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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 computationMon, 19 Dec 2016 23:35:21 +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/19/t1482186998c15nam9xnq1cg08.htm/, Retrieved Sat, 18 May 2024 02:05:46 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=301539, Retrieved Sat, 18 May 2024 02:05:46 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact59
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...] [2016-12-19 22:35:21] [070714f07871aeb0c40d04255feda5cb] [Current]
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Dataseries X:
5276
4874
5374
5154
5384
5188
5368
5352
5220
5394
5218
5330
5392
4904
5394
5266
5352
5200
5354
5382
5270
5438
5262
5206
5498
5148
5376
5318
5552
5312
5508
5462
5396
5522
5388
5516
5418
5054
5638
5426
5662
5414
5548
5458
5372
5562
5342
5598
5664
5138
5588
5318
5480
5174
5368
5192
4996
5220
5048
5178
5258
4698
5248
5098
5168
4968
5116
5090
4924
5186
5038
5156
5114
4856
5192
4972
5102
4902
4984
5010
4736
4974
4814
4924
4922
4362
4696
4662
4846
4574
4616
4678
4528
4620
4522
4548
4678
4198
4608
4444
4544
4264
4448
4518
4334
4676
4432
4550
4650
4276
4678
4506
4594
4392
4556
4536
4420
4612
4396
4526
4564
4286
4556
4376
4444
4300




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=301539&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=301539&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=301539&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
152765276000
248745048.67127181958-12.8809895265394-98.5564662491483-4.61078479752756
353745188.18451931888-3.16892792568263138.0942589399453.13178065510532
451545188.21216551753-3.02047060809099-35.45718839364440.0767184178480312
553845278.144480747370.061078836737834366.51931210523552.35433095351132
651885250.22301123484-0.696918043074646-50.1077294622168-0.718286916284021
753685300.088760416650.58219358273633145.91407437508361.30072045921519
853525331.475742508981.362703947326027.127665349950920.791821648106034
952205285.421422494480.13033004163997-44.8370921359554-1.21697101176948
1053945328.58646248261.2827262867036946.76981976779651.10270095312472
1152185284.572028251760.0347401012477038-46.9872849294246-1.15885313573273
1253305299.105604803410.44468907421734424.63746807519210.37037778945157
1353925307.905546377860.19489412030192880.329243766580.246122036718653
1449045206.35959713263-2.35345088395329-262.899868684051-2.50064991644616
1553945214.22483773866-1.92851279444977176.2062077779470.235053852354695
1652665266.386516348190.294240701275343-20.14444594347951.29737297449268
1753525278.405712469080.72201548728612469.10450815526470.291130058930061
1852005278.051663689250.686706533776264-77.6310017756884-0.027078613618206
1953545295.365003343611.2022459223970452.09427757061050.419803000029903
2053825325.944665886782.0998104780871244.48804310709710.741785844673381
2152705332.901254236582.24924882168313-64.81208682355530.122532208341615
2254385353.236309820562.8105116262319177.65611773186020.455789180738685
2352625341.024349504922.35267872069541-73.1260709905105-0.378000698305142
2452065269.241125812750.329705436778287-34.115025258231-1.86518738558903
2554985303.683294336960.928242037411373180.6455462112920.888918603387444
2651485360.787958149082.58036010468379-234.440175679641.40212621799608
2753765310.878806223910.60500856588804984.2850848722032-1.25911144531452
2853185319.161594033190.908583703127236-3.97058438944760.185533107350852
2955525391.866818352443.66586269294574133.2827341008011.76699370762527
3053125407.469728023354.10385541228761-100.0004637608540.296897093588224
3155085439.27643366815.0859288446563358.14548533799710.691494888374885
3254625439.126087348654.9036378120697424.8765104745824-0.130771259752831
3353965452.813594478675.20688772058687-60.17263371484950.219246936283627
3455225446.507312374484.8132807027914379.8918730915279-0.287033574937731
3553885441.559782990984.48757432955266-49.8344065423846-0.242995106896125
3655165498.009771403976.13926299659252-1.853703632574671.29557778155378
3754185406.727265998093.1977509989581348.7669525939067-2.45525363343693
3850545337.089727548560.743734010409184-255.409247621657-1.81039089065621
3956385427.268194327124.06789067293221177.5879810453942.17930372576761
4054265456.082767595835.02334268758941-39.20554739622340.602386389520784
4156625496.73979301826.39659099541368152.0001892309460.875261177703554
4254145517.271540708586.93181387347636-108.5813674166940.349757814748962
4355485510.791140767586.4333151887977642.2712896253784-0.332891092143265
4454585480.786682844735.09820433184884-9.01458145813265-0.904722215783883
4553725455.718823083774.00498318839244-72.320988387036-0.74836360480356
4655625464.065047740324.1605093853998696.29649381652320.107553503285094
4753425438.348184344843.10636351544466-85.0836005504587-0.739594387005923
4855985482.75812406624.539009551167599.65440494697871.02437487579698
4956645539.059667440336.32730824578116105.3349272124411.28922564528701
5051385507.963804523034.98666995648911-355.858601296163-0.926919519924146
5155885472.532922886563.47962368937387130.516358868963-0.990996079855184
5253185427.947139695141.64850730443268-92.1383992880808-1.17573256776367
5354805381.45308572593-0.19224436657507116.453836842138-1.1828563923117
5451745327.61763283528-2.2304276250009-133.548166191949-1.32448387520715
5553685309.61253999504-2.8241108522807164.3099937337643-0.390416803132867
5651925253.623830162-4.806391145906-41.6455303823311-1.31594891070331
5749965165.3850120408-7.89085016208284-138.054483280621-2.06290186069091
5852205130.52671488697-8.8795504620799399.5872677450312-0.665923605583161
5950485133.57658460197-8.44578040557628-90.04750525573030.294488854431602
6051785112.87150133634-8.8889376105835669.7281908789223-0.303155466926943
6152585111.4985210193-8.61666545405202143.6754588677520.186263492699556
6246985070.30244606482-9.81434434061814-360.078808336452-0.80529375241872
6352485067.29794641374-9.55965224416799178.1631073844660.167406252333813
6450985102.06448690064-7.88338683519546-20.53252356888461.08744515724925
6551685068.63146442323-8.85281401930855108.875839554193-0.628201824048025
6649685066.51394145199-8.59779316433881-101.029222443560.166138380355799
6751165039.72657569194-9.2832599158044683.0831388376299-0.449469104203209
6850905053.36387741083-8.4242536563377628.05075229385340.566343097998871
6949245050.17600872959-8.22907926001453-128.1357417654370.12924338319646
7051865063.1289016283-7.44362663218261114.9531303391490.522239560567661
7150385086.68956416359-6.29887426233345-60.27433502885940.764382044393554
