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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 computationSat, 17 Dec 2016 11:40:48 +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/17/t14819712784yiiulhwjj5il8x.htm/, Retrieved Thu, 02 May 2024 02:59:27 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=300674, Retrieved Thu, 02 May 2024 02:59:27 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact78
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Structural Time Series Models] [] [2016-12-17 10:40:48] [57f1f1af0ba442a9c0352eeef9ded060] [Current]
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Dataseries X:
7300
6800
7260
7460
7480
7700
7360
7520
7680
7660
8040
7560
7620
7260
7400
7900
7920
8120
7500
7840
7920
7960
8040
7760
7460
7500
7540
6980
7420
7560
6780
7420
7660
7860
7280
7620
7540
7320
7500
7180
7440
7620
7280
7240
7660
7780
7600
7480
7420
7260
7640
7540
7860
8240
7460
7560
8020
8280
8180
8100
7840
7720
7860
7700
7880
7960
7860
8020
8240
8260
8060
7980
7600
7560
7260
7620
7900
8020
7580
7460
8060
8060
7800
7620
7520
7540
7760
7620
7820
7880
7720
7860
8180
8160
8060
7980
7880
7680
7660
7540
7800
7920
7680
7880
8060
8040
7700
7880
7820
7420
7820
7600
7620
7880
7620
7820
7720




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time6 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 time6 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300674&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]6 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=300674&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300674&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 time6 seconds
R ServerBig Analytics Cloud Computing Center







Structural Time Series Model -- Interpolation
tObservedLevelSlopeSeasonalStand. Residuals
173007300000
268007066.91587642757-11.7972611164628-166.651596867079-2.40491658580525
372607110.40882458386-7.83560578382365132.0448344244760.486896985158562
474607263.571103917861.37074141062844133.4474656492491.66749928143969
574807375.648871476345.9004021448114855.38777719045751.24918286286722
677007524.197482999110.2599774903654109.6983804298271.65975537961155
773607487.661618364379.0750405016806-105.618319994795-0.550033623788389
875207493.74622994869.006352007266127.6703104597628-0.0352629738500166
976807568.3523769104710.445902862433680.5177169872770.77426331029034
1076607618.8125457449311.303694314924322.18871706445210.472376290322208
1180407794.2856148465814.7674947442349167.7514518658481.93809882389347
1275607735.8971895054413.2455486062225-141.15073549619-0.863652004276611
1376207690.4889110081115.8368967433823-40.6758038410821-0.797603031961163
1472607621.7429226338215.2880146584111-324.04243179194-0.991512392825579
1574007506.1668500841411.4147860357482-55.1875436305023-1.3920103423501
1679007612.9172664938614.5548529275038249.485099503931.03545701050367
1779207750.3701727918918.0956667093469118.6718275178251.39044513314451
1881207866.3441128028920.4010529723002211.6510241427891.13570478165336
1975007801.0546372291918.7207580986283-263.64506172301-1.0059977812744
2078407815.0847910425818.639724430857226.9783855649434-0.0553329119557236
2179207847.4699230826318.859990769469766.46535794260910.162443485561265
2279607919.7846215109219.662632499924316.5944784474960.632082260106013
2380407906.5996985335719.2358713927023147.941231845765-0.388443017601471
2477607893.3036056642318.9836796133283-118.82602099893-0.385762740912468
2574607740.5488195625219.8118513591137-202.184091899956-2.09858997183996
2675007736.9989247216519.6599677058793-226.734759504714-0.275272922295739
2775407719.4403473425918.9875100082979-164.020968858926-0.419273455017721
2869807381.6548892405110.840485382015-255.966095431887-3.99817986326413
2974207314.161464356519.06153315097784138.367547762919-0.892565715596872
3075607301.791001641428.62251177958385267.295865071549-0.248370103293252
3167807212.80191254166.86743505249588-390.814047312128-1.14341386385595
3274207275.729646744857.75985681110268119.9584267531680.66035471501221
3376607416.529177447619.6582468113974185.5295336706341.57098554864454
3478607592.666272774911.7547160478503194.6635082595011.9673085996377
3572807448.4720299203810.1464411111577-100.272749969227-1.84334292396024
3676207496.7324034292310.4183845837526106.5431223572710.451514250498519
3775407576.6318853519510.7169451992005-67.29208568184180.82764592951638
3873207543.6980863897110.3506920953255-204.747095158127-0.512412551564904
3975007505.793170418519.6674630984139814.5918818696106-0.554591913951016
4071807457.243395120328.63412236802466-252.965145112522-0.664367461845148
4174407385.472427657137.1293493011819388.2119014597032-0.92343414493611
4276207353.040015147066.41847026893772283.725919490147-0.459065421562352
4372807488.997549441698.55435812774168-264.4786505784051.51575531474679
4472407417.676260515947.36764487060911-143.218810201854-0.939401454102133
4576607454.348407002057.75588181915723192.9568376365970.345487369956446
4677807485.51084876258.02718900022175284.3263227469170.276179972606961
4776007584.004117321158.91442101671826-23.34177241948931.06780430922303
4874807537.970873897358.46733191453938-34.0413800534862-0.649122812273139
4974207501.475366509628.12854083265714-61.8953943948629-0.531052013730608
5072607468.658513513457.73733789220514-190.98722614477-0.479835836765299
5176407505.005393882328.09962823135802122.8211573732590.331608343525278
5275407603.002723602519.45446173489338-100.9217628752421.03654696847699
5378607684.3999544575510.6141750646541145.2367568885040.831482670688985
5482407821.699666116512.6399488585782364.4966283432541.47314157404869
5574607802.1183105574312.1523393618521-328.334736679259-0.376918267900197
5675607778.7836223837211.6579575180489-203.517208490047-0.416818577161215
5780207807.1322622539811.8682893025445205.661766947720.196461317318107
5882807896.7717547175412.7429045665128349.5848080129420.916175833535683
5981808012.2943638150813.7686209820757123.1939481202961.21115801481516
6081008072.0164630643114.18578135581678.07208524513960.541560266545183
6178408026.6989076491613.6487940492428-160.950802061268-0.700303013264788
6277208001.6747180678613.2543873605254-265.032872195068-0.452987875514809
6378607935.3255613967112.2988480378955-41.3444574091881-0.926656914604553
6477007904.2365257493311.7097143544252-185.818865114422-0.50331690868309
6578807864.6932913125610.969838696479437.0517087621656-0.595048904502863
6679607758.091130228249.26212011698139251.962649315636-1.36995230187272
6778607898.282796368911.0989999113265-94.28910498346331.53179466334626
6880208055.4480645715413.0244621860294-98.18845035792551.71411870659334
6982408103.7626790587613.4540792997722121.0362635025510.4148548081253
7082608071.1059424234312.9397441167473208.788330224265-0.542461217859752
7180608026.9887637010812.353174102421857.6482567040977-0.671390973266106
7279807988.2170308806411.854124820441313.8599538428931-0.601459327057543
7376007889.2881278920410.7652991623764-241.514844773298-1.30158680953234
