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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 computationThu, 15 Dec 2016 22:40:04 +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/15/t1481838561k2yoj1o33q6uvec.htm/, Retrieved Fri, 03 May 2024 14:14:27 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=300027, Retrieved Fri, 03 May 2024 14:14:27 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact45
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Structural Time Series Models] [Structural time s...] [2016-12-15 21:40:04] [f07fac15bca656f595926f3a45d3c842] [Current]
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Dataseries X:
8450
7050
7700
7650
6900
6600
7400
7550
7450
8850
6100
5850
6800
7800
4950
7200
7450
6200
8450
7900
6600
7900
6200
8400
7600
5200
7450
9550
7800
7650
9750
8700
7150
10550
10150
12300
7850
8450
10000
11150
7750
11100
8650
9050
7200
8600
7500
8200
10050
9900
9500




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=300027&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=300027&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300027&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
184508450000
270508000.93075459537-57.4884125667486-111.303229783596-1.04382967439807
377007868.13484712917-65.2124878189003-42.8898026957556-0.16001300037568
476507771.58136344434-67.7759642101006-67.8977896111073-0.0679800599285245
569007459.23028220704-84.3967579560283-124.606004238456-0.545353953654684
666007144.16558250093-97.883273090026-120.986658878998-0.527116489822047
774007185.68316767584-90.6701295744643-47.95638654702130.324882644823104
875507271.72608081838-82.3934550274929-60.66853198850040.418122590861501
974507301.76314764383-77.5423880901787-70.57172977080530.269094342673834
1088507760.01675947901-55.956378060561635.6730745770221.2936033518592
1161007235.54430669042-73.7615337209154-205.799796776869-1.13873782498844
1258506765.87414841138-88.0633891337979-125.014750475838-0.967282526668112
1368006510.92393156942-69.5652546952943750.391582444648-0.614413392683704
1478006929.42080256833-50.182278480122468.65905885779611.03222738710565
1549506272.88433202708-74.620893557802-295.464956897767-1.32525432457482
1672006504.6982690333-63.9643622626706140.1427439830320.707441340284921
1774506787.38893149394-53.4728688339817.705362416381750.828011865494304
1862006615.58736071412-56.6671148393269-186.312057660055-0.288506484148021
1984507129.69550225209-42.6044107882609196.7578141059991.40961964662952
2079007364.6413053889-36.2439509784587-16.60920430368740.691171877566901
2166007151.93599076746-40.0613102662118-198.5841716846-0.441888351686008
2279007305.73794139483-36.0582807655674204.20417402710.487344453107846
2362006999.4482460992-41.4093285292148-253.765372775251-0.681276243217554
2484007389.7086504488-33.9748337526031132.1273156580541.09361285035811
2576007349.12286948629-33.7007643383534266.383348673197-0.0200017216891832
2652006611.34430971889-49.1194678620159-120.437093096137-1.65502677926657
2774506897.09265088465-40.3118325695298-51.61539129686590.78205325274031
2895507648.72434656299-21.6285150809642420.5013446482721.905531093281
2978007704.88770704271-20.0139891713131-54.27010224104480.191328264521913
