Free Statistics

of Irreproducible Research!

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 computationWed, 07 Dec 2016 11:21:11 +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/07/t1481106108r3uohmu840f6od5.htm/, Retrieved Tue, 07 May 2024 11:50:05 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=297969, Retrieved Tue, 07 May 2024 11:50:05 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact110
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Structural Time Series Models] [Forecasts met str...] [2016-12-07 10:21:11] [6b2845a830bced35782aaf33b6e68e42] [Current]
Feedback Forum

Post a new message
Dataseries X:
2620
2940
3080
3120
2420
2930
2780
2890
3000
3380
3460
2810
3530
3590
3840
3520
2820
3310
2870
3340
3660
3650
3670
3050
3770
3480
3780
2750
3600
3550
2750
3480
3870
3640
3340
3030
3850
3400
3450
3000
3190
4100
2960
3640
4210
4040
3470
3380
4490
3670
3650
3520
3470
3570
3440
3580
4120
4370
3250
3260
3610
3600
3620
3020
3240
3360
3450
3640
3690
3870
3810
3430
3910
3800
4140
3350
3360
3310
2850
3630
4340
4260
3690
2990
3620
3590
3940
2970
3470
4310
3060
3480
4190
3470
2650
2620
3620
3090
3620
2820
3060
3600
2940
3550
4590
3120
2800
3380
3490
2940
3500
2980
3040
4160
3110
3890




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=297969&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=297969&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=297969&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
126202620000
229402716.501174131748.9446702768716478.83387837721271.02622740550893
330802865.6037864310223.145566596721874.52569495457421.1147612068019
431202974.4385175601730.26781310915153.30907916941690.726580125112331
524202814.2482863208817.4430947812103-170.136902861429-1.72897000994287
629302835.2408461695817.642750275077190.33597516905190.0336651642276232
727802825.3079920621416.2979807566184-9.71285680671569-0.268688684519148
828902848.0381862818816.578827091039333.47388508515470.0637416486241433
930002901.4600246070518.055097821829349.22360028505240.369116866992025
1033803057.6852248186623.2271062368494135.5859293652451.39445646708407
1134603205.3943081439827.634601500559285.24246485326791.26275665635124
1228103113.6012949364323.600362534463-140.312874471919-1.21602134135605
1335303263.488092537814.631618698703454.22853154691981.70071745685844
1435903394.5019668425916.928433484627351.45556776513211.14371684061124
1538403550.6085505609522.424586618118137.4939617187531.24900187470765
1635203540.1760303125221.118012294685216.7181449750405-0.303760472688218
1728203391.210543817515.0977589851242-370.313774559893-1.64009496773006
1833103325.2982674653212.598132450367984.0182900911348-0.804875570925124
1928703198.775510825278.80099920921025-154.192679389335-1.40798095652894
2033403222.188360232619.1625716998432199.21432673742120.149530715164326
2136603358.5197590425712.0802961752206138.2102199020551.3102595899176
2236503446.0255616101313.7022824750557106.5684723172910.780596747512389
2336703498.852924492714.4673927294803120.3325561626480.406459716397593
2430503456.6418222759813.6953593813542-332.049849837511-0.593891414495109
2537703545.0861197437912.6144425065753119.2938602335830.849263630899773
2634803550.8426230244812.5466771148126-62.0721581589064-0.0709216945162183
2737803573.03011133912.7706248747142195.5537076175420.09394042523061
2827503316.893671215155.65101121707851-250.795119582859-2.61735307698987
2936003447.290385972868.822267243066463.040628103760811.23726677614643
3035503454.372673302258.7820577748352497.7618345141436-0.0175827714804619
3127503320.573060384825.81420760695039-392.702104448064-1.46060658002219
3234803344.102584278086.14938438437112113.5447786103960.183127582418496
3338703467.648257486958.18828846320705253.0901771303761.22075350509099
3436403514.559281952598.8002399813075975.92510305399880.404323464865501
3533403445.451432432657.75487399968854-5.22479134182726-0.816626982411312
3630303428.382284047627.5446215851174-366.095182087703-0.262255053018887
3738503499.354852659517.47625442928646265.9297882463780.687935653251272
3834003492.153772877917.35917886201672-73.3503456130376-0.153324602369285
3934503394.63836943865.67965774437961183.945738532681-1.05823394673419
4030003361.204456244834.92310665718161-313.860113388059-0.391735024179826
4131903304.382846370033.7105444204185-39.0952944007216-0.623360593233256
4241003467.190657104616.66472933305757436.2531040739561.62497260589828
4329603471.660853900476.62722418460551-508.916623192878-0.0226422734917813
4436403511.53090565767.1461072835705586.50971093183480.345574085313747
4542103642.667333157128.90310448444914409.7491367743861.2957664219167
4640403740.579479429110.0216227120616185.6791618954640.933757633547003
4734703691.479084944759.40894334068009-145.522772849589-0.622391448183039
4833803713.503741661169.49791402140516-349.8309648576170.133521617989057
4944903847.756189988739.92533885934233479.2801279896581.33124073906929
5036703828.469225363559.70692267168627-121.087146085956-0.306124444210763
5136503729.768271094128.372235572584255.4482058836595-1.11313879440327
5235203747.805895363678.51742540766283-239.7257168332990.0985119987148563
5334703715.021710908827.86585293181979-193.996772957412-0.422233851109841
5435703563.289976548545.41315858096218205.399281409532-1.64335318393035
5534403660.17927197686.73203124892152-335.0461448764510.948896888667179
5635803654.625343202186.5691542082589-59.0820696526177-0.12822083275322
5741203684.792085049186.85190068656797405.1755417298130.247397773692485
5843703818.68724979068.1885500421744388.8453842619491.33644354913746
5932503739.1985994767.42356813816336-376.58159896176-0.925007883038435
6032603715.125717096777.21555218049539-414.484875614183-0.333368642080006
6136103550.870949703876.3395151529434280.978058085717-1.81846356143222
6236003556.267629589126.3327309718977444.9381672213822-0.00989857657520171
6336203556.574749837976.2713909222502571.0125300555152-0.0624830191262173
6430203466.86072098525.09794954839103-327.042084610732-0.989445099711979
6532403429.083327187384.53846252570232-135.584393312009-0.442341732658008
