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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 computationFri, 23 Dec 2016 08:48:45 +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/23/t1482479593rir4p3o7rxb2sme.htm/, Retrieved Wed, 08 May 2024 01:41:14 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=302759, Retrieved Wed, 08 May 2024 01:41:14 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact112
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...] [2016-12-23 07:48:45] [55eb8f21ed24cda91766c505eb72bb6f] [Current]
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Dataseries X:
3949.9
4010.65
4381.8
4238.25
4178.1
4702.25
3944.1
4208.5
4743.45
4948.25
4735.45
4843.15
4757.75
5227.15
5739.65
4981.45
5020.05
5149.15
4513.35
4762.55
4990.45
4963.35
5010
4983.3
4924.7
5175.25
5470.3
4969.4
5020.5
5519.2
4510.75
4934.45
5430.65
5254.7
4897.8
5305.7
5055.7
5409
5683
5125.55
4965.2
5373.3
4556.1
4714.25
5513.85
5258.45
5111.4
5422.25
4753.3
5455.5
5909.15
5524.4
5477.8
5907.75
5072.55
5171
5871.4
5812.45
5692.2
5838.1
5438.2
6041.05
6335.6
5891.8
5909.65
6449.75
5312.25
5828.1
6466.15
6328.35
6131.8
6734.2
6037.25
6412.4
6785.55
6386
6045.25
6597.25
5355.9
5773.35
6539.6
6149.2
6373.45
6504.7
5451.25
6119.9
6954.95
6139.7
6383.25
6643.7
5547.75
5974
6583.6
6571.55
5736.5
6027.2
5302.65
5825.85
5910.6
5733.65
5914.3
6128.25
5680.5
5926.3
6270.5
6263
6064.55
5706.6
5365
5884.2
6504.4
6174.3
6123.65
6698.95
5256.55
5838.2




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=302759&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=302759&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=302759&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
13949.93949.9000
24010.653989.559951432022.2629134182532711.52614805122960.232752924877121
34381.84212.541883532414.1301637322144108.1755889149051.49736844453643
44238.254245.253775605414.7492223922719-13.33397102664390.144713438862541
54178.14211.9834228542313.7456229028628-16.5741681853952-0.386819796908024
64702.254459.6749048162217.4690055880327157.1475668498851.89745527766913
73944.14219.6674039480713.7836617983256-181.275090604908-2.09103514156236
84208.54182.990298742613.08507273897443.9992110099102-0.409871993899846
94743.454466.8203463036816.7820872915166177.4182230160782.19909312360466
104948.254747.563401822320.3461039953897103.9567427780152.14395746251415
114735.454771.7543643577420.3973965980849-37.71345027106870.0312292835378795
124843.154808.4573407623120.612177015959128.71625376862490.132443147851344
134757.754872.5535554519118.3539935396369-131.466620328850.412064352042109
145227.155110.3383462161821.174022885953546.35336393071061.68086302959989
155739.655415.8894818914628.8044195669044238.9664132440672.09957112242675
164981.455250.2859297427724.3774249799183-206.887628403946-1.51493376319095
175020.055164.9738819301122.6170589267886-108.402592399621-0.880650388460327
185149.155029.6261108844320.7784051780242172.954263830488-1.28022297875487
194513.354848.100631880518.8329489945259-266.004691903793-1.64348169938508
204762.554811.7077826307518.3378092567684-30.3709838182269-0.448848413961282
214990.454852.0762877616518.5336170910032130.8787382072730.179060860166196
224963.354865.891171997118.492153844000599.0643157069494-0.0383539853749394
2350104964.0541661795119.098137494605318.81598538688430.64743203769268
244983.34994.6406771564319.1258511099714-15.26701250400010.0934691026364464
254924.75088.7921576188618.0555974008185-190.4666628908310.637840450874282
265175.255172.8435908970618.4073793664355-19.40401733168420.526654116092731
275470.35180.602957415418.2322431244822293.023638206394-0.0819211995960449
284969.45163.8193254880417.6270635114734-183.29796062096-0.274424962813928
295020.55116.8927777096616.7179393866413-75.3048025912684-0.516913471217326
305519.25187.2237121255617.2981564563034314.1879655331720.43379113827747
314510.754997.9595717810215.4861092285957-418.24427649839-1.67753564511461
324934.454970.6253406566815.1517863004974-21.8479115725172-0.348150208105522
335430.655129.3461237842216.2079027801671253.2326279488471.16760753812441
345254.75181.5866451105116.448388868989961.04304204260290.292996058202606
354897.85058.84292471115.7819948785438-114.372565425895-1.13132608427817
365305.75192.4727681336715.868387450286273.57762501050890.960107857347363
375055.75248.1860948972615.7022431708226-206.0395669366750.328787005457303
3854095342.4073659428916.019503129062540.62623094500720.63112242154693
3956835374.7135566731916.2045876810492303.0779602357770.127903178615639
405125.555343.8024914392415.5698312606822-203.172350604841-0.371915333368276
414965.25203.6117041625313.6594419260773-187.741608117238-1.24673044239229
425373.35086.5421392309412.33373170779329.840424231882-1.05637454246391
434556.15024.7184016616211.7126272216903-444.012151520373-0.601920724661663
444714.254913.5004295645510.8251900241861-158.337146259973-0.999520249070389
455513.855068.4462270069911.7427810723088397.3770155671851.17231614516555
465258.455129.9433374801612.0057428427935111.9162448372020.404594846795854
475111.45213.8223611905912.2547571958697-126.4067537910150.584263951505897
485422.255305.0803032113212.330238061657890.74572155455010.643285856740536
494753.35173.8986668073912.3850972211676-372.471519144478-1.17165455896197
505455.55277.8119235690212.7420709998563147.471775739070.736998549737319
515909.155431.2079586761613.9626897425685432.4368198592741.11649190700057
525524.45556.0593074784215.1651889757874-67.41632511470650.880700021215564
535477.85596.3396668045315.4325196796444-126.7118715163020.201215046466432
545907.755578.4270621789315.1207460895127340.282094090323-0.269269548250944
555072.555537.6916732029714.678073088007-446.663665135267-0.453117988146202
5651715471.159381415314.1319638594279-273.201464688987-0.660135978102913
575871.45483.0388177520914.1192209584444389.110101857283-0.0183199368988447
585812.455605.5799377582414.6014654867949170.7967754060880.881564668744379
595692.25731.5964820848914.9279689053617-76.48822512939490.905680995519222
605838.15739.6640843643914.9180018829484100.722381774401-0.0558038597768914
615438.25810.9971309004614.9904536139322-391.5873279372950.458579884945086
626041.055900.8761692392815.2833265077115115.4803525989950.603561330866389
636335.65942.190167933915.4690952573691384.93603020620.207891019055026
645891.85964.021151337915.5264511990158-74.28419215959760.0507658417785658
655909.655996.1548824859115.6804569769778-91.91744837371010.133251286878745
666449.756043.2719411655715.9482213732282396.1559178395950.253817726464503
675312.255906.4089580546514.8176214317242-543.691789400396-1.23904282742463
685828.15996.0000748678815.2856069290574-192.6801342247540.607566808952123
696466.156074.9522653574615.6130043845439370.0622047386410.517640310579802
706328.356149.6226668943715.8473845355546159.1072259369290.480087207824294
716131.86194.9693865141915.9288561771444-72.97412747192860.239751407075819
726734.26429.0176061137516.3406851354065232.6654335649511.77263088560312
