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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_structuraltimeseries.wasp
Title produced by softwareStructural Time Series Models
Date of computationSat, 17 Dec 2016 14:07:38 +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/17/t1481980099zu3u4umlt3tmrhh.htm/, Retrieved Thu, 02 May 2024 00:04:29 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=300770, Retrieved Thu, 02 May 2024 00:04:29 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact45
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Structural Time Series Models] [N2568] [2016-12-17 13:07:38] [563c2945bc7c763925d38f2fb19cdb55] [Current]
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Dataseries X:
5750.5
3881.6
4350.4
6623.4
3375.5
6651.7
4394.8
4968.3
6355.6
4515.7
4620
5804.4
6254.4
4788.6
4446.4
8018
3745.9
6928.2
5201.7
5520.9
6801.9
5225.1
5149.4
6240.4
7045.4
5402.1
4960.6
9459.3
3979.4
7215.1
5797
5577.6
7380.8
5788.6
5116.3
6819.3
7671
5337
4955.7
9143.8
4624.6
7702.4
6297.4
5652.3
7801.3
5901.2
5296.7
7803.5
8177.1
5546.3
5651.5
12289.7
4769.1
8294.5
6422.3
6021.3
9241
6229.5
5691.5
8546.9
8174
6027.9
6566.4
10926.6
5963.5
9914
6063.1
6939
9774.2
6358.2
6432
9365.5
8930.6
6189.7
6820.5
12889.2
7102.5
10824.9
6619.1
7613.6
9923.3
6842.6
7121.3
8913
9952.4
6514.1
6480.5
13960.4
6918.6
11060.1
7232.9
7846.2
10293.9
7698.6
7050.7
10190
10071.3
6765.7
6480.5
14038
6356
10338.9
7859.3
7642.6
10935
7806.5
7309.5
10363.6
10403.1
6274.7
7212.7
13835.1
6218.4
12087.8
7905
7810.1




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time4 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 time4 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300770&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]4 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=300770&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300770&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 time4 seconds
R ServerBig Analytics Cloud Computing Center







Structural Time Series Model -- Interpolation
tObservedLevelSlopeSeasonalStand. Residuals
15750.55750.5000
23881.65464.2896063321423.8426596279966-1398.32202025439-3.33243717868831
34350.44743.81291299604-39.8310874677189-254.46869736293-3.04889254756641
46623.45128.696565733640.1093383772831021423.751341123511.704329071051
53375.54721.58300937594-34.1435144277354-1262.6976416093-1.94079566154076
66651.75108.86884159539-4.958210934261051440.989790209592.28082001686127
74394.85053.23729861522-7.77826713745622-644.999964862851-0.293670259641538
84968.35011.52510131737-9.32550845682767-33.7948331816556-0.203320407354242
96355.65327.748823861983.37969416930951935.2893695801811.98136444152188
104515.75242.421762556130.270883195761725-701.224183707578-0.543766366007615
1146205058.1610551105-5.76388284490977-384.854111324673-1.1346866063707
125804.45173.85787860249-1.96521210537288595.3762507820720.747822421933651
136254.45333.87627131075-3.47164536622128870.4456365915971.08111130664851
144788.65483.12814708268-3.60994909554024-740.6490702310720.996497162620275
154446.45405.18979727494-5.03712454998382-938.585453554262-0.443056284846236
1680185646.463581799653.034665268474272309.795896433651.38356007694689
173745.95640.764641259732.6991075923658-1892.7150842406-0.048776894128424
186928.25600.233129761211.028686984692511338.84374724895-0.247155706087368
195201.75664.574601289353.30054814745545-479.3321619774130.372360733913274
205520.95702.795564478654.41552378117049-191.2315552266330.210054858529609
216801.95727.193060126164.97005521313541069.25638611770.122017043638817
225225.15768.789016536445.83569515365563-553.8139139537970.225709594015564
235149.45773.403854731025.81197761619201-623.663248674601-0.00756648288918121
246240.45794.428953715576.03800976294099441.6932408328410.0947624107147692
257045.45927.354459758687.298282441528391082.025365311610.796448813911921
265402.16038.001087937268.37650259042233-665.0233466985490.644171196733368
274960.66091.632150652359.04607989433945-1143.469229657210.276164661623212
289459.36367.6178206479714.32411057689143020.27494168621.59574821644595
293979.46344.0579915024113.4403942167806-2354.67145968112-0.224457659581819
307215.16246.140205393510.6705298959909998.324810524603-0.661932305988783
3157976237.2749354681110.1892930303027-435.071951558075-0.117281843415029
325577.66136.600120483637.62652391224763-529.087789585133-0.673006443335847
337380.86160.350158694177.962473801794191216.047397414580.0987945814906518
345788.66225.352206220399.00105903224606-452.4726365098820.351864762307665
355116.36161.702426085227.86973320065124-1025.24387210588-0.450211695277519
366819.36237.524081545798.7728157010898562.8374777655940.422281837686726
3776716383.3769224732810.3981455375961249.362315358870.85234909091667
3853376375.9949300425810.1863037968915-1034.05117032243-0.110148520106426
394955.76349.940807301439.70521829884455-1384.25277062707-0.222844441414343
409143.86269.71620720978.339240010173422898.61914519571-0.548685185990705
414624.66388.2146844187310.2000187876784-1793.459922569290.669032913954439
427702.46491.7162537269411.87053649077881185.447858551010.566613659138658
436297.46569.3828730491513.0597728471358-289.8331613337570.400959777122986
445652.36515.7927120425711.8945439194009-845.308310494593-0.40822292114368
457801.36529.8842475035711.93044074806761270.812585440280.0135242794401916
465901.26498.904673021911.2908150303739-585.858638037861-0.265245230197378
475296.76477.6137970037510.8522759271975-1171.88095809504-0.202000293354314
487803.56674.0619353849513.12915397813521077.850509550551.15255525815789
498177.16793.5875217224314.35962276789221353.921464778440.660771131058715
505546.36781.0748568794414.0509865977836-1227.31393718237-0.166603898424956
515651.56843.9265737303614.6345228973963-1205.926952328840.301631585375993
5212289.77498.0438164937822.777728500174615.48960325583.93973072344579
534769.17514.3526635221822.6903304284237-2743.47628779048-0.0397674809978791
548294.57436.4748858199721.2784403470186885.609630346779-0.61801082622338
556422.37238.8670153622418.173374344508-756.469545756744-1.34684466936696
566021.37099.8380175282215.9828675246276-1035.26746602869-0.969549323754456
5792417271.1519185634918.05833697448991926.956258316220.96053388616609
586229.57251.2424425178717.5798512290171-1011.22575903025-0.23534613389551
595691.57216.2805865605816.9590185230444-1510.19048334716-0.326274816790374
608546.97308.5964660187717.79966011618241217.344464456780.468443331268759
6181747266.0444842162217.1515970259147924.749423440755-0.375228137910564
626027.97326.9422562735117.6160371745024-1311.207587532950.27179650348681
636566.47560.4290597736219.939084094032-1053.969775161261.33947127404386
6410926.67324.5290445415317.10666990761533672.98070253961-1.58523092638485
655963.57532.5429397111419.2853195035828-1621.878648801791.18171971054493