3076507758.11958698366-18.6510754344187-251.1597210718360.182646289897362
3197508276.50579473555-9.48888614705677413.5423767809751.35081502337229
3287008409.46605047942-7.217370284408987.445499004148670.360315772520984
3371508109.55704988477-11.64581844195-375.222977391226-0.743111639153006
34105508704.96186704488-2.84483735980942629.2244006428711.54523577664701
35101509236.268321250274.49899960660865-159.2093213503971.36266766484066
361230010102.043249864413.3665240626851452.085847541072.21041603244426
3778509569.793203956224.9302527476589-518.75606235277-1.54458165598052
3884509300.7688013076420.8140119823553-290.571759280405-0.721439190024729
39100009558.5067170035625.42821986286272.283436676167540.570938723652845
40111509921.5987013567431.606646171675590.0254074222610.828106776309872
4177509349.5766754904421.7508802903423-436.12866719272-1.50442864967334
42111009927.749465837729.927071695451885.6483196158821.40181508997068
4386509495.862048261723.696865724402763.6157760602035-1.17152888031638
4490509333.5816472322921.348990334294884.6797839646685-0.473899045526353
4572008877.6876898262415.6269118928875-729.227004506995-1.21971183368679
4686008642.4532622516812.7538906741144457.430378129638-0.642500575306359
4775008411.3341895038310.1764296117581-423.910664881685-0.625934579504656
4882008171.471519321338.45821492172203533.010563922939-0.645918886421795
49100508744.674403845951.86837627362986105.3444674237381.54654256659439
5099009213.32810692446.47918261527131-218.4569007238051.1706318294154
5195009358.362992147088.59902605705564-119.381351553520.34034060501654

\begin{tabular}{lllllllll}
\hline
Structural Time Series Model -- Interpolation \tabularnewline
t & Observed & Level & Slope & Seasonal & Stand. Residuals \tabularnewline
1 & 8450 & 8450 & 0 & 0 & 0 \tabularnewline
2 & 7050 & 8000.93075459537 & -57.4884125667486 & -111.303229783596 & -1.04382967439807 \tabularnewline
3 & 7700 & 7868.13484712917 & -65.2124878189003 & -42.8898026957556 & -0.16001300037568 \tabularnewline
4 & 7650 & 7771.58136344434 & -67.7759642101006 & -67.8977896111073 & -0.0679800599285245 \tabularnewline
5 & 6900 & 7459.23028220704 & -84.3967579560283 & -124.606004238456 & -0.545353953654684 \tabularnewline
6 & 6600 & 7144.16558250093 & -97.883273090026 & -120.986658878998 & -0.527116489822047 \tabularnewline
7 & 7400 & 7185.68316767584 & -90.6701295744643 & -47.9563865470213 & 0.324882644823104 \tabularnewline
8 & 7550 & 7271.72608081838 & -82.3934550274929 & -60.6685319885004 & 0.418122590861501 \tabularnewline
9 & 7450 & 7301.76314764383 & -77.5423880901787 & -70.5717297708053 & 0.269094342673834 \tabularnewline
10 & 8850 & 7760.01675947901 & -55.9563780605616 & 35.673074577022 & 1.2936033518592 \tabularnewline
11 & 6100 & 7235.54430669042 & -73.7615337209154 & -205.799796776869 & -1.13873782498844 \tabularnewline
12 & 5850 & 6765.87414841138 & -88.0633891337979 & -125.014750475838 & -0.967282526668112 \tabularnewline
13 & 6800 & 6510.92393156942 & -69.5652546952943 & 750.391582444648 & -0.614413392683704 \tabularnewline
14 & 7800 & 6929.42080256833 & -50.1822784801224 & 68.6590588577961 & 1.03222738710565 \tabularnewline
15 & 4950 & 6272.88433202708 & -74.620893557802 & -295.464956897767 & -1.32525432457482 \tabularnewline
