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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, 17 Dec 2014 11:19:34 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2014/Dec/17/t1418815187phk54q5e1anjcg4.htm/, Retrieved Thu, 16 May 2024 21:59:32 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=270039, Retrieved Thu, 16 May 2024 21:59:32 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact70
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Structural Time Series Models] [DL] [2014-12-17 11:19:34] [eeaae55b7499419163eef5a1870a44a7] [Current]
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Dataseries X:
4.3
4.9
5.6
5.7
5.9
6.3
6.4
6.4
6.4
6.7
6.7
7.3
7.4
7.6
7.7
7.7
7.9
7.9
8
8.2
8.3
8.3
8.5
8.6
8.8
8.8
9
9
9.1
9.2
9.3
9.3
9.3
9.6
9.6
9.6
9.7
9.9
9.9
9.9
10
10.1
10.3
10.3
10.3
10.4
10.5
10.6
10.7
10.8
10.8
10.8
10.9
10.9
10.9
11.1
11.1
11.1
11.2
11.3
11.3
11.4
11.4
11.4
11.4
11.4
11.5
11.6
11.6
11.7
11.7
11.8
11.8
11.8
11.9
12
12.1
12.2
12.2
12.3
12.3
12.3
12.5
12.6
12.6
12.6
12.6
12.7
12.7
12.8
12.9
13
13
13
13.2
13.2
13.3
13.3
13.3
13.4
13.4
13.5
13.6
13.8
13.8
14.2
14.3
14.5
14.6
14.8
15.9
16.1




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 3 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270039&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=270039&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270039&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 Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net







Structural Time Series Model
tObservedLevelSlopeSeasonalStand. Residuals
14.34.3000
24.94.868907664245470.03907409885363530.03109233575452762.34013790827059
35.65.565949997126390.09134428625634610.03405000287361264.3652493775383
45.75.668599134380370.09258104830104260.03140086561962860.07373110933403
55.95.8674426765520.1066804648465520.03255732344800510.683787434870485
66.36.266619580656380.1505032855125020.03338041934362041.86302607241063
76.46.367932695882770.1425332732614390.0320673041172282-0.310984439855914
86.46.367991038612110.1182415610345990.032008961387889-0.895994580900008
96.46.367900457944330.09738174012482130.0320995420556736-0.741441543767285
106.76.666826653124370.1336965885055190.03317334687563171.25965934215663
116.76.66822826708370.1095140897082150.0317717329162965-0.825435105304071
127.37.265816650843850.199577476663160.03418334915614893.04174343127483
137.47.670687766932750.235661086746416-0.2706877669327521.49610542982601
147.67.585311403844220.1771253312122370.0146885961557746-1.69091004935866
157.77.680739365351150.1618612725429710.0192606346488452-0.507873384812228
167.77.683958763409410.1321661622357690.0160412365905894-0.985581230795684
177.97.882477044341010.1445992799345530.017522955658990.412249768778954
187.97.882624550719090.1175121813902880.0173754492809127-0.897486443821531
1987.982380356618450.1141809408985090.0176196433815554-0.110322166676577
208.28.181667385330940.1301528194289290.01833261466906160.528780332395516
218.38.283812864200940.124895490618690.016187135799064-0.174017836656955
228.38.281400052813120.1009944301615780.0185999471868859-0.79101743265688
238.58.48365382922110.1200073258173110.01634617077890440.629188139311702
248.68.581756879449520.1158945877802010.0182431205504827-0.136089044928085
258.88.942386312961170.161194702778031-0.1423863129611721.64826850012436
268.88.795224252702840.1044433067193640.0047757472971647-1.73870486004999
2798.987186152365480.1208729116507690.01281384763452470.543631670534647
2898.994732118391860.0995919084753110.00526788160814355-0.703521542437381
299.19.090052381192570.09878990746689420.00994761880743327-0.0265237781697375
309.29.191068137703490.09920777883096690.008931862296511560.0138220101744762
319.39.291783625787080.09949081844039870.008216374212915750.00936306587629059
329.39.291422019119410.08074605403025840.00857798088059113-0.620124442185984
339.39.291955039290550.06568818807981050.00804496070945021-0.498173637220605
349.69.588606317930390.109045420725280.01139368206961131.4344694791801
359.69.593553119611840.0895030998744610.00644688038815604-0.646577066524427
369.69.592347190783290.07247727400478160.00765280921671135-0.563284592777245
379.79.777971053591550.0935365061731631-0.07797105359155490.741516724041245
389.99.897233351738110.09829487141377960.002766648261890750.149283164088772
399.99.888522813636640.0782182920303190.0114771863633633-0.664555059334588
409.99.896148192482430.06496727830602140.00385180751757181-0.438101268514507
41109.990510656208330.07048411990572440.009489343791671880.182466266591279
4210.110.09219078376150.07633855079489740.007809216238531750.193658398162414
4310.310.29082517793120.09928853379021560.009174822068792030.759221294144416
4410.310.29254060619630.0809783236620250.00745939380374993-0.605762175099518
4510.310.29611479542940.06645304806794410.00388520457056871-0.480560680245952
4610.410.38836264685960.07129357768863340.01163735314037740.160150159178228
4710.510.49309603226710.07756894440045170.006903967732876580.207629451644757
4810.610.59413257492770.08197182705315050.005867425072272750.145665239960388
4910.710.77169954502580.0998027634470836-0.0716995450258030.617567853168328
5010.810.79822321790970.08620668509996920.001776782090288-0.432103009683575
5110.810.79020609774440.06853733460966010.00979390225562355-0.585035350829043
5210.810.79826027083820.05718833423314930.0017397291618165-0.375247499867475
5310.910.89110693522490.06387820759583750.008893064775116990.221275434915583
5410.910.89649915209160.05290625021690650.0035008479083985-0.362955913037601
5510.910.89192747064140.04212371085842780.00807252935863071-0.356713083231722
5611.111.09049586196790.07147144253396480.009504138032099610.97093734213543
5711.111.09924527021370.05970537379503570.000754729786294819-0.389278467667445
5811.111.09082615719830.04692581966584760.00917384280168964-0.422818756528389
