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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 14:13:51 +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/t1481116471051wcbdfv9lqcod.htm/, Retrieved Fri, 01 Nov 2024 03:41:28 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=298088, Retrieved Fri, 01 Nov 2024 03:41:28 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact91
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Decomposition by Loess] [Decomposition by ...] [2016-12-07 13:13:51] [f916b4255bf1e1993d1067800ff1f972] [Current]
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Dataseries X:
5033
4509.5
3970
3378
2866
2315.5
1895
8401.5
8040
7534
7135.5
6466.5
5661.5
4896
4064.5
3296
2593.5
2007
1513.5
6645
6221.5
5474
5135.5
4630.5
4164
3600.5
2969
2503.5
2054.5
1608.5
1297.5
8485
8163.5
7814
7453.5
6888.5
6283.5
5712
5030
4488
4058.5
3585
3199.5
8181
8219.5
7865.5
7516.5
7116
6615.5
6216.5
5699.5
5179
4727.5
4224.5
3780.5
7023.5
6558
6257.5
5862.5
5343
4756
4173.5
3451.5
2849
2351
1887.5
1416.5
7399
7013
6644.5
6238.5
5721
5137.5
4357
3750.5
3324
2861
2455.5
2027.5
8388.5
7910
7686
7163
6841.5
6448.5
6060.5
5739
5362.5
5081
4764
4522.5
9056.5
8352
7683
7319.5
6708
6204.5
5576.5
4776.5
4279.5
3918
3288.5
2393.5
8131.5
8121
7790.5
7411.5
6861
6197
5622.5
4855.5
4303.5
3853.5
3283.5
2861.5
9486.5
9061
8877.5
8557.5
8031
7404.5
6852.5
6174.5
5341.5
4975.5
4290




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time3 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 time3 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298088&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]3 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=298088&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298088&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 time3 seconds
R ServerBig Analytics Cloud Computing Center







Seasonal Decomposition by Loess - Parameters
ComponentWindowDegreeJump
Seasonal12610127
Trend1912
Low-pass1312

\begin{tabular}{lllllllll}
\hline
Seasonal Decomposition by Loess - Parameters \tabularnewline
Component & Window & Degree & Jump \tabularnewline
Seasonal & 1261 & 0 & 127 \tabularnewline
Trend & 19 & 1 & 2 \tabularnewline
Low-pass & 13 & 1 & 2 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298088&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]1261[/C][C]0[/C][C]127[/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=298088&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298088&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
Seasonal12610127
Trend1912
Low-pass1312







Seasonal Decomposition by Loess - Time Series Components
tObservedFittedSeasonalTrendRemainder
150335003.30032300413389.4752854666144673.22439152926-29.6996769958723
24509.54477.03525646774-207.8104629820154749.77520651427-32.4647435322577
339703988.58833522586-874.914356725154826.3260214992918.5883352258634
433783317.46231514801-1458.56876461584897.10644946779-60.5376848519891
528662696.20003494137-1932.086912377674967.88687743629-169.799965058626
62315.52066.3608233715-2465.359251054635029.99842768312-249.139176628496
718951598.91017174788-2901.020149677835092.10997792995-296.089828252125
88401.58948.76248477422707.790783385635146.44673184017547.262484774195
980408545.514234736452333.702279513175200.78348575039505.514234736444
1075347930.867363247461913.914906234785223.21773051776396.86736324746
117135.57511.220544600431514.127480114445245.65197528513375.720544600427
126466.56757.09329923263980.7491739277665195.1575268396290.593299232632
135661.55788.86163613931389.4752854666145144.66307839407127.361636139312
1448964973.24729241353-207.8104629820155026.5631705684877.24729241353
154064.54095.45109398225-874.914356725154908.463262742930.9510939822521
1632963302.39321645977-1458.56876461584748.175548156036.39321645977179
172593.52531.19907880851-1932.086912377674587.88783356916-62.3009211914923
1820072043.64537143693-2465.359251054634435.713879617736.6453714369291
191513.51644.48022401159-2901.020149677834283.53992566624130.98022401159
2066456414.357966084552707.790783385634167.85125052982-230.642033915455
216221.56057.135145093432333.702279513174052.1625753934-164.36485490657
2254745053.359294242191913.914906234783980.72579952303-420.64070575781
235135.54847.58349623291514.127480114443909.28902365266-287.9165037671
244630.54382.66629520469980.7491739277663897.58453086755-247.833704795311
2541644052.64467645096389.4752854666143885.88003808243-111.355323549044
263600.53432.52495267676-207.8104629820153976.28551030526-167.975047323243
2729692746.22337419706-874.914356725154066.69098252808-222.776625802935
282503.52221.59714406699-1458.56876461584243.97162054881-281.902855933006
292054.51619.83465380814-1932.086912377674421.25225856953-434.665346191861
301608.51056.63203626858-2465.359251054634625.72721478604-551.867963731416
311297.5665.817978675271-2901.020149677834830.20217100256-631.682021324729
3284859235.283634925132707.790783385635026.92558168924750.283634925127
338163.58769.648728110912333.702279513175223.64899237592606.14872811091
3478148313.950874460021913.914906234785400.1342193052499.950874460022
357453.57816.253073651081514.127480114445576.61944623448362.753073651083
366888.57094.96537466189980.7491739277665701.28545141035206.465374661889
376283.56351.57325794717389.4752854666145825.9514565862268.0732579471696
3857125761.57080254784-207.8104629820155870.2396604341849.5708025478352
3950305020.38649244301-874.914356725155914.52786428214-9.61350755699368
4044884516.1886854563-1458.56876461585918.380079159528.1886854563036
414058.54126.85461834082-1932.086912377675922.2322940368568.3546183408171
4235853699.15314010713-2465.359251054635936.2061109475114.153140107128
433199.53349.84022181968-2901.020149677835950.17992785815150.340221819678