16 & 7200 & 6504.6982690333 & -63.9643622626706 & 140.142743983032 & 0.707441340284921 \tabularnewline
17 & 7450 & 6787.38893149394 & -53.472868833981 & 7.70536241638175 & 0.828011865494304 \tabularnewline
18 & 6200 & 6615.58736071412 & -56.6671148393269 & -186.312057660055 & -0.288506484148021 \tabularnewline
19 & 8450 & 7129.69550225209 & -42.6044107882609 & 196.757814105999 & 1.40961964662952 \tabularnewline
20 & 7900 & 7364.6413053889 & -36.2439509784587 & -16.6092043036874 & 0.691171877566901 \tabularnewline
21 & 6600 & 7151.93599076746 & -40.0613102662118 & -198.5841716846 & -0.441888351686008 \tabularnewline
22 & 7900 & 7305.73794139483 & -36.0582807655674 & 204.2041740271 & 0.487344453107846 \tabularnewline
23 & 6200 & 6999.4482460992 & -41.4093285292148 & -253.765372775251 & -0.681276243217554 \tabularnewline
24 & 8400 & 7389.7086504488 & -33.9748337526031 & 132.127315658054 & 1.09361285035811 \tabularnewline
25 & 7600 & 7349.12286948629 & -33.7007643383534 & 266.383348673197 & -0.0200017216891832 \tabularnewline
26 & 5200 & 6611.34430971889 & -49.1194678620159 & -120.437093096137 & -1.65502677926657 \tabularnewline
27 & 7450 & 6897.09265088465 & -40.3118325695298 & -51.6153912968659 & 0.78205325274031 \tabularnewline
28 & 9550 & 7648.72434656299 & -21.6285150809642 & 420.501344648272 & 1.905531093281 \tabularnewline
29 & 7800 & 7704.88770704271 & -20.0139891713131 & -54.2701022410448 & 0.191328264521913 \tabularnewline
30 & 7650 & 7758.11958698366 & -18.6510754344187 & -251.159721071836 & 0.182646289897362 \tabularnewline
31 & 9750 & 8276.50579473555 & -9.48888614705677 & 413.542376780975 & 1.35081502337229 \tabularnewline
32 & 8700 & 8409.46605047942 & -7.21737028440898 & 7.44549900414867 & 0.360315772520984 \tabularnewline
33 & 7150 & 8109.55704988477 & -11.64581844195 & -375.222977391226 & -0.743111639153006 \tabularnewline
34 & 10550 & 8704.96186704488 & -2.84483735980942 & 629.224400642871 & 1.54523577664701 \tabularnewline
35 & 10150 & 9236.26832125027 & 4.49899960660865 & -159.209321350397 & 1.36266766484066 \tabularnewline
36 & 12300 & 10102.0432498644 & 13.3665240626851 & 452.08584754107 & 2.21041603244426 \tabularnewline
37 & 7850 & 9569.7932039562 & 24.9302527476589 & -518.75606235277 & -1.54458165598052 \tabularnewline
38 & 8450 & 9300.76880130764 & 20.8140119823553 & -290.571759280405 & -0.721439190024729 \tabularnewline
39 & 10000 & 9558.50671700356 & 25.4282198628627 & 2.28343667616754 & 0.570938723652845 \tabularnewline
40 & 11150 & 9921.59870135674 & 31.606646171675 & 590.025407422261 & 0.828106776309872 \tabularnewline
41 & 7750 & 9349.57667549044 & 21.7508802903423 & -436.12866719272 & -1.50442864967334 \tabularnewline
42 & 11100 & 9927.7494658377 & 29.9270716954518 & 85.648319615882 & 1.40181508997068 \tabularnewline
43 & 8650 & 9495.8620482617 & 23.6968657244027 & 63.6157760602035 & -1.17152888031638 \tabularnewline
44 & 9050 & 9333.58164723229 & 21.3489903342948 & 84.6797839646685 & -0.473899045526353 \tabularnewline
45 & 7200 & 8877.68768982624 & 15.6269118928875 & -729.227004506995 & -1.21971183368679 \tabularnewline
46 & 8600 & 8642.45326225168 & 12.7538906741144 & 457.430378129638 & -0.642500575306359 \tabularnewline
