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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 computationTue, 20 Dec 2016 16:07:03 +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/20/t1482246738l10vlkvbm68dn4j.htm/, Retrieved Sat, 27 Apr 2024 13:19:08 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=301701, Retrieved Sat, 27 Apr 2024 13:19:08 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact67
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Structural Time Series Models] [forecast Nheizo] [2016-12-20 15:07:03] [c383a3f496d779b12e2493a523dfe438] [Current]
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Dataseries X:
7300
3550
6050
7350
4850
6100
6400
5050
4950
6950
6600
6100
5550
4950
5000
5950
6000
5950
6950
5300
4200
5250
5350
6350
7150
4850
5850
5300
6650
5850
5800
5750
5300
5600
6250
6100
5950
5250
7000
4800
5100
6150
5550
5350
5100
4750
4850
6100
6300
5450
5950




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=301701&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=301701&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=301701&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
173007300000
235505379.02746466011-588.619764558411-588.022704689024-2.69945683784158
360505565.12463696018-410.553757655903-410.8935991491681.60982169440776
473506113.95147176428-234.44782574796-237.4017124151482.45219985432575
548505614.68693731968-275.009709906105-276.679546348197-0.777996721438996
661005661.40041055824-232.485761259402-236.5833434123431.04706736085302
764005393.28808290752-233.6218045100591181.57676218359-0.240835452295005
850505202.47860884193-228.870651183873-232.0460196730920.125615332660177
949505036.97386816847-222.465903084633-226.5913193418320.21346781085208
1069505482.79583809961-159.736313791123-176.7341499746182.46583718959557
1166005714.38451597256-125.043566028819-151.3691442381551.53636284076993
1261005761.49348022787-110.424024037711-141.6610251481810.705518935289563
1355505484.30237265188-119.519572562079691.424927302609-0.890515253200883
1449505288.9782457686-125.861416942819-142.308778657204-0.29180205929565
1550005157.64848384011-126.304880021849-142.557284019313-0.0221743862154565
1659505302.56028588022-104.778934437009-132.029776292371.1380858159834
1760005432.27373014929-86.4345485248851-124.2727873320361.00613896617333
1859505526.60939623294-72.4246181651752-119.1876898386940.786683832254959
1969505654.4139289794-59.0297827986895628.162625988260.969764497029857
2053005551.69628346374-62.4506002672598-127.001905494659-0.18205576338801
2142005195.69494351683-85.2103642228535-134.646569992483-1.25180424675988
2252505178.93192647621-79.9354677588994-133.1729706462830.296107333778555
2353505194.25748130316-72.6201953657907-131.4859055147590.415674269948638
2463505457.58086385371-46.8732342698738-126.6167308031161.47303832993075
2571505668.02865488117-28.1352324040087680.6125497413051.17816487928784
2648505474.82619240748-40.8668765339198-139.534936337936-0.704835971946099
2758505572.83701652247-30.1936700592411-137.2226777881170.600410087267151
2853005516.44260110021-32.2033134432927-137.570902654981-0.114103117481083
2966505807.17907645923-7.45855540107926-134.1785716075751.41204541524603
3058505845.3640310103-3.96291427948097-133.8039680264130.199964791245949
3158005672.48661734873-16.656281885181637.141008670918-0.752936574066841
3257505711.39034891551-12.3910322805322-126.5659358041560.23940308730089
3353005631.13095106128-17.5934330761226-127.394325157434-0.294807647320881