736037.256478.2415903659416.4098162652906-451.9046012993260.266784207104818
746412.46413.0567980167816.091937665494926.2318112869466-0.658120001005827
756785.556410.8243135749215.9789231730431380.712588692828-0.146904494627085
7663866443.3806328809816.1067220618182-62.77839077606230.132750525368574
776045.256306.5602984174614.8616347532709-211.374623973976-1.22898468744874
786597.256224.6525610666714.1149132841359404.368994936721-0.781442890644467
795355.96087.7512305919913.0809262235276-682.02499328622-1.22404891108688
805773.356038.4779990414212.7178648510528-244.488100681815-0.506433825995578
816539.66116.1810274819913.0271732323793401.8709683607760.528165915729568
826149.26088.7824012821112.8777255074773.8324702931465-0.328543254934503
836373.456301.551020720113.42684717245895.546256313676081.6241413603155
846504.76316.288373723613.4297513658907187.9767058241950.0106431077379106
855451.256112.7365869168612.8796112026791-589.624304729987-1.75885551174328
866119.96082.714795507112.714754515002851.3199218185147-0.346286237045677
876954.956308.1913604873513.8856795707322577.0814473124791.71010251772137
886139.76248.3407033992713.388342334798-84.559515308413-0.592050789134255
896383.256383.021042724614.263425699004-39.44778114732350.976192965247351
906643.76303.3900255604313.6074838031985371.148190833887-0.758489158054577
915547.756258.9987378650313.2414304416383-692.122642351432-0.469995565502061
9259746254.5524425269813.1455197880509-274.702622685627-0.143601244323231
936583.66228.5215318677212.9706482656003368.056682558272-0.318290900919319
946571.556391.7880524222413.5022165281488129.93449001591.22113213909806
955736.56091.5991382865912.627987531834-251.079275927365-2.54805205024712
966027.25907.3877816715912.1455755001689185.053147557893-1.59784539104964
975302.655889.1300853621412.0612413314968-576.423071667392-0.24635848228342
985825.855875.0953525706311.9630136782036-40.6473590537182-0.210782887948988
995910.65612.9819286929910.5886515781999387.525097107652-2.20705687976886
1005733.655703.9453664197911.07163242604753.396433114045370.646670713239752
1015914.35813.2467194528811.705668421651868.86992647686510.791607078858889
1026128.255791.2965475109411.4922944448604348.013080531613-0.271991333278287
1035680.56063.3313814008813.0074375169122-468.7297313640472.11107030163786
1045926.36156.7622388532313.4144414524896-257.0443640482480.652723851295108
1056270.56061.1721046521512.9539877238123245.412216951719-0.885327772614395
10662636019.5213937057512.7665165811915261.56786894719-0.443538965688458
1076064.556118.7404469079813.0117157980872-82.83415247560750.702051652093926
1085706.65842.5134922140312.2559602815468-40.1373233891045-2.34714638675232
10953655846.7277983211412.2326071085131-479.069676487744-0.0651541763208782
1105884.25841.9997281140212.170334893576147.7892377735399-0.137080543246946
1116504.45997.7036849237512.8354363093732459.5525977188461.15747535673666
1126174.36121.8078265594713.439751616865216.0086583926410.896655848532384
1136123.656118.4819626333813.342039636281510.668447473526-0.135259493308491
1146698.956286.0081970771514.2329121752961362.2450586614891.24660646533866
1155256.556054.6034493381912.9142982605215-717.072581259234-1.99024746649263
1165838.26032.9605399657112.7506119389609-183.343125231304-0.28040197863636

\begin{tabular}{lllllllll}
\hline
Structural Time Series Model -- Interpolation \tabularnewline
t & Observed & Level & Slope & Seasonal & Stand. Residuals \tabularnewline
1 & 3949.9 & 3949.9 & 0 & 0 & 0 \tabularnewline
2 & 4010.65 & 3989.55995143202 & 2.26291341825327 & 11.5261480512296 & 0.232752924877121 \tabularnewline
3 & 4381.8 & 4212.5418835324 & 14.1301637322144 & 108.175588914905 & 1.49736844453643 \tabularnewline
4 & 4238.25 & 4245.2537756054 & 14.7492223922719 & -13.3339710266439 & 0.144713438862541 \tabularnewline
5 & 4178.1 & 4211.98342285423 & 13.7456229028628 & -16.5741681853952 & -0.386819796908024 \tabularnewline
6 & 4702.25 & 4459.67490481622 & 17.4690055880327 & 157.147566849885 & 1.89745527766913 \tabularnewline
7 & 3944.1 & 4219.66740394807 & 13.7836617983256 & -181.275090604908 & -2.09103514156236 \tabularnewline
8 & 4208.5 & 4182.9902987426 & 13.085072738974 & 43.9992110099102 & -0.409871993899846 \tabularnewline
9 & 4743.45 & 4466.82034630368 & 16.7820872915166 & 177.418223016078 & 2.19909312360466 \tabularnewline
10 & 4948.25 & 4747.5634018223 & 20.3461039953897 & 103.956742778015 & 2.14395746251415 \tabularnewline
11 & 4735.45 & 4771.75436435774 & 20.3973965980849 & -37.7134502710687 & 0.0312292835378795 \tabularnewline
12 & 4843.15 & 4808.45734076231 & 20.6121770159591 & 28.7162537686249 & 0.132443147851344 \tabularnewline
13 & 4757.75 & 4872.55355545191 & 18.3539935396369 & -131.46662032885 & 0.412064352042109 \tabularnewline
14 & 5227.15 & 5110.33834621618 & 21.1740228859535 & 46.3533639307106 & 1.68086302959989 \tabularnewline
15 & 5739.65 & 5415.88948189146 & 28.8044195669044 & 238.966413244067 & 2.09957112242675 \tabularnewline
16 & 4981.45 & 5250.28592974277 & 24.3774249799183 & -206.887628403946 & -1.51493376319095 \tabularnewline
17 & 5020.05 & 5164.97388193011 & 22.6170589267886 & -108.402592399621 & -0.880650388460327 \tabularnewline
18 & 5149.15 & 5029.62611088443 & 20.7784051780242 & 172.954263830488 & -1.28022297875487 \tabularnewline
19 & 4513.35 & 4848.1006318805 & 18.8329489945259 & -266.004691903793 & -1.64348169938508 \tabularnewline
20 & 4762.55 & 4811.70778263075 & 18.3378092567684 & -30.3709838182269 & -0.448848413961282 \tabularnewline
21 & 4990.45 & 4852.07628776165 & 18.5336170910032 & 130.878738207273 & 0.179060860166196 \tabularnewline
22 & 4963.35 & 4865.8911719971 & 18.4921538440005 & 99.0643157069494 & -0.0383539853749394 \tabularnewline
23 & 5010 & 4964.05416617951 & 19.0981374946053 & 18.8159853868843 & 0.64743203769268 \tabularnewline
24 & 4983.3 & 4994.64067715643 & 19.1258511099714 & -15.2670125040001 & 0.0934691026364464 \tabularnewline
25 & 4924.7 & 5088.79215761886 & 18.0555974008185 & -190.466662890831 & 0.637840450874282 \tabularnewline
26 & 5175.25 & 5172.84359089706 & 18.4073793664355 & -19.4040173316842 & 0.526654116092731 \tabularnewline
27 & 5470.3 & 5180.6029574154 & 18.2322431244822 & 293.023638206394 & -0.0819211995960449 \tabularnewline
28 & 4969.4 & 5163.81932548804 & 17.6270635114734 & -183.29796062096 & -0.274424962813928 \tabularnewline
29 & 5020.5 & 5116.89277770966 & 16.7179393866413 & -75.3048025912684 & -0.516913471217326 \tabularnewline
30 & 5519.2 & 5187.22371212556 & 17.2981564563034 & 314.187965533172 & 0.43379113827747 \tabularnewline
31 & 4510.75 & 4997.95957178102 & 15.4861092285957 & -418.24427649839 & -1.67753564511461 \tabularnewline
32 & 4934.45 & 4970.62534065668 & 15.1517863004974 & -21.8479115725172 & -0.348150208105522 \tabularnewline
33 & 5430.65 & 5129.34612378422 & 16.2079027801671 & 253.232627948847 & 1.16760753812441 \tabularnewline
34 & 5254.7 & 5181.58664511051 & 16.4483888689899 & 61.0430420426029 & 0.292996058202606 \tabularnewline