47 & 7500 & 8411.33418950383 & 10.1764296117581 & -423.910664881685 & -0.625934579504656 \tabularnewline
48 & 8200 & 8171.47151932133 & 8.45821492172203 & 533.010563922939 & -0.645918886421795 \tabularnewline
49 & 10050 & 8744.67440384595 & 1.86837627362986 & 105.344467423738 & 1.54654256659439 \tabularnewline
50 & 9900 & 9213.3281069244 & 6.47918261527131 & -218.456900723805 & 1.1706318294154 \tabularnewline
51 & 9500 & 9358.36299214708 & 8.59902605705564 & -119.38135155352 & 0.34034060501654 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300027&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]8450[/C][C]8450[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]7050[/C][C]8000.93075459537[/C][C]-57.4884125667486[/C][C]-111.303229783596[/C][C]-1.04382967439807[/C][/ROW]
[ROW][C]3[/C][C]7700[/C][C]7868.13484712917[/C][C]-65.2124878189003[/C][C]-42.8898026957556[/C][C]-0.16001300037568[/C][/ROW]
[ROW][C]4[/C][C]7650[/C][C]7771.58136344434[/C][C]-67.7759642101006[/C][C]-67.8977896111073[/C][C]-0.0679800599285245[/C][/ROW]
[ROW][C]5[/C][C]6900[/C][C]7459.23028220704[/C][C]-84.3967579560283[/C][C]-124.606004238456[/C][C]-0.545353953654684[/C][/ROW]
[ROW][C]6[/C][C]6600[/C][C]7144.16558250093[/C][C]-97.883273090026[/C][C]-120.986658878998[/C][C]-0.527116489822047[/C][/ROW]
[ROW][C]7[/C][C]7400[/C][C]7185.68316767584[/C][C]-90.6701295744643[/C][C]-47.9563865470213[/C][C]0.324882644823104[/C][/ROW]
[ROW][C]8[/C][C]7550[/C][C]7271.72608081838[/C][C]-82.3934550274929[/C][C]-60.6685319885004[/C][C]0.418122590861501[/C][/ROW]
[ROW][C]9[/C][C]7450[/C][C]7301.76314764383[/C][C]-77.5423880901787[/C][C]-70.5717297708053[/C][C]0.269094342673834[/C][/ROW]
[ROW][C]10[/C][C]8850[/C][C]7760.01675947901[/C][C]-55.9563780605616[/C][C]35.673074577022[/C][C]1.2936033518592[/C][/ROW]
[ROW][C]11[/C][C]6100[/C][C]7235.54430669042[/C][C]-73.7615337209154[/C][C]-205.799796776869[/C][C]-1.13873782498844[/C][/ROW]
[ROW][C]12[/C][C]5850[/C][C]6765.87414841138[/C][C]-88.0633891337979[/C][C]-125.014750475838[/C][C]-0.967282526668112[/C][/ROW]
[ROW][C]13[/C][C]6800[/C][C]6510.92393156942[/C][C]-69.5652546952943[/C][C]750.391582444648[/C][C]-0.614413392683704[/C][/ROW]
[ROW][C]14[/C][C]7800[/C][C]6929.42080256833[/C][C]-50.1822784801224[/C][C]68.6590588577961[/C][C]1.03222738710565[/C][/ROW]
[ROW][C]15[/C][C]4950[/C][C]6272.88433202708[/C][C]-74.620893557802[/C][C]-295.464956897767[/C][C]-1.32525432457482[/C][/ROW]
[ROW][C]16[/C][C]7200[/C][C]6504.6982690333[/C][C]-63.9643622626706[/C][C]140.142743983032[/C][C]0.707441340284921[/C][/ROW]
[ROW][C]17[/C][C]7450[/C][C]6787.38893149394[/C][C]-53.472868833981[/C][C]7.70536241638175[/C][C]0.828011865494304[/C][/ROW]
[ROW][C]18[/C][C]6200[/C][C]6615.58736071412[/C][C]-56.6671148393269[/C][C]-186.312057660055[/C][C]-0.288506484148021[/C][/ROW]
[ROW][C]19[/C][C]8450[/C][C]7129.69550225209[/C][C]-42.6044107882609[/C][C]196.757814105999[/C][C]1.40961964662952[/C][/ROW]
[ROW][C]20[/C][C]7900[/C][C]7364.6413053889[/C][C]-36.2439509784587[/C][C]-16.6092043036874[/C][C]0.691171877566901[/C][/ROW]
[ROW][C]21[/C][C]6600[/C][C]7151.93599076746[/C][C]-40.0613102662118[/C][C]-198.5841716846[/C][C]-0.441888351686008[/C][/ROW]
