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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 computationSun, 12 Dec 2010 11:13:33 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Dec/12/t1292152306amqrfwabfwii01l.htm/, Retrieved Tue, 07 May 2024 21:22:43 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=108375, Retrieved Tue, 07 May 2024 21:22:43 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact149
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Data Series] [data set] [2008-12-01 19:54:57] [b98453cac15ba1066b407e146608df68]
- RMP   [Structural Time Series Models] [Unemployment] [2010-11-30 13:26:46] [b98453cac15ba1066b407e146608df68]
-    D      [Structural Time Series Models] [Structural Time S...] [2010-12-12 11:13:33] [18ef3d986e8801a4b28404e69e5bf56b] [Current]
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Dataseries X:
43880
43110
44496
44164
40399
36763
37903
35532
35533
32110
33374
35462
33508
36080
34560
38737
38144
37594
36424
36843
37246
38661
40454
44928
48441
48140
45998
47369
49554
47510
44873
45344
42413
36912
43452
42142
44382
43636
44167
44423
42868
43908
42013
38846
35087
33026
34646
37135
37985
43121
43722
43630
42234
39351
39327
35704
30466
28155
29257
29998
32529
34787
33855
34556
31348
30805
28353
24514
21106
21346
23335
24379
26290
30084
29429
30632
27349
27264
27474
24482
21453
18788
19282
19713
21917
23812
23785
24696
24562
23580
24939
23899
21454
19761
19815
20780
23462
25005
24725
26198
27543
26471
26558
25317
22896
22248
23406
25073
27691
30599
31948
32946
34012
32936
32974
30951
29812
29010
31068
32447
34844
35676
35387
36488
35652
33488
32914
29781
27951




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time4 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 4 seconds \tabularnewline
R Server & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=108375&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]4 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=108375&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=108375&T=0

As an alternative you can also use a QR Code:  

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

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time4 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk







Structural Time Series Model
tObservedLevelSlopeSeasonalStand. Residuals
14388043880000
24311043150.605395067-39.9885351105205-40.6053950670326-0.20852402299267
34449644522.5614999474-33.7746155184083-26.56149994737430.673368446250687
44416444202.4968507214-34.9035189651365-38.4968507213675-0.136524520045107
54039940465.8225010153-49.7091507760095-66.8225010152794-1.76526639674614
63676336838.0864402425-63.9669103376996-75.0864402424535-1.70624325280129
73790337951.0464316386-59.2958173139072-48.04643163856050.561233306690417
83553235612.9812881593-68.3042423389612-80.9812881593276-1.08665314025625
93553335597.2403857035-68.0972672846299-64.24038570347630.0250651426966414
103211032206.9758129331-81.1274294164487-96.975812933147-1.58418322163715
113337433438.5106847061-75.999036637909-64.51068470613580.625941330412249
123546235521.4303590032-67.5972599542006-59.43035900315261.02946986468049
133350833624.02961902499.66214467349127-116.02961902486-1.05286658160909
143608036009.008705753966.7883697704570.99129424607660.965075795919313
153456034512.357785194163.089493169207747.6422148058947-0.744803224277266
163873738615.823001919270.2195997562275121.1769980808271.92468507774897
173814438091.339107315569.118801014114752.6608926845258-0.283293720983083
183759437550.151362097967.988808222382543.8486379020716-0.290726007552036
193642436346.277290467965.638674108784577.7227095320709-0.605864387718659
203684336787.275896475666.33097251254455.72410352444770.17880609340182
213724637155.789954966466.887266482368190.2100450335610.143947394167836
223866138598.412708326769.415937594369662.58729167332410.65534210630465
234045440370.015229412472.593390878509383.98477058758790.810874597130249
244492844797.791279033879.8425923348354130.2087209661792.07435208101388
254844148543.55557208958.69371201338716-102.5555720894651.91967290216639
264814048114.86020196782.0141846625213325.1397980321874-0.189665683708347
274599846084.2743934669-1.79189132749744-86.2743934668697-0.967958959675665
284736947289.4227623402-0.43468629529080179.57723765982280.574763396273965
294955449540.7468886662.3186932883054713.2531113340261.07231693887742
304751047558.5900654494-0.12268872165468-48.5900654493779-0.945032950914257
314487344894.4310686369-3.39470363187884-21.4310686368649-1.26864777629044
324534445337.9175686686-2.846553528788086.082431331416980.212810319805221
334241342444.6398155746-6.38709224802698-31.6398155745698-1.37645755370533
343691236995.8877821125-13.0589191238438-83.8877821124658-2.59172255467716
354345243365.3980508526-4.884507730458686.6019491473583.03963836510197
364214242168.6429699975-5.96336334932616-26.6429699975158-0.567453346572999
374438244053.1805329242-29.4611513303735328.8194670757480.95790209795342
384363643615.6981923538-33.982535227211620.3018076462236-0.1819833779395
394416744280.4027212283-32.7943517061009-113.4027212283150.33264999099161
404442344415.8262405269-32.65531895402147.173759473065270.0800965619439486
414286842902.3498075826-34.0246718346821-34.3498075826154-0.705083753628604
424390843925.4634112581-33.0311323216479-17.46341125811260.50334990782691
434201342121.7504662053-34.6928662973513-108.750466205296-0.843099119239537
443884638903.3079684338-37.6770285755032-57.3079684338249-1.51592183008409
453508735101.6515730261-41.2003307706442-14.6515730260998-1.79219293890193
463302633240.5434521689-42.9139328633428-214.543452168869-0.866541351970414
473464634540.1603236547-41.555124468957105.8396763452510.639291292466516
483713537173.7114849794-40.260108811871-38.71148497943791.2733608932166
493798537509.4320665908-43.6463793264382475.5679334091620.18728434355937
504312143000.03148791424.00616921374278120.9685120857592.50791551629797
514372243817.88833902335.33934573009184-95.88833902325490.387400713078199
524363043566.66517799125.169050542892463.3348220087785-0.122152320834906
534223442284.0905329054.20224862367967-50.0905329049819-0.61310052346085
