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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 00:02:01 +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/t1482275061q0i4i5xm0a25k47.htm/, Retrieved Tue, 07 May 2024 03:10:27 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=301830, Retrieved Tue, 07 May 2024 03:10:27 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact100
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Structural Time Series Models] [] [2016-12-20 23:02:01] [2a4cd29e98d45e730e96e92769c461dd] [Current]
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Dataseries X:
3404
3425
3631
4141
3238
5390
1994
4343
4424
2762
3504
4279
3531
3210
4489
2395
2869
3193
3044
4209
5590
6703
4496
6277
5524
4478
2899
2265
2565
6319
1926
2591
5863
4287
4809
4455
3047
2757
2986
3158
1961
1364
2094
2497
2727
2949
3479
1858
2552
1843
2639
1495
2197
2861
1831
2516
2136
2432
1623
1535
2926
1548
1913
2092
1574
1371
2570
2775
1943
3431
1779
2628
3108
1188
1614
1078
1433
3167
1218
1922
3111
3443
2094
750
1297
2586
601
1846
1174
2420
742
1388
1878
1342
1605
1796
1842
1213
798
1948
832
1588
453
1111
1390
2262
1822
2100




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=301830&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=301830&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=301830&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
134043404000
234253408.782280489910.8868151588051270.9943596090854630.0209567803876356
336313467.138239129629.1388822187276710.67600084575270.215420076455137
441413655.0521732890230.11013705488934.19936711015510.638193645766508
532383554.8798785621417.162027406405511.6295598435929-0.463106988212104
653904060.2836474494459.333928169591774.08665996369471.76174374781973
719943538.1005499405214.8306239987725-7.03192507477163-2.14516019588782
843433754.2050053869828.688724032105341.39805524588350.760088755190577
944243941.1597406035838.615535936482640.73707929613180.611117840104725
1027623662.0927576056420.27516604681938.82956257616006-1.25152096066524
1135043631.743817103217.561788006172820.1586714593475-0.202978576259279
1242793800.0716955712625.118554590742330.42026361796410.6138031695094
1335313822.9875301254625.3809076165623-279.920446042781-0.0169411980379617
1432103663.5571934851115.96581437634615.73818859624567-0.646148783115312
1544893888.7026293352525.713332708934540.12154460345750.780077572486021
1623953522.280108580729.15321457197635-12.6745360287111-1.53873137258845
1728693367.01971922522.7948824724243-10.6789576306184-0.668796566827267
1831933319.644097163541.0001783460790726.6404524278634-0.209474519110217
1930443260.5370983079-1.00683982318738-28.7289858272616-0.255864563624393
2042093479.199897781425.8946461673758831.68698535659080.948893628647583
2155903971.2430822518520.365035524555753.4059427912872.12388778986708
2267034616.2862672002338.084511801352954.48877067946362.75350251080142
2344964613.6675584227736.978823567042915.8466738312255-0.180698761989368
2462775010.7636800970846.297408240587975.72267516666511.60927560288848
2555245221.750132152538.8279706172712-413.0656565794080.980195881329936
2644785065.9327021726832.8677620966974-12.7132538546738-0.790787863238112
2728994554.2916606503217.0604716840642.74251024035664-2.27293575787397
2822654024.705074081612.4987573628594-42.8040898201551-2.3440345612257
2925653686.51610882494-5.90823053052554-27.153814444762-1.48970450646626
3063194273.771762634867.78273014792252108.1082441133712.63125065370196
3119263761.46786747569-3.54260666868149-115.852576076842-2.33206727411679
3225913490.171072266-9.08475566349794-5.4817694211717-1.21050579767814
3358634009.787053590891.3839465559587475.61967573226442.4054834587462
3442874073.411132405392.569250785127843.118847305029970.284601105067628
3548094246.133523907545.69881809159803-15.18665321849460.781180529443445
3644554291.122504844316.379869320869429.61303255169950.18124975635517
3730474081.0584109448412.2471485828412-154.373087240988-1.1977626656546
3827573777.99429423335.43024833462392-25.5562131138061-1.36019492723736
3929863591.233123717561.35058607724079.91710648312426-0.840144930305174
4031583497.58784057919-0.511906576221898-29.1573043441521-0.422870652993754
4119613163.90726025239-6.5929004721928-97.2484578164043-1.50320020863173
4213642727.61421535061-13.964222977201878.7484791815423-1.95814788283742
4320942596.10434956525-15.8756515329192-104.148706592468-0.539680969118866
4424972569.62613593224-16.0402912885404-36.4954888327904-0.0489576570175281
4527272579.48519276723-15.653831153084558.80948258533420.120120554176892
4629492653.63883672624-14.3593659800701-13.45383558566060.417972343029915
4734792831.2905273848-11.6773966422576-14.68424768944640.896153520617046
4818582606.69742105352-14.4170181394146-10.0526819044701-0.99816805582496
4925522555.94344442688-13.7400755258318138.811344416052-0.194022804931149
5018432388.57003739534-16.2708515885911-43.5434827316433-0.68479399347472
5126392429.94746803936-15.303003194778919.70560212172470.258455903996751
5214952215.74090432331-18.4048050845411-57.2961086543266-0.903918310217125
5321972211.44622058322-18.1993713126216-62.06884740235940.0647893035445198
5428612321.13058825223-16.4446940811325104.4579270048480.591723187020859
5518312226.25374554647-17.4675377401094-126.448991632338-0.365007095904127
5625162282.84742946685-16.5427816942602-21.9489905444910.346183968015967
5721362228.28438797433-17.000158366403739.1841756863251-0.178322518223962
5824322264.73532025483-16.3774901575318-18.1247252000110.251364533279619
5916232115.46334361977-17.8787968155638-30.3552044443797-0.626346680121084
6015351976.82821892934-19.0980658586865-19.5007790628296-0.571714926765253
6129262103.84107929868-21.0942273728651260.3518270964860.763498399158183
6215481978.18365274679-22.4673125577594-81.3112961375743-0.475823819337413
6319131938.0137258427-22.713658940510934.0382359583078-0.0806499622331323