[ROW][C]22[/C][C]7900[/C][C]7305.73794139483[/C][C]-36.0582807655674[/C][C]204.2041740271[/C][C]0.487344453107846[/C][/ROW]
[ROW][C]23[/C][C]6200[/C][C]6999.4482460992[/C][C]-41.4093285292148[/C][C]-253.765372775251[/C][C]-0.681276243217554[/C][/ROW]
[ROW][C]24[/C][C]8400[/C][C]7389.7086504488[/C][C]-33.9748337526031[/C][C]132.127315658054[/C][C]1.09361285035811[/C][/ROW]
[ROW][C]25[/C][C]7600[/C][C]7349.12286948629[/C][C]-33.7007643383534[/C][C]266.383348673197[/C][C]-0.0200017216891832[/C][/ROW]
[ROW][C]26[/C][C]5200[/C][C]6611.34430971889[/C][C]-49.1194678620159[/C][C]-120.437093096137[/C][C]-1.65502677926657[/C][/ROW]
[ROW][C]27[/C][C]7450[/C][C]6897.09265088465[/C][C]-40.3118325695298[/C][C]-51.6153912968659[/C][C]0.78205325274031[/C][/ROW]
[ROW][C]28[/C][C]9550[/C][C]7648.72434656299[/C][C]-21.6285150809642[/C][C]420.501344648272[/C][C]1.905531093281[/C][/ROW]
[ROW][C]29[/C][C]7800[/C][C]7704.88770704271[/C][C]-20.0139891713131[/C][C]-54.2701022410448[/C][C]0.191328264521913[/C][/ROW]
[ROW][C]30[/C][C]7650[/C][C]7758.11958698366[/C][C]-18.6510754344187[/C][C]-251.159721071836[/C][C]0.182646289897362[/C][/ROW]
[ROW][C]31[/C][C]9750[/C][C]8276.50579473555[/C][C]-9.48888614705677[/C][C]413.542376780975[/C][C]1.35081502337229[/C][/ROW]
[ROW][C]32[/C][C]8700[/C][C]8409.46605047942[/C][C]-7.21737028440898[/C][C]7.44549900414867[/C][C]0.360315772520984[/C][/ROW]
[ROW][C]33[/C][C]7150[/C][C]8109.55704988477[/C][C]-11.64581844195[/C][C]-375.222977391226[/C][C]-0.743111639153006[/C][/ROW]
[ROW][C]34[/C][C]10550[/C][C]8704.96186704488[/C][C]-2.84483735980942[/C][C]629.224400642871[/C][C]1.54523577664701[/C][/ROW]
[ROW][C]35[/C][C]10150[/C][C]9236.26832125027[/C][C]4.49899960660865[/C][C]-159.209321350397[/C][C]1.36266766484066[/C][/ROW]
[ROW][C]36[/C][C]12300[/C][C]10102.0432498644[/C][C]13.3665240626851[/C][C]452.08584754107[/C][C]2.21041603244426[/C][/ROW]
[ROW][C]37[/C][C]7850[/C][C]9569.7932039562[/C][C]24.9302527476589[/C][C]-518.75606235277[/C][C]-1.54458165598052[/C][/ROW]
[ROW][C]38[/C][C]8450[/C][C]9300.76880130764[/C][C]20.8140119823553[/C][C]-290.571759280405[/C][C]-0.721439190024729[/C][/ROW]
[ROW][C]39[/C][C]10000[/C][C]9558.50671700356[/C][C]25.4282198628627[/C][C]2.28343667616754[/C][C]0.570938723652845[/C][/ROW]
[ROW][C]40[/C][C]11150[/C][C]9921.59870135674[/C][C]31.606646171675[/C][C]590.025407422261[/C][C]0.828106776309872[/C][/ROW]
[ROW][C]41[/C][C]7750[/C][C]9349.57667549044[/C][C]21.7508802903423[/C][C]-436.12866719272[/C][C]-1.50442864967334[/C][/ROW]
[ROW][C]42[/C][C]11100[/C][C]9927.7494658377[/C][C]29.9270716954518[/C][C]85.648319615882[/C][C]1.40181508997068[/C][/ROW]
[ROW][C]43[/C][C]8650[/C][C]9495.8620482617[/C][C]23.6968657244027[/C][C]63.6157760602035[/C][C]-1.17152888031638[/C][/ROW]
[ROW][C]44[/C][C]9050[/C][C]9333.58164723229[/C][C]21.3489903342948[/C][C]84.6797839646685[/C][C]-0.473899045526353[/C][/ROW]
[ROW][C]45[/C][C]7200[/C][C]8877.68768982624[/C][C]15.6269118928875[/C][C]-729.227004506995[/C][C]-1.21971183368679[/C][/ROW]
[ROW][C]46[/C][C]8600[/C][C]8642.45326225168[/C][C]12.7538906741144[/C][C]457.430378129638[/C][C]-0.642500575306359[/C][/ROW]
[ROW][C]47[/C][C]7500[/C][C]8411.33418950383[/C][C]10.1764296117581[/C][C]-423.910664881685[/C][C]-0.625934579504656[/C][/ROW]
