ROW][C]18[/C][C]4810[/C][C]4746.83187065437[/C][C]244.259583014975[/C][C]4628.90854633066[/C][C]-63.1681293456322[/C][/ROW]
[ROW][C]19[/C][C]4445[/C][C]4308.40204091757[/C][C]-17.4872786313454[/C][C]4599.08523771377[/C][C]-136.597959082428[/C][/ROW]
[ROW][C]20[/C][C]4660[/C][C]4592.22638895942[/C][C]152.796025761329[/C][C]4574.97758527925[/C][C]-67.7736110405804[/C][/ROW]
[ROW][C]21[/C][C]4215[/C][C]3942.98264310411[/C][C]-63.8525759488392[/C][C]4550.86993284473[/C][C]-272.017356895892[/C][/ROW]
[ROW][C]22[/C][C]4825[/C][C]4990.99224545989[/C][C]115.48548539578[/C][C]4543.52226914433[/C][C]165.992245459891[/C][/ROW]
[ROW][C]23[/C][C]4250[/C][C]4346.22405372356[/C][C]-382.398659167484[/C][C]4536.17460544393[/C][C]96.2240537235575[/C][/ROW]
[ROW][C]24[/C][C]3945[/C][C]3822.05654281587[/C][C]-475.169995806006[/C][C]4543.11345299014[/C][C]-122.943457184129[/C][/ROW]
[ROW][C]25[/C][C]4390[/C][C]4404.74187285808[/C][C]-174.794173394423[/C][C]4550.05230053634[/C][C]14.7418728580797[/C][/ROW]
[ROW][C]26[/C][C]4315[/C][C]4345.96003370471[/C][C]-280.38468202155[/C][C]4564.42464831684[/C][C]30.9600337047123[/C][/ROW]
[ROW][C]27[/C][C]4835[/C][C]4699.67829136492[/C][C]391.524712537748[/C][C]4578.79699609733[/C][C]-135.321708635077[/C][/ROW]
[ROW][C]28[/C][C]4835[/C][C]4932.83750240616[/C][C]144.015454974229[/C][C]4593.14704261961[/C][C]97.8375024061579[/C][/ROW]
[ROW][C]29[/C][C]4970[/C][C]4986.49683342117[/C][C]346.006077436934[/C][C]4607.4970891419[/C][C]16.4968334211699[/C][/ROW]
[ROW][C]30[/C][C]4690[/C][C]4512.28357378049[/C][C]244.259583014975[/C][C]4623.45684320454[/C][C]-177.716426219512[/C][/ROW]
[ROW][C]31[/C][C]4700[/C][C]4778.07068136417[/C][C]-17.4872786313454[/C][C]4639.41659726718[/C][C]78.0706813641691[/C][/ROW]
[ROW][C]32[/C][C]4855[/C][C]4894.45603936115[/C][C]152.796025761329[/C][C]4662.74793487752[/C][C]39.4560393611519[/C][/ROW]
[ROW][C]33[/C][C]4610[/C][C]4597.77330346098[/C][C]-63.8525759488392[/C][C]4686.07927248786[/C][C]-12.2266965390245[/C][/ROW]
[ROW][C]34[/C][C]4900[/C][C]4969.54438378155[/C][C]115.48548539578[/C][C]4714.97013082267[/C][C]69.5443837815537[/C][/ROW]
[ROW][C]35[/C][C]4250[/C][C]4138.53767001002[/C][C]-382.398659167484[/C][C]4743.86098915747[/C][C]-111.462329989984[/C][/ROW]
[ROW][C]36[/C][C]4105[/C][C]3927.66056293303[/C][C]-475.169995806006[/C][C]4757.50943287297[/C][C]-177.339437066968[/C][/ROW]
[ROW][C]37[/C][C]4740[/C][C]4883.63629680594[/C][C]-174.794173394423[/C][C]4771.15787658848[/C][C]143.636296805944[/C][/ROW]
[ROW][C]38[/C][C]4565[/C][C]4643.11411126855[/C][C]-280.38468202155[/C][C]4767.270570753[/C][C]78.1141112685455[/C][/ROW]
[ROW][C]39[/C][C]5155[/C][C]5155.09202254472[/C][C]391.524712537748[/C][C]4763.38326491753[/C][C]0.0920225447243865[/C][/ROW]
[ROW][C]40[/C][C]5320[/C][C]5739.63861667335[/C][C]144.015454974229[/C][C]4756.34592835242[/C][C]419.638616673355[/C][/ROW]
[ROW][C]41[/C][C]5430[/C][C]5764.68533077576[/C][C]346.006077436934[/C][C]4749.3085917873[/C][C]334.685330775762[/C][/ROW]