543935139373.37810690731.94504044218366-22.3781069072475-1.38780403622646
553932739345.51685137811.92197598673168-18.5168513780562-0.0141909143108158
563570435742.829631409-0.863013673624177-38.8296314089763-1.71617024831205
573046630491.8932567225-4.91401387680109-25.893256722501-2.49958084699912
582815528351.4290056913-6.58649106931663-196.42900569126-1.0167553597024
592925729120.5041406137-5.92039239844198136.495859386350.369333907029543
602999829989.1806366894-5.743234891549728.81936331064040.416265155046371
613252932322.6924607203-22.0099360051456206.3075392796761.15300671784623
623478734652.3360546795-5.61245498170971134.6639453205521.07670691692228
633385534001.6237243225-6.6564237049504-146.623724322551-0.307010646939843
643455634479.8790281753-6.379870398178476.1209718246530.230861945688873
653134831428.867649274-8.31798439239332-80.8676492739637-1.44948733175169
663080530853.8829646202-8.69688969763075-48.8829646202055-0.269778388511193
672835328394.4478181908-10.3376355282636-41.447818190811-1.16674675890099
682451424543.1925775543-12.9035482997543-29.1925775542935-1.82858207004017
692110621145.3946855441-15.1630162962173-39.3946855440835-1.61147782302607
702134621524.2737006605-14.8926387100177-178.273700660480.187598678438295
712333523170.5172568165-13.6358480329782164.4827431835420.790923272651521
722437924393.2729629335-13.638541892004-14.27296293347920.588433725203758
732629026095.6908395077-23.2075346128415194.309160492270.839757571404564
743008429855.9521490642-1.24824900393686228.047850935781.74483398169535
752942929634.9075194692-1.60304286342051-205.907519469192-0.104581776063354
763063230464.3167949132-1.17275101309629167.6832050868350.395627623781772
772734927514.0998927524-2.8122454678773-165.099892752418-1.40393133725234
782726427262.1509408089-2.960628260263991.84905919109212-0.118604614046259
792747427429.9581887566-2.8584204607074344.04181124337140.0812962206419516
802448224498.4488485732-4.60621786486692-16.4488485731768-1.39422075894487
812145321537.6891682898-6.37172912617584-84.6891682898468-1.40731396120478
821878819029.6975351837-7.93085941708913-241.697535183663-1.19095934051552
831928219101.0349653858-7.87698809793577180.965034614230.0377411159427243
841971319729.5531777541-7.97669007420436-16.55317775409590.302877906171253
852191721815.4773619145-17.573667334842101.5226380855111.01929251857023
862381223543.8382294741-8.9713102676991268.1617705259180.809502603783559
872378524040.8027051662-8.15493700590668-255.8027051661760.24067978432716
882469624454.5062014376-7.94766478499516241.4937985623630.200835510174121
892456224724.0060406921-7.80992398799741-162.0060406921420.132079362415062
902358023644.1120338016-8.39092040324117-64.1120338016488-0.510365753757969
912493924805.26495629-7.75045405591025133.7350437099520.55676192396322
922389923892.8480985152-8.244198962614246.15190148478202-0.43066662526235
932145421537.5394491615-9.52991941654673-83.5394491615492-1.11732233052469
941976120024.1197022448-10.4030512611947-263.119702244791-0.715953484840928
951981519633.7218121554-10.6370823696252181.278187844583-0.180917351185997
962078020801.9665027555-10.9609078302838-21.96650275549460.561079105237928
972346223312.149002099-20.6226660037555149.8509979010421.22239034010949
982500524724.834942946-14.5380457564055280.1650570539970.667295205069921
992472525005.1745326512-14.063028817202-280.1745326511830.140248102730746
1002619825950.7539601934-13.60042887527247.2460398066290.456857682547373
1012754327630.392113416-12.835901008356-87.39211341597110.806055499478176
1022647126627.110485057-13.3316895383551-156.110485057029-0.471492786008999
1032655826423.2801194342-13.4287503774796134.719880565789-0.0906852376340076
1042531725292.898658397-13.996044959426424.1013416029927-0.531715325686414
1052289623003.887149622-15.1611024343511-107.887149622037-1.08300482638442
1062224822489.6742141607-15.4357465923667-241.674214160664-0.237580402894759
1072340623213.655552575-15.0219334235474192.3444474250190.352029619867524
1082507325102.5016603975-15.7161582894693-29.50166039751520.906177118946348
1092769127495.9780489627-23.5323474734794195.0219510373021.16447843985375
1103059930256.832699795-13.2281608415219342.1673002050261.30052495881472
1113194832205.6957249483-10.0814924480439-257.6957249483220.933017691264404
1123294632753.6274157977-9.81131861254138192.3725842022640.265653336911307
1133401234036.8463963579-9.27176594649073-24.84639635790720.61553156872512
1143293633134.1528708394-9.68937614100426-198.152870839364-0.42529921146062
1153297432823.4801602476-9.8338114383649150.519839752423-0.143278345118783
1163095130915.0376389712-10.743219799916935.9623610287586-0.9038022716704
1172981229908.8218678336-11.2269180253439-96.82186783365-0.473881916960275
1182901029260.9814842892-11.5628820831968-250.981484289156-0.303067104814339
1193106830847.4960773496-10.7508446625621220.5039226504080.76080666642089
1203244732490.2834565786-11.4656476141887-43.28345657864040.787078969697979
1213484434707.428519598-17.6437218061087136.5714804020451.07451999197507
1223567635384.7727420338-15.3800025078235291.2272579662480.325462868965301
1233538735661.2872922101-14.915487155905-274.2872922100670.138777378608648
1243648836328.8887329862-14.5785271705022159.1112670138140.324925747189646
1253565235687.6083738839-14.8237469457719-35.6083738838575-0.298331460731018
1263348833757.2356475612-15.666712565389-269.23564756124-0.911856357912074
1273291432736.0528252838-16.1252816324323177.947174716173-0.478654248410551
1282978129806.0523014979-17.4553363658106-25.0523014978898-1.38708754230559
1292795128053.7135186009-18.2644990932645-102.713518600916-0.825862228789122

\begin{tabular}{lllllllll}
\hline
Structural Time Series Model \tabularnewline
t & Observed & Level & Slope & Seasonal & Stand. Residuals \tabularnewline
1 & 43880 & 43880 & 0 & 0 & 0 \tabularnewline
2 & 43110 & 43150.605395067 & -39.9885351105205 & -40.6053950670326 & -0.20852402299267 \tabularnewline
3 & 44496 & 44522.5614999474 & -33.7746155184083 & -26.5614999473743 & 0.673368446250687 \tabularnewline
4 & 44164 & 44202.4968507214 & -34.9035189651365 & -38.4968507213675 & -0.136524520045107 \tabularnewline