7251565086.47745397664-6.074604836991867.24584515005890.150274548387956
7351145029.29939859165-7.96133121909849103.842980567407-1.26336011911778
7448565102.11990691437-4.95912011794405-276.3485182514581.99436923438043
7551925078.26495023429-5.66685957485899120.781322841957-0.465052021566141
7649725031.20197761433-7.22593598716635-43.8017388640475-1.01728835301899
7751025006.39184068848-7.889622661901102.153997639707-0.432620135992005
7849024996.38561560234-7.9694593427479-93.5959418111579-0.0521840365592458
7949844956.26463642742-9.1793886510104739.7511504127782-0.793680159678215
8050104961.17818329665-8.6506618837757943.55341498117980.347853048620663
8147364922.65767586406-9.76769498941502-175.500359125715-0.736565061295118
8249744892.2537917806-10.537137165639289.446777129306-0.508435090774093
8348144875.40651681742-10.7718955908723-59.0524015502275-0.155480876974542
8449244855.11509938696-11.125774511762872.4393984024867-0.234811125545299
8549224845.41334051816-11.072771464571876.05440329192910.0351564373656947
8643624743.91147838257-14.449198376946-348.128383825984-2.23089407213658
8746964643.12002271651-17.684814686374985.0713462670695-2.1261095855226
8846624644.98686449043-16.95012126042479.734893136580030.480942396012159
8948464677.08283179545-15.1048609542914150.6551423603381.20719937587313
9045744663.95878859272-15.0303490551598-90.69736227675990.0488220285428366
9146164618.61186783377-16.16948312616228.70522351689528-0.747882872969587
9246784605.22643470554-16.065044133054171.73411885395950.0686719827529647
9345284633.62293775974-14.4001270004597-122.2118149637851.09586214752685
9446204584.24680557196-15.707701718175948.7928086873041-0.861513420037346
9545224565.51114851748-15.8207708968826-42.3824382906519-0.0745903815238247
9645484510.15333537678-17.296674905555452.5943388174903-0.974716224341534
9746784511.74445278772-16.5911034097937159.205106891960.4659323219741
9841984504.4521525643-16.2432032656045-309.9223782910720.229292072192529
9946084511.23197948083-15.380318907625988.18643603747440.567057341382461
10044444481.5726605761-15.9162092434633-32.25572303524-0.351441717156903
10145444431.822919278-17.1868116255955124.776241700756-0.833003596989596
10242644380.0719748522-18.4848153620165-103.189411786489-0.851755391703758
10344484393.29240025433-17.294814310717142.88128790537490.781780102909595
10445184415.74724712673-15.804144699206787.42443190330410.980042647402961
10543344420.81285484572-15.0222533685641-94.59411445762110.514256870326583
10646764500.10187326012-11.4919870396598140.7546790838012.32285711209236
10744324487.62219343493-11.5289360315318-55.254179660712-0.0243285870051794
10845504489.89924038534-11.012538036622754.95418131872140.340255290774284
10946504488.32796526593-10.6592643296095158.1507168134090.232784902216202
11042764527.42060192873-8.79621567505517-269.9745156946341.22639848134123
11146784549.08797386013-7.65446997442969117.5597526115290.750395020012419
11245064535.60402748082-7.87309947163254-27.4331216912748-0.143525463145337
11345944498.57170788818-8.96706064510886106.287291528927-0.718050427080054
11443924498.60370257616-8.62944290260653-109.9568651810.221733290122425
11545564512.2950890341-7.7922477270751435.38347852836960.550206422973168
11645364493.90587367855-8.1895403564476946.0450053908379-0.261195616998507
11744204515.82462222732-7.06131930005293-107.0456384659670.74180629471731
11846124497.66897590359-7.47685003382477118.464018230386-0.273249594588514
11943964477.00758877943-7.97050976099859-76.0962173258985-0.324750919928042
12045264474.19206733276-7.7775089156089649.88699373963310.127023066023842
12145644452.7481910011-8.28927431900026116.346249141217-0.33685185690271
12242864495.42979788541-6.37982306815317-228.4293691333491.2561707707515
12345564470.67401929182-7.0685102944813692.1724724572359-0.452664472394999
12443764431.14136841962-8.28559223986287-43.051264877586-0.799445008300135
12544444385.95635959285-9.6691880902909871.7852684475408-0.908758983884919
12643004390.5667889064-9.13374886416656-95.88654616916880.351813835465162

\begin{tabular}{lllllllll}
\hline
Structural Time Series Model -- Interpolation \tabularnewline
t & Observed & Level & Slope & Seasonal & Stand. Residuals \tabularnewline
1 & 5276 & 5276 & 0 & 0 & 0 \tabularnewline
2 & 4874 & 5048.67127181958 & -12.8809895265394 & -98.5564662491483 & -4.61078479752756 \tabularnewline
3 & 5374 & 5188.18451931888 & -3.16892792568263 & 138.094258939945 & 3.13178065510532 \tabularnewline
4 & 5154 & 5188.21216551753 & -3.02047060809099 & -35.4571883936444 & 0.0767184178480312 \tabularnewline
5 & 5384 & 5278.14448074737 & 0.0610788367378343 & 66.5193121052355 & 2.35433095351132 \tabularnewline
6 & 5188 & 5250.22301123484 & -0.696918043074646 & -50.1077294622168 & -0.718286916284021 \tabularnewline
7 & 5368 & 5300.08876041665 & 0.582193582736331 & 45.9140743750836 & 1.30072045921519 \tabularnewline
8 & 5352 & 5331.47574250898 & 1.36270394732602 & 7.12766534995092 & 0.791821648106034 \tabularnewline
9 & 5220 & 5285.42142249448 & 0.13033004163997 & -44.8370921359554 & -1.21697101176948 \tabularnewline
10 & 5394 & 5328.5864624826 & 1.28272628670369 & 46.7698197677965 & 1.10270095312472 \tabularnewline
11 & 5218 & 5284.57202825176 & 0.0347401012477038 & -46.9872849294246 & -1.15885313573273 \tabularnewline
12 & 5330 & 5299.10560480341 & 0.444689074217344 & 24.6374680751921 & 0.37037778945157 \tabularnewline
13 & 5392 & 5307.90554637786 & 0.194894120301928 & 80.32924376658 & 0.246122036718653 \tabularnewline
14 & 4904 & 5206.35959713263 & -2.35345088395329 & -262.899868684051 & -2.50064991644616 \tabularnewline
15 & 5394 & 5214.22483773866 & -1.92851279444977 & 176.206207777947 & 0.235053852354695 \tabularnewline
16 & 5266 & 5266.38651634819 & 0.294240701275343 & -20.1444459434795 & 1.29737297449268 \tabularnewline
17 & 5352 & 5278.40571246908 & 0.722015487286124 & 69.1045081552647 & 0.291130058930061 \tabularnewline
18 & 5200 & 5278.05166368925 & 0.686706533776264 & -77.6310017756884 & -0.027078613618206 \tabularnewline
19 & 5354 & 5295.36500334361 & 1.20224592239704 & 52.0942775706105 & 0.419803000029903 \tabularnewline
20 & 5382 & 5325.94466588678 & 2.09981047808712 & 44.4880431070971 & 0.741785844673381 \tabularnewline
21 & 5270 & 5332.90125423658 & 2.24924882168313 & -64.8120868235553 & 0.122532208341615 \tabularnewline
22 & 5438 & 5353.23630982056 & 2.81051162623191 & 77.6561177318602 & 0.455789180738685 \tabularnewline
23 & 5262 & 5341.02434950492 & 2.35267872069541 & -73.1260709905105 & -0.378000698305142 \tabularnewline
24 & 5206 & 5269.24112581275 & 0.329705436778287 & -34.115025258231 & -1.86518738558903 \tabularnewline