4481817668.654288207422707.790783385635985.55492840695-512.345711792582
458219.58084.367791531092333.702279513176020.92992895575-135.132208468913
467865.57742.018714657711913.914906234786075.06637910751-123.481285342292
477516.57389.669690626281514.127480114446129.20282925928-126.83030937372
4871167073.49374057434980.7491739277666177.7570854979-42.5062594256633
496615.56615.21337279687389.4752854666146226.31134173652-0.286627203130593
506216.56444.33449347113-207.8104629820156196.47596951088227.834493471134
515699.56107.2737594399-874.914356725156166.64059728525407.773759439904
5251795773.62952890555-1458.56876461586042.93923571026594.629528905545
534727.55467.8490382424-1932.086912377675919.23787413526740.349038242402
544224.55173.70560673845-2465.359251054635740.65364431618949.205606738446
553780.54899.95073518073-2901.020149677835562.06941449711119.45073518073
567023.55980.433246528192707.790783385635358.77597008618-1043.06675347181
5765585626.815194811582333.702279513175155.48252567526-931.184805188423
586257.55649.885891491171913.914906234784951.19920227406-607.614108508835
595862.55463.95664101271514.127480114444746.91587887286-398.543358987296
6053435104.1481426005980.7491739277664601.10268347174-238.851857399504
6147564667.23522646276389.4752854666144455.28948807062-88.7647735372366
624173.54138.32317994744-207.8104629820154416.48728303457-35.1768200525576
633451.53400.22927872663-874.914356725154377.68507799852-51.2707212733721
6428492751.81972614948-1458.56876461584404.74903846632-97.1802738505221
6523512202.27391344354-1932.086912377674431.81299893412-148.726086556457
661887.51774.68440090981-2465.359251054634465.67485014481-112.815599090185
671416.51234.48344832233-2901.020149677834499.5367013555-182.016551677673
6873997557.516060450452707.790783385634532.69315616391158.516060450453
6970137126.448109514512333.702279513174565.84961097232113.448109514508
706644.56773.211287874411913.914906234784601.87380589081128.71128787441
716238.56324.974519076261514.127480114444637.898000809386.4745190762615
7257215781.06693791453980.7491739277664680.183888157760.0669379145311
735137.55163.05493902728389.4752854666144722.4697755061125.5549390272772
7443574139.48608390195-207.8104629820154782.32437908007-217.513916098052
753750.53533.73537407113-874.914356725154842.17898265402-216.764625928875
7633243182.58277790532-1458.56876461584923.98598671048-141.417222094684
7728612648.29392161072-1932.086912377675005.79299076694-212.706078389278
782455.52263.19912752311-2465.359251054635113.16012353152-192.300872476891
792027.51735.49289338174-2901.020149677835220.52725629609-292.007106618264
808388.58708.90665946152707.790783385635360.30255715287320.406659461501
8179107986.219862477192333.702279513175500.0778580096476.2198624771936
8276867788.397817563471913.914906234785669.68727620175102.397817563473
8371636972.57582549171514.127480114445839.29669439386-190.424174508296
846841.56690.45816313096980.7491739277666011.79266294128-151.041836869043
856448.56323.23608304469389.4752854666146184.2886314887-125.263916955314
866060.56028.51006360437-207.8104629820156300.30039937765-31.9899363956347
8757395936.60218945855-874.914356725156416.3121672666197.602189458549
885362.55728.42085551534-1458.56876461586455.14790910046365.920855515342
8950815600.10326144335-1932.086912377676493.98365093432519.103261443349
9047645519.7388323585-2465.359251054636473.62041869613755.738832358496
914522.55492.76296321989-2901.020149677836453.25718645794970.262963219885
929056.59022.907562058472707.790783385636382.3016545559-33.5924379415328
9383528058.951597832982333.702279513176311.34612265385-293.048402167022
9476837247.86490833041913.914906234786204.22018543482-435.135091669596
957319.57027.778271669781514.127480114446097.09424821578-291.721728330218
9667086449.60988167817980.7491739277665985.64094439406-258.39011832183
976204.56145.33707396104389.4752854666145874.18764057235-59.1629260389645
985576.55555.9024928512-207.8104629820155804.90797013081-20.5975071487974
994776.54692.28605703588-874.914356725155735.62829968927-84.2139429641247
1004279.54297.15343708477-1458.56876461585720.4153275310317.653437084773
10139184062.88455700489-1932.086912377675705.20235537278144.884557004885
1023288.53331.9677868254-2465.359251054635710.3914642292243.4677868254039
1032393.51972.43957659216-2901.020149677835715.58057308567-421.060423407838
1048131.57832.645663556562707.790783385635722.5635530578-298.854336443435
10581218178.75118745692333.702279513175729.5465330299457.7511874568954
1067790.57928.907735018371913.914906234785738.17735874686138.407735018365
1077411.57562.064335421791514.127480114445746.80818446377150.564335421786
10868616973.11071845748980.7491739277665768.14010761476112.110718457478
10961976215.05268376765389.4752854666145789.4720307657418.0526837676462
1105622.55608.00764873295-207.8104629820155844.80281424907-14.492351267053
1114855.54685.78075899275-874.914356725155900.1335977324-169.719241007248
1124303.54080.7304400169-1458.56876461585984.8383245989-222.769559983097
1133853.53569.54386091227-1932.086912377676069.5430514654-283.95613908773
1143283.52854.93042078316-2465.359251054636177.42883027147-428.569579216843
1152861.52338.70554060028-2901.020149677836285.31460907755-522.794459399716
1169486.59862.571511305122707.790783385636402.63770530925376.071511305117
11790619268.336918945882333.702279513176519.96080154095207.336918945881
1188877.59241.416921535511913.914906234786599.66817222971363.916921535512
1198557.58921.496976967091514.127480114446679.37554291847363.996976967094
12080318328.92458822012980.7491739277666752.32623785211297.924588220124
1217404.57594.24778174763389.4752854666146825.27693278575189.74778174763
1226852.57019.60129525825-207.8104629820156893.20916772376167.101295258251
1236174.56262.77295406338-874.914356725156961.1414026617788.2729540633763