6420921967.43475813181-22.0356519434312-51.44605339348960.24005585664839
6515741882.30081733892-22.8033578666448-93.226140072334-0.292990708926299
6613711730.32051602647-24.287051450935584.1449941889806-0.60359303670777
6725701919.70555675902-21.9505088095851-87.19668911576641.00312454554439
6827752094.72344714651-19.8847613012268-2.351561931357340.928033567530278
6919432043.32433738381-20.20372290070669.23991567707724-0.14889471545752
7034312325.4682833887-17.236019610833151.76355787883231.43159962738579
7117792204.78650886129-18.2193698955272-64.4581241083001-0.490733159651906
7226282285.77292767872-17.4052112972456-6.371705686153230.472817852985189
7331082388.29217040567-18.6489280649234265.5594078558840.617578924822743
7411882131.86834493165-21.2147819115272-139.579872710669-1.0975607619206
7516141991.18705713375-22.635894075910625.4087000547921-0.550368129979487
7610781783.00775089396-24.7131231577842-73.7093222514967-0.862121657483825
7714331702.57035568437-25.2978425548094-78.436624307994-0.260765308790323
7831671982.10492368129-22.2746832098578132.9605860835131.43410560783607
7912181830.07078885418-23.5012748493072-162.239424909667-0.612915676492844
8019221829.88198161195-23.289681137580611.02020074097230.110452600597895
8131112089.16530168651-20.811768914083536.1995126529621.34196286738976
8234432353.05312148588-18.388709633694494.79218540859691.35456787686932
8320942305.35634173268-18.6295212460027-108.706470706985-0.139681600742106
847501965.88602032019-20.8235791266327-85.2083993570044-1.53646907569177
8512971749.18465876597-19.2520606653201281.109436769194-0.998113386662805
8625861936.78163257675-17.376334672461-57.18529392596140.964766659649093
876011627.37554006899-20.4104560604358-35.141350534404-1.35648494074453
8818461666.66129389114-19.82198456557-24.86078993033130.279227393497346
8911741569.24193760828-20.5402968614734-127.954790441539-0.365193724806319
9024201700.87717051923-19.2076829059699192.1672223554050.719518692606153
917421519.84836832213-20.559460375621-215.252243894778-0.767812326759747
9213881476.87247677734-20.7394061500868-10.7013161899871-0.106646087307994
9318781543.6842090575-20.059871990832128.28974834569470.417381256108896
9413421466.23806586792-20.492247056270576.7234874349687-0.274022526587817
9516051493.64116225215-20.1455147840492-56.68583902085270.229068955685677
9617961555.50229017022-19.6691542152596-49.0377965818050.394131615923985
9718421546.14741536731-19.7337827395842257.5872069995690.0521387288577984
9812131464.6178420974-20.2130387903226-39.1103782499414-0.290488322715354
997981313.31266208647-21.421504691012-67.9469900620637-0.612826590071865
10019481433.0096102957-20.175989872434630.39637442241370.663454252741021
1018321322.86777293795-20.9232350208641-180.039652214305-0.425250632624098
10215881316.31104235371-20.8102619308237221.8192077625410.0681894279422206
1034531162.91930338236-21.8053819313864-248.056356091956-0.631258015693097
10411111136.52681451791-21.8384865425456-9.5037945297992-0.0218925398553505
10513901165.37746141079-21.484610431699747.19258405740930.242364233656635
10622621365.33344050409-19.9844511041056120.2405706800461.06034861258191
10718221464.17236611688-19.2157068633381-59.57497774861660.569857371024199
10821001595.21142972168-18.4624481859477-26.34984183746110.724140255609348

\begin{tabular}{lllllllll}
\hline
Structural Time Series Model -- Interpolation \tabularnewline
t & Observed & Level & Slope & Seasonal & Stand. Residuals \tabularnewline
1 & 3404 & 3404 & 0 & 0 & 0 \tabularnewline
2 & 3425 & 3408.78228048991 & 0.886815158805127 & 0.994359609085463 & 0.0209567803876356 \tabularnewline
3 & 3631 & 3467.13823912962 & 9.13888221872767 & 10.6760008457527 & 0.215420076455137 \tabularnewline
4 & 4141 & 3655.05217328902 & 30.110137054889 & 34.1993671101551 & 0.638193645766508 \tabularnewline
5 & 3238 & 3554.87987856214 & 17.1620274064055 & 11.6295598435929 & -0.463106988212104 \tabularnewline
6 & 5390 & 4060.28364744944 & 59.3339281695917 & 74.0866599636947 & 1.76174374781973 \tabularnewline
7 & 1994 & 3538.10054994052 & 14.8306239987725 & -7.03192507477163 & -2.14516019588782 \tabularnewline
8 & 4343 & 3754.20500538698 & 28.6887240321053 & 41.3980552458835 & 0.760088755190577 \tabularnewline
9 & 4424 & 3941.15974060358 & 38.6155359364826 & 40.7370792961318 & 0.611117840104725 \tabularnewline
10 & 2762 & 3662.09275760564 & 20.2751660468193 & 8.82956257616006 & -1.25152096066524 \tabularnewline
11 & 3504 & 3631.7438171032 & 17.5617880061728 & 20.1586714593475 & -0.202978576259279 \tabularnewline
12 & 4279 & 3800.07169557126 & 25.1185545907423 & 30.4202636179641 & 0.6138031695094 \tabularnewline
13 & 3531 & 3822.98753012546 & 25.3809076165623 & -279.920446042781 & -0.0169411980379617 \tabularnewline
14 & 3210 & 3663.55719348511 & 15.9658143763461 & 5.73818859624567 & -0.646148783115312 \tabularnewline
15 & 4489 & 3888.70262933525 & 25.7133327089345 & 40.1215446034575 & 0.780077572486021 \tabularnewline
16 & 2395 & 3522.28010858072 & 9.15321457197635 & -12.6745360287111 & -1.53873137258845 \tabularnewline
17 & 2869 & 3367.0197192252 & 2.7948824724243 & -10.6789576306184 & -0.668796566827267 \tabularnewline
18 & 3193 & 3319.64409716354 & 1.00017834607907 & 26.6404524278634 & -0.209474519110217 \tabularnewline
19 & 3044 & 3260.5370983079 & -1.00683982318738 & -28.7289858272616 & -0.255864563624393 \tabularnewline
20 & 4209 & 3479.19989778142 & 5.89464616737588 & 31.6869853565908 & 0.948893628647583 \tabularnewline
21 & 5590 & 3971.24308225185 & 20.3650355245557 & 53.405942791287 & 2.12388778986708 \tabularnewline
22 & 6703 & 4616.28626720023 & 38.0845118013529 & 54.4887706794636 & 2.75350251080142 \tabularnewline
23 & 4496 & 4613.66755842277 & 36.9788235670429 & 15.8466738312255 & -0.180698761989368 \tabularnewline
24 & 6277 & 5010.76368009708 & 46.2974082405879 & 75.7226751666651 & 1.60927560288848 \tabularnewline
25 & 5524 & 5221.7501321525 & 38.8279706172712 & -413.065656579408 & 0.980195881329936 \tabularnewline