25 & 5498 & 5303.68329433696 & 0.928242037411373 & 180.645546211292 & 0.888918603387444 \tabularnewline
26 & 5148 & 5360.78795814908 & 2.58036010468379 & -234.44017567964 & 1.40212621799608 \tabularnewline
27 & 5376 & 5310.87880622391 & 0.605008565888049 & 84.2850848722032 & -1.25911144531452 \tabularnewline
28 & 5318 & 5319.16159403319 & 0.908583703127236 & -3.9705843894476 & 0.185533107350852 \tabularnewline
29 & 5552 & 5391.86681835244 & 3.66586269294574 & 133.282734100801 & 1.76699370762527 \tabularnewline
30 & 5312 & 5407.46972802335 & 4.10385541228761 & -100.000463760854 & 0.296897093588224 \tabularnewline
31 & 5508 & 5439.2764336681 & 5.08592884465633 & 58.1454853379971 & 0.691494888374885 \tabularnewline
32 & 5462 & 5439.12608734865 & 4.90363781206974 & 24.8765104745824 & -0.130771259752831 \tabularnewline
33 & 5396 & 5452.81359447867 & 5.20688772058687 & -60.1726337148495 & 0.219246936283627 \tabularnewline
34 & 5522 & 5446.50731237448 & 4.81328070279143 & 79.8918730915279 & -0.287033574937731 \tabularnewline
35 & 5388 & 5441.55978299098 & 4.48757432955266 & -49.8344065423846 & -0.242995106896125 \tabularnewline
36 & 5516 & 5498.00977140397 & 6.13926299659252 & -1.85370363257467 & 1.29557778155378 \tabularnewline
37 & 5418 & 5406.72726599809 & 3.19775099895813 & 48.7669525939067 & -2.45525363343693 \tabularnewline
38 & 5054 & 5337.08972754856 & 0.743734010409184 & -255.409247621657 & -1.81039089065621 \tabularnewline
39 & 5638 & 5427.26819432712 & 4.06789067293221 & 177.587981045394 & 2.17930372576761 \tabularnewline
40 & 5426 & 5456.08276759583 & 5.02334268758941 & -39.2055473962234 & 0.602386389520784 \tabularnewline
41 & 5662 & 5496.7397930182 & 6.39659099541368 & 152.000189230946 & 0.875261177703554 \tabularnewline
42 & 5414 & 5517.27154070858 & 6.93181387347636 & -108.581367416694 & 0.349757814748962 \tabularnewline
43 & 5548 & 5510.79114076758 & 6.43331518879776 & 42.2712896253784 & -0.332891092143265 \tabularnewline
44 & 5458 & 5480.78668284473 & 5.09820433184884 & -9.01458145813265 & -0.904722215783883 \tabularnewline
45 & 5372 & 5455.71882308377 & 4.00498318839244 & -72.320988387036 & -0.74836360480356 \tabularnewline
46 & 5562 & 5464.06504774032 & 4.16050938539986 & 96.2964938165232 & 0.107553503285094 \tabularnewline
47 & 5342 & 5438.34818434484 & 3.10636351544466 & -85.0836005504587 & -0.739594387005923 \tabularnewline
48 & 5598 & 5482.7581240662 & 4.5390095511675 & 99.6544049469787 & 1.02437487579698 \tabularnewline
49 & 5664 & 5539.05966744033 & 6.32730824578116 & 105.334927212441 & 1.28922564528701 \tabularnewline
50 & 5138 & 5507.96380452303 & 4.98666995648911 & -355.858601296163 & -0.926919519924146 \tabularnewline
51 & 5588 & 5472.53292288656 & 3.47962368937387 & 130.516358868963 & -0.990996079855184 \tabularnewline
52 & 5318 & 5427.94713969514 & 1.64850730443268 & -92.1383992880808 & -1.17573256776367 \tabularnewline
53 & 5480 & 5381.45308572593 & -0.19224436657507 & 116.453836842138 & -1.1828563923117 \tabularnewline
54 & 5174 & 5327.61763283528 & -2.2304276250009 & -133.548166191949 & -1.32448387520715 \tabularnewline
55 & 5368 & 5309.61253999504 & -2.82411085228071 & 64.3099937337643 & -0.390416803132867 \tabularnewline
56 & 5192 & 5253.623830162 & -4.806391145906 & -41.6455303823311 & -1.31594891070331 \tabularnewline
57 & 4996 & 5165.3850120408 & -7.89085016208284 & -138.054483280621 & -2.06290186069091 \tabularnewline
58 & 5220 & 5130.52671488697 & -8.87955046207993 & 99.5872677450312 & -0.665923605583161 \tabularnewline
59 & 5048 & 5133.57658460197 & -8.44578040557628 & -90.0475052557303 & 0.294488854431602 \tabularnewline
60 & 5178 & 5112.87150133634 & -8.88893761058356 & 69.7281908789223 & -0.303155466926943 \tabularnewline
61 & 5258 & 5111.4985210193 & -8.61666545405202 & 143.675458867752 & 0.186263492699556 \tabularnewline
62 & 4698 & 5070.30244606482 & -9.81434434061814 & -360.078808336452 & -0.80529375241872 \tabularnewline
63 & 5248 & 5067.29794641374 & -9.55965224416799 & 178.163107384466 & 0.167406252333813 \tabularnewline
64 & 5098 & 5102.06448690064 & -7.88338683519546 & -20.5325235688846 & 1.08744515724925 \tabularnewline
65 & 5168 & 5068.63146442323 & -8.85281401930855 & 108.875839554193 & -0.628201824048025 \tabularnewline
66 & 4968 & 5066.51394145199 & -8.59779316433881 & -101.02922244356 & 0.166138380355799 \tabularnewline
67 & 5116 & 5039.72657569194 & -9.28325991580446 & 83.0831388376299 & -0.449469104203209 \tabularnewline
68 & 5090 & 5053.36387741083 & -8.42425365633776 & 28.0507522938534 & 0.566343097998871 \tabularnewline
69 & 4924 & 5050.17600872959 & -8.22907926001453 & -128.135741765437 & 0.12924338319646 \tabularnewline
70 & 5186 & 5063.1289016283 & -7.44362663218261 & 114.953130339149 & 0.522239560567661 \tabularnewline
71 & 5038 & 5086.68956416359 & -6.29887426233345 & -60.2743350288594 & 0.764382044393554 \tabularnewline
72 & 5156 & 5086.47745397664 & -6.0746048369918 & 67.2458451500589 & 0.150274548387956 \tabularnewline
73 & 5114 & 5029.29939859165 & -7.96133121909849 & 103.842980567407 & -1.26336011911778 \tabularnewline
74 & 4856 & 5102.11990691437 & -4.95912011794405 & -276.348518251458 & 1.99436923438043 \tabularnewline
75 & 5192 & 5078.26495023429 & -5.66685957485899 & 120.781322841957 & -0.465052021566141 \tabularnewline
76 & 4972 & 5031.20197761433 & -7.22593598716635 & -43.8017388640475 & -1.01728835301899 \tabularnewline
77 & 5102 & 5006.39184068848 & -7.889622661901 & 102.153997639707 & -0.432620135992005 \tabularnewline
78 & 4902 & 4996.38561560234 & -7.9694593427479 & -93.5959418111579 & -0.0521840365592458 \tabularnewline
79 & 4984 & 4956.26463642742 & -9.17938865101047 & 39.7511504127782 & -0.793680159678215 \tabularnewline
80 & 5010 & 4961.17818329665 & -8.65066188377579 & 43.5534149811798 & 0.347853048620663 \tabularnewline
81 & 4736 & 4922.65767586406 & -9.76769498941502 & -175.500359125715 & -0.736565061295118 \tabularnewline
82 & 4974 & 4892.2537917806 & -10.5371371656392 & 89.446777129306 & -0.508435090774093 \tabularnewline
83 & 4814 & 4875.40651681742 & -10.7718955908723 & -59.0524015502275 & -0.155480876974542 \tabularnewline
84 & 4924 & 4855.11509938696 & -11.1257745117628 & 72.4393984024867 & -0.234811125545299 \tabularnewline
85 & 4922 & 4845.41334051816 & -11.0727714645718 & 76.0544032919291 & 0.0351564373656947 \tabularnewline
86 & 4362 & 4743.91147838257 & -14.449198376946 & -348.128383825984 & -2.23089407213658 \tabularnewline
87 & 4696 & 4643.12002271651 & -17.6848146863749 & 85.0713462670695 & -2.1261095855226 \tabularnewline