5911.211.19349742590170.05738356687595180.006502574098311060.346012956915135
6011.311.29609517485080.06586299354175250.003904825149162990.280538458354182
6111.311.36478189884740.0663903083707179-0.06478189884743630.0180786972847044
6211.411.39769340470380.06016630434958250.00230659529619448-0.199456980784263
6311.411.39041969200190.04752528971859090.0095803079981348-0.418620874657265
6411.411.39967296559230.04034640370463370.000327034407671541-0.237379228536867
6511.411.39130338122860.03120974690593610.00869661877139597-0.302214537718639
6611.411.39539790018960.02612456361072320.00460209981044307-0.168224000377235
6711.511.49355036944140.03963232971531460.006449630558636560.446878360983382
6811.611.5895651112560.05020588528730950.01043488874403140.349818508801931
6911.611.59916706192490.04259135062159170.000832938075074312-0.251927584319533
7011.711.69075850794910.05178048013773390.009241492050882810.304029682524296
7111.711.69544926079740.0429492744913080.0045507392026356-0.292197805581394
7211.811.7953031250480.05361715149820040.004696874952030840.352954433193016
7311.811.86133709745020.0559375659974651-0.06133709745020130.0790038792990673
7411.811.7988781985980.03389650793914010.00112180140203758-0.710457009256362
7511.911.88932155921290.04449152360058690.01067844078714080.350902382002635
761211.99877448331040.05667298653956970.001225516689636460.40281657199229
7712.112.09089880106410.06331994357561210.009101198935863540.219865688491433
7812.212.19656010091770.07125835787217280.003439899082256720.262616948352499
7912.212.1969397560450.0579698772032030.00306024395497805-0.439629188998986
8012.312.28846153057130.06426018464820650.01153846942866960.20811197280659
8112.312.30200254213360.0547513984869396-0.00200254213356444-0.314600776888568
8212.312.29135225099310.0424898535010820.0086477490068785-0.405685387497965
8312.512.49406541082920.07252964772259990.005934589170776770.993928546853989
8412.612.59640370363180.07811600003750340.003596296368181860.184837787222356
8512.612.65408633282190.0742957382149025-0.0540863328219158-0.129413370208361
8612.612.60169894147120.0506888430350294-0.00169894147120233-0.764217625711748
8712.612.59156537241410.03929663699931970.00843462758587766-0.377323570263286
8812.712.69816689686770.05191413489093810.001833103132254760.417256459959377
8912.712.6940456529250.04141044947088890.00595434707504116-0.347439442807325
9012.812.79424464342220.05242967914521320.005755356577751260.364540095664306
9112.912.8977705184640.06200687844709250.00222948153604820.316849936409903
921312.98807050096380.06730993397127370.01192949903621010.175450194108372
931313.001633303970.0572359960920624-0.00163330397000734-0.33330035162681
941312.99580857990160.04541627141653430.00419142009839886-0.391069351251909
9513.213.192229574720.0737205025339120.007770425279979940.936503623017112
9613.213.19874271777790.06112908254588430.00125728222205864-0.416643701842618
9713.313.34159426034430.0764126846874335-0.04159426034429560.515749384630269
9813.313.30248848452470.0548705741442968-0.0024884845246652-0.699698081684032
9913.313.29498990908690.04319212758170870.00501009091307795-0.38680646674854
10013.413.39583905879310.05399835717844090.004160941206857330.357377261930493
10113.413.39708598756160.04411246364499760.00291401243837543-0.327004659479973
10213.513.49464742722940.05412860358201510.005352572770573820.331358199093082
10313.613.59873838150170.06349119031308640.001261618498288140.309751820653879
10413.813.78570937383970.08663020376284820.01429062616030590.765551445596437
10513.813.80246878749610.0735370798932076-0.00246878749613083-0.433192825426888
10614.214.19319756376280.1329765537788670.006802436237196821.96663337090127
10714.314.29374589658170.1268996139341930.00625410341831317-0.201067411138227
10814.514.49938281275270.1416473675961610.0006171872473427340.488031642279672
10914.614.63493056851490.140506396033442-0.0349305685149182-0.0383860473596484
11014.814.80032612851160.145150356567587-0.0003261285116321280.151236579681788
11115.915.87516242231670.3191869645345180.02483757768328965.76417960904757
11216.116.10044265321350.301590499302732-0.000442653213464541-0.58197231377896

\begin{tabular}{lllllllll}
\hline
Structural Time Series Model \tabularnewline
t & Observed & Level & Slope & Seasonal & Stand. Residuals \tabularnewline
1 & 4.3 & 4.3 & 0 & 0 & 0 \tabularnewline
2 & 4.9 & 4.86890766424547 & 0.0390740988536353 & 0.0310923357545276 & 2.34013790827059 \tabularnewline
3 & 5.6 & 5.56594999712639 & 0.0913442862563461 & 0.0340500028736126 & 4.3652493775383 \tabularnewline
4 & 5.7 & 5.66859913438037 & 0.0925810483010426 & 0.0314008656196286 & 0.07373110933403 \tabularnewline
5 & 5.9 & 5.867442676552 & 0.106680464846552 & 0.0325573234480051 & 0.683787434870485 \tabularnewline
6 & 6.3 & 6.26661958065638 & 0.150503285512502 & 0.0333804193436204 & 1.86302607241063 \tabularnewline
7 & 6.4 & 6.36793269588277 & 0.142533273261439 & 0.0320673041172282 & -0.310984439855914 \tabularnewline
8 & 6.4 & 6.36799103861211 & 0.118241561034599 & 0.032008961387889 & -0.895994580900008 \tabularnewline
9 & 6.4 & 6.36790045794433 & 0.0973817401248213 & 0.0320995420556736 & -0.741441543767285 \tabularnewline
10 & 6.7 & 6.66682665312437 & 0.133696588505519 & 0.0331733468756317 & 1.25965934215663 \tabularnewline
11 & 6.7 & 6.6682282670837 & 0.109514089708215 & 0.0317717329162965 & -0.825435105304071 \tabularnewline
12 & 7.3 & 7.26581665084385 & 0.19957747666316 & 0.0341833491561489 & 3.04174343127483 \tabularnewline
13 & 7.4 & 7.67068776693275 & 0.235661086746416 & -0.270687766932752 & 1.49610542982601 \tabularnewline
14 & 7.6 & 7.58531140384422 & 0.177125331212237 & 0.0146885961557746 & -1.69091004935866 \tabularnewline
15 & 7.7 & 7.68073936535115 & 0.161861272542971 & 0.0192606346488452 & -0.507873384812228 \tabularnewline