26 & 4478 & 5065.93270217268 & 32.8677620966974 & -12.7132538546738 & -0.790787863238112 \tabularnewline
27 & 2899 & 4554.29166065032 & 17.060471684064 & 2.74251024035664 & -2.27293575787397 \tabularnewline
28 & 2265 & 4024.70507408161 & 2.4987573628594 & -42.8040898201551 & -2.3440345612257 \tabularnewline
29 & 2565 & 3686.51610882494 & -5.90823053052554 & -27.153814444762 & -1.48970450646626 \tabularnewline
30 & 6319 & 4273.77176263486 & 7.78273014792252 & 108.108244113371 & 2.63125065370196 \tabularnewline
31 & 1926 & 3761.46786747569 & -3.54260666868149 & -115.852576076842 & -2.33206727411679 \tabularnewline
32 & 2591 & 3490.171072266 & -9.08475566349794 & -5.4817694211717 & -1.21050579767814 \tabularnewline
33 & 5863 & 4009.78705359089 & 1.38394655595874 & 75.6196757322644 & 2.4054834587462 \tabularnewline
34 & 4287 & 4073.41113240539 & 2.56925078512784 & 3.11884730502997 & 0.284601105067628 \tabularnewline
35 & 4809 & 4246.13352390754 & 5.69881809159803 & -15.1866532184946 & 0.781180529443445 \tabularnewline
36 & 4455 & 4291.12250484431 & 6.3798693208694 & 29.6130325516995 & 0.18124975635517 \tabularnewline
37 & 3047 & 4081.05841094484 & 12.2471485828412 & -154.373087240988 & -1.1977626656546 \tabularnewline
38 & 2757 & 3777.9942942333 & 5.43024833462392 & -25.5562131138061 & -1.36019492723736 \tabularnewline
39 & 2986 & 3591.23312371756 & 1.3505860772407 & 9.91710648312426 & -0.840144930305174 \tabularnewline
40 & 3158 & 3497.58784057919 & -0.511906576221898 & -29.1573043441521 & -0.422870652993754 \tabularnewline
41 & 1961 & 3163.90726025239 & -6.5929004721928 & -97.2484578164043 & -1.50320020863173 \tabularnewline
42 & 1364 & 2727.61421535061 & -13.9642229772018 & 78.7484791815423 & -1.95814788283742 \tabularnewline
43 & 2094 & 2596.10434956525 & -15.8756515329192 & -104.148706592468 & -0.539680969118866 \tabularnewline
44 & 2497 & 2569.62613593224 & -16.0402912885404 & -36.4954888327904 & -0.0489576570175281 \tabularnewline
45 & 2727 & 2579.48519276723 & -15.6538311530845 & 58.8094825853342 & 0.120120554176892 \tabularnewline
46 & 2949 & 2653.63883672624 & -14.3593659800701 & -13.4538355856606 & 0.417972343029915 \tabularnewline
47 & 3479 & 2831.2905273848 & -11.6773966422576 & -14.6842476894464 & 0.896153520617046 \tabularnewline
48 & 1858 & 2606.69742105352 & -14.4170181394146 & -10.0526819044701 & -0.99816805582496 \tabularnewline
49 & 2552 & 2555.94344442688 & -13.7400755258318 & 138.811344416052 & -0.194022804931149 \tabularnewline
50 & 1843 & 2388.57003739534 & -16.2708515885911 & -43.5434827316433 & -0.68479399347472 \tabularnewline
51 & 2639 & 2429.94746803936 & -15.3030031947789 & 19.7056021217247 & 0.258455903996751 \tabularnewline
52 & 1495 & 2215.74090432331 & -18.4048050845411 & -57.2961086543266 & -0.903918310217125 \tabularnewline
53 & 2197 & 2211.44622058322 & -18.1993713126216 & -62.0688474023594 & 0.0647893035445198 \tabularnewline
54 & 2861 & 2321.13058825223 & -16.4446940811325 & 104.457927004848 & 0.591723187020859 \tabularnewline
55 & 1831 & 2226.25374554647 & -17.4675377401094 & -126.448991632338 & -0.365007095904127 \tabularnewline
56 & 2516 & 2282.84742946685 & -16.5427816942602 & -21.948990544491 & 0.346183968015967 \tabularnewline
57 & 2136 & 2228.28438797433 & -17.0001583664037 & 39.1841756863251 & -0.178322518223962 \tabularnewline
58 & 2432 & 2264.73532025483 & -16.3774901575318 & -18.124725200011 & 0.251364533279619 \tabularnewline
59 & 1623 & 2115.46334361977 & -17.8787968155638 & -30.3552044443797 & -0.626346680121084 \tabularnewline
60 & 1535 & 1976.82821892934 & -19.0980658586865 & -19.5007790628296 & -0.571714926765253 \tabularnewline
61 & 2926 & 2103.84107929868 & -21.0942273728651 & 260.351827096486 & 0.763498399158183 \tabularnewline
62 & 1548 & 1978.18365274679 & -22.4673125577594 & -81.3112961375743 & -0.475823819337413 \tabularnewline
63 & 1913 & 1938.0137258427 & -22.7136589405109 & 34.0382359583078 & -0.0806499622331323 \tabularnewline
64 & 2092 & 1967.43475813181 & -22.0356519434312 & -51.4460533934896 & 0.24005585664839 \tabularnewline
65 & 1574 & 1882.30081733892 & -22.8033578666448 & -93.226140072334 & -0.292990708926299 \tabularnewline
66 & 1371 & 1730.32051602647 & -24.2870514509355 & 84.1449941889806 & -0.60359303670777 \tabularnewline
67 & 2570 & 1919.70555675902 & -21.9505088095851 & -87.1966891157664 & 1.00312454554439 \tabularnewline
68 & 2775 & 2094.72344714651 & -19.8847613012268 & -2.35156193135734 & 0.928033567530278 \tabularnewline
69 & 1943 & 2043.32433738381 & -20.2037229007066 & 9.23991567707724 & -0.14889471545752 \tabularnewline
70 & 3431 & 2325.4682833887 & -17.2360196108331 & 51.7635578788323 & 1.43159962738579 \tabularnewline
71 & 1779 & 2204.78650886129 & -18.2193698955272 & -64.4581241083001 & -0.490733159651906 \tabularnewline
72 & 2628 & 2285.77292767872 & -17.4052112972456 & -6.37170568615323 & 0.472817852985189 \tabularnewline
73 & 3108 & 2388.29217040567 & -18.6489280649234 & 265.559407855884 & 0.617578924822743 \tabularnewline
74 & 1188 & 2131.86834493165 & -21.2147819115272 & -139.579872710669 & -1.0975607619206 \tabularnewline
75 & 1614 & 1991.18705713375 & -22.6358940759106 & 25.4087000547921 & -0.550368129979487 \tabularnewline
76 & 1078 & 1783.00775089396 & -24.7131231577842 & -73.7093222514967 & -0.862121657483825 \tabularnewline
77 & 1433 & 1702.57035568437 & -25.2978425548094 & -78.436624307994 & -0.260765308790323 \tabularnewline
78 & 3167 & 1982.10492368129 & -22.2746832098578 & 132.960586083513 & 1.43410560783607 \tabularnewline
79 & 1218 & 1830.07078885418 & -23.5012748493072 & -162.239424909667 & -0.612915676492844 \tabularnewline
80 & 1922 & 1829.88198161195 & -23.2896811375806 & 11.0202007409723 & 0.110452600597895 \tabularnewline
81 & 3111 & 2089.16530168651 & -20.8117689140835 & 36.199512652962 & 1.34196286738976 \tabularnewline
82 & 3443 & 2353.05312148588 & -18.3887096336944 & 94.7921854085969 & 1.35456787686932 \tabularnewline