3456005641.80342619529-15.4282066947838-127.1265885993540.123335188714568
3562505812.45355712392-1.17808883704379-125.7807694855290.813771474508094
3661005913.9595981226.68489756766553-125.2252174432870.44947407955339
3759505777.3063926174-4.20637666179974599.773925140605-0.631731470504601
3852505672.32479173307-11.928511809753-121.260577837096-0.435947670868866
3970006023.8145318633815.9001402724413-117.6078714594021.58178191334117
4048005761.25669793897-5.41834701105714-119.742984994981-1.21596682494219
4151005622.9400498134-15.5929284105713-120.504162009359-0.581223825037762
4261505771.71152626326-3.0086108374934-119.8204534709280.719191234205733
4355505571.30891669249-18.0637732531858564.427722829577-0.866064336424683
4453505530.68886813185-19.7909725633633-113.146238979325-0.0977575162272688
4551005436.87141596642-25.4572456251506-113.805614332286-0.322491015747593
4647505275.54168668459-35.8571523606226-114.721394534846-0.593519628754416
4748505171.51358081897-41.0755772027462-115.060932291024-0.298140859306334
4861005399.32714265828-20.490148449785-114.1028075126361.17633886405407
4963005463.70285597895-14.0093619744244584.6633128657760.37170194019539
5054505478.93997055251-11.7704214746839-116.6205372145640.126870914122714
5159505616.16570616883-0.367159157282465-115.3982057896740.649361377793045

\begin{tabular}{lllllllll}
\hline
Structural Time Series Model -- Interpolation \tabularnewline
t & Observed & Level & Slope & Seasonal & Stand. Residuals \tabularnewline
1 & 7300 & 7300 & 0 & 0 & 0 \tabularnewline
2 & 3550 & 5379.02746466011 & -588.619764558411 & -588.022704689024 & -2.69945683784158 \tabularnewline
3 & 6050 & 5565.12463696018 & -410.553757655903 & -410.893599149168 & 1.60982169440776 \tabularnewline
4 & 7350 & 6113.95147176428 & -234.44782574796 & -237.401712415148 & 2.45219985432575 \tabularnewline
5 & 4850 & 5614.68693731968 & -275.009709906105 & -276.679546348197 & -0.777996721438996 \tabularnewline
6 & 6100 & 5661.40041055824 & -232.485761259402 & -236.583343412343 & 1.04706736085302 \tabularnewline
7 & 6400 & 5393.28808290752 & -233.621804510059 & 1181.57676218359 & -0.240835452295005 \tabularnewline
8 & 5050 & 5202.47860884193 & -228.870651183873 & -232.046019673092 & 0.125615332660177 \tabularnewline
9 & 4950 & 5036.97386816847 & -222.465903084633 & -226.591319341832 & 0.21346781085208 \tabularnewline
10 & 6950 & 5482.79583809961 & -159.736313791123 & -176.734149974618 & 2.46583718959557 \tabularnewline
11 & 6600 & 5714.38451597256 & -125.043566028819 & -151.369144238155 & 1.53636284076993 \tabularnewline
12 & 6100 & 5761.49348022787 & -110.424024037711 & -141.661025148181 & 0.705518935289563 \tabularnewline
13 & 5550 & 5484.30237265188 & -119.519572562079 & 691.424927302609 & -0.890515253200883 \tabularnewline
14 & 4950 & 5288.9782457686 & -125.861416942819 & -142.308778657204 & -0.29180205929565 \tabularnewline
15 & 5000 & 5157.64848384011 & -126.304880021849 & -142.557284019313 & -0.0221743862154565 \tabularnewline
16 & 5950 & 5302.56028588022 & -104.778934437009 & -132.02977629237 & 1.1380858159834 \tabularnewline
17 & 6000 & 5432.27373014929 & -86.4345485248851 & -124.272787332036 & 1.00613896617333 \tabularnewline
18 & 5950 & 5526.60939623294 & -72.4246181651752 & -119.187689838694 & 0.786683832254959 \tabularnewline
19 & 6950 & 5654.4139289794 & -59.0297827986895 & 628.16262598826 & 0.969764497029857 \tabularnewline