16 & 7.7 & 7.68395876340941 & 0.132166162235769 & 0.0160412365905894 & -0.985581230795684 \tabularnewline
17 & 7.9 & 7.88247704434101 & 0.144599279934553 & 0.01752295565899 & 0.412249768778954 \tabularnewline
18 & 7.9 & 7.88262455071909 & 0.117512181390288 & 0.0173754492809127 & -0.897486443821531 \tabularnewline
19 & 8 & 7.98238035661845 & 0.114180940898509 & 0.0176196433815554 & -0.110322166676577 \tabularnewline
20 & 8.2 & 8.18166738533094 & 0.130152819428929 & 0.0183326146690616 & 0.528780332395516 \tabularnewline
21 & 8.3 & 8.28381286420094 & 0.12489549061869 & 0.016187135799064 & -0.174017836656955 \tabularnewline
22 & 8.3 & 8.28140005281312 & 0.100994430161578 & 0.0185999471868859 & -0.79101743265688 \tabularnewline
23 & 8.5 & 8.4836538292211 & 0.120007325817311 & 0.0163461707789044 & 0.629188139311702 \tabularnewline
24 & 8.6 & 8.58175687944952 & 0.115894587780201 & 0.0182431205504827 & -0.136089044928085 \tabularnewline
25 & 8.8 & 8.94238631296117 & 0.161194702778031 & -0.142386312961172 & 1.64826850012436 \tabularnewline
26 & 8.8 & 8.79522425270284 & 0.104443306719364 & 0.0047757472971647 & -1.73870486004999 \tabularnewline
27 & 9 & 8.98718615236548 & 0.120872911650769 & 0.0128138476345247 & 0.543631670534647 \tabularnewline
28 & 9 & 8.99473211839186 & 0.099591908475311 & 0.00526788160814355 & -0.703521542437381 \tabularnewline
29 & 9.1 & 9.09005238119257 & 0.0987899074668942 & 0.00994761880743327 & -0.0265237781697375 \tabularnewline
30 & 9.2 & 9.19106813770349 & 0.0992077788309669 & 0.00893186229651156 & 0.0138220101744762 \tabularnewline
31 & 9.3 & 9.29178362578708 & 0.0994908184403987 & 0.00821637421291575 & 0.00936306587629059 \tabularnewline
32 & 9.3 & 9.29142201911941 & 0.0807460540302584 & 0.00857798088059113 & -0.620124442185984 \tabularnewline
33 & 9.3 & 9.29195503929055 & 0.0656881880798105 & 0.00804496070945021 & -0.498173637220605 \tabularnewline
34 & 9.6 & 9.58860631793039 & 0.10904542072528 & 0.0113936820696113 & 1.4344694791801 \tabularnewline
35 & 9.6 & 9.59355311961184 & 0.089503099874461 & 0.00644688038815604 & -0.646577066524427 \tabularnewline
36 & 9.6 & 9.59234719078329 & 0.0724772740047816 & 0.00765280921671135 & -0.563284592777245 \tabularnewline
37 & 9.7 & 9.77797105359155 & 0.0935365061731631 & -0.0779710535915549 & 0.741516724041245 \tabularnewline
38 & 9.9 & 9.89723335173811 & 0.0982948714137796 & 0.00276664826189075 & 0.149283164088772 \tabularnewline
39 & 9.9 & 9.88852281363664 & 0.078218292030319 & 0.0114771863633633 & -0.664555059334588 \tabularnewline
40 & 9.9 & 9.89614819248243 & 0.0649672783060214 & 0.00385180751757181 & -0.438101268514507 \tabularnewline
41 & 10 & 9.99051065620833 & 0.0704841199057244 & 0.00948934379167188 & 0.182466266591279 \tabularnewline
42 & 10.1 & 10.0921907837615 & 0.0763385507948974 & 0.00780921623853175 & 0.193658398162414 \tabularnewline
43 & 10.3 & 10.2908251779312 & 0.0992885337902156 & 0.00917482206879203 & 0.759221294144416 \tabularnewline
44 & 10.3 & 10.2925406061963 & 0.080978323662025 & 0.00745939380374993 & -0.605762175099518 \tabularnewline
45 & 10.3 & 10.2961147954294 & 0.0664530480679441 & 0.00388520457056871 & -0.480560680245952 \tabularnewline
46 & 10.4 & 10.3883626468596 & 0.0712935776886334 & 0.0116373531403774 & 0.160150159178228 \tabularnewline
47 & 10.5 & 10.4930960322671 & 0.0775689444004517 & 0.00690396773287658 & 0.207629451644757 \tabularnewline
48 & 10.6 & 10.5941325749277 & 0.0819718270531505 & 0.00586742507227275 & 0.145665239960388 \tabularnewline
49 & 10.7 & 10.7716995450258 & 0.0998027634470836 & -0.071699545025803 & 0.617567853168328 \tabularnewline
50 & 10.8 & 10.7982232179097 & 0.0862066850999692 & 0.001776782090288 & -0.432103009683575 \tabularnewline
51 & 10.8 & 10.7902060977444 & 0.0685373346096601 & 0.00979390225562355 & -0.585035350829043 \tabularnewline
52 & 10.8 & 10.7982602708382 & 0.0571883342331493 & 0.0017397291618165 & -0.375247499867475 \tabularnewline
53 & 10.9 & 10.8911069352249 & 0.0638782075958375 & 0.00889306477511699 & 0.221275434915583 \tabularnewline
54 & 10.9 & 10.8964991520916 & 0.0529062502169065 & 0.0035008479083985 & -0.362955913037601 \tabularnewline
55 & 10.9 & 10.8919274706414 & 0.0421237108584278 & 0.00807252935863071 & -0.356713083231722 \tabularnewline
56 & 11.1 & 11.0904958619679 & 0.0714714425339648 & 0.00950413803209961 & 0.97093734213543 \tabularnewline
57 & 11.1 & 11.0992452702137 & 0.0597053737950357 & 0.000754729786294819 & -0.389278467667445 \tabularnewline
58 & 11.1 & 11.0908261571983 & 0.0469258196658476 & 0.00917384280168964 & -0.422818756528389 \tabularnewline
59 & 11.2 & 11.1934974259017 & 0.0573835668759518 & 0.00650257409831106 & 0.346012956915135 \tabularnewline
60 & 11.3 & 11.2960951748508 & 0.0658629935417525 & 0.00390482514916299 & 0.280538458354182 \tabularnewline
61 & 11.3 & 11.3647818988474 & 0.0663903083707179 & -0.0647818988474363 & 0.0180786972847044 \tabularnewline
62 & 11.4 & 11.3976934047038 & 0.0601663043495825 & 0.00230659529619448 & -0.199456980784263 \tabularnewline
63 & 11.4 & 11.3904196920019 & 0.0475252897185909 & 0.0095803079981348 & -0.418620874657265 \tabularnewline
64 & 11.4 & 11.3996729655923 & 0.0403464037046337 & 0.000327034407671541 & -0.237379228536867 \tabularnewline
65 & 11.4 & 11.3913033812286 & 0.0312097469059361 & 0.00869661877139597 & -0.302214537718639 \tabularnewline
66 & 11.4 & 11.3953979001896 & 0.0261245636107232 & 0.00460209981044307 & -0.168224000377235 \tabularnewline
67 & 11.5 & 11.4935503694414 & 0.0396323297153146 & 0.00644963055863656 & 0.446878360983382 \tabularnewline
68 & 11.6 & 11.589565111256 & 0.0502058852873095 & 0.0104348887440314 & 0.349818508801931 \tabularnewline
69 & 11.6 & 11.5991670619249 & 0.0425913506215917 & 0.000832938075074312 & -0.251927584319533 \tabularnewline
70 & 11.7 & 11.6907585079491 & 0.0517804801377339 & 0.00924149205088281 & 0.304029682524296 \tabularnewline