6699147905.9705645619223.41484769573481910.076432893832.1916163045666
676063.17764.4188380226221.4789367445365-1655.67283155796-1.02145994109035
6869397800.1772169139821.6447119273098-865.1330559293890.0885170855019806
699774.27823.6485297545221.66536899741971950.044609509660.0113387078571917
706358.27733.8419225015520.4505229816177-1344.6564017819-0.692904604047932
7164327778.1589148756620.7001715335577-1352.802813634850.148515160623302
729365.57890.8144811361521.62682744038171449.061231712270.572610759421909
738930.67988.5304039328922.3733940999156920.8575173796440.473915079842952
746189.77947.6066020650721.7598853442105-1740.26334972303-0.39415446203523
756820.57916.060183854921.2423389804241-1080.71057907434-0.331766342237175
7612889.28280.166524153924.6081001922474513.595052680942.1326204202506
777102.58555.5413157122727.1039107351765-1522.798925357511.55908844012667
7810824.98704.8069655747428.33222083552772086.119749301720.759435266545414
796619.18661.4257171436627.6095694171632-2022.37822200243-0.445940382832619
807613.68610.3574242155326.8228553712089-974.859157949074-0.48953589062281
819923.38448.6086254623724.9694008776161527.22311034586-1.17419221368007
826842.68368.4024719696823.9601779268851-1496.47434886149-0.655415111178365
837121.38406.5640896449524.0928373521014-1289.227645383010.0885572156908016
8489138231.1392567397722.2753954017265737.581640562447-1.24472806639127
859952.48382.9071460887423.43219720913171533.315688123990.808039472259728
866514.18454.5648948717923.8580749448853-1953.938634019010.300925618557066
876480.58372.0988691128722.9224840380349-1861.89850588218-0.663340867851497
8813960.48653.5459466455425.20237600176445234.659512878051.61252555201338
896918.68706.7916861459825.4508081128952-1796.020981282490.174888890538289
9011060.18759.506396991625.69311401704212292.982601767310.170025329969872
917232.98859.8785200316126.3562117385779-1647.828811632880.465799255020648
927846.28845.4029880889525.9960138411509-987.798735894764-0.254767823803281
9310293.98809.5321943726625.45683524081441501.65600220399-0.386185368067341
947698.68889.9011666434425.9276246705559-1206.654785079980.34293298910395
957050.78781.1250012620224.7937577026247-1692.74086988576-0.841595264165485
96101908944.5682476508125.94034852838531206.626924495140.866523963391414
9710071.38928.2554217084925.59603708940041154.87359303947-0.264122300754566
986765.78897.2122188659125.1392407978932-2115.65384458704-0.354073059870018
996480.58823.8996466753524.3497827856601-2315.83442894479-0.615445703046741
100140388817.9406657441324.107281560435228.54476456304-0.189456305048162
10163568682.7759973577422.8335783280938-2282.1881483422-0.995554089352878
10210338.98510.515515314321.27473212384541883.00106035081-1.21950791969004
1037859.38684.1631873092622.4886546641736-867.525007112520.952584453299516
1047642.68727.0255520375122.6499887950277-1090.131163126870.127396832559974
105109358914.2184553084823.9408839943121974.686999066321.02916862222599
1067806.58989.6887812829724.3403634921601-1197.629279128620.322396836152466
1077309.59038.9610385461424.5311026919067-1736.45035286760.156030914007308
10810363.69068.645705126624.57001724209111293.509131154470.0322598033844214
10910403.19101.3690720115424.63087689142831299.44405889140.0510458066096521
1106274.78925.5201077662723.147987942147-2594.58146359306-1.25526636568192
1117212.78992.8910263911223.4729817682109-1792.597258259150.276905716804319
11213835.18899.2251580608222.61583367054144968.7376128476-0.733490109787603
1136218.48776.1048552207721.5527576121345-2516.81832274568-0.912582813039693
11412087.89118.810992771523.88815237041552878.883957025542.01114343098727
11579059182.0946878151224.1734524789543-1288.148972003410.246730560599033
1167810.19182.4156523250324.0017170102804-1365.6215920275-0.149408278723293

\begin{tabular}{lllllllll}
\hline
Structural Time Series Model -- Interpolation \tabularnewline
t & Observed & Level & Slope & Seasonal & Stand. Residuals \tabularnewline
1 & 5750.5 & 5750.5 & 0 & 0 & 0 \tabularnewline
2 & 3881.6 & 5464.28960633214 & 23.8426596279966 & -1398.32202025439 & -3.33243717868831 \tabularnewline
3 & 4350.4 & 4743.81291299604 & -39.8310874677189 & -254.46869736293 & -3.04889254756641 \tabularnewline
4 & 6623.4 & 5128.69656573364 & 0.109338377283102 & 1423.75134112351 & 1.704329071051 \tabularnewline
5 & 3375.5 & 4721.58300937594 & -34.1435144277354 & -1262.6976416093 & -1.94079566154076 \tabularnewline
6 & 6651.7 & 5108.86884159539 & -4.95821093426105 & 1440.98979020959 & 2.28082001686127 \tabularnewline
7 & 4394.8 & 5053.23729861522 & -7.77826713745622 & -644.999964862851 & -0.293670259641538 \tabularnewline
8 & 4968.3 & 5011.52510131737 & -9.32550845682767 & -33.7948331816556 & -0.203320407354242 \tabularnewline
9 & 6355.6 & 5327.74882386198 & 3.37969416930951 & 935.289369580181 & 1.98136444152188 \tabularnewline
10 & 4515.7 & 5242.42176255613 & 0.270883195761725 & -701.224183707578 & -0.543766366007615 \tabularnewline
11 & 4620 & 5058.1610551105 & -5.76388284490977 & -384.854111324673 & -1.1346866063707 \tabularnewline
12 & 5804.4 & 5173.85787860249 & -1.96521210537288 & 595.376250782072 & 0.747822421933651 \tabularnewline
13 & 6254.4 & 5333.87627131075 & -3.47164536622128 & 870.445636591597 & 1.08111130664851 \tabularnewline
14 & 4788.6 & 5483.12814708268 & -3.60994909554024 & -740.649070231072 & 0.996497162620275 \tabularnewline
15 & 4446.4 & 5405.18979727494 & -5.03712454998382 & -938.585453554262 & -0.443056284846236 \tabularnewline
16 & 8018 & 5646.46358179965 & 3.03466526847427 & 2309.79589643365 & 1.38356007694689 \tabularnewline
17 & 3745.9 & 5640.76464125973 & 2.6991075923658 & -1892.7150842406 & -0.048776894128424 \tabularnewline
18 & 6928.2 & 5600.23312976121 & 1.02868698469251 & 1338.84374724895 & -0.247155706087368 \tabularnewline
19 & 5201.7 & 5664.57460128935 & 3.30054814745545 & -479.332161977413 & 0.372360733913274 \tabularnewline
20 & 5520.9 & 5702.79556447865 & 4.41552378117049 & -191.231555226633 & 0.210054858529609 \tabularnewline
21 & 6801.9 & 5727.19306012616 & 4.9700552131354 & 1069.2563861177 & 0.122017043638817 \tabularnewline
22 & 5225.1 & 5768.78901653644 & 5.83569515365563 & -553.813913953797 & 0.225709594015564 \tabularnewline
23 & 5149.4 & 5773.40385473102 & 5.81197761619201 & -623.663248674601 & -0.00756648288918121 \tabularnewline
24 & 6240.4 & 5794.42895371557 & 6.03800976294099 & 441.693240832841 & 0.0947624107147692 \tabularnewline
25 & 7045.4 & 5927.35445975868 & 7.29828244152839 & 1082.02536531161 & 0.796448813911921 \tabularnewline
26 & 5402.1 & 6038.00108793726 & 8.37650259042233 & -665.023346698549 & 0.644171196733368 \tabularnewline
27 & 4960.6 & 6091.63215065235 & 9.04607989433945 & -1143.46922965721 & 0.276164661623212 \tabularnewline
28 & 9459.3 & 6367.61782064797 & 14.3241105768914 & 3020.2749416862 & 1.59574821644595 \tabularnewline
29 & 3979.4 & 6344.05799150241 & 13.4403942167806 & -2354.67145968112 & -0.224457659581819 \tabularnewline