83 & 2094 & 2305.35634173268 & -18.6295212460027 & -108.706470706985 & -0.139681600742106 \tabularnewline
84 & 750 & 1965.88602032019 & -20.8235791266327 & -85.2083993570044 & -1.53646907569177 \tabularnewline
85 & 1297 & 1749.18465876597 & -19.2520606653201 & 281.109436769194 & -0.998113386662805 \tabularnewline
86 & 2586 & 1936.78163257675 & -17.376334672461 & -57.1852939259614 & 0.964766659649093 \tabularnewline
87 & 601 & 1627.37554006899 & -20.4104560604358 & -35.141350534404 & -1.35648494074453 \tabularnewline
88 & 1846 & 1666.66129389114 & -19.82198456557 & -24.8607899303313 & 0.279227393497346 \tabularnewline
89 & 1174 & 1569.24193760828 & -20.5402968614734 & -127.954790441539 & -0.365193724806319 \tabularnewline
90 & 2420 & 1700.87717051923 & -19.2076829059699 & 192.167222355405 & 0.719518692606153 \tabularnewline
91 & 742 & 1519.84836832213 & -20.559460375621 & -215.252243894778 & -0.767812326759747 \tabularnewline
92 & 1388 & 1476.87247677734 & -20.7394061500868 & -10.7013161899871 & -0.106646087307994 \tabularnewline
93 & 1878 & 1543.6842090575 & -20.0598719908321 & 28.2897483456947 & 0.417381256108896 \tabularnewline
94 & 1342 & 1466.23806586792 & -20.4922470562705 & 76.7234874349687 & -0.274022526587817 \tabularnewline
95 & 1605 & 1493.64116225215 & -20.1455147840492 & -56.6858390208527 & 0.229068955685677 \tabularnewline
96 & 1796 & 1555.50229017022 & -19.6691542152596 & -49.037796581805 & 0.394131615923985 \tabularnewline
97 & 1842 & 1546.14741536731 & -19.7337827395842 & 257.587206999569 & 0.0521387288577984 \tabularnewline
98 & 1213 & 1464.6178420974 & -20.2130387903226 & -39.1103782499414 & -0.290488322715354 \tabularnewline
99 & 798 & 1313.31266208647 & -21.421504691012 & -67.9469900620637 & -0.612826590071865 \tabularnewline
100 & 1948 & 1433.0096102957 & -20.1759898724346 & 30.3963744224137 & 0.663454252741021 \tabularnewline
101 & 832 & 1322.86777293795 & -20.9232350208641 & -180.039652214305 & -0.425250632624098 \tabularnewline
102 & 1588 & 1316.31104235371 & -20.8102619308237 & 221.819207762541 & 0.0681894279422206 \tabularnewline
103 & 453 & 1162.91930338236 & -21.8053819313864 & -248.056356091956 & -0.631258015693097 \tabularnewline
104 & 1111 & 1136.52681451791 & -21.8384865425456 & -9.5037945297992 & -0.0218925398553505 \tabularnewline
105 & 1390 & 1165.37746141079 & -21.4846104316997 & 47.1925840574093 & 0.242364233656635 \tabularnewline
106 & 2262 & 1365.33344050409 & -19.9844511041056 & 120.240570680046 & 1.06034861258191 \tabularnewline
107 & 1822 & 1464.17236611688 & -19.2157068633381 & -59.5749777486166 & 0.569857371024199 \tabularnewline
108 & 2100 & 1595.21142972168 & -18.4624481859477 & -26.3498418374611 & 0.724140255609348 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=301830&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]3404[/C][C]3404[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]3425[/C][C]3408.78228048991[/C][C]0.886815158805127[/C][C]0.994359609085463[/C][C]0.0209567803876356[/C][/ROW]
[ROW][C]3[/C][C]3631[/C][C]3467.13823912962[/C][C]9.13888221872767[/C][C]10.6760008457527[/C][C]0.215420076455137[/C][/ROW]
[ROW][C]4[/C][C]4141[/C][C]3655.05217328902[/C][C]30.110137054889[/C][C]34.1993671101551[/C][C]0.638193645766508[/C][/ROW]
[ROW][C]5[/C][C]3238[/C][C]3554.87987856214[/C][C]17.1620274064055[/C][C]11.6295598435929[/C][C]-0.463106988212104[/C][/ROW]
[ROW][C]6[/C][C]5390[/C][C]4060.28364744944[/C][C]59.3339281695917[/C][C]74.0866599636947[/C][C]1.76174374781973[/C][/ROW]
[ROW][C]7[/C][C]1994[/C][C]3538.10054994052[/C][C]14.8306239987725[/C][C]-7.03192507477163[/C][C]-2.14516019588782[/C][/ROW]
[ROW][C]8[/C][C]4343[/C][C]3754.20500538698[/C][C]28.6887240321053[/C][C]41.3980552458835[/C][C]0.760088755190577[/C][/ROW]
[ROW][C]9[/C][C]4424[/C][C]3941.15974060358[/C][C]38.6155359364826[/C][C]40.7370792961318[/C][C]0.611117840104725[/C][/ROW]
[ROW][C]10[/C][C]2762[/C][C]3662.09275760564[/C][C]20.2751660468193[/C][C]8.82956257616006[/C][C]-1.25152096066524[/C][/ROW]
[ROW][C]11[/C][C]3504[/C][C]3631.7438171032[/C][C]17.5617880061728[/C][C]20.1586714593475[/C][C]-0.202978576259279[/C][/ROW]
[ROW][C]12[/C][C]4279[/C][C]3800.07169557126[/C][C]25.1185545907423[/C][C]30.4202636179641[/C][C]0.6138031695094[/C][/ROW]
[ROW][C]13[/C][C]3531[/C][C]3822.98753012546[/C][C]25.3809076165623[/C][C]-279.920446042781[/C][C]-0.0169411980379617[/C][/ROW]
[ROW][C]14[/C][C]3210[/C][C]3663.55719348511[/C][C]15.9658143763461[/C][C]5.73818859624567[/C][C]-0.646148783115312[/C][/ROW]
[ROW][C]15[/C][C]4489[/C][C]3888.70262933525[/C][C]25.7133327089345[/C][C]40.1215446034575[/C][C]0.780077572486021[/C][/ROW]
[ROW][C]16[/C][C]2395[/C][C]3522.28010858072[/C][C]9.15321457197635[/C][C]-12.6745360287111[/C][C]-1.53873137258845[/C][/ROW]
[ROW][C]17[/C][C]2869[/C][C]3367.0197192252[/C][C]2.7948824724243[/C][C]-10.6789576306184[/C][C]-0.668796566827267[/C][/ROW]
[ROW][C]18[/C][C]3193[/C][C]3319.64409716354[/C][C]1.00017834607907[/C][C]26.6404524278634[/C][C]-0.209474519110217[/C][/ROW]
[ROW][C]19[/C][C]3044[/C][C]3260.5370983079[/C][C]-1.00683982318738[/C][C]-28.7289858272616[/C][C]-0.255864563624393[/C][/ROW]
[ROW][C]20[/C][C]4209[/C][C]3479.19989778142[/C][C]5.89464616737588[/C][C]31.6869853565908[/C][C]0.948893628647583[/C][/ROW]
[ROW][C]21[/C][C]5590[/C][C]3971.24308225185[/C][C]20.3650355245557[/C][C]53.405942791287[/C][C]2.12388778986708[/C][/ROW]
[ROW][C]22[/C][C]6703[/C][C]4616.28626720023[/C][C]38.0845118013529[/C][C]54.4887706794636[/C][C]2.75350251080142[/C][/ROW]
[ROW][C]23[/C][C]4496[/C][C]4613.66755842277[/C][C]36.9788235670429[/C][C]15.8466738312255[/C][C]-0.180698761989368[/C][/ROW]
[ROW][C]24[/C][C]6277[/C][C]5010.76368009708[/C][C]46.2974082405879[/C][C]75.7226751666651[/C][C]1.60927560288848[/C][/ROW]
[ROW][C]25[/C][C]5524[/C][C]5221.7501321525[/C][C]38.8279706172712[/C][C]-413.065656579408[/C][C]0.980195881329936[/C][/ROW]