71 & 11.7 & 11.6954492607974 & 0.042949274491308 & 0.0045507392026356 & -0.292197805581394 \tabularnewline
72 & 11.8 & 11.795303125048 & 0.0536171514982004 & 0.00469687495203084 & 0.352954433193016 \tabularnewline
73 & 11.8 & 11.8613370974502 & 0.0559375659974651 & -0.0613370974502013 & 0.0790038792990673 \tabularnewline
74 & 11.8 & 11.798878198598 & 0.0338965079391401 & 0.00112180140203758 & -0.710457009256362 \tabularnewline
75 & 11.9 & 11.8893215592129 & 0.0444915236005869 & 0.0106784407871408 & 0.350902382002635 \tabularnewline
76 & 12 & 11.9987744833104 & 0.0566729865395697 & 0.00122551668963646 & 0.40281657199229 \tabularnewline
77 & 12.1 & 12.0908988010641 & 0.0633199435756121 & 0.00910119893586354 & 0.219865688491433 \tabularnewline
78 & 12.2 & 12.1965601009177 & 0.0712583578721728 & 0.00343989908225672 & 0.262616948352499 \tabularnewline
79 & 12.2 & 12.196939756045 & 0.057969877203203 & 0.00306024395497805 & -0.439629188998986 \tabularnewline
80 & 12.3 & 12.2884615305713 & 0.0642601846482065 & 0.0115384694286696 & 0.20811197280659 \tabularnewline
81 & 12.3 & 12.3020025421336 & 0.0547513984869396 & -0.00200254213356444 & -0.314600776888568 \tabularnewline
82 & 12.3 & 12.2913522509931 & 0.042489853501082 & 0.0086477490068785 & -0.405685387497965 \tabularnewline
83 & 12.5 & 12.4940654108292 & 0.0725296477225999 & 0.00593458917077677 & 0.993928546853989 \tabularnewline
84 & 12.6 & 12.5964037036318 & 0.0781160000375034 & 0.00359629636818186 & 0.184837787222356 \tabularnewline
85 & 12.6 & 12.6540863328219 & 0.0742957382149025 & -0.0540863328219158 & -0.129413370208361 \tabularnewline
86 & 12.6 & 12.6016989414712 & 0.0506888430350294 & -0.00169894147120233 & -0.764217625711748 \tabularnewline
87 & 12.6 & 12.5915653724141 & 0.0392966369993197 & 0.00843462758587766 & -0.377323570263286 \tabularnewline
88 & 12.7 & 12.6981668968677 & 0.0519141348909381 & 0.00183310313225476 & 0.417256459959377 \tabularnewline
89 & 12.7 & 12.694045652925 & 0.0414104494708889 & 0.00595434707504116 & -0.347439442807325 \tabularnewline
90 & 12.8 & 12.7942446434222 & 0.0524296791452132 & 0.00575535657775126 & 0.364540095664306 \tabularnewline
91 & 12.9 & 12.897770518464 & 0.0620068784470925 & 0.0022294815360482 & 0.316849936409903 \tabularnewline
92 & 13 & 12.9880705009638 & 0.0673099339712737 & 0.0119294990362101 & 0.175450194108372 \tabularnewline
93 & 13 & 13.00163330397 & 0.0572359960920624 & -0.00163330397000734 & -0.33330035162681 \tabularnewline
94 & 13 & 12.9958085799016 & 0.0454162714165343 & 0.00419142009839886 & -0.391069351251909 \tabularnewline
95 & 13.2 & 13.19222957472 & 0.073720502533912 & 0.00777042527997994 & 0.936503623017112 \tabularnewline
96 & 13.2 & 13.1987427177779 & 0.0611290825458843 & 0.00125728222205864 & -0.416643701842618 \tabularnewline
97 & 13.3 & 13.3415942603443 & 0.0764126846874335 & -0.0415942603442956 & 0.515749384630269 \tabularnewline
98 & 13.3 & 13.3024884845247 & 0.0548705741442968 & -0.0024884845246652 & -0.699698081684032 \tabularnewline
99 & 13.3 & 13.2949899090869 & 0.0431921275817087 & 0.00501009091307795 & -0.38680646674854 \tabularnewline
100 & 13.4 & 13.3958390587931 & 0.0539983571784409 & 0.00416094120685733 & 0.357377261930493 \tabularnewline
101 & 13.4 & 13.3970859875616 & 0.0441124636449976 & 0.00291401243837543 & -0.327004659479973 \tabularnewline
102 & 13.5 & 13.4946474272294 & 0.0541286035820151 & 0.00535257277057382 & 0.331358199093082 \tabularnewline
103 & 13.6 & 13.5987383815017 & 0.0634911903130864 & 0.00126161849828814 & 0.309751820653879 \tabularnewline
104 & 13.8 & 13.7857093738397 & 0.0866302037628482 & 0.0142906261603059 & 0.765551445596437 \tabularnewline
105 & 13.8 & 13.8024687874961 & 0.0735370798932076 & -0.00246878749613083 & -0.433192825426888 \tabularnewline
106 & 14.2 & 14.1931975637628 & 0.132976553778867 & 0.00680243623719682 & 1.96663337090127 \tabularnewline
107 & 14.3 & 14.2937458965817 & 0.126899613934193 & 0.00625410341831317 & -0.201067411138227 \tabularnewline
108 & 14.5 & 14.4993828127527 & 0.141647367596161 & 0.000617187247342734 & 0.488031642279672 \tabularnewline
109 & 14.6 & 14.6349305685149 & 0.140506396033442 & -0.0349305685149182 & -0.0383860473596484 \tabularnewline
110 & 14.8 & 14.8003261285116 & 0.145150356567587 & -0.000326128511632128 & 0.151236579681788 \tabularnewline
111 & 15.9 & 15.8751624223167 & 0.319186964534518 & 0.0248375776832896 & 5.76417960904757 \tabularnewline
112 & 16.1 & 16.1004426532135 & 0.301590499302732 & -0.000442653213464541 & -0.58197231377896 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270039&T=1

[TABLE]
[ROW][C]Structural Time Series Model[/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]4.3[/C][C]4.3[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]4.9[/C][C]4.86890766424547[/C][C]0.0390740988536353[/C][C]0.0310923357545276[/C][C]2.34013790827059[/C][/ROW]
[ROW][C]3[/C][C]5.6[/C][C]5.56594999712639[/C][C]0.0913442862563461[/C][C]0.0340500028736126[/C][C]4.3652493775383[/C][/ROW]
[ROW][C]4[/C][C]5.7[/C][C]5.66859913438037[/C][C]0.0925810483010426[/C][C]0.0314008656196286[/C][C]0.07373110933403[/C][/ROW]
[ROW][C]5[/C][C]5.9[/C][C]5.867442676552[/C][C]0.106680464846552[/C][C]0.0325573234480051[/C][C]0.683787434870485[/C][/ROW]
[ROW][C]6[/C][C]6.3[/C][C]6.26661958065638[/C][C]0.150503285512502[/C][C]0.0333804193436204[/C][C]1.86302607241063[/C][/ROW]
[ROW][C]7[/C][C]6.4[/C][C]6.36793269588277[/C][C]0.142533273261439[/C][C]0.0320673041172282[/C][C]-0.310984439855914[/C][/ROW]
[ROW][C]8[/C][C]6.4[/C][C]6.36799103861211[/C][C]0.118241561034599[/C][C]0.032008961387889[/C][C]-0.895994580900008[/C][/ROW]
[ROW][C]9[/C][C]6.4[/C][C]6.36790045794433[/C][C]0.0973817401248213[/C][C]0.0320995420556736[/C][C]-0.741441543767285[/C][/ROW]