35 & 4897.8 & 5058.842924711 & 15.7819948785438 & -114.372565425895 & -1.13132608427817 \tabularnewline
36 & 5305.7 & 5192.47276813367 & 15.8683874502862 & 73.5776250105089 & 0.960107857347363 \tabularnewline
37 & 5055.7 & 5248.18609489726 & 15.7022431708226 & -206.039566936675 & 0.328787005457303 \tabularnewline
38 & 5409 & 5342.40736594289 & 16.0195031290625 & 40.6262309450072 & 0.63112242154693 \tabularnewline
39 & 5683 & 5374.71355667319 & 16.2045876810492 & 303.077960235777 & 0.127903178615639 \tabularnewline
40 & 5125.55 & 5343.80249143924 & 15.5698312606822 & -203.172350604841 & -0.371915333368276 \tabularnewline
41 & 4965.2 & 5203.61170416253 & 13.6594419260773 & -187.741608117238 & -1.24673044239229 \tabularnewline
42 & 5373.3 & 5086.54213923094 & 12.33373170779 & 329.840424231882 & -1.05637454246391 \tabularnewline
43 & 4556.1 & 5024.71840166162 & 11.7126272216903 & -444.012151520373 & -0.601920724661663 \tabularnewline
44 & 4714.25 & 4913.50042956455 & 10.8251900241861 & -158.337146259973 & -0.999520249070389 \tabularnewline
45 & 5513.85 & 5068.44622700699 & 11.7427810723088 & 397.377015567185 & 1.17231614516555 \tabularnewline
46 & 5258.45 & 5129.94333748016 & 12.0057428427935 & 111.916244837202 & 0.404594846795854 \tabularnewline
47 & 5111.4 & 5213.82236119059 & 12.2547571958697 & -126.406753791015 & 0.584263951505897 \tabularnewline
48 & 5422.25 & 5305.08030321132 & 12.3302380616578 & 90.7457215545501 & 0.643285856740536 \tabularnewline
49 & 4753.3 & 5173.89866680739 & 12.3850972211676 & -372.471519144478 & -1.17165455896197 \tabularnewline
50 & 5455.5 & 5277.81192356902 & 12.7420709998563 & 147.47177573907 & 0.736998549737319 \tabularnewline
51 & 5909.15 & 5431.20795867616 & 13.9626897425685 & 432.436819859274 & 1.11649190700057 \tabularnewline
52 & 5524.4 & 5556.05930747842 & 15.1651889757874 & -67.4163251147065 & 0.880700021215564 \tabularnewline
53 & 5477.8 & 5596.33966680453 & 15.4325196796444 & -126.711871516302 & 0.201215046466432 \tabularnewline
54 & 5907.75 & 5578.42706217893 & 15.1207460895127 & 340.282094090323 & -0.269269548250944 \tabularnewline
55 & 5072.55 & 5537.69167320297 & 14.678073088007 & -446.663665135267 & -0.453117988146202 \tabularnewline
56 & 5171 & 5471.1593814153 & 14.1319638594279 & -273.201464688987 & -0.660135978102913 \tabularnewline
57 & 5871.4 & 5483.03881775209 & 14.1192209584444 & 389.110101857283 & -0.0183199368988447 \tabularnewline
58 & 5812.45 & 5605.57993775824 & 14.6014654867949 & 170.796775406088 & 0.881564668744379 \tabularnewline
59 & 5692.2 & 5731.59648208489 & 14.9279689053617 & -76.4882251293949 & 0.905680995519222 \tabularnewline
60 & 5838.1 & 5739.66408436439 & 14.9180018829484 & 100.722381774401 & -0.0558038597768914 \tabularnewline
61 & 5438.2 & 5810.99713090046 & 14.9904536139322 & -391.587327937295 & 0.458579884945086 \tabularnewline
62 & 6041.05 & 5900.87616923928 & 15.2833265077115 & 115.480352598995 & 0.603561330866389 \tabularnewline
63 & 6335.6 & 5942.1901679339 & 15.4690952573691 & 384.9360302062 & 0.207891019055026 \tabularnewline
64 & 5891.8 & 5964.0211513379 & 15.5264511990158 & -74.2841921595976 & 0.0507658417785658 \tabularnewline
65 & 5909.65 & 5996.15488248591 & 15.6804569769778 & -91.9174483737101 & 0.133251286878745 \tabularnewline
66 & 6449.75 & 6043.27194116557 & 15.9482213732282 & 396.155917839595 & 0.253817726464503 \tabularnewline
67 & 5312.25 & 5906.40895805465 & 14.8176214317242 & -543.691789400396 & -1.23904282742463 \tabularnewline
68 & 5828.1 & 5996.00007486788 & 15.2856069290574 & -192.680134224754 & 0.607566808952123 \tabularnewline
69 & 6466.15 & 6074.95226535746 & 15.6130043845439 & 370.062204738641 & 0.517640310579802 \tabularnewline
70 & 6328.35 & 6149.62266689437 & 15.8473845355546 & 159.107225936929 & 0.480087207824294 \tabularnewline
71 & 6131.8 & 6194.96938651419 & 15.9288561771444 & -72.9741274719286 & 0.239751407075819 \tabularnewline
72 & 6734.2 & 6429.01760611375 & 16.3406851354065 & 232.665433564951 & 1.77263088560312 \tabularnewline
73 & 6037.25 & 6478.24159036594 & 16.4098162652906 & -451.904601299326 & 0.266784207104818 \tabularnewline
74 & 6412.4 & 6413.05679801678 & 16.0919376654949 & 26.2318112869466 & -0.658120001005827 \tabularnewline
75 & 6785.55 & 6410.82431357492 & 15.9789231730431 & 380.712588692828 & -0.146904494627085 \tabularnewline
76 & 6386 & 6443.38063288098 & 16.1067220618182 & -62.7783907760623 & 0.132750525368574 \tabularnewline
77 & 6045.25 & 6306.56029841746 & 14.8616347532709 & -211.374623973976 & -1.22898468744874 \tabularnewline
78 & 6597.25 & 6224.65256106667 & 14.1149132841359 & 404.368994936721 & -0.781442890644467 \tabularnewline
79 & 5355.9 & 6087.75123059199 & 13.0809262235276 & -682.02499328622 & -1.22404891108688 \tabularnewline
80 & 5773.35 & 6038.47799904142 & 12.7178648510528 & -244.488100681815 & -0.506433825995578 \tabularnewline
81 & 6539.6 & 6116.18102748199 & 13.0271732323793 & 401.870968360776 & 0.528165915729568 \tabularnewline
82 & 6149.2 & 6088.78240128211 & 12.87772550747 & 73.8324702931465 & -0.328543254934503 \tabularnewline
83 & 6373.45 & 6301.5510207201 & 13.4268471724589 & 5.54625631367608 & 1.6241413603155 \tabularnewline
84 & 6504.7 & 6316.2883737236 & 13.4297513658907 & 187.976705824195 & 0.0106431077379106 \tabularnewline
85 & 5451.25 & 6112.73658691686 & 12.8796112026791 & -589.624304729987 & -1.75885551174328 \tabularnewline
86 & 6119.9 & 6082.7147955071 & 12.7147545150028 & 51.3199218185147 & -0.346286237045677 \tabularnewline
87 & 6954.95 & 6308.19136048735 & 13.8856795707322 & 577.081447312479 & 1.71010251772137 \tabularnewline
88 & 6139.7 & 6248.34070339927 & 13.388342334798 & -84.559515308413 & -0.592050789134255 \tabularnewline
89 & 6383.25 & 6383.0210427246 & 14.263425699004 & -39.4477811473235 & 0.976192965247351 \tabularnewline
90 & 6643.7 & 6303.39002556043 & 13.6074838031985 & 371.148190833887 & -0.758489158054577 \tabularnewline
91 & 5547.75 & 6258.99873786503 & 13.2414304416383 & -692.122642351432 & -0.469995565502061 \tabularnewline
92 & 5974 & 6254.55244252698 & 13.1455197880509 & -274.702622685627 & -0.143601244323231 \tabularnewline
93 & 6583.6 & 6228.52153186772 & 12.9706482656003 & 368.056682558272 & -0.318290900919319 \tabularnewline
94 & 6571.55 & 6391.78805242224 & 13.5022165281488 & 129.9344900159 & 1.22113213909806 \tabularnewline
95 & 5736.5 & 6091.59913828659 & 12.627987531834 & -251.079275927365 & -2.54805205024712 \tabularnewline
96 & 6027.2 & 5907.38778167159 & 12.1455755001689 & 185.053147557893 & -1.59784539104964 \tabularnewline
97 & 5302.65 & 5889.13008536214 & 12.0612413314968 & -576.423071667392 & -0.24635848228342 \tabularnewline
98 & 5825.85 & 5875.09535257063 & 11.9630136782036 & -40.6473590537182 & -0.210782887948988 \tabularnewline
99 & 5910.6 & 5612.98192869299 & 10.5886515781999 & 387.525097107652 & -2.20705687976886 \tabularnewline
100 & 5733.65 & 5703.94536641979 & 11.0716324260475 & 3.39643311404537 & 0.646670713239752 \tabularnewline
101 & 5914.3 & 5813.24671945288 & 11.7056684216518 & 68.8699264768651 & 0.791607078858889 \tabularnewline