88 & 4662 & 4644.98686449043 & -16.9501212604247 & 9.73489313658003 & 0.480942396012159 \tabularnewline
89 & 4846 & 4677.08283179545 & -15.1048609542914 & 150.655142360338 & 1.20719937587313 \tabularnewline
90 & 4574 & 4663.95878859272 & -15.0303490551598 & -90.6973622767599 & 0.0488220285428366 \tabularnewline
91 & 4616 & 4618.61186783377 & -16.1694831261622 & 8.70522351689528 & -0.747882872969587 \tabularnewline
92 & 4678 & 4605.22643470554 & -16.0650441330541 & 71.7341188539595 & 0.0686719827529647 \tabularnewline
93 & 4528 & 4633.62293775974 & -14.4001270004597 & -122.211814963785 & 1.09586214752685 \tabularnewline
94 & 4620 & 4584.24680557196 & -15.7077017181759 & 48.7928086873041 & -0.861513420037346 \tabularnewline
95 & 4522 & 4565.51114851748 & -15.8207708968826 & -42.3824382906519 & -0.0745903815238247 \tabularnewline
96 & 4548 & 4510.15333537678 & -17.2966749055554 & 52.5943388174903 & -0.974716224341534 \tabularnewline
97 & 4678 & 4511.74445278772 & -16.5911034097937 & 159.20510689196 & 0.4659323219741 \tabularnewline
98 & 4198 & 4504.4521525643 & -16.2432032656045 & -309.922378291072 & 0.229292072192529 \tabularnewline
99 & 4608 & 4511.23197948083 & -15.3803189076259 & 88.1864360374744 & 0.567057341382461 \tabularnewline
100 & 4444 & 4481.5726605761 & -15.9162092434633 & -32.25572303524 & -0.351441717156903 \tabularnewline
101 & 4544 & 4431.822919278 & -17.1868116255955 & 124.776241700756 & -0.833003596989596 \tabularnewline
102 & 4264 & 4380.0719748522 & -18.4848153620165 & -103.189411786489 & -0.851755391703758 \tabularnewline
103 & 4448 & 4393.29240025433 & -17.2948143107171 & 42.8812879053749 & 0.781780102909595 \tabularnewline
104 & 4518 & 4415.74724712673 & -15.8041446992067 & 87.4244319033041 & 0.980042647402961 \tabularnewline
105 & 4334 & 4420.81285484572 & -15.0222533685641 & -94.5941144576211 & 0.514256870326583 \tabularnewline
106 & 4676 & 4500.10187326012 & -11.4919870396598 & 140.754679083801 & 2.32285711209236 \tabularnewline
107 & 4432 & 4487.62219343493 & -11.5289360315318 & -55.254179660712 & -0.0243285870051794 \tabularnewline
108 & 4550 & 4489.89924038534 & -11.0125380366227 & 54.9541813187214 & 0.340255290774284 \tabularnewline
109 & 4650 & 4488.32796526593 & -10.6592643296095 & 158.150716813409 & 0.232784902216202 \tabularnewline
110 & 4276 & 4527.42060192873 & -8.79621567505517 & -269.974515694634 & 1.22639848134123 \tabularnewline
111 & 4678 & 4549.08797386013 & -7.65446997442969 & 117.559752611529 & 0.750395020012419 \tabularnewline
112 & 4506 & 4535.60402748082 & -7.87309947163254 & -27.4331216912748 & -0.143525463145337 \tabularnewline
113 & 4594 & 4498.57170788818 & -8.96706064510886 & 106.287291528927 & -0.718050427080054 \tabularnewline
114 & 4392 & 4498.60370257616 & -8.62944290260653 & -109.956865181 & 0.221733290122425 \tabularnewline
115 & 4556 & 4512.2950890341 & -7.79224772707514 & 35.3834785283696 & 0.550206422973168 \tabularnewline
116 & 4536 & 4493.90587367855 & -8.18954035644769 & 46.0450053908379 & -0.261195616998507 \tabularnewline
117 & 4420 & 4515.82462222732 & -7.06131930005293 & -107.045638465967 & 0.74180629471731 \tabularnewline
118 & 4612 & 4497.66897590359 & -7.47685003382477 & 118.464018230386 & -0.273249594588514 \tabularnewline
119 & 4396 & 4477.00758877943 & -7.97050976099859 & -76.0962173258985 & -0.324750919928042 \tabularnewline
120 & 4526 & 4474.19206733276 & -7.77750891560896 & 49.8869937396331 & 0.127023066023842 \tabularnewline
121 & 4564 & 4452.7481910011 & -8.28927431900026 & 116.346249141217 & -0.33685185690271 \tabularnewline
122 & 4286 & 4495.42979788541 & -6.37982306815317 & -228.429369133349 & 1.2561707707515 \tabularnewline
123 & 4556 & 4470.67401929182 & -7.06851029448136 & 92.1724724572359 & -0.452664472394999 \tabularnewline
124 & 4376 & 4431.14136841962 & -8.28559223986287 & -43.051264877586 & -0.799445008300135 \tabularnewline
125 & 4444 & 4385.95635959285 & -9.66918809029098 & 71.7852684475408 & -0.908758983884919 \tabularnewline
126 & 4300 & 4390.5667889064 & -9.13374886416656 & -95.8865461691688 & 0.351813835465162 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=301539&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]5276[/C][C]5276[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]4874[/C][C]5048.67127181958[/C][C]-12.8809895265394[/C][C]-98.5564662491483[/C][C]-4.61078479752756[/C][/ROW]
[ROW][C]3[/C][C]5374[/C][C]5188.18451931888[/C][C]-3.16892792568263[/C][C]138.094258939945[/C][C]3.13178065510532[/C][/ROW]
[ROW][C]4[/C][C]5154[/C][C]5188.21216551753[/C][C]-3.02047060809099[/C][C]-35.4571883936444[/C][C]0.0767184178480312[/C][/ROW]
[ROW][C]5[/C][C]5384[/C][C]5278.14448074737[/C][C]0.0610788367378343[/C][C]66.5193121052355[/C][C]2.35433095351132[/C][/ROW]
[ROW][C]6[/C][C]5188[/C][C]5250.22301123484[/C][C]-0.696918043074646[/C][C]-50.1077294622168[/C][C]-0.718286916284021[/C][/ROW]
[ROW][C]7[/C][C]5368[/C][C]5300.08876041665[/C][C]0.582193582736331[/C][C]45.9140743750836[/C][C]1.30072045921519[/C][/ROW]
[ROW][C]8[/C][C]5352[/C][C]5331.47574250898[/C][C]1.36270394732602[/C][C]7.12766534995092[/C][C]0.791821648106034[/C][/ROW]
[ROW][C]9[/C][C]5220[/C][C]5285.42142249448[/C][C]0.13033004163997[/C][C]-44.8370921359554[/C][C]-1.21697101176948[/C][/ROW]
[ROW][C]10[/C][C]5394[/C][C]5328.5864624826[/C][C]1.28272628670369[/C][C]46.7698197677965[/C][C]1.10270095312472[/C][/ROW]
[ROW][C]11[/C][C]5218[/C][C]5284.57202825176[/C][C]0.0347401012477038[/C][C]-46.9872849294246[/C][C]-1.15885313573273[/C][/ROW]
[ROW][C]12[/C][C]5330[/C][C]5299.10560480341[/C][C]0.444689074217344[/C][C]24.6374680751921[/C][C]0.37037778945157[/C][/ROW]
[ROW][C]13[/C][C]5392[/C][C]5307.90554637786[/C][C]0.194894120301928[/C][C]80.32924376658[/C][C]0.246122036718653[/C][/ROW]
[ROW][C]14[/C][C]4904[/C][C]5206.35959713263[/C][C]-2.35345088395329[/C][C]-262.899868684051[/C][C]-2.50064991644616[/C][/ROW]
[ROW][C]15[/C][C]5394[/C][C]5214.22483773866[/C][C]-1.92851279444977[/C][C]176.206207777947[/C][C]0.235053852354695[/C][/ROW]
[ROW][C]16[/C][C]5266[/C][C]5266.38651634819[/C][C]0.294240701275343[/C][C]-20.1444459434795[/C][C]1.29737297449268[/C][/ROW]
[ROW][C]17[/C][C]5352[/C][C]5278.40571246908[/C][C]0.722015487286124[/C][C]69.1045081552647[/C][C]0.291130058930061[/C][/ROW]
[ROW][C]18[/C][C]5200[/C][C]5278.05166368925[/C][C]0.686706533776264[/C][C]-77.6310017756884[/C][C]-0.027078613618206[/C][/ROW]
[ROW][C]19[/C][C]5354[/C][C]5295.36500334361[/C][C]1.20224592239704[/C][C]52.0942775706105[/C][C]0.419803000029903[/C][/ROW]
[ROW][C]20[/C][C]5382[/C][C]5325.94466588678[/C][C]2.09981047808712[/C][C]44.4880431070971[/C][C]0.741785844673381[/C][/ROW]