[ROW][C]26[/C][C]4478[/C][C]5065.93270217268[/C][C]32.8677620966974[/C][C]-12.7132538546738[/C][C]-0.790787863238112[/C][/ROW]
[ROW][C]27[/C][C]2899[/C][C]4554.29166065032[/C][C]17.060471684064[/C][C]2.74251024035664[/C][C]-2.27293575787397[/C][/ROW]
[ROW][C]28[/C][C]2265[/C][C]4024.70507408161[/C][C]2.4987573628594[/C][C]-42.8040898201551[/C][C]-2.3440345612257[/C][/ROW]
[ROW][C]29[/C][C]2565[/C][C]3686.51610882494[/C][C]-5.90823053052554[/C][C]-27.153814444762[/C][C]-1.48970450646626[/C][/ROW]
[ROW][C]30[/C][C]6319[/C][C]4273.77176263486[/C][C]7.78273014792252[/C][C]108.108244113371[/C][C]2.63125065370196[/C][/ROW]
[ROW][C]31[/C][C]1926[/C][C]3761.46786747569[/C][C]-3.54260666868149[/C][C]-115.852576076842[/C][C]-2.33206727411679[/C][/ROW]
[ROW][C]32[/C][C]2591[/C][C]3490.171072266[/C][C]-9.08475566349794[/C][C]-5.4817694211717[/C][C]-1.21050579767814[/C][/ROW]
[ROW][C]33[/C][C]5863[/C][C]4009.78705359089[/C][C]1.38394655595874[/C][C]75.6196757322644[/C][C]2.4054834587462[/C][/ROW]
[ROW][C]34[/C][C]4287[/C][C]4073.41113240539[/C][C]2.56925078512784[/C][C]3.11884730502997[/C][C]0.284601105067628[/C][/ROW]
[ROW][C]35[/C][C]4809[/C][C]4246.13352390754[/C][C]5.69881809159803[/C][C]-15.1866532184946[/C][C]0.781180529443445[/C][/ROW]
[ROW][C]36[/C][C]4455[/C][C]4291.12250484431[/C][C]6.3798693208694[/C][C]29.6130325516995[/C][C]0.18124975635517[/C][/ROW]
[ROW][C]37[/C][C]3047[/C][C]4081.05841094484[/C][C]12.2471485828412[/C][C]-154.373087240988[/C][C]-1.1977626656546[/C][/ROW]
[ROW][C]38[/C][C]2757[/C][C]3777.9942942333[/C][C]5.43024833462392[/C][C]-25.5562131138061[/C][C]-1.36019492723736[/C][/ROW]
[ROW][C]39[/C][C]2986[/C][C]3591.23312371756[/C][C]1.3505860772407[/C][C]9.91710648312426[/C][C]-0.840144930305174[/C][/ROW]
[ROW][C]40[/C][C]3158[/C][C]3497.58784057919[/C][C]-0.511906576221898[/C][C]-29.1573043441521[/C][C]-0.422870652993754[/C][/ROW]
[ROW][C]41[/C][C]1961[/C][C]3163.90726025239[/C][C]-6.5929004721928[/C][C]-97.2484578164043[/C][C]-1.50320020863173[/C][/ROW]
[ROW][C]42[/C][C]1364[/C][C]2727.61421535061[/C][C]-13.9642229772018[/C][C]78.7484791815423[/C][C]-1.95814788283742[/C][/ROW]
[ROW][C]43[/C][C]2094[/C][C]2596.10434956525[/C][C]-15.8756515329192[/C][C]-104.148706592468[/C][C]-0.539680969118866[/C][/ROW]
[ROW][C]44[/C][C]2497[/C][C]2569.62613593224[/C][C]-16.0402912885404[/C][C]-36.4954888327904[/C][C]-0.0489576570175281[/C][/ROW]
[ROW][C]45[/C][C]2727[/C][C]2579.48519276723[/C][C]-15.6538311530845[/C][C]58.8094825853342[/C][C]0.120120554176892[/C][/ROW]
[ROW][C]46[/C][C]2949[/C][C]2653.63883672624[/C][C]-14.3593659800701[/C][C]-13.4538355856606[/C][C]0.417972343029915[/C][/ROW]
[ROW][C]47[/C][C]3479[/C][C]2831.2905273848[/C][C]-11.6773966422576[/C][C]-14.6842476894464[/C][C]0.896153520617046[/C][/ROW]
[ROW][C]48[/C][C]1858[/C][C]2606.69742105352[/C][C]-14.4170181394146[/C][C]-10.0526819044701[/C][C]-0.99816805582496[/C][/ROW]
[ROW][C]49[/C][C]2552[/C][C]2555.94344442688[/C][C]-13.7400755258318[/C][C]138.811344416052[/C][C]-0.194022804931149[/C][/ROW]
[ROW][C]50[/C][C]1843[/C][C]2388.57003739534[/C][C]-16.2708515885911[/C][C]-43.5434827316433[/C][C]-0.68479399347472[/C][/ROW]
[ROW][C]51[/C][C]2639[/C][C]2429.94746803936[/C][C]-15.3030031947789[/C][C]19.7056021217247[/C][C]0.258455903996751[/C][/ROW]
[ROW][C]52[/C][C]1495[/C][C]2215.74090432331[/C][C]-18.4048050845411[/C][C]-57.2961086543266[/C][C]-0.903918310217125[/C][/ROW]
[ROW][C]53[/C][C]2197[/C][C]2211.44622058322[/C][C]-18.1993713126216[/C][C]-62.0688474023594[/C][C]0.0647893035445198[/C][/ROW]
[ROW][C]54[/C][C]2861[/C][C]2321.13058825223[/C][C]-16.4446940811325[/C][C]104.457927004848[/C][C]0.591723187020859[/C][/ROW]
[ROW][C]55[/C][C]1831[/C][C]2226.25374554647[/C][C]-17.4675377401094[/C][C]-126.448991632338[/C][C]-0.365007095904127[/C][/ROW]
[ROW][C]56[/C][C]2516[/C][C]2282.84742946685[/C][C]-16.5427816942602[/C][C]-21.948990544491[/C][C]0.346183968015967[/C][/ROW]
[ROW][C]57[/C][C]2136[/C][C]2228.28438797433[/C][C]-17.0001583664037[/C][C]39.1841756863251[/C][C]-0.178322518223962[/C][/ROW]
[ROW][C]58[/C][C]2432[/C][C]2264.73532025483[/C][C]-16.3774901575318[/C][C]-18.124725200011[/C][C]0.251364533279619[/C][/ROW]
[ROW][C]59[/C][C]1623[/C][C]2115.46334361977[/C][C]-17.8787968155638[/C][C]-30.3552044443797[/C][C]-0.626346680121084[/C][/ROW]
[ROW][C]60[/C][C]1535[/C][C]1976.82821892934[/C][C]-19.0980658586865[/C][C]-19.5007790628296[/C][C]-0.571714926765253[/C][/ROW]
[ROW][C]61[/C][C]2926[/C][C]2103.84107929868[/C][C]-21.0942273728651[/C][C]260.351827096486[/C][C]0.763498399158183[/C][/ROW]
[ROW][C]62[/C][C]1548[/C][C]1978.18365274679[/C][C]-22.4673125577594[/C][C]-81.3112961375743[/C][C]-0.475823819337413[/C][/ROW]
[ROW][C]63[/C][C]1913[/C][C]1938.0137258427[/C][C]-22.7136589405109[/C][C]34.0382359583078[/C][C]-0.0806499622331323[/C][/ROW]
[ROW][C]64[/C][C]2092[/C][C]1967.43475813181[/C][C]-22.0356519434312[/C][C]-51.4460533934896[/C][C]0.24005585664839[/C][/ROW]
[ROW][C]65[/C][C]1574[/C][C]1882.30081733892[/C][C]-22.8033578666448[/C][C]-93.226140072334[/C][C]-0.292990708926299[/C][/ROW]
[ROW][C]66[/C][C]1371[/C][C]1730.32051602647[/C][C]-24.2870514509355[/C][C]84.1449941889806[/C][C]-0.60359303670777[/C][/ROW]
[ROW][C]67[/C][C]2570[/C][C]1919.70555675902[/C][C]-21.9505088095851[/C][C]-87.1966891157664[/C][C]1.00312454554439[/C][/ROW]
[ROW][C]68[/C][C]2775[/C][C]2094.72344714651[/C][C]-19.8847613012268[/C][C]-2.35156193135734[/C][C]0.928033567530278[/C][/ROW]
[ROW][C]69[/C][C]1943[/C][C]2043.32433738381[/C][C]-20.2037229007066[/C][C]9.23991567707724[/C][C]-0.14889471545752[/C][/ROW]
[ROW][C]70[/C][C]3431[/C][C]2325.4682833887[/C][C]-17.2360196108331[/C][C]51.7635578788323[/C][C]1.43159962738579[/C][/ROW]
[ROW][C]71[/C][C]1779[/C][C]2204.78650886129[/C][C]-18.2193698955272[/C][C]-64.4581241083001[/C][C]-0.490733159651906[/C][/ROW]
[ROW][C]72[/C][C]2628[/C][C]2285.77292767872[/C][C]-17.4052112972456[/C][C]-6.37170568615323[/C][C]0.472817852985189[/C][/ROW]
