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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 computationWed, 21 Dec 2016 14:31:25 +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/21/t14823271283nxx3kxmi3au5f0.htm/, Retrieved Mon, 06 May 2024 14:30:08 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=302272, Retrieved Mon, 06 May 2024 14:30:08 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact47
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Structural Time Series Models] [Structural Time S...] [2016-12-21 13:31:25] [c6c2c19ee5e10dd65276916b11a37d00] [Current]
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Dataseries X:
7020
6240
6040
6580
5900
6100
6460
8740
6940
7260
7380
7640
6640
5860
6160
5580
6140
5680
5740
6280
7060
6820
6560
6100
5860
5780
5220
5080
4840
5040
4420
5160
5240
5560
6120
5300
5540
4520
5160
4740
4480
4520
4640
4720
4700
5060
5500
4980
5100
4620
4960
4640
4660
4920
4540
4660
4840
5260
4640
5020
6420
4300
4680
4540
4240
4540
4740
5160
5200
5420
5140
4600
4800
4840
4720
4600
4340
4460
4360
4720
4920
5000
4680
4480
4840
4480
4500
4380
4460
4540
4920
4600
4880
5120
4560
4520
4600
4580
4360
4540
4420
4680
4760
4940
4780
5340
5140
4700




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time5 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 time5 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=302272&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]5 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=302272&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=302272&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 time5 seconds
R ServerBig Analytics Cloud Computing Center







Structural Time Series Model -- Interpolation
tObservedLevelSlopeSeasonalStand. Residuals
170207020000
262406464.35780284675-38.1601124391779-38.1601130598701-1.28802617036149
360406208.33164722956-45.8989178154825-45.8989178154826-0.697673257344664
465806446.5456227981-39.8144984910929-39.8144984910930.957766292580903
559006121.60225898855-44.3429438934786-44.3429438934786-0.972331698929766
661006118.19049645052-43.7832363132207-43.78323631322070.140041549192656
764606336.3395087364-40.4465907444735-40.44659074447330.897165932985659
887407811.49944049017-21.8187986803072-21.81879868030755.19336947850832
969407284.66393460493-27.8948021123799-27.89480211238-1.73077495580834
1072607275.75734690252-27.6698657905391-27.66986579053910.065080576973106
1173807345.44521623474-26.5316297279372-26.53162972793720.333699096494873
1276407530.99790748206-24.0820580664299-24.08205806642990.726950041228354
1366407055.0910539836810.5138768579376-115.652644568871-1.96757994567702
1458606255.96576795856-15.5070968520793-15.5070992729179-2.29896302290227
1561606200.17687600807-16.1684257447064-16.1684257447065-0.133464924853765
1655805823.62697319315-19.7615430013027-19.7615430013028-1.22606454865763
1761406021.59385386525-18.1390085345841-18.13900853458420.745057877479128
1856805816.75490678349-19.3454145166446-19.3454145166446-0.63990648670683
1957405774.13608449014-19.4864454949716-19.4864454949717-0.07981074392943
2062806087.76787162487-17.5262508020748-17.52625080207531.14257079860844
2170606686.10308125677-13.9564244118301-13.95642441183022.11251652528706
2268206771.07902404362-13.3883078069602-13.38830780696030.339366514741767
2365606645.00497623733-14.0308142910888-14.0308142910888-0.386550183308524
2461006314.9024028553-15.8217952876932-15.8217952876932-1.0842419238666
2558606000.13833797739-4.8382625815105953.2208905484413-1.16371213297474
2657805859.24021866117-7.70561004211036-7.70561248050005-0.414700909872805
2752205466.29297130761-11.8181400949612-11.8181400949612-1.29262079150202
2850805232.19017058017-13.2618858989966-13.2618858989966-0.75863596191638
2948404995.10568540044-14.3512237797033-14.3512237797034-0.766767777795762
3050405025.78918895178-14.1607303218547-14.16073032185470.154440451022111
3144204658.29690826655-15.5653108174417-15.5653108174419-1.21211832507075
3251604968.74603313676-14.3042545955658-14.30425459556621.11854514018716
3352405137.91188094643-13.6037798390564-13.60377983905650.629510209250534
3455605399.20897236522-12.5619626018271-12.56196260182710.943239612555845
3561205843.03567719695-10.8412710730054-10.84127107300551.56597387944833
3653005513.20258364284-12.0387808289495-12.0387808289496-1.09453878375076
3755405452.10322958586-10.8530146036748119.383161897064-0.183470955655973
3845204860.89017749302-19.951267289859-19.9512698222804-1.82690886524917
3951605049.86567562017-18.2988860442961-18.29888604429610.705239575545227
4047404864.08823938523-19.1055063272901-19.1055063272901-0.572457818939597
4144804633.21930452428-19.8707052796761-19.8707052796762-0.725847616054297
4245204568.37178994787-20.0121130453065-20.0121130453065-0.154283410677461
4346404616.69957278105-19.8099777714273-19.80997777142750.234485177445895
4447204684.36635995284-19.5579620766671-19.55796207666750.300174521908151
4547004698.31862055389-19.4625800553321-19.46258005533220.114993616923593
4650604924.05282192282-18.7691354099238-18.76913540992380.841428684845084
4755005280.77665564026-17.7116667696044-17.71166676960451.28856696974062
4849805100.65110283798-18.1675283703603-18.1675283703604-0.55735209583307
4951004983.25334202943-16.3806212092065180.186836267616-0.363493965341579
5046204757.91384167302-18.9885427110585-18.9885461481432-0.670051062988554
5149604886.69381920642-18.060374838117-18.0603748381170.500549121215962
5246404739.58644097601-18.5542475056031-18.5542475056031-0.441489575260553
5346604695.02116518328-18.6289876970905-18.6289876970905-0.0891846925830065
5449204836.94215987807-18.2273299553276-18.22732995532760.550820378566802
5545404659.24346175821-18.6028896952303-18.6028896952305-0.547230423161581
5646604663.8809033366-18.5495484895577-18.54954848955810.0797556763650534