7475607832.9800835223210.0568757701087-244.159688861347-0.785644503082788
7572607620.92582808737.46536306737524-265.947975158329-2.59200230211564
7676207642.900313016257.64959781241234-29.08236362493570.168935972833158
7779007720.298037410148.57960792796224150.0042492084190.812311567622392
7880207791.623976517179.42518676362607201.6082957261420.732341879297952
7975807795.187224677519.3478783163995-212.678766896911-0.0686023817903849
8074607716.486793879158.23793987007934-218.698354258154-1.03270093476787
8180607771.944255326568.79877760021361267.7471210607510.554571028601344
8280607793.557479418888.94156437049883260.9241722321780.150593730666264
8378007759.759379154358.4909340390869358.6567285182545-0.502356991560467
8476207669.46392777517.48084194523114-6.90148344511724-1.16080279076898
8575207662.200504596397.32896853541248-135.854914381636-0.173072660263202
8675407667.71442668097.30941576624382-126.93512487692-0.0212630733763385
8777607811.416500879038.87431313311705-109.8010473642261.59414305774689
8876207797.666532246078.59938263898336-168.004343939943-0.26404097312684
8978207763.61366646228.0617839549115874.5909171163576-0.497799801903333
9078807724.78083042117.46439882465434175.256323926303-0.548025765163537
9177207782.943797079398.10166988687383-84.64963307793830.593534474885548
9278607910.380088358499.55467036033925-101.5752396449361.39922714666678
9381807931.928031426599.69455555769358242.918813417210.140765227249469
9481607912.112050967259.3656127241392260.579912478124-0.346538197399954
9580607926.258918254579.41694488450692131.6838616257440.0561527310067672
9679807955.608029819199.6268367170561215.81677043865640.23403248266493
9778807995.787143535279.95034389182185-128.9205441563980.35845061019525
9876807962.907947070669.48366101033218-264.526014308061-0.501828579258473
9976607884.373657204318.48466198316093-186.670334491086-1.02977972527266
10075407803.050073756127.42493030681586-224.637852977428-1.04971328755881
10178007763.959511077126.8613923328125755.9265685184695-0.543671974429876
10279207773.608326469666.89546729344616145.1992526231210.0326052782254276
10376807799.193784544447.1220679633235-127.1994386489340.218877392378589
10478807872.955495328377.91240598844192-21.53953770071970.781249250966492
10580607863.56595829667.71333250883852203.863687681718-0.202988144630948
10680407838.103874404877.3435307786251216.152114384615-0.389366478663461
10777007744.082945040356.24218334972854-0.511394351654189-1.18978723128146
10878807774.090766724536.4971272680074195.69456572798230.278900189000167
10978207825.946451863196.9855035684476-25.43056676312860.53201011515849
11074207760.532781416446.19139349440473-309.465938220207-0.848423103315546
11178207820.91355108346.80188311992027-24.13727447150850.634423084355159
11276007827.172886973326.79560806384999-226.940599985638-0.00634784748339279
11376207740.163342163745.69027623705576-80.0151139046459-1.09746982490262
11478807734.942304296495.56079751187007149.729437704712-0.127719351378594
11576207751.02721633185.68504849674498-135.5369497797050.123281414742454
11678207780.142268601515.957535501200629.80816025570410.274665285664348
11777207679.079072925824.7388287622675586.8601773214496-1.25524547131253

\begin{tabular}{lllllllll}
\hline
Structural Time Series Model -- Interpolation \tabularnewline
t & Observed & Level & Slope & Seasonal & Stand. Residuals \tabularnewline
1 & 7300 & 7300 & 0 & 0 & 0 \tabularnewline
2 & 6800 & 7066.91587642757 & -11.7972611164628 & -166.651596867079 & -2.40491658580525 \tabularnewline
3 & 7260 & 7110.40882458386 & -7.83560578382365 & 132.044834424476 & 0.486896985158562 \tabularnewline
4 & 7460 & 7263.57110391786 & 1.37074141062844 & 133.447465649249 & 1.66749928143969 \tabularnewline
5 & 7480 & 7375.64887147634 & 5.90040214481148 & 55.3877771904575 & 1.24918286286722 \tabularnewline
6 & 7700 & 7524.1974829991 & 10.2599774903654 & 109.698380429827 & 1.65975537961155 \tabularnewline
7 & 7360 & 7487.66161836437 & 9.0750405016806 & -105.618319994795 & -0.550033623788389 \tabularnewline
8 & 7520 & 7493.7462299486 & 9.0063520072661 & 27.6703104597628 & -0.0352629738500166 \tabularnewline
9 & 7680 & 7568.35237691047 & 10.4459028624336 & 80.517716987277 & 0.77426331029034 \tabularnewline
10 & 7660 & 7618.81254574493 & 11.3036943149243 & 22.1887170644521 & 0.472376290322208 \tabularnewline
11 & 8040 & 7794.28561484658 & 14.7674947442349 & 167.751451865848 & 1.93809882389347 \tabularnewline
12 & 7560 & 7735.89718950544 & 13.2455486062225 & -141.15073549619 & -0.863652004276611 \tabularnewline
13 & 7620 & 7690.48891100811 & 15.8368967433823 & -40.6758038410821 & -0.797603031961163 \tabularnewline
14 & 7260 & 7621.74292263382 & 15.2880146584111 & -324.04243179194 & -0.991512392825579 \tabularnewline
15 & 7400 & 7506.16685008414 & 11.4147860357482 & -55.1875436305023 & -1.3920103423501 \tabularnewline
16 & 7900 & 7612.91726649386 & 14.5548529275038 & 249.48509950393 & 1.03545701050367 \tabularnewline
17 & 7920 & 7750.37017279189 & 18.0956667093469 & 118.671827517825 & 1.39044513314451 \tabularnewline
18 & 8120 & 7866.34411280289 & 20.4010529723002 & 211.651024142789 & 1.13570478165336 \tabularnewline
19 & 7500 & 7801.05463722919 & 18.7207580986283 & -263.64506172301 & -1.0059977812744 \tabularnewline
20 & 7840 & 7815.08479104258 & 18.6397244308572 & 26.9783855649434 & -0.0553329119557236 \tabularnewline
21 & 7920 & 7847.46992308263 & 18.8599907694697 & 66.4653579426091 & 0.162443485561265 \tabularnewline
22 & 7960 & 7919.78462151092 & 19.6626324999243 & 16.594478447496 & 0.632082260106013 \tabularnewline
23 & 8040 & 7906.59969853357 & 19.2358713927023 & 147.941231845765 & -0.388443017601471 \tabularnewline
24 & 7760 & 7893.30360566423 & 18.9836796133283 & -118.82602099893 & -0.385762740912468 \tabularnewline
25 & 7460 & 7740.54881956252 & 19.8118513591137 & -202.184091899956 & -2.09858997183996 \tabularnewline
26 & 7500 & 7736.99892472165 & 19.6599677058793 & -226.734759504714 & -0.275272922295739 \tabularnewline
27 & 7540 & 7719.44034734259 & 18.9875100082979 & -164.020968858926 & -0.419273455017721 \tabularnewline
28 & 6980 & 7381.65488924051 & 10.840485382015 & -255.966095431887 & -3.99817986326413 \tabularnewline
29 & 7420 & 7314.16146435651 & 9.06153315097784 & 138.367547762919 & -0.892565715596872 \tabularnewline
30 & 7560 & 7301.79100164142 & 8.62251177958385 & 267.295865071549 & -0.248370103293252 \tabularnewline
31 & 6780 & 7212.8019125416 & 6.86743505249588 & -390.814047312128 & -1.14341386385595 \tabularnewline
32 & 7420 & 7275.72964674485 & 7.75985681110268 & 119.958426753168 & 0.66035471501221 \tabularnewline
33 & 7660 & 7416.52917744761 & 9.6582468113974 & 185.529533670634 & 1.57098554864454 \tabularnewline
34 & 7860 & 7592.6662727749 & 11.7547160478503 & 194.663508259501 & 1.9673085996377 \tabularnewline
35 & 7280 & 7448.47202992038 & 10.1464411111577 & -100.272749969227 & -1.84334292396024 \tabularnewline