[ROW][C]42[/C][C]4690[/C][C]4390.56380861055[/C][C]244.259583014975[/C][C]4745.17660837448[/C][C]-299.436191389453[/C][/ROW]
[ROW][C]43[/C][C]4540[/C][C]4356.4426536697[/C][C]-17.4872786313454[/C][C]4741.04462496165[/C][C]-183.557346330304[/C][/ROW]
[ROW][C]44[/C][C]4575[/C][C]4260.0099805518[/C][C]152.796025761329[/C][C]4737.19399368687[/C][C]-314.990019448203[/C][/ROW]
[ROW][C]45[/C][C]4660[/C][C]4650.50921353674[/C][C]-63.8525759488392[/C][C]4733.3433624121[/C][C]-9.49078646326143[/C][/ROW]
[ROW][C]46[/C][C]4850[/C][C]4842.48483905112[/C][C]115.48548539578[/C][C]4742.0296755531[/C][C]-7.5151609488812[/C][/ROW]
[ROW][C]47[/C][C]4200[/C][C]4031.68267047338[/C][C]-382.398659167484[/C][C]4750.7159886941[/C][C]-168.317329526617[/C][/ROW]
[ROW][C]48[/C][C]4360[/C][C]4406.32780349251[/C][C]-475.169995806006[/C][C]4788.8421923135[/C][C]46.3278034925097[/C][/ROW]
[ROW][C]49[/C][C]4655[/C][C]4657.82577746153[/C][C]-174.794173394423[/C][C]4826.96839593289[/C][C]2.82577746153129[/C][/ROW]
[ROW][C]50[/C][C]4585[/C][C]4573.7279613665[/C][C]-280.38468202155[/C][C]4876.65672065505[/C][C]-11.2720386335004[/C][/ROW]
[ROW][C]51[/C][C]5315[/C][C]5312.13024208505[/C][C]391.524712537748[/C][C]4926.34504537721[/C][C]-2.86975791495388[/C][/ROW]
[ROW][C]52[/C][C]5115[/C][C]5116.1670529429[/C][C]144.015454974229[/C][C]4969.81749208287[/C][C]1.16705294289932[/C][/ROW]
[ROW][C]53[/C][C]5100[/C][C]4840.70398377453[/C][C]346.006077436934[/C][C]5013.28993878854[/C][C]-259.296016225469[/C][/ROW]
[ROW][C]54[/C][C]5735[/C][C]6175.54726328637[/C][C]244.259583014975[/C][C]5050.19315369866[/C][C]440.547263286367[/C][/ROW]
[ROW][C]55[/C][C]5260[/C][C]5450.39091002256[/C][C]-17.4872786313454[/C][C]5087.09636860878[/C][C]190.390910022565[/C][/ROW]
[ROW][C]56[/C][C]5050[/C][C]4837.05457478721[/C][C]152.796025761329[/C][C]5110.14939945146[/C][C]-212.945425212787[/C][/ROW]
[ROW][C]57[/C][C]5165[/C][C]5260.6501456547[/C][C]-63.8525759488392[/C][C]5133.20243029414[/C][C]95.650145654703[/C][/ROW]
[ROW][C]58[/C][C]5190[/C][C]5124.45462348971[/C][C]115.48548539578[/C][C]5140.05989111451[/C][C]-65.5453765102911[/C][/ROW]
[ROW][C]59[/C][C]4720[/C][C]4675.4813072326[/C][C]-382.398659167484[/C][C]5146.91735193489[/C][C]-44.5186927674013[/C][/ROW]
[ROW][C]60[/C][C]5275[/C][C]5880.46300614921[/C][C]-475.169995806006[/C][C]5144.7069896568[/C][C]605.463006149208[/C][/ROW]
[ROW][C]61[/C][C]4605[/C][C]4242.29754601571[/C][C]-174.794173394423[/C][C]5142.49662737871[/C][C]-362.702453984288[/C][/ROW]
[ROW][C]62[/C][C]4825[/C][C]4786.6941549852[/C][C]-280.38468202155[/C][C]5143.69052703635[/C][C]-38.3058450148019[/C][/ROW]
[ROW][C]63[/C][C]5595[/C][C]5653.59086076826[/C][C]391.524712537748[/C][C]5144.88442669399[/C][C]58.5908607682622[/C][/ROW]
[ROW][C]64[/C][C]5160[/C][C]5029.68101356062[/C][C]144.015454974229[/C][C]5146.30353146515[/C][C]-130.318986439382[/C][/ROW]
[ROW][C]65[/C][C]5320[/C][C]5146.27128632675[/C][C]346.006077436934[/C][C]5147.72263623631[/C][C]-173.728713673248[/C][/ROW]