5748404775.86189541337-18.2533797465237-18.25337974652370.447964434421138
5852605076.34320036048-17.5344047489273-17.53440474892731.09386954546927
5946404813.15152319625-18.086520938413-18.0865209384131-0.843078198214569
6050204943.84124115668-17.7530754260436-17.75307542604360.510590545233267
6164205649.2738720199-28.1303907967467309.4343026766932.61589617196294
6243004808.01349185711-36.5599900761125-36.5599958497264-2.63882829497988
6346804737.69107910849-36.7358642116038-36.7358642116039-0.114629608350854
6445404624.83192302645-36.9775544361701-36.9775544361698-0.260582750775168
6542404397.47263955611-37.4316057656473-37.4316057656475-0.652903913095338
6645404493.15182519287-37.1550820871169-37.15508208711690.456729072086291
6747404652.63788647187-36.7703835310058-36.7703835310060.67482721545781
6851604971.5425681142-36.0919708761266-36.09197087612691.22066912225121
6952005119.52656543653-35.7447456517873-35.74474565178720.631759309984693
7054205311.52625389541-35.3174929857103-35.31749298571030.781639111538318
7151405214.43529723278-35.4330030359797-35.4330030359799-0.212012813156168
7246004846.18665435095-36.0538371771098-36.0538371771097-1.1422591349224
7348004580.09574235348-33.310282272548366.413110788255-0.82503548307022
7448404751.3436187359-31.4967895193491-31.49679483613190.669446652184978
7547204739.30233223159-31.4102182488152-31.41021824881530.0661623600688895
7646004661.02426210474-31.5373594502933-31.537359450293-0.160503364948946
7743404471.50688847362-31.8593917651721-31.8593917651723-0.541864650310062
7844604471.6203756846-31.8026041812776-31.80260418127760.109713363460499
7943604410.41584365841-31.8517968104538-31.8517968104541-0.100905721694309
8047204607.1431355376-31.478825005581-31.47882500558130.784510889640913
8149204805.78990203806-31.1073779707467-31.10737797074660.789834207927283
8250004931.7011670427-30.8552484042621-30.85524840426210.538921608983422
8346804784.50740027786-31.0414974144342-31.0414974144344-0.399299980749688
8444804605.0201074088-31.2786396793782-31.2786396793782-0.509500114383377
8548404529.24104921611-30.8245705180458339.070281055657-0.158627451284821
8644804506.16774294688-30.7645457806675-30.76455111973160.0255253099975585
8745004509.42009180072-30.6324406452588-30.6324406452590.115821171283308
8843804437.02321794415-30.7313394831157-30.7313394831154-0.143070660292709
8944604458.00914521115-30.6392910219441-30.63929102194440.177407703964461
9045404515.10942527792-30.5031930769149-30.50319307691480.301090790360015
9149204769.91738394353-30.086207435666-30.08620743566630.979208110067485
9246004672.6249635946-30.1820188858664-30.1820188858668-0.230666914230758
9348804806.40195950585-29.9507460673908-29.95074606739070.562754047617665
9451205005.1760510576-29.6297266754169-29.62972667541680.785054073724742
9545604739.21743754354-29.9604922076101-29.9604922076102-0.811155738592584
9645204611.70640421139-30.0967593069288-30.0967593069287-0.33482482271077
9746004401.26542757363-28.4888526234334313.377384459513-0.639896218364369
9845804519.70158371472-27.4788581523457-27.47886340904650.486152370635611
9943604427.88343049954-27.700516490127-27.7005164901272-0.21926800149724
10045404502.83342195314-27.4848463121756-27.48484631217540.351730083221177
10144204458.28197740616-27.5118024580963-27.5118024580966-0.0585492372976561
10246804600.25836474171-27.2784547985465-27.27845479854650.581647871431622
10347604704.22181527902-27.108177996799-27.10817799679930.4504446091999
10449404854.71221563247-26.8833770367263-26.88337703672660.609573054244937
10547804815.00144421613-26.8994445012215-26.8994445012214-0.0440282395784722
10653405142.56820818654-26.4575885148215-26.45758851482151.21666297356938
10751405146.94403333966-26.41925478871-26.41925478871010.105832269277766
10847004879.16718253513-26.718788753822-26.7187887538219-0.828434027800182

\begin{tabular}{lllllllll}
\hline
Structural Time Series Model -- Interpolation \tabularnewline
t & Observed & Level & Slope & Seasonal & Stand. Residuals \tabularnewline
1 & 7020 & 7020 & 0 & 0 & 0 \tabularnewline
2 & 6240 & 6464.35780284675 & -38.1601124391779 & -38.1601130598701 & -1.28802617036149 \tabularnewline
3 & 6040 & 6208.33164722956 & -45.8989178154825 & -45.8989178154826 & -0.697673257344664 \tabularnewline
4 & 6580 & 6446.5456227981 & -39.8144984910929 & -39.814498491093 & 0.957766292580903 \tabularnewline
5 & 5900 & 6121.60225898855 & -44.3429438934786 & -44.3429438934786 & -0.972331698929766 \tabularnewline
6 & 6100 & 6118.19049645052 & -43.7832363132207 & -43.7832363132207 & 0.140041549192656 \tabularnewline
7 & 6460 & 6336.3395087364 & -40.4465907444735 & -40.4465907444733 & 0.897165932985659 \tabularnewline
8 & 8740 & 7811.49944049017 & -21.8187986803072 & -21.8187986803075 & 5.19336947850832 \tabularnewline
9 & 6940 & 7284.66393460493 & -27.8948021123799 & -27.89480211238 & -1.73077495580834 \tabularnewline
10 & 7260 & 7275.75734690252 & -27.6698657905391 & -27.6698657905391 & 0.065080576973106 \tabularnewline
11 & 7380 & 7345.44521623474 & -26.5316297279372 & -26.5316297279372 & 0.333699096494873 \tabularnewline
12 & 7640 & 7530.99790748206 & -24.0820580664299 & -24.0820580664299 & 0.726950041228354 \tabularnewline
13 & 6640 & 7055.09105398368 & 10.5138768579376 & -115.652644568871 & -1.96757994567702 \tabularnewline
14 & 5860 & 6255.96576795856 & -15.5070968520793 & -15.5070992729179 & -2.29896302290227 \tabularnewline
15 & 6160 & 6200.17687600807 & -16.1684257447064 & -16.1684257447065 & -0.133464924853765 \tabularnewline
16 & 5580 & 5823.62697319315 & -19.7615430013027 & -19.7615430013028 & -1.22606454865763 \tabularnewline
17 & 6140 & 6021.59385386525 & -18.1390085345841 & -18.1390085345842 & 0.745057877479128 \tabularnewline
18 & 5680 & 5816.75490678349 & -19.3454145166446 & -19.3454145166446 & -0.63990648670683 \tabularnewline
