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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_structuraltimeseries.wasp
Title produced by softwareStructural Time Series Models
Date of computationFri, 16 Dec 2011 09:32:35 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2011/Dec/16/t1324046029ogwdrs6ykifw2a7.htm/, Retrieved Sun, 05 May 2024 17:02:54 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=155982, Retrieved Sun, 05 May 2024 17:02:54 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact56
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...] [2011-12-16 14:32:35] [635499bc27d9f41bf7bccae25a54e146] [Current]
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Dataseries X:
9.492
8.641
9.793
9.603
9.238
9.535
10.295
9.941
9.984
9.563
8.872
9.302
9.215
8.834
9.998
9.604
9.507
9.718
10.095
9.583
9.883
9.365
8.919
9.449
9.769
9.321
9.939
9.336
10.195
9.464
10.010
10.213
9.563
9.890
9.305
9.391
9.928
8.686
9.843
9.627
10.074
9.503
10.119
10.000
9.313
9.866
9.172
9.241
9.659
8.904
9.755
9.080
9.435
8.971
10.063
9.793
9.454
9.759
8.820
9.403
9.676
8.642
9.402
9.610
9.294
9.448
10.319
9.548
9.801
9.596
8.923
9.746
9.829
9.125
9.782
9.441
9.162
9.915
10.444
10.209
9.985
9.842
9.429
10.132
9.849
9.172
10.313
9.819
9.955
10.048
10.082
10.541
10.208
10.233
9.439
9.963
10.158
9.225
10.474
9.757
10.490
10.281
10.444
10.640
10.695
10.786
9.832
9.747
10.411
9.511
10.402
9.701
10.540
10.112
10.915
11.183
10.384
10.834
9.886
10.216
10.943
9.867
10.203
10.837
10.573
10.647
11.502
10.656
10.866
10.835
9.945
10.331




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time5 seconds
R Server'George Udny Yule' @ yule.wessa.net

\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 & 5 seconds \tabularnewline
R Server & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=155982&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]5 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=155982&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=155982&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 time5 seconds
R Server'George Udny Yule' @ yule.wessa.net







Structural Time Series Model
tObservedLevelSlopeSeasonalStand. Residuals
19.4929.492000
28.6419.46408379192756-0.0026192003101249-0.443676699052849-2.97648108881255
39.7939.47089725672169-0.0006557184475010390.3049024655338150.154405439579015
49.6039.503016351464220.005074101298767960.05691913963142580.415665508207088
59.2389.45477139975154-0.0028315658090655-0.145625820783147-0.688735233886825
69.5359.4586602750456-0.001969425387702650.06649504577849930.0938492833305687
710.2959.620175853648120.0165228432975290.4103910914182592.47984606245867
89.9419.724902611044130.02546897827832160.06018995588965361.44184312541942
99.9849.80640455143810.03064121353461190.07071453484411820.977312925616934
109.5639.800343600525560.0275170432747632-0.162671561193947-0.676596295405226
118.8729.663939857513480.0144979987069842-0.439831676293673-3.16700861387028
129.3029.578456789705780.00701109294814515-0.0517003683553388-2.00952517981771
139.2159.517482137074540.00380545086165829-0.0876785493291204-1.94951011842038
148.8349.467560357708550.000648299042055601-0.500005748199808-1.24215860499341
159.9989.482595710660370.001571620160465320.4847938046012480.292405600440018
169.6049.491938002256840.00207737319654530.09618480611509220.153404607036506
179.5079.526136112566470.00414257780187391-0.08566435411062880.643827590374969
189.7189.57877666261410.007198287672570240.03562685650638341.000286990986
1910.0959.625637228649670.009645510883946980.3818526611504670.842226857762804
209.5839.636376315561280.00971172858553776-0.055858700699620.0238166543280093
219.8839.656739399567250.01034643801323590.2015124133831760.236794129983602
229.3659.62596829632910.00792996515878412-0.163614821309948-0.929265207176889
238.9199.570461247231390.00425305624530338-0.498800294615332-1.45378595911849
249.4499.533753379103530.00192459428725420.015615797493666-0.953613177121575
259.7699.555834281801780.003024437191518740.1619302101443740.488575668744954
269.3219.599937000760840.00529984273002787-0.3810744188292880.975850815175337
279.9399.60309007786060.005178658102588120.341074140490805-0.0495837408033472
289.3369.571036764948710.00305559208704717-0.147083775883459-0.847616521921338
2910.1959.662276188285130.008101412315126230.325378154355842.00169087730255
309.4649.668242282493070.00797923281350222-0.199209068865858-0.0486096585839384
3110.019.669960388447310.007621509067758730.354873264825323-0.143221864701154
3210.2139.74665401756150.0115602466532490.3018291098834241.58759183291766
339.5639.716810061486690.0092040057802847-0.0547460824053272-0.955393002750035
349.899.74556039382550.01031400390655630.09751317890698950.452311319650377
359.3059.763004888467140.0107179394828737-0.4751653063656610.165339279244355
369.3919.73307996472580.0084226777303023-0.244047726061206-0.944684087501762
379.9289.740867184556480.008386907799573890.188671525730459-0.0148452130345561
388.6869.665697851369150.00367598675707164-0.77780969200856-1.94806005499486
399.8439.627035876370590.001282539256337650.317588447913796-0.981370329728857