102 & 6128.25 & 5791.29654751094 & 11.4922944448604 & 348.013080531613 & -0.271991333278287 \tabularnewline
103 & 5680.5 & 6063.33138140088 & 13.0074375169122 & -468.729731364047 & 2.11107030163786 \tabularnewline
104 & 5926.3 & 6156.76223885323 & 13.4144414524896 & -257.044364048248 & 0.652723851295108 \tabularnewline
105 & 6270.5 & 6061.17210465215 & 12.9539877238123 & 245.412216951719 & -0.885327772614395 \tabularnewline
106 & 6263 & 6019.52139370575 & 12.7665165811915 & 261.56786894719 & -0.443538965688458 \tabularnewline
107 & 6064.55 & 6118.74044690798 & 13.0117157980872 & -82.8341524756075 & 0.702051652093926 \tabularnewline
108 & 5706.6 & 5842.51349221403 & 12.2559602815468 & -40.1373233891045 & -2.34714638675232 \tabularnewline
109 & 5365 & 5846.72779832114 & 12.2326071085131 & -479.069676487744 & -0.0651541763208782 \tabularnewline
110 & 5884.2 & 5841.99972811402 & 12.1703348935761 & 47.7892377735399 & -0.137080543246946 \tabularnewline
111 & 6504.4 & 5997.70368492375 & 12.8354363093732 & 459.552597718846 & 1.15747535673666 \tabularnewline
112 & 6174.3 & 6121.80782655947 & 13.4397516168652 & 16.008658392641 & 0.896655848532384 \tabularnewline
113 & 6123.65 & 6118.48196263338 & 13.3420396362815 & 10.668447473526 & -0.135259493308491 \tabularnewline
114 & 6698.95 & 6286.00819707715 & 14.2329121752961 & 362.245058661489 & 1.24660646533866 \tabularnewline
115 & 5256.55 & 6054.60344933819 & 12.9142982605215 & -717.072581259234 & -1.99024746649263 \tabularnewline
116 & 5838.2 & 6032.96053996571 & 12.7506119389609 & -183.343125231304 & -0.28040197863636 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=302759&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]3949.9[/C][C]3949.9[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]4010.65[/C][C]3989.55995143202[/C][C]2.26291341825327[/C][C]11.5261480512296[/C][C]0.232752924877121[/C][/ROW]
[ROW][C]3[/C][C]4381.8[/C][C]4212.5418835324[/C][C]14.1301637322144[/C][C]108.175588914905[/C][C]1.49736844453643[/C][/ROW]
[ROW][C]4[/C][C]4238.25[/C][C]4245.2537756054[/C][C]14.7492223922719[/C][C]-13.3339710266439[/C][C]0.144713438862541[/C][/ROW]
[ROW][C]5[/C][C]4178.1[/C][C]4211.98342285423[/C][C]13.7456229028628[/C][C]-16.5741681853952[/C][C]-0.386819796908024[/C][/ROW]
[ROW][C]6[/C][C]4702.25[/C][C]4459.67490481622[/C][C]17.4690055880327[/C][C]157.147566849885[/C][C]1.89745527766913[/C][/ROW]
[ROW][C]7[/C][C]3944.1[/C][C]4219.66740394807[/C][C]13.7836617983256[/C][C]-181.275090604908[/C][C]-2.09103514156236[/C][/ROW]
[ROW][C]8[/C][C]4208.5[/C][C]4182.9902987426[/C][C]13.085072738974[/C][C]43.9992110099102[/C][C]-0.409871993899846[/C][/ROW]
[ROW][C]9[/C][C]4743.45[/C][C]4466.82034630368[/C][C]16.7820872915166[/C][C]177.418223016078[/C][C]2.19909312360466[/C][/ROW]
[ROW][C]10[/C][C]4948.25[/C][C]4747.5634018223[/C][C]20.3461039953897[/C][C]103.956742778015[/C][C]2.14395746251415[/C][/ROW]
[ROW][C]11[/C][C]4735.45[/C][C]4771.75436435774[/C][C]20.3973965980849[/C][C]-37.7134502710687[/C][C]0.0312292835378795[/C][/ROW]
[ROW][C]12[/C][C]4843.15[/C][C]4808.45734076231[/C][C]20.6121770159591[/C][C]28.7162537686249[/C][C]0.132443147851344[/C][/ROW]
[ROW][C]13[/C][C]4757.75[/C][C]4872.55355545191[/C][C]18.3539935396369[/C][C]-131.46662032885[/C][C]0.412064352042109[/C][/ROW]
[ROW][C]14[/C][C]5227.15[/C][C]5110.33834621618[/C][C]21.1740228859535[/C][C]46.3533639307106[/C][C]1.68086302959989[/C][/ROW]
[ROW][C]15[/C][C]5739.65[/C][C]5415.88948189146[/C][C]28.8044195669044[/C][C]238.966413244067[/C][C]2.09957112242675[/C][/ROW]
[ROW][C]16[/C][C]4981.45[/C][C]5250.28592974277[/C][C]24.3774249799183[/C][C]-206.887628403946[/C][C]-1.51493376319095[/C][/ROW]
[ROW][C]17[/C][C]5020.05[/C][C]5164.97388193011[/C][C]22.6170589267886[/C][C]-108.402592399621[/C][C]-0.880650388460327[/C][/ROW]
[ROW][C]18[/C][C]5149.15[/C][C]5029.62611088443[/C][C]20.7784051780242[/C][C]172.954263830488[/C][C]-1.28022297875487[/C][/ROW]
[ROW][C]19[/C][C]4513.35[/C][C]4848.1006318805[/C][C]18.8329489945259[/C][C]-266.004691903793[/C][C]-1.64348169938508[/C][/ROW]
[ROW][C]20[/C][C]4762.55[/C][C]4811.70778263075[/C][C]18.3378092567684[/C][C]-30.3709838182269[/C][C]-0.448848413961282[/C][/ROW]
[ROW][C]21[/C][C]4990.45[/C][C]4852.07628776165[/C][C]18.5336170910032[/C][C]130.878738207273[/C][C]0.179060860166196[/C][/ROW]
[ROW][C]22[/C][C]4963.35[/C][C]4865.8911719971[/C][C]18.4921538440005[/C][C]99.0643157069494[/C][C]-0.0383539853749394[/C][/ROW]
[ROW][C]23[/C][C]5010[/C][C]4964.05416617951[/C][C]19.0981374946053[/C][C]18.8159853868843[/C][C]0.64743203769268[/C][/ROW]
[ROW][C]24[/C][C]4983.3[/C][C]4994.64067715643[/C][C]19.1258511099714[/C][C]-15.2670125040001[/C][C]0.0934691026364464[/C][/ROW]
[ROW][C]25[/C][C]4924.7[/C][C]5088.79215761886[/C][C]18.0555974008185[/C][C]-190.466662890831[/C][C]0.637840450874282[/C][/ROW]
[ROW][C]26[/C][C]5175.25[/C][C]5172.84359089706[/C][C]18.4073793664355[/C][C]-19.4040173316842[/C][C]0.526654116092731[/C][/ROW]
[ROW][C]27[/C][C]5470.3[/C][C]5180.6029574154[/C][C]18.2322431244822[/C][C]293.023638206394[/C][C]-0.0819211995960449[/C][/ROW]
[ROW][C]28[/C][C]4969.4[/C][C]5163.81932548804[/C][C]17.6270635114734[/C][C]-183.29796062096[/C][C]-0.274424962813928[/C][/ROW]
[ROW][C]29[/C][C]5020.5[/C][C]5116.89277770966[/C][C]16.7179393866413[/C][C]-75.3048025912684[/C][C]-0.516913471217326[/C][/ROW]
[ROW][C]30[/C][C]5519.2[/C][C]5187.22371212556[/C][C]17.2981564563034[/C][C]314.187965533172[/C][C]0.43379113827747[/C][/ROW]
[ROW][C]31[/C][C]4510.75[/C][C]4997.95957178102[/C][C]15.4861092285957[/C][C]-418.24427649839[/C][C]-1.67753564511461[/C][/ROW]
[ROW][C]32[/C][C]4934.45[/C][C]4970.62534065668[/C][C]15.1517863004974[/C][C]-21.8479115725172[/C][C]-0.348150208105522[/C][/ROW]
[ROW][C]33[/C][C]5430.65[/C][C]5129.34612378422[/C][C]16.2079027801671[/C][C]253.232627948847[/C][C]1.16760753812441[/C][/ROW]
[ROW][C]34[/C][C]5254.7[/C][C]5181.58664511051[/C][C]16.4483888689899[/C][C]61.0430420426029[/C][C]0.292996058202606[/C][/ROW]
[ROW][C]35[/C][C]4897.8[/C][C]5058.842924711[/C][C]15.7819948785438[/C][C]-114.372565425895[/C][C]-1.13132608427817[/C][/ROW]
[ROW][C]36[/C][C]5305.7[/C][C]5192.47276813367[/C][C]15.8683874502862[/C][C]73.5776250105089[/C][C]0.960107857347363[/C][/ROW]
[ROW][C]37[/C][C]5055.7[/C][C]5248.18609489726[/C][C]15.7022431708226[/C][C]-206.039566936675[/C][C]0.328787005457303[/C][/ROW]
[ROW][C]38[/C][C]5409[/C][C]5342.40736594289[/C][C]16.0195031290625[/C][C]40.6262309450072[/C][C]0.63112242154693[/C][/ROW]
[ROW][C]39[/C][C]5683[/C][C]5374.71355667319[/C][C]16.2045876810492[/C][C]303.077960235777[/C][C]0.127903178615639[/C][/ROW]
[ROW][C]40[/C][C]5125.55[/C][C]5343.80249143924[/C][C]15.5698312606822[/C][C]-203.172350604841[/C][C]-0.371915333368276[/C][/ROW]
[ROW][C]41[/C][C]4965.2[/C][C]5203.61170416253[/C][C]13.6594419260773[/C][C]-187.741608117238[/C][C]-1.24673044239229[/C][/ROW]
[ROW][C]42[/C][C]5373.3[/C][C]5086.54213923094[/C][C]12.33373170779[/C][C]329.840424231882[/C][C]-1.05637454246391[/C][/ROW]