[ROW][C]73[/C][C]3108[/C][C]2388.29217040567[/C][C]-18.6489280649234[/C][C]265.559407855884[/C][C]0.617578924822743[/C][/ROW]
[ROW][C]74[/C][C]1188[/C][C]2131.86834493165[/C][C]-21.2147819115272[/C][C]-139.579872710669[/C][C]-1.0975607619206[/C][/ROW]
[ROW][C]75[/C][C]1614[/C][C]1991.18705713375[/C][C]-22.6358940759106[/C][C]25.4087000547921[/C][C]-0.550368129979487[/C][/ROW]
[ROW][C]76[/C][C]1078[/C][C]1783.00775089396[/C][C]-24.7131231577842[/C][C]-73.7093222514967[/C][C]-0.862121657483825[/C][/ROW]
[ROW][C]77[/C][C]1433[/C][C]1702.57035568437[/C][C]-25.2978425548094[/C][C]-78.436624307994[/C][C]-0.260765308790323[/C][/ROW]
[ROW][C]78[/C][C]3167[/C][C]1982.10492368129[/C][C]-22.2746832098578[/C][C]132.960586083513[/C][C]1.43410560783607[/C][/ROW]
[ROW][C]79[/C][C]1218[/C][C]1830.07078885418[/C][C]-23.5012748493072[/C][C]-162.239424909667[/C][C]-0.612915676492844[/C][/ROW]
[ROW][C]80[/C][C]1922[/C][C]1829.88198161195[/C][C]-23.2896811375806[/C][C]11.0202007409723[/C][C]0.110452600597895[/C][/ROW]
[ROW][C]81[/C][C]3111[/C][C]2089.16530168651[/C][C]-20.8117689140835[/C][C]36.199512652962[/C][C]1.34196286738976[/C][/ROW]
[ROW][C]82[/C][C]3443[/C][C]2353.05312148588[/C][C]-18.3887096336944[/C][C]94.7921854085969[/C][C]1.35456787686932[/C][/ROW]
[ROW][C]83[/C][C]2094[/C][C]2305.35634173268[/C][C]-18.6295212460027[/C][C]-108.706470706985[/C][C]-0.139681600742106[/C][/ROW]
[ROW][C]84[/C][C]750[/C][C]1965.88602032019[/C][C]-20.8235791266327[/C][C]-85.2083993570044[/C][C]-1.53646907569177[/C][/ROW]
[ROW][C]85[/C][C]1297[/C][C]1749.18465876597[/C][C]-19.2520606653201[/C][C]281.109436769194[/C][C]-0.998113386662805[/C][/ROW]
[ROW][C]86[/C][C]2586[/C][C]1936.78163257675[/C][C]-17.376334672461[/C][C]-57.1852939259614[/C][C]0.964766659649093[/C][/ROW]
[ROW][C]87[/C][C]601[/C][C]1627.37554006899[/C][C]-20.4104560604358[/C][C]-35.141350534404[/C][C]-1.35648494074453[/C][/ROW]
[ROW][C]88[/C][C]1846[/C][C]1666.66129389114[/C][C]-19.82198456557[/C][C]-24.8607899303313[/C][C]0.279227393497346[/C][/ROW]
[ROW][C]89[/C][C]1174[/C][C]1569.24193760828[/C][C]-20.5402968614734[/C][C]-127.954790441539[/C][C]-0.365193724806319[/C][/ROW]
[ROW][C]90[/C][C]2420[/C][C]1700.87717051923[/C][C]-19.2076829059699[/C][C]192.167222355405[/C][C]0.719518692606153[/C][/ROW]
[ROW][C]91[/C][C]742[/C][C]1519.84836832213[/C][C]-20.559460375621[/C][C]-215.252243894778[/C][C]-0.767812326759747[/C][/ROW]
[ROW][C]92[/C][C]1388[/C][C]1476.87247677734[/C][C]-20.7394061500868[/C][C]-10.7013161899871[/C][C]-0.106646087307994[/C][/ROW]
[ROW][C]93[/C][C]1878[/C][C]1543.6842090575[/C][C]-20.0598719908321[/C][C]28.2897483456947[/C][C]0.417381256108896[/C][/ROW]
[ROW][C]94[/C][C]1342[/C][C]1466.23806586792[/C][C]-20.4922470562705[/C][C]76.7234874349687[/C][C]-0.274022526587817[/C][/ROW]
[ROW][C]95[/C][C]1605[/C][C]1493.64116225215[/C][C]-20.1455147840492[/C][C]-56.6858390208527[/C][C]0.229068955685677[/C][/ROW]
[ROW][C]96[/C][C]1796[/C][C]1555.50229017022[/C][C]-19.6691542152596[/C][C]-49.037796581805[/C][C]0.394131615923985[/C][/ROW]
[ROW][C]97[/C][C]1842[/C][C]1546.14741536731[/C][C]-19.7337827395842[/C][C]257.587206999569[/C][C]0.0521387288577984[/C][/ROW]
[ROW][C]98[/C][C]1213[/C][C]1464.6178420974[/C][C]-20.2130387903226[/C][C]-39.1103782499414[/C][C]-0.290488322715354[/C][/ROW]
[ROW][C]99[/C][C]798[/C][C]1313.31266208647[/C][C]-21.421504691012[/C][C]-67.9469900620637[/C][C]-0.612826590071865[/C][/ROW]
[ROW][C]100[/C][C]1948[/C][C]1433.0096102957[/C][C]-20.1759898724346[/C][C]30.3963744224137[/C][C]0.663454252741021[/C][/ROW]
[ROW][C]101[/C][C]832[/C][C]1322.86777293795[/C][C]-20.9232350208641[/C][C]-180.039652214305[/C][C]-0.425250632624098[/C][/ROW]
[ROW][C]102[/C][C]1588[/C][C]1316.31104235371[/C][C]-20.8102619308237[/C][C]221.819207762541[/C][C]0.0681894279422206[/C][/ROW]
[ROW][C]103[/C][C]453[/C][C]1162.91930338236[/C][C]-21.8053819313864[/C][C]-248.056356091956[/C][C]-0.631258015693097[/C][/ROW]
[ROW][C]104[/C][C]1111[/C][C]1136.52681451791[/C][C]-21.8384865425456[/C][C]-9.5037945297992[/C][C]-0.0218925398553505[/C][/ROW]
[ROW][C]105[/C][C]1390[/C][C]1165.37746141079[/C][C]-21.4846104316997[/C][C]47.1925840574093[/C][C]0.242364233656635[/C][/ROW]
[ROW][C]106[/C][C]2262[/C][C]1365.33344050409[/C][C]-19.9844511041056[/C][C]120.240570680046[/C][C]1.06034861258191[/C][/ROW]
[ROW][C]107[/C][C]1822[/C][C]1464.17236611688[/C][C]-19.2157068633381[/C][C]-59.5749777486166[/C][C]0.569857371024199[/C][/ROW]
[ROW][C]108[/C][C]2100[/C][C]1595.21142972168[/C][C]-18.4624481859477[/C][C]-26.3498418374611[/C][C]0.724140255609348[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=301830&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=301830&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
134043404000
234253408.782280489910.8868151588051270.9943596090854630.0209567803876356
336313467.138239129629.1388822187276710.67600084575270.215420076455137
441413655.0521732890230.11013705488934.19936711015510.638193645766508
532383554.8798785621417.162027406405511.6295598435929-0.463106988212104
653904060.2836474494459.333928169591774.08665996369471.76174374781973
719943538.1005499405214.8306239987725-7.03192507477163-2.14516019588782
843433754.2050053869828.688724032105341.39805524588350.760088755190577
944243941.1597406035838.615535936482640.73707929613180.611117840104725
1027623662.0927576056420.27516604681938.82956257616006-1.25152096066524
1135043631.743817103217.561788006172820.1586714593475-0.202978576259279
1242793800.0716955712625.118554590742330.42026361796410.6138031695094
1335313822.9875301254625.3809076165623-279.920446042781-0.0169411980379617
1432103663.5571934851115.96581437634615.73818859624567-0.646148783115312
1544893888.7026293352525.713332708934540.12154460345750.780077572486021
1623953522.280108580729.15321457197635-12.6745360287111-1.53873137258845
1728693367.01971922522.7948824724243-10.6789576306184-0.668796566827267
1831933319.644097163541.0001783460790726.6404524278634-0.209474519110217