[ROW][C]21[/C][C]5270[/C][C]5332.90125423658[/C][C]2.24924882168313[/C][C]-64.8120868235553[/C][C]0.122532208341615[/C][/ROW]
[ROW][C]22[/C][C]5438[/C][C]5353.23630982056[/C][C]2.81051162623191[/C][C]77.6561177318602[/C][C]0.455789180738685[/C][/ROW]
[ROW][C]23[/C][C]5262[/C][C]5341.02434950492[/C][C]2.35267872069541[/C][C]-73.1260709905105[/C][C]-0.378000698305142[/C][/ROW]
[ROW][C]24[/C][C]5206[/C][C]5269.24112581275[/C][C]0.329705436778287[/C][C]-34.115025258231[/C][C]-1.86518738558903[/C][/ROW]
[ROW][C]25[/C][C]5498[/C][C]5303.68329433696[/C][C]0.928242037411373[/C][C]180.645546211292[/C][C]0.888918603387444[/C][/ROW]
[ROW][C]26[/C][C]5148[/C][C]5360.78795814908[/C][C]2.58036010468379[/C][C]-234.44017567964[/C][C]1.40212621799608[/C][/ROW]
[ROW][C]27[/C][C]5376[/C][C]5310.87880622391[/C][C]0.605008565888049[/C][C]84.2850848722032[/C][C]-1.25911144531452[/C][/ROW]
[ROW][C]28[/C][C]5318[/C][C]5319.16159403319[/C][C]0.908583703127236[/C][C]-3.9705843894476[/C][C]0.185533107350852[/C][/ROW]
[ROW][C]29[/C][C]5552[/C][C]5391.86681835244[/C][C]3.66586269294574[/C][C]133.282734100801[/C][C]1.76699370762527[/C][/ROW]
[ROW][C]30[/C][C]5312[/C][C]5407.46972802335[/C][C]4.10385541228761[/C][C]-100.000463760854[/C][C]0.296897093588224[/C][/ROW]
[ROW][C]31[/C][C]5508[/C][C]5439.2764336681[/C][C]5.08592884465633[/C][C]58.1454853379971[/C][C]0.691494888374885[/C][/ROW]
[ROW][C]32[/C][C]5462[/C][C]5439.12608734865[/C][C]4.90363781206974[/C][C]24.8765104745824[/C][C]-0.130771259752831[/C][/ROW]
[ROW][C]33[/C][C]5396[/C][C]5452.81359447867[/C][C]5.20688772058687[/C][C]-60.1726337148495[/C][C]0.219246936283627[/C][/ROW]
[ROW][C]34[/C][C]5522[/C][C]5446.50731237448[/C][C]4.81328070279143[/C][C]79.8918730915279[/C][C]-0.287033574937731[/C][/ROW]
[ROW][C]35[/C][C]5388[/C][C]5441.55978299098[/C][C]4.48757432955266[/C][C]-49.8344065423846[/C][C]-0.242995106896125[/C][/ROW]
[ROW][C]36[/C][C]5516[/C][C]5498.00977140397[/C][C]6.13926299659252[/C][C]-1.85370363257467[/C][C]1.29557778155378[/C][/ROW]
[ROW][C]37[/C][C]5418[/C][C]5406.72726599809[/C][C]3.19775099895813[/C][C]48.7669525939067[/C][C]-2.45525363343693[/C][/ROW]
[ROW][C]38[/C][C]5054[/C][C]5337.08972754856[/C][C]0.743734010409184[/C][C]-255.409247621657[/C][C]-1.81039089065621[/C][/ROW]
[ROW][C]39[/C][C]5638[/C][C]5427.26819432712[/C][C]4.06789067293221[/C][C]177.587981045394[/C][C]2.17930372576761[/C][/ROW]
[ROW][C]40[/C][C]5426[/C][C]5456.08276759583[/C][C]5.02334268758941[/C][C]-39.2055473962234[/C][C]0.602386389520784[/C][/ROW]
[ROW][C]41[/C][C]5662[/C][C]5496.7397930182[/C][C]6.39659099541368[/C][C]152.000189230946[/C][C]0.875261177703554[/C][/ROW]
[ROW][C]42[/C][C]5414[/C][C]5517.27154070858[/C][C]6.93181387347636[/C][C]-108.581367416694[/C][C]0.349757814748962[/C][/ROW]
[ROW][C]43[/C][C]5548[/C][C]5510.79114076758[/C][C]6.43331518879776[/C][C]42.2712896253784[/C][C]-0.332891092143265[/C][/ROW]
[ROW][C]44[/C][C]5458[/C][C]5480.78668284473[/C][C]5.09820433184884[/C][C]-9.01458145813265[/C][C]-0.904722215783883[/C][/ROW]
[ROW][C]45[/C][C]5372[/C][C]5455.71882308377[/C][C]4.00498318839244[/C][C]-72.320988387036[/C][C]-0.74836360480356[/C][/ROW]
[ROW][C]46[/C][C]5562[/C][C]5464.06504774032[/C][C]4.16050938539986[/C][C]96.2964938165232[/C][C]0.107553503285094[/C][/ROW]
[ROW][C]47[/C][C]5342[/C][C]5438.34818434484[/C][C]3.10636351544466[/C][C]-85.0836005504587[/C][C]-0.739594387005923[/C][/ROW]
[ROW][C]48[/C][C]5598[/C][C]5482.7581240662[/C][C]4.5390095511675[/C][C]99.6544049469787[/C][C]1.02437487579698[/C][/ROW]
[ROW][C]49[/C][C]5664[/C][C]5539.05966744033[/C][C]6.32730824578116[/C][C]105.334927212441[/C][C]1.28922564528701[/C][/ROW]
[ROW][C]50[/C][C]5138[/C][C]5507.96380452303[/C][C]4.98666995648911[/C][C]-355.858601296163[/C][C]-0.926919519924146[/C][/ROW]
[ROW][C]51[/C][C]5588[/C][C]5472.53292288656[/C][C]3.47962368937387[/C][C]130.516358868963[/C][C]-0.990996079855184[/C][/ROW]
[ROW][C]52[/C][C]5318[/C][C]5427.94713969514[/C][C]1.64850730443268[/C][C]-92.1383992880808[/C][C]-1.17573256776367[/C][/ROW]
[ROW][C]53[/C][C]5480[/C][C]5381.45308572593[/C][C]-0.19224436657507[/C][C]116.453836842138[/C][C]-1.1828563923117[/C][/ROW]
[ROW][C]54[/C][C]5174[/C][C]5327.61763283528[/C][C]-2.2304276250009[/C][C]-133.548166191949[/C][C]-1.32448387520715[/C][/ROW]
[ROW][C]55[/C][C]5368[/C][C]5309.61253999504[/C][C]-2.82411085228071[/C][C]64.3099937337643[/C][C]-0.390416803132867[/C][/ROW]
[ROW][C]56[/C][C]5192[/C][C]5253.623830162[/C][C]-4.806391145906[/C][C]-41.6455303823311[/C][C]-1.31594891070331[/C][/ROW]
[ROW][C]57[/C][C]4996[/C][C]5165.3850120408[/C][C]-7.89085016208284[/C][C]-138.054483280621[/C][C]-2.06290186069091[/C][/ROW]
[ROW][C]58[/C][C]5220[/C][C]5130.52671488697[/C][C]-8.87955046207993[/C][C]99.5872677450312[/C][C]-0.665923605583161[/C][/ROW]
[ROW][C]59[/C][C]5048[/C][C]5133.57658460197[/C][C]-8.44578040557628[/C][C]-90.0475052557303[/C][C]0.294488854431602[/C][/ROW]
[ROW][C]60[/C][C]5178[/C][C]5112.87150133634[/C][C]-8.88893761058356[/C][C]69.7281908789223[/C][C]-0.303155466926943[/C][/ROW]
[ROW][C]61[/C][C]5258[/C][C]5111.4985210193[/C][C]-8.61666545405202[/C][C]143.675458867752[/C][C]0.186263492699556[/C][/ROW]
[ROW][C]62[/C][C]4698[/C][C]5070.30244606482[/C][C]-9.81434434061814[/C][C]-360.078808336452[/C][C]-0.80529375241872[/C][/ROW]
[ROW][C]63[/C][C]5248[/C][C]5067.29794641374[/C][C]-9.55965224416799[/C][C]178.163107384466[/C][C]0.167406252333813[/C][/ROW]
[ROW][C]64[/C][C]5098[/C][C]5102.06448690064[/C][C]-7.88338683519546[/C][C]-20.5325235688846[/C][C]1.08744515724925[/C][/ROW]
[ROW][C]65[/C][C]5168[/C][C]5068.63146442323[/C][C]-8.85281401930855[/C][C]108.875839554193[/C][C]-0.628201824048025[/C][/ROW]
[ROW][C]66[/C][C]4968[/C][C]5066.51394145199[/C][C]-8.59779316433881[/C][C]-101.02922244356[/C][C]0.166138380355799[/C][/ROW]
[ROW][C]67[/C][C]5116[/C][C]5039.72657569194[/C][C]-9.28325991580446[/C][C]83.0831388376299[/C][C]-0.449469104203209[/C][/ROW]
[ROW][C]68[/C][C]5090[/C][C]5053.36387741083[/C][C]-8.42425365633776[/C][C]28.0507522938534[/C][C]0.566343097998871[/C][/ROW]
[ROW][C]69[/C][C]4924[/C][C]5050.17600872959[/C][C]-8.22907926001453[/C][C]-128.135741765437[/C][C]0.12924338319646[/C][/ROW]
[ROW][C]70[/C][C]5186[/C][C]5063.1289016283[/C][C]-7.44362663218261[/C][C]114.953130339149[/C][C]0.522239560567661[/C][/ROW]
[ROW][C]71[/C][C]5038[/C][C]5086.68956416359[/C][C]-6.29887426233345[/C][C]-60.2743350288594[/C][C]0.764382044393554[/C][/ROW]
[ROW][C]72[/C][C]5156[/C][C]5086.47745397664[/C][C]-6.0746048369918[/C][C]67.2458451500589[/C][C]0.150274548387956[/C][/ROW]
[ROW][C]73[/C][C]5114[/C][C]5029.29939859165[/C][C]-7.96133121909849[/C][C]103.842980567407[/C][C]-1.26336011911778[/C][/ROW]