20 & 5300 & 5551.69628346374 & -62.4506002672598 & -127.001905494659 & -0.18205576338801 \tabularnewline
21 & 4200 & 5195.69494351683 & -85.2103642228535 & -134.646569992483 & -1.25180424675988 \tabularnewline
22 & 5250 & 5178.93192647621 & -79.9354677588994 & -133.172970646283 & 0.296107333778555 \tabularnewline
23 & 5350 & 5194.25748130316 & -72.6201953657907 & -131.485905514759 & 0.415674269948638 \tabularnewline
24 & 6350 & 5457.58086385371 & -46.8732342698738 & -126.616730803116 & 1.47303832993075 \tabularnewline
25 & 7150 & 5668.02865488117 & -28.1352324040087 & 680.612549741305 & 1.17816487928784 \tabularnewline
26 & 4850 & 5474.82619240748 & -40.8668765339198 & -139.534936337936 & -0.704835971946099 \tabularnewline
27 & 5850 & 5572.83701652247 & -30.1936700592411 & -137.222677788117 & 0.600410087267151 \tabularnewline
28 & 5300 & 5516.44260110021 & -32.2033134432927 & -137.570902654981 & -0.114103117481083 \tabularnewline
29 & 6650 & 5807.17907645923 & -7.45855540107926 & -134.178571607575 & 1.41204541524603 \tabularnewline
30 & 5850 & 5845.3640310103 & -3.96291427948097 & -133.803968026413 & 0.199964791245949 \tabularnewline
31 & 5800 & 5672.48661734873 & -16.656281885181 & 637.141008670918 & -0.752936574066841 \tabularnewline
32 & 5750 & 5711.39034891551 & -12.3910322805322 & -126.565935804156 & 0.23940308730089 \tabularnewline
33 & 5300 & 5631.13095106128 & -17.5934330761226 & -127.394325157434 & -0.294807647320881 \tabularnewline
34 & 5600 & 5641.80342619529 & -15.4282066947838 & -127.126588599354 & 0.123335188714568 \tabularnewline
35 & 6250 & 5812.45355712392 & -1.17808883704379 & -125.780769485529 & 0.813771474508094 \tabularnewline
36 & 6100 & 5913.959598122 & 6.68489756766553 & -125.225217443287 & 0.44947407955339 \tabularnewline
37 & 5950 & 5777.3063926174 & -4.20637666179974 & 599.773925140605 & -0.631731470504601 \tabularnewline
38 & 5250 & 5672.32479173307 & -11.928511809753 & -121.260577837096 & -0.435947670868866 \tabularnewline
39 & 7000 & 6023.81453186338 & 15.9001402724413 & -117.607871459402 & 1.58178191334117 \tabularnewline
40 & 4800 & 5761.25669793897 & -5.41834701105714 & -119.742984994981 & -1.21596682494219 \tabularnewline
41 & 5100 & 5622.9400498134 & -15.5929284105713 & -120.504162009359 & -0.581223825037762 \tabularnewline
42 & 6150 & 5771.71152626326 & -3.0086108374934 & -119.820453470928 & 0.719191234205733 \tabularnewline
43 & 5550 & 5571.30891669249 & -18.0637732531858 & 564.427722829577 & -0.866064336424683 \tabularnewline
44 & 5350 & 5530.68886813185 & -19.7909725633633 & -113.146238979325 & -0.0977575162272688 \tabularnewline
45 & 5100 & 5436.87141596642 & -25.4572456251506 & -113.805614332286 & -0.322491015747593 \tabularnewline
46 & 4750 & 5275.54168668459 & -35.8571523606226 & -114.721394534846 & -0.593519628754416 \tabularnewline
47 & 4850 & 5171.51358081897 & -41.0755772027462 & -115.060932291024 & -0.298140859306334 \tabularnewline
48 & 6100 & 5399.32714265828 & -20.490148449785 & -114.102807512636 & 1.17633886405407 \tabularnewline
49 & 6300 & 5463.70285597895 & -14.0093619744244 & 584.663312865776 & 0.37170194019539 \tabularnewline
50 & 5450 & 5478.93997055251 & -11.7704214746839 & -116.620537214564 & 0.126870914122714 \tabularnewline
51 & 5950 & 5616.16570616883 & -0.367159157282465 & -115.398205789674 & 0.649361377793045 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=301701&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]7300[/C][C]7300[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]3550[/C][C]5379.02746466011[/C][C]-588.619764558411[/C][C]-588.022704689024[/C][C]-2.69945683784158[/C][/ROW]