30 & 7215.1 & 6246.1402053935 & 10.6705298959909 & 998.324810524603 & -0.661932305988783 \tabularnewline
31 & 5797 & 6237.27493546811 & 10.1892930303027 & -435.071951558075 & -0.117281843415029 \tabularnewline
32 & 5577.6 & 6136.60012048363 & 7.62652391224763 & -529.087789585133 & -0.673006443335847 \tabularnewline
33 & 7380.8 & 6160.35015869417 & 7.96247380179419 & 1216.04739741458 & 0.0987945814906518 \tabularnewline
34 & 5788.6 & 6225.35220622039 & 9.00105903224606 & -452.472636509882 & 0.351864762307665 \tabularnewline
35 & 5116.3 & 6161.70242608522 & 7.86973320065124 & -1025.24387210588 & -0.450211695277519 \tabularnewline
36 & 6819.3 & 6237.52408154579 & 8.7728157010898 & 562.837477765594 & 0.422281837686726 \tabularnewline
37 & 7671 & 6383.37692247328 & 10.398145537596 & 1249.36231535887 & 0.85234909091667 \tabularnewline
38 & 5337 & 6375.99493004258 & 10.1863037968915 & -1034.05117032243 & -0.110148520106426 \tabularnewline
39 & 4955.7 & 6349.94080730143 & 9.70521829884455 & -1384.25277062707 & -0.222844441414343 \tabularnewline
40 & 9143.8 & 6269.7162072097 & 8.33924001017342 & 2898.61914519571 & -0.548685185990705 \tabularnewline
41 & 4624.6 & 6388.21468441873 & 10.2000187876784 & -1793.45992256929 & 0.669032913954439 \tabularnewline
42 & 7702.4 & 6491.71625372694 & 11.8705364907788 & 1185.44785855101 & 0.566613659138658 \tabularnewline
43 & 6297.4 & 6569.38287304915 & 13.0597728471358 & -289.833161333757 & 0.400959777122986 \tabularnewline
44 & 5652.3 & 6515.79271204257 & 11.8945439194009 & -845.308310494593 & -0.40822292114368 \tabularnewline
45 & 7801.3 & 6529.88424750357 & 11.9304407480676 & 1270.81258544028 & 0.0135242794401916 \tabularnewline
46 & 5901.2 & 6498.9046730219 & 11.2908150303739 & -585.858638037861 & -0.265245230197378 \tabularnewline
47 & 5296.7 & 6477.61379700375 & 10.8522759271975 & -1171.88095809504 & -0.202000293354314 \tabularnewline
48 & 7803.5 & 6674.06193538495 & 13.1291539781352 & 1077.85050955055 & 1.15255525815789 \tabularnewline
49 & 8177.1 & 6793.58752172243 & 14.3596227678922 & 1353.92146477844 & 0.660771131058715 \tabularnewline
50 & 5546.3 & 6781.07485687944 & 14.0509865977836 & -1227.31393718237 & -0.166603898424956 \tabularnewline
51 & 5651.5 & 6843.92657373036 & 14.6345228973963 & -1205.92695232884 & 0.301631585375993 \tabularnewline
52 & 12289.7 & 7498.04381649378 & 22.77772850017 & 4615.4896032558 & 3.93973072344579 \tabularnewline
53 & 4769.1 & 7514.35266352218 & 22.6903304284237 & -2743.47628779048 & -0.0397674809978791 \tabularnewline
54 & 8294.5 & 7436.47488581997 & 21.2784403470186 & 885.609630346779 & -0.61801082622338 \tabularnewline
55 & 6422.3 & 7238.86701536224 & 18.173374344508 & -756.469545756744 & -1.34684466936696 \tabularnewline
56 & 6021.3 & 7099.83801752822 & 15.9828675246276 & -1035.26746602869 & -0.969549323754456 \tabularnewline
57 & 9241 & 7271.15191856349 & 18.0583369744899 & 1926.95625831622 & 0.96053388616609 \tabularnewline
58 & 6229.5 & 7251.24244251787 & 17.5798512290171 & -1011.22575903025 & -0.23534613389551 \tabularnewline
59 & 5691.5 & 7216.28058656058 & 16.9590185230444 & -1510.19048334716 & -0.326274816790374 \tabularnewline
60 & 8546.9 & 7308.59646601877 & 17.7996601161824 & 1217.34446445678 & 0.468443331268759 \tabularnewline
61 & 8174 & 7266.04448421622 & 17.1515970259147 & 924.749423440755 & -0.375228137910564 \tabularnewline
62 & 6027.9 & 7326.94225627351 & 17.6160371745024 & -1311.20758753295 & 0.27179650348681 \tabularnewline
63 & 6566.4 & 7560.42905977362 & 19.939084094032 & -1053.96977516126 & 1.33947127404386 \tabularnewline
64 & 10926.6 & 7324.52904454153 & 17.1066699076153 & 3672.98070253961 & -1.58523092638485 \tabularnewline
65 & 5963.5 & 7532.54293971114 & 19.2853195035828 & -1621.87864880179 & 1.18171971054493 \tabularnewline
66 & 9914 & 7905.97056456192 & 23.4148476957348 & 1910.07643289383 & 2.1916163045666 \tabularnewline
67 & 6063.1 & 7764.41883802262 & 21.4789367445365 & -1655.67283155796 & -1.02145994109035 \tabularnewline
68 & 6939 & 7800.17721691398 & 21.6447119273098 & -865.133055929389 & 0.0885170855019806 \tabularnewline
69 & 9774.2 & 7823.64852975452 & 21.6653689974197 & 1950.04460950966 & 0.0113387078571917 \tabularnewline
70 & 6358.2 & 7733.84192250155 & 20.4505229816177 & -1344.6564017819 & -0.692904604047932 \tabularnewline
71 & 6432 & 7778.15891487566 & 20.7001715335577 & -1352.80281363485 & 0.148515160623302 \tabularnewline
72 & 9365.5 & 7890.81448113615 & 21.6268274403817 & 1449.06123171227 & 0.572610759421909 \tabularnewline
73 & 8930.6 & 7988.53040393289 & 22.3733940999156 & 920.857517379644 & 0.473915079842952 \tabularnewline
74 & 6189.7 & 7947.60660206507 & 21.7598853442105 & -1740.26334972303 & -0.39415446203523 \tabularnewline
75 & 6820.5 & 7916.0601838549 & 21.2423389804241 & -1080.71057907434 & -0.331766342237175 \tabularnewline
76 & 12889.2 & 8280.1665241539 & 24.608100192247 & 4513.59505268094 & 2.1326204202506 \tabularnewline
77 & 7102.5 & 8555.54131571227 & 27.1039107351765 & -1522.79892535751 & 1.55908844012667 \tabularnewline
78 & 10824.9 & 8704.80696557474 & 28.3322208355277 & 2086.11974930172 & 0.759435266545414 \tabularnewline
79 & 6619.1 & 8661.42571714366 & 27.6095694171632 & -2022.37822200243 & -0.445940382832619 \tabularnewline
80 & 7613.6 & 8610.35742421553 & 26.8228553712089 & -974.859157949074 & -0.48953589062281 \tabularnewline
81 & 9923.3 & 8448.60862546237 & 24.969400877616 & 1527.22311034586 & -1.17419221368007 \tabularnewline
82 & 6842.6 & 8368.40247196968 & 23.9601779268851 & -1496.47434886149 & -0.655415111178365 \tabularnewline
83 & 7121.3 & 8406.56408964495 & 24.0928373521014 & -1289.22764538301 & 0.0885572156908016 \tabularnewline
84 & 8913 & 8231.13925673977 & 22.2753954017265 & 737.581640562447 & -1.24472806639127 \tabularnewline
85 & 9952.4 & 8382.90714608874 & 23.4321972091317 & 1533.31568812399 & 0.808039472259728 \tabularnewline
86 & 6514.1 & 8454.56489487179 & 23.8580749448853 & -1953.93863401901 & 0.300925618557066 \tabularnewline
87 & 6480.5 & 8372.09886911287 & 22.9224840380349 & -1861.89850588218 & -0.663340867851497 \tabularnewline
88 & 13960.4 & 8653.54594664554 & 25.2023760017644 & 5234.65951287805 & 1.61252555201338 \tabularnewline
89 & 6918.6 & 8706.79168614598 & 25.4508081128952 & -1796.02098128249 & 0.174888890538289 \tabularnewline
90 & 11060.1 & 8759.5063969916 & 25.6931140170421 & 2292.98260176731 & 0.170025329969872 \tabularnewline
91 & 7232.9 & 8859.87852003161 & 26.3562117385779 & -1647.82881163288 & 0.465799255020648 \tabularnewline
92 & 7846.2 & 8845.40298808895 & 25.9960138411509 & -987.798735894764 & -0.254767823803281 \tabularnewline
93 & 10293.9 & 8809.53219437266 & 25.4568352408144 & 1501.65600220399 & -0.386185368067341 \tabularnewline
94 & 7698.6 & 8889.90116664344 & 25.9276246705559 & -1206.65478507998 & 0.34293298910395 \tabularnewline