[ROW][C]43[/C][C]4556.1[/C][C]5024.71840166162[/C][C]11.7126272216903[/C][C]-444.012151520373[/C][C]-0.601920724661663[/C][/ROW]
[ROW][C]44[/C][C]4714.25[/C][C]4913.50042956455[/C][C]10.8251900241861[/C][C]-158.337146259973[/C][C]-0.999520249070389[/C][/ROW]
[ROW][C]45[/C][C]5513.85[/C][C]5068.44622700699[/C][C]11.7427810723088[/C][C]397.377015567185[/C][C]1.17231614516555[/C][/ROW]
[ROW][C]46[/C][C]5258.45[/C][C]5129.94333748016[/C][C]12.0057428427935[/C][C]111.916244837202[/C][C]0.404594846795854[/C][/ROW]
[ROW][C]47[/C][C]5111.4[/C][C]5213.82236119059[/C][C]12.2547571958697[/C][C]-126.406753791015[/C][C]0.584263951505897[/C][/ROW]
[ROW][C]48[/C][C]5422.25[/C][C]5305.08030321132[/C][C]12.3302380616578[/C][C]90.7457215545501[/C][C]0.643285856740536[/C][/ROW]
[ROW][C]49[/C][C]4753.3[/C][C]5173.89866680739[/C][C]12.3850972211676[/C][C]-372.471519144478[/C][C]-1.17165455896197[/C][/ROW]
[ROW][C]50[/C][C]5455.5[/C][C]5277.81192356902[/C][C]12.7420709998563[/C][C]147.47177573907[/C][C]0.736998549737319[/C][/ROW]
[ROW][C]51[/C][C]5909.15[/C][C]5431.20795867616[/C][C]13.9626897425685[/C][C]432.436819859274[/C][C]1.11649190700057[/C][/ROW]
[ROW][C]52[/C][C]5524.4[/C][C]5556.05930747842[/C][C]15.1651889757874[/C][C]-67.4163251147065[/C][C]0.880700021215564[/C][/ROW]
[ROW][C]53[/C][C]5477.8[/C][C]5596.33966680453[/C][C]15.4325196796444[/C][C]-126.711871516302[/C][C]0.201215046466432[/C][/ROW]
[ROW][C]54[/C][C]5907.75[/C][C]5578.42706217893[/C][C]15.1207460895127[/C][C]340.282094090323[/C][C]-0.269269548250944[/C][/ROW]
[ROW][C]55[/C][C]5072.55[/C][C]5537.69167320297[/C][C]14.678073088007[/C][C]-446.663665135267[/C][C]-0.453117988146202[/C][/ROW]
[ROW][C]56[/C][C]5171[/C][C]5471.1593814153[/C][C]14.1319638594279[/C][C]-273.201464688987[/C][C]-0.660135978102913[/C][/ROW]
[ROW][C]57[/C][C]5871.4[/C][C]5483.03881775209[/C][C]14.1192209584444[/C][C]389.110101857283[/C][C]-0.0183199368988447[/C][/ROW]
[ROW][C]58[/C][C]5812.45[/C][C]5605.57993775824[/C][C]14.6014654867949[/C][C]170.796775406088[/C][C]0.881564668744379[/C][/ROW]
[ROW][C]59[/C][C]5692.2[/C][C]5731.59648208489[/C][C]14.9279689053617[/C][C]-76.4882251293949[/C][C]0.905680995519222[/C][/ROW]
[ROW][C]60[/C][C]5838.1[/C][C]5739.66408436439[/C][C]14.9180018829484[/C][C]100.722381774401[/C][C]-0.0558038597768914[/C][/ROW]
[ROW][C]61[/C][C]5438.2[/C][C]5810.99713090046[/C][C]14.9904536139322[/C][C]-391.587327937295[/C][C]0.458579884945086[/C][/ROW]
[ROW][C]62[/C][C]6041.05[/C][C]5900.87616923928[/C][C]15.2833265077115[/C][C]115.480352598995[/C][C]0.603561330866389[/C][/ROW]
[ROW][C]63[/C][C]6335.6[/C][C]5942.1901679339[/C][C]15.4690952573691[/C][C]384.9360302062[/C][C]0.207891019055026[/C][/ROW]
[ROW][C]64[/C][C]5891.8[/C][C]5964.0211513379[/C][C]15.5264511990158[/C][C]-74.2841921595976[/C][C]0.0507658417785658[/C][/ROW]
[ROW][C]65[/C][C]5909.65[/C][C]5996.15488248591[/C][C]15.6804569769778[/C][C]-91.9174483737101[/C][C]0.133251286878745[/C][/ROW]
[ROW][C]66[/C][C]6449.75[/C][C]6043.27194116557[/C][C]15.9482213732282[/C][C]396.155917839595[/C][C]0.253817726464503[/C][/ROW]
[ROW][C]67[/C][C]5312.25[/C][C]5906.40895805465[/C][C]14.8176214317242[/C][C]-543.691789400396[/C][C]-1.23904282742463[/C][/ROW]
[ROW][C]68[/C][C]5828.1[/C][C]5996.00007486788[/C][C]15.2856069290574[/C][C]-192.680134224754[/C][C]0.607566808952123[/C][/ROW]
[ROW][C]69[/C][C]6466.15[/C][C]6074.95226535746[/C][C]15.6130043845439[/C][C]370.062204738641[/C][C]0.517640310579802[/C][/ROW]
[ROW][C]70[/C][C]6328.35[/C][C]6149.62266689437[/C][C]15.8473845355546[/C][C]159.107225936929[/C][C]0.480087207824294[/C][/ROW]
[ROW][C]71[/C][C]6131.8[/C][C]6194.96938651419[/C][C]15.9288561771444[/C][C]-72.9741274719286[/C][C]0.239751407075819[/C][/ROW]
[ROW][C]72[/C][C]6734.2[/C][C]6429.01760611375[/C][C]16.3406851354065[/C][C]232.665433564951[/C][C]1.77263088560312[/C][/ROW]
[ROW][C]73[/C][C]6037.25[/C][C]6478.24159036594[/C][C]16.4098162652906[/C][C]-451.904601299326[/C][C]0.266784207104818[/C][/ROW]
[ROW][C]74[/C][C]6412.4[/C][C]6413.05679801678[/C][C]16.0919376654949[/C][C]26.2318112869466[/C][C]-0.658120001005827[/C][/ROW]
[ROW][C]75[/C][C]6785.55[/C][C]6410.82431357492[/C][C]15.9789231730431[/C][C]380.712588692828[/C][C]-0.146904494627085[/C][/ROW]
[ROW][C]76[/C][C]6386[/C][C]6443.38063288098[/C][C]16.1067220618182[/C][C]-62.7783907760623[/C][C]0.132750525368574[/C][/ROW]
[ROW][C]77[/C][C]6045.25[/C][C]6306.56029841746[/C][C]14.8616347532709[/C][C]-211.374623973976[/C][C]-1.22898468744874[/C][/ROW]
[ROW][C]78[/C][C]6597.25[/C][C]6224.65256106667[/C][C]14.1149132841359[/C][C]404.368994936721[/C][C]-0.781442890644467[/C][/ROW]
[ROW][C]79[/C][C]5355.9[/C][C]6087.75123059199[/C][C]13.0809262235276[/C][C]-682.02499328622[/C][C]-1.22404891108688[/C][/ROW]
[ROW][C]80[/C][C]5773.35[/C][C]6038.47799904142[/C][C]12.7178648510528[/C][C]-244.488100681815[/C][C]-0.506433825995578[/C][/ROW]
[ROW][C]81[/C][C]6539.6[/C][C]6116.18102748199[/C][C]13.0271732323793[/C][C]401.870968360776[/C][C]0.528165915729568[/C][/ROW]
[ROW][C]82[/C][C]6149.2[/C][C]6088.78240128211[/C][C]12.87772550747[/C][C]73.8324702931465[/C][C]-0.328543254934503[/C][/ROW]
[ROW][C]83[/C][C]6373.45[/C][C]6301.5510207201[/C][C]13.4268471724589[/C][C]5.54625631367608[/C][C]1.6241413603155[/C][/ROW]
[ROW][C]84[/C][C]6504.7[/C][C]6316.2883737236[/C][C]13.4297513658907[/C][C]187.976705824195[/C][C]0.0106431077379106[/C][/ROW]
[ROW][C]85[/C][C]5451.25[/C][C]6112.73658691686[/C][C]12.8796112026791[/C][C]-589.624304729987[/C][C]-1.75885551174328[/C][/ROW]
[ROW][C]86[/C][C]6119.9[/C][C]6082.7147955071[/C][C]12.7147545150028[/C][C]51.3199218185147[/C][C]-0.346286237045677[/C][/ROW]
[ROW][C]87[/C][C]6954.95[/C][C]6308.19136048735[/C][C]13.8856795707322[/C][C]577.081447312479[/C][C]1.71010251772137[/C][/ROW]
[ROW][C]88[/C][C]6139.7[/C][C]6248.34070339927[/C][C]13.388342334798[/C][C]-84.559515308413[/C][C]-0.592050789134255[/C][/ROW]
[ROW][C]89[/C][C]6383.25[/C][C]6383.0210427246[/C][C]14.263425699004[/C][C]-39.4477811473235[/C][C]0.976192965247351[/C][/ROW]
[ROW][C]90[/C][C]6643.7[/C][C]6303.39002556043[/C][C]13.6074838031985[/C][C]371.148190833887[/C][C]-0.758489158054577[/C][/ROW]
[ROW][C]91[/C][C]5547.75[/C][C]6258.99873786503[/C][C]13.2414304416383[/C][C]-692.122642351432[/C][C]-0.469995565502061[/C][/ROW]
[ROW][C]92[/C][C]5974[/C][C]6254.55244252698[/C][C]13.1455197880509[/C][C]-274.702622685627[/C][C]-0.143601244323231[/C][/ROW]
[ROW][C]93[/C][C]6583.6[/C][C]6228.52153186772[/C][C]12.9706482656003[/C][C]368.056682558272[/C][C]-0.318290900919319[/C][/ROW]
[ROW][C]94[/C][C]6571.55[/C][C]6391.78805242224[/C][C]13.5022165281488[/C][C]129.9344900159[/C][C]1.22113213909806[/C][/ROW]
[ROW][C]95[/C][C]5736.5[/C][C]6091.59913828659[/C][C]12.627987531834[/C][C]-251.079275927365[/C][C]-2.54805205024712[/C][/ROW]
[ROW][C]96[/C][C]6027.2[/C][C]5907.38778167159[/C][C]12.1455755001689[/C][C]185.053147557893[/C][C]-1.59784539104964[/C][/ROW]
[ROW][C]97[/C][C]5302.65[/C][C]5889.13008536214[/C][C]12.0612413314968[/C][C]-576.423071667392[/C][C]-0.24635848228342[/C][/ROW]