6633603367.324776565073.6785684860391975.7700011908009-0.687028068851475
6734503472.383110039984.93131593651044-150.2242171687971.05619580179463
6836403556.752734687665.84135527675343-17.51304720582310.831577642909484
6936903514.110859276115.33817138350055237.691744514686-0.509465199153436
7038703485.435192565585.02722687618459428.100041381373-0.358453214835319
7138103653.618370568936.29192149048322-53.16621656767991.72337319352256
7234303702.917488817756.5664475739979-328.3068550544240.45511363479498
7339103692.992415447536.47213721078374238.252692047319-0.174493193069887
7438003705.773812779656.5157684987976886.15632710147940.0663442878453578
7541403790.76800966537.20766545844615249.8348343069880.818807774148681
7633503769.694635831556.91593744260095-384.101338897518-0.293768808638714
7733603695.736937116966.02167741408079-234.067461975586-0.840016784168896
7833103585.888642395864.73232588075184-129.843029153418-1.20685333307981
7928503429.034789232422.998689435634-374.493338764733-1.68945570264585
8036303460.52462394763.28460942598802133.2474366713030.298995682786195
8143403637.552214684934.87526874450153480.6331339097621.82897137160645
8242603742.03338167145.68708680558143390.3749600784021.05105284322748
8336903767.890121197495.83021909540494-103.7954524702530.21321188277401
8429903657.774678067515.11233337708337-518.605727351704-1.22691752388801
8536203576.984317604414.60789997124545153.473183418853-0.908321297566487
8635903554.809663754894.4307877402911869.4665369271811-0.282044357791537
8739403575.882390674764.56160139887763342.9556382752520.174362178357902
8829703500.985037476273.85064850197087-430.403884047923-0.829837119065881
8934703523.086966301664.02519287609204-76.16156203186140.190534523442408
9043103751.152391416896.19592521510827275.1652666599722.34295377110682
9130603717.660742696965.82178188566249-607.255662962032-0.4161809831219
9234803651.569245174475.18199343720354-79.921394660228-0.756266462276978
9341903673.646353736475.32041707836139494.7528366321320.178116985507508
9434703518.655047452084.13486313589264156.86148606889-1.69338275191279
9526503277.275874190942.51410864485993-311.890543396745-2.59691927696081
9626203193.203953694181.99590712886799-461.859570712896-0.916388756814572
9736203246.955107388272.29695008608425306.5388024495980.547296303886436
9830903194.576778125361.9525425712827-34.5449839712768-0.576568064383284
9936203202.753918340141.99698077471387409.3075963197050.0654153250591785
10028203229.394460749212.19229842352656-440.7208592481750.258381540839813
10130603238.356844711412.2492742373072-186.9533645901060.0709499467710491
10236003251.360877449722.3412396656277334.9705540373710.112834629767115
10329403315.729197540192.86083055513827-454.7310163087680.652048354320624
10435503396.061818204753.4784434983629355.00674443716890.816183862149581
10545903553.385132880694.61955573544274839.6561030920481.62398912660825
10631203383.389251865933.43356451591711-39.3577887300049-1.84612596676353
10728003282.022032251272.78446761490732-347.353079733799-1.10916480997281
10833803420.705929413863.5673277182824-215.45437138351.43877032974545
10934903371.894536687833.270752967601185.411960754382-0.554123061611508
11029403267.370906627932.62543298481814-189.169392559257-1.13814948937981
11135003213.869875301772.25701319571826357.874777853898-0.591212595115354
11229803265.462733330252.60899065352889-348.379010565250.518810253755774
11330403270.472305830652.62703108355058-233.5308906554980.0252334263123886
11441603432.979387402893.84842051965197523.2065070976781.68177743623022
11531103506.788955123734.37461672403314-486.1124544049230.7369735030883
11638903618.691529919335.15017148690911133.748594114111.13458715526565

\begin{tabular}{lllllllll}
\hline
Structural Time Series Model -- Interpolation \tabularnewline
t & Observed & Level & Slope & Seasonal & Stand. Residuals \tabularnewline
1 & 2620 & 2620 & 0 & 0 & 0 \tabularnewline
2 & 2940 & 2716.50117413174 & 8.94467027687164 & 78.8338783772127 & 1.02622740550893 \tabularnewline
3 & 3080 & 2865.60378643102 & 23.1455665967218 & 74.5256949545742 & 1.1147612068019 \tabularnewline
4 & 3120 & 2974.43851756017 & 30.267813109151 & 53.3090791694169 & 0.726580125112331 \tabularnewline
5 & 2420 & 2814.24828632088 & 17.4430947812103 & -170.136902861429 & -1.72897000994287 \tabularnewline
6 & 2930 & 2835.24084616958 & 17.6427502750771 & 90.3359751690519 & 0.0336651642276232 \tabularnewline
7 & 2780 & 2825.30799206214 & 16.2979807566184 & -9.71285680671569 & -0.268688684519148 \tabularnewline
8 & 2890 & 2848.03818628188 & 16.5788270910393 & 33.4738850851547 & 0.0637416486241433 \tabularnewline
9 & 3000 & 2901.46002460705 & 18.0550978218293 & 49.2236002850524 & 0.369116866992025 \tabularnewline
10 & 3380 & 3057.68522481866 & 23.2271062368494 & 135.585929365245 & 1.39445646708407 \tabularnewline
11 & 3460 & 3205.39430814398 & 27.6346015005592 & 85.2424648532679 & 1.26275665635124 \tabularnewline
12 & 2810 & 3113.60129493643 & 23.600362534463 & -140.312874471919 & -1.21602134135605 \tabularnewline
13 & 3530 & 3263.4880925378 & 14.6316186987034 & 54.2285315469198 & 1.70071745685844 \tabularnewline
14 & 3590 & 3394.50196684259 & 16.9284334846273 & 51.4555677651321 & 1.14371684061124 \tabularnewline
15 & 3840 & 3550.60855056095 & 22.424586618118 & 137.493961718753 & 1.24900187470765 \tabularnewline
16 & 3520 & 3540.17603031252 & 21.1180122946852 & 16.7181449750405 & -0.303760472688218 \tabularnewline
17 & 2820 & 3391.2105438175 & 15.0977589851242 & -370.313774559893 & -1.64009496773006 \tabularnewline
18 & 3310 & 3325.29826746532 & 12.5981324503679 & 84.0182900911348 & -0.804875570925124 \tabularnewline
19 & 2870 & 3198.77551082527 & 8.80099920921025 & -154.192679389335 & -1.40798095652894 \tabularnewline
20 & 3340 & 3222.18836023261 & 9.16257169984321 & 99.2143267374212 & 0.149530715164326 \tabularnewline
21 & 3660 & 3358.51975904257 & 12.0802961752206 & 138.210219902055 & 1.3102595899176 \tabularnewline
22 & 3650 & 3446.02556161013 & 13.7022824750557 & 106.568472317291 & 0.780596747512389 \tabularnewline