1245341.55121.00142706381-1458.56876461587020.56733755199-220.498572936191
1254975.54803.09363993546-1932.086912377677079.99327244221-172.406360064542
12642903913.35056206735-2465.359251054637132.00868898728-376.649437932652

\begin{tabular}{lllllllll}
\hline
Seasonal Decomposition by Loess - Time Series Components \tabularnewline
t & Observed & Fitted & Seasonal & Trend & Remainder \tabularnewline
1 & 5033 & 5003.30032300413 & 389.475285466614 & 4673.22439152926 & -29.6996769958723 \tabularnewline
2 & 4509.5 & 4477.03525646774 & -207.810462982015 & 4749.77520651427 & -32.4647435322577 \tabularnewline
3 & 3970 & 3988.58833522586 & -874.91435672515 & 4826.32602149929 & 18.5883352258634 \tabularnewline
4 & 3378 & 3317.46231514801 & -1458.5687646158 & 4897.10644946779 & -60.5376848519891 \tabularnewline
5 & 2866 & 2696.20003494137 & -1932.08691237767 & 4967.88687743629 & -169.799965058626 \tabularnewline
6 & 2315.5 & 2066.3608233715 & -2465.35925105463 & 5029.99842768312 & -249.139176628496 \tabularnewline
7 & 1895 & 1598.91017174788 & -2901.02014967783 & 5092.10997792995 & -296.089828252125 \tabularnewline
8 & 8401.5 & 8948.7624847742 & 2707.79078338563 & 5146.44673184017 & 547.262484774195 \tabularnewline
9 & 8040 & 8545.51423473645 & 2333.70227951317 & 5200.78348575039 & 505.514234736444 \tabularnewline
10 & 7534 & 7930.86736324746 & 1913.91490623478 & 5223.21773051776 & 396.86736324746 \tabularnewline
11 & 7135.5 & 7511.22054460043 & 1514.12748011444 & 5245.65197528513 & 375.720544600427 \tabularnewline
12 & 6466.5 & 6757.09329923263 & 980.749173927766 & 5195.1575268396 & 290.593299232632 \tabularnewline
13 & 5661.5 & 5788.86163613931 & 389.475285466614 & 5144.66307839407 & 127.361636139312 \tabularnewline
14 & 4896 & 4973.24729241353 & -207.810462982015 & 5026.56317056848 & 77.24729241353 \tabularnewline
15 & 4064.5 & 4095.45109398225 & -874.91435672515 & 4908.4632627429 & 30.9510939822521 \tabularnewline
16 & 3296 & 3302.39321645977 & -1458.5687646158 & 4748.17554815603 & 6.39321645977179 \tabularnewline
17 & 2593.5 & 2531.19907880851 & -1932.08691237767 & 4587.88783356916 & -62.3009211914923 \tabularnewline
18 & 2007 & 2043.64537143693 & -2465.35925105463 & 4435.7138796177 & 36.6453714369291 \tabularnewline
19 & 1513.5 & 1644.48022401159 & -2901.02014967783 & 4283.53992566624 & 130.98022401159 \tabularnewline
20 & 6645 & 6414.35796608455 & 2707.79078338563 & 4167.85125052982 & -230.642033915455 \tabularnewline
21 & 6221.5 & 6057.13514509343 & 2333.70227951317 & 4052.1625753934 & -164.36485490657 \tabularnewline
22 & 5474 & 5053.35929424219 & 1913.91490623478 & 3980.72579952303 & -420.64070575781 \tabularnewline
23 & 5135.5 & 4847.5834962329 & 1514.12748011444 & 3909.28902365266 & -287.9165037671 \tabularnewline
24 & 4630.5 & 4382.66629520469 & 980.749173927766 & 3897.58453086755 & -247.833704795311 \tabularnewline
25 & 4164 & 4052.64467645096 & 389.475285466614 & 3885.88003808243 & -111.355323549044 \tabularnewline
26 & 3600.5 & 3432.52495267676 & -207.810462982015 & 3976.28551030526 & -167.975047323243 \tabularnewline
27 & 2969 & 2746.22337419706 & -874.91435672515 & 4066.69098252808 & -222.776625802935 \tabularnewline
28 & 2503.5 & 2221.59714406699 & -1458.5687646158 & 4243.97162054881 & -281.902855933006 \tabularnewline
29 & 2054.5 & 1619.83465380814 & -1932.08691237767 & 4421.25225856953 & -434.665346191861 \tabularnewline
30 & 1608.5 & 1056.63203626858 & -2465.35925105463 & 4625.72721478604 & -551.867963731416 \tabularnewline
31 & 1297.5 & 665.817978675271 & -2901.02014967783 & 4830.20217100256 & -631.682021324729 \tabularnewline
32 & 8485 & 9235.28363492513 & 2707.79078338563 & 5026.92558168924 & 750.283634925127 \tabularnewline
33 & 8163.5 & 8769.64872811091 & 2333.70227951317 & 5223.64899237592 & 606.14872811091 \tabularnewline
34 & 7814 & 8313.95087446002 & 1913.91490623478 & 5400.1342193052 & 499.950874460022 \tabularnewline
35 & 7453.5 & 7816.25307365108 & 1514.12748011444 & 5576.61944623448 & 362.753073651083 \tabularnewline
36 & 6888.5 & 7094.96537466189 & 980.749173927766 & 5701.28545141035 & 206.465374661889 \tabularnewline
37 & 6283.5 & 6351.57325794717 & 389.475285466614 & 5825.95145658622 & 68.0732579471696 \tabularnewline
38 & 5712 & 5761.57080254784 & -207.810462982015 & 5870.23966043418 & 49.5708025478352 \tabularnewline
39 & 5030 & 5020.38649244301 & -874.91435672515 & 5914.52786428214 & -9.61350755699368 \tabularnewline
40 & 4488 & 4516.1886854563 & -1458.5687646158 & 5918.3800791595 & 28.1886854563036 \tabularnewline
41 & 4058.5 & 4126.85461834082 & -1932.08691237767 & 5922.23229403685 & 68.3546183408171 \tabularnewline
42 & 3585 & 3699.15314010713 & -2465.35925105463 & 5936.2061109475 & 114.153140107128 \tabularnewline
43 & 3199.5 & 3349.84022181968 & -2901.02014967783 & 5950.17992785815 & 150.340221819678 \tabularnewline
44 & 8181 & 7668.65428820742 & 2707.79078338563 & 5985.55492840695 & -512.345711792582 \tabularnewline
45 & 8219.5 & 8084.36779153109 & 2333.70227951317 & 6020.92992895575 & -135.132208468913 \tabularnewline
46 & 7865.5 & 7742.01871465771 & 1913.91490623478 & 6075.06637910751 & -123.481285342292 \tabularnewline
47 & 7516.5 & 7389.66969062628 & 1514.12748011444 & 6129.20282925928 & -126.83030937372 \tabularnewline
48 & 7116 & 7073.49374057434 & 980.749173927766 & 6177.7570854979 & -42.5062594256633 \tabularnewline
49 & 6615.5 & 6615.21337279687 & 389.475285466614 & 6226.31134173652 & -0.286627203130593 \tabularnewline
50 & 6216.5 & 6444.33449347113 & -207.810462982015 & 6196.47596951088 & 227.834493471134 \tabularnewline
51 & 5699.5 & 6107.2737594399 & -874.91435672515 & 6166.64059728525 & 407.773759439904 \tabularnewline
52 & 5179 & 5773.62952890555 & -1458.5687646158 & 6042.93923571026 & 594.629528905545 \tabularnewline
53 & 4727.5 & 5467.8490382424 & -1932.08691237767 & 5919.23787413526 & 740.349038242402 \tabularnewline