[ROW][C]3[/C][C]6050[/C][C]5565.12463696018[/C][C]-410.553757655903[/C][C]-410.893599149168[/C][C]1.60982169440776[/C][/ROW]
[ROW][C]4[/C][C]7350[/C][C]6113.95147176428[/C][C]-234.44782574796[/C][C]-237.401712415148[/C][C]2.45219985432575[/C][/ROW]
[ROW][C]5[/C][C]4850[/C][C]5614.68693731968[/C][C]-275.009709906105[/C][C]-276.679546348197[/C][C]-0.777996721438996[/C][/ROW]
[ROW][C]6[/C][C]6100[/C][C]5661.40041055824[/C][C]-232.485761259402[/C][C]-236.583343412343[/C][C]1.04706736085302[/C][/ROW]
[ROW][C]7[/C][C]6400[/C][C]5393.28808290752[/C][C]-233.621804510059[/C][C]1181.57676218359[/C][C]-0.240835452295005[/C][/ROW]
[ROW][C]8[/C][C]5050[/C][C]5202.47860884193[/C][C]-228.870651183873[/C][C]-232.046019673092[/C][C]0.125615332660177[/C][/ROW]
[ROW][C]9[/C][C]4950[/C][C]5036.97386816847[/C][C]-222.465903084633[/C][C]-226.591319341832[/C][C]0.21346781085208[/C][/ROW]
[ROW][C]10[/C][C]6950[/C][C]5482.79583809961[/C][C]-159.736313791123[/C][C]-176.734149974618[/C][C]2.46583718959557[/C][/ROW]
[ROW][C]11[/C][C]6600[/C][C]5714.38451597256[/C][C]-125.043566028819[/C][C]-151.369144238155[/C][C]1.53636284076993[/C][/ROW]
[ROW][C]12[/C][C]6100[/C][C]5761.49348022787[/C][C]-110.424024037711[/C][C]-141.661025148181[/C][C]0.705518935289563[/C][/ROW]
[ROW][C]13[/C][C]5550[/C][C]5484.30237265188[/C][C]-119.519572562079[/C][C]691.424927302609[/C][C]-0.890515253200883[/C][/ROW]
[ROW][C]14[/C][C]4950[/C][C]5288.9782457686[/C][C]-125.861416942819[/C][C]-142.308778657204[/C][C]-0.29180205929565[/C][/ROW]
[ROW][C]15[/C][C]5000[/C][C]5157.64848384011[/C][C]-126.304880021849[/C][C]-142.557284019313[/C][C]-0.0221743862154565[/C][/ROW]
[ROW][C]16[/C][C]5950[/C][C]5302.56028588022[/C][C]-104.778934437009[/C][C]-132.02977629237[/C][C]1.1380858159834[/C][/ROW]
[ROW][C]17[/C][C]6000[/C][C]5432.27373014929[/C][C]-86.4345485248851[/C][C]-124.272787332036[/C][C]1.00613896617333[/C][/ROW]
[ROW][C]18[/C][C]5950[/C][C]5526.60939623294[/C][C]-72.4246181651752[/C][C]-119.187689838694[/C][C]0.786683832254959[/C][/ROW]
[ROW][C]19[/C][C]6950[/C][C]5654.4139289794[/C][C]-59.0297827986895[/C][C]628.16262598826[/C][C]0.969764497029857[/C][/ROW]
[ROW][C]20[/C][C]5300[/C][C]5551.69628346374[/C][C]-62.4506002672598[/C][C]-127.001905494659[/C][C]-0.18205576338801[/C][/ROW]
[ROW][C]21[/C][C]4200[/C][C]5195.69494351683[/C][C]-85.2103642228535[/C][C]-134.646569992483[/C][C]-1.25180424675988[/C][/ROW]
[ROW][C]22[/C][C]5250[/C][C]5178.93192647621[/C][C]-79.9354677588994[/C][C]-133.172970646283[/C][C]0.296107333778555[/C][/ROW]
[ROW][C]23[/C][C]5350[/C][C]5194.25748130316[/C][C]-72.6201953657907[/C][C]-131.485905514759[/C][C]0.415674269948638[/C][/ROW]
[ROW][C]24[/C][C]6350[/C][C]5457.58086385371[/C][C]-46.8732342698738[/C][C]-126.616730803116[/C][C]1.47303832993075[/C][/ROW]
[ROW][C]25[/C][C]7150[/C][C]5668.02865488117[/C][C]-28.1352324040087[/C][C]680.612549741305[/C][C]1.17816487928784[/C][/ROW]
[ROW][C]26[/C][C]4850[/C][C]5474.82619240748[/C][C]-40.8668765339198[/C][C]-139.534936337936[/C][C]-0.704835971946099[/C][/ROW]
[ROW][C]27[/C][C]5850[/C][C]5572.83701652247[/C][C]-30.1936700592411[/C][C]-137.222677788117[/C][C]0.600410087267151[/C][/ROW]
[ROW][C]28[/C][C]5300[/C][C]5516.44260110021[/C][C]-32.2033134432927[/C][C]-137.570902654981[/C][C]-0.114103117481083[/C][/ROW]
[ROW][C]29[/C][C]6650[/C][C]5807.17907645923[/C][C]-7.45855540107926[/C][C]-134.178571607575[/C][C]1.41204541524603[/C][/ROW]
