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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_structuraltimeseries.wasp
Title produced by softwareStructural Time Series Models
Date of computationSat, 18 Dec 2010 20:42:32 +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/18/t12927048463ku3roqo6cojv0f.htm/, Retrieved Tue, 30 Apr 2024 07:40:37 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=112197, Retrieved Tue, 30 Apr 2024 07:40:37 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact126
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Structural Time Series Models] [Structural time s...] [2010-12-18 20:42:32] [be034431ba35f7eb1ce695fc7ca4deb9] [Current]
- RMP     [Multiple Regression] [Multiple regressi...] [2010-12-20 19:46:10] [b11c112f8986de933f8b95cd30e75cc2]
-    D      [Multiple Regression] [Multiple regressi...] [2010-12-20 20:40:20] [b11c112f8986de933f8b95cd30e75cc2]
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Dataseries X:
27951
29781
32914
33488
35652
36488
35387
35676
34844
32447
31068
29010
29812
30951
32974
32936
34012
32946
31948
30599
27691
25073
23406
22248
22896
25317
26558
26471
27543
26198
24725
25005
23462
20780
19815
19761
21454
23899
24939
23580
24562
24696
23785
23812
21917
19713
19282
18788
21453
24482
27474
27264
27349
30632
29429
30084
26290
24379
23335
21346
21106
24514
28353
30805
31348
34556
33855
34787
32529
29998
29257
28155
30466
35704
39327
39351
42234
43630
43722
43121
37985
37135
34646
33026
35087
38846
42013
43908
42868
44423
44167
43636
44382
42142
43452
36912
42413
45344
44873
47510
49554
47369
45998
48140
48441
44928
40454
38661
37246
36843
36424
37594
38144
38737
34560
36080
33508
35462
33374
32110
35533
35532
37903
36763
40399
44164
44496
43110
43880
43930
44327




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time9 seconds
R Server'George Udny Yule' @ 72.249.76.132

\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 & 9 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=112197&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]9 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=112197&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=112197&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 time9 seconds
R Server'George Udny Yule' @ 72.249.76.132







Structural Time Series Model
tObservedLevelSlopeSeasonalStand. Residuals
12795127951000
22978129682.2808907494.836038450710698.71910926002250.51836229665984
33291432768.5927317710109.952745875076145.4072682290521.49314800553482
43348833382.2670313682111.910722440966105.7329686318280.251395316546961
53565235508.9611128197120.063512052557143.0388871803421.00551777214031
63648836364.2112291855123.031961438393123.7887708145420.366906790447081
73538735286.7977561584118.205145056431100.202243841615-0.599097013549521
83567635550.4022677571118.787427597167125.5977322428530.0725627643357
93484434741.0712000567115.085404527458102.928799943287-0.463181637887929
103244732368.885179749105.20374120173078.1148202510191-1.24127416544803
113106830976.991195372299.279468579004691.0088046277702-0.747121686018512
122901028939.499082964890.857224998626570.5009170352003-1.06634066888066
132981230226.241509252140.5280262815244-414.2415092520650.718690690273583
143095130918.291991525656.028617236935532.70800847439380.277682339239381
153297432835.776237490962.025594903121138.2237625091470.927954184715646
163293632916.501703420762.057787637148519.49829657933030.00932278959246116
173401233916.823103895463.84148351024295.176896104650.467763200097136
183294632901.389068913561.76834504189444.6109310864618-0.538063041200826
193194831928.237916570059.785230094127719.7620834300432-0.515948985858539
203059930559.476357989857.053511240865739.5236420101598-0.712186748607805
212769127685.910764214351.460937040695.0892357857162-1.46102588532150
222507325083.684883664246.3976557473744-10.6848836641880-1.32296616566363
232340623361.468061102742.89486686383744.531938897319-0.881791801049781
242224822251.990376583341.1956829224418-3.99037658332042-0.574324122196805
252289623120.213502281425.4458543024650-224.2135022814170.451690573017219
262531725278.940659145657.148121324379938.05934085435750.971641505830082
272655826399.786102494860.2238543020195158.2138975051770.529915378754457
282647126494.220821960660.2624444233553-23.22082196061830.0170509271014414
292754327405.06268761661.3464474506505137.9373123840230.423921795119697
302619826194.51605360559.66917270572413.48394639502692-0.633900608277372
312472524733.665043489357.6659459002131-8.66504348929647-0.757814272322515
322500524895.243427721457.8025609245567109.7565722786080.0517890242693413
332346223454.443699738955.83594253739887.55630026111686-0.746888697081925
342078020825.443513601952.2789042354535-45.44351360195-1.33811259145104
351981519735.864737210850.639718774810179.1352627891573-0.569171531258271
361976119757.052319686050.6238614370043.94768031397104-0.0146718322625776
372145421689.102441021628.2399228519063-235.1024410215840.99319748823325
382389923843.337269616250.674634820273355.66273038379620.996934222493038
392493924773.268553323453.1525887745397165.7314466766320.437757322797109
402358023711.464368847152.1469065672969-131.464368847107-0.555642364501479
412456224366.488308500552.7350272111579195.5116914994610.300428788389833
422469624647.078217492452.972538758471448.92178250755270.113545422278442
432378523857.576848263552.0908788412837-72.5768482635257-0.419824893138959
442381223683.960500822551.8553693419524128.039499177493-0.112475219750298
452191721910.216248311949.95260585949366.78375168808923-0.909738403324164
461971319790.802661915747.6256539299926-77.8026619156559-1.08107773620776
471928219183.338640435146.854565979006998.6613595648733-0.326503671533992
481878818840.866610353746.8554931705810-52.8666103537255-0.193917984590527
492145321599.162848203624.2214124404718-146.1628482036431.40610889833399
502448224388.853972424846.334769121244893.14602757518631.31841346638564