[ROW][C]48[/C][C]8200[/C][C]8171.47151932133[/C][C]8.45821492172203[/C][C]533.010563922939[/C][C]-0.645918886421795[/C][/ROW]
[ROW][C]49[/C][C]10050[/C][C]8744.67440384595[/C][C]1.86837627362986[/C][C]105.344467423738[/C][C]1.54654256659439[/C][/ROW]
[ROW][C]50[/C][C]9900[/C][C]9213.3281069244[/C][C]6.47918261527131[/C][C]-218.456900723805[/C][C]1.1706318294154[/C][/ROW]
[ROW][C]51[/C][C]9500[/C][C]9358.36299214708[/C][C]8.59902605705564[/C][C]-119.38135155352[/C][C]0.34034060501654[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=300027&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300027&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
184508450000
270508000.93075459537-57.4884125667486-111.303229783596-1.04382967439807
377007868.13484712917-65.2124878189003-42.8898026957556-0.16001300037568
476507771.58136344434-67.7759642101006-67.8977896111073-0.0679800599285245
569007459.23028220704-84.3967579560283-124.606004238456-0.545353953654684
666007144.16558250093-97.883273090026-120.986658878998-0.527116489822047
774007185.68316767584-90.6701295744643-47.95638654702130.324882644823104
875507271.72608081838-82.3934550274929-60.66853198850040.418122590861501
974507301.76314764383-77.5423880901787-70.57172977080530.269094342673834
1088507760.01675947901-55.956378060561635.6730745770221.2936033518592
1161007235.54430669042-73.7615337209154-205.799796776869-1.13873782498844
1258506765.87414841138-88.0633891337979-125.014750475838-0.967282526668112
1368006510.92393156942-69.5652546952943750.391582444648-0.614413392683704
1478006929.42080256833-50.182278480122468.65905885779611.03222738710565
1549506272.88433202708-74.620893557802-295.464956897767-1.32525432457482
1672006504.6982690333-63.9643622626706140.1427439830320.707441340284921
1774506787.38893149394-53.4728688339817.705362416381750.828011865494304
1862006615.58736071412-56.6671148393269-186.312057660055-0.288506484148021
1984507129.69550225209-42.6044107882609196.7578141059991.40961964662952
2079007364.6413053889-36.2439509784587-16.60920430368740.691171877566901
2166007151.93599076746-40.0613102662118-198.5841716846-0.441888351686008
2279007305.73794139483-36.0582807655674204.20417402710.487344453107846
2362006999.4482460992-41.4093285292148-253.765372775251-0.681276243217554
2484007389.7086504488-33.9748337526031132.1273156580541.09361285035811
2576007349.12286948629-33.7007643383534266.383348673197-0.0200017216891832
2652006611.34430971889-49.1194678620159-120.437093096137-1.65502677926657
2774506897.09265088465-40.3118325695298-51.61539129686590.78205325274031
2895507648.72434656299-21.6285150809642420.5013446482721.905531093281
2978007704.88770704271-20.0139891713131-54.27010224104480.191328264521913
3076507758.11958698366-18.6510754344187-251.1597210718360.182646289897362
3197508276.50579473555-9.48888614705677413.5423767809751.35081502337229
3287008409.46605047942-7.217370284408987.445499004148670.360315772520984
3371508109.55704988477-11.64581844195-375.222977391226-0.743111639153006
34105508704.96186704488-2.84483735980942629.2244006428711.54523577664701
35101509236.268321250274.49899960660865-159.2093213503971.36266766484066
361230010102.043249864413.3665240626851452.085847541072.21041603244426