[ROW][C]10[/C][C]6.7[/C][C]6.66682665312437[/C][C]0.133696588505519[/C][C]0.0331733468756317[/C][C]1.25965934215663[/C][/ROW]
[ROW][C]11[/C][C]6.7[/C][C]6.6682282670837[/C][C]0.109514089708215[/C][C]0.0317717329162965[/C][C]-0.825435105304071[/C][/ROW]
[ROW][C]12[/C][C]7.3[/C][C]7.26581665084385[/C][C]0.19957747666316[/C][C]0.0341833491561489[/C][C]3.04174343127483[/C][/ROW]
[ROW][C]13[/C][C]7.4[/C][C]7.67068776693275[/C][C]0.235661086746416[/C][C]-0.270687766932752[/C][C]1.49610542982601[/C][/ROW]
[ROW][C]14[/C][C]7.6[/C][C]7.58531140384422[/C][C]0.177125331212237[/C][C]0.0146885961557746[/C][C]-1.69091004935866[/C][/ROW]
[ROW][C]15[/C][C]7.7[/C][C]7.68073936535115[/C][C]0.161861272542971[/C][C]0.0192606346488452[/C][C]-0.507873384812228[/C][/ROW]
[ROW][C]16[/C][C]7.7[/C][C]7.68395876340941[/C][C]0.132166162235769[/C][C]0.0160412365905894[/C][C]-0.985581230795684[/C][/ROW]
[ROW][C]17[/C][C]7.9[/C][C]7.88247704434101[/C][C]0.144599279934553[/C][C]0.01752295565899[/C][C]0.412249768778954[/C][/ROW]
[ROW][C]18[/C][C]7.9[/C][C]7.88262455071909[/C][C]0.117512181390288[/C][C]0.0173754492809127[/C][C]-0.897486443821531[/C][/ROW]
[ROW][C]19[/C][C]8[/C][C]7.98238035661845[/C][C]0.114180940898509[/C][C]0.0176196433815554[/C][C]-0.110322166676577[/C][/ROW]
[ROW][C]20[/C][C]8.2[/C][C]8.18166738533094[/C][C]0.130152819428929[/C][C]0.0183326146690616[/C][C]0.528780332395516[/C][/ROW]
[ROW][C]21[/C][C]8.3[/C][C]8.28381286420094[/C][C]0.12489549061869[/C][C]0.016187135799064[/C][C]-0.174017836656955[/C][/ROW]
[ROW][C]22[/C][C]8.3[/C][C]8.28140005281312[/C][C]0.100994430161578[/C][C]0.0185999471868859[/C][C]-0.79101743265688[/C][/ROW]
[ROW][C]23[/C][C]8.5[/C][C]8.4836538292211[/C][C]0.120007325817311[/C][C]0.0163461707789044[/C][C]0.629188139311702[/C][/ROW]
[ROW][C]24[/C][C]8.6[/C][C]8.58175687944952[/C][C]0.115894587780201[/C][C]0.0182431205504827[/C][C]-0.136089044928085[/C][/ROW]
[ROW][C]25[/C][C]8.8[/C][C]8.94238631296117[/C][C]0.161194702778031[/C][C]-0.142386312961172[/C][C]1.64826850012436[/C][/ROW]
[ROW][C]26[/C][C]8.8[/C][C]8.79522425270284[/C][C]0.104443306719364[/C][C]0.0047757472971647[/C][C]-1.73870486004999[/C][/ROW]
[ROW][C]27[/C][C]9[/C][C]8.98718615236548[/C][C]0.120872911650769[/C][C]0.0128138476345247[/C][C]0.543631670534647[/C][/ROW]
[ROW][C]28[/C][C]9[/C][C]8.99473211839186[/C][C]0.099591908475311[/C][C]0.00526788160814355[/C][C]-0.703521542437381[/C][/ROW]
[ROW][C]29[/C][C]9.1[/C][C]9.09005238119257[/C][C]0.0987899074668942[/C][C]0.00994761880743327[/C][C]-0.0265237781697375[/C][/ROW]
[ROW][C]30[/C][C]9.2[/C][C]9.19106813770349[/C][C]0.0992077788309669[/C][C]0.00893186229651156[/C][C]0.0138220101744762[/C][/ROW]
[ROW][C]31[/C][C]9.3[/C][C]9.29178362578708[/C][C]0.0994908184403987[/C][C]0.00821637421291575[/C][C]0.00936306587629059[/C][/ROW]
[ROW][C]32[/C][C]9.3[/C][C]9.29142201911941[/C][C]0.0807460540302584[/C][C]0.00857798088059113[/C][C]-0.620124442185984[/C][/ROW]
[ROW][C]33[/C][C]9.3[/C][C]9.29195503929055[/C][C]0.0656881880798105[/C][C]0.00804496070945021[/C][C]-0.498173637220605[/C][/ROW]
[ROW][C]34[/C][C]9.6[/C][C]9.58860631793039[/C][C]0.10904542072528[/C][C]0.0113936820696113[/C][C]1.4344694791801[/C][/ROW]
[ROW][C]35[/C][C]9.6[/C][C]9.59355311961184[/C][C]0.089503099874461[/C][C]0.00644688038815604[/C][C]-0.646577066524427[/C][/ROW]
[ROW][C]36[/C][C]9.6[/C][C]9.59234719078329[/C][C]0.0724772740047816[/C][C]0.00765280921671135[/C][C]-0.563284592777245[/C][/ROW]
[ROW][C]37[/C][C]9.7[/C][C]9.77797105359155[/C][C]0.0935365061731631[/C][C]-0.0779710535915549[/C][C]0.741516724041245[/C][/ROW]
[ROW][C]38[/C][C]9.9[/C][C]9.89723335173811[/C][C]0.0982948714137796[/C][C]0.00276664826189075[/C][C]0.149283164088772[/C][/ROW]
[ROW][C]39[/C][C]9.9[/C][C]9.88852281363664[/C][C]0.078218292030319[/C][C]0.0114771863633633[/C][C]-0.664555059334588[/C][/ROW]
[ROW][C]40[/C][C]9.9[/C][C]9.89614819248243[/C][C]0.0649672783060214[/C][C]0.00385180751757181[/C][C]-0.438101268514507[/C][/ROW]
[ROW][C]41[/C][C]10[/C][C]9.99051065620833[/C][C]0.0704841199057244[/C][C]0.00948934379167188[/C][C]0.182466266591279[/C][/ROW]
[ROW][C]42[/C][C]10.1[/C][C]10.0921907837615[/C][C]0.0763385507948974[/C][C]0.00780921623853175[/C][C]0.193658398162414[/C][/ROW]
[ROW][C]43[/C][C]10.3[/C][C]10.2908251779312[/C][C]0.0992885337902156[/C][C]0.00917482206879203[/C][C]0.759221294144416[/C][/ROW]
[ROW][C]44[/C][C]10.3[/C][C]10.2925406061963[/C][C]0.080978323662025[/C][C]0.00745939380374993[/C][C]-0.605762175099518[/C][/ROW]
[ROW][C]45[/C][C]10.3[/C][C]10.2961147954294[/C][C]0.0664530480679441[/C][C]0.00388520457056871[/C][C]-0.480560680245952[/C][/ROW]
[ROW][C]46[/C][C]10.4[/C][C]10.3883626468596[/C][C]0.0712935776886334[/C][C]0.0116373531403774[/C][C]0.160150159178228[/C][/ROW]
[ROW][C]47[/C][C]10.5[/C][C]10.4930960322671[/C][C]0.0775689444004517[/C][C]0.00690396773287658[/C][C]0.207629451644757[/C][/ROW]
[ROW][C]48[/C][C]10.6[/C][C]10.5941325749277[/C][C]0.0819718270531505[/C][C]0.00586742507227275[/C][C]0.145665239960388[/C][/ROW]
[ROW][C]49[/C][C]10.7[/C][C]10.7716995450258[/C][C]0.0998027634470836[/C][C]-0.071699545025803[/C][C]0.617567853168328[/C][/ROW]
[ROW][C]50[/C][C]10.8[/C][C]10.7982232179097[/C][C]0.0862066850999692[/C][C]0.001776782090288[/C][C]-0.432103009683575[/C][/ROW]
[ROW][C]51[/C][C]10.8[/C][C]10.7902060977444[/C][C]0.0685373346096601[/C][C]0.00979390225562355[/C][C]-0.585035350829043[/C][/ROW]
[ROW][C]52[/C][C]10.8[/C][C]10.7982602708382[/C][C]0.0571883342331493[/C][C]0.0017397291618165[/C][C]-0.375247499867475[/C][/ROW]
[ROW][C]53[/C][C]10.9[/C][C]10.8911069352249[/C][C]0.0638782075958375[/C][C]0.00889306477511699[/C][C]0.221275434915583[/C][/ROW]
[ROW][C]54[/C][C]10.9[/C][C]10.8964991520916[/C][C]0.0529062502169065[/C][C]0.0035008479083985[/C][C]-0.362955913037601[/C][/ROW]
[ROW][C]55[/C][C]10.9[/C][C]10.8919274706414[/C][C]0.0421237108584278[/C][C]0.00807252935863071[/C][C]-0.356713083231722[/C][/ROW]