5 & 40399 & 40465.8225010153 & -49.7091507760095 & -66.8225010152794 & -1.76526639674614 \tabularnewline
6 & 36763 & 36838.0864402425 & -63.9669103376996 & -75.0864402424535 & -1.70624325280129 \tabularnewline
7 & 37903 & 37951.0464316386 & -59.2958173139072 & -48.0464316385605 & 0.561233306690417 \tabularnewline
8 & 35532 & 35612.9812881593 & -68.3042423389612 & -80.9812881593276 & -1.08665314025625 \tabularnewline
9 & 35533 & 35597.2403857035 & -68.0972672846299 & -64.2403857034763 & 0.0250651426966414 \tabularnewline
10 & 32110 & 32206.9758129331 & -81.1274294164487 & -96.975812933147 & -1.58418322163715 \tabularnewline
11 & 33374 & 33438.5106847061 & -75.999036637909 & -64.5106847061358 & 0.625941330412249 \tabularnewline
12 & 35462 & 35521.4303590032 & -67.5972599542006 & -59.4303590031526 & 1.02946986468049 \tabularnewline
13 & 33508 & 33624.0296190249 & 9.66214467349127 & -116.02961902486 & -1.05286658160909 \tabularnewline
14 & 36080 & 36009.0087057539 & 66.78836977045 & 70.9912942460766 & 0.965075795919313 \tabularnewline
15 & 34560 & 34512.3577851941 & 63.0894931692077 & 47.6422148058947 & -0.744803224277266 \tabularnewline
16 & 38737 & 38615.8230019192 & 70.2195997562275 & 121.176998080827 & 1.92468507774897 \tabularnewline
17 & 38144 & 38091.3391073155 & 69.1188010141147 & 52.6608926845258 & -0.283293720983083 \tabularnewline
18 & 37594 & 37550.1513620979 & 67.9888082223825 & 43.8486379020716 & -0.290726007552036 \tabularnewline
19 & 36424 & 36346.2772904679 & 65.6386741087845 & 77.7227095320709 & -0.605864387718659 \tabularnewline
20 & 36843 & 36787.2758964756 & 66.330972512544 & 55.7241035244477 & 0.17880609340182 \tabularnewline
21 & 37246 & 37155.7899549664 & 66.8872664823681 & 90.210045033561 & 0.143947394167836 \tabularnewline
22 & 38661 & 38598.4127083267 & 69.4159375943696 & 62.5872916733241 & 0.65534210630465 \tabularnewline
23 & 40454 & 40370.0152294124 & 72.5933908785093 & 83.9847705875879 & 0.810874597130249 \tabularnewline
24 & 44928 & 44797.7912790338 & 79.8425923348354 & 130.208720966179 & 2.07435208101388 \tabularnewline
25 & 48441 & 48543.5555720895 & 8.69371201338716 & -102.555572089465 & 1.91967290216639 \tabularnewline
26 & 48140 & 48114.8602019678 & 2.01418466252133 & 25.1397980321874 & -0.189665683708347 \tabularnewline
27 & 45998 & 46084.2743934669 & -1.79189132749744 & -86.2743934668697 & -0.967958959675665 \tabularnewline
28 & 47369 & 47289.4227623402 & -0.434686295290801 & 79.5772376598228 & 0.574763396273965 \tabularnewline
29 & 49554 & 49540.746888666 & 2.31869328830547 & 13.253111334026 & 1.07231693887742 \tabularnewline
30 & 47510 & 47558.5900654494 & -0.12268872165468 & -48.5900654493779 & -0.945032950914257 \tabularnewline
31 & 44873 & 44894.4310686369 & -3.39470363187884 & -21.4310686368649 & -1.26864777629044 \tabularnewline
32 & 45344 & 45337.9175686686 & -2.84655352878808 & 6.08243133141698 & 0.212810319805221 \tabularnewline
33 & 42413 & 42444.6398155746 & -6.38709224802698 & -31.6398155745698 & -1.37645755370533 \tabularnewline
34 & 36912 & 36995.8877821125 & -13.0589191238438 & -83.8877821124658 & -2.59172255467716 \tabularnewline
35 & 43452 & 43365.3980508526 & -4.8845077304586 & 86.601949147358 & 3.03963836510197 \tabularnewline
36 & 42142 & 42168.6429699975 & -5.96336334932616 & -26.6429699975158 & -0.567453346572999 \tabularnewline
37 & 44382 & 44053.1805329242 & -29.4611513303735 & 328.819467075748 & 0.95790209795342 \tabularnewline
38 & 43636 & 43615.6981923538 & -33.9825352272116 & 20.3018076462236 & -0.1819833779395 \tabularnewline
39 & 44167 & 44280.4027212283 & -32.7943517061009 & -113.402721228315 & 0.33264999099161 \tabularnewline
40 & 44423 & 44415.8262405269 & -32.6553189540214 & 7.17375947306527 & 0.0800965619439486 \tabularnewline
41 & 42868 & 42902.3498075826 & -34.0246718346821 & -34.3498075826154 & -0.705083753628604 \tabularnewline
42 & 43908 & 43925.4634112581 & -33.0311323216479 & -17.4634112581126 & 0.50334990782691 \tabularnewline
43 & 42013 & 42121.7504662053 & -34.6928662973513 & -108.750466205296 & -0.843099119239537 \tabularnewline
44 & 38846 & 38903.3079684338 & -37.6770285755032 & -57.3079684338249 & -1.51592183008409 \tabularnewline
45 & 35087 & 35101.6515730261 & -41.2003307706442 & -14.6515730260998 & -1.79219293890193 \tabularnewline
46 & 33026 & 33240.5434521689 & -42.9139328633428 & -214.543452168869 & -0.866541351970414 \tabularnewline
47 & 34646 & 34540.1603236547 & -41.555124468957 & 105.839676345251 & 0.639291292466516 \tabularnewline
48 & 37135 & 37173.7114849794 & -40.260108811871 & -38.7114849794379 & 1.2733608932166 \tabularnewline
49 & 37985 & 37509.4320665908 & -43.6463793264382 & 475.567933409162 & 0.18728434355937 \tabularnewline
50 & 43121 & 43000.0314879142 & 4.00616921374278 & 120.968512085759 & 2.50791551629797 \tabularnewline
51 & 43722 & 43817.8883390233 & 5.33934573009184 & -95.8883390232549 & 0.387400713078199 \tabularnewline
52 & 43630 & 43566.6651779912 & 5.1690505428924 & 63.3348220087785 & -0.122152320834906 \tabularnewline
53 & 42234 & 42284.090532905 & 4.20224862367967 & -50.0905329049819 & -0.61310052346085 \tabularnewline
54 & 39351 & 39373.3781069073 & 1.94504044218366 & -22.3781069072475 & -1.38780403622646 \tabularnewline
55 & 39327 & 39345.5168513781 & 1.92197598673168 & -18.5168513780562 & -0.0141909143108158 \tabularnewline
56 & 35704 & 35742.829631409 & -0.863013673624177 & -38.8296314089763 & -1.71617024831205 \tabularnewline
57 & 30466 & 30491.8932567225 & -4.91401387680109 & -25.893256722501 & -2.49958084699912 \tabularnewline
58 & 28155 & 28351.4290056913 & -6.58649106931663 & -196.42900569126 & -1.0167553597024 \tabularnewline
59 & 29257 & 29120.5041406137 & -5.92039239844198 & 136.49585938635 & 0.369333907029543 \tabularnewline
60 & 29998 & 29989.1806366894 & -5.74323489154972 & 8.8193633106404 & 0.416265155046371 \tabularnewline
61 & 32529 & 32322.6924607203 & -22.0099360051456 & 206.307539279676 & 1.15300671784623 \tabularnewline
62 & 34787 & 34652.3360546795 & -5.61245498170971 & 134.663945320552 & 1.07670691692228 \tabularnewline
63 & 33855 & 34001.6237243225 & -6.6564237049504 & -146.623724322551 & -0.307010646939843 \tabularnewline