409.6279.646976011898930.00233923446050199-0.06452199397932130.430605708752954
4110.0749.665650697777240.00326521540763550.3694380863065970.376400347890794
429.5039.679045274987170.00383954372202357-0.2001717576679130.233456740243214
4310.1199.703166720083980.004989441266084470.3674775295383710.467926884575457
44109.706494970501960.00489527765322530.297470197122108-0.0383658566915952
459.3139.670315453706920.00256760480286543-0.259190714800817-0.94928438885586
469.8669.670806604143530.002449973429155350.200155460115617-0.047999284686167
479.1729.659626421960550.00167814651690614-0.455058017180269-0.315056295601323
489.2419.62947630356555-0.000123329524121422-0.312428398354393-0.735875774910517
499.6599.5871370305513-0.002511977270235770.172791467586166-0.977007803518858
508.9049.5806375713041-0.00273763589689457-0.667103862726227-0.0922885255460016
519.7559.56278166950662-0.003593480415136080.228320182730347-0.349506253563166
529.089.50686903300886-0.00655587860165839-0.302113420600435-1.20808036081547
539.4359.43449255344966-0.01028300794785840.157330779351611-1.51899490979653
548.9719.37590779415166-0.0130181090869519-0.289836023907819-1.11475783671443
5510.0639.38558270854871-0.011733140768560.6233388487125070.523908240477425
569.7939.38495177383666-0.01110450417782370.3815825402171360.256391432846624
579.4549.41420131399478-0.0088196089545702-0.05641092947783510.932009793721034
589.7599.42800645342913-0.007538626209402920.2770600532093940.52246506414581
598.829.39996049160615-0.00869963629964558-0.53108825234086-0.473469289352712
609.4039.41741758274443-0.00721892330749279-0.0767433890355940.603897511365334
619.6769.42340982048769-0.006471091061271440.2211053510214450.305107762837173
628.6429.39928915830108-0.00747018080456994-0.715219767757776-0.407677930053947
639.4029.34833005116248-0.009932043247509650.157305711544377-1.00429187018632
649.619.38637978378686-0.007215832452789370.1093272719678021.10764099249316
659.2949.35683735229701-0.00847969417789618-0.00967113291740937-0.515295956942483
669.4489.3966114518318-0.00574822663844966-0.06351196346143621.11371382525782
6710.3199.44532715834542-0.002665277026176750.74397092228951.25721581641757
689.5489.43057810528695-0.003349281937300130.146201923840417-0.278966510377622
699.8019.4809062818552-0.0003108472152335060.1922477281350811.23920123720728
709.5969.47366781525123-0.000702986371383830.138830159298026-0.159914379119791
718.9239.47399603115834-0.000644616043936187-0.5534514129772780.0238009160200199
729.7469.517600672547690.001860009582378780.1230468676775821.02128775600481
739.8299.538834014207820.002956572460818740.2440372539863480.44719357595253
749.1259.581998385119030.00523240129685249-0.55274335397060.92819630625367
759.7829.611503479559540.00660628225982730.1126997425811920.560305043304236
769.4419.592487347252290.00515601297234498-0.0904856992164165-0.591385934369573
779.1629.551271568305050.00253133697734597-0.278883521977391-1.07020702271079
789.9159.603588870837750.005349212524498710.1928991122399541.14900604570718
7910.4449.634640987129060.006803979120748140.748172420515150.593229258009171
8010.2099.709071944912980.01063161831010110.3389318984656471.56092214638798
819.9859.748064951538790.01223685781268050.1694164517084590.654616174245825
829.8429.766475502202010.01258628550170090.06082793718658970.142488750788285
839.4299.816034025813370.0146788803063945-0.4750400710573170.853268532733461
8410.1329.868664799496280.01682690050286610.1730006889674880.875868715498548
859.8499.86870803487820.01587697704870430.0202421001019259-0.387357142013385
869.1729.864225585095340.0147246731091726-0.643762144246734-0.469902436966855
8710.3139.910232041888550.01649516339254840.3283056887984920.721984808110396
889.8199.931881983184220.0167869134463254-0.1251515935184040.118966649066751
899.9559.997752619648550.0195649349573871-0.1595774891613541.13275598942927
9010.04810.02019280390070.01972766603490450.02096388461445980.0663550258470844
9110.0829.968036358914570.01565924275170130.285056194217287-1.65898270047
9210.5419.99903177167540.01652722337224630.5054655577391720.353944643616034
9310.20810.02587015446950.01711080447083470.1575875361067360.237971578954102
9410.23310.06879309208290.01857169473729390.1027712672206110.595704355902275
959.43910.07748219771240.0180123711086847-0.614961394782026-0.228068962298549
969.96310.05368219526380.01564593213908120.00883060146876596-0.964934913243708
9710.15810.06687833469660.0155072825878770.0969521924247472-0.056536663097738
989.22510.06090173568680.0142913718492549-0.784769045146927-0.495816707393899
9910.47410.08089624656720.0146141492848170.3795300211044630.131619739484629
1009.75710.07566506967480.0134909750510293-0.271433298236826-0.457990899641636
10110.4910.14912246238090.0168848502636010.1981610757662561.38388300693526
10210.28110.1832677724810.0178617248240550.05665371945813930.398329850756124
10310.44410.2040050898560.01802447181927220.2331511853112610.0663624340191872
10410.6410.21446931350520.01759659220936240.443523766207635-0.174475854260324
10510.69510.2694557190650.01971270628672380.3365580036193930.86288398332457
10610.78610.34274615308620.02274499150264040.3157424145780471.23645632871486