[ROW][C]30[/C][C]5850[/C][C]5845.3640310103[/C][C]-3.96291427948097[/C][C]-133.803968026413[/C][C]0.199964791245949[/C][/ROW]
[ROW][C]31[/C][C]5800[/C][C]5672.48661734873[/C][C]-16.656281885181[/C][C]637.141008670918[/C][C]-0.752936574066841[/C][/ROW]
[ROW][C]32[/C][C]5750[/C][C]5711.39034891551[/C][C]-12.3910322805322[/C][C]-126.565935804156[/C][C]0.23940308730089[/C][/ROW]
[ROW][C]33[/C][C]5300[/C][C]5631.13095106128[/C][C]-17.5934330761226[/C][C]-127.394325157434[/C][C]-0.294807647320881[/C][/ROW]
[ROW][C]34[/C][C]5600[/C][C]5641.80342619529[/C][C]-15.4282066947838[/C][C]-127.126588599354[/C][C]0.123335188714568[/C][/ROW]
[ROW][C]35[/C][C]6250[/C][C]5812.45355712392[/C][C]-1.17808883704379[/C][C]-125.780769485529[/C][C]0.813771474508094[/C][/ROW]
[ROW][C]36[/C][C]6100[/C][C]5913.959598122[/C][C]6.68489756766553[/C][C]-125.225217443287[/C][C]0.44947407955339[/C][/ROW]
[ROW][C]37[/C][C]5950[/C][C]5777.3063926174[/C][C]-4.20637666179974[/C][C]599.773925140605[/C][C]-0.631731470504601[/C][/ROW]
[ROW][C]38[/C][C]5250[/C][C]5672.32479173307[/C][C]-11.928511809753[/C][C]-121.260577837096[/C][C]-0.435947670868866[/C][/ROW]
[ROW][C]39[/C][C]7000[/C][C]6023.81453186338[/C][C]15.9001402724413[/C][C]-117.607871459402[/C][C]1.58178191334117[/C][/ROW]
[ROW][C]40[/C][C]4800[/C][C]5761.25669793897[/C][C]-5.41834701105714[/C][C]-119.742984994981[/C][C]-1.21596682494219[/C][/ROW]
[ROW][C]41[/C][C]5100[/C][C]5622.9400498134[/C][C]-15.5929284105713[/C][C]-120.504162009359[/C][C]-0.581223825037762[/C][/ROW]
[ROW][C]42[/C][C]6150[/C][C]5771.71152626326[/C][C]-3.0086108374934[/C][C]-119.820453470928[/C][C]0.719191234205733[/C][/ROW]
[ROW][C]43[/C][C]5550[/C][C]5571.30891669249[/C][C]-18.0637732531858[/C][C]564.427722829577[/C][C]-0.866064336424683[/C][/ROW]
[ROW][C]44[/C][C]5350[/C][C]5530.68886813185[/C][C]-19.7909725633633[/C][C]-113.146238979325[/C][C]-0.0977575162272688[/C][/ROW]
[ROW][C]45[/C][C]5100[/C][C]5436.87141596642[/C][C]-25.4572456251506[/C][C]-113.805614332286[/C][C]-0.322491015747593[/C][/ROW]
[ROW][C]46[/C][C]4750[/C][C]5275.54168668459[/C][C]-35.8571523606226[/C][C]-114.721394534846[/C][C]-0.593519628754416[/C][/ROW]
[ROW][C]47[/C][C]4850[/C][C]5171.51358081897[/C][C]-41.0755772027462[/C][C]-115.060932291024[/C][C]-0.298140859306334[/C][/ROW]
[ROW][C]48[/C][C]6100[/C][C]5399.32714265828[/C][C]-20.490148449785[/C][C]-114.102807512636[/C][C]1.17633886405407[/C][/ROW]
[ROW][C]49[/C][C]6300[/C][C]5463.70285597895[/C][C]-14.0093619744244[/C][C]584.663312865776[/C][C]0.37170194019539[/C][/ROW]
[ROW][C]50[/C][C]5450[/C][C]5478.93997055251[/C][C]-11.7704214746839[/C][C]-116.620537214564[/C][C]0.126870914122714[/C][/ROW]
[ROW][C]51[/C][C]5950[/C][C]5616.16570616883[/C][C]-0.367159157282465[/C][C]-115.398205789674[/C][C]0.649361377793045[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=301701&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=301701&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
173007300000
235505379.02746466011-588.619764558411-588.022704689024-2.69945683784158
360505565.12463696018-410.553757655903-410.8935991491681.60982169440776
473506113.95147176428-234.44782574796-237.4017124151482.45219985432575
548505614.68693731968-275.009709906105-276.679546348197-0.777996721438996
661005661.40041055824-232.485761259402-236.5833434123431.04706736085302
764005393.28808290752-233.6218045100591181.57676218359-0.240835452295005
850505202.47860884193-228.870651183873-232.0460196730920.125615332660177