1930443260.5370983079-1.00683982318738-28.7289858272616-0.255864563624393
2042093479.199897781425.8946461673758831.68698535659080.948893628647583
2155903971.2430822518520.365035524555753.4059427912872.12388778986708
2267034616.2862672002338.084511801352954.48877067946362.75350251080142
2344964613.6675584227736.978823567042915.8466738312255-0.180698761989368
2462775010.7636800970846.297408240587975.72267516666511.60927560288848
2555245221.750132152538.8279706172712-413.0656565794080.980195881329936
2644785065.9327021726832.8677620966974-12.7132538546738-0.790787863238112
2728994554.2916606503217.0604716840642.74251024035664-2.27293575787397
2822654024.705074081612.4987573628594-42.8040898201551-2.3440345612257
2925653686.51610882494-5.90823053052554-27.153814444762-1.48970450646626
3063194273.771762634867.78273014792252108.1082441133712.63125065370196
3119263761.46786747569-3.54260666868149-115.852576076842-2.33206727411679
3225913490.171072266-9.08475566349794-5.4817694211717-1.21050579767814
3358634009.787053590891.3839465559587475.61967573226442.4054834587462
3442874073.411132405392.569250785127843.118847305029970.284601105067628
3548094246.133523907545.69881809159803-15.18665321849460.781180529443445
3644554291.122504844316.379869320869429.61303255169950.18124975635517
3730474081.0584109448412.2471485828412-154.373087240988-1.1977626656546
3827573777.99429423335.43024833462392-25.5562131138061-1.36019492723736
3929863591.233123717561.35058607724079.91710648312426-0.840144930305174
4031583497.58784057919-0.511906576221898-29.1573043441521-0.422870652993754
4119613163.90726025239-6.5929004721928-97.2484578164043-1.50320020863173
4213642727.61421535061-13.964222977201878.7484791815423-1.95814788283742
4320942596.10434956525-15.8756515329192-104.148706592468-0.539680969118866
4424972569.62613593224-16.0402912885404-36.4954888327904-0.0489576570175281
4527272579.48519276723-15.653831153084558.80948258533420.120120554176892
4629492653.63883672624-14.3593659800701-13.45383558566060.417972343029915
4734792831.2905273848-11.6773966422576-14.68424768944640.896153520617046
4818582606.69742105352-14.4170181394146-10.0526819044701-0.99816805582496
4925522555.94344442688-13.7400755258318138.811344416052-0.194022804931149
5018432388.57003739534-16.2708515885911-43.5434827316433-0.68479399347472
5126392429.94746803936-15.303003194778919.70560212172470.258455903996751
5214952215.74090432331-18.4048050845411-57.2961086543266-0.903918310217125
5321972211.44622058322-18.1993713126216-62.06884740235940.0647893035445198
5428612321.13058825223-16.4446940811325104.4579270048480.591723187020859
5518312226.25374554647-17.4675377401094-126.448991632338-0.365007095904127
5625162282.84742946685-16.5427816942602-21.9489905444910.346183968015967
5721362228.28438797433-17.000158366403739.1841756863251-0.178322518223962
5824322264.73532025483-16.3774901575318-18.1247252000110.251364533279619
5916232115.46334361977-17.8787968155638-30.3552044443797-0.626346680121084
6015351976.82821892934-19.0980658586865-19.5007790628296-0.571714926765253
6129262103.84107929868-21.0942273728651260.3518270964860.763498399158183
6215481978.18365274679-22.4673125577594-81.3112961375743-0.475823819337413
6319131938.0137258427-22.713658940510934.0382359583078-0.0806499622331323
6420921967.43475813181-22.0356519434312-51.44605339348960.24005585664839
6515741882.30081733892-22.8033578666448-93.226140072334-0.292990708926299
6613711730.32051602647-24.287051450935584.1449941889806-0.60359303670777
6725701919.70555675902-21.9505088095851-87.19668911576641.00312454554439
6827752094.72344714651-19.8847613012268-2.351561931357340.928033567530278
6919432043.32433738381-20.20372290070669.23991567707724-0.14889471545752
7034312325.4682833887-17.236019610833151.76355787883231.43159962738579
7117792204.78650886129-18.2193698955272-64.4581241083001-0.490733159651906
7226282285.77292767872-17.4052112972456-6.371705686153230.472817852985189
7331082388.29217040567-18.6489280649234265.5594078558840.617578924822743
7411882131.86834493165-21.2147819115272-139.579872710669-1.0975607619206
7516141991.18705713375-22.635894075910625.4087000547921-0.550368129979487
7610781783.00775089396-24.7131231577842-73.7093222514967-0.862121657483825
7714331702.57035568437-25.2978425548094-78.436624307994-0.260765308790323
7831671982.10492368129-22.2746832098578132.9605860835131.43410560783607
7912181830.07078885418-23.5012748493072-162.239424909667-0.612915676492844
8019221829.88198161195-23.289681137580611.02020074097230.110452600597895
8131112089.16530168651-20.811768914083536.1995126529621.34196286738976
8234432353.05312148588-18.388709633694494.79218540859691.35456787686932
8320942305.35634173268-18.6295212460027-108.706470706985-0.139681600742106
847501965.88602032019-20.8235791266327-85.2083993570044-1.53646907569177
8512971749.18465876597-19.2520606653201281.109436769194-0.998113386662805
8625861936.78163257675-17.376334672461-57.18529392596140.964766659649093
876011627.37554006899-20.4104560604358-35.141350534404-1.35648494074453
8818461666.66129389114-19.82198456557-24.86078993033130.279227393497346
8911741569.24193760828-20.5402968614734-127.954790441539-0.365193724806319
9024201700.87717051923-19.2076829059699192.1672223554050.719518692606153
917421519.84836832213-20.559460375621-215.252243894778-0.767812326759747
9213881476.87247677734-20.7394061500868-10.7013161899871-0.106646087307994
9318781543.6842090575-20.059871990832128.28974834569470.417381256108896
9413421466.23806586792-20.492247056270576.7234874349687-0.274022526587817
9516051493.64116225215-20.1455147840492-56.68583902085270.229068955685677
9617961555.50229017022-19.6691542152596-49.0377965818050.394131615923985
9718421546.14741536731-19.7337827395842257.5872069995690.0521387288577984
9812131464.6178420974-20.2130387903226-39.1103782499414-0.290488322715354
997981313.31266208647-21.421504691012-67.9469900620637-0.612826590071865
10019481433.0096102957-20.175989872434630.39637442241370.663454252741021