1079.83210.38328560444720.023752085491599-0.5936345962858020.410652326623289
1089.74710.32975827437530.0193783936887382-0.398842554600468-1.78341402543645
10910.41110.32411458330520.0179622502621140.146435201383435-0.577450679879084
1109.51110.33156467775390.017367307150112-0.795546731666183-0.242597582013465
11110.40210.30756717287970.01502623480741470.192877224693776-0.954608916838094
1129.70110.27913188432780.0125664980068161-0.474698389216139-1.0029885285487
11310.5410.28934668042010.01243340184590790.256250047187548-0.0542712761584264
11410.11210.2714540564250.0107170821148522-0.0872825836119661-0.699846350958257
11510.91510.32482695965320.01313121201491880.488658213784060.984390369286388
11611.18310.40443912364950.01689373794171860.6203449158680841.53422209829129
11710.38410.39777238376460.01556031948852240.0422984995214293-0.54371978500767
11810.83410.41688408305880.01576131181513590.4086641333363290.0819570304166827
1199.88610.42485355128490.0153203283147803-0.520310182388223-0.179815503414594
12010.21610.4532541273670.016060611217995-0.2683829665130250.301857736977022
12110.94310.50728161695040.01820936362676790.3453633227273440.87617822892227
1229.86710.54365817608540.0192375440363651-0.7198933115841720.419253668435627
12310.20310.49448113536750.0153655900482337-0.128664871678818-1.57883842629988
12410.83710.59159958908550.01999242967344830.05084173938691411.88664673037636
12510.57310.59590857641680.01910481864197360.0144153329780312-0.361932488237132
12610.64710.63654542447250.020323432256246-0.0407878661509120.496902075610435
12711.50210.71492486658960.02360913356424580.6489119137299051.33978090988424
12810.65610.66495389781070.01944484082044390.166154300343344-1.69803978706286
12910.86610.68513223309230.01948635321084730.1791221735200020.0169271710452786
13010.83510.67134088275650.01760298927755530.242854297210531-0.767962618175022
1319.94510.65749289861850.0158230102269328-0.637645230859599-0.725804860606643
13210.33110.6616762551660.0151642601152292-0.302976012043031-0.268612091248928

\begin{tabular}{lllllllll}
\hline
Structural Time Series Model \tabularnewline
t & Observed & Level & Slope & Seasonal & Stand. Residuals \tabularnewline
1 & 9.492 & 9.492 & 0 & 0 & 0 \tabularnewline
2 & 8.641 & 9.46408379192756 & -0.0026192003101249 & -0.443676699052849 & -2.97648108881255 \tabularnewline
3 & 9.793 & 9.47089725672169 & -0.000655718447501039 & 0.304902465533815 & 0.154405439579015 \tabularnewline
4 & 9.603 & 9.50301635146422 & 0.00507410129876796 & 0.0569191396314258 & 0.415665508207088 \tabularnewline
5 & 9.238 & 9.45477139975154 & -0.0028315658090655 & -0.145625820783147 & -0.688735233886825 \tabularnewline
6 & 9.535 & 9.4586602750456 & -0.00196942538770265 & 0.0664950457784993 & 0.0938492833305687 \tabularnewline
7 & 10.295 & 9.62017585364812 & 0.016522843297529 & 0.410391091418259 & 2.47984606245867 \tabularnewline
8 & 9.941 & 9.72490261104413 & 0.0254689782783216 & 0.0601899558896536 & 1.44184312541942 \tabularnewline
9 & 9.984 & 9.8064045514381 & 0.0306412135346119 & 0.0707145348441182 & 0.977312925616934 \tabularnewline
10 & 9.563 & 9.80034360052556 & 0.0275170432747632 & -0.162671561193947 & -0.676596295405226 \tabularnewline
11 & 8.872 & 9.66393985751348 & 0.0144979987069842 & -0.439831676293673 & -3.16700861387028 \tabularnewline
12 & 9.302 & 9.57845678970578 & 0.00701109294814515 & -0.0517003683553388 & -2.00952517981771 \tabularnewline
13 & 9.215 & 9.51748213707454 & 0.00380545086165829 & -0.0876785493291204 & -1.94951011842038 \tabularnewline
14 & 8.834 & 9.46756035770855 & 0.000648299042055601 & -0.500005748199808 & -1.24215860499341 \tabularnewline
15 & 9.998 & 9.48259571066037 & 0.00157162016046532 & 0.484793804601248 & 0.292405600440018 \tabularnewline
16 & 9.604 & 9.49193800225684 & 0.0020773731965453 & 0.0961848061150922 & 0.153404607036506 \tabularnewline
17 & 9.507 & 9.52613611256647 & 0.00414257780187391 & -0.0856643541106288 & 0.643827590374969 \tabularnewline
18 & 9.718 & 9.5787766626141 & 0.00719828767257024 & 0.0356268565063834 & 1.000286990986 \tabularnewline
19 & 10.095 & 9.62563722864967 & 0.00964551088394698 & 0.381852661150467 & 0.842226857762804 \tabularnewline
20 & 9.583 & 9.63637631556128 & 0.00971172858553776 & -0.05585870069962 & 0.0238166543280093 \tabularnewline
21 & 9.883 & 9.65673939956725 & 0.0103464380132359 & 0.201512413383176 & 0.236794129983602 \tabularnewline
22 & 9.365 & 9.6259682963291 & 0.00792996515878412 & -0.163614821309948 & -0.929265207176889 \tabularnewline
23 & 8.919 & 9.57046124723139 & 0.00425305624530338 & -0.498800294615332 & -1.45378595911849 \tabularnewline
24 & 9.449 & 9.53375337910353 & 0.0019245942872542 & 0.015615797493666 & -0.953613177121575 \tabularnewline
25 & 9.769 & 9.55583428180178 & 0.00302443719151874 & 0.161930210144374 & 0.488575668744954 \tabularnewline
26 & 9.321 & 9.59993700076084 & 0.00529984273002787 & -0.381074418829288 & 0.975850815175337 \tabularnewline
27 & 9.939 & 9.6030900778606 & 0.00517865810258812 & 0.341074140490805 & -0.0495837408033472 \tabularnewline
28 & 9.336 & 9.57103676494871 & 0.00305559208704717 & -0.147083775883459 & -0.847616521921338 \tabularnewline