23 & 3670 & 3498.8529244927 & 14.4673927294803 & 120.332556162648 & 0.406459716397593 \tabularnewline
24 & 3050 & 3456.64182227598 & 13.6953593813542 & -332.049849837511 & -0.593891414495109 \tabularnewline
25 & 3770 & 3545.08611974379 & 12.6144425065753 & 119.293860233583 & 0.849263630899773 \tabularnewline
26 & 3480 & 3550.84262302448 & 12.5466771148126 & -62.0721581589064 & -0.0709216945162183 \tabularnewline
27 & 3780 & 3573.030111339 & 12.7706248747142 & 195.553707617542 & 0.09394042523061 \tabularnewline
28 & 2750 & 3316.89367121515 & 5.65101121707851 & -250.795119582859 & -2.61735307698987 \tabularnewline
29 & 3600 & 3447.29038597286 & 8.82226724306646 & 3.04062810376081 & 1.23726677614643 \tabularnewline
30 & 3550 & 3454.37267330225 & 8.78205777483524 & 97.7618345141436 & -0.0175827714804619 \tabularnewline
31 & 2750 & 3320.57306038482 & 5.81420760695039 & -392.702104448064 & -1.46060658002219 \tabularnewline
32 & 3480 & 3344.10258427808 & 6.14938438437112 & 113.544778610396 & 0.183127582418496 \tabularnewline
33 & 3870 & 3467.64825748695 & 8.18828846320705 & 253.090177130376 & 1.22075350509099 \tabularnewline
34 & 3640 & 3514.55928195259 & 8.80023998130759 & 75.9251030539988 & 0.404323464865501 \tabularnewline
35 & 3340 & 3445.45143243265 & 7.75487399968854 & -5.22479134182726 & -0.816626982411312 \tabularnewline
36 & 3030 & 3428.38228404762 & 7.5446215851174 & -366.095182087703 & -0.262255053018887 \tabularnewline
37 & 3850 & 3499.35485265951 & 7.47625442928646 & 265.929788246378 & 0.687935653251272 \tabularnewline
38 & 3400 & 3492.15377287791 & 7.35917886201672 & -73.3503456130376 & -0.153324602369285 \tabularnewline
39 & 3450 & 3394.6383694386 & 5.67965774437961 & 183.945738532681 & -1.05823394673419 \tabularnewline
40 & 3000 & 3361.20445624483 & 4.92310665718161 & -313.860113388059 & -0.391735024179826 \tabularnewline
41 & 3190 & 3304.38284637003 & 3.7105444204185 & -39.0952944007216 & -0.623360593233256 \tabularnewline
42 & 4100 & 3467.19065710461 & 6.66472933305757 & 436.253104073956 & 1.62497260589828 \tabularnewline
43 & 2960 & 3471.66085390047 & 6.62722418460551 & -508.916623192878 & -0.0226422734917813 \tabularnewline
44 & 3640 & 3511.5309056576 & 7.14610728357055 & 86.5097109318348 & 0.345574085313747 \tabularnewline
45 & 4210 & 3642.66733315712 & 8.90310448444914 & 409.749136774386 & 1.2957664219167 \tabularnewline
46 & 4040 & 3740.5794794291 & 10.0216227120616 & 185.679161895464 & 0.933757633547003 \tabularnewline
47 & 3470 & 3691.47908494475 & 9.40894334068009 & -145.522772849589 & -0.622391448183039 \tabularnewline
48 & 3380 & 3713.50374166116 & 9.49791402140516 & -349.830964857617 & 0.133521617989057 \tabularnewline
49 & 4490 & 3847.75618998873 & 9.92533885934233 & 479.280127989658 & 1.33124073906929 \tabularnewline
50 & 3670 & 3828.46922536355 & 9.70692267168627 & -121.087146085956 & -0.306124444210763 \tabularnewline
51 & 3650 & 3729.76827109412 & 8.3722355725842 & 55.4482058836595 & -1.11313879440327 \tabularnewline
52 & 3520 & 3747.80589536367 & 8.51742540766283 & -239.725716833299 & 0.0985119987148563 \tabularnewline
53 & 3470 & 3715.02171090882 & 7.86585293181979 & -193.996772957412 & -0.422233851109841 \tabularnewline
54 & 3570 & 3563.28997654854 & 5.41315858096218 & 205.399281409532 & -1.64335318393035 \tabularnewline
55 & 3440 & 3660.1792719768 & 6.73203124892152 & -335.046144876451 & 0.948896888667179 \tabularnewline
56 & 3580 & 3654.62534320218 & 6.5691542082589 & -59.0820696526177 & -0.12822083275322 \tabularnewline
57 & 4120 & 3684.79208504918 & 6.85190068656797 & 405.175541729813 & 0.247397773692485 \tabularnewline
58 & 4370 & 3818.6872497906 & 8.1885500421744 & 388.845384261949 & 1.33644354913746 \tabularnewline
59 & 3250 & 3739.198599476 & 7.42356813816336 & -376.58159896176 & -0.925007883038435 \tabularnewline
60 & 3260 & 3715.12571709677 & 7.21555218049539 & -414.484875614183 & -0.333368642080006 \tabularnewline
61 & 3610 & 3550.87094970387 & 6.3395151529434 & 280.978058085717 & -1.81846356143222 \tabularnewline
62 & 3600 & 3556.26762958912 & 6.33273097189774 & 44.9381672213822 & -0.00989857657520171 \tabularnewline
63 & 3620 & 3556.57474983797 & 6.27139092225025 & 71.0125300555152 & -0.0624830191262173 \tabularnewline
64 & 3020 & 3466.8607209852 & 5.09794954839103 & -327.042084610732 & -0.989445099711979 \tabularnewline
65 & 3240 & 3429.08332718738 & 4.53846252570232 & -135.584393312009 & -0.442341732658008 \tabularnewline
66 & 3360 & 3367.32477656507 & 3.67856848603919 & 75.7700011908009 & -0.687028068851475 \tabularnewline
67 & 3450 & 3472.38311003998 & 4.93131593651044 & -150.224217168797 & 1.05619580179463 \tabularnewline
68 & 3640 & 3556.75273468766 & 5.84135527675343 & -17.5130472058231 & 0.831577642909484 \tabularnewline
69 & 3690 & 3514.11085927611 & 5.33817138350055 & 237.691744514686 & -0.509465199153436 \tabularnewline
70 & 3870 & 3485.43519256558 & 5.02722687618459 & 428.100041381373 & -0.358453214835319 \tabularnewline
71 & 3810 & 3653.61837056893 & 6.29192149048322 & -53.1662165676799 & 1.72337319352256 \tabularnewline
72 & 3430 & 3702.91748881775 & 6.5664475739979 & -328.306855054424 & 0.45511363479498 \tabularnewline
73 & 3910 & 3692.99241544753 & 6.47213721078374 & 238.252692047319 & -0.174493193069887 \tabularnewline
74 & 3800 & 3705.77381277965 & 6.51576849879768 & 86.1563271014794 & 0.0663442878453578 \tabularnewline
75 & 4140 & 3790.7680096653 & 7.20766545844615 & 249.834834306988 & 0.818807774148681 \tabularnewline
76 & 3350 & 3769.69463583155 & 6.91593744260095 & -384.101338897518 & -0.293768808638714 \tabularnewline
77 & 3360 & 3695.73693711696 & 6.02167741408079 & -234.067461975586 & -0.840016784168896 \tabularnewline
78 & 3310 & 3585.88864239586 & 4.73232588075184 & -129.843029153418 & -1.20685333307981 \tabularnewline
79 & 2850 & 3429.03478923242 & 2.998689435634 & -374.493338764733 & -1.68945570264585 \tabularnewline
80 & 3630 & 3460.5246239476 & 3.28460942598802 & 133.247436671303 & 0.298995682786195 \tabularnewline
81 & 4340 & 3637.55221468493 & 4.87526874450153 & 480.633133909762 & 1.82897137160645 \tabularnewline