949505036.97386816847-222.465903084633-226.5913193418320.21346781085208
1069505482.79583809961-159.736313791123-176.7341499746182.46583718959557
1166005714.38451597256-125.043566028819-151.3691442381551.53636284076993
1261005761.49348022787-110.424024037711-141.6610251481810.705518935289563
1355505484.30237265188-119.519572562079691.424927302609-0.890515253200883
1449505288.9782457686-125.861416942819-142.308778657204-0.29180205929565
1550005157.64848384011-126.304880021849-142.557284019313-0.0221743862154565
1659505302.56028588022-104.778934437009-132.029776292371.1380858159834
1760005432.27373014929-86.4345485248851-124.2727873320361.00613896617333
1859505526.60939623294-72.4246181651752-119.1876898386940.786683832254959
1969505654.4139289794-59.0297827986895628.162625988260.969764497029857
2053005551.69628346374-62.4506002672598-127.001905494659-0.18205576338801
2142005195.69494351683-85.2103642228535-134.646569992483-1.25180424675988
2252505178.93192647621-79.9354677588994-133.1729706462830.296107333778555
2353505194.25748130316-72.6201953657907-131.4859055147590.415674269948638
2463505457.58086385371-46.8732342698738-126.6167308031161.47303832993075
2571505668.02865488117-28.1352324040087680.6125497413051.17816487928784
2648505474.82619240748-40.8668765339198-139.534936337936-0.704835971946099
2758505572.83701652247-30.1936700592411-137.2226777881170.600410087267151
2853005516.44260110021-32.2033134432927-137.570902654981-0.114103117481083
2966505807.17907645923-7.45855540107926-134.1785716075751.41204541524603
3058505845.3640310103-3.96291427948097-133.8039680264130.199964791245949
3158005672.48661734873-16.656281885181637.141008670918-0.752936574066841
3257505711.39034891551-12.3910322805322-126.5659358041560.23940308730089
3353005631.13095106128-17.5934330761226-127.394325157434-0.294807647320881
3456005641.80342619529-15.4282066947838-127.1265885993540.123335188714568
3562505812.45355712392-1.17808883704379-125.7807694855290.813771474508094
3661005913.9595981226.68489756766553-125.2252174432870.44947407955339
3759505777.3063926174-4.20637666179974599.773925140605-0.631731470504601
3852505672.32479173307-11.928511809753-121.260577837096-0.435947670868866
3970006023.8145318633815.9001402724413-117.6078714594021.58178191334117
4048005761.25669793897-5.41834701105714-119.742984994981-1.21596682494219
4151005622.9400498134-15.5929284105713-120.504162009359-0.581223825037762
4261505771.71152626326-3.0086108374934-119.8204534709280.719191234205733
4355505571.30891669249-18.0637732531858564.427722829577-0.866064336424683
4453505530.68886813185-19.7909725633633-113.146238979325-0.0977575162272688
4551005436.87141596642-25.4572456251506-113.805614332286-0.322491015747593
4647505275.54168668459-35.8571523606226-114.721394534846-0.593519628754416
4748505171.51358081897-41.0755772027462-115.060932291024-0.298140859306334
4861005399.32714265828-20.490148449785-114.1028075126361.17633886405407
4963005463.70285597895-14.0093619744244584.6633128657760.37170194019539
5054505478.93997055251-11.7704214746839-116.6205372145640.126870914122714
5159505616.16570616883-0.367159157282465-115.3982057896740.649361377793045







Structural Time Series Model -- Extrapolation
tObservedLevelSeasonal
15478.126046418915979.52013739726-501.394090978353
25677.097527694726087.5112518264-410.413724131678
36803.45180833126195.50236625554607.949442075662
46823.971476465396303.49348068468520.477995780714
56117.478958644766411.48459511381-294.005636469057