29 & 10.195 & 9.66227618828513 & 0.00810141231512623 & 0.32537815435584 & 2.00169087730255 \tabularnewline
30 & 9.464 & 9.66824228249307 & 0.00797923281350222 & -0.199209068865858 & -0.0486096585839384 \tabularnewline
31 & 10.01 & 9.66996038844731 & 0.00762150906775873 & 0.354873264825323 & -0.143221864701154 \tabularnewline
32 & 10.213 & 9.7466540175615 & 0.011560246653249 & 0.301829109883424 & 1.58759183291766 \tabularnewline
33 & 9.563 & 9.71681006148669 & 0.0092040057802847 & -0.0547460824053272 & -0.955393002750035 \tabularnewline
34 & 9.89 & 9.7455603938255 & 0.0103140039065563 & 0.0975131789069895 & 0.452311319650377 \tabularnewline
35 & 9.305 & 9.76300488846714 & 0.0107179394828737 & -0.475165306365661 & 0.165339279244355 \tabularnewline
36 & 9.391 & 9.7330799647258 & 0.0084226777303023 & -0.244047726061206 & -0.944684087501762 \tabularnewline
37 & 9.928 & 9.74086718455648 & 0.00838690779957389 & 0.188671525730459 & -0.0148452130345561 \tabularnewline
38 & 8.686 & 9.66569785136915 & 0.00367598675707164 & -0.77780969200856 & -1.94806005499486 \tabularnewline
39 & 9.843 & 9.62703587637059 & 0.00128253925633765 & 0.317588447913796 & -0.981370329728857 \tabularnewline
40 & 9.627 & 9.64697601189893 & 0.00233923446050199 & -0.0645219939793213 & 0.430605708752954 \tabularnewline
41 & 10.074 & 9.66565069777724 & 0.0032652154076355 & 0.369438086306597 & 0.376400347890794 \tabularnewline
42 & 9.503 & 9.67904527498717 & 0.00383954372202357 & -0.200171757667913 & 0.233456740243214 \tabularnewline
43 & 10.119 & 9.70316672008398 & 0.00498944126608447 & 0.367477529538371 & 0.467926884575457 \tabularnewline
44 & 10 & 9.70649497050196 & 0.0048952776532253 & 0.297470197122108 & -0.0383658566915952 \tabularnewline
45 & 9.313 & 9.67031545370692 & 0.00256760480286543 & -0.259190714800817 & -0.94928438885586 \tabularnewline
46 & 9.866 & 9.67080660414353 & 0.00244997342915535 & 0.200155460115617 & -0.047999284686167 \tabularnewline
47 & 9.172 & 9.65962642196055 & 0.00167814651690614 & -0.455058017180269 & -0.315056295601323 \tabularnewline
48 & 9.241 & 9.62947630356555 & -0.000123329524121422 & -0.312428398354393 & -0.735875774910517 \tabularnewline
49 & 9.659 & 9.5871370305513 & -0.00251197727023577 & 0.172791467586166 & -0.977007803518858 \tabularnewline
50 & 8.904 & 9.5806375713041 & -0.00273763589689457 & -0.667103862726227 & -0.0922885255460016 \tabularnewline
51 & 9.755 & 9.56278166950662 & -0.00359348041513608 & 0.228320182730347 & -0.349506253563166 \tabularnewline
52 & 9.08 & 9.50686903300886 & -0.00655587860165839 & -0.302113420600435 & -1.20808036081547 \tabularnewline
53 & 9.435 & 9.43449255344966 & -0.0102830079478584 & 0.157330779351611 & -1.51899490979653 \tabularnewline
54 & 8.971 & 9.37590779415166 & -0.0130181090869519 & -0.289836023907819 & -1.11475783671443 \tabularnewline
55 & 10.063 & 9.38558270854871 & -0.01173314076856 & 0.623338848712507 & 0.523908240477425 \tabularnewline
56 & 9.793 & 9.38495177383666 & -0.0111045041778237 & 0.381582540217136 & 0.256391432846624 \tabularnewline
57 & 9.454 & 9.41420131399478 & -0.0088196089545702 & -0.0564109294778351 & 0.932009793721034 \tabularnewline
58 & 9.759 & 9.42800645342913 & -0.00753862620940292 & 0.277060053209394 & 0.52246506414581 \tabularnewline
59 & 8.82 & 9.39996049160615 & -0.00869963629964558 & -0.53108825234086 & -0.473469289352712 \tabularnewline
60 & 9.403 & 9.41741758274443 & -0.00721892330749279 & -0.076743389035594 & 0.603897511365334 \tabularnewline
61 & 9.676 & 9.42340982048769 & -0.00647109106127144 & 0.221105351021445 & 0.305107762837173 \tabularnewline
62 & 8.642 & 9.39928915830108 & -0.00747018080456994 & -0.715219767757776 & -0.407677930053947 \tabularnewline
63 & 9.402 & 9.34833005116248 & -0.00993204324750965 & 0.157305711544377 & -1.00429187018632 \tabularnewline
64 & 9.61 & 9.38637978378686 & -0.00721583245278937 & 0.109327271967802 & 1.10764099249316 \tabularnewline
65 & 9.294 & 9.35683735229701 & -0.00847969417789618 & -0.00967113291740937 & -0.515295956942483 \tabularnewline
66 & 9.448 & 9.3966114518318 & -0.00574822663844966 & -0.0635119634614362 & 1.11371382525782 \tabularnewline
67 & 10.319 & 9.44532715834542 & -0.00266527702617675 & 0.7439709222895 & 1.25721581641757 \tabularnewline
68 & 9.548 & 9.43057810528695 & -0.00334928193730013 & 0.146201923840417 & -0.278966510377622 \tabularnewline
69 & 9.801 & 9.4809062818552 & -0.000310847215233506 & 0.192247728135081 & 1.23920123720728 \tabularnewline
70 & 9.596 & 9.47366781525123 & -0.00070298637138383 & 0.138830159298026 & -0.159914379119791 \tabularnewline
71 & 8.923 & 9.47399603115834 & -0.000644616043936187 & -0.553451412977278 & 0.0238009160200199 \tabularnewline
72 & 9.746 & 9.51760067254769 & 0.00186000958237878 & 0.123046867677582 & 1.02128775600481 \tabularnewline
73 & 9.829 & 9.53883401420782 & 0.00295657246081874 & 0.244037253986348 & 0.44719357595253 \tabularnewline
74 & 9.125 & 9.58199838511903 & 0.00523240129685249 & -0.5527433539706 & 0.92819630625367 \tabularnewline
75 & 9.782 & 9.61150347955954 & 0.0066062822598273 & 0.112699742581192 & 0.560305043304236 \tabularnewline
76 & 9.441 & 9.59248734725229 & 0.00515601297234498 & -0.0904856992164165 & -0.591385934369573 \tabularnewline