36 & 7620 & 7496.73240342923 & 10.4183845837526 & 106.543122357271 & 0.451514250498519 \tabularnewline
37 & 7540 & 7576.63188535195 & 10.7169451992005 & -67.2920856818418 & 0.82764592951638 \tabularnewline
38 & 7320 & 7543.69808638971 & 10.3506920953255 & -204.747095158127 & -0.512412551564904 \tabularnewline
39 & 7500 & 7505.79317041851 & 9.66746309841398 & 14.5918818696106 & -0.554591913951016 \tabularnewline
40 & 7180 & 7457.24339512032 & 8.63412236802466 & -252.965145112522 & -0.664367461845148 \tabularnewline
41 & 7440 & 7385.47242765713 & 7.12934930118193 & 88.2119014597032 & -0.92343414493611 \tabularnewline
42 & 7620 & 7353.04001514706 & 6.41847026893772 & 283.725919490147 & -0.459065421562352 \tabularnewline
43 & 7280 & 7488.99754944169 & 8.55435812774168 & -264.478650578405 & 1.51575531474679 \tabularnewline
44 & 7240 & 7417.67626051594 & 7.36764487060911 & -143.218810201854 & -0.939401454102133 \tabularnewline
45 & 7660 & 7454.34840700205 & 7.75588181915723 & 192.956837636597 & 0.345487369956446 \tabularnewline
46 & 7780 & 7485.5108487625 & 8.02718900022175 & 284.326322746917 & 0.276179972606961 \tabularnewline
47 & 7600 & 7584.00411732115 & 8.91442101671826 & -23.3417724194893 & 1.06780430922303 \tabularnewline
48 & 7480 & 7537.97087389735 & 8.46733191453938 & -34.0413800534862 & -0.649122812273139 \tabularnewline
49 & 7420 & 7501.47536650962 & 8.12854083265714 & -61.8953943948629 & -0.531052013730608 \tabularnewline
50 & 7260 & 7468.65851351345 & 7.73733789220514 & -190.98722614477 & -0.479835836765299 \tabularnewline
51 & 7640 & 7505.00539388232 & 8.09962823135802 & 122.821157373259 & 0.331608343525278 \tabularnewline
52 & 7540 & 7603.00272360251 & 9.45446173489338 & -100.921762875242 & 1.03654696847699 \tabularnewline
53 & 7860 & 7684.39995445755 & 10.6141750646541 & 145.236756888504 & 0.831482670688985 \tabularnewline
54 & 8240 & 7821.6996661165 & 12.6399488585782 & 364.496628343254 & 1.47314157404869 \tabularnewline
55 & 7460 & 7802.11831055743 & 12.1523393618521 & -328.334736679259 & -0.376918267900197 \tabularnewline
56 & 7560 & 7778.78362238372 & 11.6579575180489 & -203.517208490047 & -0.416818577161215 \tabularnewline
57 & 8020 & 7807.13226225398 & 11.8682893025445 & 205.66176694772 & 0.196461317318107 \tabularnewline
58 & 8280 & 7896.77175471754 & 12.7429045665128 & 349.584808012942 & 0.916175833535683 \tabularnewline
59 & 8180 & 8012.29436381508 & 13.7686209820757 & 123.193948120296 & 1.21115801481516 \tabularnewline
60 & 8100 & 8072.01646306431 & 14.1857813558167 & 8.0720852451396 & 0.541560266545183 \tabularnewline
61 & 7840 & 8026.69890764916 & 13.6487940492428 & -160.950802061268 & -0.700303013264788 \tabularnewline
62 & 7720 & 8001.67471806786 & 13.2543873605254 & -265.032872195068 & -0.452987875514809 \tabularnewline
63 & 7860 & 7935.32556139671 & 12.2988480378955 & -41.3444574091881 & -0.926656914604553 \tabularnewline
64 & 7700 & 7904.23652574933 & 11.7097143544252 & -185.818865114422 & -0.50331690868309 \tabularnewline
65 & 7880 & 7864.69329131256 & 10.9698386964794 & 37.0517087621656 & -0.595048904502863 \tabularnewline
66 & 7960 & 7758.09113022824 & 9.26212011698139 & 251.962649315636 & -1.36995230187272 \tabularnewline
67 & 7860 & 7898.2827963689 & 11.0989999113265 & -94.2891049834633 & 1.53179466334626 \tabularnewline
68 & 8020 & 8055.44806457154 & 13.0244621860294 & -98.1884503579255 & 1.71411870659334 \tabularnewline
69 & 8240 & 8103.76267905876 & 13.4540792997722 & 121.036263502551 & 0.4148548081253 \tabularnewline
70 & 8260 & 8071.10594242343 & 12.9397441167473 & 208.788330224265 & -0.542461217859752 \tabularnewline
71 & 8060 & 8026.98876370108 & 12.3531741024218 & 57.6482567040977 & -0.671390973266106 \tabularnewline
72 & 7980 & 7988.21703088064 & 11.8541248204413 & 13.8599538428931 & -0.601459327057543 \tabularnewline
73 & 7600 & 7889.28812789204 & 10.7652991623764 & -241.514844773298 & -1.30158680953234 \tabularnewline
74 & 7560 & 7832.98008352232 & 10.0568757701087 & -244.159688861347 & -0.785644503082788 \tabularnewline
75 & 7260 & 7620.9258280873 & 7.46536306737524 & -265.947975158329 & -2.59200230211564 \tabularnewline
76 & 7620 & 7642.90031301625 & 7.64959781241234 & -29.0823636249357 & 0.168935972833158 \tabularnewline
77 & 7900 & 7720.29803741014 & 8.57960792796224 & 150.004249208419 & 0.812311567622392 \tabularnewline
78 & 8020 & 7791.62397651717 & 9.42518676362607 & 201.608295726142 & 0.732341879297952 \tabularnewline
79 & 7580 & 7795.18722467751 & 9.3478783163995 & -212.678766896911 & -0.0686023817903849 \tabularnewline
80 & 7460 & 7716.48679387915 & 8.23793987007934 & -218.698354258154 & -1.03270093476787 \tabularnewline
81 & 8060 & 7771.94425532656 & 8.79877760021361 & 267.747121060751 & 0.554571028601344 \tabularnewline
82 & 8060 & 7793.55747941888 & 8.94156437049883 & 260.924172232178 & 0.150593730666264 \tabularnewline
83 & 7800 & 7759.75937915435 & 8.49093403908693 & 58.6567285182545 & -0.502356991560467 \tabularnewline
84 & 7620 & 7669.4639277751 & 7.48084194523114 & -6.90148344511724 & -1.16080279076898 \tabularnewline
85 & 7520 & 7662.20050459639 & 7.32896853541248 & -135.854914381636 & -0.173072660263202 \tabularnewline
86 & 7540 & 7667.7144266809 & 7.30941576624382 & -126.93512487692 & -0.0212630733763385 \tabularnewline
87 & 7760 & 7811.41650087903 & 8.87431313311705 & -109.801047364226 & 1.59414305774689 \tabularnewline
88 & 7620 & 7797.66653224607 & 8.59938263898336 & -168.004343939943 & -0.26404097312684 \tabularnewline
89 & 7820 & 7763.6136664622 & 8.06178395491158 & 74.5909171163576 & -0.497799801903333 \tabularnewline
90 & 7880 & 7724.7808304211 & 7.46439882465434 & 175.256323926303 & -0.548025765163537 \tabularnewline
91 & 7720 & 7782.94379707939 & 8.10166988687383 & -84.6496330779383 & 0.593534474885548 \tabularnewline
92 & 7860 & 7910.38008835849 & 9.55467036033925 & -101.575239644936 & 1.39922714666678 \tabularnewline
93 & 8180 & 7931.92803142659 & 9.69455555769358 & 242.91881341721 & 0.140765227249469 \tabularnewline
94 & 8160 & 7912.11205096725 & 9.3656127241392 & 260.579912478124 & -0.346538197399954 \tabularnewline
95 & 8060 & 7926.25891825457 & 9.41694488450692 & 131.683861625744 & 0.0561527310067672 \tabularnewline
96 & 7980 & 7955.60802981919 & 9.62683671705612 & 15.8167704386564 & 0.23403248266493 \tabularnewline
97 & 7880 & 7995.78714353527 & 9.95034389182185 & -128.920544156398 & 0.35845061019525 \tabularnewline
98 & 7680 & 7962.90794707066 & 9.48366101033218 & -264.526014308061 & -0.501828579258473 \tabularnewline
99 & 7660 & 7884.37365720431 & 8.48466198316093 & -186.670334491086 & -1.02977972527266 \tabularnewline
100 & 7540 & 7803.05007375612 & 7.42493030681586 & -224.637852977428 & -1.04971328755881 \tabularnewline
101 & 7800 & 7763.95951107712 & 6.86139233281257 & 55.9265685184695 & -0.543671974429876 \tabularnewline
102 & 7920 & 7773.60832646966 & 6.89546729344616 & 145.199252623121 & 0.0326052782254276 \tabularnewline
103 & 7680 & 7799.19378454444 & 7.1220679633235 & -127.199438648934 & 0.218877392378589 \tabularnewline