82 & 4260 & 3742.0333816714 & 5.68708680558143 & 390.374960078402 & 1.05105284322748 \tabularnewline
83 & 3690 & 3767.89012119749 & 5.83021909540494 & -103.795452470253 & 0.21321188277401 \tabularnewline
84 & 2990 & 3657.77467806751 & 5.11233337708337 & -518.605727351704 & -1.22691752388801 \tabularnewline
85 & 3620 & 3576.98431760441 & 4.60789997124545 & 153.473183418853 & -0.908321297566487 \tabularnewline
86 & 3590 & 3554.80966375489 & 4.43078774029118 & 69.4665369271811 & -0.282044357791537 \tabularnewline
87 & 3940 & 3575.88239067476 & 4.56160139887763 & 342.955638275252 & 0.174362178357902 \tabularnewline
88 & 2970 & 3500.98503747627 & 3.85064850197087 & -430.403884047923 & -0.829837119065881 \tabularnewline
89 & 3470 & 3523.08696630166 & 4.02519287609204 & -76.1615620318614 & 0.190534523442408 \tabularnewline
90 & 4310 & 3751.15239141689 & 6.19592521510827 & 275.165266659972 & 2.34295377110682 \tabularnewline
91 & 3060 & 3717.66074269696 & 5.82178188566249 & -607.255662962032 & -0.4161809831219 \tabularnewline
92 & 3480 & 3651.56924517447 & 5.18199343720354 & -79.921394660228 & -0.756266462276978 \tabularnewline
93 & 4190 & 3673.64635373647 & 5.32041707836139 & 494.752836632132 & 0.178116985507508 \tabularnewline
94 & 3470 & 3518.65504745208 & 4.13486313589264 & 156.86148606889 & -1.69338275191279 \tabularnewline
95 & 2650 & 3277.27587419094 & 2.51410864485993 & -311.890543396745 & -2.59691927696081 \tabularnewline
96 & 2620 & 3193.20395369418 & 1.99590712886799 & -461.859570712896 & -0.916388756814572 \tabularnewline
97 & 3620 & 3246.95510738827 & 2.29695008608425 & 306.538802449598 & 0.547296303886436 \tabularnewline
98 & 3090 & 3194.57677812536 & 1.9525425712827 & -34.5449839712768 & -0.576568064383284 \tabularnewline
99 & 3620 & 3202.75391834014 & 1.99698077471387 & 409.307596319705 & 0.0654153250591785 \tabularnewline
100 & 2820 & 3229.39446074921 & 2.19229842352656 & -440.720859248175 & 0.258381540839813 \tabularnewline
101 & 3060 & 3238.35684471141 & 2.2492742373072 & -186.953364590106 & 0.0709499467710491 \tabularnewline
102 & 3600 & 3251.36087744972 & 2.3412396656277 & 334.970554037371 & 0.112834629767115 \tabularnewline
103 & 2940 & 3315.72919754019 & 2.86083055513827 & -454.731016308768 & 0.652048354320624 \tabularnewline
104 & 3550 & 3396.06181820475 & 3.47844349836293 & 55.0067444371689 & 0.816183862149581 \tabularnewline
105 & 4590 & 3553.38513288069 & 4.61955573544274 & 839.656103092048 & 1.62398912660825 \tabularnewline
106 & 3120 & 3383.38925186593 & 3.43356451591711 & -39.3577887300049 & -1.84612596676353 \tabularnewline
107 & 2800 & 3282.02203225127 & 2.78446761490732 & -347.353079733799 & -1.10916480997281 \tabularnewline
108 & 3380 & 3420.70592941386 & 3.5673277182824 & -215.4543713835 & 1.43877032974545 \tabularnewline
109 & 3490 & 3371.89453668783 & 3.270752967601 & 185.411960754382 & -0.554123061611508 \tabularnewline
110 & 2940 & 3267.37090662793 & 2.62543298481814 & -189.169392559257 & -1.13814948937981 \tabularnewline
111 & 3500 & 3213.86987530177 & 2.25701319571826 & 357.874777853898 & -0.591212595115354 \tabularnewline
112 & 2980 & 3265.46273333025 & 2.60899065352889 & -348.37901056525 & 0.518810253755774 \tabularnewline
113 & 3040 & 3270.47230583065 & 2.62703108355058 & -233.530890655498 & 0.0252334263123886 \tabularnewline
114 & 4160 & 3432.97938740289 & 3.84842051965197 & 523.206507097678 & 1.68177743623022 \tabularnewline
115 & 3110 & 3506.78895512373 & 4.37461672403314 & -486.112454404923 & 0.7369735030883 \tabularnewline
116 & 3890 & 3618.69152991933 & 5.15017148690911 & 133.74859411411 & 1.13458715526565 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=297969&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]2620[/C][C]2620[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]2940[/C][C]2716.50117413174[/C][C]8.94467027687164[/C][C]78.8338783772127[/C][C]1.02622740550893[/C][/ROW]
[ROW][C]3[/C][C]3080[/C][C]2865.60378643102[/C][C]23.1455665967218[/C][C]74.5256949545742[/C][C]1.1147612068019[/C][/ROW]
[ROW][C]4[/C][C]3120[/C][C]2974.43851756017[/C][C]30.267813109151[/C][C]53.3090791694169[/C][C]0.726580125112331[/C][/ROW]
[ROW][C]5[/C][C]2420[/C][C]2814.24828632088[/C][C]17.4430947812103[/C][C]-170.136902861429[/C][C]-1.72897000994287[/C][/ROW]
[ROW][C]6[/C][C]2930[/C][C]2835.24084616958[/C][C]17.6427502750771[/C][C]90.3359751690519[/C][C]0.0336651642276232[/C][/ROW]
[ROW][C]7[/C][C]2780[/C][C]2825.30799206214[/C][C]16.2979807566184[/C][C]-9.71285680671569[/C][C]-0.268688684519148[/C][/ROW]
[ROW][C]8[/C][C]2890[/C][C]2848.03818628188[/C][C]16.5788270910393[/C][C]33.4738850851547[/C][C]0.0637416486241433[/C][/ROW]
[ROW][C]9[/C][C]3000[/C][C]2901.46002460705[/C][C]18.0550978218293[/C][C]49.2236002850524[/C][C]0.369116866992025[/C][/ROW]
[ROW][C]10[/C][C]3380[/C][C]3057.68522481866[/C][C]23.2271062368494[/C][C]135.585929365245[/C][C]1.39445646708407[/C][/ROW]
[ROW][C]11[/C][C]3460[/C][C]3205.39430814398[/C][C]27.6346015005592[/C][C]85.2424648532679[/C][C]1.26275665635124[/C][/ROW]
[ROW][C]12[/C][C]2810[/C][C]3113.60129493643[/C][C]23.600362534463[/C][C]-140.312874471919[/C][C]-1.21602134135605[/C][/ROW]
[ROW][C]13[/C][C]3530[/C][C]3263.4880925378[/C][C]14.6316186987034[/C][C]54.2285315469198[/C][C]1.70071745685844[/C][/ROW]
[ROW][C]14[/C][C]3590[/C][C]3394.50196684259[/C][C]16.9284334846273[/C][C]51.4555677651321[/C][C]1.14371684061124[/C][/ROW]
[ROW][C]15[/C][C]3840[/C][C]3550.60855056095[/C][C]22.424586618118[/C][C]137.493961718753[/C][C]1.24900187470765[/C][/ROW]
[ROW][C]16[/C][C]3520[/C][C]3540.17603031252[/C][C]21.1180122946852[/C][C]16.7181449750405[/C][C]-0.303760472688218[/C][/ROW]
[ROW][C]17[/C][C]2820[/C][C]3391.2105438175[/C][C]15.0977589851242[/C][C]-370.313774559893[/C][C]-1.64009496773006[/C][/ROW]
[ROW][C]18[/C][C]3310[/C][C]3325.29826746532[/C][C]12.5981324503679[/C][C]84.0182900911348[/C][C]-0.804875570925124[/C][/ROW]
[ROW][C]19[/C][C]2870[/C][C]3198.77551082527[/C][C]8.80099920921025[/C][C]-154.192679389335[/C][C]-1.40798095652894[/C][/ROW]