54 & 4224.5 & 5173.70560673845 & -2465.35925105463 & 5740.65364431618 & 949.205606738446 \tabularnewline
55 & 3780.5 & 4899.95073518073 & -2901.02014967783 & 5562.0694144971 & 1119.45073518073 \tabularnewline
56 & 7023.5 & 5980.43324652819 & 2707.79078338563 & 5358.77597008618 & -1043.06675347181 \tabularnewline
57 & 6558 & 5626.81519481158 & 2333.70227951317 & 5155.48252567526 & -931.184805188423 \tabularnewline
58 & 6257.5 & 5649.88589149117 & 1913.91490623478 & 4951.19920227406 & -607.614108508835 \tabularnewline
59 & 5862.5 & 5463.9566410127 & 1514.12748011444 & 4746.91587887286 & -398.543358987296 \tabularnewline
60 & 5343 & 5104.1481426005 & 980.749173927766 & 4601.10268347174 & -238.851857399504 \tabularnewline
61 & 4756 & 4667.23522646276 & 389.475285466614 & 4455.28948807062 & -88.7647735372366 \tabularnewline
62 & 4173.5 & 4138.32317994744 & -207.810462982015 & 4416.48728303457 & -35.1768200525576 \tabularnewline
63 & 3451.5 & 3400.22927872663 & -874.91435672515 & 4377.68507799852 & -51.2707212733721 \tabularnewline
64 & 2849 & 2751.81972614948 & -1458.5687646158 & 4404.74903846632 & -97.1802738505221 \tabularnewline
65 & 2351 & 2202.27391344354 & -1932.08691237767 & 4431.81299893412 & -148.726086556457 \tabularnewline
66 & 1887.5 & 1774.68440090981 & -2465.35925105463 & 4465.67485014481 & -112.815599090185 \tabularnewline
67 & 1416.5 & 1234.48344832233 & -2901.02014967783 & 4499.5367013555 & -182.016551677673 \tabularnewline
68 & 7399 & 7557.51606045045 & 2707.79078338563 & 4532.69315616391 & 158.516060450453 \tabularnewline
69 & 7013 & 7126.44810951451 & 2333.70227951317 & 4565.84961097232 & 113.448109514508 \tabularnewline
70 & 6644.5 & 6773.21128787441 & 1913.91490623478 & 4601.87380589081 & 128.71128787441 \tabularnewline
71 & 6238.5 & 6324.97451907626 & 1514.12748011444 & 4637.8980008093 & 86.4745190762615 \tabularnewline
72 & 5721 & 5781.06693791453 & 980.749173927766 & 4680.1838881577 & 60.0669379145311 \tabularnewline
73 & 5137.5 & 5163.05493902728 & 389.475285466614 & 4722.46977550611 & 25.5549390272772 \tabularnewline
74 & 4357 & 4139.48608390195 & -207.810462982015 & 4782.32437908007 & -217.513916098052 \tabularnewline
75 & 3750.5 & 3533.73537407113 & -874.91435672515 & 4842.17898265402 & -216.764625928875 \tabularnewline
76 & 3324 & 3182.58277790532 & -1458.5687646158 & 4923.98598671048 & -141.417222094684 \tabularnewline
77 & 2861 & 2648.29392161072 & -1932.08691237767 & 5005.79299076694 & -212.706078389278 \tabularnewline
78 & 2455.5 & 2263.19912752311 & -2465.35925105463 & 5113.16012353152 & -192.300872476891 \tabularnewline
79 & 2027.5 & 1735.49289338174 & -2901.02014967783 & 5220.52725629609 & -292.007106618264 \tabularnewline
80 & 8388.5 & 8708.9066594615 & 2707.79078338563 & 5360.30255715287 & 320.406659461501 \tabularnewline
81 & 7910 & 7986.21986247719 & 2333.70227951317 & 5500.07785800964 & 76.2198624771936 \tabularnewline
82 & 7686 & 7788.39781756347 & 1913.91490623478 & 5669.68727620175 & 102.397817563473 \tabularnewline
83 & 7163 & 6972.5758254917 & 1514.12748011444 & 5839.29669439386 & -190.424174508296 \tabularnewline
84 & 6841.5 & 6690.45816313096 & 980.749173927766 & 6011.79266294128 & -151.041836869043 \tabularnewline
85 & 6448.5 & 6323.23608304469 & 389.475285466614 & 6184.2886314887 & -125.263916955314 \tabularnewline
86 & 6060.5 & 6028.51006360437 & -207.810462982015 & 6300.30039937765 & -31.9899363956347 \tabularnewline
87 & 5739 & 5936.60218945855 & -874.91435672515 & 6416.3121672666 & 197.602189458549 \tabularnewline
88 & 5362.5 & 5728.42085551534 & -1458.5687646158 & 6455.14790910046 & 365.920855515342 \tabularnewline
89 & 5081 & 5600.10326144335 & -1932.08691237767 & 6493.98365093432 & 519.103261443349 \tabularnewline
90 & 4764 & 5519.7388323585 & -2465.35925105463 & 6473.62041869613 & 755.738832358496 \tabularnewline
91 & 4522.5 & 5492.76296321989 & -2901.02014967783 & 6453.25718645794 & 970.262963219885 \tabularnewline
92 & 9056.5 & 9022.90756205847 & 2707.79078338563 & 6382.3016545559 & -33.5924379415328 \tabularnewline
93 & 8352 & 8058.95159783298 & 2333.70227951317 & 6311.34612265385 & -293.048402167022 \tabularnewline
94 & 7683 & 7247.8649083304 & 1913.91490623478 & 6204.22018543482 & -435.135091669596 \tabularnewline
95 & 7319.5 & 7027.77827166978 & 1514.12748011444 & 6097.09424821578 & -291.721728330218 \tabularnewline
96 & 6708 & 6449.60988167817 & 980.749173927766 & 5985.64094439406 & -258.39011832183 \tabularnewline
97 & 6204.5 & 6145.33707396104 & 389.475285466614 & 5874.18764057235 & -59.1629260389645 \tabularnewline
98 & 5576.5 & 5555.9024928512 & -207.810462982015 & 5804.90797013081 & -20.5975071487974 \tabularnewline
99 & 4776.5 & 4692.28605703588 & -874.91435672515 & 5735.62829968927 & -84.2139429641247 \tabularnewline
100 & 4279.5 & 4297.15343708477 & -1458.5687646158 & 5720.41532753103 & 17.653437084773 \tabularnewline
101 & 3918 & 4062.88455700489 & -1932.08691237767 & 5705.20235537278 & 144.884557004885 \tabularnewline
102 & 3288.5 & 3331.9677868254 & -2465.35925105463 & 5710.39146422922 & 43.4677868254039 \tabularnewline
103 & 2393.5 & 1972.43957659216 & -2901.02014967783 & 5715.58057308567 & -421.060423407838 \tabularnewline
104 & 8131.5 & 7832.64566355656 & 2707.79078338563 & 5722.5635530578 & -298.854336443435 \tabularnewline
105 & 8121 & 8178.7511874569 & 2333.70227951317 & 5729.54653302994 & 57.7511874568954 \tabularnewline
106 & 7790.5 & 7928.90773501837 & 1913.91490623478 & 5738.17735874686 & 138.407735018365 \tabularnewline
107 & 7411.5 & 7562.06433542179 & 1514.12748011444 & 5746.80818446377 & 150.564335421786 \tabularnewline
108 & 6861 & 6973.11071845748 & 980.749173927766 & 5768.14010761476 & 112.110718457478 \tabularnewline
109 & 6197 & 6215.05268376765 & 389.475285466614 & 5789.47203076574 & 18.0526837676462 \tabularnewline