104 & 7880 & 7872.95549532837 & 7.91240598844192 & -21.5395377007197 & 0.781249250966492 \tabularnewline
105 & 8060 & 7863.5659582966 & 7.71333250883852 & 203.863687681718 & -0.202988144630948 \tabularnewline
106 & 8040 & 7838.10387440487 & 7.3435307786251 & 216.152114384615 & -0.389366478663461 \tabularnewline
107 & 7700 & 7744.08294504035 & 6.24218334972854 & -0.511394351654189 & -1.18978723128146 \tabularnewline
108 & 7880 & 7774.09076672453 & 6.49712726800741 & 95.6945657279823 & 0.278900189000167 \tabularnewline
109 & 7820 & 7825.94645186319 & 6.9855035684476 & -25.4305667631286 & 0.53201011515849 \tabularnewline
110 & 7420 & 7760.53278141644 & 6.19139349440473 & -309.465938220207 & -0.848423103315546 \tabularnewline
111 & 7820 & 7820.9135510834 & 6.80188311992027 & -24.1372744715085 & 0.634423084355159 \tabularnewline
112 & 7600 & 7827.17288697332 & 6.79560806384999 & -226.940599985638 & -0.00634784748339279 \tabularnewline
113 & 7620 & 7740.16334216374 & 5.69027623705576 & -80.0151139046459 & -1.09746982490262 \tabularnewline
114 & 7880 & 7734.94230429649 & 5.56079751187007 & 149.729437704712 & -0.127719351378594 \tabularnewline
115 & 7620 & 7751.0272163318 & 5.68504849674498 & -135.536949779705 & 0.123281414742454 \tabularnewline
116 & 7820 & 7780.14226860151 & 5.9575355012006 & 29.8081602557041 & 0.274665285664348 \tabularnewline
117 & 7720 & 7679.07907292582 & 4.73882876226755 & 86.8601773214496 & -1.25524547131253 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300674&T=1

[TABLE]
[ROW][C]Structural Time Series Model -- Interpolation[/C][/ROW]
[ROW][C]t[/C][C]Observed[/C][C]Level[/C][C]Slope[/C][C]Seasonal[/C][C]Stand. Residuals[/C][/ROW]
[ROW][C]1[/C][C]7300[/C][C]7300[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]6800[/C][C]7066.91587642757[/C][C]-11.7972611164628[/C][C]-166.651596867079[/C][C]-2.40491658580525[/C][/ROW]
[ROW][C]3[/C][C]7260[/C][C]7110.40882458386[/C][C]-7.83560578382365[/C][C]132.044834424476[/C][C]0.486896985158562[/C][/ROW]
[ROW][C]4[/C][C]7460[/C][C]7263.57110391786[/C][C]1.37074141062844[/C][C]133.447465649249[/C][C]1.66749928143969[/C][/ROW]
[ROW][C]5[/C][C]7480[/C][C]7375.64887147634[/C][C]5.90040214481148[/C][C]55.3877771904575[/C][C]1.24918286286722[/C][/ROW]
[ROW][C]6[/C][C]7700[/C][C]7524.1974829991[/C][C]10.2599774903654[/C][C]109.698380429827[/C][C]1.65975537961155[/C][/ROW]
[ROW][C]7[/C][C]7360[/C][C]7487.66161836437[/C][C]9.0750405016806[/C][C]-105.618319994795[/C][C]-0.550033623788389[/C][/ROW]
[ROW][C]8[/C][C]7520[/C][C]7493.7462299486[/C][C]9.0063520072661[/C][C]27.6703104597628[/C][C]-0.0352629738500166[/C][/ROW]
[ROW][C]9[/C][C]7680[/C][C]7568.35237691047[/C][C]10.4459028624336[/C][C]80.517716987277[/C][C]0.77426331029034[/C][/ROW]
[ROW][C]10[/C][C]7660[/C][C]7618.81254574493[/C][C]11.3036943149243[/C][C]22.1887170644521[/C][C]0.472376290322208[/C][/ROW]
[ROW][C]11[/C][C]8040[/C][C]7794.28561484658[/C][C]14.7674947442349[/C][C]167.751451865848[/C][C]1.93809882389347[/C][/ROW]
[ROW][C]12[/C][C]7560[/C][C]7735.89718950544[/C][C]13.2455486062225[/C][C]-141.15073549619[/C][C]-0.863652004276611[/C][/ROW]
[ROW][C]13[/C][C]7620[/C][C]7690.48891100811[/C][C]15.8368967433823[/C][C]-40.6758038410821[/C][C]-0.797603031961163[/C][/ROW]
[ROW][C]14[/C][C]7260[/C][C]7621.74292263382[/C][C]15.2880146584111[/C][C]-324.04243179194[/C][C]-0.991512392825579[/C][/ROW]
[ROW][C]15[/C][C]7400[/C][C]7506.16685008414[/C][C]11.4147860357482[/C][C]-55.1875436305023[/C][C]-1.3920103423501[/C][/ROW]
[ROW][C]16[/C][C]7900[/C][C]7612.91726649386[/C][C]14.5548529275038[/C][C]249.48509950393[/C][C]1.03545701050367[/C][/ROW]
[ROW][C]17[/C][C]7920[/C][C]7750.37017279189[/C][C]18.0956667093469[/C][C]118.671827517825[/C][C]1.39044513314451[/C][/ROW]
[ROW][C]18[/C][C]8120[/C][C]7866.34411280289[/C][C]20.4010529723002[/C][C]211.651024142789[/C][C]1.13570478165336[/C][/ROW]
[ROW][C]19[/C][C]7500[/C][C]7801.05463722919[/C][C]18.7207580986283[/C][C]-263.64506172301[/C][C]-1.0059977812744[/C][/ROW]
[ROW][C]20[/C][C]7840[/C][C]7815.08479104258[/C][C]18.6397244308572[/C][C]26.9783855649434[/C][C]-0.0553329119557236[/C][/ROW]
[ROW][C]21[/C][C]7920[/C][C]7847.46992308263[/C][C]18.8599907694697[/C][C]66.4653579426091[/C][C]0.162443485561265[/C][/ROW]
[ROW][C]22[/C][C]7960[/C][C]7919.78462151092[/C][C]19.6626324999243[/C][C]16.594478447496[/C][C]0.632082260106013[/C][/ROW]
[ROW][C]23[/C][C]8040[/C][C]7906.59969853357[/C][C]19.2358713927023[/C][C]147.941231845765[/C][C]-0.388443017601471[/C][/ROW]
[ROW][C]24[/C][C]7760[/C][C]7893.30360566423[/C][C]18.9836796133283[/C][C]-118.82602099893[/C][C]-0.385762740912468[/C][/ROW]
[ROW][C]25[/C][C]7460[/C][C]7740.54881956252[/C][C]19.8118513591137[/C][C]-202.184091899956[/C][C]-2.09858997183996[/C][/ROW]
[ROW][C]26[/C][C]7500[/C][C]7736.99892472165[/C][C]19.6599677058793[/C][C]-226.734759504714[/C][C]-0.275272922295739[/C][/ROW]
[ROW][C]27[/C][C]7540[/C][C]7719.44034734259[/C][C]18.9875100082979[/C][C]-164.020968858926[/C][C]-0.419273455017721[/C][/ROW]
[ROW][C]28[/C][C]6980[/C][C]7381.65488924051[/C][C]10.840485382015[/C][C]-255.966095431887[/C][C]-3.99817986326413[/C][/ROW]
[ROW][C]29[/C][C]7420[/C][C]7314.16146435651[/C][C]9.06153315097784[/C][C]138.367547762919[/C][C]-0.892565715596872[/C][/ROW]
[ROW][C]30[/C][C]7560[/C][C]7301.79100164142[/C][C]8.62251177958385[/C][C]267.295865071549[/C][C]-0.248370103293252[/C][/ROW]
[ROW][C]31[/C][C]6780[/C][C]7212.8019125416[/C][C]6.86743505249588[/C][C]-390.814047312128[/C][C]-1.14341386385595[/C][/ROW]
[ROW][C]32[/C][C]7420[/C][C]7275.72964674485[/C][C]7.75985681110268[/C][C]119.958426753168[/C][C]0.66035471501221[/C][/ROW]
[ROW][C]33[/C][C]7660[/C][C]7416.52917744761[/C][C]9.6582468113974[/C][C]185.529533670634[/C][C]1.57098554864454[/C][/ROW]
[ROW][C]34[/C][C]7860[/C][C]7592.6662727749[/C][C]11.7547160478503[/C][C]194.663508259501[/C][C]1.9673085996377[/C][/ROW]
[ROW][C]35[/C][C]7280[/C][C]7448.47202992038[/C][C]10.1464411111577[/C][C]-100.272749969227[/C][C]-1.84334292396024[/C][/ROW]
[ROW][C]36[/C][C]7620[/C][C]7496.73240342923[/C][C]10.4183845837526[/C][C]106.543122357271[/C][C]0.451514250498519[/C][/ROW]
[ROW][C]37[/C][C]7540[/C][C]7576.63188535195[/C][C]10.7169451992005[/C][C]-67.2920856818418[/C][C]0.82764592951638[/C][/ROW]
[ROW][C]38[/C][C]7320[/C][C]7543.69808638971[/C][C]10.3506920953255[/C][C]-204.747095158127[/C][C]-0.512412551564904[/C][/ROW]
[ROW][C]39[/C][C]7500[/C][C]7505.79317041851[/C][C]9.66746309841398[/C][C]14.5918818696106[/C][C]-0.554591913951016[/C][/ROW]
[ROW][C]40[/C][C]7180[/C][C]7457.24339512032[/C][C]8.63412236802466[/C][C]-252.965145112522[/C][C]-0.664367461845148[/C][/ROW]
[ROW][C]41[/C][C]7440[/C][C]7385.47242765713[/C][C]7.12934930118193[/C][C]88.2119014597032[/C][C]-0.92343414493611[/C][/ROW]
[ROW][C]42[/C][C]7620[/C][C]7353.04001514706[/C][C]6.41847026893772[/C][C]283.725919490147[/C][C]-0.459065421562352[/C][/ROW]
[ROW][C]43[/C][C]7280[/C][C]7488.99754944169[/C][C]8.55435812774168[/C][C]-264.478650578405[/C][C]1.51575531474679[/C][/ROW]