64 & 34556 & 34479.8790281753 & -6.3798703981784 & 76.120971824653 & 0.230861945688873 \tabularnewline
65 & 31348 & 31428.867649274 & -8.31798439239332 & -80.8676492739637 & -1.44948733175169 \tabularnewline
66 & 30805 & 30853.8829646202 & -8.69688969763075 & -48.8829646202055 & -0.269778388511193 \tabularnewline
67 & 28353 & 28394.4478181908 & -10.3376355282636 & -41.447818190811 & -1.16674675890099 \tabularnewline
68 & 24514 & 24543.1925775543 & -12.9035482997543 & -29.1925775542935 & -1.82858207004017 \tabularnewline
69 & 21106 & 21145.3946855441 & -15.1630162962173 & -39.3946855440835 & -1.61147782302607 \tabularnewline
70 & 21346 & 21524.2737006605 & -14.8926387100177 & -178.27370066048 & 0.187598678438295 \tabularnewline
71 & 23335 & 23170.5172568165 & -13.6358480329782 & 164.482743183542 & 0.790923272651521 \tabularnewline
72 & 24379 & 24393.2729629335 & -13.638541892004 & -14.2729629334792 & 0.588433725203758 \tabularnewline
73 & 26290 & 26095.6908395077 & -23.2075346128415 & 194.30916049227 & 0.839757571404564 \tabularnewline
74 & 30084 & 29855.9521490642 & -1.24824900393686 & 228.04785093578 & 1.74483398169535 \tabularnewline
75 & 29429 & 29634.9075194692 & -1.60304286342051 & -205.907519469192 & -0.104581776063354 \tabularnewline
76 & 30632 & 30464.3167949132 & -1.17275101309629 & 167.683205086835 & 0.395627623781772 \tabularnewline
77 & 27349 & 27514.0998927524 & -2.8122454678773 & -165.099892752418 & -1.40393133725234 \tabularnewline
78 & 27264 & 27262.1509408089 & -2.96062826026399 & 1.84905919109212 & -0.118604614046259 \tabularnewline
79 & 27474 & 27429.9581887566 & -2.85842046070743 & 44.0418112433714 & 0.0812962206419516 \tabularnewline
80 & 24482 & 24498.4488485732 & -4.60621786486692 & -16.4488485731768 & -1.39422075894487 \tabularnewline
81 & 21453 & 21537.6891682898 & -6.37172912617584 & -84.6891682898468 & -1.40731396120478 \tabularnewline
82 & 18788 & 19029.6975351837 & -7.93085941708913 & -241.697535183663 & -1.19095934051552 \tabularnewline
83 & 19282 & 19101.0349653858 & -7.87698809793577 & 180.96503461423 & 0.0377411159427243 \tabularnewline
84 & 19713 & 19729.5531777541 & -7.97669007420436 & -16.5531777540959 & 0.302877906171253 \tabularnewline
85 & 21917 & 21815.4773619145 & -17.573667334842 & 101.522638085511 & 1.01929251857023 \tabularnewline
86 & 23812 & 23543.8382294741 & -8.9713102676991 & 268.161770525918 & 0.809502603783559 \tabularnewline
87 & 23785 & 24040.8027051662 & -8.15493700590668 & -255.802705166176 & 0.24067978432716 \tabularnewline
88 & 24696 & 24454.5062014376 & -7.94766478499516 & 241.493798562363 & 0.200835510174121 \tabularnewline
89 & 24562 & 24724.0060406921 & -7.80992398799741 & -162.006040692142 & 0.132079362415062 \tabularnewline
90 & 23580 & 23644.1120338016 & -8.39092040324117 & -64.1120338016488 & -0.510365753757969 \tabularnewline
91 & 24939 & 24805.26495629 & -7.75045405591025 & 133.735043709952 & 0.55676192396322 \tabularnewline
92 & 23899 & 23892.8480985152 & -8.24419896261424 & 6.15190148478202 & -0.43066662526235 \tabularnewline
93 & 21454 & 21537.5394491615 & -9.52991941654673 & -83.5394491615492 & -1.11732233052469 \tabularnewline
94 & 19761 & 20024.1197022448 & -10.4030512611947 & -263.119702244791 & -0.715953484840928 \tabularnewline
95 & 19815 & 19633.7218121554 & -10.6370823696252 & 181.278187844583 & -0.180917351185997 \tabularnewline
96 & 20780 & 20801.9665027555 & -10.9609078302838 & -21.9665027554946 & 0.561079105237928 \tabularnewline
97 & 23462 & 23312.149002099 & -20.6226660037555 & 149.850997901042 & 1.22239034010949 \tabularnewline
98 & 25005 & 24724.834942946 & -14.5380457564055 & 280.165057053997 & 0.667295205069921 \tabularnewline
99 & 24725 & 25005.1745326512 & -14.063028817202 & -280.174532651183 & 0.140248102730746 \tabularnewline
100 & 26198 & 25950.7539601934 & -13.60042887527 & 247.246039806629 & 0.456857682547373 \tabularnewline
101 & 27543 & 27630.392113416 & -12.835901008356 & -87.3921134159711 & 0.806055499478176 \tabularnewline
102 & 26471 & 26627.110485057 & -13.3316895383551 & -156.110485057029 & -0.471492786008999 \tabularnewline
103 & 26558 & 26423.2801194342 & -13.4287503774796 & 134.719880565789 & -0.0906852376340076 \tabularnewline
104 & 25317 & 25292.898658397 & -13.9960449594264 & 24.1013416029927 & -0.531715325686414 \tabularnewline
105 & 22896 & 23003.887149622 & -15.1611024343511 & -107.887149622037 & -1.08300482638442 \tabularnewline
106 & 22248 & 22489.6742141607 & -15.4357465923667 & -241.674214160664 & -0.237580402894759 \tabularnewline
107 & 23406 & 23213.655552575 & -15.0219334235474 & 192.344447425019 & 0.352029619867524 \tabularnewline
108 & 25073 & 25102.5016603975 & -15.7161582894693 & -29.5016603975152 & 0.906177118946348 \tabularnewline
109 & 27691 & 27495.9780489627 & -23.5323474734794 & 195.021951037302 & 1.16447843985375 \tabularnewline
110 & 30599 & 30256.832699795 & -13.2281608415219 & 342.167300205026 & 1.30052495881472 \tabularnewline
111 & 31948 & 32205.6957249483 & -10.0814924480439 & -257.695724948322 & 0.933017691264404 \tabularnewline
112 & 32946 & 32753.6274157977 & -9.81131861254138 & 192.372584202264 & 0.265653336911307 \tabularnewline
113 & 34012 & 34036.8463963579 & -9.27176594649073 & -24.8463963579072 & 0.61553156872512 \tabularnewline
114 & 32936 & 33134.1528708394 & -9.68937614100426 & -198.152870839364 & -0.42529921146062 \tabularnewline
115 & 32974 & 32823.4801602476 & -9.8338114383649 & 150.519839752423 & -0.143278345118783 \tabularnewline
116 & 30951 & 30915.0376389712 & -10.7432197999169 & 35.9623610287586 & -0.9038022716704 \tabularnewline
117 & 29812 & 29908.8218678336 & -11.2269180253439 & -96.82186783365 & -0.473881916960275 \tabularnewline
118 & 29010 & 29260.9814842892 & -11.5628820831968 & -250.981484289156 & -0.303067104814339 \tabularnewline
119 & 31068 & 30847.4960773496 & -10.7508446625621 & 220.503922650408 & 0.76080666642089 \tabularnewline
120 & 32447 & 32490.2834565786 & -11.4656476141887 & -43.2834565786404 & 0.787078969697979 \tabularnewline
121 & 34844 & 34707.428519598 & -17.6437218061087 & 136.571480402045 & 1.07451999197507 \tabularnewline
122 & 35676 & 35384.7727420338 & -15.3800025078235 & 291.227257966248 & 0.325462868965301 \tabularnewline