[ROW][C]20[/C][C]3340[/C][C]3222.18836023261[/C][C]9.16257169984321[/C][C]99.2143267374212[/C][C]0.149530715164326[/C][/ROW]
[ROW][C]21[/C][C]3660[/C][C]3358.51975904257[/C][C]12.0802961752206[/C][C]138.210219902055[/C][C]1.3102595899176[/C][/ROW]
[ROW][C]22[/C][C]3650[/C][C]3446.02556161013[/C][C]13.7022824750557[/C][C]106.568472317291[/C][C]0.780596747512389[/C][/ROW]
[ROW][C]23[/C][C]3670[/C][C]3498.8529244927[/C][C]14.4673927294803[/C][C]120.332556162648[/C][C]0.406459716397593[/C][/ROW]
[ROW][C]24[/C][C]3050[/C][C]3456.64182227598[/C][C]13.6953593813542[/C][C]-332.049849837511[/C][C]-0.593891414495109[/C][/ROW]
[ROW][C]25[/C][C]3770[/C][C]3545.08611974379[/C][C]12.6144425065753[/C][C]119.293860233583[/C][C]0.849263630899773[/C][/ROW]
[ROW][C]26[/C][C]3480[/C][C]3550.84262302448[/C][C]12.5466771148126[/C][C]-62.0721581589064[/C][C]-0.0709216945162183[/C][/ROW]
[ROW][C]27[/C][C]3780[/C][C]3573.030111339[/C][C]12.7706248747142[/C][C]195.553707617542[/C][C]0.09394042523061[/C][/ROW]
[ROW][C]28[/C][C]2750[/C][C]3316.89367121515[/C][C]5.65101121707851[/C][C]-250.795119582859[/C][C]-2.61735307698987[/C][/ROW]
[ROW][C]29[/C][C]3600[/C][C]3447.29038597286[/C][C]8.82226724306646[/C][C]3.04062810376081[/C][C]1.23726677614643[/C][/ROW]
[ROW][C]30[/C][C]3550[/C][C]3454.37267330225[/C][C]8.78205777483524[/C][C]97.7618345141436[/C][C]-0.0175827714804619[/C][/ROW]
[ROW][C]31[/C][C]2750[/C][C]3320.57306038482[/C][C]5.81420760695039[/C][C]-392.702104448064[/C][C]-1.46060658002219[/C][/ROW]
[ROW][C]32[/C][C]3480[/C][C]3344.10258427808[/C][C]6.14938438437112[/C][C]113.544778610396[/C][C]0.183127582418496[/C][/ROW]
[ROW][C]33[/C][C]3870[/C][C]3467.64825748695[/C][C]8.18828846320705[/C][C]253.090177130376[/C][C]1.22075350509099[/C][/ROW]
[ROW][C]34[/C][C]3640[/C][C]3514.55928195259[/C][C]8.80023998130759[/C][C]75.9251030539988[/C][C]0.404323464865501[/C][/ROW]
[ROW][C]35[/C][C]3340[/C][C]3445.45143243265[/C][C]7.75487399968854[/C][C]-5.22479134182726[/C][C]-0.816626982411312[/C][/ROW]
[ROW][C]36[/C][C]3030[/C][C]3428.38228404762[/C][C]7.5446215851174[/C][C]-366.095182087703[/C][C]-0.262255053018887[/C][/ROW]
[ROW][C]37[/C][C]3850[/C][C]3499.35485265951[/C][C]7.47625442928646[/C][C]265.929788246378[/C][C]0.687935653251272[/C][/ROW]
[ROW][C]38[/C][C]3400[/C][C]3492.15377287791[/C][C]7.35917886201672[/C][C]-73.3503456130376[/C][C]-0.153324602369285[/C][/ROW]
[ROW][C]39[/C][C]3450[/C][C]3394.6383694386[/C][C]5.67965774437961[/C][C]183.945738532681[/C][C]-1.05823394673419[/C][/ROW]
[ROW][C]40[/C][C]3000[/C][C]3361.20445624483[/C][C]4.92310665718161[/C][C]-313.860113388059[/C][C]-0.391735024179826[/C][/ROW]
[ROW][C]41[/C][C]3190[/C][C]3304.38284637003[/C][C]3.7105444204185[/C][C]-39.0952944007216[/C][C]-0.623360593233256[/C][/ROW]
[ROW][C]42[/C][C]4100[/C][C]3467.19065710461[/C][C]6.66472933305757[/C][C]436.253104073956[/C][C]1.62497260589828[/C][/ROW]
[ROW][C]43[/C][C]2960[/C][C]3471.66085390047[/C][C]6.62722418460551[/C][C]-508.916623192878[/C][C]-0.0226422734917813[/C][/ROW]
[ROW][C]44[/C][C]3640[/C][C]3511.5309056576[/C][C]7.14610728357055[/C][C]86.5097109318348[/C][C]0.345574085313747[/C][/ROW]
[ROW][C]45[/C][C]4210[/C][C]3642.66733315712[/C][C]8.90310448444914[/C][C]409.749136774386[/C][C]1.2957664219167[/C][/ROW]
[ROW][C]46[/C][C]4040[/C][C]3740.5794794291[/C][C]10.0216227120616[/C][C]185.679161895464[/C][C]0.933757633547003[/C][/ROW]
[ROW][C]47[/C][C]3470[/C][C]3691.47908494475[/C][C]9.40894334068009[/C][C]-145.522772849589[/C][C]-0.622391448183039[/C][/ROW]
[ROW][C]48[/C][C]3380[/C][C]3713.50374166116[/C][C]9.49791402140516[/C][C]-349.830964857617[/C][C]0.133521617989057[/C][/ROW]
[ROW][C]49[/C][C]4490[/C][C]3847.75618998873[/C][C]9.92533885934233[/C][C]479.280127989658[/C][C]1.33124073906929[/C][/ROW]
[ROW][C]50[/C][C]3670[/C][C]3828.46922536355[/C][C]9.70692267168627[/C][C]-121.087146085956[/C][C]-0.306124444210763[/C][/ROW]
[ROW][C]51[/C][C]3650[/C][C]3729.76827109412[/C][C]8.3722355725842[/C][C]55.4482058836595[/C][C]-1.11313879440327[/C][/ROW]
[ROW][C]52[/C][C]3520[/C][C]3747.80589536367[/C][C]8.51742540766283[/C][C]-239.725716833299[/C][C]0.0985119987148563[/C][/ROW]
[ROW][C]53[/C][C]3470[/C][C]3715.02171090882[/C][C]7.86585293181979[/C][C]-193.996772957412[/C][C]-0.422233851109841[/C][/ROW]
[ROW][C]54[/C][C]3570[/C][C]3563.28997654854[/C][C]5.41315858096218[/C][C]205.399281409532[/C][C]-1.64335318393035[/C][/ROW]
[ROW][C]55[/C][C]3440[/C][C]3660.1792719768[/C][C]6.73203124892152[/C][C]-335.046144876451[/C][C]0.948896888667179[/C][/ROW]
[ROW][C]56[/C][C]3580[/C][C]3654.62534320218[/C][C]6.5691542082589[/C][C]-59.0820696526177[/C][C]-0.12822083275322[/C][/ROW]
[ROW][C]57[/C][C]4120[/C][C]3684.79208504918[/C][C]6.85190068656797[/C][C]405.175541729813[/C][C]0.247397773692485[/C][/ROW]
[ROW][C]58[/C][C]4370[/C][C]3818.6872497906[/C][C]8.1885500421744[/C][C]388.845384261949[/C][C]1.33644354913746[/C][/ROW]
[ROW][C]59[/C][C]3250[/C][C]3739.198599476[/C][C]7.42356813816336[/C][C]-376.58159896176[/C][C]-0.925007883038435[/C][/ROW]
[ROW][C]60[/C][C]3260[/C][C]3715.12571709677[/C][C]7.21555218049539[/C][C]-414.484875614183[/C][C]-0.333368642080006[/C][/ROW]
[ROW][C]61[/C][C]3610[/C][C]3550.87094970387[/C][C]6.3395151529434[/C][C]280.978058085717[/C][C]-1.81846356143222[/C][/ROW]
[ROW][C]62[/C][C]3600[/C][C]3556.26762958912[/C][C]6.33273097189774[/C][C]44.9381672213822[/C][C]-0.00989857657520171[/C][/ROW]
[ROW][C]63[/C][C]3620[/C][C]3556.57474983797[/C][C]6.27139092225025[/C][C]71.0125300555152[/C][C]-0.0624830191262173[/C][/ROW]
[ROW][C]64[/C][C]3020[/C][C]3466.8607209852[/C][C]5.09794954839103[/C][C]-327.042084610732[/C][C]-0.989445099711979[/C][/ROW]
[ROW][C]65[/C][C]3240[/C][C]3429.08332718738[/C][C]4.53846252570232[/C][C]-135.584393312009[/C][C]-0.442341732658008[/C][/ROW]
[ROW][C]66[/C][C]3360[/C][C]3367.32477656507[/C][C]3.67856848603919[/C][C]75.7700011908009[/C][C]-0.687028068851475[/C][/ROW]
[ROW][C]67[/C][C]3450[/C][C]3472.38311003998[/C][C]4.93131593651044[/C][C]-150.224217168797[/C][C]1.05619580179463[/C][/ROW]
[ROW][C]68[/C][C]3640[/C][C]3556.75273468766[/C][C]5.84135527675343[/C][C]-17.5130472058231[/C][C]0.831577642909484[/C][/ROW]