110 & 5622.5 & 5608.00764873295 & -207.810462982015 & 5844.80281424907 & -14.492351267053 \tabularnewline
111 & 4855.5 & 4685.78075899275 & -874.91435672515 & 5900.1335977324 & -169.719241007248 \tabularnewline
112 & 4303.5 & 4080.7304400169 & -1458.5687646158 & 5984.8383245989 & -222.769559983097 \tabularnewline
113 & 3853.5 & 3569.54386091227 & -1932.08691237767 & 6069.5430514654 & -283.95613908773 \tabularnewline
114 & 3283.5 & 2854.93042078316 & -2465.35925105463 & 6177.42883027147 & -428.569579216843 \tabularnewline
115 & 2861.5 & 2338.70554060028 & -2901.02014967783 & 6285.31460907755 & -522.794459399716 \tabularnewline
116 & 9486.5 & 9862.57151130512 & 2707.79078338563 & 6402.63770530925 & 376.071511305117 \tabularnewline
117 & 9061 & 9268.33691894588 & 2333.70227951317 & 6519.96080154095 & 207.336918945881 \tabularnewline
118 & 8877.5 & 9241.41692153551 & 1913.91490623478 & 6599.66817222971 & 363.916921535512 \tabularnewline
119 & 8557.5 & 8921.49697696709 & 1514.12748011444 & 6679.37554291847 & 363.996976967094 \tabularnewline
120 & 8031 & 8328.92458822012 & 980.749173927766 & 6752.32623785211 & 297.924588220124 \tabularnewline
121 & 7404.5 & 7594.24778174763 & 389.475285466614 & 6825.27693278575 & 189.74778174763 \tabularnewline
122 & 6852.5 & 7019.60129525825 & -207.810462982015 & 6893.20916772376 & 167.101295258251 \tabularnewline
123 & 6174.5 & 6262.77295406338 & -874.91435672515 & 6961.14140266177 & 88.2729540633763 \tabularnewline
124 & 5341.5 & 5121.00142706381 & -1458.5687646158 & 7020.56733755199 & -220.498572936191 \tabularnewline
125 & 4975.5 & 4803.09363993546 & -1932.08691237767 & 7079.99327244221 & -172.406360064542 \tabularnewline
126 & 4290 & 3913.35056206735 & -2465.35925105463 & 7132.00868898728 & -376.649437932652 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298088&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]5033[/C][C]5003.30032300413[/C][C]389.475285466614[/C][C]4673.22439152926[/C][C]-29.6996769958723[/C][/ROW]
[ROW][C]2[/C][C]4509.5[/C][C]4477.03525646774[/C][C]-207.810462982015[/C][C]4749.77520651427[/C][C]-32.4647435322577[/C][/ROW]
[ROW][C]3[/C][C]3970[/C][C]3988.58833522586[/C][C]-874.91435672515[/C][C]4826.32602149929[/C][C]18.5883352258634[/C][/ROW]
[ROW][C]4[/C][C]3378[/C][C]3317.46231514801[/C][C]-1458.5687646158[/C][C]4897.10644946779[/C][C]-60.5376848519891[/C][/ROW]
[ROW][C]5[/C][C]2866[/C][C]2696.20003494137[/C][C]-1932.08691237767[/C][C]4967.88687743629[/C][C]-169.799965058626[/C][/ROW]
[ROW][C]6[/C][C]2315.5[/C][C]2066.3608233715[/C][C]-2465.35925105463[/C][C]5029.99842768312[/C][C]-249.139176628496[/C][/ROW]
[ROW][C]7[/C][C]1895[/C][C]1598.91017174788[/C][C]-2901.02014967783[/C][C]5092.10997792995[/C][C]-296.089828252125[/C][/ROW]
[ROW][C]8[/C][C]8401.5[/C][C]8948.7624847742[/C][C]2707.79078338563[/C][C]5146.44673184017[/C][C]547.262484774195[/C][/ROW]
[ROW][C]9[/C][C]8040[/C][C]8545.51423473645[/C][C]2333.70227951317[/C][C]5200.78348575039[/C][C]505.514234736444[/C][/ROW]
[ROW][C]10[/C][C]7534[/C][C]7930.86736324746[/C][C]1913.91490623478[/C][C]5223.21773051776[/C][C]396.86736324746[/C][/ROW]
[ROW][C]11[/C][C]7135.5[/C][C]7511.22054460043[/C][C]1514.12748011444[/C][C]5245.65197528513[/C][C]375.720544600427[/C][/ROW]
[ROW][C]12[/C][C]6466.5[/C][C]6757.09329923263[/C][C]980.749173927766[/C][C]5195.1575268396[/C][C]290.593299232632[/C][/ROW]
[ROW][C]13[/C][C]5661.5[/C][C]5788.86163613931[/C][C]389.475285466614[/C][C]5144.66307839407[/C][C]127.361636139312[/C][/ROW]
[ROW][C]14[/C][C]4896[/C][C]4973.24729241353[/C][C]-207.810462982015[/C][C]5026.56317056848[/C][C]77.24729241353[/C][/ROW]
[ROW][C]15[/C][C]4064.5[/C][C]4095.45109398225[/C][C]-874.91435672515[/C][C]4908.4632627429[/C][C]30.9510939822521[/C][/ROW]
[ROW][C]16[/C][C]3296[/C][C]3302.39321645977[/C][C]-1458.5687646158[/C][C]4748.17554815603[/C][C]6.39321645977179[/C][/ROW]
[ROW][C]17[/C][C]2593.5[/C][C]2531.19907880851[/C][C]-1932.08691237767[/C][C]4587.88783356916[/C][C]-62.3009211914923[/C][/ROW]
[ROW][C]18[/C][C]2007[/C][C]2043.64537143693[/C][C]-2465.35925105463[/C][C]4435.7138796177[/C][C]36.6453714369291[/C][/ROW]
[ROW][C]19[/C][C]1513.5[/C][C]1644.48022401159[/C][C]-2901.02014967783[/C][C]4283.53992566624[/C][C]130.98022401159[/C][/ROW]
[ROW][C]20[/C][C]6645[/C][C]6414.35796608455[/C][C]2707.79078338563[/C][C]4167.85125052982[/C][C]-230.642033915455[/C][/ROW]
[ROW][C]21[/C][C]6221.5[/C][C]6057.13514509343[/C][C]2333.70227951317[/C][C]4052.1625753934[/C][C]-164.36485490657[/C][/ROW]
[ROW][C]22[/C][C]5474[/C][C]5053.35929424219[/C][C]1913.91490623478[/C][C]3980.72579952303[/C][C]-420.64070575781[/C][/ROW]
[ROW][C]23[/C][C]5135.5[/C][C]4847.5834962329[/C][C]1514.12748011444[/C][C]3909.28902365266[/C][C]-287.9165037671[/C][/ROW]
[ROW][C]24[/C][C]4630.5[/C][C]4382.66629520469[/C][C]980.749173927766[/C][C]3897.58453086755[/C][C]-247.833704795311[/C][/ROW]
[ROW][C]25[/C][C]4164[/C][C]4052.64467645096[/C][C]389.475285466614[/C][C]3885.88003808243[/C][C]-111.355323549044[/C][/ROW]
[ROW][C]26[/C][C]3600.5[/C][C]3432.52495267676[/C][C]-207.810462982015[/C][C]3976.28551030526[/C][C]-167.975047323243[/C][/ROW]
[ROW][C]27[/C][C]2969[/C][C]2746.22337419706[/C][C]-874.91435672515[/C][C]4066.69098252808[/C][C]-222.776625802935[/C][/ROW]
[ROW][C]28[/C][C]2503.5[/C][C]2221.59714406699[/C][C]-1458.5687646158[/C][C]4243.97162054881[/C][C]-281.902855933006[/C][/ROW]
[ROW][C]29[/C][C]2054.5[/C][C]1619.83465380814[/C][C]-1932.08691237767[/C][C]4421.25225856953[/C][C]-434.665346191861[/C][/ROW]
[ROW][C]30[/C][C]1608.5[/C][C]1056.63203626858[/C][C]-2465.35925105463[/C][C]4625.72721478604[/C][C]-551.867963731416[/C][/ROW]
[ROW][C]31[/C][C]1297.5[/C][C]665.817978675271[/C][C]-2901.02014967783[/C][C]4830.20217100256[/C][C]-631.682021324729[/C][/ROW]
[ROW][C]32[/C][C]8485[/C][C]9235.28363492513[/C][C]2707.79078338563[/C][C]5026.92558168924[/C][C]750.283634925127[/C][/ROW]