123 & 35387 & 35661.2872922101 & -14.915487155905 & -274.287292210067 & 0.138777378608648 \tabularnewline
124 & 36488 & 36328.8887329862 & -14.5785271705022 & 159.111267013814 & 0.324925747189646 \tabularnewline
125 & 35652 & 35687.6083738839 & -14.8237469457719 & -35.6083738838575 & -0.298331460731018 \tabularnewline
126 & 33488 & 33757.2356475612 & -15.666712565389 & -269.23564756124 & -0.911856357912074 \tabularnewline
127 & 32914 & 32736.0528252838 & -16.1252816324323 & 177.947174716173 & -0.478654248410551 \tabularnewline
128 & 29781 & 29806.0523014979 & -17.4553363658106 & -25.0523014978898 & -1.38708754230559 \tabularnewline
129 & 27951 & 28053.7135186009 & -18.2644990932645 & -102.713518600916 & -0.825862228789122 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=108375&T=1

[TABLE]
[ROW][C]Structural Time Series Model[/C][/ROW]
[ROW][C]t[/C][C]Observed[/C][C]Level[/C][C]Slope[/C][C]Seasonal[/C][C]Stand. Residuals[/C][/ROW]
[ROW][C]1[/C][C]43880[/C][C]43880[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]43110[/C][C]43150.605395067[/C][C]-39.9885351105205[/C][C]-40.6053950670326[/C][C]-0.20852402299267[/C][/ROW]
[ROW][C]3[/C][C]44496[/C][C]44522.5614999474[/C][C]-33.7746155184083[/C][C]-26.5614999473743[/C][C]0.673368446250687[/C][/ROW]
[ROW][C]4[/C][C]44164[/C][C]44202.4968507214[/C][C]-34.9035189651365[/C][C]-38.4968507213675[/C][C]-0.136524520045107[/C][/ROW]
[ROW][C]5[/C][C]40399[/C][C]40465.8225010153[/C][C]-49.7091507760095[/C][C]-66.8225010152794[/C][C]-1.76526639674614[/C][/ROW]
[ROW][C]6[/C][C]36763[/C][C]36838.0864402425[/C][C]-63.9669103376996[/C][C]-75.0864402424535[/C][C]-1.70624325280129[/C][/ROW]
[ROW][C]7[/C][C]37903[/C][C]37951.0464316386[/C][C]-59.2958173139072[/C][C]-48.0464316385605[/C][C]0.561233306690417[/C][/ROW]
[ROW][C]8[/C][C]35532[/C][C]35612.9812881593[/C][C]-68.3042423389612[/C][C]-80.9812881593276[/C][C]-1.08665314025625[/C][/ROW]
[ROW][C]9[/C][C]35533[/C][C]35597.2403857035[/C][C]-68.0972672846299[/C][C]-64.2403857034763[/C][C]0.0250651426966414[/C][/ROW]
[ROW][C]10[/C][C]32110[/C][C]32206.9758129331[/C][C]-81.1274294164487[/C][C]-96.975812933147[/C][C]-1.58418322163715[/C][/ROW]
[ROW][C]11[/C][C]33374[/C][C]33438.5106847061[/C][C]-75.999036637909[/C][C]-64.5106847061358[/C][C]0.625941330412249[/C][/ROW]
[ROW][C]12[/C][C]35462[/C][C]35521.4303590032[/C][C]-67.5972599542006[/C][C]-59.4303590031526[/C][C]1.02946986468049[/C][/ROW]
[ROW][C]13[/C][C]33508[/C][C]33624.0296190249[/C][C]9.66214467349127[/C][C]-116.02961902486[/C][C]-1.05286658160909[/C][/ROW]
[ROW][C]14[/C][C]36080[/C][C]36009.0087057539[/C][C]66.78836977045[/C][C]70.9912942460766[/C][C]0.965075795919313[/C][/ROW]
[ROW][C]15[/C][C]34560[/C][C]34512.3577851941[/C][C]63.0894931692077[/C][C]47.6422148058947[/C][C]-0.744803224277266[/C][/ROW]
[ROW][C]16[/C][C]38737[/C][C]38615.8230019192[/C][C]70.2195997562275[/C][C]121.176998080827[/C][C]1.92468507774897[/C][/ROW]
[ROW][C]17[/C][C]38144[/C][C]38091.3391073155[/C][C]69.1188010141147[/C][C]52.6608926845258[/C][C]-0.283293720983083[/C][/ROW]
[ROW][C]18[/C][C]37594[/C][C]37550.1513620979[/C][C]67.9888082223825[/C][C]43.8486379020716[/C][C]-0.290726007552036[/C][/ROW]
[ROW][C]19[/C][C]36424[/C][C]36346.2772904679[/C][C]65.6386741087845[/C][C]77.7227095320709[/C][C]-0.605864387718659[/C][/ROW]
[ROW][C]20[/C][C]36843[/C][C]36787.2758964756[/C][C]66.330972512544[/C][C]55.7241035244477[/C][C]0.17880609340182[/C][/ROW]
[ROW][C]21[/C][C]37246[/C][C]37155.7899549664[/C][C]66.8872664823681[/C][C]90.210045033561[/C][C]0.143947394167836[/C][/ROW]
[ROW][C]22[/C][C]38661[/C][C]38598.4127083267[/C][C]69.4159375943696[/C][C]62.5872916733241[/C][C]0.65534210630465[/C][/ROW]
[ROW][C]23[/C][C]40454[/C][C]40370.0152294124[/C][C]72.5933908785093[/C][C]83.9847705875879[/C][C]0.810874597130249[/C][/ROW]
[ROW][C]24[/C][C]44928[/C][C]44797.7912790338[/C][C]79.8425923348354[/C][C]130.208720966179[/C][C]2.07435208101388[/C][/ROW]
[ROW][C]25[/C][C]48441[/C][C]48543.5555720895[/C][C]8.69371201338716[/C][C]-102.555572089465[/C][C]1.91967290216639[/C][/ROW]
[ROW][C]26[/C][C]48140[/C][C]48114.8602019678[/C][C]2.01418466252133[/C][C]25.1397980321874[/C][C]-0.189665683708347[/C][/ROW]
[ROW][C]27[/C][C]45998[/C][C]46084.2743934669[/C][C]-1.79189132749744[/C][C]-86.2743934668697[/C][C]-0.967958959675665[/C][/ROW]
[ROW][C]28[/C][C]47369[/C][C]47289.4227623402[/C][C]-0.434686295290801[/C][C]79.5772376598228[/C][C]0.574763396273965[/C][/ROW]
[ROW][C]29[/C][C]49554[/C][C]49540.746888666[/C][C]2.31869328830547[/C][C]13.253111334026[/C][C]1.07231693887742[/C][/ROW]
[ROW][C]30[/C][C]47510[/C][C]47558.5900654494[/C][C]-0.12268872165468[/C][C]-48.5900654493779[/C][C]-0.945032950914257[/C][/ROW]
[ROW][C]31[/C][C]44873[/C][C]44894.4310686369[/C][C]-3.39470363187884[/C][C]-21.4310686368649[/C][C]-1.26864777629044[/C][/ROW]
[ROW][C]32[/C][C]45344[/C][C]45337.9175686686[/C][C]-2.84655352878808[/C][C]6.08243133141698[/C][C]0.212810319805221[/C][/ROW]
[ROW][C]33[/C][C]42413[/C][C]42444.6398155746[/C][C]-6.38709224802698[/C][C]-31.6398155745698[/C][C]-1.37645755370533[/C][/ROW]
[ROW][C]34[/C][C]36912[/C][C]36995.8877821125[/C][C]-13.0589191238438[/C][C]-83.8877821124658[/C][C]-2.59172255467716[/C][/ROW]
[ROW][C]35[/C][C]43452[/C][C]43365.3980508526[/C][C]-4.8845077304586[/C][C]86.601949147358[/C][C]3.03963836510197[/C][/ROW]
[ROW][C]36[/C][C]42142[/C][C]42168.6429699975[/C][C]-5.96336334932616[/C][C]-26.6429699975158[/C][C]-0.567453346572999[/C][/ROW]
[ROW][C]37[/C][C]44382[/C][C]44053.1805329242[/C][C]-29.4611513303735[/C][C]328.819467075748[/C][C]0.95790209795342[/C][/ROW]
[ROW][C]38[/C][C]43636[/C][C]43615.6981923538[/C][C]-33.9825352272116[/C][C]20.3018076462236[/C][C]-0.1819833779395[/C][/ROW]
[ROW][C]39[/C][C]44167[/C][C]44280.4027212283[/C][C]-32.7943517061009[/C][C]-113.402721228315[/C][C]0.33264999099161[/C][/ROW]
[ROW][C]40[/C][C]44423[/C][C]44415.8262405269[/C][C]-32.6553189540214[/C][C]7.17375947306527[/C][C]0.0800965619439486[/C][/ROW]
[ROW][C]41[/C][C]42868[/C][C]42902.3498075826[/C][C]-34.0246718346821[/C][C]-34.3498075826154[/C][C]-0.705083753628604[/C][/ROW]