95 & 7050.7 & 8781.12500126202 & 24.7937577026247 & -1692.74086988576 & -0.841595264165485 \tabularnewline
96 & 10190 & 8944.56824765081 & 25.9403485283853 & 1206.62692449514 & 0.866523963391414 \tabularnewline
97 & 10071.3 & 8928.25542170849 & 25.5960370894004 & 1154.87359303947 & -0.264122300754566 \tabularnewline
98 & 6765.7 & 8897.21221886591 & 25.1392407978932 & -2115.65384458704 & -0.354073059870018 \tabularnewline
99 & 6480.5 & 8823.89964667535 & 24.3497827856601 & -2315.83442894479 & -0.615445703046741 \tabularnewline
100 & 14038 & 8817.94066574413 & 24.10728156043 & 5228.54476456304 & -0.189456305048162 \tabularnewline
101 & 6356 & 8682.77599735774 & 22.8335783280938 & -2282.1881483422 & -0.995554089352878 \tabularnewline
102 & 10338.9 & 8510.5155153143 & 21.2747321238454 & 1883.00106035081 & -1.21950791969004 \tabularnewline
103 & 7859.3 & 8684.16318730926 & 22.4886546641736 & -867.52500711252 & 0.952584453299516 \tabularnewline
104 & 7642.6 & 8727.02555203751 & 22.6499887950277 & -1090.13116312687 & 0.127396832559974 \tabularnewline
105 & 10935 & 8914.21845530848 & 23.940883994312 & 1974.68699906632 & 1.02916862222599 \tabularnewline
106 & 7806.5 & 8989.68878128297 & 24.3403634921601 & -1197.62927912862 & 0.322396836152466 \tabularnewline
107 & 7309.5 & 9038.96103854614 & 24.5311026919067 & -1736.4503528676 & 0.156030914007308 \tabularnewline
108 & 10363.6 & 9068.6457051266 & 24.5700172420911 & 1293.50913115447 & 0.0322598033844214 \tabularnewline
109 & 10403.1 & 9101.36907201154 & 24.6308768914283 & 1299.4440588914 & 0.0510458066096521 \tabularnewline
110 & 6274.7 & 8925.52010776627 & 23.147987942147 & -2594.58146359306 & -1.25526636568192 \tabularnewline
111 & 7212.7 & 8992.89102639112 & 23.4729817682109 & -1792.59725825915 & 0.276905716804319 \tabularnewline
112 & 13835.1 & 8899.22515806082 & 22.6158336705414 & 4968.7376128476 & -0.733490109787603 \tabularnewline
113 & 6218.4 & 8776.10485522077 & 21.5527576121345 & -2516.81832274568 & -0.912582813039693 \tabularnewline
114 & 12087.8 & 9118.8109927715 & 23.8881523704155 & 2878.88395702554 & 2.01114343098727 \tabularnewline
115 & 7905 & 9182.09468781512 & 24.1734524789543 & -1288.14897200341 & 0.246730560599033 \tabularnewline
116 & 7810.1 & 9182.41565232503 & 24.0017170102804 & -1365.6215920275 & -0.149408278723293 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300770&T=1

[TABLE]
[ROW][C]Structural Time Series Model -- Interpolation[/C][/ROW]
[ROW][C]t[/C][C]Observed[/C][C]Level[/C][C]Slope[/C][C]Seasonal[/C][C]Stand. Residuals[/C][/ROW]
[ROW][C]1[/C][C]5750.5[/C][C]5750.5[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]3881.6[/C][C]5464.28960633214[/C][C]23.8426596279966[/C][C]-1398.32202025439[/C][C]-3.33243717868831[/C][/ROW]
[ROW][C]3[/C][C]4350.4[/C][C]4743.81291299604[/C][C]-39.8310874677189[/C][C]-254.46869736293[/C][C]-3.04889254756641[/C][/ROW]
[ROW][C]4[/C][C]6623.4[/C][C]5128.69656573364[/C][C]0.109338377283102[/C][C]1423.75134112351[/C][C]1.704329071051[/C][/ROW]
[ROW][C]5[/C][C]3375.5[/C][C]4721.58300937594[/C][C]-34.1435144277354[/C][C]-1262.6976416093[/C][C]-1.94079566154076[/C][/ROW]
[ROW][C]6[/C][C]6651.7[/C][C]5108.86884159539[/C][C]-4.95821093426105[/C][C]1440.98979020959[/C][C]2.28082001686127[/C][/ROW]
[ROW][C]7[/C][C]4394.8[/C][C]5053.23729861522[/C][C]-7.77826713745622[/C][C]-644.999964862851[/C][C]-0.293670259641538[/C][/ROW]
[ROW][C]8[/C][C]4968.3[/C][C]5011.52510131737[/C][C]-9.32550845682767[/C][C]-33.7948331816556[/C][C]-0.203320407354242[/C][/ROW]
[ROW][C]9[/C][C]6355.6[/C][C]5327.74882386198[/C][C]3.37969416930951[/C][C]935.289369580181[/C][C]1.98136444152188[/C][/ROW]
[ROW][C]10[/C][C]4515.7[/C][C]5242.42176255613[/C][C]0.270883195761725[/C][C]-701.224183707578[/C][C]-0.543766366007615[/C][/ROW]
[ROW][C]11[/C][C]4620[/C][C]5058.1610551105[/C][C]-5.76388284490977[/C][C]-384.854111324673[/C][C]-1.1346866063707[/C][/ROW]
[ROW][C]12[/C][C]5804.4[/C][C]5173.85787860249[/C][C]-1.96521210537288[/C][C]595.376250782072[/C][C]0.747822421933651[/C][/ROW]
[ROW][C]13[/C][C]6254.4[/C][C]5333.87627131075[/C][C]-3.47164536622128[/C][C]870.445636591597[/C][C]1.08111130664851[/C][/ROW]
[ROW][C]14[/C][C]4788.6[/C][C]5483.12814708268[/C][C]-3.60994909554024[/C][C]-740.649070231072[/C][C]0.996497162620275[/C][/ROW]
[ROW][C]15[/C][C]4446.4[/C][C]5405.18979727494[/C][C]-5.03712454998382[/C][C]-938.585453554262[/C][C]-0.443056284846236[/C][/ROW]
[ROW][C]16[/C][C]8018[/C][C]5646.46358179965[/C][C]3.03466526847427[/C][C]2309.79589643365[/C][C]1.38356007694689[/C][/ROW]
[ROW][C]17[/C][C]3745.9[/C][C]5640.76464125973[/C][C]2.6991075923658[/C][C]-1892.7150842406[/C][C]-0.048776894128424[/C][/ROW]
[ROW][C]18[/C][C]6928.2[/C][C]5600.23312976121[/C][C]1.02868698469251[/C][C]1338.84374724895[/C][C]-0.247155706087368[/C][/ROW]
[ROW][C]19[/C][C]5201.7[/C][C]5664.57460128935[/C][C]3.30054814745545[/C][C]-479.332161977413[/C][C]0.372360733913274[/C][/ROW]
[ROW][C]20[/C][C]5520.9[/C][C]5702.79556447865[/C][C]4.41552378117049[/C][C]-191.231555226633[/C][C]0.210054858529609[/C][/ROW]
[ROW][C]21[/C][C]6801.9[/C][C]5727.19306012616[/C][C]4.9700552131354[/C][C]1069.2563861177[/C][C]0.122017043638817[/C][/ROW]
[ROW][C]22[/C][C]5225.1[/C][C]5768.78901653644[/C][C]5.83569515365563[/C][C]-553.813913953797[/C][C]0.225709594015564[/C][/ROW]
[ROW][C]23[/C][C]5149.4[/C][C]5773.40385473102[/C][C]5.81197761619201[/C][C]-623.663248674601[/C][C]-0.00756648288918121[/C][/ROW]
[ROW][C]24[/C][C]6240.4[/C][C]5794.42895371557[/C][C]6.03800976294099[/C][C]441.693240832841[/C][C]0.0947624107147692[/C][/ROW]
[ROW][C]25[/C][C]7045.4[/C][C]5927.35445975868[/C][C]7.29828244152839[/C][C]1082.02536531161[/C][C]0.796448813911921[/C][/ROW]
[ROW][C]26[/C][C]5402.1[/C][C]6038.00108793726[/C][C]8.37650259042233[/C][C]-665.023346698549[/C][C]0.644171196733368[/C][/ROW]
[ROW][C]27[/C][C]4960.6[/C][C]6091.63215065235[/C][C]9.04607989433945[/C][C]-1143.46922965721[/C][C]0.276164661623212[/C][/ROW]
[ROW][C]28[/C][C]9459.3[/C][C]6367.61782064797[/C][C]14.3241105768914[/C][C]3020.2749416862[/C][C]1.59574821644595[/C][/ROW]
[ROW][C]29[/C][C]3979.4[/C][C]6344.05799150241[/C][C]13.4403942167806[/C][C]-2354.67145968112[/C][C]-0.224457659581819[/C][/ROW]
[ROW][C]30[/C][C]7215.1[/C][C]6246.1402053935[/C][C]10.6705298959909[/C][C]998.324810524603[/C][C]-0.661932305988783[/C][/ROW]
[ROW][C]31[/C][C]5797[/C][C]6237.27493546811[/C][C]10.1892930303027[/C][C]-435.071951558075[/C][C]-0.117281843415029[/C][/ROW]
[ROW][C]32[/C][C]5577.6[/C][C]6136.60012048363[/C][C]7.62652391224763[/C][C]-529.087789585133[/C][C]-0.673006443335847[/C][/ROW]
[ROW][C]33[/C][C]7380.8[/C][C]6160.35015869417[/C][C]7.96247380179419[/C][C]1216.04739741458[/C][C]0.0987945814906518[/C][/ROW]
[ROW][C]34[/C][C]5788.6[/C][C]6225.35220622039[/C][C]9.00105903224606[/C][C]-452.472636509882[/C][C]0.351864762307665[/C][/ROW]
[ROW][C]35[/C][C]5116.3[/C][C]6161.70242608522[/C][C]7.86973320065124[/C][C]-1025.24387210588[/C][C]-0.450211695277519[/C][/ROW]