[ROW][C]56[/C][C]11.1[/C][C]11.0904958619679[/C][C]0.0714714425339648[/C][C]0.00950413803209961[/C][C]0.97093734213543[/C][/ROW]
[ROW][C]57[/C][C]11.1[/C][C]11.0992452702137[/C][C]0.0597053737950357[/C][C]0.000754729786294819[/C][C]-0.389278467667445[/C][/ROW]
[ROW][C]58[/C][C]11.1[/C][C]11.0908261571983[/C][C]0.0469258196658476[/C][C]0.00917384280168964[/C][C]-0.422818756528389[/C][/ROW]
[ROW][C]59[/C][C]11.2[/C][C]11.1934974259017[/C][C]0.0573835668759518[/C][C]0.00650257409831106[/C][C]0.346012956915135[/C][/ROW]
[ROW][C]60[/C][C]11.3[/C][C]11.2960951748508[/C][C]0.0658629935417525[/C][C]0.00390482514916299[/C][C]0.280538458354182[/C][/ROW]
[ROW][C]61[/C][C]11.3[/C][C]11.3647818988474[/C][C]0.0663903083707179[/C][C]-0.0647818988474363[/C][C]0.0180786972847044[/C][/ROW]
[ROW][C]62[/C][C]11.4[/C][C]11.3976934047038[/C][C]0.0601663043495825[/C][C]0.00230659529619448[/C][C]-0.199456980784263[/C][/ROW]
[ROW][C]63[/C][C]11.4[/C][C]11.3904196920019[/C][C]0.0475252897185909[/C][C]0.0095803079981348[/C][C]-0.418620874657265[/C][/ROW]
[ROW][C]64[/C][C]11.4[/C][C]11.3996729655923[/C][C]0.0403464037046337[/C][C]0.000327034407671541[/C][C]-0.237379228536867[/C][/ROW]
[ROW][C]65[/C][C]11.4[/C][C]11.3913033812286[/C][C]0.0312097469059361[/C][C]0.00869661877139597[/C][C]-0.302214537718639[/C][/ROW]
[ROW][C]66[/C][C]11.4[/C][C]11.3953979001896[/C][C]0.0261245636107232[/C][C]0.00460209981044307[/C][C]-0.168224000377235[/C][/ROW]
[ROW][C]67[/C][C]11.5[/C][C]11.4935503694414[/C][C]0.0396323297153146[/C][C]0.00644963055863656[/C][C]0.446878360983382[/C][/ROW]
[ROW][C]68[/C][C]11.6[/C][C]11.589565111256[/C][C]0.0502058852873095[/C][C]0.0104348887440314[/C][C]0.349818508801931[/C][/ROW]
[ROW][C]69[/C][C]11.6[/C][C]11.5991670619249[/C][C]0.0425913506215917[/C][C]0.000832938075074312[/C][C]-0.251927584319533[/C][/ROW]
[ROW][C]70[/C][C]11.7[/C][C]11.6907585079491[/C][C]0.0517804801377339[/C][C]0.00924149205088281[/C][C]0.304029682524296[/C][/ROW]
[ROW][C]71[/C][C]11.7[/C][C]11.6954492607974[/C][C]0.042949274491308[/C][C]0.0045507392026356[/C][C]-0.292197805581394[/C][/ROW]
[ROW][C]72[/C][C]11.8[/C][C]11.795303125048[/C][C]0.0536171514982004[/C][C]0.00469687495203084[/C][C]0.352954433193016[/C][/ROW]
[ROW][C]73[/C][C]11.8[/C][C]11.8613370974502[/C][C]0.0559375659974651[/C][C]-0.0613370974502013[/C][C]0.0790038792990673[/C][/ROW]
[ROW][C]74[/C][C]11.8[/C][C]11.798878198598[/C][C]0.0338965079391401[/C][C]0.00112180140203758[/C][C]-0.710457009256362[/C][/ROW]
[ROW][C]75[/C][C]11.9[/C][C]11.8893215592129[/C][C]0.0444915236005869[/C][C]0.0106784407871408[/C][C]0.350902382002635[/C][/ROW]
[ROW][C]76[/C][C]12[/C][C]11.9987744833104[/C][C]0.0566729865395697[/C][C]0.00122551668963646[/C][C]0.40281657199229[/C][/ROW]
[ROW][C]77[/C][C]12.1[/C][C]12.0908988010641[/C][C]0.0633199435756121[/C][C]0.00910119893586354[/C][C]0.219865688491433[/C][/ROW]
[ROW][C]78[/C][C]12.2[/C][C]12.1965601009177[/C][C]0.0712583578721728[/C][C]0.00343989908225672[/C][C]0.262616948352499[/C][/ROW]
[ROW][C]79[/C][C]12.2[/C][C]12.196939756045[/C][C]0.057969877203203[/C][C]0.00306024395497805[/C][C]-0.439629188998986[/C][/ROW]
[ROW][C]80[/C][C]12.3[/C][C]12.2884615305713[/C][C]0.0642601846482065[/C][C]0.0115384694286696[/C][C]0.20811197280659[/C][/ROW]
[ROW][C]81[/C][C]12.3[/C][C]12.3020025421336[/C][C]0.0547513984869396[/C][C]-0.00200254213356444[/C][C]-0.314600776888568[/C][/ROW]
[ROW][C]82[/C][C]12.3[/C][C]12.2913522509931[/C][C]0.042489853501082[/C][C]0.0086477490068785[/C][C]-0.405685387497965[/C][/ROW]
[ROW][C]83[/C][C]12.5[/C][C]12.4940654108292[/C][C]0.0725296477225999[/C][C]0.00593458917077677[/C][C]0.993928546853989[/C][/ROW]
[ROW][C]84[/C][C]12.6[/C][C]12.5964037036318[/C][C]0.0781160000375034[/C][C]0.00359629636818186[/C][C]0.184837787222356[/C][/ROW]
[ROW][C]85[/C][C]12.6[/C][C]12.6540863328219[/C][C]0.0742957382149025[/C][C]-0.0540863328219158[/C][C]-0.129413370208361[/C][/ROW]
[ROW][C]86[/C][C]12.6[/C][C]12.6016989414712[/C][C]0.0506888430350294[/C][C]-0.00169894147120233[/C][C]-0.764217625711748[/C][/ROW]
[ROW][C]87[/C][C]12.6[/C][C]12.5915653724141[/C][C]0.0392966369993197[/C][C]0.00843462758587766[/C][C]-0.377323570263286[/C][/ROW]
[ROW][C]88[/C][C]12.7[/C][C]12.6981668968677[/C][C]0.0519141348909381[/C][C]0.00183310313225476[/C][C]0.417256459959377[/C][/ROW]
[ROW][C]89[/C][C]12.7[/C][C]12.694045652925[/C][C]0.0414104494708889[/C][C]0.00595434707504116[/C][C]-0.347439442807325[/C][/ROW]
[ROW][C]90[/C][C]12.8[/C][C]12.7942446434222[/C][C]0.0524296791452132[/C][C]0.00575535657775126[/C][C]0.364540095664306[/C][/ROW]
[ROW][C]91[/C][C]12.9[/C][C]12.897770518464[/C][C]0.0620068784470925[/C][C]0.0022294815360482[/C][C]0.316849936409903[/C][/ROW]
[ROW][C]92[/C][C]13[/C][C]12.9880705009638[/C][C]0.0673099339712737[/C][C]0.0119294990362101[/C][C]0.175450194108372[/C][/ROW]
[ROW][C]93[/C][C]13[/C][C]13.00163330397[/C][C]0.0572359960920624[/C][C]-0.00163330397000734[/C][C]-0.33330035162681[/C][/ROW]
[ROW][C]94[/C][C]13[/C][C]12.9958085799016[/C][C]0.0454162714165343[/C][C]0.00419142009839886[/C][C]-0.391069351251909[/C][/ROW]
[ROW][C]95[/C][C]13.2[/C][C]13.19222957472[/C][C]0.073720502533912[/C][C]0.00777042527997994[/C][C]0.936503623017112[/C][/ROW]
[ROW][C]96[/C][C]13.2[/C][C]13.1987427177779[/C][C]0.0611290825458843[/C][C]0.00125728222205864[/C][C]-0.416643701842618[/C][/ROW]
[ROW][C]97[/C][C]13.3[/C][C]13.3415942603443[/C][C]0.0764126846874335[/C][C]-0.0415942603442956[/C][C]0.515749384630269[/C][/ROW]
[ROW][C]98[/C][C]13.3[/C][C]13.3024884845247[/C][C]0.0548705741442968[/C][C]-0.0024884845246652[/C][C]-0.699698081684032[/C][/ROW]
[ROW][C]99[/C][C]13.3[/C][C]13.2949899090869[/C][C]0.0431921275817087[/C][C]0.00501009091307795[/C][C]-0.38680646674854[/C][/ROW]
[ROW][C]100[/C][C]13.4[/C][C]13.3958390587931[/C][C]0.0539983571784409[/C][C]0.00416094120685733[/C][C]0.357377261930493[/C][/ROW]