19 & 5740 & 5774.13608449014 & -19.4864454949716 & -19.4864454949717 & -0.07981074392943 \tabularnewline
20 & 6280 & 6087.76787162487 & -17.5262508020748 & -17.5262508020753 & 1.14257079860844 \tabularnewline
21 & 7060 & 6686.10308125677 & -13.9564244118301 & -13.9564244118302 & 2.11251652528706 \tabularnewline
22 & 6820 & 6771.07902404362 & -13.3883078069602 & -13.3883078069603 & 0.339366514741767 \tabularnewline
23 & 6560 & 6645.00497623733 & -14.0308142910888 & -14.0308142910888 & -0.386550183308524 \tabularnewline
24 & 6100 & 6314.9024028553 & -15.8217952876932 & -15.8217952876932 & -1.0842419238666 \tabularnewline
25 & 5860 & 6000.13833797739 & -4.83826258151059 & 53.2208905484413 & -1.16371213297474 \tabularnewline
26 & 5780 & 5859.24021866117 & -7.70561004211036 & -7.70561248050005 & -0.414700909872805 \tabularnewline
27 & 5220 & 5466.29297130761 & -11.8181400949612 & -11.8181400949612 & -1.29262079150202 \tabularnewline
28 & 5080 & 5232.19017058017 & -13.2618858989966 & -13.2618858989966 & -0.75863596191638 \tabularnewline
29 & 4840 & 4995.10568540044 & -14.3512237797033 & -14.3512237797034 & -0.766767777795762 \tabularnewline
30 & 5040 & 5025.78918895178 & -14.1607303218547 & -14.1607303218547 & 0.154440451022111 \tabularnewline
31 & 4420 & 4658.29690826655 & -15.5653108174417 & -15.5653108174419 & -1.21211832507075 \tabularnewline
32 & 5160 & 4968.74603313676 & -14.3042545955658 & -14.3042545955662 & 1.11854514018716 \tabularnewline
33 & 5240 & 5137.91188094643 & -13.6037798390564 & -13.6037798390565 & 0.629510209250534 \tabularnewline
34 & 5560 & 5399.20897236522 & -12.5619626018271 & -12.5619626018271 & 0.943239612555845 \tabularnewline
35 & 6120 & 5843.03567719695 & -10.8412710730054 & -10.8412710730055 & 1.56597387944833 \tabularnewline
36 & 5300 & 5513.20258364284 & -12.0387808289495 & -12.0387808289496 & -1.09453878375076 \tabularnewline
37 & 5540 & 5452.10322958586 & -10.8530146036748 & 119.383161897064 & -0.183470955655973 \tabularnewline
38 & 4520 & 4860.89017749302 & -19.951267289859 & -19.9512698222804 & -1.82690886524917 \tabularnewline
39 & 5160 & 5049.86567562017 & -18.2988860442961 & -18.2988860442961 & 0.705239575545227 \tabularnewline
40 & 4740 & 4864.08823938523 & -19.1055063272901 & -19.1055063272901 & -0.572457818939597 \tabularnewline
41 & 4480 & 4633.21930452428 & -19.8707052796761 & -19.8707052796762 & -0.725847616054297 \tabularnewline
42 & 4520 & 4568.37178994787 & -20.0121130453065 & -20.0121130453065 & -0.154283410677461 \tabularnewline
43 & 4640 & 4616.69957278105 & -19.8099777714273 & -19.8099777714275 & 0.234485177445895 \tabularnewline
44 & 4720 & 4684.36635995284 & -19.5579620766671 & -19.5579620766675 & 0.300174521908151 \tabularnewline
45 & 4700 & 4698.31862055389 & -19.4625800553321 & -19.4625800553322 & 0.114993616923593 \tabularnewline
46 & 5060 & 4924.05282192282 & -18.7691354099238 & -18.7691354099238 & 0.841428684845084 \tabularnewline
47 & 5500 & 5280.77665564026 & -17.7116667696044 & -17.7116667696045 & 1.28856696974062 \tabularnewline
48 & 4980 & 5100.65110283798 & -18.1675283703603 & -18.1675283703604 & -0.55735209583307 \tabularnewline
49 & 5100 & 4983.25334202943 & -16.3806212092065 & 180.186836267616 & -0.363493965341579 \tabularnewline
50 & 4620 & 4757.91384167302 & -18.9885427110585 & -18.9885461481432 & -0.670051062988554 \tabularnewline
51 & 4960 & 4886.69381920642 & -18.060374838117 & -18.060374838117 & 0.500549121215962 \tabularnewline
52 & 4640 & 4739.58644097601 & -18.5542475056031 & -18.5542475056031 & -0.441489575260553 \tabularnewline
53 & 4660 & 4695.02116518328 & -18.6289876970905 & -18.6289876970905 & -0.0891846925830065 \tabularnewline
54 & 4920 & 4836.94215987807 & -18.2273299553276 & -18.2273299553276 & 0.550820378566802 \tabularnewline
55 & 4540 & 4659.24346175821 & -18.6028896952303 & -18.6028896952305 & -0.547230423161581 \tabularnewline
56 & 4660 & 4663.8809033366 & -18.5495484895577 & -18.5495484895581 & 0.0797556763650534 \tabularnewline
57 & 4840 & 4775.86189541337 & -18.2533797465237 & -18.2533797465237 & 0.447964434421138 \tabularnewline
58 & 5260 & 5076.34320036048 & -17.5344047489273 & -17.5344047489273 & 1.09386954546927 \tabularnewline
59 & 4640 & 4813.15152319625 & -18.086520938413 & -18.0865209384131 & -0.843078198214569 \tabularnewline
60 & 5020 & 4943.84124115668 & -17.7530754260436 & -17.7530754260436 & 0.510590545233267 \tabularnewline
61 & 6420 & 5649.2738720199 & -28.1303907967467 & 309.434302676693 & 2.61589617196294 \tabularnewline
62 & 4300 & 4808.01349185711 & -36.5599900761125 & -36.5599958497264 & -2.63882829497988 \tabularnewline
63 & 4680 & 4737.69107910849 & -36.7358642116038 & -36.7358642116039 & -0.114629608350854 \tabularnewline
64 & 4540 & 4624.83192302645 & -36.9775544361701 & -36.9775544361698 & -0.260582750775168 \tabularnewline
65 & 4240 & 4397.47263955611 & -37.4316057656473 & -37.4316057656475 & -0.652903913095338 \tabularnewline
66 & 4540 & 4493.15182519287 & -37.1550820871169 & -37.1550820871169 & 0.456729072086291 \tabularnewline
67 & 4740 & 4652.63788647187 & -36.7703835310058 & -36.770383531006 & 0.67482721545781 \tabularnewline
68 & 5160 & 4971.5425681142 & -36.0919708761266 & -36.0919708761269 & 1.22066912225121 \tabularnewline
69 & 5200 & 5119.52656543653 & -35.7447456517873 & -35.7447456517872 & 0.631759309984693 \tabularnewline
70 & 5420 & 5311.52625389541 & -35.3174929857103 & -35.3174929857103 & 0.781639111538318 \tabularnewline
71 & 5140 & 5214.43529723278 & -35.4330030359797 & -35.4330030359799 & -0.212012813156168 \tabularnewline
72 & 4600 & 4846.18665435095 & -36.0538371771098 & -36.0538371771097 & -1.1422591349224 \tabularnewline
73 & 4800 & 4580.09574235348 & -33.310282272548 & 366.413110788255 & -0.82503548307022 \tabularnewline