512747427166.41580230153.9638164133367307.5841976990191.35896161383151
522726427446.502334473454.1504057658739-182.5023344734040.112684657972148
532734927192.339665297553.9028964930585156.660334702478-0.153629386590793
543063230398.498837593556.6913367178663233.5011624064941.57072476721767
552942929593.330644274655.918298926904-164.330644274645-0.429452906865215
563008429885.191685019156.1291767609185198.8083149808930.117566974594700
572629026371.915475860452.9316217281738-81.9154758604054-1.77858825636033
582437924470.518850482151.0857827839165-91.5188504821072-0.973866412523855
592333523212.790358781749.7684304480313122.209641218336-0.652280140643474
602134621545.594382674350.3704437764581-199.594382674281-0.855219698479139
612110621544.473035941450.68993049794-438.473035941421-0.0264114748618946
622451424419.355259554668.492105850196994.6447404453891.36078341621955
632835327882.354719715677.8674378428548470.6452802844111.68801480066011
643080530819.124803475280.2129512347226-14.12480347518461.42467365438998
653134831339.915377695680.51926354649238.084622304414580.219527011648791
663455634138.133299810282.6420571643498417.8667001897751.35412856207817
673385534089.582477996682.5366727843818-234.582477996617-0.0653685461928826
683478734416.335282198382.732427108663370.6647178016610.121683780352055
693252932613.157814230381.2060269233796-84.1578142302568-0.93968564897635
702999830125.017728062478.9666936058242-127.01772806242-1.28031142489592
712925729037.095289550777.953433829972219.904710449300-0.581506741494442
722815528349.496496085978.3957169730201-194.49649608592-0.381369121001335
733046630966.743775056266.2895789615917-500.7437750562151.29268001433998
743570435566.54989697589.439680665689137.4501030250292.20042294842791
753932738851.193190687298.102107893078475.8068093128481.58811285119202
763935139372.602198707398.462311098805-21.60219870734390.210945071873762
774223442206.5373015617100.18000169289327.46269843832191.36297836136539
784363043182.2672408017100.798766967937447.7327591982690.436241182839662
794372243960.7554822547101.29928472723-238.7554822547350.337656651238612
804312142754.3600606516100.330791053466366.639939348429-0.651555003009512
813798538182.454755586396.7980551280977-197.454755586278-2.3279650212383
823713537176.850055144295.8897594441837-41.8500551441562-0.549326422101257
833464634452.810874557193.7871355597005193.189125442858-1.40517461792608
843302633337.229217041894.6588430202405-311.229217041816-0.602561324746505
853508735768.827980135185.9113120293703-681.827980135111.18369035757649
863884638738.891833704198.0919003115706107.1081662959461.40725563686474
874201341419.5793453686104.912753387668593.4206546313681.28310811028131
884390843956.0789094090107.09307957202-48.07890940904471.21171071519646
894286842984.9407026375106.459270030257-116.940702637490-0.537235227484615
904442343981.477257874107.038038139085441.5227421259860.443470757627863
914416744372.5566931015107.234079852451-205.5566931014690.141519445380485
924363643126.5326652158106.289080321448509.467334784168-0.674242192971694
934438244455.3770897801107.172113946131-73.37708978011680.609137269797436
944214242173.1122404364105.291190388622-31.1122404363553-1.19065244492877
954345243075.6437547926105.796580571879376.3562452074350.397235152210692
963691237649.3109002936110.242939655890-737.31090029361-2.75681604350344
974241342907.164949433394.8993543419254-494.1649494333442.59742205681868
984534445281.75980816102.99775064759362.24019183997871.11666392924856
994487344516.615015337100.778500105986356.384984662992-0.431185016171642
1004751047338.7292248506103.353928343971171.2707751494021.35606617744812
1014955449625.356694267104.591429604146-71.35669426698321.08782717577683
1024736947143.9651084185103.023693284218225.034891581489-1.28841969975429
1034599846178.2970615391102.327034857192-180.297061539144-0.532450785968873
1044814047620.4042418157103.221761452925519.595758184250.667516941337503
1054844148373.4258842606103.67652485826667.57411573939270.323760894201202
1064492845232.5708672791101.228893301080-304.570867279114-1.61674086575119
1074045440011.460289173498.3941335201582442.539710826619-2.65172657964579
1083866139602.691085255898.821925900948-941.69108525583-0.252771362646512
1093724637977.8539511592102.954148551263-731.853951159238-0.867264459380576
1103684336747.903097446198.912995972095295.0969025538642-0.654822958466854
1113642436233.841867885297.4040080170817190.158132114839-0.304382248886342
1123759437489.352105096798.5549844284914104.6478949032510.57707263022763
1133814438058.143269867598.817961226793485.85673013250.234298201469984
1143873738439.674772718898.9796121306475297.3252272811490.140855795547079
1153456035055.119918877296.8183193452674-495.119918877217-1.73556801764712
1163608035590.005652201697.1008794344995489.9943477984360.218255562447603
1173350833438.393253547895.563199031523969.6067464522415-1.12041490746348
1183546235351.440115764396.8761909522797110.5598842356850.905641830767138
1193337433079.998507442695.829560534939294.001492557447-1.17987807895508
1203211032953.18816888496.019367993776-843.188168884005-0.110977418502929
1213553335928.752607570990.4283054349298-395.7526075709131.44571717600499
1223553235435.736700946188.898936035666396.2632990539502-0.287281776231917
1233790337658.671944179293.9389609620354244.3280558207761.05953910091102
1243676336790.519792547792.9424054750085-27.519792547724-0.479375437775329
1254039940156.1857385494.7784017921807242.8142614599881.63066365106764
1264416443508.973370544496.554237379058655.0266294556091.62322339176908
1274449644989.386419784397.3764315853243-493.3864197843220.689460505252176
1284311042675.128951185395.8636349374046434.87104881475-1.20152562878502
1294388043845.555394736196.584642265618534.44460526388350.535399131003783
1304393043689.802058447896.4104914387764240.197941552222-0.125737322721171
1314432743986.739352603296.483073773849340.2606473968220.0998952442065748