[ROW][C]101[/C][C]13.4[/C][C]13.3970859875616[/C][C]0.0441124636449976[/C][C]0.00291401243837543[/C][C]-0.327004659479973[/C][/ROW]
[ROW][C]102[/C][C]13.5[/C][C]13.4946474272294[/C][C]0.0541286035820151[/C][C]0.00535257277057382[/C][C]0.331358199093082[/C][/ROW]
[ROW][C]103[/C][C]13.6[/C][C]13.5987383815017[/C][C]0.0634911903130864[/C][C]0.00126161849828814[/C][C]0.309751820653879[/C][/ROW]
[ROW][C]104[/C][C]13.8[/C][C]13.7857093738397[/C][C]0.0866302037628482[/C][C]0.0142906261603059[/C][C]0.765551445596437[/C][/ROW]
[ROW][C]105[/C][C]13.8[/C][C]13.8024687874961[/C][C]0.0735370798932076[/C][C]-0.00246878749613083[/C][C]-0.433192825426888[/C][/ROW]
[ROW][C]106[/C][C]14.2[/C][C]14.1931975637628[/C][C]0.132976553778867[/C][C]0.00680243623719682[/C][C]1.96663337090127[/C][/ROW]
[ROW][C]107[/C][C]14.3[/C][C]14.2937458965817[/C][C]0.126899613934193[/C][C]0.00625410341831317[/C][C]-0.201067411138227[/C][/ROW]
[ROW][C]108[/C][C]14.5[/C][C]14.4993828127527[/C][C]0.141647367596161[/C][C]0.000617187247342734[/C][C]0.488031642279672[/C][/ROW]
[ROW][C]109[/C][C]14.6[/C][C]14.6349305685149[/C][C]0.140506396033442[/C][C]-0.0349305685149182[/C][C]-0.0383860473596484[/C][/ROW]
[ROW][C]110[/C][C]14.8[/C][C]14.8003261285116[/C][C]0.145150356567587[/C][C]-0.000326128511632128[/C][C]0.151236579681788[/C][/ROW]
[ROW][C]111[/C][C]15.9[/C][C]15.8751624223167[/C][C]0.319186964534518[/C][C]0.0248375776832896[/C][C]5.76417960904757[/C][/ROW]
[ROW][C]112[/C][C]16.1[/C][C]16.1004426532135[/C][C]0.301590499302732[/C][C]-0.000442653213464541[/C][C]-0.58197231377896[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=270039&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270039&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
tObservedLevelSlopeSeasonalStand. Residuals
14.34.3000
24.94.868907664245470.03907409885363530.03109233575452762.34013790827059
35.65.565949997126390.09134428625634610.03405000287361264.3652493775383
45.75.668599134380370.09258104830104260.03140086561962860.07373110933403
55.95.8674426765520.1066804648465520.03255732344800510.683787434870485
66.36.266619580656380.1505032855125020.03338041934362041.86302607241063
76.46.367932695882770.1425332732614390.0320673041172282-0.310984439855914
86.46.367991038612110.1182415610345990.032008961387889-0.895994580900008
96.46.367900457944330.09738174012482130.0320995420556736-0.741441543767285
106.76.666826653124370.1336965885055190.03317334687563171.25965934215663
116.76.66822826708370.1095140897082150.0317717329162965-0.825435105304071
127.37.265816650843850.199577476663160.03418334915614893.04174343127483
137.47.670687766932750.235661086746416-0.2706877669327521.49610542982601
147.67.585311403844220.1771253312122370.0146885961557746-1.69091004935866
157.77.680739365351150.1618612725429710.0192606346488452-0.507873384812228
167.77.683958763409410.1321661622357690.0160412365905894-0.985581230795684
177.97.882477044341010.1445992799345530.017522955658990.412249768778954
187.97.882624550719090.1175121813902880.0173754492809127-0.897486443821531
1987.982380356618450.1141809408985090.0176196433815554-0.110322166676577
208.28.181667385330940.1301528194289290.01833261466906160.528780332395516
218.38.283812864200940.124895490618690.016187135799064-0.174017836656955
228.38.281400052813120.1009944301615780.0185999471868859-0.79101743265688
238.58.48365382922110.1200073258173110.01634617077890440.629188139311702
248.68.581756879449520.1158945877802010.0182431205504827-0.136089044928085
258.88.942386312961170.161194702778031-0.1423863129611721.64826850012436
268.88.795224252702840.1044433067193640.0047757472971647-1.73870486004999
2798.987186152365480.1208729116507690.01281384763452470.543631670534647
2898.994732118391860.0995919084753110.00526788160814355-0.703521542437381
299.19.090052381192570.09878990746689420.00994761880743327-0.0265237781697375
309.29.191068137703490.09920777883096690.008931862296511560.0138220101744762
319.39.291783625787080.09949081844039870.008216374212915750.00936306587629059
329.39.291422019119410.08074605403025840.00857798088059113-0.620124442185984
339.39.291955039290550.06568818807981050.00804496070945021-0.498173637220605
349.69.588606317930390.109045420725280.01139368206961131.4344694791801
359.69.593553119611840.0895030998744610.00644688038815604-0.646577066524427
369.69.592347190783290.07247727400478160.00765280921671135-0.563284592777245
379.79.777971053591550.0935365061731631-0.07797105359155490.741516724041245
389.99.897233351738110.09829487141377960.002766648261890750.149283164088772
399.99.888522813636640.0782182920303190.0114771863633633-0.664555059334588
409.99.896148192482430.06496727830602140.00385180751757181-0.438101268514507
41109.990510656208330.07048411990572440.009489343791671880.182466266591279
4210.110.09219078376150.07633855079489740.007809216238531750.193658398162414
4310.310.29082517793120.09928853379021560.009174822068792030.759221294144416
4410.310.29254060619630.0809783236620250.00745939380374993-0.605762175099518
4510.310.29611479542940.06645304806794410.00388520457056871-0.480560680245952
4610.410.38836264685960.07129357768863340.01163735314037740.160150159178228
4710.510.49309603226710.07756894440045170.006903967732876580.207629451644757
4810.610.59413257492770.08197182705315050.005867425072272750.145665239960388
4910.710.77169954502580.0998027634470836-0.0716995450258030.617567853168328
5010.810.79822321790970.08620668509996920.001776782090288-0.432103009683575
5110.810.79020609774440.06853733460966010.00979390225562355-0.585035350829043
5210.810.79826027083820.05718833423314930.0017397291618165-0.375247499867475
5310.910.89110693522490.06387820759583750.008893064775116990.221275434915583
5410.910.89649915209160.05290625021690650.0035008479083985-0.362955913037601
5510.910.89192747064140.04212371085842780.00807252935863071-0.356713083231722