[ROW][C]74[/C][C]4856[/C][C]5102.11990691437[/C][C]-4.95912011794405[/C][C]-276.348518251458[/C][C]1.99436923438043[/C][/ROW]
[ROW][C]75[/C][C]5192[/C][C]5078.26495023429[/C][C]-5.66685957485899[/C][C]120.781322841957[/C][C]-0.465052021566141[/C][/ROW]
[ROW][C]76[/C][C]4972[/C][C]5031.20197761433[/C][C]-7.22593598716635[/C][C]-43.8017388640475[/C][C]-1.01728835301899[/C][/ROW]
[ROW][C]77[/C][C]5102[/C][C]5006.39184068848[/C][C]-7.889622661901[/C][C]102.153997639707[/C][C]-0.432620135992005[/C][/ROW]
[ROW][C]78[/C][C]4902[/C][C]4996.38561560234[/C][C]-7.9694593427479[/C][C]-93.5959418111579[/C][C]-0.0521840365592458[/C][/ROW]
[ROW][C]79[/C][C]4984[/C][C]4956.26463642742[/C][C]-9.17938865101047[/C][C]39.7511504127782[/C][C]-0.793680159678215[/C][/ROW]
[ROW][C]80[/C][C]5010[/C][C]4961.17818329665[/C][C]-8.65066188377579[/C][C]43.5534149811798[/C][C]0.347853048620663[/C][/ROW]
[ROW][C]81[/C][C]4736[/C][C]4922.65767586406[/C][C]-9.76769498941502[/C][C]-175.500359125715[/C][C]-0.736565061295118[/C][/ROW]
[ROW][C]82[/C][C]4974[/C][C]4892.2537917806[/C][C]-10.5371371656392[/C][C]89.446777129306[/C][C]-0.508435090774093[/C][/ROW]
[ROW][C]83[/C][C]4814[/C][C]4875.40651681742[/C][C]-10.7718955908723[/C][C]-59.0524015502275[/C][C]-0.155480876974542[/C][/ROW]
[ROW][C]84[/C][C]4924[/C][C]4855.11509938696[/C][C]-11.1257745117628[/C][C]72.4393984024867[/C][C]-0.234811125545299[/C][/ROW]
[ROW][C]85[/C][C]4922[/C][C]4845.41334051816[/C][C]-11.0727714645718[/C][C]76.0544032919291[/C][C]0.0351564373656947[/C][/ROW]
[ROW][C]86[/C][C]4362[/C][C]4743.91147838257[/C][C]-14.449198376946[/C][C]-348.128383825984[/C][C]-2.23089407213658[/C][/ROW]
[ROW][C]87[/C][C]4696[/C][C]4643.12002271651[/C][C]-17.6848146863749[/C][C]85.0713462670695[/C][C]-2.1261095855226[/C][/ROW]
[ROW][C]88[/C][C]4662[/C][C]4644.98686449043[/C][C]-16.9501212604247[/C][C]9.73489313658003[/C][C]0.480942396012159[/C][/ROW]
[ROW][C]89[/C][C]4846[/C][C]4677.08283179545[/C][C]-15.1048609542914[/C][C]150.655142360338[/C][C]1.20719937587313[/C][/ROW]
[ROW][C]90[/C][C]4574[/C][C]4663.95878859272[/C][C]-15.0303490551598[/C][C]-90.6973622767599[/C][C]0.0488220285428366[/C][/ROW]
[ROW][C]91[/C][C]4616[/C][C]4618.61186783377[/C][C]-16.1694831261622[/C][C]8.70522351689528[/C][C]-0.747882872969587[/C][/ROW]
[ROW][C]92[/C][C]4678[/C][C]4605.22643470554[/C][C]-16.0650441330541[/C][C]71.7341188539595[/C][C]0.0686719827529647[/C][/ROW]
[ROW][C]93[/C][C]4528[/C][C]4633.62293775974[/C][C]-14.4001270004597[/C][C]-122.211814963785[/C][C]1.09586214752685[/C][/ROW]
[ROW][C]94[/C][C]4620[/C][C]4584.24680557196[/C][C]-15.7077017181759[/C][C]48.7928086873041[/C][C]-0.861513420037346[/C][/ROW]
[ROW][C]95[/C][C]4522[/C][C]4565.51114851748[/C][C]-15.8207708968826[/C][C]-42.3824382906519[/C][C]-0.0745903815238247[/C][/ROW]
[ROW][C]96[/C][C]4548[/C][C]4510.15333537678[/C][C]-17.2966749055554[/C][C]52.5943388174903[/C][C]-0.974716224341534[/C][/ROW]
[ROW][C]97[/C][C]4678[/C][C]4511.74445278772[/C][C]-16.5911034097937[/C][C]159.20510689196[/C][C]0.4659323219741[/C][/ROW]
[ROW][C]98[/C][C]4198[/C][C]4504.4521525643[/C][C]-16.2432032656045[/C][C]-309.922378291072[/C][C]0.229292072192529[/C][/ROW]
[ROW][C]99[/C][C]4608[/C][C]4511.23197948083[/C][C]-15.3803189076259[/C][C]88.1864360374744[/C][C]0.567057341382461[/C][/ROW]
[ROW][C]100[/C][C]4444[/C][C]4481.5726605761[/C][C]-15.9162092434633[/C][C]-32.25572303524[/C][C]-0.351441717156903[/C][/ROW]
[ROW][C]101[/C][C]4544[/C][C]4431.822919278[/C][C]-17.1868116255955[/C][C]124.776241700756[/C][C]-0.833003596989596[/C][/ROW]
[ROW][C]102[/C][C]4264[/C][C]4380.0719748522[/C][C]-18.4848153620165[/C][C]-103.189411786489[/C][C]-0.851755391703758[/C][/ROW]
[ROW][C]103[/C][C]4448[/C][C]4393.29240025433[/C][C]-17.2948143107171[/C][C]42.8812879053749[/C][C]0.781780102909595[/C][/ROW]
[ROW][C]104[/C][C]4518[/C][C]4415.74724712673[/C][C]-15.8041446992067[/C][C]87.4244319033041[/C][C]0.980042647402961[/C][/ROW]
[ROW][C]105[/C][C]4334[/C][C]4420.81285484572[/C][C]-15.0222533685641[/C][C]-94.5941144576211[/C][C]0.514256870326583[/C][/ROW]
[ROW][C]106[/C][C]4676[/C][C]4500.10187326012[/C][C]-11.4919870396598[/C][C]140.754679083801[/C][C]2.32285711209236[/C][/ROW]
[ROW][C]107[/C][C]4432[/C][C]4487.62219343493[/C][C]-11.5289360315318[/C][C]-55.254179660712[/C][C]-0.0243285870051794[/C][/ROW]
[ROW][C]108[/C][C]4550[/C][C]4489.89924038534[/C][C]-11.0125380366227[/C][C]54.9541813187214[/C][C]0.340255290774284[/C][/ROW]
[ROW][C]109[/C][C]4650[/C][C]4488.32796526593[/C][C]-10.6592643296095[/C][C]158.150716813409[/C][C]0.232784902216202[/C][/ROW]
[ROW][C]110[/C][C]4276[/C][C]4527.42060192873[/C][C]-8.79621567505517[/C][C]-269.974515694634[/C][C]1.22639848134123[/C][/ROW]
[ROW][C]111[/C][C]4678[/C][C]4549.08797386013[/C][C]-7.65446997442969[/C][C]117.559752611529[/C][C]0.750395020012419[/C][/ROW]
[ROW][C]112[/C][C]4506[/C][C]4535.60402748082[/C][C]-7.87309947163254[/C][C]-27.4331216912748[/C][C]-0.143525463145337[/C][/ROW]
[ROW][C]113[/C][C]4594[/C][C]4498.57170788818[/C][C]-8.96706064510886[/C][C]106.287291528927[/C][C]-0.718050427080054[/C][/ROW]
[ROW][C]114[/C][C]4392[/C][C]4498.60370257616[/C][C]-8.62944290260653[/C][C]-109.956865181[/C][C]0.221733290122425[/C][/ROW]
[ROW][C]115[/C][C]4556[/C][C]4512.2950890341[/C][C]-7.79224772707514[/C][C]35.3834785283696[/C][C]0.550206422973168[/C][/ROW]
[ROW][C]116[/C][C]4536[/C][C]4493.90587367855[/C][C]-8.18954035644769[/C][C]46.0450053908379[/C][C]-0.261195616998507[/C][/ROW]
[ROW][C]117[/C][C]4420[/C][C]4515.82462222732[/C][C]-7.06131930005293[/C][C]-107.045638465967[/C][C]0.74180629471731[/C][/ROW]
[ROW][C]118[/C][C]4612[/C][C]4497.66897590359[/C][C]-7.47685003382477[/C][C]118.464018230386[/C][C]-0.273249594588514[/C][/ROW]
[ROW][C]119[/C][C]4396[/C][C]4477.00758877943[/C][C]-7.97050976099859[/C][C]-76.0962173258985[/C][C]-0.324750919928042[/C][/ROW]
[ROW][C]120[/C][C]4526[/C][C]4474.19206733276[/C][C]-7.77750891560896[/C][C]49.8869937396331[/C][C]0.127023066023842[/C][/ROW]
[ROW][C]121[/C][C]4564[/C][C]4452.7481910011[/C][C]-8.28927431900026[/C][C]116.346249141217[/C][C]-0.33685185690271[/C][/ROW]
[ROW][C]122[/C][C]4286[/C][C]4495.42979788541[/C][C]-6.37982306815317[/C][C]-228.429369133349[/C][C]1.2561707707515[/C][/ROW]
[ROW][C]123[/C][C]4556[/C][C]4470.67401929182[/C][C]-7.06851029448136[/C][C]92.1724724572359[/C][C]-0.452664472394999[/C][/ROW]
[ROW][C]124[/C][C]4376[/C][C]4431.14136841962[/C][C]-8.28559223986287[/C][C]-43.051264877586[/C][C]-0.799445008300135[/C][/ROW]
[ROW][C]125[/C][C]4444[/C][C]4385.95635959285[/C][C]-9.66918809029098[/C][C]71.7852684475408[/C][C]-0.908758983884919[/C][/ROW]