\begin{tabular}{lllllllll}
\hline
Structural Time Series Model \tabularnewline
t & Observed & Level & Slope & Seasonal & Stand. Residuals \tabularnewline
1 & 27951 & 27951 & 0 & 0 & 0 \tabularnewline
2 & 29781 & 29682.28089074 & 94.8360384507106 & 98.7191092600225 & 0.51836229665984 \tabularnewline
3 & 32914 & 32768.5927317710 & 109.952745875076 & 145.407268229052 & 1.49314800553482 \tabularnewline
4 & 33488 & 33382.2670313682 & 111.910722440966 & 105.732968631828 & 0.251395316546961 \tabularnewline
5 & 35652 & 35508.9611128197 & 120.063512052557 & 143.038887180342 & 1.00551777214031 \tabularnewline
6 & 36488 & 36364.2112291855 & 123.031961438393 & 123.788770814542 & 0.366906790447081 \tabularnewline
7 & 35387 & 35286.7977561584 & 118.205145056431 & 100.202243841615 & -0.599097013549521 \tabularnewline
8 & 35676 & 35550.4022677571 & 118.787427597167 & 125.597732242853 & 0.0725627643357 \tabularnewline
9 & 34844 & 34741.0712000567 & 115.085404527458 & 102.928799943287 & -0.463181637887929 \tabularnewline
10 & 32447 & 32368.885179749 & 105.203741201730 & 78.1148202510191 & -1.24127416544803 \tabularnewline
11 & 31068 & 30976.9911953722 & 99.2794685790046 & 91.0088046277702 & -0.747121686018512 \tabularnewline
12 & 29010 & 28939.4990829648 & 90.8572249986265 & 70.5009170352003 & -1.06634066888066 \tabularnewline
13 & 29812 & 30226.2415092521 & 40.5280262815244 & -414.241509252065 & 0.718690690273583 \tabularnewline
14 & 30951 & 30918.2919915256 & 56.0286172369355 & 32.7080084743938 & 0.277682339239381 \tabularnewline
15 & 32974 & 32835.7762374909 & 62.025594903121 & 138.223762509147 & 0.927954184715646 \tabularnewline
16 & 32936 & 32916.5017034207 & 62.0577876371485 & 19.4982965793303 & 0.00932278959246116 \tabularnewline
17 & 34012 & 33916.8231038954 & 63.841483510242 & 95.17689610465 & 0.467763200097136 \tabularnewline
18 & 32946 & 32901.3890689135 & 61.768345041894 & 44.6109310864618 & -0.538063041200826 \tabularnewline
19 & 31948 & 31928.2379165700 & 59.7852300941277 & 19.7620834300432 & -0.515948985858539 \tabularnewline
20 & 30599 & 30559.4763579898 & 57.0535112408657 & 39.5236420101598 & -0.712186748607805 \tabularnewline
21 & 27691 & 27685.9107642143 & 51.46093704069 & 5.0892357857162 & -1.46102588532150 \tabularnewline
22 & 25073 & 25083.6848836642 & 46.3976557473744 & -10.6848836641880 & -1.32296616566363 \tabularnewline
23 & 23406 & 23361.4680611027 & 42.894866863837 & 44.531938897319 & -0.881791801049781 \tabularnewline
24 & 22248 & 22251.9903765833 & 41.1956829224418 & -3.99037658332042 & -0.574324122196805 \tabularnewline
25 & 22896 & 23120.2135022814 & 25.4458543024650 & -224.213502281417 & 0.451690573017219 \tabularnewline
26 & 25317 & 25278.9406591456 & 57.1481213243799 & 38.0593408543575 & 0.971641505830082 \tabularnewline
27 & 26558 & 26399.7861024948 & 60.2238543020195 & 158.213897505177 & 0.529915378754457 \tabularnewline
28 & 26471 & 26494.2208219606 & 60.2624444233553 & -23.2208219606183 & 0.0170509271014414 \tabularnewline
29 & 27543 & 27405.062687616 & 61.3464474506505 & 137.937312384023 & 0.423921795119697 \tabularnewline
30 & 26198 & 26194.516053605 & 59.6691727057241 & 3.48394639502692 & -0.633900608277372 \tabularnewline
31 & 24725 & 24733.6650434893 & 57.6659459002131 & -8.66504348929647 & -0.757814272322515 \tabularnewline
32 & 25005 & 24895.2434277214 & 57.8025609245567 & 109.756572278608 & 0.0517890242693413 \tabularnewline
33 & 23462 & 23454.4436997389 & 55.8359425373988 & 7.55630026111686 & -0.746888697081925 \tabularnewline
34 & 20780 & 20825.4435136019 & 52.2789042354535 & -45.44351360195 & -1.33811259145104 \tabularnewline
35 & 19815 & 19735.8647372108 & 50.6397187748101 & 79.1352627891573 & -0.569171531258271 \tabularnewline
36 & 19761 & 19757.0523196860 & 50.623861437004 & 3.94768031397104 & -0.0146718322625776 \tabularnewline
37 & 21454 & 21689.1024410216 & 28.2399228519063 & -235.102441021584 & 0.99319748823325 \tabularnewline
38 & 23899 & 23843.3372696162 & 50.6746348202733 & 55.6627303837962 & 0.996934222493038 \tabularnewline
39 & 24939 & 24773.2685533234 & 53.1525887745397 & 165.731446676632 & 0.437757322797109 \tabularnewline
40 & 23580 & 23711.4643688471 & 52.1469065672969 & -131.464368847107 & -0.555642364501479 \tabularnewline
41 & 24562 & 24366.4883085005 & 52.7350272111579 & 195.511691499461 & 0.300428788389833 \tabularnewline
42 & 24696 & 24647.0782174924 & 52.9725387584714 & 48.9217825075527 & 0.113545422278442 \tabularnewline
43 & 23785 & 23857.5768482635 & 52.0908788412837 & -72.5768482635257 & -0.419824893138959 \tabularnewline
44 & 23812 & 23683.9605008225 & 51.8553693419524 & 128.039499177493 & -0.112475219750298 \tabularnewline
45 & 21917 & 21910.2162483119 & 49.9526058594936 & 6.78375168808923 & -0.909738403324164 \tabularnewline
46 & 19713 & 19790.8026619157 & 47.6256539299926 & -77.8026619156559 & -1.08107773620776 \tabularnewline
47 & 19282 & 19183.3386404351 & 46.8545659790069 & 98.6613595648733 & -0.326503671533992 \tabularnewline
48 & 18788 & 18840.8666103537 & 46.8554931705810 & -52.8666103537255 & -0.193917984590527 \tabularnewline
49 & 21453 & 21599.1628482036 & 24.2214124404718 & -146.162848203643 & 1.40610889833399 \tabularnewline
50 & 24482 & 24388.8539724248 & 46.3347691212448 & 93.1460275751863 & 1.31841346638564 \tabularnewline
51 & 27474 & 27166.415802301 & 53.9638164133367 & 307.584197699019 & 1.35896161383151 \tabularnewline
52 & 27264 & 27446.5023344734 & 54.1504057658739 & -182.502334473404 & 0.112684657972148 \tabularnewline
53 & 27349 & 27192.3396652975 & 53.9028964930585 & 156.660334702478 & -0.153629386590793 \tabularnewline
54 & 30632 & 30398.4988375935 & 56.6913367178663 & 233.501162406494 & 1.57072476721767 \tabularnewline
55 & 29429 & 29593.3306442746 & 55.918298926904 & -164.330644274645 & -0.429452906865215 \tabularnewline
56 & 30084 & 29885.1916850191 & 56.1291767609185 & 198.808314980893 & 0.117566974594700 \tabularnewline