77 & 9.162 & 9.55127156830505 & 0.00253133697734597 & -0.278883521977391 & -1.07020702271079 \tabularnewline
78 & 9.915 & 9.60358887083775 & 0.00534921252449871 & 0.192899112239954 & 1.14900604570718 \tabularnewline
79 & 10.444 & 9.63464098712906 & 0.00680397912074814 & 0.74817242051515 & 0.593229258009171 \tabularnewline
80 & 10.209 & 9.70907194491298 & 0.0106316183101011 & 0.338931898465647 & 1.56092214638798 \tabularnewline
81 & 9.985 & 9.74806495153879 & 0.0122368578126805 & 0.169416451708459 & 0.654616174245825 \tabularnewline
82 & 9.842 & 9.76647550220201 & 0.0125862855017009 & 0.0608279371865897 & 0.142488750788285 \tabularnewline
83 & 9.429 & 9.81603402581337 & 0.0146788803063945 & -0.475040071057317 & 0.853268532733461 \tabularnewline
84 & 10.132 & 9.86866479949628 & 0.0168269005028661 & 0.173000688967488 & 0.875868715498548 \tabularnewline
85 & 9.849 & 9.8687080348782 & 0.0158769770487043 & 0.0202421001019259 & -0.387357142013385 \tabularnewline
86 & 9.172 & 9.86422558509534 & 0.0147246731091726 & -0.643762144246734 & -0.469902436966855 \tabularnewline
87 & 10.313 & 9.91023204188855 & 0.0164951633925484 & 0.328305688798492 & 0.721984808110396 \tabularnewline
88 & 9.819 & 9.93188198318422 & 0.0167869134463254 & -0.125151593518404 & 0.118966649066751 \tabularnewline
89 & 9.955 & 9.99775261964855 & 0.0195649349573871 & -0.159577489161354 & 1.13275598942927 \tabularnewline
90 & 10.048 & 10.0201928039007 & 0.0197276660349045 & 0.0209638846144598 & 0.0663550258470844 \tabularnewline
91 & 10.082 & 9.96803635891457 & 0.0156592427517013 & 0.285056194217287 & -1.65898270047 \tabularnewline
92 & 10.541 & 9.9990317716754 & 0.0165272233722463 & 0.505465557739172 & 0.353944643616034 \tabularnewline
93 & 10.208 & 10.0258701544695 & 0.0171108044708347 & 0.157587536106736 & 0.237971578954102 \tabularnewline
94 & 10.233 & 10.0687930920829 & 0.0185716947372939 & 0.102771267220611 & 0.595704355902275 \tabularnewline
95 & 9.439 & 10.0774821977124 & 0.0180123711086847 & -0.614961394782026 & -0.228068962298549 \tabularnewline
96 & 9.963 & 10.0536821952638 & 0.0156459321390812 & 0.00883060146876596 & -0.964934913243708 \tabularnewline
97 & 10.158 & 10.0668783346966 & 0.015507282587877 & 0.0969521924247472 & -0.056536663097738 \tabularnewline
98 & 9.225 & 10.0609017356868 & 0.0142913718492549 & -0.784769045146927 & -0.495816707393899 \tabularnewline
99 & 10.474 & 10.0808962465672 & 0.014614149284817 & 0.379530021104463 & 0.131619739484629 \tabularnewline
100 & 9.757 & 10.0756650696748 & 0.0134909750510293 & -0.271433298236826 & -0.457990899641636 \tabularnewline
101 & 10.49 & 10.1491224623809 & 0.016884850263601 & 0.198161075766256 & 1.38388300693526 \tabularnewline
102 & 10.281 & 10.183267772481 & 0.017861724824055 & 0.0566537194581393 & 0.398329850756124 \tabularnewline
103 & 10.444 & 10.204005089856 & 0.0180244718192722 & 0.233151185311261 & 0.0663624340191872 \tabularnewline
104 & 10.64 & 10.2144693135052 & 0.0175965922093624 & 0.443523766207635 & -0.174475854260324 \tabularnewline
105 & 10.695 & 10.269455719065 & 0.0197127062867238 & 0.336558003619393 & 0.86288398332457 \tabularnewline
106 & 10.786 & 10.3427461530862 & 0.0227449915026404 & 0.315742414578047 & 1.23645632871486 \tabularnewline
107 & 9.832 & 10.3832856044472 & 0.023752085491599 & -0.593634596285802 & 0.410652326623289 \tabularnewline
108 & 9.747 & 10.3297582743753 & 0.0193783936887382 & -0.398842554600468 & -1.78341402543645 \tabularnewline
109 & 10.411 & 10.3241145833052 & 0.017962250262114 & 0.146435201383435 & -0.577450679879084 \tabularnewline
110 & 9.511 & 10.3315646777539 & 0.017367307150112 & -0.795546731666183 & -0.242597582013465 \tabularnewline
111 & 10.402 & 10.3075671728797 & 0.0150262348074147 & 0.192877224693776 & -0.954608916838094 \tabularnewline
112 & 9.701 & 10.2791318843278 & 0.0125664980068161 & -0.474698389216139 & -1.0029885285487 \tabularnewline
113 & 10.54 & 10.2893466804201 & 0.0124334018459079 & 0.256250047187548 & -0.0542712761584264 \tabularnewline
114 & 10.112 & 10.271454056425 & 0.0107170821148522 & -0.0872825836119661 & -0.699846350958257 \tabularnewline
115 & 10.915 & 10.3248269596532 & 0.0131312120149188 & 0.48865821378406 & 0.984390369286388 \tabularnewline
116 & 11.183 & 10.4044391236495 & 0.0168937379417186 & 0.620344915868084 & 1.53422209829129 \tabularnewline
117 & 10.384 & 10.3977723837646 & 0.0155603194885224 & 0.0422984995214293 & -0.54371978500767 \tabularnewline
118 & 10.834 & 10.4168840830588 & 0.0157613118151359 & 0.408664133336329 & 0.0819570304166827 \tabularnewline
119 & 9.886 & 10.4248535512849 & 0.0153203283147803 & -0.520310182388223 & -0.179815503414594 \tabularnewline
120 & 10.216 & 10.453254127367 & 0.016060611217995 & -0.268382966513025 & 0.301857736977022 \tabularnewline
121 & 10.943 & 10.5072816169504 & 0.0182093636267679 & 0.345363322727344 & 0.87617822892227 \tabularnewline
122 & 9.867 & 10.5436581760854 & 0.0192375440363651 & -0.719893311584172 & 0.419253668435627 \tabularnewline
123 & 10.203 & 10.4944811353675 & 0.0153655900482337 & -0.128664871678818 & -1.57883842629988 \tabularnewline