5611.111.09049586196790.07147144253396480.009504138032099610.97093734213543
5711.111.09924527021370.05970537379503570.000754729786294819-0.389278467667445
5811.111.09082615719830.04692581966584760.00917384280168964-0.422818756528389
5911.211.19349742590170.05738356687595180.006502574098311060.346012956915135
6011.311.29609517485080.06586299354175250.003904825149162990.280538458354182
6111.311.36478189884740.0663903083707179-0.06478189884743630.0180786972847044
6211.411.39769340470380.06016630434958250.00230659529619448-0.199456980784263
6311.411.39041969200190.04752528971859090.0095803079981348-0.418620874657265
6411.411.39967296559230.04034640370463370.000327034407671541-0.237379228536867
6511.411.39130338122860.03120974690593610.00869661877139597-0.302214537718639
6611.411.39539790018960.02612456361072320.00460209981044307-0.168224000377235
6711.511.49355036944140.03963232971531460.006449630558636560.446878360983382
6811.611.5895651112560.05020588528730950.01043488874403140.349818508801931
6911.611.59916706192490.04259135062159170.000832938075074312-0.251927584319533
7011.711.69075850794910.05178048013773390.009241492050882810.304029682524296
7111.711.69544926079740.0429492744913080.0045507392026356-0.292197805581394
7211.811.7953031250480.05361715149820040.004696874952030840.352954433193016
7311.811.86133709745020.0559375659974651-0.06133709745020130.0790038792990673
7411.811.7988781985980.03389650793914010.00112180140203758-0.710457009256362
7511.911.88932155921290.04449152360058690.01067844078714080.350902382002635
761211.99877448331040.05667298653956970.001225516689636460.40281657199229
7712.112.09089880106410.06331994357561210.009101198935863540.219865688491433
7812.212.19656010091770.07125835787217280.003439899082256720.262616948352499
7912.212.1969397560450.0579698772032030.00306024395497805-0.439629188998986
8012.312.28846153057130.06426018464820650.01153846942866960.20811197280659
8112.312.30200254213360.0547513984869396-0.00200254213356444-0.314600776888568
8212.312.29135225099310.0424898535010820.0086477490068785-0.405685387497965
8312.512.49406541082920.07252964772259990.005934589170776770.993928546853989
8412.612.59640370363180.07811600003750340.003596296368181860.184837787222356
8512.612.65408633282190.0742957382149025-0.0540863328219158-0.129413370208361
8612.612.60169894147120.0506888430350294-0.00169894147120233-0.764217625711748
8712.612.59156537241410.03929663699931970.00843462758587766-0.377323570263286
8812.712.69816689686770.05191413489093810.001833103132254760.417256459959377
8912.712.6940456529250.04141044947088890.00595434707504116-0.347439442807325
9012.812.79424464342220.05242967914521320.005755356577751260.364540095664306
9112.912.8977705184640.06200687844709250.00222948153604820.316849936409903
921312.98807050096380.06730993397127370.01192949903621010.175450194108372
931313.001633303970.0572359960920624-0.00163330397000734-0.33330035162681
941312.99580857990160.04541627141653430.00419142009839886-0.391069351251909
9513.213.192229574720.0737205025339120.007770425279979940.936503623017112
9613.213.19874271777790.06112908254588430.00125728222205864-0.416643701842618
9713.313.34159426034430.0764126846874335-0.04159426034429560.515749384630269
9813.313.30248848452470.0548705741442968-0.0024884845246652-0.699698081684032
9913.313.29498990908690.04319212758170870.00501009091307795-0.38680646674854
10013.413.39583905879310.05399835717844090.004160941206857330.357377261930493
10113.413.39708598756160.04411246364499760.00291401243837543-0.327004659479973
10213.513.49464742722940.05412860358201510.005352572770573820.331358199093082
10313.613.59873838150170.06349119031308640.001261618498288140.309751820653879
10413.813.78570937383970.08663020376284820.01429062616030590.765551445596437
10513.813.80246878749610.0735370798932076-0.00246878749613083-0.433192825426888
10614.214.19319756376280.1329765537788670.006802436237196821.96663337090127
10714.314.29374589658170.1268996139341930.00625410341831317-0.201067411138227
10814.514.49938281275270.1416473675961610.0006171872473427340.488031642279672
10914.614.63493056851490.140506396033442-0.0349305685149182-0.0383860473596484
11014.814.80032612851160.145150356567587-0.0003261285116321280.151236579681788
11115.915.87516242231670.3191869645345180.02483757768328965.76417960904757
11216.116.10044265321350.301590499302732-0.000442653213464541-0.58197231377896



Parameters (Session):
par1 = 12 ;
Parameters (R input):
par1 = 12 ;
R code (references can be found in the software module):
par1 <- as.numeric(par1)
nx <- length(x)
x <- ts(x,frequency=par1)
m <- StructTS(x,type='BSM')
m$coef
m$fitted
m$resid
mylevel <- as.numeric(m$fitted[,'level'])
myslope <- as.numeric(m$fitted[,'slope'])
myseas <- as.numeric(m$fitted[,'sea'])
myresid <- as.numeric(m$resid)
myfit <- mylevel+myseas
mylagmax <- nx/2
bitmap(file='test2.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(x),lag.max = mylagmax,main='Observed')
acf(mylevel,na.action=na.pass,lag.max = mylagmax,main='Level')
acf(myseas,na.action=na.pass,lag.max = mylagmax,main='Seasonal')
acf(myresid,na.action=na.pass,lag.max = mylagmax,main='Standardized Residals')
par(op)
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
spectrum(as.numeric(x),main='Observed')
spectrum(mylevel,main='Level')
spectrum(myseas,main='Seasonal')
spectrum(myresid,main='Standardized Residals')
par(op)
dev.off()
bitmap(file='test4.png')
op <- par(mfrow = c(2,2))
cpgram(as.numeric(x),main='Observed')
cpgram(mylevel,main='Level')
cpgram(myseas,main='Seasonal')
cpgram(myresid,main='Standardized Residals')
par(op)
dev.off()
bitmap(file='test1.png')
plot(as.numeric(m$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()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Structural Time Series Model',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')