74 & 4840 & 4751.3436187359 & -31.4967895193491 & -31.4967948361319 & 0.669446652184978 \tabularnewline
75 & 4720 & 4739.30233223159 & -31.4102182488152 & -31.4102182488153 & 0.0661623600688895 \tabularnewline
76 & 4600 & 4661.02426210474 & -31.5373594502933 & -31.537359450293 & -0.160503364948946 \tabularnewline
77 & 4340 & 4471.50688847362 & -31.8593917651721 & -31.8593917651723 & -0.541864650310062 \tabularnewline
78 & 4460 & 4471.6203756846 & -31.8026041812776 & -31.8026041812776 & 0.109713363460499 \tabularnewline
79 & 4360 & 4410.41584365841 & -31.8517968104538 & -31.8517968104541 & -0.100905721694309 \tabularnewline
80 & 4720 & 4607.1431355376 & -31.478825005581 & -31.4788250055813 & 0.784510889640913 \tabularnewline
81 & 4920 & 4805.78990203806 & -31.1073779707467 & -31.1073779707466 & 0.789834207927283 \tabularnewline
82 & 5000 & 4931.7011670427 & -30.8552484042621 & -30.8552484042621 & 0.538921608983422 \tabularnewline
83 & 4680 & 4784.50740027786 & -31.0414974144342 & -31.0414974144344 & -0.399299980749688 \tabularnewline
84 & 4480 & 4605.0201074088 & -31.2786396793782 & -31.2786396793782 & -0.509500114383377 \tabularnewline
85 & 4840 & 4529.24104921611 & -30.8245705180458 & 339.070281055657 & -0.158627451284821 \tabularnewline
86 & 4480 & 4506.16774294688 & -30.7645457806675 & -30.7645511197316 & 0.0255253099975585 \tabularnewline
87 & 4500 & 4509.42009180072 & -30.6324406452588 & -30.632440645259 & 0.115821171283308 \tabularnewline
88 & 4380 & 4437.02321794415 & -30.7313394831157 & -30.7313394831154 & -0.143070660292709 \tabularnewline
89 & 4460 & 4458.00914521115 & -30.6392910219441 & -30.6392910219444 & 0.177407703964461 \tabularnewline
90 & 4540 & 4515.10942527792 & -30.5031930769149 & -30.5031930769148 & 0.301090790360015 \tabularnewline
91 & 4920 & 4769.91738394353 & -30.086207435666 & -30.0862074356663 & 0.979208110067485 \tabularnewline
92 & 4600 & 4672.6249635946 & -30.1820188858664 & -30.1820188858668 & -0.230666914230758 \tabularnewline
93 & 4880 & 4806.40195950585 & -29.9507460673908 & -29.9507460673907 & 0.562754047617665 \tabularnewline
94 & 5120 & 5005.1760510576 & -29.6297266754169 & -29.6297266754168 & 0.785054073724742 \tabularnewline
95 & 4560 & 4739.21743754354 & -29.9604922076101 & -29.9604922076102 & -0.811155738592584 \tabularnewline
96 & 4520 & 4611.70640421139 & -30.0967593069288 & -30.0967593069287 & -0.33482482271077 \tabularnewline
97 & 4600 & 4401.26542757363 & -28.4888526234334 & 313.377384459513 & -0.639896218364369 \tabularnewline
98 & 4580 & 4519.70158371472 & -27.4788581523457 & -27.4788634090465 & 0.486152370635611 \tabularnewline
99 & 4360 & 4427.88343049954 & -27.700516490127 & -27.7005164901272 & -0.21926800149724 \tabularnewline
100 & 4540 & 4502.83342195314 & -27.4848463121756 & -27.4848463121754 & 0.351730083221177 \tabularnewline
101 & 4420 & 4458.28197740616 & -27.5118024580963 & -27.5118024580966 & -0.0585492372976561 \tabularnewline
102 & 4680 & 4600.25836474171 & -27.2784547985465 & -27.2784547985465 & 0.581647871431622 \tabularnewline
103 & 4760 & 4704.22181527902 & -27.108177996799 & -27.1081779967993 & 0.4504446091999 \tabularnewline
104 & 4940 & 4854.71221563247 & -26.8833770367263 & -26.8833770367266 & 0.609573054244937 \tabularnewline
105 & 4780 & 4815.00144421613 & -26.8994445012215 & -26.8994445012214 & -0.0440282395784722 \tabularnewline
106 & 5340 & 5142.56820818654 & -26.4575885148215 & -26.4575885148215 & 1.21666297356938 \tabularnewline
107 & 5140 & 5146.94403333966 & -26.41925478871 & -26.4192547887101 & 0.105832269277766 \tabularnewline
108 & 4700 & 4879.16718253513 & -26.718788753822 & -26.7187887538219 & -0.828434027800182 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=302272&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]7020[/C][C]7020[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]6240[/C][C]6464.35780284675[/C][C]-38.1601124391779[/C][C]-38.1601130598701[/C][C]-1.28802617036149[/C][/ROW]
[ROW][C]3[/C][C]6040[/C][C]6208.33164722956[/C][C]-45.8989178154825[/C][C]-45.8989178154826[/C][C]-0.697673257344664[/C][/ROW]
[ROW][C]4[/C][C]6580[/C][C]6446.5456227981[/C][C]-39.8144984910929[/C][C]-39.814498491093[/C][C]0.957766292580903[/C][/ROW]
[ROW][C]5[/C][C]5900[/C][C]6121.60225898855[/C][C]-44.3429438934786[/C][C]-44.3429438934786[/C][C]-0.972331698929766[/C][/ROW]
[ROW][C]6[/C][C]6100[/C][C]6118.19049645052[/C][C]-43.7832363132207[/C][C]-43.7832363132207[/C][C]0.140041549192656[/C][/ROW]
[ROW][C]7[/C][C]6460[/C][C]6336.3395087364[/C][C]-40.4465907444735[/C][C]-40.4465907444733[/C][C]0.897165932985659[/C][/ROW]
[ROW][C]8[/C][C]8740[/C][C]7811.49944049017[/C][C]-21.8187986803072[/C][C]-21.8187986803075[/C][C]5.19336947850832[/C][/ROW]
[ROW][C]9[/C][C]6940[/C][C]7284.66393460493[/C][C]-27.8948021123799[/C][C]-27.89480211238[/C][C]-1.73077495580834[/C][/ROW]
[ROW][C]10[/C][C]7260[/C][C]7275.75734690252[/C][C]-27.6698657905391[/C][C]-27.6698657905391[/C][C]0.065080576973106[/C][/ROW]
[ROW][C]11[/C][C]7380[/C][C]7345.44521623474[/C][C]-26.5316297279372[/C][C]-26.5316297279372[/C][C]0.333699096494873[/C][/ROW]
[ROW][C]12[/C][C]7640[/C][C]7530.99790748206[/C][C]-24.0820580664299[/C][C]-24.0820580664299[/C][C]0.726950041228354[/C][/ROW]
[ROW][C]13[/C][C]6640[/C][C]7055.09105398368[/C][C]10.5138768579376[/C][C]-115.652644568871[/C][C]-1.96757994567702[/C][/ROW]
[ROW][C]14[/C][C]5860[/C][C]6255.96576795856[/C][C]-15.5070968520793[/C][C]-15.5070992729179[/C][C]-2.29896302290227[/C][/ROW]
[ROW][C]15[/C][C]6160[/C][C]6200.17687600807[/C][C]-16.1684257447064[/C][C]-16.1684257447065[/C][C]-0.133464924853765[/C][/ROW]
[ROW][C]16[/C][C]5580[/C][C]5823.62697319315[/C][C]-19.7615430013027[/C][C]-19.7615430013028[/C][C]-1.22606454865763[/C][/ROW]
[ROW][C]17[/C][C]6140[/C][C]6021.59385386525[/C][C]-18.1390085345841[/C][C]-18.1390085345842[/C][C]0.745057877479128[/C][/ROW]