[ROW][C]66[/C][C]5540[/C][C]5688.85910955281[/C][C]244.259583014975[/C][C]5146.88130743221[/C][C]148.859109552812[/C][/ROW]
[ROW][C]67[/C][C]4970[/C][C]4811.44730000323[/C][C]-17.4872786313454[/C][C]5146.03997862811[/C][C]-158.552699996765[/C][/ROW]
[ROW][C]68[/C][C]5445[/C][C]5582.46634460844[/C][C]152.796025761329[/C][C]5154.73762963023[/C][C]137.46634460844[/C][/ROW]
[ROW][C]69[/C][C]5305[/C][C]5510.41729531649[/C][C]-63.8525759488392[/C][C]5163.43528063235[/C][C]205.417295316486[/C][/ROW]
[ROW][C]70[/C][C]5145[/C][C]5002.48321445895[/C][C]115.48548539578[/C][C]5172.03130014527[/C][C]-142.516785541053[/C][/ROW]
[ROW][C]71[/C][C]4895[/C][C]4991.77133950929[/C][C]-382.398659167484[/C][C]5180.62731965819[/C][C]96.7713395092915[/C][/ROW]
[ROW][C]72[/C][C]4555[/C][C]4402.04016431963[/C][C]-475.169995806006[/C][C]5183.12983148638[/C][C]-152.95983568037[/C][/ROW]
[ROW][C]73[/C][C]4980[/C][C]4949.16183007986[/C][C]-174.794173394423[/C][C]5185.63234331456[/C][C]-30.8381699201354[/C][/ROW]
[ROW][C]74[/C][C]4930[/C][C]4956.437799963[/C][C]-280.38468202155[/C][C]5183.94688205855[/C][C]26.4377999629978[/C][/ROW]
[ROW][C]75[/C][C]5810[/C][C]6046.21386665971[/C][C]391.524712537748[/C][C]5182.26142080255[/C][C]236.213866659707[/C][/ROW]
[ROW][C]76[/C][C]5210[/C][C]5101.63933170545[/C][C]144.015454974229[/C][C]5174.34521332032[/C][C]-108.360668294548[/C][/ROW]
[ROW][C]77[/C][C]5450[/C][C]5387.56491672497[/C][C]346.006077436934[/C][C]5166.42900583809[/C][C]-62.435083275027[/C][/ROW]
[ROW][C]78[/C][C]5510[/C][C]5627.43473277049[/C][C]244.259583014975[/C][C]5148.30568421453[/C][C]117.434732770494[/C][/ROW]
[ROW][C]79[/C][C]5010[/C][C]4907.30491604038[/C][C]-17.4872786313454[/C][C]5130.18236259097[/C][C]-102.695083959624[/C][/ROW]
[ROW][C]80[/C][C]5495[/C][C]5732.47680399894[/C][C]152.796025761329[/C][C]5104.72717023973[/C][C]237.476803998945[/C][/ROW]
[ROW][C]81[/C][C]5125[/C][C]5234.58059806036[/C][C]-63.8525759488392[/C][C]5079.27197788848[/C][C]109.580598060355[/C][/ROW]
[ROW][C]82[/C][C]5190[/C][C]5207.29438106049[/C][C]115.48548539578[/C][C]5057.22013354372[/C][C]17.2943810604947[/C][/ROW]
[ROW][C]83[/C][C]4565[/C][C]4477.23036996852[/C][C]-382.398659167484[/C][C]5035.16828919897[/C][C]-87.7696300314819[/C][/ROW]
[ROW][C]84[/C][C]4255[/C][C]3964.43948887216[/C][C]-475.169995806006[/C][C]5020.73050693385[/C][C]-290.560511127839[/C][/ROW]
[ROW][C]85[/C][C]4875[/C][C]4918.5014487257[/C][C]-174.794173394423[/C][C]5006.29272466873[/C][C]43.5014487256976[/C][/ROW]
[ROW][C]86[/C][C]4650[/C][C]4580.73179435796[/C][C]-280.38468202155[/C][C]4999.65288766359[/C][C]-69.2682056420363[/C][/ROW]
[ROW][C]87[/C][C]5295[/C][C]5205.46223680381[/C][C]391.524712537748[/C][C]4993.01305065845[/C][C]-89.5377631961928[/C][/ROW]
[ROW][C]88[/C][C]5045[/C][C]4953.37966099284[/C][C]144.015454974229[/C][C]4992.60488403293[/C][C]-91.6203390071641[/C][/ROW]