3778509569.793203956224.9302527476589-518.75606235277-1.54458165598052
3884509300.7688013076420.8140119823553-290.571759280405-0.721439190024729
39100009558.5067170035625.42821986286272.283436676167540.570938723652845
40111509921.5987013567431.606646171675590.0254074222610.828106776309872
4177509349.5766754904421.7508802903423-436.12866719272-1.50442864967334
42111009927.749465837729.927071695451885.6483196158821.40181508997068
4386509495.862048261723.696865724402763.6157760602035-1.17152888031638
4490509333.5816472322921.348990334294884.6797839646685-0.473899045526353
4572008877.6876898262415.6269118928875-729.227004506995-1.21971183368679
4686008642.4532622516812.7538906741144457.430378129638-0.642500575306359
4775008411.3341895038310.1764296117581-423.910664881685-0.625934579504656
4882008171.471519321338.45821492172203533.010563922939-0.645918886421795
49100508744.674403845951.86837627362986105.3444674237381.54654256659439
5099009213.32810692446.47918261527131-218.4569007238051.1706318294154
5195009358.362992147088.59902605705564-119.381351553520.34034060501654







Structural Time Series Model -- Extrapolation
tObservedLevelSeasonal
112044.731153251810505.35853534811539.37261790369
29328.190989586710819.4435565687-1491.252566982
312466.121519095811133.52857778931332.5929413065
411437.052286147511447.6135990099-10.5613128624391
512234.627868089911761.6986202306472.929247859304
610923.467022964612075.7836414512-1152.31661848655
713028.689653284212389.8686626718638.820990612352
812257.268269221912703.9536838924-446.685414670544
913052.078555705713018.038705113134.0398505925847
1013483.22784582213332.1237263337151.10411948832
1113209.773232671613646.2087475543-436.435514882726
1213328.685428896513960.2937687749-631.608339878488
1315813.751407899314274.37878999561539.37261790369
1413097.211244234214588.4638112162-1491.252566982
1516235.141773743314902.54883243681332.5929413065
1615206.07254079515216.6338536574-10.561312862439
1716003.648122737415530.7188748781472.929247859304
1814692.487277612115844.8038960987-1152.31661848655

\begin{tabular}{lllllllll}
\hline
Structural Time Series Model -- Extrapolation \tabularnewline
t & Observed & Level & Seasonal \tabularnewline
1 & 12044.7311532518 & 10505.3585353481 & 1539.37261790369 \tabularnewline
2 & 9328.1909895867 & 10819.4435565687 & -1491.252566982 \tabularnewline
3 & 12466.1215190958 & 11133.5285777893 & 1332.5929413065 \tabularnewline
4 & 11437.0522861475 & 11447.6135990099 & -10.5613128624391 \tabularnewline
5 & 12234.6278680899 & 11761.6986202306 & 472.929247859304 \tabularnewline
6 & 10923.4670229646 & 12075.7836414512 & -1152.31661848655 \tabularnewline
7 & 13028.6896532842 & 12389.8686626718 & 638.820990612352 \tabularnewline
8 & 12257.2682692219 & 12703.9536838924 & -446.685414670544 \tabularnewline
9 & 13052.0785557057 & 13018.0387051131 & 34.0398505925847 \tabularnewline
10 & 13483.227845822 & 13332.1237263337 & 151.10411948832 \tabularnewline
11 & 13209.7732326716 & 13646.2087475543 & -436.435514882726 \tabularnewline
12 & 13328.6854288965 & 13960.2937687749 & -631.608339878488 \tabularnewline
13 & 15813.7514078993 & 14274.3787899956 & 1539.37261790369 \tabularnewline