57 & 26290 & 26371.9154758604 & 52.9316217281738 & -81.9154758604054 & -1.77858825636033 \tabularnewline
58 & 24379 & 24470.5188504821 & 51.0857827839165 & -91.5188504821072 & -0.973866412523855 \tabularnewline
59 & 23335 & 23212.7903587817 & 49.7684304480313 & 122.209641218336 & -0.652280140643474 \tabularnewline
60 & 21346 & 21545.5943826743 & 50.3704437764581 & -199.594382674281 & -0.855219698479139 \tabularnewline
61 & 21106 & 21544.4730359414 & 50.68993049794 & -438.473035941421 & -0.0264114748618946 \tabularnewline
62 & 24514 & 24419.3552595546 & 68.4921058501969 & 94.644740445389 & 1.36078341621955 \tabularnewline
63 & 28353 & 27882.3547197156 & 77.8674378428548 & 470.645280284411 & 1.68801480066011 \tabularnewline
64 & 30805 & 30819.1248034752 & 80.2129512347226 & -14.1248034751846 & 1.42467365438998 \tabularnewline
65 & 31348 & 31339.9153776956 & 80.5192635464923 & 8.08462230441458 & 0.219527011648791 \tabularnewline
66 & 34556 & 34138.1332998102 & 82.6420571643498 & 417.866700189775 & 1.35412856207817 \tabularnewline
67 & 33855 & 34089.5824779966 & 82.5366727843818 & -234.582477996617 & -0.0653685461928826 \tabularnewline
68 & 34787 & 34416.3352821983 & 82.732427108663 & 370.664717801661 & 0.121683780352055 \tabularnewline
69 & 32529 & 32613.1578142303 & 81.2060269233796 & -84.1578142302568 & -0.93968564897635 \tabularnewline
70 & 29998 & 30125.0177280624 & 78.9666936058242 & -127.01772806242 & -1.28031142489592 \tabularnewline
71 & 29257 & 29037.0952895507 & 77.953433829972 & 219.904710449300 & -0.581506741494442 \tabularnewline
72 & 28155 & 28349.4964960859 & 78.3957169730201 & -194.49649608592 & -0.381369121001335 \tabularnewline
73 & 30466 & 30966.7437750562 & 66.2895789615917 & -500.743775056215 & 1.29268001433998 \tabularnewline
74 & 35704 & 35566.549896975 & 89.439680665689 & 137.450103025029 & 2.20042294842791 \tabularnewline
75 & 39327 & 38851.1931906872 & 98.102107893078 & 475.806809312848 & 1.58811285119202 \tabularnewline
76 & 39351 & 39372.6021987073 & 98.462311098805 & -21.6021987073439 & 0.210945071873762 \tabularnewline
77 & 42234 & 42206.5373015617 & 100.180001692893 & 27.4626984383219 & 1.36297836136539 \tabularnewline
78 & 43630 & 43182.2672408017 & 100.798766967937 & 447.732759198269 & 0.436241182839662 \tabularnewline
79 & 43722 & 43960.7554822547 & 101.29928472723 & -238.755482254735 & 0.337656651238612 \tabularnewline
80 & 43121 & 42754.3600606516 & 100.330791053466 & 366.639939348429 & -0.651555003009512 \tabularnewline
81 & 37985 & 38182.4547555863 & 96.7980551280977 & -197.454755586278 & -2.3279650212383 \tabularnewline
82 & 37135 & 37176.8500551442 & 95.8897594441837 & -41.8500551441562 & -0.549326422101257 \tabularnewline
83 & 34646 & 34452.8108745571 & 93.7871355597005 & 193.189125442858 & -1.40517461792608 \tabularnewline
84 & 33026 & 33337.2292170418 & 94.6588430202405 & -311.229217041816 & -0.602561324746505 \tabularnewline
85 & 35087 & 35768.8279801351 & 85.9113120293703 & -681.82798013511 & 1.18369035757649 \tabularnewline
86 & 38846 & 38738.8918337041 & 98.0919003115706 & 107.108166295946 & 1.40725563686474 \tabularnewline
87 & 42013 & 41419.5793453686 & 104.912753387668 & 593.420654631368 & 1.28310811028131 \tabularnewline
88 & 43908 & 43956.0789094090 & 107.09307957202 & -48.0789094090447 & 1.21171071519646 \tabularnewline
89 & 42868 & 42984.9407026375 & 106.459270030257 & -116.940702637490 & -0.537235227484615 \tabularnewline
90 & 44423 & 43981.477257874 & 107.038038139085 & 441.522742125986 & 0.443470757627863 \tabularnewline
91 & 44167 & 44372.5566931015 & 107.234079852451 & -205.556693101469 & 0.141519445380485 \tabularnewline
92 & 43636 & 43126.5326652158 & 106.289080321448 & 509.467334784168 & -0.674242192971694 \tabularnewline
93 & 44382 & 44455.3770897801 & 107.172113946131 & -73.3770897801168 & 0.609137269797436 \tabularnewline
94 & 42142 & 42173.1122404364 & 105.291190388622 & -31.1122404363553 & -1.19065244492877 \tabularnewline
95 & 43452 & 43075.6437547926 & 105.796580571879 & 376.356245207435 & 0.397235152210692 \tabularnewline
96 & 36912 & 37649.3109002936 & 110.242939655890 & -737.31090029361 & -2.75681604350344 \tabularnewline
97 & 42413 & 42907.1649494333 & 94.8993543419254 & -494.164949433344 & 2.59742205681868 \tabularnewline
98 & 45344 & 45281.75980816 & 102.997750647593 & 62.2401918399787 & 1.11666392924856 \tabularnewline
99 & 44873 & 44516.615015337 & 100.778500105986 & 356.384984662992 & -0.431185016171642 \tabularnewline
100 & 47510 & 47338.7292248506 & 103.353928343971 & 171.270775149402 & 1.35606617744812 \tabularnewline
101 & 49554 & 49625.356694267 & 104.591429604146 & -71.3566942669832 & 1.08782717577683 \tabularnewline
102 & 47369 & 47143.9651084185 & 103.023693284218 & 225.034891581489 & -1.28841969975429 \tabularnewline
103 & 45998 & 46178.2970615391 & 102.327034857192 & -180.297061539144 & -0.532450785968873 \tabularnewline
104 & 48140 & 47620.4042418157 & 103.221761452925 & 519.59575818425 & 0.667516941337503 \tabularnewline
105 & 48441 & 48373.4258842606 & 103.676524858266 & 67.5741157393927 & 0.323760894201202 \tabularnewline
106 & 44928 & 45232.5708672791 & 101.228893301080 & -304.570867279114 & -1.61674086575119 \tabularnewline
107 & 40454 & 40011.4602891734 & 98.3941335201582 & 442.539710826619 & -2.65172657964579 \tabularnewline
108 & 38661 & 39602.6910852558 & 98.821925900948 & -941.69108525583 & -0.252771362646512 \tabularnewline
109 & 37246 & 37977.8539511592 & 102.954148551263 & -731.853951159238 & -0.867264459380576 \tabularnewline
110 & 36843 & 36747.9030974461 & 98.9129959720952 & 95.0969025538642 & -0.654822958466854 \tabularnewline
111 & 36424 & 36233.8418678852 & 97.4040080170817 & 190.158132114839 & -0.304382248886342 \tabularnewline
112 & 37594 & 37489.3521050967 & 98.5549844284914 & 104.647894903251 & 0.57707263022763 \tabularnewline
113 & 38144 & 38058.1432698675 & 98.8179612267934 & 85.8567301325 & 0.234298201469984 \tabularnewline