[ROW][C]126[/C][C]4300[/C][C]4390.5667889064[/C][C]-9.13374886416656[/C][C]-95.8865461691688[/C][C]0.351813835465162[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=301539&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=301539&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
152765276000
248745048.67127181958-12.8809895265394-98.5564662491483-4.61078479752756
353745188.18451931888-3.16892792568263138.0942589399453.13178065510532
451545188.21216551753-3.02047060809099-35.45718839364440.0767184178480312
553845278.144480747370.061078836737834366.51931210523552.35433095351132
651885250.22301123484-0.696918043074646-50.1077294622168-0.718286916284021
753685300.088760416650.58219358273633145.91407437508361.30072045921519
853525331.475742508981.362703947326027.127665349950920.791821648106034
952205285.421422494480.13033004163997-44.8370921359554-1.21697101176948
1053945328.58646248261.2827262867036946.76981976779651.10270095312472
1152185284.572028251760.0347401012477038-46.9872849294246-1.15885313573273
1253305299.105604803410.44468907421734424.63746807519210.37037778945157
1353925307.905546377860.19489412030192880.329243766580.246122036718653
1449045206.35959713263-2.35345088395329-262.899868684051-2.50064991644616
1553945214.22483773866-1.92851279444977176.2062077779470.235053852354695
1652665266.386516348190.294240701275343-20.14444594347951.29737297449268
1753525278.405712469080.72201548728612469.10450815526470.291130058930061
1852005278.051663689250.686706533776264-77.6310017756884-0.027078613618206
1953545295.365003343611.2022459223970452.09427757061050.419803000029903
2053825325.944665886782.0998104780871244.48804310709710.741785844673381
2152705332.901254236582.24924882168313-64.81208682355530.122532208341615
2254385353.236309820562.8105116262319177.65611773186020.455789180738685
2352625341.024349504922.35267872069541-73.1260709905105-0.378000698305142
2452065269.241125812750.329705436778287-34.115025258231-1.86518738558903
2554985303.683294336960.928242037411373180.6455462112920.888918603387444
2651485360.787958149082.58036010468379-234.440175679641.40212621799608
2753765310.878806223910.60500856588804984.2850848722032-1.25911144531452
2853185319.161594033190.908583703127236-3.97058438944760.185533107350852
2955525391.866818352443.66586269294574133.2827341008011.76699370762527
3053125407.469728023354.10385541228761-100.0004637608540.296897093588224
3155085439.27643366815.0859288446563358.14548533799710.691494888374885
3254625439.126087348654.9036378120697424.8765104745824-0.130771259752831
3353965452.813594478675.20688772058687-60.17263371484950.219246936283627
3455225446.507312374484.8132807027914379.8918730915279-0.287033574937731
3553885441.559782990984.48757432955266-49.8344065423846-0.242995106896125
3655165498.009771403976.13926299659252-1.853703632574671.29557778155378
3754185406.727265998093.1977509989581348.7669525939067-2.45525363343693
3850545337.089727548560.743734010409184-255.409247621657-1.81039089065621
3956385427.268194327124.06789067293221177.5879810453942.17930372576761
4054265456.082767595835.02334268758941-39.20554739622340.602386389520784
4156625496.73979301826.39659099541368152.0001892309460.875261177703554
4254145517.271540708586.93181387347636-108.5813674166940.349757814748962
4355485510.791140767586.4333151887977642.2712896253784-0.332891092143265
4454585480.786682844735.09820433184884-9.01458145813265-0.904722215783883
4553725455.718823083774.00498318839244-72.320988387036-0.74836360480356
4655625464.065047740324.1605093853998696.29649381652320.107553503285094
4753425438.348184344843.10636351544466-85.0836005504587-0.739594387005923
4855985482.75812406624.539009551167599.65440494697871.02437487579698
4956645539.059667440336.32730824578116105.3349272124411.28922564528701
5051385507.963804523034.98666995648911-355.858601296163-0.926919519924146
5155885472.532922886563.47962368937387130.516358868963-0.990996079855184
5253185427.947139695141.64850730443268-92.1383992880808-1.17573256776367
5354805381.45308572593-0.19224436657507116.453836842138-1.1828563923117
5451745327.61763283528-2.2304276250009-133.548166191949-1.32448387520715
5553685309.61253999504-2.8241108522807164.3099937337643-0.390416803132867
5651925253.623830162-4.806391145906-41.6455303823311-1.31594891070331
5749965165.3850120408-7.89085016208284-138.054483280621-2.06290186069091
5852205130.52671488697-8.8795504620799399.5872677450312-0.665923605583161
5950485133.57658460197-8.44578040557628-90.04750525573030.294488854431602
6051785112.87150133634-8.8889376105835669.7281908789223-0.303155466926943
6152585111.4985210193-8.61666545405202143.6754588677520.186263492699556
6246985070.30244606482-9.81434434061814-360.078808336452-0.80529375241872
6352485067.29794641374-9.55965224416799178.1631073844660.167406252333813
6450985102.06448690064-7.88338683519546-20.53252356888461.08744515724925
6551685068.63146442323-8.85281401930855108.875839554193-0.628201824048025
6649685066.51394145199-8.59779316433881-101.029222443560.166138380355799
6751165039.72657569194-9.2832599158044683.0831388376299-0.449469104203209
6850905053.36387741083-8.4242536563377628.05075229385340.566343097998871
6949245050.17600872959-8.22907926001453-128.1357417654370.12924338319646
7051865063.1289016283-7.44362663218261114.9531303391490.522239560567661
7150385086.68956416359-6.29887426233345-60.27433502885940.764382044393554
7251565086.47745397664-6.074604836991867.24584515005890.150274548387956
7351145029.29939859165-7.96133121909849103.842980567407-1.26336011911778
7448565102.11990691437-4.95912011794405-276.3485182514581.99436923438043
7551925078.26495023429-5.66685957485899120.781322841957-0.465052021566141
7649725031.20197761433-7.22593598716635-43.8017388640475-1.01728835301899
7751025006.39184068848-7.889622661901102.153997639707-0.432620135992005
7849024996.38561560234-7.9694593427479-93.5959418111579-0.0521840365592458
7949844956.26463642742-9.1793886510104739.7511504127782-0.793680159678215
8050104961.17818329665-8.6506618837757943.55341498117980.347853048620663
8147364922.65767586406-9.76769498941502-175.500359125715-0.736565061295118
8249744892.2537917806-10.537137165639289.446777129306-0.508435090774093
8348144875.40651681742-10.7718955908723-59.0524015502275-0.155480876974542
8449244855.11509938696-11.125774511762872.4393984024867-0.234811125545299
8549224845.41334051816-11.072771464571876.05440329192910.0351564373656947
8643624743.91147838257-14.449198376946-348.128383825984-2.23089407213658
8746964643.12002271651-17.684814686374985.0713462670695-2.1261095855226