[ROW][C]18[/C][C]5680[/C][C]5816.75490678349[/C][C]-19.3454145166446[/C][C]-19.3454145166446[/C][C]-0.63990648670683[/C][/ROW]
[ROW][C]19[/C][C]5740[/C][C]5774.13608449014[/C][C]-19.4864454949716[/C][C]-19.4864454949717[/C][C]-0.07981074392943[/C][/ROW]
[ROW][C]20[/C][C]6280[/C][C]6087.76787162487[/C][C]-17.5262508020748[/C][C]-17.5262508020753[/C][C]1.14257079860844[/C][/ROW]
[ROW][C]21[/C][C]7060[/C][C]6686.10308125677[/C][C]-13.9564244118301[/C][C]-13.9564244118302[/C][C]2.11251652528706[/C][/ROW]
[ROW][C]22[/C][C]6820[/C][C]6771.07902404362[/C][C]-13.3883078069602[/C][C]-13.3883078069603[/C][C]0.339366514741767[/C][/ROW]
[ROW][C]23[/C][C]6560[/C][C]6645.00497623733[/C][C]-14.0308142910888[/C][C]-14.0308142910888[/C][C]-0.386550183308524[/C][/ROW]
[ROW][C]24[/C][C]6100[/C][C]6314.9024028553[/C][C]-15.8217952876932[/C][C]-15.8217952876932[/C][C]-1.0842419238666[/C][/ROW]
[ROW][C]25[/C][C]5860[/C][C]6000.13833797739[/C][C]-4.83826258151059[/C][C]53.2208905484413[/C][C]-1.16371213297474[/C][/ROW]
[ROW][C]26[/C][C]5780[/C][C]5859.24021866117[/C][C]-7.70561004211036[/C][C]-7.70561248050005[/C][C]-0.414700909872805[/C][/ROW]
[ROW][C]27[/C][C]5220[/C][C]5466.29297130761[/C][C]-11.8181400949612[/C][C]-11.8181400949612[/C][C]-1.29262079150202[/C][/ROW]
[ROW][C]28[/C][C]5080[/C][C]5232.19017058017[/C][C]-13.2618858989966[/C][C]-13.2618858989966[/C][C]-0.75863596191638[/C][/ROW]
[ROW][C]29[/C][C]4840[/C][C]4995.10568540044[/C][C]-14.3512237797033[/C][C]-14.3512237797034[/C][C]-0.766767777795762[/C][/ROW]
[ROW][C]30[/C][C]5040[/C][C]5025.78918895178[/C][C]-14.1607303218547[/C][C]-14.1607303218547[/C][C]0.154440451022111[/C][/ROW]
[ROW][C]31[/C][C]4420[/C][C]4658.29690826655[/C][C]-15.5653108174417[/C][C]-15.5653108174419[/C][C]-1.21211832507075[/C][/ROW]
[ROW][C]32[/C][C]5160[/C][C]4968.74603313676[/C][C]-14.3042545955658[/C][C]-14.3042545955662[/C][C]1.11854514018716[/C][/ROW]
[ROW][C]33[/C][C]5240[/C][C]5137.91188094643[/C][C]-13.6037798390564[/C][C]-13.6037798390565[/C][C]0.629510209250534[/C][/ROW]
[ROW][C]34[/C][C]5560[/C][C]5399.20897236522[/C][C]-12.5619626018271[/C][C]-12.5619626018271[/C][C]0.943239612555845[/C][/ROW]
[ROW][C]35[/C][C]6120[/C][C]5843.03567719695[/C][C]-10.8412710730054[/C][C]-10.8412710730055[/C][C]1.56597387944833[/C][/ROW]
[ROW][C]36[/C][C]5300[/C][C]5513.20258364284[/C][C]-12.0387808289495[/C][C]-12.0387808289496[/C][C]-1.09453878375076[/C][/ROW]
[ROW][C]37[/C][C]5540[/C][C]5452.10322958586[/C][C]-10.8530146036748[/C][C]119.383161897064[/C][C]-0.183470955655973[/C][/ROW]
[ROW][C]38[/C][C]4520[/C][C]4860.89017749302[/C][C]-19.951267289859[/C][C]-19.9512698222804[/C][C]-1.82690886524917[/C][/ROW]
[ROW][C]39[/C][C]5160[/C][C]5049.86567562017[/C][C]-18.2988860442961[/C][C]-18.2988860442961[/C][C]0.705239575545227[/C][/ROW]
[ROW][C]40[/C][C]4740[/C][C]4864.08823938523[/C][C]-19.1055063272901[/C][C]-19.1055063272901[/C][C]-0.572457818939597[/C][/ROW]
[ROW][C]41[/C][C]4480[/C][C]4633.21930452428[/C][C]-19.8707052796761[/C][C]-19.8707052796762[/C][C]-0.725847616054297[/C][/ROW]
[ROW][C]42[/C][C]4520[/C][C]4568.37178994787[/C][C]-20.0121130453065[/C][C]-20.0121130453065[/C][C]-0.154283410677461[/C][/ROW]
[ROW][C]43[/C][C]4640[/C][C]4616.69957278105[/C][C]-19.8099777714273[/C][C]-19.8099777714275[/C][C]0.234485177445895[/C][/ROW]
[ROW][C]44[/C][C]4720[/C][C]4684.36635995284[/C][C]-19.5579620766671[/C][C]-19.5579620766675[/C][C]0.300174521908151[/C][/ROW]
[ROW][C]45[/C][C]4700[/C][C]4698.31862055389[/C][C]-19.4625800553321[/C][C]-19.4625800553322[/C][C]0.114993616923593[/C][/ROW]
[ROW][C]46[/C][C]5060[/C][C]4924.05282192282[/C][C]-18.7691354099238[/C][C]-18.7691354099238[/C][C]0.841428684845084[/C][/ROW]
[ROW][C]47[/C][C]5500[/C][C]5280.77665564026[/C][C]-17.7116667696044[/C][C]-17.7116667696045[/C][C]1.28856696974062[/C][/ROW]
[ROW][C]48[/C][C]4980[/C][C]5100.65110283798[/C][C]-18.1675283703603[/C][C]-18.1675283703604[/C][C]-0.55735209583307[/C][/ROW]
[ROW][C]49[/C][C]5100[/C][C]4983.25334202943[/C][C]-16.3806212092065[/C][C]180.186836267616[/C][C]-0.363493965341579[/C][/ROW]
[ROW][C]50[/C][C]4620[/C][C]4757.91384167302[/C][C]-18.9885427110585[/C][C]-18.9885461481432[/C][C]-0.670051062988554[/C][/ROW]
[ROW][C]51[/C][C]4960[/C][C]4886.69381920642[/C][C]-18.060374838117[/C][C]-18.060374838117[/C][C]0.500549121215962[/C][/ROW]
[ROW][C]52[/C][C]4640[/C][C]4739.58644097601[/C][C]-18.5542475056031[/C][C]-18.5542475056031[/C][C]-0.441489575260553[/C][/ROW]
[ROW][C]53[/C][C]4660[/C][C]4695.02116518328[/C][C]-18.6289876970905[/C][C]-18.6289876970905[/C][C]-0.0891846925830065[/C][/ROW]
[ROW][C]54[/C][C]4920[/C][C]4836.94215987807[/C][C]-18.2273299553276[/C][C]-18.2273299553276[/C][C]0.550820378566802[/C][/ROW]
[ROW][C]55[/C][C]4540[/C][C]4659.24346175821[/C][C]-18.6028896952303[/C][C]-18.6028896952305[/C][C]-0.547230423161581[/C][/ROW]
[ROW][C]56[/C][C]4660[/C][C]4663.8809033366[/C][C]-18.5495484895577[/C][C]-18.5495484895581[/C][C]0.0797556763650534[/C][/ROW]
[ROW][C]57[/C][C]4840[/C][C]4775.86189541337[/C][C]-18.2533797465237[/C][C]-18.2533797465237[/C][C]0.447964434421138[/C][/ROW]
[ROW][C]58[/C][C]5260[/C][C]5076.34320036048[/C][C]-17.5344047489273[/C][C]-17.5344047489273[/C][C]1.09386954546927[/C][/ROW]
[ROW][C]59[/C][C]4640[/C][C]4813.15152319625[/C][C]-18.086520938413[/C][C]-18.0865209384131[/C][C]-0.843078198214569[/C][/ROW]
[ROW][C]60[/C][C]5020[/C][C]4943.84124115668[/C][C]-17.7530754260436[/C][C]-17.7530754260436[/C][C]0.510590545233267[/C][/ROW]
[ROW][C]61[/C][C]6420[/C][C]5649.2738720199[/C][C]-28.1303907967467[/C][C]309.434302676693[/C][C]2.61589617196294[/C][/ROW]
[ROW][C]62[/C][C]4300[/C][C]4808.01349185711[/C][C]-36.5599900761125[/C][C]-36.5599958497264[/C][C]-2.63882829497988[/C][/ROW]
[ROW][C]63[/C][C]4680[/C][C]4737.69107910849[/C][C]-36.7358642116038[/C][C]-36.7358642116039[/C][C]-0.114629608350854[/C][/ROW]