114 & 38737 & 38439.6747727188 & 98.9796121306475 & 297.325227281149 & 0.140855795547079 \tabularnewline
115 & 34560 & 35055.1199188772 & 96.8183193452674 & -495.119918877217 & -1.73556801764712 \tabularnewline
116 & 36080 & 35590.0056522016 & 97.1008794344995 & 489.994347798436 & 0.218255562447603 \tabularnewline
117 & 33508 & 33438.3932535478 & 95.5631990315239 & 69.6067464522415 & -1.12041490746348 \tabularnewline
118 & 35462 & 35351.4401157643 & 96.8761909522797 & 110.559884235685 & 0.905641830767138 \tabularnewline
119 & 33374 & 33079.9985074426 & 95.829560534939 & 294.001492557447 & -1.17987807895508 \tabularnewline
120 & 32110 & 32953.188168884 & 96.019367993776 & -843.188168884005 & -0.110977418502929 \tabularnewline
121 & 35533 & 35928.7526075709 & 90.4283054349298 & -395.752607570913 & 1.44571717600499 \tabularnewline
122 & 35532 & 35435.7367009461 & 88.8989360356663 & 96.2632990539502 & -0.287281776231917 \tabularnewline
123 & 37903 & 37658.6719441792 & 93.9389609620354 & 244.328055820776 & 1.05953910091102 \tabularnewline
124 & 36763 & 36790.5197925477 & 92.9424054750085 & -27.519792547724 & -0.479375437775329 \tabularnewline
125 & 40399 & 40156.18573854 & 94.7784017921807 & 242.814261459988 & 1.63066365106764 \tabularnewline
126 & 44164 & 43508.9733705444 & 96.554237379058 & 655.026629455609 & 1.62322339176908 \tabularnewline
127 & 44496 & 44989.3864197843 & 97.3764315853243 & -493.386419784322 & 0.689460505252176 \tabularnewline
128 & 43110 & 42675.1289511853 & 95.8636349374046 & 434.87104881475 & -1.20152562878502 \tabularnewline
129 & 43880 & 43845.5553947361 & 96.5846422656185 & 34.4446052638835 & 0.535399131003783 \tabularnewline
130 & 43930 & 43689.8020584478 & 96.4104914387764 & 240.197941552222 & -0.125737322721171 \tabularnewline
131 & 44327 & 43986.7393526032 & 96.483073773849 & 340.260647396822 & 0.0998952442065748 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=112197&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]27951[/C][C]27951[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]29781[/C][C]29682.28089074[/C][C]94.8360384507106[/C][C]98.7191092600225[/C][C]0.51836229665984[/C][/ROW]
[ROW][C]3[/C][C]32914[/C][C]32768.5927317710[/C][C]109.952745875076[/C][C]145.407268229052[/C][C]1.49314800553482[/C][/ROW]
[ROW][C]4[/C][C]33488[/C][C]33382.2670313682[/C][C]111.910722440966[/C][C]105.732968631828[/C][C]0.251395316546961[/C][/ROW]
[ROW][C]5[/C][C]35652[/C][C]35508.9611128197[/C][C]120.063512052557[/C][C]143.038887180342[/C][C]1.00551777214031[/C][/ROW]
[ROW][C]6[/C][C]36488[/C][C]36364.2112291855[/C][C]123.031961438393[/C][C]123.788770814542[/C][C]0.366906790447081[/C][/ROW]
[ROW][C]7[/C][C]35387[/C][C]35286.7977561584[/C][C]118.205145056431[/C][C]100.202243841615[/C][C]-0.599097013549521[/C][/ROW]
[ROW][C]8[/C][C]35676[/C][C]35550.4022677571[/C][C]118.787427597167[/C][C]125.597732242853[/C][C]0.0725627643357[/C][/ROW]
[ROW][C]9[/C][C]34844[/C][C]34741.0712000567[/C][C]115.085404527458[/C][C]102.928799943287[/C][C]-0.463181637887929[/C][/ROW]
[ROW][C]10[/C][C]32447[/C][C]32368.885179749[/C][C]105.203741201730[/C][C]78.1148202510191[/C][C]-1.24127416544803[/C][/ROW]
[ROW][C]11[/C][C]31068[/C][C]30976.9911953722[/C][C]99.2794685790046[/C][C]91.0088046277702[/C][C]-0.747121686018512[/C][/ROW]
[ROW][C]12[/C][C]29010[/C][C]28939.4990829648[/C][C]90.8572249986265[/C][C]70.5009170352003[/C][C]-1.06634066888066[/C][/ROW]
[ROW][C]13[/C][C]29812[/C][C]30226.2415092521[/C][C]40.5280262815244[/C][C]-414.241509252065[/C][C]0.718690690273583[/C][/ROW]
[ROW][C]14[/C][C]30951[/C][C]30918.2919915256[/C][C]56.0286172369355[/C][C]32.7080084743938[/C][C]0.277682339239381[/C][/ROW]
[ROW][C]15[/C][C]32974[/C][C]32835.7762374909[/C][C]62.025594903121[/C][C]138.223762509147[/C][C]0.927954184715646[/C][/ROW]
[ROW][C]16[/C][C]32936[/C][C]32916.5017034207[/C][C]62.0577876371485[/C][C]19.4982965793303[/C][C]0.00932278959246116[/C][/ROW]
[ROW][C]17[/C][C]34012[/C][C]33916.8231038954[/C][C]63.841483510242[/C][C]95.17689610465[/C][C]0.467763200097136[/C][/ROW]
[ROW][C]18[/C][C]32946[/C][C]32901.3890689135[/C][C]61.768345041894[/C][C]44.6109310864618[/C][C]-0.538063041200826[/C][/ROW]
[ROW][C]19[/C][C]31948[/C][C]31928.2379165700[/C][C]59.7852300941277[/C][C]19.7620834300432[/C][C]-0.515948985858539[/C][/ROW]
[ROW][C]20[/C][C]30599[/C][C]30559.4763579898[/C][C]57.0535112408657[/C][C]39.5236420101598[/C][C]-0.712186748607805[/C][/ROW]
[ROW][C]21[/C][C]27691[/C][C]27685.9107642143[/C][C]51.46093704069[/C][C]5.0892357857162[/C][C]-1.46102588532150[/C][/ROW]
[ROW][C]22[/C][C]25073[/C][C]25083.6848836642[/C][C]46.3976557473744[/C][C]-10.6848836641880[/C][C]-1.32296616566363[/C][/ROW]
[ROW][C]23[/C][C]23406[/C][C]23361.4680611027[/C][C]42.894866863837[/C][C]44.531938897319[/C][C]-0.881791801049781[/C][/ROW]
[ROW][C]24[/C][C]22248[/C][C]22251.9903765833[/C][C]41.1956829224418[/C][C]-3.99037658332042[/C][C]-0.574324122196805[/C][/ROW]
[ROW][C]25[/C][C]22896[/C][C]23120.2135022814[/C][C]25.4458543024650[/C][C]-224.213502281417[/C][C]0.451690573017219[/C][/ROW]
[ROW][C]26[/C][C]25317[/C][C]25278.9406591456[/C][C]57.1481213243799[/C][C]38.0593408543575[/C][C]0.971641505830082[/C][/ROW]
[ROW][C]27[/C][C]26558[/C][C]26399.7861024948[/C][C]60.2238543020195[/C][C]158.213897505177[/C][C]0.529915378754457[/C][/ROW]
[ROW][C]28[/C][C]26471[/C][C]26494.2208219606[/C][C]60.2624444233553[/C][C]-23.2208219606183[/C][C]0.0170509271014414[/C][/ROW]
[ROW][C]29[/C][C]27543[/C][C]27405.062687616[/C][C]61.3464474506505[/C][C]137.937312384023[/C][C]0.423921795119697[/C][/ROW]
[ROW][C]30[/C][C]26198[/C][C]26194.516053605[/C][C]59.6691727057241[/C][C]3.48394639502692[/C][C]-0.633900608277372[/C][/ROW]
[ROW][C]31[/C][C]24725[/C][C]24733.6650434893[/C][C]57.6659459002131[/C][C]-8.66504348929647[/C][C]-0.757814272322515[/C][/ROW]
[ROW][C]32[/C][C]25005[/C][C]24895.2434277214[/C][C]57.8025609245567[/C][C]109.756572278608[/C][C]0.0517890242693413[/C][/ROW]