[ROW][C]42[/C][C]43908[/C][C]43925.4634112581[/C][C]-33.0311323216479[/C][C]-17.4634112581126[/C][C]0.50334990782691[/C][/ROW]
[ROW][C]43[/C][C]42013[/C][C]42121.7504662053[/C][C]-34.6928662973513[/C][C]-108.750466205296[/C][C]-0.843099119239537[/C][/ROW]
[ROW][C]44[/C][C]38846[/C][C]38903.3079684338[/C][C]-37.6770285755032[/C][C]-57.3079684338249[/C][C]-1.51592183008409[/C][/ROW]
[ROW][C]45[/C][C]35087[/C][C]35101.6515730261[/C][C]-41.2003307706442[/C][C]-14.6515730260998[/C][C]-1.79219293890193[/C][/ROW]
[ROW][C]46[/C][C]33026[/C][C]33240.5434521689[/C][C]-42.9139328633428[/C][C]-214.543452168869[/C][C]-0.866541351970414[/C][/ROW]
[ROW][C]47[/C][C]34646[/C][C]34540.1603236547[/C][C]-41.555124468957[/C][C]105.839676345251[/C][C]0.639291292466516[/C][/ROW]
[ROW][C]48[/C][C]37135[/C][C]37173.7114849794[/C][C]-40.260108811871[/C][C]-38.7114849794379[/C][C]1.2733608932166[/C][/ROW]
[ROW][C]49[/C][C]37985[/C][C]37509.4320665908[/C][C]-43.6463793264382[/C][C]475.567933409162[/C][C]0.18728434355937[/C][/ROW]
[ROW][C]50[/C][C]43121[/C][C]43000.0314879142[/C][C]4.00616921374278[/C][C]120.968512085759[/C][C]2.50791551629797[/C][/ROW]
[ROW][C]51[/C][C]43722[/C][C]43817.8883390233[/C][C]5.33934573009184[/C][C]-95.8883390232549[/C][C]0.387400713078199[/C][/ROW]
[ROW][C]52[/C][C]43630[/C][C]43566.6651779912[/C][C]5.1690505428924[/C][C]63.3348220087785[/C][C]-0.122152320834906[/C][/ROW]
[ROW][C]53[/C][C]42234[/C][C]42284.090532905[/C][C]4.20224862367967[/C][C]-50.0905329049819[/C][C]-0.61310052346085[/C][/ROW]
[ROW][C]54[/C][C]39351[/C][C]39373.3781069073[/C][C]1.94504044218366[/C][C]-22.3781069072475[/C][C]-1.38780403622646[/C][/ROW]
[ROW][C]55[/C][C]39327[/C][C]39345.5168513781[/C][C]1.92197598673168[/C][C]-18.5168513780562[/C][C]-0.0141909143108158[/C][/ROW]
[ROW][C]56[/C][C]35704[/C][C]35742.829631409[/C][C]-0.863013673624177[/C][C]-38.8296314089763[/C][C]-1.71617024831205[/C][/ROW]
[ROW][C]57[/C][C]30466[/C][C]30491.8932567225[/C][C]-4.91401387680109[/C][C]-25.893256722501[/C][C]-2.49958084699912[/C][/ROW]
[ROW][C]58[/C][C]28155[/C][C]28351.4290056913[/C][C]-6.58649106931663[/C][C]-196.42900569126[/C][C]-1.0167553597024[/C][/ROW]
[ROW][C]59[/C][C]29257[/C][C]29120.5041406137[/C][C]-5.92039239844198[/C][C]136.49585938635[/C][C]0.369333907029543[/C][/ROW]
[ROW][C]60[/C][C]29998[/C][C]29989.1806366894[/C][C]-5.74323489154972[/C][C]8.8193633106404[/C][C]0.416265155046371[/C][/ROW]
[ROW][C]61[/C][C]32529[/C][C]32322.6924607203[/C][C]-22.0099360051456[/C][C]206.307539279676[/C][C]1.15300671784623[/C][/ROW]
[ROW][C]62[/C][C]34787[/C][C]34652.3360546795[/C][C]-5.61245498170971[/C][C]134.663945320552[/C][C]1.07670691692228[/C][/ROW]
[ROW][C]63[/C][C]33855[/C][C]34001.6237243225[/C][C]-6.6564237049504[/C][C]-146.623724322551[/C][C]-0.307010646939843[/C][/ROW]
[ROW][C]64[/C][C]34556[/C][C]34479.8790281753[/C][C]-6.3798703981784[/C][C]76.120971824653[/C][C]0.230861945688873[/C][/ROW]
[ROW][C]65[/C][C]31348[/C][C]31428.867649274[/C][C]-8.31798439239332[/C][C]-80.8676492739637[/C][C]-1.44948733175169[/C][/ROW]
[ROW][C]66[/C][C]30805[/C][C]30853.8829646202[/C][C]-8.69688969763075[/C][C]-48.8829646202055[/C][C]-0.269778388511193[/C][/ROW]
[ROW][C]67[/C][C]28353[/C][C]28394.4478181908[/C][C]-10.3376355282636[/C][C]-41.447818190811[/C][C]-1.16674675890099[/C][/ROW]
[ROW][C]68[/C][C]24514[/C][C]24543.1925775543[/C][C]-12.9035482997543[/C][C]-29.1925775542935[/C][C]-1.82858207004017[/C][/ROW]
[ROW][C]69[/C][C]21106[/C][C]21145.3946855441[/C][C]-15.1630162962173[/C][C]-39.3946855440835[/C][C]-1.61147782302607[/C][/ROW]
[ROW][C]70[/C][C]21346[/C][C]21524.2737006605[/C][C]-14.8926387100177[/C][C]-178.27370066048[/C][C]0.187598678438295[/C][/ROW]
[ROW][C]71[/C][C]23335[/C][C]23170.5172568165[/C][C]-13.6358480329782[/C][C]164.482743183542[/C][C]0.790923272651521[/C][/ROW]
[ROW][C]72[/C][C]24379[/C][C]24393.2729629335[/C][C]-13.638541892004[/C][C]-14.2729629334792[/C][C]0.588433725203758[/C][/ROW]
[ROW][C]73[/C][C]26290[/C][C]26095.6908395077[/C][C]-23.2075346128415[/C][C]194.30916049227[/C][C]0.839757571404564[/C][/ROW]
[ROW][C]74[/C][C]30084[/C][C]29855.9521490642[/C][C]-1.24824900393686[/C][C]228.04785093578[/C][C]1.74483398169535[/C][/ROW]
[ROW][C]75[/C][C]29429[/C][C]29634.9075194692[/C][C]-1.60304286342051[/C][C]-205.907519469192[/C][C]-0.104581776063354[/C][/ROW]
[ROW][C]76[/C][C]30632[/C][C]30464.3167949132[/C][C]-1.17275101309629[/C][C]167.683205086835[/C][C]0.395627623781772[/C][/ROW]
[ROW][C]77[/C][C]27349[/C][C]27514.0998927524[/C][C]-2.8122454678773[/C][C]-165.099892752418[/C][C]-1.40393133725234[/C][/ROW]
[ROW][C]78[/C][C]27264[/C][C]27262.1509408089[/C][C]-2.96062826026399[/C][C]1.84905919109212[/C][C]-0.118604614046259[/C][/ROW]
[ROW][C]79[/C][C]27474[/C][C]27429.9581887566[/C][C]-2.85842046070743[/C][C]44.0418112433714[/C][C]0.0812962206419516[/C][/ROW]
[ROW][C]80[/C][C]24482[/C][C]24498.4488485732[/C][C]-4.60621786486692[/C][C]-16.4488485731768[/C][C]-1.39422075894487[/C][/ROW]
[ROW][C]81[/C][C]21453[/C][C]21537.6891682898[/C][C]-6.37172912617584[/C][C]-84.6891682898468[/C][C]-1.40731396120478[/C][/ROW]
[ROW][C]82[/C][C]18788[/C][C]19029.6975351837[/C][C]-7.93085941708913[/C][C]-241.697535183663[/C][C]-1.19095934051552[/C][/ROW]
[ROW][C]83[/C][C]19282[/C][C]19101.0349653858[/C][C]-7.87698809793577[/C][C]180.96503461423[/C][C]0.0377411159427243[/C][/ROW]
[ROW][C]84[/C][C]19713[/C][C]19729.5531777541[/C][C]-7.97669007420436[/C][C]-16.5531777540959[/C][C]0.302877906171253[/C][/ROW]
[ROW][C]85[/C][C]21917[/C][C]21815.4773619145[/C][C]-17.573667334842[/C][C]101.522638085511[/C][C]1.01929251857023[/C][/ROW]
[ROW][C]86[/C][C]23812[/C][C]23543.8382294741[/C][C]-8.9713102676991[/C][C]268.161770525918[/C][C]0.809502603783559[/C][/ROW]
[ROW][C]87[/C][C]23785[/C][C]24040.8027051662[/C][C]-8.15493700590668[/C][C]-255.802705166176[/C][C]0.24067978432716[/C][/ROW]
[ROW][C]88[/C][C]24696[/C][C]24454.5062014376[/C][C]-7.94766478499516[/C][C]241.493798562363[/C][C]0.200835510174121[/C][/ROW]
[ROW][C]89[/C][C]24562[/C][C]24724.0060406921[/C][C]-7.80992398799741[/C][C]-162.006040692142[/C][C]0.132079362415062[/C][/ROW]
[ROW][C]90[/C][C]23580[/C][C]23644.1120338016[/C][C]-8.39092040324117[/C][C]-64.1120338016488[/C][C]-0.510365753757969[/C][/ROW]