[ROW][C]64[/C][C]4540[/C][C]4624.83192302645[/C][C]-36.9775544361701[/C][C]-36.9775544361698[/C][C]-0.260582750775168[/C][/ROW]
[ROW][C]65[/C][C]4240[/C][C]4397.47263955611[/C][C]-37.4316057656473[/C][C]-37.4316057656475[/C][C]-0.652903913095338[/C][/ROW]
[ROW][C]66[/C][C]4540[/C][C]4493.15182519287[/C][C]-37.1550820871169[/C][C]-37.1550820871169[/C][C]0.456729072086291[/C][/ROW]
[ROW][C]67[/C][C]4740[/C][C]4652.63788647187[/C][C]-36.7703835310058[/C][C]-36.770383531006[/C][C]0.67482721545781[/C][/ROW]
[ROW][C]68[/C][C]5160[/C][C]4971.5425681142[/C][C]-36.0919708761266[/C][C]-36.0919708761269[/C][C]1.22066912225121[/C][/ROW]
[ROW][C]69[/C][C]5200[/C][C]5119.52656543653[/C][C]-35.7447456517873[/C][C]-35.7447456517872[/C][C]0.631759309984693[/C][/ROW]
[ROW][C]70[/C][C]5420[/C][C]5311.52625389541[/C][C]-35.3174929857103[/C][C]-35.3174929857103[/C][C]0.781639111538318[/C][/ROW]
[ROW][C]71[/C][C]5140[/C][C]5214.43529723278[/C][C]-35.4330030359797[/C][C]-35.4330030359799[/C][C]-0.212012813156168[/C][/ROW]
[ROW][C]72[/C][C]4600[/C][C]4846.18665435095[/C][C]-36.0538371771098[/C][C]-36.0538371771097[/C][C]-1.1422591349224[/C][/ROW]
[ROW][C]73[/C][C]4800[/C][C]4580.09574235348[/C][C]-33.310282272548[/C][C]366.413110788255[/C][C]-0.82503548307022[/C][/ROW]
[ROW][C]74[/C][C]4840[/C][C]4751.3436187359[/C][C]-31.4967895193491[/C][C]-31.4967948361319[/C][C]0.669446652184978[/C][/ROW]
[ROW][C]75[/C][C]4720[/C][C]4739.30233223159[/C][C]-31.4102182488152[/C][C]-31.4102182488153[/C][C]0.0661623600688895[/C][/ROW]
[ROW][C]76[/C][C]4600[/C][C]4661.02426210474[/C][C]-31.5373594502933[/C][C]-31.537359450293[/C][C]-0.160503364948946[/C][/ROW]
[ROW][C]77[/C][C]4340[/C][C]4471.50688847362[/C][C]-31.8593917651721[/C][C]-31.8593917651723[/C][C]-0.541864650310062[/C][/ROW]
[ROW][C]78[/C][C]4460[/C][C]4471.6203756846[/C][C]-31.8026041812776[/C][C]-31.8026041812776[/C][C]0.109713363460499[/C][/ROW]
[ROW][C]79[/C][C]4360[/C][C]4410.41584365841[/C][C]-31.8517968104538[/C][C]-31.8517968104541[/C][C]-0.100905721694309[/C][/ROW]
[ROW][C]80[/C][C]4720[/C][C]4607.1431355376[/C][C]-31.478825005581[/C][C]-31.4788250055813[/C][C]0.784510889640913[/C][/ROW]
[ROW][C]81[/C][C]4920[/C][C]4805.78990203806[/C][C]-31.1073779707467[/C][C]-31.1073779707466[/C][C]0.789834207927283[/C][/ROW]
[ROW][C]82[/C][C]5000[/C][C]4931.7011670427[/C][C]-30.8552484042621[/C][C]-30.8552484042621[/C][C]0.538921608983422[/C][/ROW]
[ROW][C]83[/C][C]4680[/C][C]4784.50740027786[/C][C]-31.0414974144342[/C][C]-31.0414974144344[/C][C]-0.399299980749688[/C][/ROW]
[ROW][C]84[/C][C]4480[/C][C]4605.0201074088[/C][C]-31.2786396793782[/C][C]-31.2786396793782[/C][C]-0.509500114383377[/C][/ROW]
[ROW][C]85[/C][C]4840[/C][C]4529.24104921611[/C][C]-30.8245705180458[/C][C]339.070281055657[/C][C]-0.158627451284821[/C][/ROW]
[ROW][C]86[/C][C]4480[/C][C]4506.16774294688[/C][C]-30.7645457806675[/C][C]-30.7645511197316[/C][C]0.0255253099975585[/C][/ROW]
[ROW][C]87[/C][C]4500[/C][C]4509.42009180072[/C][C]-30.6324406452588[/C][C]-30.632440645259[/C][C]0.115821171283308[/C][/ROW]
[ROW][C]88[/C][C]4380[/C][C]4437.02321794415[/C][C]-30.7313394831157[/C][C]-30.7313394831154[/C][C]-0.143070660292709[/C][/ROW]
[ROW][C]89[/C][C]4460[/C][C]4458.00914521115[/C][C]-30.6392910219441[/C][C]-30.6392910219444[/C][C]0.177407703964461[/C][/ROW]
[ROW][C]90[/C][C]4540[/C][C]4515.10942527792[/C][C]-30.5031930769149[/C][C]-30.5031930769148[/C][C]0.301090790360015[/C][/ROW]
[ROW][C]91[/C][C]4920[/C][C]4769.91738394353[/C][C]-30.086207435666[/C][C]-30.0862074356663[/C][C]0.979208110067485[/C][/ROW]
[ROW][C]92[/C][C]4600[/C][C]4672.6249635946[/C][C]-30.1820188858664[/C][C]-30.1820188858668[/C][C]-0.230666914230758[/C][/ROW]
[ROW][C]93[/C][C]4880[/C][C]4806.40195950585[/C][C]-29.9507460673908[/C][C]-29.9507460673907[/C][C]0.562754047617665[/C][/ROW]
[ROW][C]94[/C][C]5120[/C][C]5005.1760510576[/C][C]-29.6297266754169[/C][C]-29.6297266754168[/C][C]0.785054073724742[/C][/ROW]
[ROW][C]95[/C][C]4560[/C][C]4739.21743754354[/C][C]-29.9604922076101[/C][C]-29.9604922076102[/C][C]-0.811155738592584[/C][/ROW]
[ROW][C]96[/C][C]4520[/C][C]4611.70640421139[/C][C]-30.0967593069288[/C][C]-30.0967593069287[/C][C]-0.33482482271077[/C][/ROW]
[ROW][C]97[/C][C]4600[/C][C]4401.26542757363[/C][C]-28.4888526234334[/C][C]313.377384459513[/C][C]-0.639896218364369[/C][/ROW]
[ROW][C]98[/C][C]4580[/C][C]4519.70158371472[/C][C]-27.4788581523457[/C][C]-27.4788634090465[/C][C]0.486152370635611[/C][/ROW]
[ROW][C]99[/C][C]4360[/C][C]4427.88343049954[/C][C]-27.700516490127[/C][C]-27.7005164901272[/C][C]-0.21926800149724[/C][/ROW]
[ROW][C]100[/C][C]4540[/C][C]4502.83342195314[/C][C]-27.4848463121756[/C][C]-27.4848463121754[/C][C]0.351730083221177[/C][/ROW]
[ROW][C]101[/C][C]4420[/C][C]4458.28197740616[/C][C]-27.5118024580963[/C][C]-27.5118024580966[/C][C]-0.0585492372976561[/C][/ROW]
[ROW][C]102[/C][C]4680[/C][C]4600.25836474171[/C][C]-27.2784547985465[/C][C]-27.2784547985465[/C][C]0.581647871431622[/C][/ROW]
[ROW][C]103[/C][C]4760[/C][C]4704.22181527902[/C][C]-27.108177996799[/C][C]-27.1081779967993[/C][C]0.4504446091999[/C][/ROW]
[ROW][C]104[/C][C]4940[/C][C]4854.71221563247[/C][C]-26.8833770367263[/C][C]-26.8833770367266[/C][C]0.609573054244937[/C][/ROW]
[ROW][C]105[/C][C]4780[/C][C]4815.00144421613[/C][C]-26.8994445012215[/C][C]-26.8994445012214[/C][C]-0.0440282395784722[/C][/ROW]
[ROW][C]106[/C][C]5340[/C][C]5142.56820818654[/C][C]-26.4575885148215[/C][C]-26.4575885148215[/C][C]1.21666297356938[/C][/ROW]
[ROW][C]107[/C][C]5140[/C][C]5146.94403333966[/C][C]-26.41925478871[/C][C]-26.4192547887101[/C][C]0.105832269277766[/C][/ROW]
[ROW][C]108[/C][C]4700[/C][C]4879.16718253513[/C][C]-26.718788753822[/C][C]-26.7187887538219[/C][C]-0.828434027800182[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=302272&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=302272&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