[ROW][C]33[/C][C]23462[/C][C]23454.4436997389[/C][C]55.8359425373988[/C][C]7.55630026111686[/C][C]-0.746888697081925[/C][/ROW]
[ROW][C]34[/C][C]20780[/C][C]20825.4435136019[/C][C]52.2789042354535[/C][C]-45.44351360195[/C][C]-1.33811259145104[/C][/ROW]
[ROW][C]35[/C][C]19815[/C][C]19735.8647372108[/C][C]50.6397187748101[/C][C]79.1352627891573[/C][C]-0.569171531258271[/C][/ROW]
[ROW][C]36[/C][C]19761[/C][C]19757.0523196860[/C][C]50.623861437004[/C][C]3.94768031397104[/C][C]-0.0146718322625776[/C][/ROW]
[ROW][C]37[/C][C]21454[/C][C]21689.1024410216[/C][C]28.2399228519063[/C][C]-235.102441021584[/C][C]0.99319748823325[/C][/ROW]
[ROW][C]38[/C][C]23899[/C][C]23843.3372696162[/C][C]50.6746348202733[/C][C]55.6627303837962[/C][C]0.996934222493038[/C][/ROW]
[ROW][C]39[/C][C]24939[/C][C]24773.2685533234[/C][C]53.1525887745397[/C][C]165.731446676632[/C][C]0.437757322797109[/C][/ROW]
[ROW][C]40[/C][C]23580[/C][C]23711.4643688471[/C][C]52.1469065672969[/C][C]-131.464368847107[/C][C]-0.555642364501479[/C][/ROW]
[ROW][C]41[/C][C]24562[/C][C]24366.4883085005[/C][C]52.7350272111579[/C][C]195.511691499461[/C][C]0.300428788389833[/C][/ROW]
[ROW][C]42[/C][C]24696[/C][C]24647.0782174924[/C][C]52.9725387584714[/C][C]48.9217825075527[/C][C]0.113545422278442[/C][/ROW]
[ROW][C]43[/C][C]23785[/C][C]23857.5768482635[/C][C]52.0908788412837[/C][C]-72.5768482635257[/C][C]-0.419824893138959[/C][/ROW]
[ROW][C]44[/C][C]23812[/C][C]23683.9605008225[/C][C]51.8553693419524[/C][C]128.039499177493[/C][C]-0.112475219750298[/C][/ROW]
[ROW][C]45[/C][C]21917[/C][C]21910.2162483119[/C][C]49.9526058594936[/C][C]6.78375168808923[/C][C]-0.909738403324164[/C][/ROW]
[ROW][C]46[/C][C]19713[/C][C]19790.8026619157[/C][C]47.6256539299926[/C][C]-77.8026619156559[/C][C]-1.08107773620776[/C][/ROW]
[ROW][C]47[/C][C]19282[/C][C]19183.3386404351[/C][C]46.8545659790069[/C][C]98.6613595648733[/C][C]-0.326503671533992[/C][/ROW]
[ROW][C]48[/C][C]18788[/C][C]18840.8666103537[/C][C]46.8554931705810[/C][C]-52.8666103537255[/C][C]-0.193917984590527[/C][/ROW]
[ROW][C]49[/C][C]21453[/C][C]21599.1628482036[/C][C]24.2214124404718[/C][C]-146.162848203643[/C][C]1.40610889833399[/C][/ROW]
[ROW][C]50[/C][C]24482[/C][C]24388.8539724248[/C][C]46.3347691212448[/C][C]93.1460275751863[/C][C]1.31841346638564[/C][/ROW]
[ROW][C]51[/C][C]27474[/C][C]27166.415802301[/C][C]53.9638164133367[/C][C]307.584197699019[/C][C]1.35896161383151[/C][/ROW]
[ROW][C]52[/C][C]27264[/C][C]27446.5023344734[/C][C]54.1504057658739[/C][C]-182.502334473404[/C][C]0.112684657972148[/C][/ROW]
[ROW][C]53[/C][C]27349[/C][C]27192.3396652975[/C][C]53.9028964930585[/C][C]156.660334702478[/C][C]-0.153629386590793[/C][/ROW]
[ROW][C]54[/C][C]30632[/C][C]30398.4988375935[/C][C]56.6913367178663[/C][C]233.501162406494[/C][C]1.57072476721767[/C][/ROW]
[ROW][C]55[/C][C]29429[/C][C]29593.3306442746[/C][C]55.918298926904[/C][C]-164.330644274645[/C][C]-0.429452906865215[/C][/ROW]
[ROW][C]56[/C][C]30084[/C][C]29885.1916850191[/C][C]56.1291767609185[/C][C]198.808314980893[/C][C]0.117566974594700[/C][/ROW]
[ROW][C]57[/C][C]26290[/C][C]26371.9154758604[/C][C]52.9316217281738[/C][C]-81.9154758604054[/C][C]-1.77858825636033[/C][/ROW]
[ROW][C]58[/C][C]24379[/C][C]24470.5188504821[/C][C]51.0857827839165[/C][C]-91.5188504821072[/C][C]-0.973866412523855[/C][/ROW]
[ROW][C]59[/C][C]23335[/C][C]23212.7903587817[/C][C]49.7684304480313[/C][C]122.209641218336[/C][C]-0.652280140643474[/C][/ROW]
[ROW][C]60[/C][C]21346[/C][C]21545.5943826743[/C][C]50.3704437764581[/C][C]-199.594382674281[/C][C]-0.855219698479139[/C][/ROW]
[ROW][C]61[/C][C]21106[/C][C]21544.4730359414[/C][C]50.68993049794[/C][C]-438.473035941421[/C][C]-0.0264114748618946[/C][/ROW]
[ROW][C]62[/C][C]24514[/C][C]24419.3552595546[/C][C]68.4921058501969[/C][C]94.644740445389[/C][C]1.36078341621955[/C][/ROW]
[ROW][C]63[/C][C]28353[/C][C]27882.3547197156[/C][C]77.8674378428548[/C][C]470.645280284411[/C][C]1.68801480066011[/C][/ROW]
[ROW][C]64[/C][C]30805[/C][C]30819.1248034752[/C][C]80.2129512347226[/C][C]-14.1248034751846[/C][C]1.42467365438998[/C][/ROW]
[ROW][C]65[/C][C]31348[/C][C]31339.9153776956[/C][C]80.5192635464923[/C][C]8.08462230441458[/C][C]0.219527011648791[/C][/ROW]
[ROW][C]66[/C][C]34556[/C][C]34138.1332998102[/C][C]82.6420571643498[/C][C]417.866700189775[/C][C]1.35412856207817[/C][/ROW]
[ROW][C]67[/C][C]33855[/C][C]34089.5824779966[/C][C]82.5366727843818[/C][C]-234.582477996617[/C][C]-0.0653685461928826[/C][/ROW]
[ROW][C]68[/C][C]34787[/C][C]34416.3352821983[/C][C]82.732427108663[/C][C]370.664717801661[/C][C]0.121683780352055[/C][/ROW]
[ROW][C]69[/C][C]32529[/C][C]32613.1578142303[/C][C]81.2060269233796[/C][C]-84.1578142302568[/C][C]-0.93968564897635[/C][/ROW]
[ROW][C]70[/C][C]29998[/C][C]30125.0177280624[/C][C]78.9666936058242[/C][C]-127.01772806242[/C][C]-1.28031142489592[/C][/ROW]
[ROW][C]71[/C][C]29257[/C][C]29037.0952895507[/C][C]77.953433829972[/C][C]219.904710449300[/C][C]-0.581506741494442[/C][/ROW]
[ROW][C]72[/C][C]28155[/C][C]28349.4964960859[/C][C]78.3957169730201[/C][C]-194.49649608592[/C][C]-0.381369121001335[/C][/ROW]
[ROW][C]73[/C][C]30466[/C][C]30966.7437750562[/C][C]66.2895789615917[/C][C]-500.743775056215[/C][C]1.29268001433998[/C][/ROW]
[ROW][C]74[/C][C]35704[/C][C]35566.549896975[/C][C]89.439680665689[/C][C]137.450103025029[/C][C]2.20042294842791[/C][/ROW]
[ROW][C]75[/C][C]39327[/C][C]38851.1931906872[/C][C]98.102107893078[/C][C]475.806809312848[/C][C]1.58811285119202[/C][/ROW]
[ROW][C]76[/C][C]39351[/C][C]39372.6021987073[/C][C]98.462311098805[/C][C]-21.6021987073439[/C][C]0.210945071873762[/C][/ROW]
[ROW][C]77[/C][C]42234[/C][C]42206.5373015617[/C][C]100.180001692893[/C][C]27.4626984383219[/C][C]1.36297836136539[/C][/ROW]
[ROW][C]78[/C][C]43630[/C][C]43182.2672408017[/C][C]100.798766967937[/C][C]447.732759198269[/C][C]0.436241182839662[/C][/ROW]
[ROW][C]79[/C][C]43722[/C][C]43960.7554822547[/C][C]101.29928472723[/C][C]-238.755482254735[/C][C]0.337656651238612[/C][/ROW]
[ROW][C]80[/C][C]43121[/C][C]42754.3600606516[/C][C]100.330791053466[/C][C]366.639939348429[/C][C]-0.651555003009512[/C][/ROW]