[ROW][C]98[/C][C]5825.85[/C][C]5875.09535257063[/C][C]11.9630136782036[/C][C]-40.6473590537182[/C][C]-0.210782887948988[/C][/ROW]
[ROW][C]99[/C][C]5910.6[/C][C]5612.98192869299[/C][C]10.5886515781999[/C][C]387.525097107652[/C][C]-2.20705687976886[/C][/ROW]
[ROW][C]100[/C][C]5733.65[/C][C]5703.94536641979[/C][C]11.0716324260475[/C][C]3.39643311404537[/C][C]0.646670713239752[/C][/ROW]
[ROW][C]101[/C][C]5914.3[/C][C]5813.24671945288[/C][C]11.7056684216518[/C][C]68.8699264768651[/C][C]0.791607078858889[/C][/ROW]
[ROW][C]102[/C][C]6128.25[/C][C]5791.29654751094[/C][C]11.4922944448604[/C][C]348.013080531613[/C][C]-0.271991333278287[/C][/ROW]
[ROW][C]103[/C][C]5680.5[/C][C]6063.33138140088[/C][C]13.0074375169122[/C][C]-468.729731364047[/C][C]2.11107030163786[/C][/ROW]
[ROW][C]104[/C][C]5926.3[/C][C]6156.76223885323[/C][C]13.4144414524896[/C][C]-257.044364048248[/C][C]0.652723851295108[/C][/ROW]
[ROW][C]105[/C][C]6270.5[/C][C]6061.17210465215[/C][C]12.9539877238123[/C][C]245.412216951719[/C][C]-0.885327772614395[/C][/ROW]
[ROW][C]106[/C][C]6263[/C][C]6019.52139370575[/C][C]12.7665165811915[/C][C]261.56786894719[/C][C]-0.443538965688458[/C][/ROW]
[ROW][C]107[/C][C]6064.55[/C][C]6118.74044690798[/C][C]13.0117157980872[/C][C]-82.8341524756075[/C][C]0.702051652093926[/C][/ROW]
[ROW][C]108[/C][C]5706.6[/C][C]5842.51349221403[/C][C]12.2559602815468[/C][C]-40.1373233891045[/C][C]-2.34714638675232[/C][/ROW]
[ROW][C]109[/C][C]5365[/C][C]5846.72779832114[/C][C]12.2326071085131[/C][C]-479.069676487744[/C][C]-0.0651541763208782[/C][/ROW]
[ROW][C]110[/C][C]5884.2[/C][C]5841.99972811402[/C][C]12.1703348935761[/C][C]47.7892377735399[/C][C]-0.137080543246946[/C][/ROW]
[ROW][C]111[/C][C]6504.4[/C][C]5997.70368492375[/C][C]12.8354363093732[/C][C]459.552597718846[/C][C]1.15747535673666[/C][/ROW]
[ROW][C]112[/C][C]6174.3[/C][C]6121.80782655947[/C][C]13.4397516168652[/C][C]16.008658392641[/C][C]0.896655848532384[/C][/ROW]
[ROW][C]113[/C][C]6123.65[/C][C]6118.48196263338[/C][C]13.3420396362815[/C][C]10.668447473526[/C][C]-0.135259493308491[/C][/ROW]
[ROW][C]114[/C][C]6698.95[/C][C]6286.00819707715[/C][C]14.2329121752961[/C][C]362.245058661489[/C][C]1.24660646533866[/C][/ROW]
[ROW][C]115[/C][C]5256.55[/C][C]6054.60344933819[/C][C]12.9142982605215[/C][C]-717.072581259234[/C][C]-1.99024746649263[/C][/ROW]
[ROW][C]116[/C][C]5838.2[/C][C]6032.96053996571[/C][C]12.7506119389609[/C][C]-183.343125231304[/C][C]-0.28040197863636[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=302759&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=302759&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
13949.93949.9000
24010.653989.559951432022.2629134182532711.52614805122960.232752924877121
34381.84212.541883532414.1301637322144108.1755889149051.49736844453643
44238.254245.253775605414.7492223922719-13.33397102664390.144713438862541
54178.14211.9834228542313.7456229028628-16.5741681853952-0.386819796908024
64702.254459.6749048162217.4690055880327157.1475668498851.89745527766913
73944.14219.6674039480713.7836617983256-181.275090604908-2.09103514156236
84208.54182.990298742613.08507273897443.9992110099102-0.409871993899846
94743.454466.8203463036816.7820872915166177.4182230160782.19909312360466
104948.254747.563401822320.3461039953897103.9567427780152.14395746251415
114735.454771.7543643577420.3973965980849-37.71345027106870.0312292835378795
124843.154808.4573407623120.612177015959128.71625376862490.132443147851344
134757.754872.5535554519118.3539935396369-131.466620328850.412064352042109
145227.155110.3383462161821.174022885953546.35336393071061.68086302959989
155739.655415.8894818914628.8044195669044238.9664132440672.09957112242675
164981.455250.2859297427724.3774249799183-206.887628403946-1.51493376319095
175020.055164.9738819301122.6170589267886-108.402592399621-0.880650388460327
185149.155029.6261108844320.7784051780242172.954263830488-1.28022297875487
194513.354848.100631880518.8329489945259-266.004691903793-1.64348169938508
204762.554811.7077826307518.3378092567684-30.3709838182269-0.448848413961282
214990.454852.0762877616518.5336170910032130.8787382072730.179060860166196
224963.354865.891171997118.492153844000599.0643157069494-0.0383539853749394
2350104964.0541661795119.098137494605318.81598538688430.64743203769268
244983.34994.6406771564319.1258511099714-15.26701250400010.0934691026364464
254924.75088.7921576188618.0555974008185-190.4666628908310.637840450874282
265175.255172.8435908970618.4073793664355-19.40401733168420.526654116092731
275470.35180.602957415418.2322431244822293.023638206394-0.0819211995960449
284969.45163.8193254880417.6270635114734-183.29796062096-0.274424962813928
295020.55116.8927777096616.7179393866413-75.3048025912684-0.516913471217326
305519.25187.2237121255617.2981564563034314.1879655331720.43379113827747
314510.754997.9595717810215.4861092285957-418.24427649839-1.67753564511461
324934.454970.6253406566815.1517863004974-21.8479115725172-0.348150208105522
335430.655129.3461237842216.2079027801671253.2326279488471.16760753812441
345254.75181.5866451105116.448388868989961.04304204260290.292996058202606
354897.85058.84292471115.7819948785438-114.372565425895-1.13132608427817
365305.75192.4727681336715.868387450286273.57762501050890.960107857347363
375055.75248.1860948972615.7022431708226-206.0395669366750.328787005457303
3854095342.4073659428916.019503129062540.62623094500720.63112242154693
3956835374.7135566731916.2045876810492303.0779602357770.127903178615639
405125.555343.8024914392415.5698312606822-203.172350604841-0.371915333368276
414965.25203.6117041625313.6594419260773-187.741608117238-1.24673044239229
425373.35086.5421392309412.33373170779329.840424231882-1.05637454246391
434556.15024.7184016616211.7126272216903-444.012151520373-0.601920724661663
444714.254913.5004295645510.8251900241861-158.337146259973-0.999520249070389
455513.855068.4462270069911.7427810723088397.3770155671851.17231614516555
465258.455129.9433374801612.0057428427935111.9162448372020.404594846795854
475111.45213.8223611905912.2547571958697-126.4067537910150.584263951505897
485422.255305.0803032113212.330238061657890.74572155455010.643285856740536
494753.35173.8986668073912.3850972211676-372.471519144478-1.17165455896197
505455.55277.8119235690212.7420709998563147.471775739070.736998549737319
515909.155431.2079586761613.9626897425685432.4368198592741.11649190700057
525524.45556.0593074784215.1651889757874-67.41632511470650.880700021215564
535477.85596.3396668045315.4325196796444-126.7118715163020.201215046466432
545907.755578.4270621789315.1207460895127340.282094090323-0.269269548250944
555072.555537.6916732029714.678073088007-446.663665135267-0.453117988146202
5651715471.159381415314.1319638594279-273.201464688987-0.660135978102913
575871.45483.0388177520914.1192209584444389.110101857283-0.0183199368988447
585812.455605.5799377582414.6014654867949170.7967754060880.881564668744379
595692.25731.5964820848914.9279689053617-76.48822512939490.905680995519222
605838.15739.6640843643914.9180018829484100.722381774401-0.0558038597768914
615438.25810.9971309004614.9904536139322-391.5873279372950.458579884945086