[ROW][C]33[/C][C]8163.5[/C][C]8769.64872811091[/C][C]2333.70227951317[/C][C]5223.64899237592[/C][C]606.14872811091[/C][/ROW]
[ROW][C]34[/C][C]7814[/C][C]8313.95087446002[/C][C]1913.91490623478[/C][C]5400.1342193052[/C][C]499.950874460022[/C][/ROW]
[ROW][C]35[/C][C]7453.5[/C][C]7816.25307365108[/C][C]1514.12748011444[/C][C]5576.61944623448[/C][C]362.753073651083[/C][/ROW]
[ROW][C]36[/C][C]6888.5[/C][C]7094.96537466189[/C][C]980.749173927766[/C][C]5701.28545141035[/C][C]206.465374661889[/C][/ROW]
[ROW][C]37[/C][C]6283.5[/C][C]6351.57325794717[/C][C]389.475285466614[/C][C]5825.95145658622[/C][C]68.0732579471696[/C][/ROW]
[ROW][C]38[/C][C]5712[/C][C]5761.57080254784[/C][C]-207.810462982015[/C][C]5870.23966043418[/C][C]49.5708025478352[/C][/ROW]
[ROW][C]39[/C][C]5030[/C][C]5020.38649244301[/C][C]-874.91435672515[/C][C]5914.52786428214[/C][C]-9.61350755699368[/C][/ROW]
[ROW][C]40[/C][C]4488[/C][C]4516.1886854563[/C][C]-1458.5687646158[/C][C]5918.3800791595[/C][C]28.1886854563036[/C][/ROW]
[ROW][C]41[/C][C]4058.5[/C][C]4126.85461834082[/C][C]-1932.08691237767[/C][C]5922.23229403685[/C][C]68.3546183408171[/C][/ROW]
[ROW][C]42[/C][C]3585[/C][C]3699.15314010713[/C][C]-2465.35925105463[/C][C]5936.2061109475[/C][C]114.153140107128[/C][/ROW]
[ROW][C]43[/C][C]3199.5[/C][C]3349.84022181968[/C][C]-2901.02014967783[/C][C]5950.17992785815[/C][C]150.340221819678[/C][/ROW]
[ROW][C]44[/C][C]8181[/C][C]7668.65428820742[/C][C]2707.79078338563[/C][C]5985.55492840695[/C][C]-512.345711792582[/C][/ROW]
[ROW][C]45[/C][C]8219.5[/C][C]8084.36779153109[/C][C]2333.70227951317[/C][C]6020.92992895575[/C][C]-135.132208468913[/C][/ROW]
[ROW][C]46[/C][C]7865.5[/C][C]7742.01871465771[/C][C]1913.91490623478[/C][C]6075.06637910751[/C][C]-123.481285342292[/C][/ROW]
[ROW][C]47[/C][C]7516.5[/C][C]7389.66969062628[/C][C]1514.12748011444[/C][C]6129.20282925928[/C][C]-126.83030937372[/C][/ROW]
[ROW][C]48[/C][C]7116[/C][C]7073.49374057434[/C][C]980.749173927766[/C][C]6177.7570854979[/C][C]-42.5062594256633[/C][/ROW]
[ROW][C]49[/C][C]6615.5[/C][C]6615.21337279687[/C][C]389.475285466614[/C][C]6226.31134173652[/C][C]-0.286627203130593[/C][/ROW]
[ROW][C]50[/C][C]6216.5[/C][C]6444.33449347113[/C][C]-207.810462982015[/C][C]6196.47596951088[/C][C]227.834493471134[/C][/ROW]
[ROW][C]51[/C][C]5699.5[/C][C]6107.2737594399[/C][C]-874.91435672515[/C][C]6166.64059728525[/C][C]407.773759439904[/C][/ROW]
[ROW][C]52[/C][C]5179[/C][C]5773.62952890555[/C][C]-1458.5687646158[/C][C]6042.93923571026[/C][C]594.629528905545[/C][/ROW]
[ROW][C]53[/C][C]4727.5[/C][C]5467.8490382424[/C][C]-1932.08691237767[/C][C]5919.23787413526[/C][C]740.349038242402[/C][/ROW]
[ROW][C]54[/C][C]4224.5[/C][C]5173.70560673845[/C][C]-2465.35925105463[/C][C]5740.65364431618[/C][C]949.205606738446[/C][/ROW]
[ROW][C]55[/C][C]3780.5[/C][C]4899.95073518073[/C][C]-2901.02014967783[/C][C]5562.0694144971[/C][C]1119.45073518073[/C][/ROW]
[ROW][C]56[/C][C]7023.5[/C][C]5980.43324652819[/C][C]2707.79078338563[/C][C]5358.77597008618[/C][C]-1043.06675347181[/C][/ROW]
[ROW][C]57[/C][C]6558[/C][C]5626.81519481158[/C][C]2333.70227951317[/C][C]5155.48252567526[/C][C]-931.184805188423[/C][/ROW]
[ROW][C]58[/C][C]6257.5[/C][C]5649.88589149117[/C][C]1913.91490623478[/C][C]4951.19920227406[/C][C]-607.614108508835[/C][/ROW]
[ROW][C]59[/C][C]5862.5[/C][C]5463.9566410127[/C][C]1514.12748011444[/C][C]4746.91587887286[/C][C]-398.543358987296[/C][/ROW]
[ROW][C]60[/C][C]5343[/C][C]5104.1481426005[/C][C]980.749173927766[/C][C]4601.10268347174[/C][C]-238.851857399504[/C][/ROW]
[ROW][C]61[/C][C]4756[/C][C]4667.23522646276[/C][C]389.475285466614[/C][C]4455.28948807062[/C][C]-88.7647735372366[/C][/ROW]
[ROW][C]62[/C][C]4173.5[/C][C]4138.32317994744[/C][C]-207.810462982015[/C][C]4416.48728303457[/C][C]-35.1768200525576[/C][/ROW]
[ROW][C]63[/C][C]3451.5[/C][C]3400.22927872663[/C][C]-874.91435672515[/C][C]4377.68507799852[/C][C]-51.2707212733721[/C][/ROW]
[ROW][C]64[/C][C]2849[/C][C]2751.81972614948[/C][C]-1458.5687646158[/C][C]4404.74903846632[/C][C]-97.1802738505221[/C][/ROW]
[ROW][C]65[/C][C]2351[/C][C]2202.27391344354[/C][C]-1932.08691237767[/C][C]4431.81299893412[/C][C]-148.726086556457[/C][/ROW]
[ROW][C]66[/C][C]1887.5[/C][C]1774.68440090981[/C][C]-2465.35925105463[/C][C]4465.67485014481[/C][C]-112.815599090185[/C][/ROW]
[ROW][C]67[/C][C]1416.5[/C][C]1234.48344832233[/C][C]-2901.02014967783[/C][C]4499.5367013555[/C][C]-182.016551677673[/C][/ROW]
[ROW][C]68[/C][C]7399[/C][C]7557.51606045045[/C][C]2707.79078338563[/C][C]4532.69315616391[/C][C]158.516060450453[/C][/ROW]
[ROW][C]69[/C][C]7013[/C][C]7126.44810951451[/C][C]2333.70227951317[/C][C]4565.84961097232[/C][C]113.448109514508[/C][/ROW]
[ROW][C]70[/C][C]6644.5[/C][C]6773.21128787441[/C][C]1913.91490623478[/C][C]4601.87380589081[/C][C]128.71128787441[/C][/ROW]
[ROW][C]71[/C][C]6238.5[/C][C]6324.97451907626[/C][C]1514.12748011444[/C][C]4637.8980008093[/C][C]86.4745190762615[/C][/ROW]
[ROW][C]72[/C][C]5721[/C][C]5781.06693791453[/C][C]980.749173927766[/C][C]4680.1838881577[/C][C]60.0669379145311[/C][/ROW]
[ROW][C]73[/C][C]5137.5[/C][C]5163.05493902728[/C][C]389.475285466614[/C][C]4722.46977550611[/C][C]25.5549390272772[/C][/ROW]
[ROW][C]74[/C][C]4357[/C][C]4139.48608390195[/C][C]-207.810462982015[/C][C]4782.32437908007[/C][C]-217.513916098052[/C][/ROW]
[ROW][C]75[/C][C]3750.5[/C][C]3533.73537407113[/C][C]-874.91435672515[/C][C]4842.17898265402[/C][C]-216.764625928875[/C][/ROW]
[ROW][C]76[/C][C]3324[/C][C]3182.58277790532[/C][C]-1458.5687646158[/C][C]4923.98598671048[/C][C]-141.417222094684[/C][/ROW]
[ROW][C]77[/C][C]2861[/C][C]2648.29392161072[/C][C]-1932.08691237767[/C][C]5005.79299076694[/C][C]-212.706078389278[/C][/ROW]
[ROW][C]78[/C][C]2455.5[/C][C]2263.19912752311[/C][C]-2465.35925105463[/C][C]5113.16012353152[/C][C]-192.300872476891[/C][/ROW]
[ROW][C]79[/C][C]2027.5[/C][C]1735.49289338174[/C][C]-2901.02014967783[/C][C]5220.52725629609[/C][C]-292.007106618264[/C][/ROW]