[ROW][C]89[/C][C]5430[/C][C]5521.79720515564[/C][C]346.006077436934[/C][C]4992.19671740743[/C][C]91.7972051556408[/C][/ROW]
[ROW][C]90[/C][C]5325[/C][C]5419.28636543101[/C][C]244.259583014975[/C][C]4986.45405155401[/C][C]94.286365431014[/C][/ROW]
[ROW][C]91[/C][C]4920[/C][C]4876.77589293075[/C][C]-17.4872786313454[/C][C]4980.7113857006[/C][C]-43.2241070692507[/C][/ROW]
[ROW][C]92[/C][C]5445[/C][C]5779.91543368243[/C][C]152.796025761329[/C][C]4957.28854055624[/C][C]334.91543368243[/C][/ROW]
[ROW][C]93[/C][C]4895[/C][C]4919.98688053695[/C][C]-63.8525759488392[/C][C]4933.86569541189[/C][C]24.9868805369533[/C][/ROW]
[ROW][C]94[/C][C]5175[/C][C]5330.51616584266[/C][C]115.48548539578[/C][C]4903.99834876156[/C][C]155.51616584266[/C][/ROW]
[ROW][C]95[/C][C]4545[/C][C]4598.26765705625[/C][C]-382.398659167484[/C][C]4874.13100211123[/C][C]53.2676570562498[/C][/ROW]
[ROW][C]96[/C][C]4220[/C][C]4063.209672333[/C][C]-475.169995806006[/C][C]4851.96032347301[/C][C]-156.790327666999[/C][/ROW]
[ROW][C]97[/C][C]4595[/C][C]4535.00452855965[/C][C]-174.794173394423[/C][C]4829.78964483478[/C][C]-59.9954714403539[/C][/ROW]
[ROW][C]98[/C][C]4360[/C][C]4176.83048007154[/C][C]-280.38468202155[/C][C]4823.55420195001[/C][C]-183.169519928459[/C][/ROW]
[ROW][C]99[/C][C]4750[/C][C]4291.15652839701[/C][C]391.524712537748[/C][C]4817.31875906524[/C][C]-458.843471602985[/C][/ROW]
[ROW][C]100[/C][C]4985[/C][C]4997.77524396348[/C][C]144.015454974229[/C][C]4828.20930106229[/C][C]12.7752439634814[/C][/ROW]
[ROW][C]101[/C][C]5140[/C][C]5094.89407950373[/C][C]346.006077436934[/C][C]4839.09984305934[/C][C]-45.1059204962748[/C][/ROW]
[ROW][C]102[/C][C]4995[/C][C]4875.41302385715[/C][C]244.259583014975[/C][C]4870.32739312787[/C][C]-119.586976142849[/C][/ROW]
[ROW][C]103[/C][C]5150[/C][C]5415.93233543494[/C][C]-17.4872786313454[/C][C]4901.55494319641[/C][C]265.932335434939[/C][/ROW]
[ROW][C]104[/C][C]5240[/C][C]5379.79252174793[/C][C]152.796025761329[/C][C]4947.41145249074[/C][C]139.79252174793[/C][/ROW]
[ROW][C]105[/C][C]4875[/C][C]4820.58461416376[/C][C]-63.8525759488392[/C][C]4993.26796178508[/C][C]-54.4153858362379[/C][/ROW]
[ROW][C]106[/C][C]5170[/C][C]5195.83145282476[/C][C]115.48548539578[/C][C]5028.68306177946[/C][C]25.8314528247574[/C][/ROW]
[ROW][C]107[/C][C]4715[/C][C]4748.30049739364[/C][C]-382.398659167484[/C][C]5064.09816177385[/C][C]33.3004973936377[/C][/ROW]
[ROW][C]108[/C][C]4370[/C][C]4124.29829609927[/C][C]-475.169995806006[/C][C]5090.87169970674[/C][C]-245.701703900731[/C][/ROW]
[ROW][C]109[/C][C]5160[/C][C]5377.14893575479[/C][C]-174.794173394423[/C][C]5117.64523763963[/C][C]217.148935754794[/C][/ROW]
[ROW][C]110[/C][C]4930[/C][C]4995.69760619645[/C][C]-280.38468202155[/C][C]5144.6870758251[/C][C]65.6976061964488[/C][/ROW]
[ROW][C]111[/C][C]5600[/C][C]5636.74637345168[/C][C]391.524712537748[/C][C]5171.72891401057[/C][C]36.7463734516796[/C][/ROW]
[ROW][C]112[/C][C]5385[/C][C]5427.77339035514[/C][C]144.015454974229[/C][C]5198.21115467063[/C][C]42.773390355138[/C][/ROW]