626041.055900.8761692392815.2833265077115115.4803525989950.603561330866389
636335.65942.190167933915.4690952573691384.93603020620.207891019055026
645891.85964.021151337915.5264511990158-74.28419215959760.0507658417785658
655909.655996.1548824859115.6804569769778-91.91744837371010.133251286878745
666449.756043.2719411655715.9482213732282396.1559178395950.253817726464503
675312.255906.4089580546514.8176214317242-543.691789400396-1.23904282742463
685828.15996.0000748678815.2856069290574-192.6801342247540.607566808952123
696466.156074.9522653574615.6130043845439370.0622047386410.517640310579802
706328.356149.6226668943715.8473845355546159.1072259369290.480087207824294
716131.86194.9693865141915.9288561771444-72.97412747192860.239751407075819
726734.26429.0176061137516.3406851354065232.6654335649511.77263088560312
736037.256478.2415903659416.4098162652906-451.9046012993260.266784207104818
746412.46413.0567980167816.091937665494926.2318112869466-0.658120001005827
756785.556410.8243135749215.9789231730431380.712588692828-0.146904494627085
7663866443.3806328809816.1067220618182-62.77839077606230.132750525368574
776045.256306.5602984174614.8616347532709-211.374623973976-1.22898468744874
786597.256224.6525610666714.1149132841359404.368994936721-0.781442890644467
795355.96087.7512305919913.0809262235276-682.02499328622-1.22404891108688
805773.356038.4779990414212.7178648510528-244.488100681815-0.506433825995578
816539.66116.1810274819913.0271732323793401.8709683607760.528165915729568
826149.26088.7824012821112.8777255074773.8324702931465-0.328543254934503
836373.456301.551020720113.42684717245895.546256313676081.6241413603155
846504.76316.288373723613.4297513658907187.9767058241950.0106431077379106
855451.256112.7365869168612.8796112026791-589.624304729987-1.75885551174328
866119.96082.714795507112.714754515002851.3199218185147-0.346286237045677
876954.956308.1913604873513.8856795707322577.0814473124791.71010251772137
886139.76248.3407033992713.388342334798-84.559515308413-0.592050789134255
896383.256383.021042724614.263425699004-39.44778114732350.976192965247351
906643.76303.3900255604313.6074838031985371.148190833887-0.758489158054577
915547.756258.9987378650313.2414304416383-692.122642351432-0.469995565502061
9259746254.5524425269813.1455197880509-274.702622685627-0.143601244323231
936583.66228.5215318677212.9706482656003368.056682558272-0.318290900919319
946571.556391.7880524222413.5022165281488129.93449001591.22113213909806
955736.56091.5991382865912.627987531834-251.079275927365-2.54805205024712
966027.25907.3877816715912.1455755001689185.053147557893-1.59784539104964
975302.655889.1300853621412.0612413314968-576.423071667392-0.24635848228342
985825.855875.0953525706311.9630136782036-40.6473590537182-0.210782887948988
995910.65612.9819286929910.5886515781999387.525097107652-2.20705687976886
1005733.655703.9453664197911.07163242604753.396433114045370.646670713239752
1015914.35813.2467194528811.705668421651868.86992647686510.791607078858889
1026128.255791.2965475109411.4922944448604348.013080531613-0.271991333278287
1035680.56063.3313814008813.0074375169122-468.7297313640472.11107030163786
1045926.36156.7622388532313.4144414524896-257.0443640482480.652723851295108
1056270.56061.1721046521512.9539877238123245.412216951719-0.885327772614395
10662636019.5213937057512.7665165811915261.56786894719-0.443538965688458
1076064.556118.7404469079813.0117157980872-82.83415247560750.702051652093926
1085706.65842.5134922140312.2559602815468-40.1373233891045-2.34714638675232
10953655846.7277983211412.2326071085131-479.069676487744-0.0651541763208782
1105884.25841.9997281140212.170334893576147.7892377735399-0.137080543246946
1116504.45997.7036849237512.8354363093732459.5525977188461.15747535673666
1126174.36121.8078265594713.439751616865216.0086583926410.896655848532384
1136123.656118.4819626333813.342039636281510.668447473526-0.135259493308491
1146698.956286.0081970771514.2329121752961362.2450586614891.24660646533866
1155256.556054.6034493381912.9142982605215-717.072581259234-1.99024746649263
1165838.26032.9605399657112.7506119389609-183.343125231304-0.28040197863636







Structural Time Series Model -- Extrapolation
tObservedLevelSeasonal
16371.816802694446093.45206707903278.364735615408
26387.471793390496111.36803791823276.103755472266
36197.016324256716129.2840087574367.7323154992836
46038.812734657726147.19997959663-108.387244938909
55658.606479258456165.11595043583-506.50947117738
66144.955640943966183.03192127503-38.0762803310657
76636.614399795876200.94789211423435.666507681644
86270.080791783286218.8638629534351.2169288298488
96232.699458980926236.77983379263-4.08037481171169
106765.492658365926254.69580463183510.796853734097
115520.63597782956272.61177547103-751.975797641529
126079.675818378286290.52774631023-210.851927931951
136586.808452764836308.44371714943278.364735615408
146602.463443460896326.35968798863276.103755472266
156412.007974327116344.2756588278367.7323154992837
166253.804384728126362.19162966703-108.387244938909
175873.598129328856380.10760050623-506.50947117738
186359.947291014366398.02357134543-38.0762803310657

\begin{tabular}{lllllllll}
\hline
Structural Time Series Model -- Extrapolation \tabularnewline
t & Observed & Level & Seasonal \tabularnewline
1 & 6371.81680269444 & 6093.45206707903 & 278.364735615408 \tabularnewline
2 & 6387.47179339049 & 6111.36803791823 & 276.103755472266 \tabularnewline
3 & 6197.01632425671 & 6129.28400875743 & 67.7323154992836 \tabularnewline
4 & 6038.81273465772 & 6147.19997959663 & -108.387244938909 \tabularnewline
5 & 5658.60647925845 & 6165.11595043583 & -506.50947117738 \tabularnewline
6 & 6144.95564094396 & 6183.03192127503 & -38.0762803310657 \tabularnewline
7 & 6636.61439979587 & 6200.94789211423 & 435.666507681644 \tabularnewline
8 & 6270.08079178328 & 6218.86386295343 & 51.2169288298488 \tabularnewline
9 & 6232.69945898092 & 6236.77983379263 & -4.08037481171169 \tabularnewline
10 & 6765.49265836592 & 6254.69580463183 & 510.796853734097 \tabularnewline
11 & 5520.6359778295 & 6272.61177547103 & -751.975797641529 \tabularnewline
12 & 6079.67581837828 & 6290.52774631023 & -210.851927931951 \tabularnewline
13 & 6586.80845276483 & 6308.44371714943 & 278.364735615408 \tabularnewline
14 & 6602.46344346089 & 6326.35968798863 & 276.103755472266 \tabularnewline
15 & 6412.00797432711 & 6344.27565882783 & 67.7323154992837 \tabularnewline
16 & 6253.80438472812 & 6362.19162966703 & -108.387244938909 \tabularnewline
17 & 5873.59812932885 & 6380.10760050623 & -506.50947117738 \tabularnewline
18 & 6359.94729101436 & 6398.02357134543 & -38.0762803310657 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=302759&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]6371.81680269444[/C][C]6093.45206707903[/C][C]278.364735615408[/C][/ROW]
[ROW][C]2[/C][C]6387.47179339049[/C][C]6111.36803791823[/C][C]276.103755472266[/C][/ROW]
[ROW][C]3[/C][C]6197.01632425671[/C][C]6129.28400875743[/C][C]67.7323154992836[/C][/ROW]
[ROW][C]4[/C][C]6038.81273465772[/C][C]6147.19997959663[/C][C]-108.387244938909[/C][/ROW]