[ROW][C]80[/C][C]8388.5[/C][C]8708.9066594615[/C][C]2707.79078338563[/C][C]5360.30255715287[/C][C]320.406659461501[/C][/ROW]
[ROW][C]81[/C][C]7910[/C][C]7986.21986247719[/C][C]2333.70227951317[/C][C]5500.07785800964[/C][C]76.2198624771936[/C][/ROW]
[ROW][C]82[/C][C]7686[/C][C]7788.39781756347[/C][C]1913.91490623478[/C][C]5669.68727620175[/C][C]102.397817563473[/C][/ROW]
[ROW][C]83[/C][C]7163[/C][C]6972.5758254917[/C][C]1514.12748011444[/C][C]5839.29669439386[/C][C]-190.424174508296[/C][/ROW]
[ROW][C]84[/C][C]6841.5[/C][C]6690.45816313096[/C][C]980.749173927766[/C][C]6011.79266294128[/C][C]-151.041836869043[/C][/ROW]
[ROW][C]85[/C][C]6448.5[/C][C]6323.23608304469[/C][C]389.475285466614[/C][C]6184.2886314887[/C][C]-125.263916955314[/C][/ROW]
[ROW][C]86[/C][C]6060.5[/C][C]6028.51006360437[/C][C]-207.810462982015[/C][C]6300.30039937765[/C][C]-31.9899363956347[/C][/ROW]
[ROW][C]87[/C][C]5739[/C][C]5936.60218945855[/C][C]-874.91435672515[/C][C]6416.3121672666[/C][C]197.602189458549[/C][/ROW]
[ROW][C]88[/C][C]5362.5[/C][C]5728.42085551534[/C][C]-1458.5687646158[/C][C]6455.14790910046[/C][C]365.920855515342[/C][/ROW]
[ROW][C]89[/C][C]5081[/C][C]5600.10326144335[/C][C]-1932.08691237767[/C][C]6493.98365093432[/C][C]519.103261443349[/C][/ROW]
[ROW][C]90[/C][C]4764[/C][C]5519.7388323585[/C][C]-2465.35925105463[/C][C]6473.62041869613[/C][C]755.738832358496[/C][/ROW]
[ROW][C]91[/C][C]4522.5[/C][C]5492.76296321989[/C][C]-2901.02014967783[/C][C]6453.25718645794[/C][C]970.262963219885[/C][/ROW]
[ROW][C]92[/C][C]9056.5[/C][C]9022.90756205847[/C][C]2707.79078338563[/C][C]6382.3016545559[/C][C]-33.5924379415328[/C][/ROW]
[ROW][C]93[/C][C]8352[/C][C]8058.95159783298[/C][C]2333.70227951317[/C][C]6311.34612265385[/C][C]-293.048402167022[/C][/ROW]
[ROW][C]94[/C][C]7683[/C][C]7247.8649083304[/C][C]1913.91490623478[/C][C]6204.22018543482[/C][C]-435.135091669596[/C][/ROW]
[ROW][C]95[/C][C]7319.5[/C][C]7027.77827166978[/C][C]1514.12748011444[/C][C]6097.09424821578[/C][C]-291.721728330218[/C][/ROW]
[ROW][C]96[/C][C]6708[/C][C]6449.60988167817[/C][C]980.749173927766[/C][C]5985.64094439406[/C][C]-258.39011832183[/C][/ROW]
[ROW][C]97[/C][C]6204.5[/C][C]6145.33707396104[/C][C]389.475285466614[/C][C]5874.18764057235[/C][C]-59.1629260389645[/C][/ROW]
[ROW][C]98[/C][C]5576.5[/C][C]5555.9024928512[/C][C]-207.810462982015[/C][C]5804.90797013081[/C][C]-20.5975071487974[/C][/ROW]
[ROW][C]99[/C][C]4776.5[/C][C]4692.28605703588[/C][C]-874.91435672515[/C][C]5735.62829968927[/C][C]-84.2139429641247[/C][/ROW]
[ROW][C]100[/C][C]4279.5[/C][C]4297.15343708477[/C][C]-1458.5687646158[/C][C]5720.41532753103[/C][C]17.653437084773[/C][/ROW]
[ROW][C]101[/C][C]3918[/C][C]4062.88455700489[/C][C]-1932.08691237767[/C][C]5705.20235537278[/C][C]144.884557004885[/C][/ROW]
[ROW][C]102[/C][C]3288.5[/C][C]3331.9677868254[/C][C]-2465.35925105463[/C][C]5710.39146422922[/C][C]43.4677868254039[/C][/ROW]
[ROW][C]103[/C][C]2393.5[/C][C]1972.43957659216[/C][C]-2901.02014967783[/C][C]5715.58057308567[/C][C]-421.060423407838[/C][/ROW]
[ROW][C]104[/C][C]8131.5[/C][C]7832.64566355656[/C][C]2707.79078338563[/C][C]5722.5635530578[/C][C]-298.854336443435[/C][/ROW]
[ROW][C]105[/C][C]8121[/C][C]8178.7511874569[/C][C]2333.70227951317[/C][C]5729.54653302994[/C][C]57.7511874568954[/C][/ROW]
[ROW][C]106[/C][C]7790.5[/C][C]7928.90773501837[/C][C]1913.91490623478[/C][C]5738.17735874686[/C][C]138.407735018365[/C][/ROW]
[ROW][C]107[/C][C]7411.5[/C][C]7562.06433542179[/C][C]1514.12748011444[/C][C]5746.80818446377[/C][C]150.564335421786[/C][/ROW]
[ROW][C]108[/C][C]6861[/C][C]6973.11071845748[/C][C]980.749173927766[/C][C]5768.14010761476[/C][C]112.110718457478[/C][/ROW]
[ROW][C]109[/C][C]6197[/C][C]6215.05268376765[/C][C]389.475285466614[/C][C]5789.47203076574[/C][C]18.0526837676462[/C][/ROW]
[ROW][C]110[/C][C]5622.5[/C][C]5608.00764873295[/C][C]-207.810462982015[/C][C]5844.80281424907[/C][C]-14.492351267053[/C][/ROW]
[ROW][C]111[/C][C]4855.5[/C][C]4685.78075899275[/C][C]-874.91435672515[/C][C]5900.1335977324[/C][C]-169.719241007248[/C][/ROW]
[ROW][C]112[/C][C]4303.5[/C][C]4080.7304400169[/C][C]-1458.5687646158[/C][C]5984.8383245989[/C][C]-222.769559983097[/C][/ROW]
[ROW][C]113[/C][C]3853.5[/C][C]3569.54386091227[/C][C]-1932.08691237767[/C][C]6069.5430514654[/C][C]-283.95613908773[/C][/ROW]
[ROW][C]114[/C][C]3283.5[/C][C]2854.93042078316[/C][C]-2465.35925105463[/C][C]6177.42883027147[/C][C]-428.569579216843[/C][/ROW]
[ROW][C]115[/C][C]2861.5[/C][C]2338.70554060028[/C][C]-2901.02014967783[/C][C]6285.31460907755[/C][C]-522.794459399716[/C][/ROW]
[ROW][C]116[/C][C]9486.5[/C][C]9862.57151130512[/C][C]2707.79078338563[/C][C]6402.63770530925[/C][C]376.071511305117[/C][/ROW]
[ROW][C]117[/C][C]9061[/C][C]9268.33691894588[/C][C]2333.70227951317[/C][C]6519.96080154095[/C][C]207.336918945881[/C][/ROW]
[ROW][C]118[/C][C]8877.5[/C][C]9241.41692153551[/C][C]1913.91490623478[/C][C]6599.66817222971[/C][C]363.916921535512[/C][/ROW]
[ROW][C]119[/C][C]8557.5[/C][C]8921.49697696709[/C][C]1514.12748011444[/C][C]6679.37554291847[/C][C]363.996976967094[/C][/ROW]
[ROW][C]120[/C][C]8031[/C][C]8328.92458822012[/C][C]980.749173927766[/C][C]6752.32623785211[/C][C]297.924588220124[/C][/ROW]
[ROW][C]121[/C][C]7404.5[/C][C]7594.24778174763[/C][C]389.475285466614[/C][C]6825.27693278575[/C][C]189.74778174763[/C][/ROW]
[ROW][C]122[/C][C]6852.5[/C][C]7019.60129525825[/C][C]-207.810462982015[/C][C]6893.20916772376[/C][C]167.101295258251[/C][/ROW]
[ROW][C]123[/C][C]6174.5[/C][C]6262.77295406338[/C][C]-874.91435672515[/C][C]6961.14140266177[/C][C]88.2729540633763[/C][/ROW]
[ROW][C]124[/C][C]5341.5[/C][C]5121.00142706381[/C][C]-1458.5687646158[/C][C]7020.56733755199[/C][C]-220.498572936191[/C][/ROW]
[ROW][C]125[/C][C]4975.5[/C][C]4803.09363993546[/C][C]-1932.08691237767[/C][C]7079.99327244221[/C][C]-172.406360064542[/C][/ROW]