[ROW][C]36[/C][C]6819.3[/C][C]6237.52408154579[/C][C]8.7728157010898[/C][C]562.837477765594[/C][C]0.422281837686726[/C][/ROW]
[ROW][C]37[/C][C]7671[/C][C]6383.37692247328[/C][C]10.398145537596[/C][C]1249.36231535887[/C][C]0.85234909091667[/C][/ROW]
[ROW][C]38[/C][C]5337[/C][C]6375.99493004258[/C][C]10.1863037968915[/C][C]-1034.05117032243[/C][C]-0.110148520106426[/C][/ROW]
[ROW][C]39[/C][C]4955.7[/C][C]6349.94080730143[/C][C]9.70521829884455[/C][C]-1384.25277062707[/C][C]-0.222844441414343[/C][/ROW]
[ROW][C]40[/C][C]9143.8[/C][C]6269.7162072097[/C][C]8.33924001017342[/C][C]2898.61914519571[/C][C]-0.548685185990705[/C][/ROW]
[ROW][C]41[/C][C]4624.6[/C][C]6388.21468441873[/C][C]10.2000187876784[/C][C]-1793.45992256929[/C][C]0.669032913954439[/C][/ROW]
[ROW][C]42[/C][C]7702.4[/C][C]6491.71625372694[/C][C]11.8705364907788[/C][C]1185.44785855101[/C][C]0.566613659138658[/C][/ROW]
[ROW][C]43[/C][C]6297.4[/C][C]6569.38287304915[/C][C]13.0597728471358[/C][C]-289.833161333757[/C][C]0.400959777122986[/C][/ROW]
[ROW][C]44[/C][C]5652.3[/C][C]6515.79271204257[/C][C]11.8945439194009[/C][C]-845.308310494593[/C][C]-0.40822292114368[/C][/ROW]
[ROW][C]45[/C][C]7801.3[/C][C]6529.88424750357[/C][C]11.9304407480676[/C][C]1270.81258544028[/C][C]0.0135242794401916[/C][/ROW]
[ROW][C]46[/C][C]5901.2[/C][C]6498.9046730219[/C][C]11.2908150303739[/C][C]-585.858638037861[/C][C]-0.265245230197378[/C][/ROW]
[ROW][C]47[/C][C]5296.7[/C][C]6477.61379700375[/C][C]10.8522759271975[/C][C]-1171.88095809504[/C][C]-0.202000293354314[/C][/ROW]
[ROW][C]48[/C][C]7803.5[/C][C]6674.06193538495[/C][C]13.1291539781352[/C][C]1077.85050955055[/C][C]1.15255525815789[/C][/ROW]
[ROW][C]49[/C][C]8177.1[/C][C]6793.58752172243[/C][C]14.3596227678922[/C][C]1353.92146477844[/C][C]0.660771131058715[/C][/ROW]
[ROW][C]50[/C][C]5546.3[/C][C]6781.07485687944[/C][C]14.0509865977836[/C][C]-1227.31393718237[/C][C]-0.166603898424956[/C][/ROW]
[ROW][C]51[/C][C]5651.5[/C][C]6843.92657373036[/C][C]14.6345228973963[/C][C]-1205.92695232884[/C][C]0.301631585375993[/C][/ROW]
[ROW][C]52[/C][C]12289.7[/C][C]7498.04381649378[/C][C]22.77772850017[/C][C]4615.4896032558[/C][C]3.93973072344579[/C][/ROW]
[ROW][C]53[/C][C]4769.1[/C][C]7514.35266352218[/C][C]22.6903304284237[/C][C]-2743.47628779048[/C][C]-0.0397674809978791[/C][/ROW]
[ROW][C]54[/C][C]8294.5[/C][C]7436.47488581997[/C][C]21.2784403470186[/C][C]885.609630346779[/C][C]-0.61801082622338[/C][/ROW]
[ROW][C]55[/C][C]6422.3[/C][C]7238.86701536224[/C][C]18.173374344508[/C][C]-756.469545756744[/C][C]-1.34684466936696[/C][/ROW]
[ROW][C]56[/C][C]6021.3[/C][C]7099.83801752822[/C][C]15.9828675246276[/C][C]-1035.26746602869[/C][C]-0.969549323754456[/C][/ROW]
[ROW][C]57[/C][C]9241[/C][C]7271.15191856349[/C][C]18.0583369744899[/C][C]1926.95625831622[/C][C]0.96053388616609[/C][/ROW]
[ROW][C]58[/C][C]6229.5[/C][C]7251.24244251787[/C][C]17.5798512290171[/C][C]-1011.22575903025[/C][C]-0.23534613389551[/C][/ROW]
[ROW][C]59[/C][C]5691.5[/C][C]7216.28058656058[/C][C]16.9590185230444[/C][C]-1510.19048334716[/C][C]-0.326274816790374[/C][/ROW]
[ROW][C]60[/C][C]8546.9[/C][C]7308.59646601877[/C][C]17.7996601161824[/C][C]1217.34446445678[/C][C]0.468443331268759[/C][/ROW]
[ROW][C]61[/C][C]8174[/C][C]7266.04448421622[/C][C]17.1515970259147[/C][C]924.749423440755[/C][C]-0.375228137910564[/C][/ROW]
[ROW][C]62[/C][C]6027.9[/C][C]7326.94225627351[/C][C]17.6160371745024[/C][C]-1311.20758753295[/C][C]0.27179650348681[/C][/ROW]
[ROW][C]63[/C][C]6566.4[/C][C]7560.42905977362[/C][C]19.939084094032[/C][C]-1053.96977516126[/C][C]1.33947127404386[/C][/ROW]
[ROW][C]64[/C][C]10926.6[/C][C]7324.52904454153[/C][C]17.1066699076153[/C][C]3672.98070253961[/C][C]-1.58523092638485[/C][/ROW]
[ROW][C]65[/C][C]5963.5[/C][C]7532.54293971114[/C][C]19.2853195035828[/C][C]-1621.87864880179[/C][C]1.18171971054493[/C][/ROW]
[ROW][C]66[/C][C]9914[/C][C]7905.97056456192[/C][C]23.4148476957348[/C][C]1910.07643289383[/C][C]2.1916163045666[/C][/ROW]
[ROW][C]67[/C][C]6063.1[/C][C]7764.41883802262[/C][C]21.4789367445365[/C][C]-1655.67283155796[/C][C]-1.02145994109035[/C][/ROW]
[ROW][C]68[/C][C]6939[/C][C]7800.17721691398[/C][C]21.6447119273098[/C][C]-865.133055929389[/C][C]0.0885170855019806[/C][/ROW]
[ROW][C]69[/C][C]9774.2[/C][C]7823.64852975452[/C][C]21.6653689974197[/C][C]1950.04460950966[/C][C]0.0113387078571917[/C][/ROW]
[ROW][C]70[/C][C]6358.2[/C][C]7733.84192250155[/C][C]20.4505229816177[/C][C]-1344.6564017819[/C][C]-0.692904604047932[/C][/ROW]
[ROW][C]71[/C][C]6432[/C][C]7778.15891487566[/C][C]20.7001715335577[/C][C]-1352.80281363485[/C][C]0.148515160623302[/C][/ROW]
[ROW][C]72[/C][C]9365.5[/C][C]7890.81448113615[/C][C]21.6268274403817[/C][C]1449.06123171227[/C][C]0.572610759421909[/C][/ROW]
[ROW][C]73[/C][C]8930.6[/C][C]7988.53040393289[/C][C]22.3733940999156[/C][C]920.857517379644[/C][C]0.473915079842952[/C][/ROW]
[ROW][C]74[/C][C]6189.7[/C][C]7947.60660206507[/C][C]21.7598853442105[/C][C]-1740.26334972303[/C][C]-0.39415446203523[/C][/ROW]
[ROW][C]75[/C][C]6820.5[/C][C]7916.0601838549[/C][C]21.2423389804241[/C][C]-1080.71057907434[/C][C]-0.331766342237175[/C][/ROW]
[ROW][C]76[/C][C]12889.2[/C][C]8280.1665241539[/C][C]24.608100192247[/C][C]4513.59505268094[/C][C]2.1326204202506[/C][/ROW]
[ROW][C]77[/C][C]7102.5[/C][C]8555.54131571227[/C][C]27.1039107351765[/C][C]-1522.79892535751[/C][C]1.55908844012667[/C][/ROW]
[ROW][C]78[/C][C]10824.9[/C][C]8704.80696557474[/C][C]28.3322208355277[/C][C]2086.11974930172[/C][C]0.759435266545414[/C][/ROW]
[ROW][C]79[/C][C]6619.1[/C][C]8661.42571714366[/C][C]27.6095694171632[/C][C]-2022.37822200243[/C][C]-0.445940382832619[/C][/ROW]
[ROW][C]80[/C][C]7613.6[/C][C]8610.35742421553[/C][C]26.8228553712089[/C][C]-974.859157949074[/C][C]-0.48953589062281[/C][/ROW]
[ROW][C]81[/C][C]9923.3[/C][C]8448.60862546237[/C][C]24.969400877616[/C][C]1527.22311034586[/C][C]-1.17419221368007[/C][/ROW]
[ROW][C]82[/C][C]6842.6[/C][C]8368.40247196968[/C][C]23.9601779268851[/C][C]-1496.47434886149[/C][C]-0.655415111178365[/C][/ROW]
[ROW][C]83[/C][C]7121.3[/C][C]8406.56408964495[/C][C]24.0928373521014[/C][C]-1289.22764538301[/C][C]0.0885572156908016[/C][/ROW]
[ROW][C]84[/C][C]8913[/C][C]8231.13925673977[/C][C]22.2753954017265[/C][C]737.581640562447[/C][C]-1.24472806639127[/C][/ROW]
[ROW][C]85[/C][C]9952.4[/C][C]8382.90714608874[/C][C]23.4321972091317[/C][C]1533.31568812399[/C][C]0.808039472259728[/C][/ROW]
[ROW][C]86[/C][C]6514.1[/C][C]8454.56489487179[/C][C]23.8580749448853[/C][C]-1953.93863401901[/C][C]0.300925618557066[/C][/ROW]
[ROW][C]87[/C][C]6480.5[/C][C]8372.09886911287[/C][C]22.9224840380349[/C][C]-1861.89850588218[/C][C]-0.663340867851497[/C][/ROW]
[ROW][C]88[/C][C]13960.4[/C][C]8653.54594664554[/C][C]25.2023760017644[/C][C]5234.65951287805[/C][C]1.61252555201338[/C][/ROW]
[ROW][C]89[/C][C]6918.6[/C][C]8706.79168614598[/C][C]25.4508081128952[/C][C]-1796.02098128249[/C][C]0.174888890538289[/C][/ROW]