14 & 13097.2112442342 & 14588.4638112162 & -1491.252566982 \tabularnewline
15 & 16235.1417737433 & 14902.5488324368 & 1332.5929413065 \tabularnewline
16 & 15206.072540795 & 15216.6338536574 & -10.561312862439 \tabularnewline
17 & 16003.6481227374 & 15530.7188748781 & 472.929247859304 \tabularnewline
18 & 14692.4872776121 & 15844.8038960987 & -1152.31661848655 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300027&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]12044.7311532518[/C][C]10505.3585353481[/C][C]1539.37261790369[/C][/ROW]
[ROW][C]2[/C][C]9328.1909895867[/C][C]10819.4435565687[/C][C]-1491.252566982[/C][/ROW]
[ROW][C]3[/C][C]12466.1215190958[/C][C]11133.5285777893[/C][C]1332.5929413065[/C][/ROW]
[ROW][C]4[/C][C]11437.0522861475[/C][C]11447.6135990099[/C][C]-10.5613128624391[/C][/ROW]
[ROW][C]5[/C][C]12234.6278680899[/C][C]11761.6986202306[/C][C]472.929247859304[/C][/ROW]
[ROW][C]6[/C][C]10923.4670229646[/C][C]12075.7836414512[/C][C]-1152.31661848655[/C][/ROW]
[ROW][C]7[/C][C]13028.6896532842[/C][C]12389.8686626718[/C][C]638.820990612352[/C][/ROW]
[ROW][C]8[/C][C]12257.2682692219[/C][C]12703.9536838924[/C][C]-446.685414670544[/C][/ROW]
[ROW][C]9[/C][C]13052.0785557057[/C][C]13018.0387051131[/C][C]34.0398505925847[/C][/ROW]
[ROW][C]10[/C][C]13483.227845822[/C][C]13332.1237263337[/C][C]151.10411948832[/C][/ROW]
[ROW][C]11[/C][C]13209.7732326716[/C][C]13646.2087475543[/C][C]-436.435514882726[/C][/ROW]
[ROW][C]12[/C][C]13328.6854288965[/C][C]13960.2937687749[/C][C]-631.608339878488[/C][/ROW]
[ROW][C]13[/C][C]15813.7514078993[/C][C]14274.3787899956[/C][C]1539.37261790369[/C][/ROW]
[ROW][C]14[/C][C]13097.2112442342[/C][C]14588.4638112162[/C][C]-1491.252566982[/C][/ROW]
[ROW][C]15[/C][C]16235.1417737433[/C][C]14902.5488324368[/C][C]1332.5929413065[/C][/ROW]
[ROW][C]16[/C][C]15206.072540795[/C][C]15216.6338536574[/C][C]-10.561312862439[/C][/ROW]
[ROW][C]17[/C][C]16003.6481227374[/C][C]15530.7188748781[/C][C]472.929247859304[/C][/ROW]
[ROW][C]18[/C][C]14692.4872776121[/C][C]15844.8038960987[/C][C]-1152.31661848655[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=300027&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300027&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
112044.731153251810505.35853534811539.37261790369
29328.190989586710819.4435565687-1491.252566982
312466.121519095811133.52857778931332.5929413065
411437.052286147511447.6135990099-10.5613128624391
512234.627868089911761.6986202306472.929247859304
610923.467022964612075.7836414512-1152.31661848655
713028.689653284212389.8686626718638.820990612352
812257.268269221912703.9536838924-446.685414670544
913052.078555705713018.038705113134.0398505925847
1013483.22784582213332.1237263337151.10411948832
1113209.773232671613646.2087475543-436.435514882726
1213328.685428896513960.2937687749-631.608339878488
1315813.751407899314274.37878999561539.37261790369
1413097.211244234214588.4638112162-1491.252566982
1516235.141773743314902.54883243681332.5929413065
1615206.07254079515216.6338536574-10.561312862439
1716003.648122737415530.7188748781472.929247859304
1814692.487277612115844.8038960987-1152.31661848655



Parameters (Session):
par1 = 12 ;
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')