[ROW][C]69[/C][C]3690[/C][C]3514.11085927611[/C][C]5.33817138350055[/C][C]237.691744514686[/C][C]-0.509465199153436[/C][/ROW]
[ROW][C]70[/C][C]3870[/C][C]3485.43519256558[/C][C]5.02722687618459[/C][C]428.100041381373[/C][C]-0.358453214835319[/C][/ROW]
[ROW][C]71[/C][C]3810[/C][C]3653.61837056893[/C][C]6.29192149048322[/C][C]-53.1662165676799[/C][C]1.72337319352256[/C][/ROW]
[ROW][C]72[/C][C]3430[/C][C]3702.91748881775[/C][C]6.5664475739979[/C][C]-328.306855054424[/C][C]0.45511363479498[/C][/ROW]
[ROW][C]73[/C][C]3910[/C][C]3692.99241544753[/C][C]6.47213721078374[/C][C]238.252692047319[/C][C]-0.174493193069887[/C][/ROW]
[ROW][C]74[/C][C]3800[/C][C]3705.77381277965[/C][C]6.51576849879768[/C][C]86.1563271014794[/C][C]0.0663442878453578[/C][/ROW]
[ROW][C]75[/C][C]4140[/C][C]3790.7680096653[/C][C]7.20766545844615[/C][C]249.834834306988[/C][C]0.818807774148681[/C][/ROW]
[ROW][C]76[/C][C]3350[/C][C]3769.69463583155[/C][C]6.91593744260095[/C][C]-384.101338897518[/C][C]-0.293768808638714[/C][/ROW]
[ROW][C]77[/C][C]3360[/C][C]3695.73693711696[/C][C]6.02167741408079[/C][C]-234.067461975586[/C][C]-0.840016784168896[/C][/ROW]
[ROW][C]78[/C][C]3310[/C][C]3585.88864239586[/C][C]4.73232588075184[/C][C]-129.843029153418[/C][C]-1.20685333307981[/C][/ROW]
[ROW][C]79[/C][C]2850[/C][C]3429.03478923242[/C][C]2.998689435634[/C][C]-374.493338764733[/C][C]-1.68945570264585[/C][/ROW]
[ROW][C]80[/C][C]3630[/C][C]3460.5246239476[/C][C]3.28460942598802[/C][C]133.247436671303[/C][C]0.298995682786195[/C][/ROW]
[ROW][C]81[/C][C]4340[/C][C]3637.55221468493[/C][C]4.87526874450153[/C][C]480.633133909762[/C][C]1.82897137160645[/C][/ROW]
[ROW][C]82[/C][C]4260[/C][C]3742.0333816714[/C][C]5.68708680558143[/C][C]390.374960078402[/C][C]1.05105284322748[/C][/ROW]
[ROW][C]83[/C][C]3690[/C][C]3767.89012119749[/C][C]5.83021909540494[/C][C]-103.795452470253[/C][C]0.21321188277401[/C][/ROW]
[ROW][C]84[/C][C]2990[/C][C]3657.77467806751[/C][C]5.11233337708337[/C][C]-518.605727351704[/C][C]-1.22691752388801[/C][/ROW]
[ROW][C]85[/C][C]3620[/C][C]3576.98431760441[/C][C]4.60789997124545[/C][C]153.473183418853[/C][C]-0.908321297566487[/C][/ROW]
[ROW][C]86[/C][C]3590[/C][C]3554.80966375489[/C][C]4.43078774029118[/C][C]69.4665369271811[/C][C]-0.282044357791537[/C][/ROW]
[ROW][C]87[/C][C]3940[/C][C]3575.88239067476[/C][C]4.56160139887763[/C][C]342.955638275252[/C][C]0.174362178357902[/C][/ROW]
[ROW][C]88[/C][C]2970[/C][C]3500.98503747627[/C][C]3.85064850197087[/C][C]-430.403884047923[/C][C]-0.829837119065881[/C][/ROW]
[ROW][C]89[/C][C]3470[/C][C]3523.08696630166[/C][C]4.02519287609204[/C][C]-76.1615620318614[/C][C]0.190534523442408[/C][/ROW]
[ROW][C]90[/C][C]4310[/C][C]3751.15239141689[/C][C]6.19592521510827[/C][C]275.165266659972[/C][C]2.34295377110682[/C][/ROW]
[ROW][C]91[/C][C]3060[/C][C]3717.66074269696[/C][C]5.82178188566249[/C][C]-607.255662962032[/C][C]-0.4161809831219[/C][/ROW]
[ROW][C]92[/C][C]3480[/C][C]3651.56924517447[/C][C]5.18199343720354[/C][C]-79.921394660228[/C][C]-0.756266462276978[/C][/ROW]
[ROW][C]93[/C][C]4190[/C][C]3673.64635373647[/C][C]5.32041707836139[/C][C]494.752836632132[/C][C]0.178116985507508[/C][/ROW]
[ROW][C]94[/C][C]3470[/C][C]3518.65504745208[/C][C]4.13486313589264[/C][C]156.86148606889[/C][C]-1.69338275191279[/C][/ROW]
[ROW][C]95[/C][C]2650[/C][C]3277.27587419094[/C][C]2.51410864485993[/C][C]-311.890543396745[/C][C]-2.59691927696081[/C][/ROW]
[ROW][C]96[/C][C]2620[/C][C]3193.20395369418[/C][C]1.99590712886799[/C][C]-461.859570712896[/C][C]-0.916388756814572[/C][/ROW]
[ROW][C]97[/C][C]3620[/C][C]3246.95510738827[/C][C]2.29695008608425[/C][C]306.538802449598[/C][C]0.547296303886436[/C][/ROW]
[ROW][C]98[/C][C]3090[/C][C]3194.57677812536[/C][C]1.9525425712827[/C][C]-34.5449839712768[/C][C]-0.576568064383284[/C][/ROW]
[ROW][C]99[/C][C]3620[/C][C]3202.75391834014[/C][C]1.99698077471387[/C][C]409.307596319705[/C][C]0.0654153250591785[/C][/ROW]
[ROW][C]100[/C][C]2820[/C][C]3229.39446074921[/C][C]2.19229842352656[/C][C]-440.720859248175[/C][C]0.258381540839813[/C][/ROW]
[ROW][C]101[/C][C]3060[/C][C]3238.35684471141[/C][C]2.2492742373072[/C][C]-186.953364590106[/C][C]0.0709499467710491[/C][/ROW]
[ROW][C]102[/C][C]3600[/C][C]3251.36087744972[/C][C]2.3412396656277[/C][C]334.970554037371[/C][C]0.112834629767115[/C][/ROW]
[ROW][C]103[/C][C]2940[/C][C]3315.72919754019[/C][C]2.86083055513827[/C][C]-454.731016308768[/C][C]0.652048354320624[/C][/ROW]
[ROW][C]104[/C][C]3550[/C][C]3396.06181820475[/C][C]3.47844349836293[/C][C]55.0067444371689[/C][C]0.816183862149581[/C][/ROW]
[ROW][C]105[/C][C]4590[/C][C]3553.38513288069[/C][C]4.61955573544274[/C][C]839.656103092048[/C][C]1.62398912660825[/C][/ROW]
[ROW][C]106[/C][C]3120[/C][C]3383.38925186593[/C][C]3.43356451591711[/C][C]-39.3577887300049[/C][C]-1.84612596676353[/C][/ROW]
[ROW][C]107[/C][C]2800[/C][C]3282.02203225127[/C][C]2.78446761490732[/C][C]-347.353079733799[/C][C]-1.10916480997281[/C][/ROW]
[ROW][C]108[/C][C]3380[/C][C]3420.70592941386[/C][C]3.5673277182824[/C][C]-215.4543713835[/C][C]1.43877032974545[/C][/ROW]
[ROW][C]109[/C][C]3490[/C][C]3371.89453668783[/C][C]3.270752967601[/C][C]185.411960754382[/C][C]-0.554123061611508[/C][/ROW]
[ROW][C]110[/C][C]2940[/C][C]3267.37090662793[/C][C]2.62543298481814[/C][C]-189.169392559257[/C][C]-1.13814948937981[/C][/ROW]
[ROW][C]111[/C][C]3500[/C][C]3213.86987530177[/C][C]2.25701319571826[/C][C]357.874777853898[/C][C]-0.591212595115354[/C][/ROW]
[ROW][C]112[/C][C]2980[/C][C]3265.46273333025[/C][C]2.60899065352889[/C][C]-348.37901056525[/C][C]0.518810253755774[/C][/ROW]
[ROW][C]113[/C][C]3040[/C][C]3270.47230583065[/C][C]2.62703108355058[/C][C]-233.530890655498[/C][C]0.0252334263123886[/C][/ROW]
[ROW][C]114[/C][C]4160[/C][C]3432.97938740289[/C][C]3.84842051965197[/C][C]523.206507097678[/C][C]1.68177743623022[/C][/ROW]
[ROW][C]115[/C][C]3110[/C][C]3506.78895512373[/C][C]4.37461672403314[/C][C]-486.112454404923[/C][C]0.7369735030883[/C][/ROW]
[ROW][C]116[/C][C]3890[/C][C]3618.69152991933[/C][C]5.15017148690911[/C][C]133.74859411411[/C][C]1.13458715526565[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=297969&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=297969&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