170207020000
262406464.35780284675-38.1601124391779-38.1601130598701-1.28802617036149
360406208.33164722956-45.8989178154825-45.8989178154826-0.697673257344664
465806446.5456227981-39.8144984910929-39.8144984910930.957766292580903
559006121.60225898855-44.3429438934786-44.3429438934786-0.972331698929766
661006118.19049645052-43.7832363132207-43.78323631322070.140041549192656
764606336.3395087364-40.4465907444735-40.44659074447330.897165932985659
887407811.49944049017-21.8187986803072-21.81879868030755.19336947850832
969407284.66393460493-27.8948021123799-27.89480211238-1.73077495580834
1072607275.75734690252-27.6698657905391-27.66986579053910.065080576973106
1173807345.44521623474-26.5316297279372-26.53162972793720.333699096494873
1276407530.99790748206-24.0820580664299-24.08205806642990.726950041228354
1366407055.0910539836810.5138768579376-115.652644568871-1.96757994567702
1458606255.96576795856-15.5070968520793-15.5070992729179-2.29896302290227
1561606200.17687600807-16.1684257447064-16.1684257447065-0.133464924853765
1655805823.62697319315-19.7615430013027-19.7615430013028-1.22606454865763
1761406021.59385386525-18.1390085345841-18.13900853458420.745057877479128
1856805816.75490678349-19.3454145166446-19.3454145166446-0.63990648670683
1957405774.13608449014-19.4864454949716-19.4864454949717-0.07981074392943
2062806087.76787162487-17.5262508020748-17.52625080207531.14257079860844
2170606686.10308125677-13.9564244118301-13.95642441183022.11251652528706
2268206771.07902404362-13.3883078069602-13.38830780696030.339366514741767
2365606645.00497623733-14.0308142910888-14.0308142910888-0.386550183308524
2461006314.9024028553-15.8217952876932-15.8217952876932-1.0842419238666
2558606000.13833797739-4.8382625815105953.2208905484413-1.16371213297474
2657805859.24021866117-7.70561004211036-7.70561248050005-0.414700909872805
2752205466.29297130761-11.8181400949612-11.8181400949612-1.29262079150202
2850805232.19017058017-13.2618858989966-13.2618858989966-0.75863596191638
2948404995.10568540044-14.3512237797033-14.3512237797034-0.766767777795762
3050405025.78918895178-14.1607303218547-14.16073032185470.154440451022111
3144204658.29690826655-15.5653108174417-15.5653108174419-1.21211832507075
3251604968.74603313676-14.3042545955658-14.30425459556621.11854514018716
3352405137.91188094643-13.6037798390564-13.60377983905650.629510209250534
3455605399.20897236522-12.5619626018271-12.56196260182710.943239612555845
3561205843.03567719695-10.8412710730054-10.84127107300551.56597387944833
3653005513.20258364284-12.0387808289495-12.0387808289496-1.09453878375076
3755405452.10322958586-10.8530146036748119.383161897064-0.183470955655973
3845204860.89017749302-19.951267289859-19.9512698222804-1.82690886524917
3951605049.86567562017-18.2988860442961-18.29888604429610.705239575545227
4047404864.08823938523-19.1055063272901-19.1055063272901-0.572457818939597
4144804633.21930452428-19.8707052796761-19.8707052796762-0.725847616054297
4245204568.37178994787-20.0121130453065-20.0121130453065-0.154283410677461
4346404616.69957278105-19.8099777714273-19.80997777142750.234485177445895
4447204684.36635995284-19.5579620766671-19.55796207666750.300174521908151
4547004698.31862055389-19.4625800553321-19.46258005533220.114993616923593
4650604924.05282192282-18.7691354099238-18.76913540992380.841428684845084
4755005280.77665564026-17.7116667696044-17.71166676960451.28856696974062
4849805100.65110283798-18.1675283703603-18.1675283703604-0.55735209583307
4951004983.25334202943-16.3806212092065180.186836267616-0.363493965341579
5046204757.91384167302-18.9885427110585-18.9885461481432-0.670051062988554
5149604886.69381920642-18.060374838117-18.0603748381170.500549121215962
5246404739.58644097601-18.5542475056031-18.5542475056031-0.441489575260553
5346604695.02116518328-18.6289876970905-18.6289876970905-0.0891846925830065
5449204836.94215987807-18.2273299553276-18.22732995532760.550820378566802
5545404659.24346175821-18.6028896952303-18.6028896952305-0.547230423161581
5646604663.8809033366-18.5495484895577-18.54954848955810.0797556763650534
5748404775.86189541337-18.2533797465237-18.25337974652370.447964434421138
5852605076.34320036048-17.5344047489273-17.53440474892731.09386954546927
5946404813.15152319625-18.086520938413-18.0865209384131-0.843078198214569
6050204943.84124115668-17.7530754260436-17.75307542604360.510590545233267
6164205649.2738720199-28.1303907967467309.4343026766932.61589617196294
6243004808.01349185711-36.5599900761125-36.5599958497264-2.63882829497988
6346804737.69107910849-36.7358642116038-36.7358642116039-0.114629608350854
6445404624.83192302645-36.9775544361701-36.9775544361698-0.260582750775168
6542404397.47263955611-37.4316057656473-37.4316057656475-0.652903913095338
6645404493.15182519287-37.1550820871169-37.15508208711690.456729072086291
6747404652.63788647187-36.7703835310058-36.7703835310060.67482721545781
6851604971.5425681142-36.0919708761266-36.09197087612691.22066912225121
6952005119.52656543653-35.7447456517873-35.74474565178720.631759309984693
7054205311.52625389541-35.3174929857103-35.31749298571030.781639111538318
7151405214.43529723278-35.4330030359797-35.4330030359799-0.212012813156168
7246004846.18665435095-36.0538371771098-36.0538371771097-1.1422591349224
7348004580.09574235348-33.310282272548366.413110788255-0.82503548307022
7448404751.3436187359-31.4967895193491-31.49679483613190.669446652184978
7547204739.30233223159-31.4102182488152-31.41021824881530.0661623600688895
7646004661.02426210474-31.5373594502933-31.537359450293-0.160503364948946
7743404471.50688847362-31.8593917651721-31.8593917651723-0.541864650310062
7844604471.6203756846-31.8026041812776-31.80260418127760.109713363460499
7943604410.41584365841-31.8517968104538-31.8517968104541-0.100905721694309