66596.861723265676519.4757095429577.3860137227123
76126.072732993746627.46682397209-501.394090978353
86325.044214269556735.45793840123-410.413724131678
97451.398494906036843.44905283037607.949442075662
107471.918163040226951.44016725951520.477995780714
116765.425645219597059.43128168865-294.005636469057
127244.80840984057167.4223961177977.3860137227122

\begin{tabular}{lllllllll}
\hline
Structural Time Series Model -- Extrapolation \tabularnewline
t & Observed & Level & Seasonal \tabularnewline
1 & 5478.12604641891 & 5979.52013739726 & -501.394090978353 \tabularnewline
2 & 5677.09752769472 & 6087.5112518264 & -410.413724131678 \tabularnewline
3 & 6803.4518083312 & 6195.50236625554 & 607.949442075662 \tabularnewline
4 & 6823.97147646539 & 6303.49348068468 & 520.477995780714 \tabularnewline
5 & 6117.47895864476 & 6411.48459511381 & -294.005636469057 \tabularnewline
6 & 6596.86172326567 & 6519.47570954295 & 77.3860137227123 \tabularnewline
7 & 6126.07273299374 & 6627.46682397209 & -501.394090978353 \tabularnewline
8 & 6325.04421426955 & 6735.45793840123 & -410.413724131678 \tabularnewline
9 & 7451.39849490603 & 6843.44905283037 & 607.949442075662 \tabularnewline
10 & 7471.91816304022 & 6951.44016725951 & 520.477995780714 \tabularnewline
11 & 6765.42564521959 & 7059.43128168865 & -294.005636469057 \tabularnewline
12 & 7244.8084098405 & 7167.42239611779 & 77.3860137227122 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=301701&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]5478.12604641891[/C][C]5979.52013739726[/C][C]-501.394090978353[/C][/ROW]
[ROW][C]2[/C][C]5677.09752769472[/C][C]6087.5112518264[/C][C]-410.413724131678[/C][/ROW]
[ROW][C]3[/C][C]6803.4518083312[/C][C]6195.50236625554[/C][C]607.949442075662[/C][/ROW]
[ROW][C]4[/C][C]6823.97147646539[/C][C]6303.49348068468[/C][C]520.477995780714[/C][/ROW]
[ROW][C]5[/C][C]6117.47895864476[/C][C]6411.48459511381[/C][C]-294.005636469057[/C][/ROW]
[ROW][C]6[/C][C]6596.86172326567[/C][C]6519.47570954295[/C][C]77.3860137227123[/C][/ROW]
[ROW][C]7[/C][C]6126.07273299374[/C][C]6627.46682397209[/C][C]-501.394090978353[/C][/ROW]
[ROW][C]8[/C][C]6325.04421426955[/C][C]6735.45793840123[/C][C]-410.413724131678[/C][/ROW]
[ROW][C]9[/C][C]7451.39849490603[/C][C]6843.44905283037[/C][C]607.949442075662[/C][/ROW]
[ROW][C]10[/C][C]7471.91816304022[/C][C]6951.44016725951[/C][C]520.477995780714[/C][/ROW]
[ROW][C]11[/C][C]6765.42564521959[/C][C]7059.43128168865[/C][C]-294.005636469057[/C][/ROW]
[ROW][C]12[/C][C]7244.8084098405[/C][C]7167.42239611779[/C][C]77.3860137227122[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=301701&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=301701&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
15478.126046418915979.52013739726-501.394090978353
25677.097527694726087.5112518264-410.413724131678
36803.45180833126195.50236625554607.949442075662
46823.971476465396303.49348068468520.477995780714
56117.478958644766411.48459511381-294.005636469057
66596.861723265676519.4757095429577.3860137227123
76126.072732993746627.46682397209-501.394090978353
86325.044214269556735.45793840123-410.413724131678
97451.398494906036843.44905283037607.949442075662
107471.918163040226951.44016725951520.477995780714
116765.425645219597059.43128168865-294.005636469057
127244.80840984057167.4223961177977.3860137227122



Parameters (Session):
par1 = 1 ; par2 = 0 ; par3 = 1 ; par4 = 1 ;
Parameters (R input):
par1 = 6 ; 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')