[ROW][C]126[/C][C]4290[/C][C]3913.35056206735[/C][C]-2465.35925105463[/C][C]7132.00868898728[/C][C]-376.649437932652[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=298088&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298088&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
150335003.30032300413389.4752854666144673.22439152926-29.6996769958723
24509.54477.03525646774-207.8104629820154749.77520651427-32.4647435322577
339703988.58833522586-874.914356725154826.3260214992918.5883352258634
433783317.46231514801-1458.56876461584897.10644946779-60.5376848519891
528662696.20003494137-1932.086912377674967.88687743629-169.799965058626
62315.52066.3608233715-2465.359251054635029.99842768312-249.139176628496
718951598.91017174788-2901.020149677835092.10997792995-296.089828252125
88401.58948.76248477422707.790783385635146.44673184017547.262484774195
980408545.514234736452333.702279513175200.78348575039505.514234736444
1075347930.867363247461913.914906234785223.21773051776396.86736324746
117135.57511.220544600431514.127480114445245.65197528513375.720544600427
126466.56757.09329923263980.7491739277665195.1575268396290.593299232632
135661.55788.86163613931389.4752854666145144.66307839407127.361636139312
1448964973.24729241353-207.8104629820155026.5631705684877.24729241353
154064.54095.45109398225-874.914356725154908.463262742930.9510939822521
1632963302.39321645977-1458.56876461584748.175548156036.39321645977179
172593.52531.19907880851-1932.086912377674587.88783356916-62.3009211914923
1820072043.64537143693-2465.359251054634435.713879617736.6453714369291
191513.51644.48022401159-2901.020149677834283.53992566624130.98022401159
2066456414.357966084552707.790783385634167.85125052982-230.642033915455
216221.56057.135145093432333.702279513174052.1625753934-164.36485490657
2254745053.359294242191913.914906234783980.72579952303-420.64070575781
235135.54847.58349623291514.127480114443909.28902365266-287.9165037671
244630.54382.66629520469980.7491739277663897.58453086755-247.833704795311
2541644052.64467645096389.4752854666143885.88003808243-111.355323549044
263600.53432.52495267676-207.8104629820153976.28551030526-167.975047323243
2729692746.22337419706-874.914356725154066.69098252808-222.776625802935
282503.52221.59714406699-1458.56876461584243.97162054881-281.902855933006
292054.51619.83465380814-1932.086912377674421.25225856953-434.665346191861
301608.51056.63203626858-2465.359251054634625.72721478604-551.867963731416
311297.5665.817978675271-2901.020149677834830.20217100256-631.682021324729
3284859235.283634925132707.790783385635026.92558168924750.283634925127
338163.58769.648728110912333.702279513175223.64899237592606.14872811091
3478148313.950874460021913.914906234785400.1342193052499.950874460022
357453.57816.253073651081514.127480114445576.61944623448362.753073651083
366888.57094.96537466189980.7491739277665701.28545141035206.465374661889
376283.56351.57325794717389.4752854666145825.9514565862268.0732579471696
3857125761.57080254784-207.8104629820155870.2396604341849.5708025478352
3950305020.38649244301-874.914356725155914.52786428214-9.61350755699368
4044884516.1886854563-1458.56876461585918.380079159528.1886854563036
414058.54126.85461834082-1932.086912377675922.2322940368568.3546183408171
4235853699.15314010713-2465.359251054635936.2061109475114.153140107128
433199.53349.84022181968-2901.020149677835950.17992785815150.340221819678
4481817668.654288207422707.790783385635985.55492840695-512.345711792582
458219.58084.367791531092333.702279513176020.92992895575-135.132208468913
467865.57742.018714657711913.914906234786075.06637910751-123.481285342292
477516.57389.669690626281514.127480114446129.20282925928-126.83030937372
4871167073.49374057434980.7491739277666177.7570854979-42.5062594256633
496615.56615.21337279687389.4752854666146226.31134173652-0.286627203130593
506216.56444.33449347113-207.8104629820156196.47596951088227.834493471134
515699.56107.2737594399-874.914356725156166.64059728525407.773759439904
5251795773.62952890555-1458.56876461586042.93923571026594.629528905545
534727.55467.8490382424-1932.086912377675919.23787413526740.349038242402
544224.55173.70560673845-2465.359251054635740.65364431618949.205606738446
553780.54899.95073518073-2901.020149677835562.06941449711119.45073518073
567023.55980.433246528192707.790783385635358.77597008618-1043.06675347181
5765585626.815194811582333.702279513175155.48252567526-931.184805188423
586257.55649.885891491171913.914906234784951.19920227406-607.614108508835
595862.55463.95664101271514.127480114444746.91587887286-398.543358987296
6053435104.1481426005980.7491739277664601.10268347174-238.851857399504
6147564667.23522646276389.4752854666144455.28948807062-88.7647735372366
624173.54138.32317994744-207.8104629820154416.48728303457-35.1768200525576
633451.53400.22927872663-874.914356725154377.68507799852-51.2707212733721
6428492751.81972614948-1458.56876461584404.74903846632-97.1802738505221
6523512202.27391344354-1932.086912377674431.81299893412-148.726086556457
661887.51774.68440090981-2465.359251054634465.67485014481-112.815599090185
671416.51234.48344832233-2901.020149677834499.5367013555-182.016551677673
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735137.55163.05493902728389.4752854666144722.4697755061125.5549390272772
7443574139.48608390195-207.8104629820154782.32437908007-217.513916098052
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1236174.56262.77295406338-874.914356725156961.1414026617788.2729540633763
1245341.55121.00142706381-1458.56876461587020.56733755199-220.498572936191
1254975.54803.09363993546-1932.086912377677079.99327244221-172.406360064542
12642903913.35056206735-2465.359251054637132.00868898728-376.649437932652



Parameters (Session):
par1 = 12 ; par2 = 18 ; par3 = BFGS ;
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')