[ROW][C]113[/C][C]5425[/C][C]5279.30052723237[/C][C]346.006077436934[/C][C]5224.69339533069[/C][C]-145.699472767627[/C][/ROW]
[ROW][C]114[/C][C]5375[/C][C]5255.58031105185[/C][C]244.259583014975[/C][C]5250.16010593318[/C][C]-119.419688948154[/C][/ROW]
[ROW][C]115[/C][C]5365[/C][C]5471.86046209568[/C][C]-17.4872786313454[/C][C]5275.62681653566[/C][C]106.860462095682[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=298161&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298161&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
138753859.03348995558-174.7941733944234065.76068343885-15.9665100444236
237553665.7436497912-280.384682021554124.64103223035-89.2563502088028
346704764.95390644039391.5247125377484183.5213810218694.9539064403943
443354282.73369103688144.0154549742294243.25085398889-52.2663089631151
549455241.01359560715346.0060774369344302.98032695591296.013595607154
646004591.92997956651244.2595830149754363.81043741851-8.07002043348712
743954382.84673075023-17.48727863134544424.64054788111-12.1532692497658
843454053.04995542946152.7960257613294484.15401880921-291.950044570543
943904300.18508621152-63.85257594883924543.66748973732-89.8149137884775
1044904276.46439992803115.485485395784588.05011467619-213.535600071968
1143954539.96591955243-382.3986591674844632.43273961506144.965919552426
1246905201.20066956534-475.1699958060064653.96932624067511.200669565341
1345904679.28826052815-174.7941733944234675.5059128662789.2882605281493
1446304859.2545561047-280.384682021554681.13012591685229.254556104698
1553755671.72094849482391.5247125377484686.75433896743296.720948494824
1646554493.24144806829144.0154549742294672.74309695748-161.758551931713
1749754945.26206761553346.0060774369344658.73185494754-29.7379323844734
1848104746.83187065437244.2595830149754628.90854633066-63.1681293456322
1944454308.40204091757-17.48727863134544599.08523771377-136.597959082428
2046604592.22638895942152.7960257613294574.97758527925-67.7736110405804
2142153942.98264310411-63.85257594883924550.86993284473-272.017356895892
2248254990.99224545989115.485485395784543.52226914433165.992245459891
2342504346.22405372356-382.3986591674844536.1746054439396.2240537235575
2439453822.05654281587-475.1699958060064543.11345299014-122.943457184129
2543904404.74187285808-174.7941733944234550.0523005363414.7418728580797
2643154345.96003370471-280.384682021554564.4246483168430.9600337047123
2748354699.67829136492391.5247125377484578.79699609733-135.321708635077
2848354932.83750240616144.0154549742294593.1470426196197.8375024061579
2949704986.49683342117346.0060774369344607.497089141916.4968334211699
3046904512.28357378049244.2595830149754623.45684320454-177.716426219512
3147004778.07068136417-17.48727863134544639.4165972671878.0706813641691
3248554894.45603936115152.7960257613294662.7479348775239.4560393611519
3346104597.77330346098-63.85257594883924686.07927248786-12.2266965390245
3449004969.54438378155115.485485395784714.9701308226769.5443837815537