[ROW][C]44[/C][C]7240[/C][C]7417.67626051594[/C][C]7.36764487060911[/C][C]-143.218810201854[/C][C]-0.939401454102133[/C][/ROW]
[ROW][C]45[/C][C]7660[/C][C]7454.34840700205[/C][C]7.75588181915723[/C][C]192.956837636597[/C][C]0.345487369956446[/C][/ROW]
[ROW][C]46[/C][C]7780[/C][C]7485.5108487625[/C][C]8.02718900022175[/C][C]284.326322746917[/C][C]0.276179972606961[/C][/ROW]
[ROW][C]47[/C][C]7600[/C][C]7584.00411732115[/C][C]8.91442101671826[/C][C]-23.3417724194893[/C][C]1.06780430922303[/C][/ROW]
[ROW][C]48[/C][C]7480[/C][C]7537.97087389735[/C][C]8.46733191453938[/C][C]-34.0413800534862[/C][C]-0.649122812273139[/C][/ROW]
[ROW][C]49[/C][C]7420[/C][C]7501.47536650962[/C][C]8.12854083265714[/C][C]-61.8953943948629[/C][C]-0.531052013730608[/C][/ROW]
[ROW][C]50[/C][C]7260[/C][C]7468.65851351345[/C][C]7.73733789220514[/C][C]-190.98722614477[/C][C]-0.479835836765299[/C][/ROW]
[ROW][C]51[/C][C]7640[/C][C]7505.00539388232[/C][C]8.09962823135802[/C][C]122.821157373259[/C][C]0.331608343525278[/C][/ROW]
[ROW][C]52[/C][C]7540[/C][C]7603.00272360251[/C][C]9.45446173489338[/C][C]-100.921762875242[/C][C]1.03654696847699[/C][/ROW]
[ROW][C]53[/C][C]7860[/C][C]7684.39995445755[/C][C]10.6141750646541[/C][C]145.236756888504[/C][C]0.831482670688985[/C][/ROW]
[ROW][C]54[/C][C]8240[/C][C]7821.6996661165[/C][C]12.6399488585782[/C][C]364.496628343254[/C][C]1.47314157404869[/C][/ROW]
[ROW][C]55[/C][C]7460[/C][C]7802.11831055743[/C][C]12.1523393618521[/C][C]-328.334736679259[/C][C]-0.376918267900197[/C][/ROW]
[ROW][C]56[/C][C]7560[/C][C]7778.78362238372[/C][C]11.6579575180489[/C][C]-203.517208490047[/C][C]-0.416818577161215[/C][/ROW]
[ROW][C]57[/C][C]8020[/C][C]7807.13226225398[/C][C]11.8682893025445[/C][C]205.66176694772[/C][C]0.196461317318107[/C][/ROW]
[ROW][C]58[/C][C]8280[/C][C]7896.77175471754[/C][C]12.7429045665128[/C][C]349.584808012942[/C][C]0.916175833535683[/C][/ROW]
[ROW][C]59[/C][C]8180[/C][C]8012.29436381508[/C][C]13.7686209820757[/C][C]123.193948120296[/C][C]1.21115801481516[/C][/ROW]
[ROW][C]60[/C][C]8100[/C][C]8072.01646306431[/C][C]14.1857813558167[/C][C]8.0720852451396[/C][C]0.541560266545183[/C][/ROW]
[ROW][C]61[/C][C]7840[/C][C]8026.69890764916[/C][C]13.6487940492428[/C][C]-160.950802061268[/C][C]-0.700303013264788[/C][/ROW]
[ROW][C]62[/C][C]7720[/C][C]8001.67471806786[/C][C]13.2543873605254[/C][C]-265.032872195068[/C][C]-0.452987875514809[/C][/ROW]
[ROW][C]63[/C][C]7860[/C][C]7935.32556139671[/C][C]12.2988480378955[/C][C]-41.3444574091881[/C][C]-0.926656914604553[/C][/ROW]
[ROW][C]64[/C][C]7700[/C][C]7904.23652574933[/C][C]11.7097143544252[/C][C]-185.818865114422[/C][C]-0.50331690868309[/C][/ROW]
[ROW][C]65[/C][C]7880[/C][C]7864.69329131256[/C][C]10.9698386964794[/C][C]37.0517087621656[/C][C]-0.595048904502863[/C][/ROW]
[ROW][C]66[/C][C]7960[/C][C]7758.09113022824[/C][C]9.26212011698139[/C][C]251.962649315636[/C][C]-1.36995230187272[/C][/ROW]
[ROW][C]67[/C][C]7860[/C][C]7898.2827963689[/C][C]11.0989999113265[/C][C]-94.2891049834633[/C][C]1.53179466334626[/C][/ROW]
[ROW][C]68[/C][C]8020[/C][C]8055.44806457154[/C][C]13.0244621860294[/C][C]-98.1884503579255[/C][C]1.71411870659334[/C][/ROW]
[ROW][C]69[/C][C]8240[/C][C]8103.76267905876[/C][C]13.4540792997722[/C][C]121.036263502551[/C][C]0.4148548081253[/C][/ROW]
[ROW][C]70[/C][C]8260[/C][C]8071.10594242343[/C][C]12.9397441167473[/C][C]208.788330224265[/C][C]-0.542461217859752[/C][/ROW]
[ROW][C]71[/C][C]8060[/C][C]8026.98876370108[/C][C]12.3531741024218[/C][C]57.6482567040977[/C][C]-0.671390973266106[/C][/ROW]
[ROW][C]72[/C][C]7980[/C][C]7988.21703088064[/C][C]11.8541248204413[/C][C]13.8599538428931[/C][C]-0.601459327057543[/C][/ROW]
[ROW][C]73[/C][C]7600[/C][C]7889.28812789204[/C][C]10.7652991623764[/C][C]-241.514844773298[/C][C]-1.30158680953234[/C][/ROW]
[ROW][C]74[/C][C]7560[/C][C]7832.98008352232[/C][C]10.0568757701087[/C][C]-244.159688861347[/C][C]-0.785644503082788[/C][/ROW]
[ROW][C]75[/C][C]7260[/C][C]7620.9258280873[/C][C]7.46536306737524[/C][C]-265.947975158329[/C][C]-2.59200230211564[/C][/ROW]
[ROW][C]76[/C][C]7620[/C][C]7642.90031301625[/C][C]7.64959781241234[/C][C]-29.0823636249357[/C][C]0.168935972833158[/C][/ROW]
[ROW][C]77[/C][C]7900[/C][C]7720.29803741014[/C][C]8.57960792796224[/C][C]150.004249208419[/C][C]0.812311567622392[/C][/ROW]
[ROW][C]78[/C][C]8020[/C][C]7791.62397651717[/C][C]9.42518676362607[/C][C]201.608295726142[/C][C]0.732341879297952[/C][/ROW]
[ROW][C]79[/C][C]7580[/C][C]7795.18722467751[/C][C]9.3478783163995[/C][C]-212.678766896911[/C][C]-0.0686023817903849[/C][/ROW]
[ROW][C]80[/C][C]7460[/C][C]7716.48679387915[/C][C]8.23793987007934[/C][C]-218.698354258154[/C][C]-1.03270093476787[/C][/ROW]
[ROW][C]81[/C][C]8060[/C][C]7771.94425532656[/C][C]8.79877760021361[/C][C]267.747121060751[/C][C]0.554571028601344[/C][/ROW]
[ROW][C]82[/C][C]8060[/C][C]7793.55747941888[/C][C]8.94156437049883[/C][C]260.924172232178[/C][C]0.150593730666264[/C][/ROW]
[ROW][C]83[/C][C]7800[/C][C]7759.75937915435[/C][C]8.49093403908693[/C][C]58.6567285182545[/C][C]-0.502356991560467[/C][/ROW]
[ROW][C]84[/C][C]7620[/C][C]7669.4639277751[/C][C]7.48084194523114[/C][C]-6.90148344511724[/C][C]-1.16080279076898[/C][/ROW]
[ROW][C]85[/C][C]7520[/C][C]7662.20050459639[/C][C]7.32896853541248[/C][C]-135.854914381636[/C][C]-0.173072660263202[/C][/ROW]
[ROW][C]86[/C][C]7540[/C][C]7667.7144266809[/C][C]7.30941576624382[/C][C]-126.93512487692[/C][C]-0.0212630733763385[/C][/ROW]
[ROW][C]87[/C][C]7760[/C][C]7811.41650087903[/C][C]8.87431313311705[/C][C]-109.801047364226[/C][C]1.59414305774689[/C][/ROW]
[ROW][C]88[/C][C]7620[/C][C]7797.66653224607[/C][C]8.59938263898336[/C][C]-168.004343939943[/C][C]-0.26404097312684[/C][/ROW]
[ROW][C]89[/C][C]7820[/C][C]7763.6136664622[/C][C]8.06178395491158[/C][C]74.5909171163576[/C][C]-0.497799801903333[/C][/ROW]
[ROW][C]90[/C][C]7880[/C][C]7724.7808304211[/C][C]7.46439882465434[/C][C]175.256323926303[/C][C]-0.548025765163537[/C][/ROW]
[ROW][C]91[/C][C]7720[/C][C]7782.94379707939[/C][C]8.10166988687383[/C][C]-84.6496330779383[/C][C]0.593534474885548[/C][/ROW]
[ROW][C]92[/C][C]7860[/C][C]7910.38008835849[/C][C]9.55467036033925[/C][C]-101.575239644936[/C][C]1.39922714666678[/C][/ROW]
[ROW][C]93[/C][C]8180[/C][C]7931.92803142659[/C][C]9.69455555769358[/C][C]242.91881341721[/C][C]0.140765227249469[/C][/ROW]
[ROW][C]94[/C][C]8160[/C][C]7912.11205096725[/C][C]9.3656127241392[/C][C]260.579912478124[/C][C]-0.346538197399954[/C][/ROW]
[ROW][C]95[/C][C]8060[/C][C]7926.25891825457[/C][C]9.41694488450692[/C][C]131.683861625744[/C][C]0.0561527310067672[/C][/ROW]
[ROW][C]96[/C][C]7980[/C][C]7955.60802981919[/C][C]9.62683671705612[/C][C]15.8167704386564[/C][C]0.23403248266493[/C][/ROW]
[ROW][C]97[/C][C]7880[/C][C]7995.78714353527[/C][C]9.95034389182185[/C][C]-128.920544156398[/C][C]0.35845061019525[/C][/ROW]
[ROW][C]98[/C][C]7680[/C][C]7962.90794707066[/C][C]9.48366101033218[/C][C]-264.526014308061[/C][C]-0.501828579258473[/C][/ROW]