[ROW][C]90[/C][C]11060.1[/C][C]8759.5063969916[/C][C]25.6931140170421[/C][C]2292.98260176731[/C][C]0.170025329969872[/C][/ROW]
[ROW][C]91[/C][C]7232.9[/C][C]8859.87852003161[/C][C]26.3562117385779[/C][C]-1647.82881163288[/C][C]0.465799255020648[/C][/ROW]
[ROW][C]92[/C][C]7846.2[/C][C]8845.40298808895[/C][C]25.9960138411509[/C][C]-987.798735894764[/C][C]-0.254767823803281[/C][/ROW]
[ROW][C]93[/C][C]10293.9[/C][C]8809.53219437266[/C][C]25.4568352408144[/C][C]1501.65600220399[/C][C]-0.386185368067341[/C][/ROW]
[ROW][C]94[/C][C]7698.6[/C][C]8889.90116664344[/C][C]25.9276246705559[/C][C]-1206.65478507998[/C][C]0.34293298910395[/C][/ROW]
[ROW][C]95[/C][C]7050.7[/C][C]8781.12500126202[/C][C]24.7937577026247[/C][C]-1692.74086988576[/C][C]-0.841595264165485[/C][/ROW]
[ROW][C]96[/C][C]10190[/C][C]8944.56824765081[/C][C]25.9403485283853[/C][C]1206.62692449514[/C][C]0.866523963391414[/C][/ROW]
[ROW][C]97[/C][C]10071.3[/C][C]8928.25542170849[/C][C]25.5960370894004[/C][C]1154.87359303947[/C][C]-0.264122300754566[/C][/ROW]
[ROW][C]98[/C][C]6765.7[/C][C]8897.21221886591[/C][C]25.1392407978932[/C][C]-2115.65384458704[/C][C]-0.354073059870018[/C][/ROW]
[ROW][C]99[/C][C]6480.5[/C][C]8823.89964667535[/C][C]24.3497827856601[/C][C]-2315.83442894479[/C][C]-0.615445703046741[/C][/ROW]
[ROW][C]100[/C][C]14038[/C][C]8817.94066574413[/C][C]24.10728156043[/C][C]5228.54476456304[/C][C]-0.189456305048162[/C][/ROW]
[ROW][C]101[/C][C]6356[/C][C]8682.77599735774[/C][C]22.8335783280938[/C][C]-2282.1881483422[/C][C]-0.995554089352878[/C][/ROW]
[ROW][C]102[/C][C]10338.9[/C][C]8510.5155153143[/C][C]21.2747321238454[/C][C]1883.00106035081[/C][C]-1.21950791969004[/C][/ROW]
[ROW][C]103[/C][C]7859.3[/C][C]8684.16318730926[/C][C]22.4886546641736[/C][C]-867.52500711252[/C][C]0.952584453299516[/C][/ROW]
[ROW][C]104[/C][C]7642.6[/C][C]8727.02555203751[/C][C]22.6499887950277[/C][C]-1090.13116312687[/C][C]0.127396832559974[/C][/ROW]
[ROW][C]105[/C][C]10935[/C][C]8914.21845530848[/C][C]23.940883994312[/C][C]1974.68699906632[/C][C]1.02916862222599[/C][/ROW]
[ROW][C]106[/C][C]7806.5[/C][C]8989.68878128297[/C][C]24.3403634921601[/C][C]-1197.62927912862[/C][C]0.322396836152466[/C][/ROW]
[ROW][C]107[/C][C]7309.5[/C][C]9038.96103854614[/C][C]24.5311026919067[/C][C]-1736.4503528676[/C][C]0.156030914007308[/C][/ROW]
[ROW][C]108[/C][C]10363.6[/C][C]9068.6457051266[/C][C]24.5700172420911[/C][C]1293.50913115447[/C][C]0.0322598033844214[/C][/ROW]
[ROW][C]109[/C][C]10403.1[/C][C]9101.36907201154[/C][C]24.6308768914283[/C][C]1299.4440588914[/C][C]0.0510458066096521[/C][/ROW]
[ROW][C]110[/C][C]6274.7[/C][C]8925.52010776627[/C][C]23.147987942147[/C][C]-2594.58146359306[/C][C]-1.25526636568192[/C][/ROW]
[ROW][C]111[/C][C]7212.7[/C][C]8992.89102639112[/C][C]23.4729817682109[/C][C]-1792.59725825915[/C][C]0.276905716804319[/C][/ROW]
[ROW][C]112[/C][C]13835.1[/C][C]8899.22515806082[/C][C]22.6158336705414[/C][C]4968.7376128476[/C][C]-0.733490109787603[/C][/ROW]
[ROW][C]113[/C][C]6218.4[/C][C]8776.10485522077[/C][C]21.5527576121345[/C][C]-2516.81832274568[/C][C]-0.912582813039693[/C][/ROW]
[ROW][C]114[/C][C]12087.8[/C][C]9118.8109927715[/C][C]23.8881523704155[/C][C]2878.88395702554[/C][C]2.01114343098727[/C][/ROW]
[ROW][C]115[/C][C]7905[/C][C]9182.09468781512[/C][C]24.1734524789543[/C][C]-1288.14897200341[/C][C]0.246730560599033[/C][/ROW]
[ROW][C]116[/C][C]7810.1[/C][C]9182.41565232503[/C][C]24.0017170102804[/C][C]-1365.6215920275[/C][C]-0.149408278723293[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=300770&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300770&T=1

As an alternative you can also use a QR Code:  

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

Structural Time Series Model -- Interpolation
tObservedLevelSlopeSeasonalStand. Residuals
15750.55750.5000
23881.65464.2896063321423.8426596279966-1398.32202025439-3.33243717868831
34350.44743.81291299604-39.8310874677189-254.46869736293-3.04889254756641
46623.45128.696565733640.1093383772831021423.751341123511.704329071051
53375.54721.58300937594-34.1435144277354-1262.6976416093-1.94079566154076
66651.75108.86884159539-4.958210934261051440.989790209592.28082001686127
74394.85053.23729861522-7.77826713745622-644.999964862851-0.293670259641538
84968.35011.52510131737-9.32550845682767-33.7948331816556-0.203320407354242
96355.65327.748823861983.37969416930951935.2893695801811.98136444152188
104515.75242.421762556130.270883195761725-701.224183707578-0.543766366007615
1146205058.1610551105-5.76388284490977-384.854111324673-1.1346866063707
125804.45173.85787860249-1.96521210537288595.3762507820720.747822421933651
136254.45333.87627131075-3.47164536622128870.4456365915971.08111130664851
144788.65483.12814708268-3.60994909554024-740.6490702310720.996497162620275
154446.45405.18979727494-5.03712454998382-938.585453554262-0.443056284846236
1680185646.463581799653.034665268474272309.795896433651.38356007694689
173745.95640.764641259732.6991075923658-1892.7150842406-0.048776894128424
186928.25600.233129761211.028686984692511338.84374724895-0.247155706087368
195201.75664.574601289353.30054814745545-479.3321619774130.372360733913274
205520.95702.795564478654.41552378117049-191.2315552266330.210054858529609
216801.95727.193060126164.97005521313541069.25638611770.122017043638817
225225.15768.789016536445.83569515365563-553.8139139537970.225709594015564
235149.45773.403854731025.81197761619201-623.663248674601-0.00756648288918121
246240.45794.428953715576.03800976294099441.6932408328410.0947624107147692
257045.45927.354459758687.298282441528391082.025365311610.796448813911921
265402.16038.001087937268.37650259042233-665.0233466985490.644171196733368
274960.66091.632150652359.04607989433945-1143.469229657210.276164661623212
289459.36367.6178206479714.32411057689143020.27494168621.59574821644595
293979.46344.0579915024113.4403942167806-2354.67145968112-0.224457659581819
307215.16246.140205393510.6705298959909998.324810524603-0.661932305988783
3157976237.2749354681110.1892930303027-435.071951558075-0.117281843415029
325577.66136.600120483637.62652391224763-529.087789585133-0.673006443335847
337380.86160.350158694177.962473801794191216.047397414580.0987945814906518
345788.66225.352206220399.00105903224606-452.4726365098820.351864762307665
355116.36161.702426085227.86973320065124-1025.24387210588-0.450211695277519
366819.36237.524081545798.7728157010898562.8374777655940.422281837686726
3776716383.3769224732810.3981455375961249.362315358870.85234909091667
3853376375.9949300425810.1863037968915-1034.05117032243-0.110148520106426
394955.76349.940807301439.70521829884455-1384.25277062707-0.222844441414343
409143.86269.71620720978.339240010173422898.61914519571-0.548685185990705
414624.66388.2146844187310.2000187876784-1793.459922569290.669032913954439
427702.46491.7162537269411.87053649077881185.447858551010.566613659138658
436297.46569.3828730491513.0597728471358-289.8331613337570.400959777122986
445652.36515.7927120425711.8945439194009-845.308310494593-0.40822292114368