126202620000
229402716.501174131748.9446702768716478.83387837721271.02622740550893
330802865.6037864310223.145566596721874.52569495457421.1147612068019
431202974.4385175601730.26781310915153.30907916941690.726580125112331
524202814.2482863208817.4430947812103-170.136902861429-1.72897000994287
629302835.2408461695817.642750275077190.33597516905190.0336651642276232
727802825.3079920621416.2979807566184-9.71285680671569-0.268688684519148
828902848.0381862818816.578827091039333.47388508515470.0637416486241433
930002901.4600246070518.055097821829349.22360028505240.369116866992025
1033803057.6852248186623.2271062368494135.5859293652451.39445646708407
1134603205.3943081439827.634601500559285.24246485326791.26275665635124
1228103113.6012949364323.600362534463-140.312874471919-1.21602134135605
1335303263.488092537814.631618698703454.22853154691981.70071745685844
1435903394.5019668425916.928433484627351.45556776513211.14371684061124
1538403550.6085505609522.424586618118137.4939617187531.24900187470765
1635203540.1760303125221.118012294685216.7181449750405-0.303760472688218
1728203391.210543817515.0977589851242-370.313774559893-1.64009496773006
1833103325.2982674653212.598132450367984.0182900911348-0.804875570925124
1928703198.775510825278.80099920921025-154.192679389335-1.40798095652894
2033403222.188360232619.1625716998432199.21432673742120.149530715164326
2136603358.5197590425712.0802961752206138.2102199020551.3102595899176
2236503446.0255616101313.7022824750557106.5684723172910.780596747512389
2336703498.852924492714.4673927294803120.3325561626480.406459716397593
2430503456.6418222759813.6953593813542-332.049849837511-0.593891414495109
2537703545.0861197437912.6144425065753119.2938602335830.849263630899773
2634803550.8426230244812.5466771148126-62.0721581589064-0.0709216945162183
2737803573.03011133912.7706248747142195.5537076175420.09394042523061
2827503316.893671215155.65101121707851-250.795119582859-2.61735307698987
2936003447.290385972868.822267243066463.040628103760811.23726677614643
3035503454.372673302258.7820577748352497.7618345141436-0.0175827714804619
3127503320.573060384825.81420760695039-392.702104448064-1.46060658002219
3234803344.102584278086.14938438437112113.5447786103960.183127582418496
3338703467.648257486958.18828846320705253.0901771303761.22075350509099
3436403514.559281952598.8002399813075975.92510305399880.404323464865501
3533403445.451432432657.75487399968854-5.22479134182726-0.816626982411312
3630303428.382284047627.5446215851174-366.095182087703-0.262255053018887
3738503499.354852659517.47625442928646265.9297882463780.687935653251272
3834003492.153772877917.35917886201672-73.3503456130376-0.153324602369285
3934503394.63836943865.67965774437961183.945738532681-1.05823394673419
4030003361.204456244834.92310665718161-313.860113388059-0.391735024179826
4131903304.382846370033.7105444204185-39.0952944007216-0.623360593233256
4241003467.190657104616.66472933305757436.2531040739561.62497260589828
4329603471.660853900476.62722418460551-508.916623192878-0.0226422734917813
4436403511.53090565767.1461072835705586.50971093183480.345574085313747
4542103642.667333157128.90310448444914409.7491367743861.2957664219167
4640403740.579479429110.0216227120616185.6791618954640.933757633547003
4734703691.479084944759.40894334068009-145.522772849589-0.622391448183039
4833803713.503741661169.49791402140516-349.8309648576170.133521617989057
4944903847.756189988739.92533885934233479.2801279896581.33124073906929
5036703828.469225363559.70692267168627-121.087146085956-0.306124444210763
5136503729.768271094128.372235572584255.4482058836595-1.11313879440327
5235203747.805895363678.51742540766283-239.7257168332990.0985119987148563
5334703715.021710908827.86585293181979-193.996772957412-0.422233851109841
5435703563.289976548545.41315858096218205.399281409532-1.64335318393035
5534403660.17927197686.73203124892152-335.0461448764510.948896888667179
5635803654.625343202186.5691542082589-59.0820696526177-0.12822083275322
5741203684.792085049186.85190068656797405.1755417298130.247397773692485
5843703818.68724979068.1885500421744388.8453842619491.33644354913746
5932503739.1985994767.42356813816336-376.58159896176-0.925007883038435
6032603715.125717096777.21555218049539-414.484875614183-0.333368642080006
6136103550.870949703876.3395151529434280.978058085717-1.81846356143222
6236003556.267629589126.3327309718977444.9381672213822-0.00989857657520171
6336203556.574749837976.2713909222502571.0125300555152-0.0624830191262173
6430203466.86072098525.09794954839103-327.042084610732-0.989445099711979
6532403429.083327187384.53846252570232-135.584393312009-0.442341732658008
6633603367.324776565073.6785684860391975.7700011908009-0.687028068851475
6734503472.383110039984.93131593651044-150.2242171687971.05619580179463
6836403556.752734687665.84135527675343-17.51304720582310.831577642909484
6936903514.110859276115.33817138350055237.691744514686-0.509465199153436
7038703485.435192565585.02722687618459428.100041381373-0.358453214835319
7138103653.618370568936.29192149048322-53.16621656767991.72337319352256
7234303702.917488817756.5664475739979-328.3068550544240.45511363479498
7339103692.992415447536.47213721078374238.252692047319-0.174493193069887
7438003705.773812779656.5157684987976886.15632710147940.0663442878453578
7541403790.76800966537.20766545844615249.8348343069880.818807774148681
7633503769.694635831556.91593744260095-384.101338897518-0.293768808638714
7733603695.736937116966.02167741408079-234.067461975586-0.840016784168896
7833103585.888642395864.73232588075184-129.843029153418-1.20685333307981
7928503429.034789232422.998689435634-374.493338764733-1.68945570264585
8036303460.52462394763.28460942598802133.2474366713030.298995682786195
8143403637.552214684934.87526874450153480.6331339097621.82897137160645
8242603742.03338167145.68708680558143390.3749600784021.05105284322748
8336903767.890121197495.83021909540494-103.7954524702530.21321188277401
8429903657.774678067515.11233337708337-518.605727351704-1.22691752388801