[ROW][C]99[/C][C]7660[/C][C]7884.37365720431[/C][C]8.48466198316093[/C][C]-186.670334491086[/C][C]-1.02977972527266[/C][/ROW]
[ROW][C]100[/C][C]7540[/C][C]7803.05007375612[/C][C]7.42493030681586[/C][C]-224.637852977428[/C][C]-1.04971328755881[/C][/ROW]
[ROW][C]101[/C][C]7800[/C][C]7763.95951107712[/C][C]6.86139233281257[/C][C]55.9265685184695[/C][C]-0.543671974429876[/C][/ROW]
[ROW][C]102[/C][C]7920[/C][C]7773.60832646966[/C][C]6.89546729344616[/C][C]145.199252623121[/C][C]0.0326052782254276[/C][/ROW]
[ROW][C]103[/C][C]7680[/C][C]7799.19378454444[/C][C]7.1220679633235[/C][C]-127.199438648934[/C][C]0.218877392378589[/C][/ROW]
[ROW][C]104[/C][C]7880[/C][C]7872.95549532837[/C][C]7.91240598844192[/C][C]-21.5395377007197[/C][C]0.781249250966492[/C][/ROW]
[ROW][C]105[/C][C]8060[/C][C]7863.5659582966[/C][C]7.71333250883852[/C][C]203.863687681718[/C][C]-0.202988144630948[/C][/ROW]
[ROW][C]106[/C][C]8040[/C][C]7838.10387440487[/C][C]7.3435307786251[/C][C]216.152114384615[/C][C]-0.389366478663461[/C][/ROW]
[ROW][C]107[/C][C]7700[/C][C]7744.08294504035[/C][C]6.24218334972854[/C][C]-0.511394351654189[/C][C]-1.18978723128146[/C][/ROW]
[ROW][C]108[/C][C]7880[/C][C]7774.09076672453[/C][C]6.49712726800741[/C][C]95.6945657279823[/C][C]0.278900189000167[/C][/ROW]
[ROW][C]109[/C][C]7820[/C][C]7825.94645186319[/C][C]6.9855035684476[/C][C]-25.4305667631286[/C][C]0.53201011515849[/C][/ROW]
[ROW][C]110[/C][C]7420[/C][C]7760.53278141644[/C][C]6.19139349440473[/C][C]-309.465938220207[/C][C]-0.848423103315546[/C][/ROW]
[ROW][C]111[/C][C]7820[/C][C]7820.9135510834[/C][C]6.80188311992027[/C][C]-24.1372744715085[/C][C]0.634423084355159[/C][/ROW]
[ROW][C]112[/C][C]7600[/C][C]7827.17288697332[/C][C]6.79560806384999[/C][C]-226.940599985638[/C][C]-0.00634784748339279[/C][/ROW]
[ROW][C]113[/C][C]7620[/C][C]7740.16334216374[/C][C]5.69027623705576[/C][C]-80.0151139046459[/C][C]-1.09746982490262[/C][/ROW]
[ROW][C]114[/C][C]7880[/C][C]7734.94230429649[/C][C]5.56079751187007[/C][C]149.729437704712[/C][C]-0.127719351378594[/C][/ROW]
[ROW][C]115[/C][C]7620[/C][C]7751.0272163318[/C][C]5.68504849674498[/C][C]-135.536949779705[/C][C]0.123281414742454[/C][/ROW]
[ROW][C]116[/C][C]7820[/C][C]7780.14226860151[/C][C]5.9575355012006[/C][C]29.8081602557041[/C][C]0.274665285664348[/C][/ROW]
[ROW][C]117[/C][C]7720[/C][C]7679.07907292582[/C][C]4.73882876226755[/C][C]86.8601773214496[/C][C]-1.25524547131253[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=300674&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300674&T=1

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Structural Time Series Model -- Interpolation
tObservedLevelSlopeSeasonalStand. Residuals
173007300000
268007066.91587642757-11.7972611164628-166.651596867079-2.40491658580525
372607110.40882458386-7.83560578382365132.0448344244760.486896985158562
474607263.571103917861.37074141062844133.4474656492491.66749928143969
574807375.648871476345.9004021448114855.38777719045751.24918286286722
677007524.197482999110.2599774903654109.6983804298271.65975537961155
773607487.661618364379.0750405016806-105.618319994795-0.550033623788389
875207493.74622994869.006352007266127.6703104597628-0.0352629738500166
976807568.3523769104710.445902862433680.5177169872770.77426331029034
1076607618.8125457449311.303694314924322.18871706445210.472376290322208
1180407794.2856148465814.7674947442349167.7514518658481.93809882389347
1275607735.8971895054413.2455486062225-141.15073549619-0.863652004276611
1376207690.4889110081115.8368967433823-40.6758038410821-0.797603031961163
1472607621.7429226338215.2880146584111-324.04243179194-0.991512392825579
1574007506.1668500841411.4147860357482-55.1875436305023-1.3920103423501
1679007612.9172664938614.5548529275038249.485099503931.03545701050367
1779207750.3701727918918.0956667093469118.6718275178251.39044513314451
1881207866.3441128028920.4010529723002211.6510241427891.13570478165336
1975007801.0546372291918.7207580986283-263.64506172301-1.0059977812744
2078407815.0847910425818.639724430857226.9783855649434-0.0553329119557236
2179207847.4699230826318.859990769469766.46535794260910.162443485561265
2279607919.7846215109219.662632499924316.5944784474960.632082260106013
2380407906.5996985335719.2358713927023147.941231845765-0.388443017601471
2477607893.3036056642318.9836796133283-118.82602099893-0.385762740912468
2574607740.5488195625219.8118513591137-202.184091899956-2.09858997183996
2675007736.9989247216519.6599677058793-226.734759504714-0.275272922295739
2775407719.4403473425918.9875100082979-164.020968858926-0.419273455017721
2869807381.6548892405110.840485382015-255.966095431887-3.99817986326413
2974207314.161464356519.06153315097784138.367547762919-0.892565715596872
3075607301.791001641428.62251177958385267.295865071549-0.248370103293252
3167807212.80191254166.86743505249588-390.814047312128-1.14341386385595
3274207275.729646744857.75985681110268119.9584267531680.66035471501221
3376607416.529177447619.6582468113974185.5295336706341.57098554864454
3478607592.666272774911.7547160478503194.6635082595011.9673085996377
3572807448.4720299203810.1464411111577-100.272749969227-1.84334292396024
3676207496.7324034292310.4183845837526106.5431223572710.451514250498519
3775407576.6318853519510.7169451992005-67.29208568184180.82764592951638
3873207543.6980863897110.3506920953255-204.747095158127-0.512412551564904
3975007505.793170418519.6674630984139814.5918818696106-0.554591913951016
4071807457.243395120328.63412236802466-252.965145112522-0.664367461845148
4174407385.472427657137.1293493011819388.2119014597032-0.92343414493611
4276207353.040015147066.41847026893772283.725919490147-0.459065421562352
4372807488.997549441698.55435812774168-264.4786505784051.51575531474679
4472407417.676260515947.36764487060911-143.218810201854-0.939401454102133
4576607454.348407002057.75588181915723192.9568376365970.345487369956446
4677807485.51084876258.02718900022175284.3263227469170.276179972606961
4776007584.004117321158.91442101671826-23.34177241948931.06780430922303
4874807537.970873897358.46733191453938-34.0413800534862-0.649122812273139
4974207501.475366509628.12854083265714-61.8953943948629-0.531052013730608
5072607468.658513513457.73733789220514-190.98722614477-0.479835836765299
5176407505.005393882328.09962823135802122.8211573732590.331608343525278
5275407603.002723602519.45446173489338-100.9217628752421.03654696847699
5378607684.3999544575510.6141750646541145.2367568885040.831482670688985
5482407821.699666116512.6399488585782364.4966283432541.47314157404869
5574607802.1183105574312.1523393618521-328.334736679259-0.376918267900197
5675607778.7836223837211.6579575180489-203.517208490047-0.416818577161215
5780207807.1322622539811.8682893025445205.661766947720.196461317318107
5882807896.7717547175412.7429045665128349.5848080129420.916175833535683
5981808012.2943638150813.7686209820757123.1939481202961.21115801481516
6081008072.0164630643114.18578135581678.07208524513960.541560266545183
6178408026.6989076491613.6487940492428-160.950802061268-0.700303013264788