457801.36529.8842475035711.93044074806761270.812585440280.0135242794401916
465901.26498.904673021911.2908150303739-585.858638037861-0.265245230197378
475296.76477.6137970037510.8522759271975-1171.88095809504-0.202000293354314
487803.56674.0619353849513.12915397813521077.850509550551.15255525815789
498177.16793.5875217224314.35962276789221353.921464778440.660771131058715
505546.36781.0748568794414.0509865977836-1227.31393718237-0.166603898424956
515651.56843.9265737303614.6345228973963-1205.926952328840.301631585375993
5212289.77498.0438164937822.777728500174615.48960325583.93973072344579
534769.17514.3526635221822.6903304284237-2743.47628779048-0.0397674809978791
548294.57436.4748858199721.2784403470186885.609630346779-0.61801082622338
556422.37238.8670153622418.173374344508-756.469545756744-1.34684466936696
566021.37099.8380175282215.9828675246276-1035.26746602869-0.969549323754456
5792417271.1519185634918.05833697448991926.956258316220.96053388616609
586229.57251.2424425178717.5798512290171-1011.22575903025-0.23534613389551
595691.57216.2805865605816.9590185230444-1510.19048334716-0.326274816790374
608546.97308.5964660187717.79966011618241217.344464456780.468443331268759
6181747266.0444842162217.1515970259147924.749423440755-0.375228137910564
626027.97326.9422562735117.6160371745024-1311.207587532950.27179650348681
636566.47560.4290597736219.939084094032-1053.969775161261.33947127404386
6410926.67324.5290445415317.10666990761533672.98070253961-1.58523092638485
655963.57532.5429397111419.2853195035828-1621.878648801791.18171971054493
6699147905.9705645619223.41484769573481910.076432893832.1916163045666
676063.17764.4188380226221.4789367445365-1655.67283155796-1.02145994109035
6869397800.1772169139821.6447119273098-865.1330559293890.0885170855019806
699774.27823.6485297545221.66536899741971950.044609509660.0113387078571917
706358.27733.8419225015520.4505229816177-1344.6564017819-0.692904604047932
7164327778.1589148756620.7001715335577-1352.802813634850.148515160623302
729365.57890.8144811361521.62682744038171449.061231712270.572610759421909
738930.67988.5304039328922.3733940999156920.8575173796440.473915079842952
746189.77947.6066020650721.7598853442105-1740.26334972303-0.39415446203523
756820.57916.060183854921.2423389804241-1080.71057907434-0.331766342237175
7612889.28280.166524153924.6081001922474513.595052680942.1326204202506
777102.58555.5413157122727.1039107351765-1522.798925357511.55908844012667
7810824.98704.8069655747428.33222083552772086.119749301720.759435266545414
796619.18661.4257171436627.6095694171632-2022.37822200243-0.445940382832619
807613.68610.3574242155326.8228553712089-974.859157949074-0.48953589062281
819923.38448.6086254623724.9694008776161527.22311034586-1.17419221368007
826842.68368.4024719696823.9601779268851-1496.47434886149-0.655415111178365
837121.38406.5640896449524.0928373521014-1289.227645383010.0885572156908016
8489138231.1392567397722.2753954017265737.581640562447-1.24472806639127
859952.48382.9071460887423.43219720913171533.315688123990.808039472259728
866514.18454.5648948717923.8580749448853-1953.938634019010.300925618557066
876480.58372.0988691128722.9224840380349-1861.89850588218-0.663340867851497
8813960.48653.5459466455425.20237600176445234.659512878051.61252555201338
896918.68706.7916861459825.4508081128952-1796.020981282490.174888890538289
9011060.18759.506396991625.69311401704212292.982601767310.170025329969872
917232.98859.8785200316126.3562117385779-1647.828811632880.465799255020648
927846.28845.4029880889525.9960138411509-987.798735894764-0.254767823803281
9310293.98809.5321943726625.45683524081441501.65600220399-0.386185368067341
947698.68889.9011666434425.9276246705559-1206.654785079980.34293298910395
957050.78781.1250012620224.7937577026247-1692.74086988576-0.841595264165485
96101908944.5682476508125.94034852838531206.626924495140.866523963391414
9710071.38928.2554217084925.59603708940041154.87359303947-0.264122300754566
986765.78897.2122188659125.1392407978932-2115.65384458704-0.354073059870018
996480.58823.8996466753524.3497827856601-2315.83442894479-0.615445703046741
100140388817.9406657441324.107281560435228.54476456304-0.189456305048162
10163568682.7759973577422.8335783280938-2282.1881483422-0.995554089352878
10210338.98510.515515314321.27473212384541883.00106035081-1.21950791969004
1037859.38684.1631873092622.4886546641736-867.525007112520.952584453299516
1047642.68727.0255520375122.6499887950277-1090.131163126870.127396832559974
105109358914.2184553084823.9408839943121974.686999066321.02916862222599
1067806.58989.6887812829724.3403634921601-1197.629279128620.322396836152466
1077309.59038.9610385461424.5311026919067-1736.45035286760.156030914007308
10810363.69068.645705126624.57001724209111293.509131154470.0322598033844214
10910403.19101.3690720115424.63087689142831299.44405889140.0510458066096521
1106274.78925.5201077662723.147987942147-2594.58146359306-1.25526636568192
1117212.78992.8910263911223.4729817682109-1792.597258259150.276905716804319
11213835.18899.2251580608222.61583367054144968.7376128476-0.733490109787603
1136218.48776.1048552207721.5527576121345-2516.81832274568-0.912582813039693
11412087.89118.810992771523.88815237041552878.883957025542.01114343098727
11579059182.0946878151224.1734524789543-1288.148972003410.246730560599033
1167810.19182.4156523250324.0017170102804-1365.6215920275-0.149408278723293







Structural Time Series Model -- Extrapolation
tObservedLevelSeasonal
111192.72323642529233.29371111231959.42952531286
28074.446304780889267.21639416696-1192.77008938608
37610.571567060769301.13907722161-1690.56751016085
410708.69873193719335.061760276261373.63697166087
510831.9706618529368.984443330921462.98621852112
66860.192874435839402.90712638557-2542.71425194974
77711.483211473589436.82980944023-1725.34659796664
814438.47074941219470.752492494884967.71825691724
96754.069108612199504.67517554954-2750.60606693734
1012327.18219497379538.597858604192788.58433636949
118292.768190520129572.52054165884-1279.75235113873
128235.84478347139606.4432247135-1370.5984412422

\begin{tabular}{lllllllll}
\hline
Structural Time Series Model -- Extrapolation \tabularnewline
t & Observed & Level & Seasonal \tabularnewline
1 & 11192.7232364252 & 9233.2937111123 & 1959.42952531286 \tabularnewline
2 & 8074.44630478088 & 9267.21639416696 & -1192.77008938608 \tabularnewline
3 & 7610.57156706076 & 9301.13907722161 & -1690.56751016085 \tabularnewline
4 & 10708.6987319371 & 9335.06176027626 & 1373.63697166087 \tabularnewline
5 & 10831.970661852 & 9368.98444333092 & 1462.98621852112 \tabularnewline
6 & 6860.19287443583 & 9402.90712638557 & -2542.71425194974 \tabularnewline
7 & 7711.48321147358 & 9436.82980944023 & -1725.34659796664 \tabularnewline
8 & 14438.4707494121 & 9470.75249249488 & 4967.71825691724 \tabularnewline
9 & 6754.06910861219 & 9504.67517554954 & -2750.60606693734 \tabularnewline