[ROW][C]81[/C][C]37985[/C][C]38182.4547555863[/C][C]96.7980551280977[/C][C]-197.454755586278[/C][C]-2.3279650212383[/C][/ROW]
[ROW][C]82[/C][C]37135[/C][C]37176.8500551442[/C][C]95.8897594441837[/C][C]-41.8500551441562[/C][C]-0.549326422101257[/C][/ROW]
[ROW][C]83[/C][C]34646[/C][C]34452.8108745571[/C][C]93.7871355597005[/C][C]193.189125442858[/C][C]-1.40517461792608[/C][/ROW]
[ROW][C]84[/C][C]33026[/C][C]33337.2292170418[/C][C]94.6588430202405[/C][C]-311.229217041816[/C][C]-0.602561324746505[/C][/ROW]
[ROW][C]85[/C][C]35087[/C][C]35768.8279801351[/C][C]85.9113120293703[/C][C]-681.82798013511[/C][C]1.18369035757649[/C][/ROW]
[ROW][C]86[/C][C]38846[/C][C]38738.8918337041[/C][C]98.0919003115706[/C][C]107.108166295946[/C][C]1.40725563686474[/C][/ROW]
[ROW][C]87[/C][C]42013[/C][C]41419.5793453686[/C][C]104.912753387668[/C][C]593.420654631368[/C][C]1.28310811028131[/C][/ROW]
[ROW][C]88[/C][C]43908[/C][C]43956.0789094090[/C][C]107.09307957202[/C][C]-48.0789094090447[/C][C]1.21171071519646[/C][/ROW]
[ROW][C]89[/C][C]42868[/C][C]42984.9407026375[/C][C]106.459270030257[/C][C]-116.940702637490[/C][C]-0.537235227484615[/C][/ROW]
[ROW][C]90[/C][C]44423[/C][C]43981.477257874[/C][C]107.038038139085[/C][C]441.522742125986[/C][C]0.443470757627863[/C][/ROW]
[ROW][C]91[/C][C]44167[/C][C]44372.5566931015[/C][C]107.234079852451[/C][C]-205.556693101469[/C][C]0.141519445380485[/C][/ROW]
[ROW][C]92[/C][C]43636[/C][C]43126.5326652158[/C][C]106.289080321448[/C][C]509.467334784168[/C][C]-0.674242192971694[/C][/ROW]
[ROW][C]93[/C][C]44382[/C][C]44455.3770897801[/C][C]107.172113946131[/C][C]-73.3770897801168[/C][C]0.609137269797436[/C][/ROW]
[ROW][C]94[/C][C]42142[/C][C]42173.1122404364[/C][C]105.291190388622[/C][C]-31.1122404363553[/C][C]-1.19065244492877[/C][/ROW]
[ROW][C]95[/C][C]43452[/C][C]43075.6437547926[/C][C]105.796580571879[/C][C]376.356245207435[/C][C]0.397235152210692[/C][/ROW]
[ROW][C]96[/C][C]36912[/C][C]37649.3109002936[/C][C]110.242939655890[/C][C]-737.31090029361[/C][C]-2.75681604350344[/C][/ROW]
[ROW][C]97[/C][C]42413[/C][C]42907.1649494333[/C][C]94.8993543419254[/C][C]-494.164949433344[/C][C]2.59742205681868[/C][/ROW]
[ROW][C]98[/C][C]45344[/C][C]45281.75980816[/C][C]102.997750647593[/C][C]62.2401918399787[/C][C]1.11666392924856[/C][/ROW]
[ROW][C]99[/C][C]44873[/C][C]44516.615015337[/C][C]100.778500105986[/C][C]356.384984662992[/C][C]-0.431185016171642[/C][/ROW]
[ROW][C]100[/C][C]47510[/C][C]47338.7292248506[/C][C]103.353928343971[/C][C]171.270775149402[/C][C]1.35606617744812[/C][/ROW]
[ROW][C]101[/C][C]49554[/C][C]49625.356694267[/C][C]104.591429604146[/C][C]-71.3566942669832[/C][C]1.08782717577683[/C][/ROW]
[ROW][C]102[/C][C]47369[/C][C]47143.9651084185[/C][C]103.023693284218[/C][C]225.034891581489[/C][C]-1.28841969975429[/C][/ROW]
[ROW][C]103[/C][C]45998[/C][C]46178.2970615391[/C][C]102.327034857192[/C][C]-180.297061539144[/C][C]-0.532450785968873[/C][/ROW]
[ROW][C]104[/C][C]48140[/C][C]47620.4042418157[/C][C]103.221761452925[/C][C]519.59575818425[/C][C]0.667516941337503[/C][/ROW]
[ROW][C]105[/C][C]48441[/C][C]48373.4258842606[/C][C]103.676524858266[/C][C]67.5741157393927[/C][C]0.323760894201202[/C][/ROW]
[ROW][C]106[/C][C]44928[/C][C]45232.5708672791[/C][C]101.228893301080[/C][C]-304.570867279114[/C][C]-1.61674086575119[/C][/ROW]
[ROW][C]107[/C][C]40454[/C][C]40011.4602891734[/C][C]98.3941335201582[/C][C]442.539710826619[/C][C]-2.65172657964579[/C][/ROW]
[ROW][C]108[/C][C]38661[/C][C]39602.6910852558[/C][C]98.821925900948[/C][C]-941.69108525583[/C][C]-0.252771362646512[/C][/ROW]
[ROW][C]109[/C][C]37246[/C][C]37977.8539511592[/C][C]102.954148551263[/C][C]-731.853951159238[/C][C]-0.867264459380576[/C][/ROW]
[ROW][C]110[/C][C]36843[/C][C]36747.9030974461[/C][C]98.9129959720952[/C][C]95.0969025538642[/C][C]-0.654822958466854[/C][/ROW]
[ROW][C]111[/C][C]36424[/C][C]36233.8418678852[/C][C]97.4040080170817[/C][C]190.158132114839[/C][C]-0.304382248886342[/C][/ROW]
[ROW][C]112[/C][C]37594[/C][C]37489.3521050967[/C][C]98.5549844284914[/C][C]104.647894903251[/C][C]0.57707263022763[/C][/ROW]
[ROW][C]113[/C][C]38144[/C][C]38058.1432698675[/C][C]98.8179612267934[/C][C]85.8567301325[/C][C]0.234298201469984[/C][/ROW]
[ROW][C]114[/C][C]38737[/C][C]38439.6747727188[/C][C]98.9796121306475[/C][C]297.325227281149[/C][C]0.140855795547079[/C][/ROW]
[ROW][C]115[/C][C]34560[/C][C]35055.1199188772[/C][C]96.8183193452674[/C][C]-495.119918877217[/C][C]-1.73556801764712[/C][/ROW]
[ROW][C]116[/C][C]36080[/C][C]35590.0056522016[/C][C]97.1008794344995[/C][C]489.994347798436[/C][C]0.218255562447603[/C][/ROW]
[ROW][C]117[/C][C]33508[/C][C]33438.3932535478[/C][C]95.5631990315239[/C][C]69.6067464522415[/C][C]-1.12041490746348[/C][/ROW]
[ROW][C]118[/C][C]35462[/C][C]35351.4401157643[/C][C]96.8761909522797[/C][C]110.559884235685[/C][C]0.905641830767138[/C][/ROW]
[ROW][C]119[/C][C]33374[/C][C]33079.9985074426[/C][C]95.829560534939[/C][C]294.001492557447[/C][C]-1.17987807895508[/C][/ROW]
[ROW][C]120[/C][C]32110[/C][C]32953.188168884[/C][C]96.019367993776[/C][C]-843.188168884005[/C][C]-0.110977418502929[/C][/ROW]
[ROW][C]121[/C][C]35533[/C][C]35928.7526075709[/C][C]90.4283054349298[/C][C]-395.752607570913[/C][C]1.44571717600499[/C][/ROW]
[ROW][C]122[/C][C]35532[/C][C]35435.7367009461[/C][C]88.8989360356663[/C][C]96.2632990539502[/C][C]-0.287281776231917[/C][/ROW]
[ROW][C]123[/C][C]37903[/C][C]37658.6719441792[/C][C]93.9389609620354[/C][C]244.328055820776[/C][C]1.05953910091102[/C][/ROW]
[ROW][C]124[/C][C]36763[/C][C]36790.5197925477[/C][C]92.9424054750085[/C][C]-27.519792547724[/C][C]-0.479375437775329[/C][/ROW]
[ROW][C]125[/C][C]40399[/C][C]40156.18573854[/C][C]94.7784017921807[/C][C]242.814261459988[/C][C]1.63066365106764[/C][/ROW]
[ROW][C]126[/C][C]44164[/C][C]43508.9733705444[/C][C]96.554237379058[/C][C]655.026629455609[/C][C]1.62322339176908[/C][/ROW]
[ROW][C]127[/C][C]44496[/C][C]44989.3864197843[/C][C]97.3764315853243[/C][C]-493.386419784322[/C][C]0.689460505252176[/C][/ROW]