[ROW][C]91[/C][C]24939[/C][C]24805.26495629[/C][C]-7.75045405591025[/C][C]133.735043709952[/C][C]0.55676192396322[/C][/ROW]
[ROW][C]92[/C][C]23899[/C][C]23892.8480985152[/C][C]-8.24419896261424[/C][C]6.15190148478202[/C][C]-0.43066662526235[/C][/ROW]
[ROW][C]93[/C][C]21454[/C][C]21537.5394491615[/C][C]-9.52991941654673[/C][C]-83.5394491615492[/C][C]-1.11732233052469[/C][/ROW]
[ROW][C]94[/C][C]19761[/C][C]20024.1197022448[/C][C]-10.4030512611947[/C][C]-263.119702244791[/C][C]-0.715953484840928[/C][/ROW]
[ROW][C]95[/C][C]19815[/C][C]19633.7218121554[/C][C]-10.6370823696252[/C][C]181.278187844583[/C][C]-0.180917351185997[/C][/ROW]
[ROW][C]96[/C][C]20780[/C][C]20801.9665027555[/C][C]-10.9609078302838[/C][C]-21.9665027554946[/C][C]0.561079105237928[/C][/ROW]
[ROW][C]97[/C][C]23462[/C][C]23312.149002099[/C][C]-20.6226660037555[/C][C]149.850997901042[/C][C]1.22239034010949[/C][/ROW]
[ROW][C]98[/C][C]25005[/C][C]24724.834942946[/C][C]-14.5380457564055[/C][C]280.165057053997[/C][C]0.667295205069921[/C][/ROW]
[ROW][C]99[/C][C]24725[/C][C]25005.1745326512[/C][C]-14.063028817202[/C][C]-280.174532651183[/C][C]0.140248102730746[/C][/ROW]
[ROW][C]100[/C][C]26198[/C][C]25950.7539601934[/C][C]-13.60042887527[/C][C]247.246039806629[/C][C]0.456857682547373[/C][/ROW]
[ROW][C]101[/C][C]27543[/C][C]27630.392113416[/C][C]-12.835901008356[/C][C]-87.3921134159711[/C][C]0.806055499478176[/C][/ROW]
[ROW][C]102[/C][C]26471[/C][C]26627.110485057[/C][C]-13.3316895383551[/C][C]-156.110485057029[/C][C]-0.471492786008999[/C][/ROW]
[ROW][C]103[/C][C]26558[/C][C]26423.2801194342[/C][C]-13.4287503774796[/C][C]134.719880565789[/C][C]-0.0906852376340076[/C][/ROW]
[ROW][C]104[/C][C]25317[/C][C]25292.898658397[/C][C]-13.9960449594264[/C][C]24.1013416029927[/C][C]-0.531715325686414[/C][/ROW]
[ROW][C]105[/C][C]22896[/C][C]23003.887149622[/C][C]-15.1611024343511[/C][C]-107.887149622037[/C][C]-1.08300482638442[/C][/ROW]
[ROW][C]106[/C][C]22248[/C][C]22489.6742141607[/C][C]-15.4357465923667[/C][C]-241.674214160664[/C][C]-0.237580402894759[/C][/ROW]
[ROW][C]107[/C][C]23406[/C][C]23213.655552575[/C][C]-15.0219334235474[/C][C]192.344447425019[/C][C]0.352029619867524[/C][/ROW]
[ROW][C]108[/C][C]25073[/C][C]25102.5016603975[/C][C]-15.7161582894693[/C][C]-29.5016603975152[/C][C]0.906177118946348[/C][/ROW]
[ROW][C]109[/C][C]27691[/C][C]27495.9780489627[/C][C]-23.5323474734794[/C][C]195.021951037302[/C][C]1.16447843985375[/C][/ROW]
[ROW][C]110[/C][C]30599[/C][C]30256.832699795[/C][C]-13.2281608415219[/C][C]342.167300205026[/C][C]1.30052495881472[/C][/ROW]
[ROW][C]111[/C][C]31948[/C][C]32205.6957249483[/C][C]-10.0814924480439[/C][C]-257.695724948322[/C][C]0.933017691264404[/C][/ROW]
[ROW][C]112[/C][C]32946[/C][C]32753.6274157977[/C][C]-9.81131861254138[/C][C]192.372584202264[/C][C]0.265653336911307[/C][/ROW]
[ROW][C]113[/C][C]34012[/C][C]34036.8463963579[/C][C]-9.27176594649073[/C][C]-24.8463963579072[/C][C]0.61553156872512[/C][/ROW]
[ROW][C]114[/C][C]32936[/C][C]33134.1528708394[/C][C]-9.68937614100426[/C][C]-198.152870839364[/C][C]-0.42529921146062[/C][/ROW]
[ROW][C]115[/C][C]32974[/C][C]32823.4801602476[/C][C]-9.8338114383649[/C][C]150.519839752423[/C][C]-0.143278345118783[/C][/ROW]
[ROW][C]116[/C][C]30951[/C][C]30915.0376389712[/C][C]-10.7432197999169[/C][C]35.9623610287586[/C][C]-0.9038022716704[/C][/ROW]
[ROW][C]117[/C][C]29812[/C][C]29908.8218678336[/C][C]-11.2269180253439[/C][C]-96.82186783365[/C][C]-0.473881916960275[/C][/ROW]
[ROW][C]118[/C][C]29010[/C][C]29260.9814842892[/C][C]-11.5628820831968[/C][C]-250.981484289156[/C][C]-0.303067104814339[/C][/ROW]
[ROW][C]119[/C][C]31068[/C][C]30847.4960773496[/C][C]-10.7508446625621[/C][C]220.503922650408[/C][C]0.76080666642089[/C][/ROW]
[ROW][C]120[/C][C]32447[/C][C]32490.2834565786[/C][C]-11.4656476141887[/C][C]-43.2834565786404[/C][C]0.787078969697979[/C][/ROW]
[ROW][C]121[/C][C]34844[/C][C]34707.428519598[/C][C]-17.6437218061087[/C][C]136.571480402045[/C][C]1.07451999197507[/C][/ROW]
[ROW][C]122[/C][C]35676[/C][C]35384.7727420338[/C][C]-15.3800025078235[/C][C]291.227257966248[/C][C]0.325462868965301[/C][/ROW]
[ROW][C]123[/C][C]35387[/C][C]35661.2872922101[/C][C]-14.915487155905[/C][C]-274.287292210067[/C][C]0.138777378608648[/C][/ROW]
[ROW][C]124[/C][C]36488[/C][C]36328.8887329862[/C][C]-14.5785271705022[/C][C]159.111267013814[/C][C]0.324925747189646[/C][/ROW]
[ROW][C]125[/C][C]35652[/C][C]35687.6083738839[/C][C]-14.8237469457719[/C][C]-35.6083738838575[/C][C]-0.298331460731018[/C][/ROW]
[ROW][C]126[/C][C]33488[/C][C]33757.2356475612[/C][C]-15.666712565389[/C][C]-269.23564756124[/C][C]-0.911856357912074[/C][/ROW]
[ROW][C]127[/C][C]32914[/C][C]32736.0528252838[/C][C]-16.1252816324323[/C][C]177.947174716173[/C][C]-0.478654248410551[/C][/ROW]
[ROW][C]128[/C][C]29781[/C][C]29806.0523014979[/C][C]-17.4553363658106[/C][C]-25.0523014978898[/C][C]-1.38708754230559[/C][/ROW]
[ROW][C]129[/C][C]27951[/C][C]28053.7135186009[/C][C]-18.2644990932645[/C][C]-102.713518600916[/C][C]-0.825862228789122[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=108375&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=108375&T=1

As an alternative you can also use a QR Code:  

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

Structural Time Series Model
tObservedLevelSlopeSeasonalStand. Residuals
14388043880000
24311043150.605395067-39.9885351105205-40.6053950670326-0.20852402299267
34449644522.5614999474-33.7746155184083-26.56149994737430.673368446250687
44416444202.4968507214-34.9035189651365-38.4968507213675-0.136524520045107
54039940465.8225010153-49.7091507760095-66.8225010152794-1.76526639674614
63676336838.0864402425-63.9669103376996-75.0864402424535-1.70624325280129
73790337951.0464316386-59.2958173139072-48.04643163856050.561233306690417
83553235612.9812881593-68.3042423389612-80.9812881593276-1.08665314025625
93553335597.2403857035-68.0972672846299-64.24038570347630.0250651426966414
103211032206.9758129331-81.1274294164487-96.975812933147-1.58418322163715
113337433438.5106847061-75.999036637909-64.51068470613580.625941330412249
123546235521.4303590032-67.5972599542006-59.43035900315261.02946986468049
133350833624.02961902499.66214467349127-116.02961902486-1.05286658160909