10 & 12327.1821949737 & 9538.59785860419 & 2788.58433636949 \tabularnewline
11 & 8292.76819052012 & 9572.52054165884 & -1279.75235113873 \tabularnewline
12 & 8235.8447834713 & 9606.4432247135 & -1370.5984412422 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300770&T=2

[TABLE]
[ROW][C]Structural Time Series Model -- Extrapolation[/C][/ROW]
[ROW][C]t[/C][C]Observed[/C][C]Level[/C][C]Seasonal[/C][/ROW]
[ROW][C]1[/C][C]11192.7232364252[/C][C]9233.2937111123[/C][C]1959.42952531286[/C][/ROW]
[ROW][C]2[/C][C]8074.44630478088[/C][C]9267.21639416696[/C][C]-1192.77008938608[/C][/ROW]
[ROW][C]3[/C][C]7610.57156706076[/C][C]9301.13907722161[/C][C]-1690.56751016085[/C][/ROW]
[ROW][C]4[/C][C]10708.6987319371[/C][C]9335.06176027626[/C][C]1373.63697166087[/C][/ROW]
[ROW][C]5[/C][C]10831.970661852[/C][C]9368.98444333092[/C][C]1462.98621852112[/C][/ROW]
[ROW][C]6[/C][C]6860.19287443583[/C][C]9402.90712638557[/C][C]-2542.71425194974[/C][/ROW]
[ROW][C]7[/C][C]7711.48321147358[/C][C]9436.82980944023[/C][C]-1725.34659796664[/C][/ROW]
[ROW][C]8[/C][C]14438.4707494121[/C][C]9470.75249249488[/C][C]4967.71825691724[/C][/ROW]
[ROW][C]9[/C][C]6754.06910861219[/C][C]9504.67517554954[/C][C]-2750.60606693734[/C][/ROW]
[ROW][C]10[/C][C]12327.1821949737[/C][C]9538.59785860419[/C][C]2788.58433636949[/C][/ROW]
[ROW][C]11[/C][C]8292.76819052012[/C][C]9572.52054165884[/C][C]-1279.75235113873[/C][/ROW]
[ROW][C]12[/C][C]8235.8447834713[/C][C]9606.4432247135[/C][C]-1370.5984412422[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=300770&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300770&T=2

As an alternative you can also use a QR Code:  

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

Structural Time Series Model -- Extrapolation
tObservedLevelSeasonal
111192.72323642529233.29371111231959.42952531286
28074.446304780889267.21639416696-1192.77008938608
37610.571567060769301.13907722161-1690.56751016085
410708.69873193719335.061760276261373.63697166087
510831.9706618529368.984443330921462.98621852112
66860.192874435839402.90712638557-2542.71425194974
77711.483211473589436.82980944023-1725.34659796664
814438.47074941219470.752492494884967.71825691724
96754.069108612199504.67517554954-2750.60606693734
1012327.18219497379538.597858604192788.58433636949
118292.768190520129572.52054165884-1279.75235113873
128235.84478347139606.4432247135-1370.5984412422



Parameters (Session):
par1 = 12 ; par2 = periodic ; par3 = 0 ; par5 = 1 ; par7 = 1 ; par8 = FALSE ;
Parameters (R input):
par1 = 12 ; par2 = 12 ; par3 = BFGS ;
R code (references can be found in the software module):
require('stsm')
require('stsm.class')
require('KFKSDS')
par1 <- as.numeric(par1)
par2 <- as.numeric(par2)
nx <- length(x)
x <- ts(x,frequency=par1)
m <- StructTS(x,type='BSM')
print(m$coef)
print(m$fitted)
print(m$resid)
mylevel <- as.numeric(m$fitted[,'level'])
myslope <- as.numeric(m$fitted[,'slope'])
myseas <- as.numeric(m$fitted[,'sea'])
myresid <- as.numeric(m$resid)
myfit <- mylevel+myseas
mm <- stsm.model(model = 'BSM', y = x, transPars = 'StructTS')
fit2 <- stsmFit(mm, stsm.method = 'maxlik.td.optim', method = par3, KF.args = list(P0cov = TRUE))
(fit2.comps <- tsSmooth(fit2, P0cov = FALSE)$states)
m2 <- set.pars(mm, pmax(fit2$par, .Machine$double.eps))
(ss <- char2numeric(m2))
(pred <- predict(ss, x, n.ahead = par2))
mylagmax <- nx/2
bitmap(file='test2.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(x),lag.max = mylagmax,main='Observed')
acf(mylevel,na.action=na.pass,lag.max = mylagmax,main='Level')
acf(myseas,na.action=na.pass,lag.max = mylagmax,main='Seasonal')
acf(myresid,na.action=na.pass,lag.max = mylagmax,main='Standardized Residals')
par(op)
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
spectrum(as.numeric(x),main='Observed')
spectrum(mylevel,main='Level')
spectrum(myseas,main='Seasonal')
spectrum(myresid,main='Standardized Residals')
par(op)
dev.off()
bitmap(file='test4.png')
op <- par(mfrow = c(2,2))
cpgram(as.numeric(x),main='Observed')
cpgram(mylevel,main='Level')
cpgram(myseas,main='Seasonal')
cpgram(myresid,main='Standardized Residals')
par(op)
dev.off()
bitmap(file='test1.png')
plot(as.numeric(m$resid),main='Standardized Residuals',ylab='Residuals',xlab='time',type='b')
grid()
dev.off()
bitmap(file='test5.png')
op <- par(mfrow = c(2,2))
hist(m$resid,main='Residual Histogram')
plot(density(m$resid),main='Residual Kernel Density')
qqnorm(m$resid,main='Residual Normal QQ Plot')
qqline(m$resid)
plot(m$resid^2, myfit^2,main='Sq.Resid vs. Sq.Fit',xlab='Squared residuals',ylab='Squared Fit')
par(op)
dev.off()
bitmap(file='test6.png')
par(mfrow = c(3,1), mar = c(3,3,3,3))
plot(cbind(x, pred$pred), type = 'n', plot.type = 'single', ylab = '')
lines(x)
polygon(c(time(pred$pred), rev(time(pred$pred))), c(pred$pred + 2 * pred$se, rev(pred$pred)), col = 'gray85', border = NA)
polygon(c(time(pred$pred), rev(time(pred$pred))), c(pred$pred - 2 * pred$se, rev(pred$pred)), col = ' gray85', border = NA)
lines(pred$pred, col = 'blue', lwd = 1.5)
mtext(text = 'forecasts of the observed series', side = 3, adj = 0)
plot(cbind(x, pred$a[,1]), type = 'n', plot.type = 'single', ylab = '')
lines(x)
polygon(c(time(pred$a[,1]), rev(time(pred$a[,1]))), c(pred$a[,1] + 2 * sqrt(pred$P[,1]), rev(pred$a[,1])), col = 'gray85', border = NA)
polygon(c(time(pred$a[,1]), rev(time(pred$a[,1]))), c(pred$a[,1] - 2 * sqrt(pred$P[,1]), rev(pred$a[,1])), col = ' gray85', border = NA)
lines(pred$a[,1], col = 'blue', lwd = 1.5)
mtext(text = 'forecasts of the level component', side = 3, adj = 0)
plot(cbind(fit2.comps[,3], pred$a[,3]), type = 'n', plot.type = 'single', ylab = '')
lines(fit2.comps[,3])
polygon(c(time(pred$a[,3]), rev(time(pred$a[,3]))), c(pred$a[,3] + 2 * sqrt(pred$P[,3]), rev(pred$a[,3])), col = 'gray85', border = NA)
polygon(c(time(pred$a[,3]), rev(time(pred$a[,3]))), c(pred$a[,3] - 2 * sqrt(pred$P[,3]), rev(pred$a[,3])), col = ' gray85', border = NA)
lines(pred$a[,3], col = 'blue', lwd = 1.5)
mtext(text = 'forecasts of the seasonal component', side = 3, adj = 0)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Structural Time Series Model -- Interpolation',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,'Level',header=TRUE)
a<-table.element(a,'Slope',header=TRUE)
a<-table.element(a,'Seasonal',header=TRUE)
a<-table.element(a,'Stand. Residuals',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,mylevel[i])
a<-table.element(a,myslope[i])
a<-table.element(a,myseas[i])
a<-table.element(a,myresid[i])
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,'Structural Time Series Model -- Extrapolation',4,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,'Level',header=TRUE)
a<-table.element(a,'Seasonal',header=TRUE)
a<-table.row.end(a)
for (i in 1:par2) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,pred$pred[i])
a<-table.element(a,pred$a[i,1])
a<-table.element(a,pred$a[i,3])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable1.tab')