8846624644.98686449043-16.95012126042479.734893136580030.480942396012159
8948464677.08283179545-15.1048609542914150.6551423603381.20719937587313
9045744663.95878859272-15.0303490551598-90.69736227675990.0488220285428366
9146164618.61186783377-16.16948312616228.70522351689528-0.747882872969587
9246784605.22643470554-16.065044133054171.73411885395950.0686719827529647
9345284633.62293775974-14.4001270004597-122.2118149637851.09586214752685
9446204584.24680557196-15.707701718175948.7928086873041-0.861513420037346
9545224565.51114851748-15.8207708968826-42.3824382906519-0.0745903815238247
9645484510.15333537678-17.296674905555452.5943388174903-0.974716224341534
9746784511.74445278772-16.5911034097937159.205106891960.4659323219741
9841984504.4521525643-16.2432032656045-309.9223782910720.229292072192529
9946084511.23197948083-15.380318907625988.18643603747440.567057341382461
10044444481.5726605761-15.9162092434633-32.25572303524-0.351441717156903
10145444431.822919278-17.1868116255955124.776241700756-0.833003596989596
10242644380.0719748522-18.4848153620165-103.189411786489-0.851755391703758
10344484393.29240025433-17.294814310717142.88128790537490.781780102909595
10445184415.74724712673-15.804144699206787.42443190330410.980042647402961
10543344420.81285484572-15.0222533685641-94.59411445762110.514256870326583
10646764500.10187326012-11.4919870396598140.7546790838012.32285711209236
10744324487.62219343493-11.5289360315318-55.254179660712-0.0243285870051794
10845504489.89924038534-11.012538036622754.95418131872140.340255290774284
10946504488.32796526593-10.6592643296095158.1507168134090.232784902216202
11042764527.42060192873-8.79621567505517-269.9745156946341.22639848134123
11146784549.08797386013-7.65446997442969117.5597526115290.750395020012419
11245064535.60402748082-7.87309947163254-27.4331216912748-0.143525463145337
11345944498.57170788818-8.96706064510886106.287291528927-0.718050427080054
11443924498.60370257616-8.62944290260653-109.9568651810.221733290122425
11545564512.2950890341-7.7922477270751435.38347852836960.550206422973168
11645364493.90587367855-8.1895403564476946.0450053908379-0.261195616998507
11744204515.82462222732-7.06131930005293-107.0456384659670.74180629471731
11846124497.66897590359-7.47685003382477118.464018230386-0.273249594588514
11943964477.00758877943-7.97050976099859-76.0962173258985-0.324750919928042
12045264474.19206733276-7.7775089156089649.88699373963310.127023066023842
12145644452.7481910011-8.28927431900026116.346249141217-0.33685185690271
12242864495.42979788541-6.37982306815317-228.4293691333491.2561707707515
12345564470.67401929182-7.0685102944813692.1724724572359-0.452664472394999
12443764431.14136841962-8.28559223986287-43.051264877586-0.799445008300135
12544444385.95635959285-9.6691880902909871.7852684475408-0.908758983884919
12643004390.5667889064-9.13374886416656-95.88654616916880.351813835465162







Structural Time Series Model -- Extrapolation
tObservedLevelSeasonal
14420.564274808544383.0010566148337.5632181937143
24412.75560861564374.261459447338.494149168301
34270.779553935244365.52186227976-94.7423083445201
44483.153130706914356.78226511223126.370865594678
54268.641279585394348.0426679447-79.4013883593134
64386.607220185634339.3030707771747.3041494084593
74424.230058072094330.5634736096493.6665844624492
84107.907117516834321.82387644211-213.916758925278
94422.359943749994313.08427927458109.275664475404
104272.924757761464304.34468210705-31.4199243455872
114357.981335896744295.6050849395262.376250957223
124191.294985486464286.86548777199-95.57050228553

\begin{tabular}{lllllllll}
\hline
Structural Time Series Model -- Extrapolation \tabularnewline
t & Observed & Level & Seasonal \tabularnewline
1 & 4420.56427480854 & 4383.00105661483 & 37.5632181937143 \tabularnewline
2 & 4412.7556086156 & 4374.2614594473 & 38.494149168301 \tabularnewline
3 & 4270.77955393524 & 4365.52186227976 & -94.7423083445201 \tabularnewline
4 & 4483.15313070691 & 4356.78226511223 & 126.370865594678 \tabularnewline
5 & 4268.64127958539 & 4348.0426679447 & -79.4013883593134 \tabularnewline
6 & 4386.60722018563 & 4339.30307077717 & 47.3041494084593 \tabularnewline
7 & 4424.23005807209 & 4330.56347360964 & 93.6665844624492 \tabularnewline
8 & 4107.90711751683 & 4321.82387644211 & -213.916758925278 \tabularnewline
9 & 4422.35994374999 & 4313.08427927458 & 109.275664475404 \tabularnewline
10 & 4272.92475776146 & 4304.34468210705 & -31.4199243455872 \tabularnewline
11 & 4357.98133589674 & 4295.60508493952 & 62.376250957223 \tabularnewline
12 & 4191.29498548646 & 4286.86548777199 & -95.57050228553 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=301539&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]4420.56427480854[/C][C]4383.00105661483[/C][C]37.5632181937143[/C][/ROW]
[ROW][C]2[/C][C]4412.7556086156[/C][C]4374.2614594473[/C][C]38.494149168301[/C][/ROW]
[ROW][C]3[/C][C]4270.77955393524[/C][C]4365.52186227976[/C][C]-94.7423083445201[/C][/ROW]
[ROW][C]4[/C][C]4483.15313070691[/C][C]4356.78226511223[/C][C]126.370865594678[/C][/ROW]
[ROW][C]5[/C][C]4268.64127958539[/C][C]4348.0426679447[/C][C]-79.4013883593134[/C][/ROW]
[ROW][C]6[/C][C]4386.60722018563[/C][C]4339.30307077717[/C][C]47.3041494084593[/C][/ROW]
[ROW][C]7[/C][C]4424.23005807209[/C][C]4330.56347360964[/C][C]93.6665844624492[/C][/ROW]
[ROW][C]8[/C][C]4107.90711751683[/C][C]4321.82387644211[/C][C]-213.916758925278[/C][/ROW]
[ROW][C]9[/C][C]4422.35994374999[/C][C]4313.08427927458[/C][C]109.275664475404[/C][/ROW]
[ROW][C]10[/C][C]4272.92475776146[/C][C]4304.34468210705[/C][C]-31.4199243455872[/C][/ROW]
[ROW][C]11[/C][C]4357.98133589674[/C][C]4295.60508493952[/C][C]62.376250957223[/C][/ROW]
[ROW][C]12[/C][C]4191.29498548646[/C][C]4286.86548777199[/C][C]-95.57050228553[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=301539&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=301539&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
14420.564274808544383.0010566148337.5632181937143
24412.75560861564374.261459447338.494149168301
34270.779553935244365.52186227976-94.7423083445201
44483.153130706914356.78226511223126.370865594678
54268.641279585394348.0426679447-79.4013883593134
64386.607220185634339.3030707771747.3041494084593
74424.230058072094330.5634736096493.6665844624492
84107.907117516834321.82387644211-213.916758925278
94422.359943749994313.08427927458109.275664475404
104272.924757761464304.34468210705-31.4199243455872
114357.981335896744295.6050849395262.376250957223
124191.294985486464286.86548777199-95.57050228553



Parameters (Session):
par4 = 12 ;
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')