3542504138.53767001002-382.3986591674844743.86098915747-111.462329989984
3641053927.66056293303-475.1699958060064757.50943287297-177.339437066968
3747404883.63629680594-174.7941733944234771.15787658848143.636296805944
3845654643.11411126855-280.384682021554767.27057075378.1141112685455
3951555155.09202254472391.5247125377484763.383264917530.0920225447243865
4053205739.63861667335144.0154549742294756.34592835242419.638616673355
4154305764.68533077576346.0060774369344749.3085917873334.685330775762
4246904390.56380861055244.2595830149754745.17660837448-299.436191389453
4345404356.4426536697-17.48727863134544741.04462496165-183.557346330304
4445754260.0099805518152.7960257613294737.19399368687-314.990019448203
4546604650.50921353674-63.85257594883924733.3433624121-9.49078646326143
4648504842.48483905112115.485485395784742.0296755531-7.5151609488812
4742004031.68267047338-382.3986591674844750.7159886941-168.317329526617
4843604406.32780349251-475.1699958060064788.842192313546.3278034925097
4946554657.82577746153-174.7941733944234826.968395932892.82577746153129
5045854573.7279613665-280.384682021554876.65672065505-11.2720386335004
5153155312.13024208505391.5247125377484926.34504537721-2.86975791495388
5251155116.1670529429144.0154549742294969.817492082871.16705294289932
5351004840.70398377453346.0060774369345013.28993878854-259.296016225469
5457356175.54726328637244.2595830149755050.19315369866440.547263286367
5552605450.39091002256-17.48727863134545087.09636860878190.390910022565
5650504837.05457478721152.7960257613295110.14939945146-212.945425212787
5751655260.6501456547-63.85257594883925133.2024302941495.650145654703
5851905124.45462348971115.485485395785140.05989111451-65.5453765102911
5947204675.4813072326-382.3986591674845146.91735193489-44.5186927674013
6052755880.46300614921-475.1699958060065144.7069896568605.463006149208
6146054242.29754601571-174.7941733944235142.49662737871-362.702453984288
6248254786.6941549852-280.384682021555143.69052703635-38.3058450148019
6355955653.59086076826391.5247125377485144.8844266939958.5908607682622
6451605029.68101356062144.0154549742295146.30353146515-130.318986439382
6553205146.27128632675346.0060774369345147.72263623631-173.728713673248
6655405688.85910955281244.2595830149755146.88130743221148.859109552812
6749704811.44730000323-17.48727863134545146.03997862811-158.552699996765
6854455582.46634460844152.7960257613295154.73762963023137.46634460844
6953055510.41729531649-63.85257594883925163.43528063235205.417295316486
7051455002.48321445895115.485485395785172.03130014527-142.516785541053
7148954991.77133950929-382.3986591674845180.6273196581996.7713395092915
7245554402.04016431963-475.1699958060065183.12983148638-152.95983568037
7349804949.16183007986-174.7941733944235185.63234331456-30.8381699201354
7449304956.437799963-280.384682021555183.9468820585526.4377999629978
7558106046.21386665971391.5247125377485182.26142080255236.213866659707