124 & 10.837 & 10.5915995890855 & 0.0199924296734483 & 0.0508417393869141 & 1.88664673037636 \tabularnewline
125 & 10.573 & 10.5959085764168 & 0.0191048186419736 & 0.0144153329780312 & -0.361932488237132 \tabularnewline
126 & 10.647 & 10.6365454244725 & 0.020323432256246 & -0.040787866150912 & 0.496902075610435 \tabularnewline
127 & 11.502 & 10.7149248665896 & 0.0236091335642458 & 0.648911913729905 & 1.33978090988424 \tabularnewline
128 & 10.656 & 10.6649538978107 & 0.0194448408204439 & 0.166154300343344 & -1.69803978706286 \tabularnewline
129 & 10.866 & 10.6851322330923 & 0.0194863532108473 & 0.179122173520002 & 0.0169271710452786 \tabularnewline
130 & 10.835 & 10.6713408827565 & 0.0176029892775553 & 0.242854297210531 & -0.767962618175022 \tabularnewline
131 & 9.945 & 10.6574928986185 & 0.0158230102269328 & -0.637645230859599 & -0.725804860606643 \tabularnewline
132 & 10.331 & 10.661676255166 & 0.0151642601152292 & -0.302976012043031 & -0.268612091248928 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=155982&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]9.492[/C][C]9.492[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]8.641[/C][C]9.46408379192756[/C][C]-0.0026192003101249[/C][C]-0.443676699052849[/C][C]-2.97648108881255[/C][/ROW]
[ROW][C]3[/C][C]9.793[/C][C]9.47089725672169[/C][C]-0.000655718447501039[/C][C]0.304902465533815[/C][C]0.154405439579015[/C][/ROW]
[ROW][C]4[/C][C]9.603[/C][C]9.50301635146422[/C][C]0.00507410129876796[/C][C]0.0569191396314258[/C][C]0.415665508207088[/C][/ROW]
[ROW][C]5[/C][C]9.238[/C][C]9.45477139975154[/C][C]-0.0028315658090655[/C][C]-0.145625820783147[/C][C]-0.688735233886825[/C][/ROW]
[ROW][C]6[/C][C]9.535[/C][C]9.4586602750456[/C][C]-0.00196942538770265[/C][C]0.0664950457784993[/C][C]0.0938492833305687[/C][/ROW]
[ROW][C]7[/C][C]10.295[/C][C]9.62017585364812[/C][C]0.016522843297529[/C][C]0.410391091418259[/C][C]2.47984606245867[/C][/ROW]
[ROW][C]8[/C][C]9.941[/C][C]9.72490261104413[/C][C]0.0254689782783216[/C][C]0.0601899558896536[/C][C]1.44184312541942[/C][/ROW]
[ROW][C]9[/C][C]9.984[/C][C]9.8064045514381[/C][C]0.0306412135346119[/C][C]0.0707145348441182[/C][C]0.977312925616934[/C][/ROW]
[ROW][C]10[/C][C]9.563[/C][C]9.80034360052556[/C][C]0.0275170432747632[/C][C]-0.162671561193947[/C][C]-0.676596295405226[/C][/ROW]
[ROW][C]11[/C][C]8.872[/C][C]9.66393985751348[/C][C]0.0144979987069842[/C][C]-0.439831676293673[/C][C]-3.16700861387028[/C][/ROW]
[ROW][C]12[/C][C]9.302[/C][C]9.57845678970578[/C][C]0.00701109294814515[/C][C]-0.0517003683553388[/C][C]-2.00952517981771[/C][/ROW]
[ROW][C]13[/C][C]9.215[/C][C]9.51748213707454[/C][C]0.00380545086165829[/C][C]-0.0876785493291204[/C][C]-1.94951011842038[/C][/ROW]
[ROW][C]14[/C][C]8.834[/C][C]9.46756035770855[/C][C]0.000648299042055601[/C][C]-0.500005748199808[/C][C]-1.24215860499341[/C][/ROW]
[ROW][C]15[/C][C]9.998[/C][C]9.48259571066037[/C][C]0.00157162016046532[/C][C]0.484793804601248[/C][C]0.292405600440018[/C][/ROW]
[ROW][C]16[/C][C]9.604[/C][C]9.49193800225684[/C][C]0.0020773731965453[/C][C]0.0961848061150922[/C][C]0.153404607036506[/C][/ROW]
[ROW][C]17[/C][C]9.507[/C][C]9.52613611256647[/C][C]0.00414257780187391[/C][C]-0.0856643541106288[/C][C]0.643827590374969[/C][/ROW]
[ROW][C]18[/C][C]9.718[/C][C]9.5787766626141[/C][C]0.00719828767257024[/C][C]0.0356268565063834[/C][C]1.000286990986[/C][/ROW]
[ROW][C]19[/C][C]10.095[/C][C]9.62563722864967[/C][C]0.00964551088394698[/C][C]0.381852661150467[/C][C]0.842226857762804[/C][/ROW]
[ROW][C]20[/C][C]9.583[/C][C]9.63637631556128[/C][C]0.00971172858553776[/C][C]-0.05585870069962[/C][C]0.0238166543280093[/C][/ROW]
[ROW][C]21[/C][C]9.883[/C][C]9.65673939956725[/C][C]0.0103464380132359[/C][C]0.201512413383176[/C][C]0.236794129983602[/C][/ROW]
[ROW][C]22[/C][C]9.365[/C][C]9.6259682963291[/C][C]0.00792996515878412[/C][C]-0.163614821309948[/C][C]-0.929265207176889[/C][/ROW]
[ROW][C]23[/C][C]8.919[/C][C]9.57046124723139[/C][C]0.00425305624530338[/C][C]-0.498800294615332[/C][C]-1.45378595911849[/C][/ROW]
[ROW][C]24[/C][C]9.449[/C][C]9.53375337910353[/C][C]0.0019245942872542[/C][C]0.015615797493666[/C][C]-0.953613177121575[/C][/ROW]
[ROW][C]25[/C][C]9.769[/C][C]9.55583428180178[/C][C]0.00302443719151874[/C][C]0.161930210144374[/C][C]0.488575668744954[/C][/ROW]
[ROW][C]26[/C][C]9.321[/C][C]9.59993700076084[/C][C]0.00529984273002787[/C][C]-0.381074418829288[/C][C]0.975850815175337[/C][/ROW]
[ROW][C]27[/C][C]9.939[/C][C]9.6030900778606[/C][C]0.00517865810258812[/C][C]0.341074140490805[/C][C]-0.0495837408033472[/C][/ROW]
[ROW][C]28[/C][C]9.336[/C][C]9.57103676494871[/C][C]0.00305559208704717[/C][C]-0.147083775883459[/C][C]-0.847616521921338[/C][/ROW]
[ROW][C]29[/C][C]10.195[/C][C]9.66227618828513[/C][C]0.00810141231512623[/C][C]0.32537815435584[/C][C]2.00169087730255[/C][/ROW]
[ROW][C]30[/C][C]9.464[/C][C]9.66824228249307[/C][C]0.00797923281350222[/C][C]-0.199209068865858[/C][C]-0.0486096585839384[/C][/ROW]
[ROW][C]31[/C][C]10.01[/C][C]9.66996038844731[/C][C]0.00762150906775873[/C][C]0.354873264825323[/C][C]-0.143221864701154[/C][/ROW]
[ROW][C]32[/C][C]10.213[/C][C]9.7466540175615[/C][C]0.011560246653249[/C][C]0.301829109883424[/C][C]1.58759183291766[/C][/ROW]