8536203576.984317604414.60789997124545153.473183418853-0.908321297566487
8635903554.809663754894.4307877402911869.4665369271811-0.282044357791537
8739403575.882390674764.56160139887763342.9556382752520.174362178357902
8829703500.985037476273.85064850197087-430.403884047923-0.829837119065881
8934703523.086966301664.02519287609204-76.16156203186140.190534523442408
9043103751.152391416896.19592521510827275.1652666599722.34295377110682
9130603717.660742696965.82178188566249-607.255662962032-0.4161809831219
9234803651.569245174475.18199343720354-79.921394660228-0.756266462276978
9341903673.646353736475.32041707836139494.7528366321320.178116985507508
9434703518.655047452084.13486313589264156.86148606889-1.69338275191279
9526503277.275874190942.51410864485993-311.890543396745-2.59691927696081
9626203193.203953694181.99590712886799-461.859570712896-0.916388756814572
9736203246.955107388272.29695008608425306.5388024495980.547296303886436
9830903194.576778125361.9525425712827-34.5449839712768-0.576568064383284
9936203202.753918340141.99698077471387409.3075963197050.0654153250591785
10028203229.394460749212.19229842352656-440.7208592481750.258381540839813
10130603238.356844711412.2492742373072-186.9533645901060.0709499467710491
10236003251.360877449722.3412396656277334.9705540373710.112834629767115
10329403315.729197540192.86083055513827-454.7310163087680.652048354320624
10435503396.061818204753.4784434983629355.00674443716890.816183862149581
10545903553.385132880694.61955573544274839.6561030920481.62398912660825
10631203383.389251865933.43356451591711-39.3577887300049-1.84612596676353
10728003282.022032251272.78446761490732-347.353079733799-1.10916480997281
10833803420.705929413863.5673277182824-215.45437138351.43877032974545
10934903371.894536687833.270752967601185.411960754382-0.554123061611508
11029403267.370906627932.62543298481814-189.169392559257-1.13814948937981
11135003213.869875301772.25701319571826357.874777853898-0.591212595115354
11229803265.462733330252.60899065352889-348.379010565250.518810253755774
11330403270.472305830652.62703108355058-233.5308906554980.0252334263123886
11441603432.979387402893.84842051965197523.2065070976781.68177743623022
11531103506.788955123734.37461672403314-486.1124544049230.7369735030883
11638903618.691529919335.15017148690911133.748594114111.13458715526565







Structural Time Series Model -- Extrapolation
tObservedLevelSeasonal
14819.759647038493736.948732311911082.81091472659
23649.871386741553778.84013416116-128.968747419603
33331.512149207263820.73153601041-489.219386803151
43841.972529531243862.62293785966-20.6504083284239
54139.237180995213904.51433970891234.722841286299
63682.143134662083946.40574155816-264.262606896082
74236.781646074323988.29714340741248.484502666904
83634.427508094034030.18854525667-395.761037162631
93656.498870174944072.07994710592-415.581076930975
104646.167645407664113.97134895517532.196296452487
113605.678449922534155.86275080442-550.18430088189
124364.167161944154197.75415265367166.413009290479

\begin{tabular}{lllllllll}
\hline
Structural Time Series Model -- Extrapolation \tabularnewline
t & Observed & Level & Seasonal \tabularnewline
1 & 4819.75964703849 & 3736.94873231191 & 1082.81091472659 \tabularnewline
2 & 3649.87138674155 & 3778.84013416116 & -128.968747419603 \tabularnewline
3 & 3331.51214920726 & 3820.73153601041 & -489.219386803151 \tabularnewline
4 & 3841.97252953124 & 3862.62293785966 & -20.6504083284239 \tabularnewline
5 & 4139.23718099521 & 3904.51433970891 & 234.722841286299 \tabularnewline
6 & 3682.14313466208 & 3946.40574155816 & -264.262606896082 \tabularnewline
7 & 4236.78164607432 & 3988.29714340741 & 248.484502666904 \tabularnewline
8 & 3634.42750809403 & 4030.18854525667 & -395.761037162631 \tabularnewline
9 & 3656.49887017494 & 4072.07994710592 & -415.581076930975 \tabularnewline
10 & 4646.16764540766 & 4113.97134895517 & 532.196296452487 \tabularnewline
11 & 3605.67844992253 & 4155.86275080442 & -550.18430088189 \tabularnewline
12 & 4364.16716194415 & 4197.75415265367 & 166.413009290479 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=297969&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]4819.75964703849[/C][C]3736.94873231191[/C][C]1082.81091472659[/C][/ROW]
[ROW][C]2[/C][C]3649.87138674155[/C][C]3778.84013416116[/C][C]-128.968747419603[/C][/ROW]
[ROW][C]3[/C][C]3331.51214920726[/C][C]3820.73153601041[/C][C]-489.219386803151[/C][/ROW]
[ROW][C]4[/C][C]3841.97252953124[/C][C]3862.62293785966[/C][C]-20.6504083284239[/C][/ROW]
[ROW][C]5[/C][C]4139.23718099521[/C][C]3904.51433970891[/C][C]234.722841286299[/C][/ROW]
[ROW][C]6[/C][C]3682.14313466208[/C][C]3946.40574155816[/C][C]-264.262606896082[/C][/ROW]
[ROW][C]7[/C][C]4236.78164607432[/C][C]3988.29714340741[/C][C]248.484502666904[/C][/ROW]
[ROW][C]8[/C][C]3634.42750809403[/C][C]4030.18854525667[/C][C]-395.761037162631[/C][/ROW]
[ROW][C]9[/C][C]3656.49887017494[/C][C]4072.07994710592[/C][C]-415.581076930975[/C][/ROW]
[ROW][C]10[/C][C]4646.16764540766[/C][C]4113.97134895517[/C][C]532.196296452487[/C][/ROW]
[ROW][C]11[/C][C]3605.67844992253[/C][C]4155.86275080442[/C][C]-550.18430088189[/C][/ROW]
[ROW][C]12[/C][C]4364.16716194415[/C][C]4197.75415265367[/C][C]166.413009290479[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=297969&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=297969&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
14819.759647038493736.948732311911082.81091472659
23649.871386741553778.84013416116-128.968747419603
33331.512149207263820.73153601041-489.219386803151
43841.972529531243862.62293785966-20.6504083284239
54139.237180995213904.51433970891234.722841286299
63682.143134662083946.40574155816-264.262606896082
74236.781646074323988.29714340741248.484502666904
83634.427508094034030.18854525667-395.761037162631
93656.498870174944072.07994710592-415.581076930975
104646.167645407664113.97134895517532.196296452487
113605.678449922534155.86275080442-550.18430088189
124364.167161944154197.75415265367166.413009290479



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