[ROW][C]128[/C][C]43110[/C][C]42675.1289511853[/C][C]95.8636349374046[/C][C]434.87104881475[/C][C]-1.20152562878502[/C][/ROW]
[ROW][C]129[/C][C]43880[/C][C]43845.5553947361[/C][C]96.5846422656185[/C][C]34.4446052638835[/C][C]0.535399131003783[/C][/ROW]
[ROW][C]130[/C][C]43930[/C][C]43689.8020584478[/C][C]96.4104914387764[/C][C]240.197941552222[/C][C]-0.125737322721171[/C][/ROW]
[ROW][C]131[/C][C]44327[/C][C]43986.7393526032[/C][C]96.483073773849[/C][C]340.260647396822[/C][C]0.0998952442065748[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=112197&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=112197&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
12795127951000
22978129682.2808907494.836038450710698.71910926002250.51836229665984
33291432768.5927317710109.952745875076145.4072682290521.49314800553482
43348833382.2670313682111.910722440966105.7329686318280.251395316546961
53565235508.9611128197120.063512052557143.0388871803421.00551777214031
63648836364.2112291855123.031961438393123.7887708145420.366906790447081
73538735286.7977561584118.205145056431100.202243841615-0.599097013549521
83567635550.4022677571118.787427597167125.5977322428530.0725627643357
93484434741.0712000567115.085404527458102.928799943287-0.463181637887929
103244732368.885179749105.20374120173078.1148202510191-1.24127416544803
113106830976.991195372299.279468579004691.0088046277702-0.747121686018512
122901028939.499082964890.857224998626570.5009170352003-1.06634066888066
132981230226.241509252140.5280262815244-414.2415092520650.718690690273583
143095130918.291991525656.028617236935532.70800847439380.277682339239381
153297432835.776237490962.025594903121138.2237625091470.927954184715646
163293632916.501703420762.057787637148519.49829657933030.00932278959246116
173401233916.823103895463.84148351024295.176896104650.467763200097136
183294632901.389068913561.76834504189444.6109310864618-0.538063041200826
193194831928.237916570059.785230094127719.7620834300432-0.515948985858539
203059930559.476357989857.053511240865739.5236420101598-0.712186748607805
212769127685.910764214351.460937040695.0892357857162-1.46102588532150
222507325083.684883664246.3976557473744-10.6848836641880-1.32296616566363
232340623361.468061102742.89486686383744.531938897319-0.881791801049781
242224822251.990376583341.1956829224418-3.99037658332042-0.574324122196805
252289623120.213502281425.4458543024650-224.2135022814170.451690573017219
262531725278.940659145657.148121324379938.05934085435750.971641505830082
272655826399.786102494860.2238543020195158.2138975051770.529915378754457
282647126494.220821960660.2624444233553-23.22082196061830.0170509271014414
292754327405.06268761661.3464474506505137.9373123840230.423921795119697
302619826194.51605360559.66917270572413.48394639502692-0.633900608277372
312472524733.665043489357.6659459002131-8.66504348929647-0.757814272322515
322500524895.243427721457.8025609245567109.7565722786080.0517890242693413
332346223454.443699738955.83594253739887.55630026111686-0.746888697081925
342078020825.443513601952.2789042354535-45.44351360195-1.33811259145104
351981519735.864737210850.639718774810179.1352627891573-0.569171531258271
361976119757.052319686050.6238614370043.94768031397104-0.0146718322625776
372145421689.102441021628.2399228519063-235.1024410215840.99319748823325
382389923843.337269616250.674634820273355.66273038379620.996934222493038
392493924773.268553323453.1525887745397165.7314466766320.437757322797109
402358023711.464368847152.1469065672969-131.464368847107-0.555642364501479
412456224366.488308500552.7350272111579195.5116914994610.300428788389833
422469624647.078217492452.972538758471448.92178250755270.113545422278442
432378523857.576848263552.0908788412837-72.5768482635257-0.419824893138959
442381223683.960500822551.8553693419524128.039499177493-0.112475219750298
452191721910.216248311949.95260585949366.78375168808923-0.909738403324164
461971319790.802661915747.6256539299926-77.8026619156559-1.08107773620776
471928219183.338640435146.854565979006998.6613595648733-0.326503671533992
481878818840.866610353746.8554931705810-52.8666103537255-0.193917984590527
492145321599.162848203624.2214124404718-146.1628482036431.40610889833399
502448224388.853972424846.334769121244893.14602757518631.31841346638564
512747427166.41580230153.9638164133367307.5841976990191.35896161383151
522726427446.502334473454.1504057658739-182.5023344734040.112684657972148
532734927192.339665297553.9028964930585156.660334702478-0.153629386590793
543063230398.498837593556.6913367178663233.5011624064941.57072476721767
552942929593.330644274655.918298926904-164.330644274645-0.429452906865215
563008429885.191685019156.1291767609185198.8083149808930.117566974594700
572629026371.915475860452.9316217281738-81.9154758604054-1.77858825636033
582437924470.518850482151.0857827839165-91.5188504821072-0.973866412523855
592333523212.790358781749.7684304480313122.209641218336-0.652280140643474
602134621545.594382674350.3704437764581-199.594382674281-0.855219698479139
612110621544.473035941450.68993049794-438.473035941421-0.0264114748618946
622451424419.355259554668.492105850196994.6447404453891.36078341621955
632835327882.354719715677.8674378428548470.6452802844111.68801480066011
643080530819.124803475280.2129512347226-14.12480347518461.42467365438998
653134831339.915377695680.51926354649238.084622304414580.219527011648791
663455634138.133299810282.6420571643498417.8667001897751.35412856207817
673385534089.582477996682.5366727843818-234.582477996617-0.0653685461928826
683478734416.335282198382.732427108663370.6647178016610.121683780352055
693252932613.157814230381.2060269233796-84.1578142302568-0.93968564897635
702999830125.017728062478.9666936058242-127.01772806242-1.28031142489592
712925729037.095289550777.953433829972219.904710449300-0.581506741494442
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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')