6277208001.6747180678613.2543873605254-265.032872195068-0.452987875514809
6378607935.3255613967112.2988480378955-41.3444574091881-0.926656914604553
6477007904.2365257493311.7097143544252-185.818865114422-0.50331690868309
6578807864.6932913125610.969838696479437.0517087621656-0.595048904502863
6679607758.091130228249.26212011698139251.962649315636-1.36995230187272
6778607898.282796368911.0989999113265-94.28910498346331.53179466334626
6880208055.4480645715413.0244621860294-98.18845035792551.71411870659334
6982408103.7626790587613.4540792997722121.0362635025510.4148548081253
7082608071.1059424234312.9397441167473208.788330224265-0.542461217859752
7180608026.9887637010812.353174102421857.6482567040977-0.671390973266106
7279807988.2170308806411.854124820441313.8599538428931-0.601459327057543
7376007889.2881278920410.7652991623764-241.514844773298-1.30158680953234
7475607832.9800835223210.0568757701087-244.159688861347-0.785644503082788
7572607620.92582808737.46536306737524-265.947975158329-2.59200230211564
7676207642.900313016257.64959781241234-29.08236362493570.168935972833158
7779007720.298037410148.57960792796224150.0042492084190.812311567622392
7880207791.623976517179.42518676362607201.6082957261420.732341879297952
7975807795.187224677519.3478783163995-212.678766896911-0.0686023817903849
8074607716.486793879158.23793987007934-218.698354258154-1.03270093476787
8180607771.944255326568.79877760021361267.7471210607510.554571028601344
8280607793.557479418888.94156437049883260.9241722321780.150593730666264
8378007759.759379154358.4909340390869358.6567285182545-0.502356991560467
8476207669.46392777517.48084194523114-6.90148344511724-1.16080279076898
8575207662.200504596397.32896853541248-135.854914381636-0.173072660263202
8675407667.71442668097.30941576624382-126.93512487692-0.0212630733763385
8777607811.416500879038.87431313311705-109.8010473642261.59414305774689
8876207797.666532246078.59938263898336-168.004343939943-0.26404097312684
8978207763.61366646228.0617839549115874.5909171163576-0.497799801903333
9078807724.78083042117.46439882465434175.256323926303-0.548025765163537
9177207782.943797079398.10166988687383-84.64963307793830.593534474885548
9278607910.380088358499.55467036033925-101.5752396449361.39922714666678
9381807931.928031426599.69455555769358242.918813417210.140765227249469
9481607912.112050967259.3656127241392260.579912478124-0.346538197399954
9580607926.258918254579.41694488450692131.6838616257440.0561527310067672
9679807955.608029819199.6268367170561215.81677043865640.23403248266493
9778807995.787143535279.95034389182185-128.9205441563980.35845061019525
9876807962.907947070669.48366101033218-264.526014308061-0.501828579258473
9976607884.373657204318.48466198316093-186.670334491086-1.02977972527266
10075407803.050073756127.42493030681586-224.637852977428-1.04971328755881
10178007763.959511077126.8613923328125755.9265685184695-0.543671974429876
10279207773.608326469666.89546729344616145.1992526231210.0326052782254276
10376807799.193784544447.1220679633235-127.1994386489340.218877392378589
10478807872.955495328377.91240598844192-21.53953770071970.781249250966492
10580607863.56595829667.71333250883852203.863687681718-0.202988144630948
10680407838.103874404877.3435307786251216.152114384615-0.389366478663461
10777007744.082945040356.24218334972854-0.511394351654189-1.18978723128146
10878807774.090766724536.4971272680074195.69456572798230.278900189000167
10978207825.946451863196.9855035684476-25.43056676312860.53201011515849
11074207760.532781416446.19139349440473-309.465938220207-0.848423103315546
11178207820.91355108346.80188311992027-24.13727447150850.634423084355159
11276007827.172886973326.79560806384999-226.940599985638-0.00634784748339279
11376207740.163342163745.69027623705576-80.0151139046459-1.09746982490262
11478807734.942304296495.56079751187007149.729437704712-0.127719351378594
11576207751.02721633185.68504849674498-135.5369497797050.123281414742454
11678207780.142268601515.957535501200629.80816025570410.274665285664348
11777207679.079072925824.7388287622675586.8601773214496-1.25524547131253







Structural Time Series Model -- Extrapolation
tObservedLevelSeasonal
17920.32437363127595.22030895214325.104064679064
27543.146069568037561.16911377233-18.0230442042962
37623.351937673157527.1179185925296.2340190806334
47505.654597437717493.0667234127112.5878740249987
57104.532993063597459.0155282329-354.482535169311
67410.091347799597424.96433305309-14.8729852534988
77192.2571939167390.91313787328-198.655943957274
87245.408917241647356.86194269347-111.453025451824
97459.133424116047322.81074751366136.322676602383
107174.494131881237288.75955233385-114.265420452619
117376.529849569747254.70835715404121.821492415702
127340.339989660277220.65716197423119.682827686042
137511.710031473487186.60596679442325.104064679064
147134.531727410317152.55477161461-18.0230442042962
157214.737595515437118.503576434896.2340190806333
167097.040255279997084.4523812549912.5878740249986
176695.918650905877050.40118607518-354.482535169311
187001.477005641877016.34999089537-14.8729852534987

\begin{tabular}{lllllllll}
\hline
Structural Time Series Model -- Extrapolation \tabularnewline
t & Observed & Level & Seasonal \tabularnewline
1 & 7920.3243736312 & 7595.22030895214 & 325.104064679064 \tabularnewline
2 & 7543.14606956803 & 7561.16911377233 & -18.0230442042962 \tabularnewline
3 & 7623.35193767315 & 7527.11791859252 & 96.2340190806334 \tabularnewline
4 & 7505.65459743771 & 7493.06672341271 & 12.5878740249987 \tabularnewline
5 & 7104.53299306359 & 7459.0155282329 & -354.482535169311 \tabularnewline
6 & 7410.09134779959 & 7424.96433305309 & -14.8729852534988 \tabularnewline
7 & 7192.257193916 & 7390.91313787328 & -198.655943957274 \tabularnewline
8 & 7245.40891724164 & 7356.86194269347 & -111.453025451824 \tabularnewline
9 & 7459.13342411604 & 7322.81074751366 & 136.322676602383 \tabularnewline
10 & 7174.49413188123 & 7288.75955233385 & -114.265420452619 \tabularnewline
11 & 7376.52984956974 & 7254.70835715404 & 121.821492415702 \tabularnewline
12 & 7340.33998966027 & 7220.65716197423 & 119.682827686042 \tabularnewline
13 & 7511.71003147348 & 7186.60596679442 & 325.104064679064 \tabularnewline
14 & 7134.53172741031 & 7152.55477161461 & -18.0230442042962 \tabularnewline
15 & 7214.73759551543 & 7118.5035764348 & 96.2340190806333 \tabularnewline
16 & 7097.04025527999 & 7084.45238125499 & 12.5878740249986 \tabularnewline
17 & 6695.91865090587 & 7050.40118607518 & -354.482535169311 \tabularnewline
18 & 7001.47700564187 & 7016.34999089537 & -14.8729852534987 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300674&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]7920.3243736312[/C][C]7595.22030895214[/C][C]325.104064679064[/C][/ROW]
[ROW][C]2[/C][C]7543.14606956803[/C][C]7561.16911377233[/C][C]-18.0230442042962[/C][/ROW]
[ROW][C]3[/C][C]7623.35193767315[/C][C]7527.11791859252[/C][C]96.2340190806334[/C][/ROW]
[ROW][C]4[/C][C]7505.65459743771[/C][C]7493.06672341271[/C][C]12.5878740249987[/C][/ROW]