1018321322.86777293795-20.9232350208641-180.039652214305-0.425250632624098
10215881316.31104235371-20.8102619308237221.8192077625410.0681894279422206
1034531162.91930338236-21.8053819313864-248.056356091956-0.631258015693097
10411111136.52681451791-21.8384865425456-9.5037945297992-0.0218925398553505
10513901165.37746141079-21.484610431699747.19258405740930.242364233656635
10622621365.33344050409-19.9844511041056120.2405706800461.06034861258191
10718221464.17236611688-19.2157068633381-59.57497774861660.569857371024199
10821001595.21142972168-18.4624481859477-26.34984183746110.724140255609348







Structural Time Series Model -- Extrapolation
tObservedLevelSeasonal
12051.313721611211846.50549918369204.808222427522
21881.592095355121965.97148750173-84.3793921466028
31269.510688314922085.43747581976-815.926787504835
42426.748025803452204.90346413779221.84456166566
51657.663568206622324.36945245582-666.7058842492
62805.26199336732443.83544077386361.426552593441
71806.544109555672563.30142909189-756.757319536213
82646.617334159562682.76741740992-36.1500832503589
93075.048951413492802.23340572795272.815545685536
103694.763404643122921.69939404599773.064010597139
113263.975806475053041.16538236402222.810424111034
123463.781520288933160.63137068205303.150149606877
133484.90558142763280.09735900008204.808222427522
143315.183955171513399.56334731812-84.3793921466025
152703.102548131313519.02933563615-815.926787504836
163860.339885619843638.49532395418221.84456166566
173091.255428023013757.96131227221-666.7058842492
184238.853853183693877.42730059025361.426552593441

\begin{tabular}{lllllllll}
\hline
Structural Time Series Model -- Extrapolation \tabularnewline
t & Observed & Level & Seasonal \tabularnewline
1 & 2051.31372161121 & 1846.50549918369 & 204.808222427522 \tabularnewline
2 & 1881.59209535512 & 1965.97148750173 & -84.3793921466028 \tabularnewline
3 & 1269.51068831492 & 2085.43747581976 & -815.926787504835 \tabularnewline
4 & 2426.74802580345 & 2204.90346413779 & 221.84456166566 \tabularnewline
5 & 1657.66356820662 & 2324.36945245582 & -666.7058842492 \tabularnewline
6 & 2805.2619933673 & 2443.83544077386 & 361.426552593441 \tabularnewline
7 & 1806.54410955567 & 2563.30142909189 & -756.757319536213 \tabularnewline
8 & 2646.61733415956 & 2682.76741740992 & -36.1500832503589 \tabularnewline
9 & 3075.04895141349 & 2802.23340572795 & 272.815545685536 \tabularnewline
10 & 3694.76340464312 & 2921.69939404599 & 773.064010597139 \tabularnewline
11 & 3263.97580647505 & 3041.16538236402 & 222.810424111034 \tabularnewline
12 & 3463.78152028893 & 3160.63137068205 & 303.150149606877 \tabularnewline
13 & 3484.9055814276 & 3280.09735900008 & 204.808222427522 \tabularnewline
14 & 3315.18395517151 & 3399.56334731812 & -84.3793921466025 \tabularnewline
15 & 2703.10254813131 & 3519.02933563615 & -815.926787504836 \tabularnewline
16 & 3860.33988561984 & 3638.49532395418 & 221.84456166566 \tabularnewline
17 & 3091.25542802301 & 3757.96131227221 & -666.7058842492 \tabularnewline
18 & 4238.85385318369 & 3877.42730059025 & 361.426552593441 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=301830&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]2051.31372161121[/C][C]1846.50549918369[/C][C]204.808222427522[/C][/ROW]
[ROW][C]2[/C][C]1881.59209535512[/C][C]1965.97148750173[/C][C]-84.3793921466028[/C][/ROW]
[ROW][C]3[/C][C]1269.51068831492[/C][C]2085.43747581976[/C][C]-815.926787504835[/C][/ROW]
[ROW][C]4[/C][C]2426.74802580345[/C][C]2204.90346413779[/C][C]221.84456166566[/C][/ROW]
[ROW][C]5[/C][C]1657.66356820662[/C][C]2324.36945245582[/C][C]-666.7058842492[/C][/ROW]
[ROW][C]6[/C][C]2805.2619933673[/C][C]2443.83544077386[/C][C]361.426552593441[/C][/ROW]
[ROW][C]7[/C][C]1806.54410955567[/C][C]2563.30142909189[/C][C]-756.757319536213[/C][/ROW]
[ROW][C]8[/C][C]2646.61733415956[/C][C]2682.76741740992[/C][C]-36.1500832503589[/C][/ROW]
[ROW][C]9[/C][C]3075.04895141349[/C][C]2802.23340572795[/C][C]272.815545685536[/C][/ROW]
[ROW][C]10[/C][C]3694.76340464312[/C][C]2921.69939404599[/C][C]773.064010597139[/C][/ROW]
[ROW][C]11[/C][C]3263.97580647505[/C][C]3041.16538236402[/C][C]222.810424111034[/C][/ROW]
[ROW][C]12[/C][C]3463.78152028893[/C][C]3160.63137068205[/C][C]303.150149606877[/C][/ROW]
[ROW][C]13[/C][C]3484.9055814276[/C][C]3280.09735900008[/C][C]204.808222427522[/C][/ROW]
[ROW][C]14[/C][C]3315.18395517151[/C][C]3399.56334731812[/C][C]-84.3793921466025[/C][/ROW]
[ROW][C]15[/C][C]2703.10254813131[/C][C]3519.02933563615[/C][C]-815.926787504836[/C][/ROW]
[ROW][C]16[/C][C]3860.33988561984[/C][C]3638.49532395418[/C][C]221.84456166566[/C][/ROW]
[ROW][C]17[/C][C]3091.25542802301[/C][C]3757.96131227221[/C][C]-666.7058842492[/C][/ROW]
[ROW][C]18[/C][C]4238.85385318369[/C][C]3877.42730059025[/C][C]361.426552593441[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=301830&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=301830&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
12051.313721611211846.50549918369204.808222427522
21881.592095355121965.97148750173-84.3793921466028
31269.510688314922085.43747581976-815.926787504835
42426.748025803452204.90346413779221.84456166566
51657.663568206622324.36945245582-666.7058842492
62805.26199336732443.83544077386361.426552593441
71806.544109555672563.30142909189-756.757319536213
82646.617334159562682.76741740992-36.1500832503589
93075.048951413492802.23340572795272.815545685536
103694.763404643122921.69939404599773.064010597139
113263.975806475053041.16538236402222.810424111034
123463.781520288933160.63137068205303.150149606877
133484.90558142763280.09735900008204.808222427522
143315.183955171513399.56334731812-84.3793921466025
152703.102548131313519.02933563615-815.926787504836
163860.339885619843638.49532395418221.84456166566
173091.255428023013757.96131227221-666.7058842492
184238.853853183693877.42730059025361.426552593441



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