[ROW][C]33[/C][C]9.563[/C][C]9.71681006148669[/C][C]0.0092040057802847[/C][C]-0.0547460824053272[/C][C]-0.955393002750035[/C][/ROW]
[ROW][C]34[/C][C]9.89[/C][C]9.7455603938255[/C][C]0.0103140039065563[/C][C]0.0975131789069895[/C][C]0.452311319650377[/C][/ROW]
[ROW][C]35[/C][C]9.305[/C][C]9.76300488846714[/C][C]0.0107179394828737[/C][C]-0.475165306365661[/C][C]0.165339279244355[/C][/ROW]
[ROW][C]36[/C][C]9.391[/C][C]9.7330799647258[/C][C]0.0084226777303023[/C][C]-0.244047726061206[/C][C]-0.944684087501762[/C][/ROW]
[ROW][C]37[/C][C]9.928[/C][C]9.74086718455648[/C][C]0.00838690779957389[/C][C]0.188671525730459[/C][C]-0.0148452130345561[/C][/ROW]
[ROW][C]38[/C][C]8.686[/C][C]9.66569785136915[/C][C]0.00367598675707164[/C][C]-0.77780969200856[/C][C]-1.94806005499486[/C][/ROW]
[ROW][C]39[/C][C]9.843[/C][C]9.62703587637059[/C][C]0.00128253925633765[/C][C]0.317588447913796[/C][C]-0.981370329728857[/C][/ROW]
[ROW][C]40[/C][C]9.627[/C][C]9.64697601189893[/C][C]0.00233923446050199[/C][C]-0.0645219939793213[/C][C]0.430605708752954[/C][/ROW]
[ROW][C]41[/C][C]10.074[/C][C]9.66565069777724[/C][C]0.0032652154076355[/C][C]0.369438086306597[/C][C]0.376400347890794[/C][/ROW]
[ROW][C]42[/C][C]9.503[/C][C]9.67904527498717[/C][C]0.00383954372202357[/C][C]-0.200171757667913[/C][C]0.233456740243214[/C][/ROW]
[ROW][C]43[/C][C]10.119[/C][C]9.70316672008398[/C][C]0.00498944126608447[/C][C]0.367477529538371[/C][C]0.467926884575457[/C][/ROW]
[ROW][C]44[/C][C]10[/C][C]9.70649497050196[/C][C]0.0048952776532253[/C][C]0.297470197122108[/C][C]-0.0383658566915952[/C][/ROW]
[ROW][C]45[/C][C]9.313[/C][C]9.67031545370692[/C][C]0.00256760480286543[/C][C]-0.259190714800817[/C][C]-0.94928438885586[/C][/ROW]
[ROW][C]46[/C][C]9.866[/C][C]9.67080660414353[/C][C]0.00244997342915535[/C][C]0.200155460115617[/C][C]-0.047999284686167[/C][/ROW]
[ROW][C]47[/C][C]9.172[/C][C]9.65962642196055[/C][C]0.00167814651690614[/C][C]-0.455058017180269[/C][C]-0.315056295601323[/C][/ROW]
[ROW][C]48[/C][C]9.241[/C][C]9.62947630356555[/C][C]-0.000123329524121422[/C][C]-0.312428398354393[/C][C]-0.735875774910517[/C][/ROW]
[ROW][C]49[/C][C]9.659[/C][C]9.5871370305513[/C][C]-0.00251197727023577[/C][C]0.172791467586166[/C][C]-0.977007803518858[/C][/ROW]
[ROW][C]50[/C][C]8.904[/C][C]9.5806375713041[/C][C]-0.00273763589689457[/C][C]-0.667103862726227[/C][C]-0.0922885255460016[/C][/ROW]
[ROW][C]51[/C][C]9.755[/C][C]9.56278166950662[/C][C]-0.00359348041513608[/C][C]0.228320182730347[/C][C]-0.349506253563166[/C][/ROW]
[ROW][C]52[/C][C]9.08[/C][C]9.50686903300886[/C][C]-0.00655587860165839[/C][C]-0.302113420600435[/C][C]-1.20808036081547[/C][/ROW]
[ROW][C]53[/C][C]9.435[/C][C]9.43449255344966[/C][C]-0.0102830079478584[/C][C]0.157330779351611[/C][C]-1.51899490979653[/C][/ROW]
[ROW][C]54[/C][C]8.971[/C][C]9.37590779415166[/C][C]-0.0130181090869519[/C][C]-0.289836023907819[/C][C]-1.11475783671443[/C][/ROW]
[ROW][C]55[/C][C]10.063[/C][C]9.38558270854871[/C][C]-0.01173314076856[/C][C]0.623338848712507[/C][C]0.523908240477425[/C][/ROW]
[ROW][C]56[/C][C]9.793[/C][C]9.38495177383666[/C][C]-0.0111045041778237[/C][C]0.381582540217136[/C][C]0.256391432846624[/C][/ROW]
[ROW][C]57[/C][C]9.454[/C][C]9.41420131399478[/C][C]-0.0088196089545702[/C][C]-0.0564109294778351[/C][C]0.932009793721034[/C][/ROW]
[ROW][C]58[/C][C]9.759[/C][C]9.42800645342913[/C][C]-0.00753862620940292[/C][C]0.277060053209394[/C][C]0.52246506414581[/C][/ROW]
[ROW][C]59[/C][C]8.82[/C][C]9.39996049160615[/C][C]-0.00869963629964558[/C][C]-0.53108825234086[/C][C]-0.473469289352712[/C][/ROW]
[ROW][C]60[/C][C]9.403[/C][C]9.41741758274443[/C][C]-0.00721892330749279[/C][C]-0.076743389035594[/C][C]0.603897511365334[/C][/ROW]
[ROW][C]61[/C][C]9.676[/C][C]9.42340982048769[/C][C]-0.00647109106127144[/C][C]0.221105351021445[/C][C]0.305107762837173[/C][/ROW]
[ROW][C]62[/C][C]8.642[/C][C]9.39928915830108[/C][C]-0.00747018080456994[/C][C]-0.715219767757776[/C][C]-0.407677930053947[/C][/ROW]
[ROW][C]63[/C][C]9.402[/C][C]9.34833005116248[/C][C]-0.00993204324750965[/C][C]0.157305711544377[/C][C]-1.00429187018632[/C][/ROW]
[ROW][C]64[/C][C]9.61[/C][C]9.38637978378686[/C][C]-0.00721583245278937[/C][C]0.109327271967802[/C][C]1.10764099249316[/C][/ROW]
[ROW][C]65[/C][C]9.294[/C][C]9.35683735229701[/C][C]-0.00847969417789618[/C][C]-0.00967113291740937[/C][C]-0.515295956942483[/C][/ROW]
[ROW][C]66[/C][C]9.448[/C][C]9.3966114518318[/C][C]-0.00574822663844966[/C][C]-0.0635119634614362[/C][C]1.11371382525782[/C][/ROW]
[ROW][C]67[/C][C]10.319[/C][C]9.44532715834542[/C][C]-0.00266527702617675[/C][C]0.7439709222895[/C][C]1.25721581641757[/C][/ROW]
[ROW][C]68[/C][C]9.548[/C][C]9.43057810528695[/C][C]-0.00334928193730013[/C][C]0.146201923840417[/C][C]-0.278966510377622[/C][/ROW]
[ROW][C]69[/C][C]9.801[/C][C]9.4809062818552[/C][C]-0.000310847215233506[/C][C]0.192247728135081[/C][C]1.23920123720728[/C][/ROW]
[ROW][C]70[/C][C]9.596[/C][C]9.47366781525123[/C][C]-0.00070298637138383[/C][C]0.138830159298026[/C][C]-0.159914379119791[/C][/ROW]
[ROW][C]71[/C][C]8.923[/C][C]9.47399603115834[/C][C]-0.000644616043936187[/C][C]-0.553451412977278[/C][C]0.0238009160200199[/C][/ROW]
[ROW][C]72[/C][C]9.746[/C][C]9.51760067254769[/C][C]0.00186000958237878[/C][C]0.123046867677582[/C][C]1.02128775600481[/C][/ROW]