[ROW][C]5[/C][C]7104.53299306359[/C][C]7459.0155282329[/C][C]-354.482535169311[/C][/ROW]
[ROW][C]6[/C][C]7410.09134779959[/C][C]7424.96433305309[/C][C]-14.8729852534988[/C][/ROW]
[ROW][C]7[/C][C]7192.257193916[/C][C]7390.91313787328[/C][C]-198.655943957274[/C][/ROW]
[ROW][C]8[/C][C]7245.40891724164[/C][C]7356.86194269347[/C][C]-111.453025451824[/C][/ROW]
[ROW][C]9[/C][C]7459.13342411604[/C][C]7322.81074751366[/C][C]136.322676602383[/C][/ROW]
[ROW][C]10[/C][C]7174.49413188123[/C][C]7288.75955233385[/C][C]-114.265420452619[/C][/ROW]
[ROW][C]11[/C][C]7376.52984956974[/C][C]7254.70835715404[/C][C]121.821492415702[/C][/ROW]
[ROW][C]12[/C][C]7340.33998966027[/C][C]7220.65716197423[/C][C]119.682827686042[/C][/ROW]
[ROW][C]13[/C][C]7511.71003147348[/C][C]7186.60596679442[/C][C]325.104064679064[/C][/ROW]
[ROW][C]14[/C][C]7134.53172741031[/C][C]7152.55477161461[/C][C]-18.0230442042962[/C][/ROW]
[ROW][C]15[/C][C]7214.73759551543[/C][C]7118.5035764348[/C][C]96.2340190806333[/C][/ROW]
[ROW][C]16[/C][C]7097.04025527999[/C][C]7084.45238125499[/C][C]12.5878740249986[/C][/ROW]
[ROW][C]17[/C][C]6695.91865090587[/C][C]7050.40118607518[/C][C]-354.482535169311[/C][/ROW]
[ROW][C]18[/C][C]7001.47700564187[/C][C]7016.34999089537[/C][C]-14.8729852534987[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=300674&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300674&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
17920.32437363127595.22030895214325.104064679064
27543.146069568037561.16911377233-18.0230442042962
37623.351937673157527.1179185925296.2340190806334
47505.654597437717493.0667234127112.5878740249987
57104.532993063597459.0155282329-354.482535169311
67410.091347799597424.96433305309-14.8729852534988
77192.2571939167390.91313787328-198.655943957274
87245.408917241647356.86194269347-111.453025451824
97459.133424116047322.81074751366136.322676602383
107174.494131881237288.75955233385-114.265420452619
117376.529849569747254.70835715404121.821492415702
127340.339989660277220.65716197423119.682827686042
137511.710031473487186.60596679442325.104064679064
147134.531727410317152.55477161461-18.0230442042962
157214.737595515437118.503576434896.2340190806333
167097.040255279997084.4523812549912.5878740249986
176695.918650905877050.40118607518-354.482535169311
187001.477005641877016.34999089537-14.8729852534987



Parameters (Session):
par4 = 12 ;
Parameters (R input):
par1 = 12 ; par2 = 18 ; par3 = BFGS ;
R code (references can be found in the software module):
require('stsm')
require('stsm.class')
require('KFKSDS')
par1 <- as.numeric(par1)
par2 <- as.numeric(par2)
nx <- length(x)
x <- ts(x,frequency=par1)
m <- StructTS(x,type='BSM')
print(m$coef)
print(m$fitted)
print(m$resid)
mylevel <- as.numeric(m$fitted[,'level'])
myslope <- as.numeric(m$fitted[,'slope'])
myseas <- as.numeric(m$fitted[,'sea'])
myresid <- as.numeric(m$resid)
myfit <- mylevel+myseas
mm <- stsm.model(model = 'BSM', y = x, transPars = 'StructTS')
fit2 <- stsmFit(mm, stsm.method = 'maxlik.td.optim', method = par3, KF.args = list(P0cov = TRUE))
(fit2.comps <- tsSmooth(fit2, P0cov = FALSE)$states)
m2 <- set.pars(mm, pmax(fit2$par, .Machine$double.eps))
(ss <- char2numeric(m2))
(pred <- predict(ss, x, n.ahead = par2))
mylagmax <- nx/2
bitmap(file='test2.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(x),lag.max = mylagmax,main='Observed')
acf(mylevel,na.action=na.pass,lag.max = mylagmax,main='Level')
acf(myseas,na.action=na.pass,lag.max = mylagmax,main='Seasonal')
acf(myresid,na.action=na.pass,lag.max = mylagmax,main='Standardized Residals')
par(op)
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
spectrum(as.numeric(x),main='Observed')
spectrum(mylevel,main='Level')
spectrum(myseas,main='Seasonal')
spectrum(myresid,main='Standardized Residals')
par(op)
dev.off()
bitmap(file='test4.png')
op <- par(mfrow = c(2,2))
cpgram(as.numeric(x),main='Observed')
cpgram(mylevel,main='Level')
cpgram(myseas,main='Seasonal')
cpgram(myresid,main='Standardized Residals')
par(op)
dev.off()
bitmap(file='test1.png')
plot(as.numeric(m$resid),main='Standardized Residuals',ylab='Residuals',xlab='time',type='b')
grid()
dev.off()
bitmap(file='test5.png')
op <- par(mfrow = c(2,2))
hist(m$resid,main='Residual Histogram')
plot(density(m$resid),main='Residual Kernel Density')
qqnorm(m$resid,main='Residual Normal QQ Plot')
qqline(m$resid)
plot(m$resid^2, myfit^2,main='Sq.Resid vs. Sq.Fit',xlab='Squared residuals',ylab='Squared Fit')
par(op)
dev.off()
bitmap(file='test6.png')
par(mfrow = c(3,1), mar = c(3,3,3,3))
plot(cbind(x, pred$pred), type = 'n', plot.type = 'single', ylab = '')
lines(x)
polygon(c(time(pred$pred), rev(time(pred$pred))), c(pred$pred + 2 * pred$se, rev(pred$pred)), col = 'gray85', border = NA)
polygon(c(time(pred$pred), rev(time(pred$pred))), c(pred$pred - 2 * pred$se, rev(pred$pred)), col = ' gray85', border = NA)
lines(pred$pred, col = 'blue', lwd = 1.5)
mtext(text = 'forecasts of the observed series', side = 3, adj = 0)
plot(cbind(x, pred$a[,1]), type = 'n', plot.type = 'single', ylab = '')
lines(x)
polygon(c(time(pred$a[,1]), rev(time(pred$a[,1]))), c(pred$a[,1] + 2 * sqrt(pred$P[,1]), rev(pred$a[,1])), col = 'gray85', border = NA)
polygon(c(time(pred$a[,1]), rev(time(pred$a[,1]))), c(pred$a[,1] - 2 * sqrt(pred$P[,1]), rev(pred$a[,1])), col = ' gray85', border = NA)
lines(pred$a[,1], col = 'blue', lwd = 1.5)
mtext(text = 'forecasts of the level component', side = 3, adj = 0)
plot(cbind(fit2.comps[,3], pred$a[,3]), type = 'n', plot.type = 'single', ylab = '')
lines(fit2.comps[,3])
polygon(c(time(pred$a[,3]), rev(time(pred$a[,3]))), c(pred$a[,3] + 2 * sqrt(pred$P[,3]), rev(pred$a[,3])), col = 'gray85', border = NA)
polygon(c(time(pred$a[,3]), rev(time(pred$a[,3]))), c(pred$a[,3] - 2 * sqrt(pred$P[,3]), rev(pred$a[,3])), col = ' gray85', border = NA)
lines(pred$a[,3], col = 'blue', lwd = 1.5)
mtext(text = 'forecasts of the seasonal component', side = 3, adj = 0)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Structural Time Series Model -- Interpolation',6,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Observed',header=TRUE)
a<-table.element(a,'Level',header=TRUE)
a<-table.element(a,'Slope',header=TRUE)
a<-table.element(a,'Seasonal',header=TRUE)
a<-table.element(a,'Stand. Residuals',header=TRUE)
a<-table.row.end(a)
for (i in 1:nx) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
a<-table.element(a,mylevel[i])
a<-table.element(a,myslope[i])
a<-table.element(a,myseas[i])
a<-table.element(a,myresid[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Structural Time Series Model -- Extrapolation',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Observed',header=TRUE)
a<-table.element(a,'Level',header=TRUE)
a<-table.element(a,'Seasonal',header=TRUE)
a<-table.row.end(a)
for (i in 1:par2) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,pred$pred[i])
a<-table.element(a,pred$a[i,1])
a<-table.element(a,pred$a[i,3])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable1.tab')