8047204607.1431355376-31.478825005581-31.47882500558130.784510889640913
8149204805.78990203806-31.1073779707467-31.10737797074660.789834207927283
8250004931.7011670427-30.8552484042621-30.85524840426210.538921608983422
8346804784.50740027786-31.0414974144342-31.0414974144344-0.399299980749688
8444804605.0201074088-31.2786396793782-31.2786396793782-0.509500114383377
8548404529.24104921611-30.8245705180458339.070281055657-0.158627451284821
8644804506.16774294688-30.7645457806675-30.76455111973160.0255253099975585
8745004509.42009180072-30.6324406452588-30.6324406452590.115821171283308
8843804437.02321794415-30.7313394831157-30.7313394831154-0.143070660292709
8944604458.00914521115-30.6392910219441-30.63929102194440.177407703964461
9045404515.10942527792-30.5031930769149-30.50319307691480.301090790360015
9149204769.91738394353-30.086207435666-30.08620743566630.979208110067485
9246004672.6249635946-30.1820188858664-30.1820188858668-0.230666914230758
9348804806.40195950585-29.9507460673908-29.95074606739070.562754047617665
9451205005.1760510576-29.6297266754169-29.62972667541680.785054073724742
9545604739.21743754354-29.9604922076101-29.9604922076102-0.811155738592584
9645204611.70640421139-30.0967593069288-30.0967593069287-0.33482482271077
9746004401.26542757363-28.4888526234334313.377384459513-0.639896218364369
9845804519.70158371472-27.4788581523457-27.47886340904650.486152370635611
9943604427.88343049954-27.700516490127-27.7005164901272-0.21926800149724
10045404502.83342195314-27.4848463121756-27.48484631217540.351730083221177
10144204458.28197740616-27.5118024580963-27.5118024580966-0.0585492372976561
10246804600.25836474171-27.2784547985465-27.27845479854650.581647871431622
10347604704.22181527902-27.108177996799-27.10817799679930.4504446091999
10449404854.71221563247-26.8833770367263-26.88337703672660.609573054244937
10547804815.00144421613-26.8994445012215-26.8994445012214-0.0440282395784722
10653405142.56820818654-26.4575885148215-26.45758851482151.21666297356938
10751405146.94403333966-26.41925478871-26.41925478871010.105832269277766
10847004879.16718253513-26.718788753822-26.7187887538219-0.828434027800182







Structural Time Series Model -- Extrapolation
tObservedLevelSeasonal
14919.922238017274723.58852412546196.333713891805
24689.278932726994705.20998516307-15.9310524360752
34414.280982754514686.83144620068-272.550463446172
44413.69171788284668.45290723829-254.761189355486
54238.018334326184650.07436827589-412.056033949719
64416.50567765764631.6958293135-215.190151655905
74543.939405193684613.31729035111-69.3778851574339
84684.064257636874594.9387513887289.1255062481514
94673.460262631974576.5602124263396.9000502056438
105136.036542378574558.18167346394577.85486891463
114840.040025796274539.80313450154300.236891294725
124500.840340984994521.42459553915-20.5842545541638

\begin{tabular}{lllllllll}
\hline
Structural Time Series Model -- Extrapolation \tabularnewline
t & Observed & Level & Seasonal \tabularnewline
1 & 4919.92223801727 & 4723.58852412546 & 196.333713891805 \tabularnewline
2 & 4689.27893272699 & 4705.20998516307 & -15.9310524360752 \tabularnewline
3 & 4414.28098275451 & 4686.83144620068 & -272.550463446172 \tabularnewline
4 & 4413.6917178828 & 4668.45290723829 & -254.761189355486 \tabularnewline
5 & 4238.01833432618 & 4650.07436827589 & -412.056033949719 \tabularnewline
6 & 4416.5056776576 & 4631.6958293135 & -215.190151655905 \tabularnewline
7 & 4543.93940519368 & 4613.31729035111 & -69.3778851574339 \tabularnewline
8 & 4684.06425763687 & 4594.93875138872 & 89.1255062481514 \tabularnewline
9 & 4673.46026263197 & 4576.56021242633 & 96.9000502056438 \tabularnewline
10 & 5136.03654237857 & 4558.18167346394 & 577.85486891463 \tabularnewline
11 & 4840.04002579627 & 4539.80313450154 & 300.236891294725 \tabularnewline
12 & 4500.84034098499 & 4521.42459553915 & -20.5842545541638 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=302272&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]4919.92223801727[/C][C]4723.58852412546[/C][C]196.333713891805[/C][/ROW]
[ROW][C]2[/C][C]4689.27893272699[/C][C]4705.20998516307[/C][C]-15.9310524360752[/C][/ROW]
[ROW][C]3[/C][C]4414.28098275451[/C][C]4686.83144620068[/C][C]-272.550463446172[/C][/ROW]
[ROW][C]4[/C][C]4413.6917178828[/C][C]4668.45290723829[/C][C]-254.761189355486[/C][/ROW]
[ROW][C]5[/C][C]4238.01833432618[/C][C]4650.07436827589[/C][C]-412.056033949719[/C][/ROW]
[ROW][C]6[/C][C]4416.5056776576[/C][C]4631.6958293135[/C][C]-215.190151655905[/C][/ROW]
[ROW][C]7[/C][C]4543.93940519368[/C][C]4613.31729035111[/C][C]-69.3778851574339[/C][/ROW]
[ROW][C]8[/C][C]4684.06425763687[/C][C]4594.93875138872[/C][C]89.1255062481514[/C][/ROW]
[ROW][C]9[/C][C]4673.46026263197[/C][C]4576.56021242633[/C][C]96.9000502056438[/C][/ROW]
[ROW][C]10[/C][C]5136.03654237857[/C][C]4558.18167346394[/C][C]577.85486891463[/C][/ROW]
[ROW][C]11[/C][C]4840.04002579627[/C][C]4539.80313450154[/C][C]300.236891294725[/C][/ROW]
[ROW][C]12[/C][C]4500.84034098499[/C][C]4521.42459553915[/C][C]-20.5842545541638[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=302272&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=302272&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
14919.922238017274723.58852412546196.333713891805
24689.278932726994705.20998516307-15.9310524360752
34414.280982754514686.83144620068-272.550463446172
44413.69171788284668.45290723829-254.761189355486
54238.018334326184650.07436827589-412.056033949719
64416.50567765764631.6958293135-215.190151655905
74543.939405193684613.31729035111-69.3778851574339
84684.064257636874594.9387513887289.1255062481514
94673.460262631974576.5602124263396.9000502056438
105136.036542378574558.18167346394577.85486891463
114840.040025796274539.80313450154300.236891294725
124500.840340984994521.42459553915-20.5842545541638



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