[ROW][C]5[/C][C]5658.60647925845[/C][C]6165.11595043583[/C][C]-506.50947117738[/C][/ROW]
[ROW][C]6[/C][C]6144.95564094396[/C][C]6183.03192127503[/C][C]-38.0762803310657[/C][/ROW]
[ROW][C]7[/C][C]6636.61439979587[/C][C]6200.94789211423[/C][C]435.666507681644[/C][/ROW]
[ROW][C]8[/C][C]6270.08079178328[/C][C]6218.86386295343[/C][C]51.2169288298488[/C][/ROW]
[ROW][C]9[/C][C]6232.69945898092[/C][C]6236.77983379263[/C][C]-4.08037481171169[/C][/ROW]
[ROW][C]10[/C][C]6765.49265836592[/C][C]6254.69580463183[/C][C]510.796853734097[/C][/ROW]
[ROW][C]11[/C][C]5520.6359778295[/C][C]6272.61177547103[/C][C]-751.975797641529[/C][/ROW]
[ROW][C]12[/C][C]6079.67581837828[/C][C]6290.52774631023[/C][C]-210.851927931951[/C][/ROW]
[ROW][C]13[/C][C]6586.80845276483[/C][C]6308.44371714943[/C][C]278.364735615408[/C][/ROW]
[ROW][C]14[/C][C]6602.46344346089[/C][C]6326.35968798863[/C][C]276.103755472266[/C][/ROW]
[ROW][C]15[/C][C]6412.00797432711[/C][C]6344.27565882783[/C][C]67.7323154992837[/C][/ROW]
[ROW][C]16[/C][C]6253.80438472812[/C][C]6362.19162966703[/C][C]-108.387244938909[/C][/ROW]
[ROW][C]17[/C][C]5873.59812932885[/C][C]6380.10760050623[/C][C]-506.50947117738[/C][/ROW]
[ROW][C]18[/C][C]6359.94729101436[/C][C]6398.02357134543[/C][C]-38.0762803310657[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=302759&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=302759&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
16371.816802694446093.45206707903278.364735615408
26387.471793390496111.36803791823276.103755472266
36197.016324256716129.2840087574367.7323154992836
46038.812734657726147.19997959663-108.387244938909
55658.606479258456165.11595043583-506.50947117738
66144.955640943966183.03192127503-38.0762803310657
76636.614399795876200.94789211423435.666507681644
86270.080791783286218.8638629534351.2169288298488
96232.699458980926236.77983379263-4.08037481171169
106765.492658365926254.69580463183510.796853734097
115520.63597782956272.61177547103-751.975797641529
126079.675818378286290.52774631023-210.851927931951
136586.808452764836308.44371714943278.364735615408
146602.463443460896326.35968798863276.103755472266
156412.007974327116344.2756588278367.7323154992837
166253.804384728126362.19162966703-108.387244938909
175873.598129328856380.10760050623-506.50947117738
186359.947291014366398.02357134543-38.0762803310657



Parameters (Session):
par1 = 12 ; par2 = 18 ; par3 = BFGS ;
Parameters (R input):
par1 = 12 ; par2 = 18 ; par3 = BFGS ;
R code (references can be found in the software module):
require('stsm')
require('stsm.class')
require('KFKSDS')
par1 <- as.numeric(par1)
par2 <- as.numeric(par2)
nx <- length(x)
x <- ts(x,frequency=par1)
m <- StructTS(x,type='BSM')
print(m$coef)
print(m$fitted)
print(m$resid)
mylevel <- as.numeric(m$fitted[,'level'])
myslope <- as.numeric(m$fitted[,'slope'])
myseas <- as.numeric(m$fitted[,'sea'])
myresid <- as.numeric(m$resid)
myfit <- mylevel+myseas
mm <- stsm.model(model = 'BSM', y = x, transPars = 'StructTS')
fit2 <- stsmFit(mm, stsm.method = 'maxlik.td.optim', method = par3, KF.args = list(P0cov = TRUE))
(fit2.comps <- tsSmooth(fit2, P0cov = FALSE)$states)
m2 <- set.pars(mm, pmax(fit2$par, .Machine$double.eps))
(ss <- char2numeric(m2))
(pred <- predict(ss, x, n.ahead = par2))
mylagmax <- nx/2
bitmap(file='test2.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(x),lag.max = mylagmax,main='Observed')
acf(mylevel,na.action=na.pass,lag.max = mylagmax,main='Level')
acf(myseas,na.action=na.pass,lag.max = mylagmax,main='Seasonal')
acf(myresid,na.action=na.pass,lag.max = mylagmax,main='Standardized Residals')
par(op)
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
spectrum(as.numeric(x),main='Observed')
spectrum(mylevel,main='Level')
spectrum(myseas,main='Seasonal')
spectrum(myresid,main='Standardized Residals')
par(op)
dev.off()
bitmap(file='test4.png')
op <- par(mfrow = c(2,2))
cpgram(as.numeric(x),main='Observed')
cpgram(mylevel,main='Level')
cpgram(myseas,main='Seasonal')
cpgram(myresid,main='Standardized Residals')
par(op)
dev.off()
bitmap(file='test1.png')
plot(as.numeric(m$resid),main='Standardized Residuals',ylab='Residuals',xlab='time',type='b')
grid()
dev.off()
bitmap(file='test5.png')
op <- par(mfrow = c(2,2))
hist(m$resid,main='Residual Histogram')
plot(density(m$resid),main='Residual Kernel Density')
qqnorm(m$resid,main='Residual Normal QQ Plot')
qqline(m$resid)
plot(m$resid^2, myfit^2,main='Sq.Resid vs. Sq.Fit',xlab='Squared residuals',ylab='Squared Fit')
par(op)
dev.off()
bitmap(file='test6.png')
par(mfrow = c(3,1), mar = c(3,3,3,3))
plot(cbind(x, pred$pred), type = 'n', plot.type = 'single', ylab = '')
lines(x)
polygon(c(time(pred$pred), rev(time(pred$pred))), c(pred$pred + 2 * pred$se, rev(pred$pred)), col = 'gray85', border = NA)
polygon(c(time(pred$pred), rev(time(pred$pred))), c(pred$pred - 2 * pred$se, rev(pred$pred)), col = ' gray85', border = NA)
lines(pred$pred, col = 'blue', lwd = 1.5)
mtext(text = 'forecasts of the observed series', side = 3, adj = 0)
plot(cbind(x, pred$a[,1]), type = 'n', plot.type = 'single', ylab = '')
lines(x)
polygon(c(time(pred$a[,1]), rev(time(pred$a[,1]))), c(pred$a[,1] + 2 * sqrt(pred$P[,1]), rev(pred$a[,1])), col = 'gray85', border = NA)
polygon(c(time(pred$a[,1]), rev(time(pred$a[,1]))), c(pred$a[,1] - 2 * sqrt(pred$P[,1]), rev(pred$a[,1])), col = ' gray85', border = NA)
lines(pred$a[,1], col = 'blue', lwd = 1.5)
mtext(text = 'forecasts of the level component', side = 3, adj = 0)
plot(cbind(fit2.comps[,3], pred$a[,3]), type = 'n', plot.type = 'single', ylab = '')
lines(fit2.comps[,3])
polygon(c(time(pred$a[,3]), rev(time(pred$a[,3]))), c(pred$a[,3] + 2 * sqrt(pred$P[,3]), rev(pred$a[,3])), col = 'gray85', border = NA)
polygon(c(time(pred$a[,3]), rev(time(pred$a[,3]))), c(pred$a[,3] - 2 * sqrt(pred$P[,3]), rev(pred$a[,3])), col = ' gray85', border = NA)
lines(pred$a[,3], col = 'blue', lwd = 1.5)
mtext(text = 'forecasts of the seasonal component', side = 3, adj = 0)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Structural Time Series Model -- Interpolation',6,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Observed',header=TRUE)
a<-table.element(a,'Level',header=TRUE)
a<-table.element(a,'Slope',header=TRUE)
a<-table.element(a,'Seasonal',header=TRUE)
a<-table.element(a,'Stand. Residuals',header=TRUE)
a<-table.row.end(a)
for (i in 1:nx) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
a<-table.element(a,mylevel[i])
a<-table.element(a,myslope[i])
a<-table.element(a,myseas[i])
a<-table.element(a,myresid[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Structural Time Series Model -- Extrapolation',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Observed',header=TRUE)
a<-table.element(a,'Level',header=TRUE)
a<-table.element(a,'Seasonal',header=TRUE)
a<-table.row.end(a)
for (i in 1:par2) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,pred$pred[i])
a<-table.element(a,pred$a[i,1])
a<-table.element(a,pred$a[i,3])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable1.tab')