7652105101.63933170545144.0154549742295174.34521332032-108.360668294548
7754505387.56491672497346.0060774369345166.42900583809-62.435083275027
7855105627.43473277049244.2595830149755148.30568421453117.434732770494
7950104907.30491604038-17.48727863134545130.18236259097-102.695083959624
8054955732.47680399894152.7960257613295104.72717023973237.476803998945
8151255234.58059806036-63.85257594883925079.27197788848109.580598060355
8251905207.29438106049115.485485395785057.2201335437217.2943810604947
8345654477.23036996852-382.3986591674845035.16828919897-87.7696300314819
8442553964.43948887216-475.1699958060065020.73050693385-290.560511127839
8548754918.5014487257-174.7941733944235006.2927246687343.5014487256976
8646504580.73179435796-280.384682021554999.65288766359-69.2682056420363
8752955205.46223680381391.5247125377484993.01305065845-89.5377631961928
8850454953.37966099284144.0154549742294992.60488403293-91.6203390071641
8954305521.79720515564346.0060774369344992.1967174074391.7972051556408
9053255419.28636543101244.2595830149754986.4540515540194.286365431014
9149204876.77589293075-17.48727863134544980.7113857006-43.2241070692507
9254455779.91543368243152.7960257613294957.28854055624334.91543368243
9348954919.98688053695-63.85257594883924933.8656954118924.9868805369533
9451755330.51616584266115.485485395784903.99834876156155.51616584266
9545454598.26765705625-382.3986591674844874.1310021112353.2676570562498
9642204063.209672333-475.1699958060064851.96032347301-156.790327666999
9745954535.00452855965-174.7941733944234829.78964483478-59.9954714403539
9843604176.83048007154-280.384682021554823.55420195001-183.169519928459
9947504291.15652839701391.5247125377484817.31875906524-458.843471602985
10049854997.77524396348144.0154549742294828.2093010622912.7752439634814
10151405094.89407950373346.0060774369344839.09984305934-45.1059204962748
10249954875.41302385715244.2595830149754870.32739312787-119.586976142849
10351505415.93233543494-17.48727863134544901.55494319641265.932335434939
10452405379.79252174793152.7960257613294947.41145249074139.79252174793
10548754820.58461416376-63.85257594883924993.26796178508-54.4153858362379
10651705195.83145282476115.485485395785028.6830617794625.8314528247574
10747154748.30049739364-382.3986591674845064.0981617738533.3004973936377
10843704124.29829609927-475.1699958060065090.87169970674-245.701703900731
10951605377.14893575479-174.7941733944235117.64523763963217.148935754794
11049304995.69760619645-280.384682021555144.687075825165.6976061964488
11156005636.74637345168391.5247125377485171.7289140105736.7463734516796
11253855427.77339035514144.0154549742295198.2111546706342.773390355138
11354255279.30052723237346.0060774369345224.69339533069-145.699472767627
11453755255.58031105185244.2595830149755250.16010593318-119.419688948154
11553655471.86046209568-17.48727863134545275.62681653566106.860462095682



Parameters (Session):
par1 = additive ; par2 = 12 ;
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')