143608036009.008705753966.7883697704570.99129424607660.965075795919313
153456034512.357785194163.089493169207747.6422148058947-0.744803224277266
163873738615.823001919270.2195997562275121.1769980808271.92468507774897
173814438091.339107315569.118801014114752.6608926845258-0.283293720983083
183759437550.151362097967.988808222382543.8486379020716-0.290726007552036
193642436346.277290467965.638674108784577.7227095320709-0.605864387718659
203684336787.275896475666.33097251254455.72410352444770.17880609340182
213724637155.789954966466.887266482368190.2100450335610.143947394167836
223866138598.412708326769.415937594369662.58729167332410.65534210630465
234045440370.015229412472.593390878509383.98477058758790.810874597130249
244492844797.791279033879.8425923348354130.2087209661792.07435208101388
254844148543.55557208958.69371201338716-102.5555720894651.91967290216639
264814048114.86020196782.0141846625213325.1397980321874-0.189665683708347
274599846084.2743934669-1.79189132749744-86.2743934668697-0.967958959675665
284736947289.4227623402-0.43468629529080179.57723765982280.574763396273965
294955449540.7468886662.3186932883054713.2531113340261.07231693887742
304751047558.5900654494-0.12268872165468-48.5900654493779-0.945032950914257
314487344894.4310686369-3.39470363187884-21.4310686368649-1.26864777629044
324534445337.9175686686-2.846553528788086.082431331416980.212810319805221
334241342444.6398155746-6.38709224802698-31.6398155745698-1.37645755370533
343691236995.8877821125-13.0589191238438-83.8877821124658-2.59172255467716
354345243365.3980508526-4.884507730458686.6019491473583.03963836510197
364214242168.6429699975-5.96336334932616-26.6429699975158-0.567453346572999
374438244053.1805329242-29.4611513303735328.8194670757480.95790209795342
384363643615.6981923538-33.982535227211620.3018076462236-0.1819833779395
394416744280.4027212283-32.7943517061009-113.4027212283150.33264999099161
404442344415.8262405269-32.65531895402147.173759473065270.0800965619439486
414286842902.3498075826-34.0246718346821-34.3498075826154-0.705083753628604
424390843925.4634112581-33.0311323216479-17.46341125811260.50334990782691
434201342121.7504662053-34.6928662973513-108.750466205296-0.843099119239537
443884638903.3079684338-37.6770285755032-57.3079684338249-1.51592183008409
453508735101.6515730261-41.2003307706442-14.6515730260998-1.79219293890193
463302633240.5434521689-42.9139328633428-214.543452168869-0.866541351970414
473464634540.1603236547-41.555124468957105.8396763452510.639291292466516
483713537173.7114849794-40.260108811871-38.71148497943791.2733608932166
493798537509.4320665908-43.6463793264382475.5679334091620.18728434355937
504312143000.03148791424.00616921374278120.9685120857592.50791551629797
514372243817.88833902335.33934573009184-95.88833902325490.387400713078199
524363043566.66517799125.169050542892463.3348220087785-0.122152320834906
534223442284.0905329054.20224862367967-50.0905329049819-0.61310052346085
543935139373.37810690731.94504044218366-22.3781069072475-1.38780403622646
553932739345.51685137811.92197598673168-18.5168513780562-0.0141909143108158
563570435742.829631409-0.863013673624177-38.8296314089763-1.71617024831205
573046630491.8932567225-4.91401387680109-25.893256722501-2.49958084699912
582815528351.4290056913-6.58649106931663-196.42900569126-1.0167553597024
592925729120.5041406137-5.92039239844198136.495859386350.369333907029543
602999829989.1806366894-5.743234891549728.81936331064040.416265155046371
613252932322.6924607203-22.0099360051456206.3075392796761.15300671784623
623478734652.3360546795-5.61245498170971134.6639453205521.07670691692228
633385534001.6237243225-6.6564237049504-146.623724322551-0.307010646939843
643455634479.8790281753-6.379870398178476.1209718246530.230861945688873
653134831428.867649274-8.31798439239332-80.8676492739637-1.44948733175169
663080530853.8829646202-8.69688969763075-48.8829646202055-0.269778388511193
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Parameters (Session):
par1 = 12 ;
Parameters (R input):
par1 = 12 ;
R code (references can be found in the software module):
par1 <- as.numeric(par1)
nx <- length(x)
x <- ts(x,frequency=par1)
m <- StructTS(x,type='BSM')
m$coef
m$fitted
m$resid
mylevel <- as.numeric(m$fitted[,'level'])
myslope <- as.numeric(m$fitted[,'slope'])
myseas <- as.numeric(m$fitted[,'sea'])
myresid <- as.numeric(m$resid)
myfit <- mylevel+myseas
mylagmax <- nx/2
bitmap(file='test2.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(x),lag.max = mylagmax,main='Observed')
acf(mylevel,na.action=na.pass,lag.max = mylagmax,main='Level')
acf(myseas,na.action=na.pass,lag.max = mylagmax,main='Seasonal')
acf(myresid,na.action=na.pass,lag.max = mylagmax,main='Standardized Residals')
par(op)
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
spectrum(as.numeric(x),main='Observed')
spectrum(mylevel,main='Level')
spectrum(myseas,main='Seasonal')
spectrum(myresid,main='Standardized Residals')
par(op)
dev.off()
bitmap(file='test4.png')
op <- par(mfrow = c(2,2))
cpgram(as.numeric(x),main='Observed')
cpgram(mylevel,main='Level')
cpgram(myseas,main='Seasonal')
cpgram(myresid,main='Standardized Residals')
par(op)
dev.off()
bitmap(file='test1.png')
plot(as.numeric(m$resid),main='Standardized Residuals',ylab='Residuals',xlab='time',type='b')
grid()
dev.off()
bitmap(file='test5.png')
op <- par(mfrow = c(2,2))
hist(m$resid,main='Residual Histogram')
plot(density(m$resid),main='Residual Kernel Density')
qqnorm(m$resid,main='Residual Normal QQ Plot')
qqline(m$resid)
plot(m$resid^2, myfit^2,main='Sq.Resid vs. Sq.Fit',xlab='Squared residuals',ylab='Squared Fit')
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Structural Time Series Model',6,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Observed',header=TRUE)
a<-table.element(a,'Level',header=TRUE)
a<-table.element(a,'Slope',header=TRUE)
a<-table.element(a,'Seasonal',header=TRUE)
a<-table.element(a,'Stand. Residuals',header=TRUE)
a<-table.row.end(a)
for (i in 1:nx) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
a<-table.element(a,mylevel[i])
a<-table.element(a,myslope[i])
a<-table.element(a,myseas[i])
a<-table.element(a,myresid[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')