[ROW][C]73[/C][C]9.829[/C][C]9.53883401420782[/C][C]0.00295657246081874[/C][C]0.244037253986348[/C][C]0.44719357595253[/C][/ROW]
[ROW][C]74[/C][C]9.125[/C][C]9.58199838511903[/C][C]0.00523240129685249[/C][C]-0.5527433539706[/C][C]0.92819630625367[/C][/ROW]
[ROW][C]75[/C][C]9.782[/C][C]9.61150347955954[/C][C]0.0066062822598273[/C][C]0.112699742581192[/C][C]0.560305043304236[/C][/ROW]
[ROW][C]76[/C][C]9.441[/C][C]9.59248734725229[/C][C]0.00515601297234498[/C][C]-0.0904856992164165[/C][C]-0.591385934369573[/C][/ROW]
[ROW][C]77[/C][C]9.162[/C][C]9.55127156830505[/C][C]0.00253133697734597[/C][C]-0.278883521977391[/C][C]-1.07020702271079[/C][/ROW]
[ROW][C]78[/C][C]9.915[/C][C]9.60358887083775[/C][C]0.00534921252449871[/C][C]0.192899112239954[/C][C]1.14900604570718[/C][/ROW]
[ROW][C]79[/C][C]10.444[/C][C]9.63464098712906[/C][C]0.00680397912074814[/C][C]0.74817242051515[/C][C]0.593229258009171[/C][/ROW]
[ROW][C]80[/C][C]10.209[/C][C]9.70907194491298[/C][C]0.0106316183101011[/C][C]0.338931898465647[/C][C]1.56092214638798[/C][/ROW]
[ROW][C]81[/C][C]9.985[/C][C]9.74806495153879[/C][C]0.0122368578126805[/C][C]0.169416451708459[/C][C]0.654616174245825[/C][/ROW]
[ROW][C]82[/C][C]9.842[/C][C]9.76647550220201[/C][C]0.0125862855017009[/C][C]0.0608279371865897[/C][C]0.142488750788285[/C][/ROW]
[ROW][C]83[/C][C]9.429[/C][C]9.81603402581337[/C][C]0.0146788803063945[/C][C]-0.475040071057317[/C][C]0.853268532733461[/C][/ROW]
[ROW][C]84[/C][C]10.132[/C][C]9.86866479949628[/C][C]0.0168269005028661[/C][C]0.173000688967488[/C][C]0.875868715498548[/C][/ROW]
[ROW][C]85[/C][C]9.849[/C][C]9.8687080348782[/C][C]0.0158769770487043[/C][C]0.0202421001019259[/C][C]-0.387357142013385[/C][/ROW]
[ROW][C]86[/C][C]9.172[/C][C]9.86422558509534[/C][C]0.0147246731091726[/C][C]-0.643762144246734[/C][C]-0.469902436966855[/C][/ROW]
[ROW][C]87[/C][C]10.313[/C][C]9.91023204188855[/C][C]0.0164951633925484[/C][C]0.328305688798492[/C][C]0.721984808110396[/C][/ROW]
[ROW][C]88[/C][C]9.819[/C][C]9.93188198318422[/C][C]0.0167869134463254[/C][C]-0.125151593518404[/C][C]0.118966649066751[/C][/ROW]
[ROW][C]89[/C][C]9.955[/C][C]9.99775261964855[/C][C]0.0195649349573871[/C][C]-0.159577489161354[/C][C]1.13275598942927[/C][/ROW]
[ROW][C]90[/C][C]10.048[/C][C]10.0201928039007[/C][C]0.0197276660349045[/C][C]0.0209638846144598[/C][C]0.0663550258470844[/C][/ROW]
[ROW][C]91[/C][C]10.082[/C][C]9.96803635891457[/C][C]0.0156592427517013[/C][C]0.285056194217287[/C][C]-1.65898270047[/C][/ROW]
[ROW][C]92[/C][C]10.541[/C][C]9.9990317716754[/C][C]0.0165272233722463[/C][C]0.505465557739172[/C][C]0.353944643616034[/C][/ROW]
[ROW][C]93[/C][C]10.208[/C][C]10.0258701544695[/C][C]0.0171108044708347[/C][C]0.157587536106736[/C][C]0.237971578954102[/C][/ROW]
[ROW][C]94[/C][C]10.233[/C][C]10.0687930920829[/C][C]0.0185716947372939[/C][C]0.102771267220611[/C][C]0.595704355902275[/C][/ROW]
[ROW][C]95[/C][C]9.439[/C][C]10.0774821977124[/C][C]0.0180123711086847[/C][C]-0.614961394782026[/C][C]-0.228068962298549[/C][/ROW]
[ROW][C]96[/C][C]9.963[/C][C]10.0536821952638[/C][C]0.0156459321390812[/C][C]0.00883060146876596[/C][C]-0.964934913243708[/C][/ROW]
[ROW][C]97[/C][C]10.158[/C][C]10.0668783346966[/C][C]0.015507282587877[/C][C]0.0969521924247472[/C][C]-0.056536663097738[/C][/ROW]
[ROW][C]98[/C][C]9.225[/C][C]10.0609017356868[/C][C]0.0142913718492549[/C][C]-0.784769045146927[/C][C]-0.495816707393899[/C][/ROW]
[ROW][C]99[/C][C]10.474[/C][C]10.0808962465672[/C][C]0.014614149284817[/C][C]0.379530021104463[/C][C]0.131619739484629[/C][/ROW]
[ROW][C]100[/C][C]9.757[/C][C]10.0756650696748[/C][C]0.0134909750510293[/C][C]-0.271433298236826[/C][C]-0.457990899641636[/C][/ROW]
[ROW][C]101[/C][C]10.49[/C][C]10.1491224623809[/C][C]0.016884850263601[/C][C]0.198161075766256[/C][C]1.38388300693526[/C][/ROW]
[ROW][C]102[/C][C]10.281[/C][C]10.183267772481[/C][C]0.017861724824055[/C][C]0.0566537194581393[/C][C]0.398329850756124[/C][/ROW]
[ROW][C]103[/C][C]10.444[/C][C]10.204005089856[/C][C]0.0180244718192722[/C][C]0.233151185311261[/C][C]0.0663624340191872[/C][/ROW]
[ROW][C]104[/C][C]10.64[/C][C]10.2144693135052[/C][C]0.0175965922093624[/C][C]0.443523766207635[/C][C]-0.174475854260324[/C][/ROW]
[ROW][C]105[/C][C]10.695[/C][C]10.269455719065[/C][C]0.0197127062867238[/C][C]0.336558003619393[/C][C]0.86288398332457[/C][/ROW]
[ROW][C]106[/C][C]10.786[/C][C]10.3427461530862[/C][C]0.0227449915026404[/C][C]0.315742414578047[/C][C]1.23645632871486[/C][/ROW]
[ROW][C]107[/C][C]9.832[/C][C]10.3832856044472[/C][C]0.023752085491599[/C][C]-0.593634596285802[/C][C]0.410652326623289[/C][/ROW]
[ROW][C]108[/C][C]9.747[/C][C]10.3297582743753[/C][C]0.0193783936887382[/C][C]-0.398842554600468[/C][C]-1.78341402543645[/C][/ROW]
[ROW][C]109[/C][C]10.411[/C][C]10.3241145833052[/C][C]0.017962250262114[/C][C]0.146435201383435[/C][C]-0.577450679879084[/C][/ROW]
[ROW][C]110[/C][C]9.511[/C][C]10.3315646777539[/C][C]0.017367307150112[/C][C]-0.795546731666183[/C][C]-0.242597582013465[/C][/ROW]
[ROW][C]111[/C][C]10.402[/C][C]10.3075671728797[/C][C]0.0150262348074147[/C][C]0.192877224693776[/C][C]-0.954608916838094[/C][/ROW]
[ROW][C]112[/C][C]9.701[/C][C]10.2791318843278[/C][C]0.0125664980068161[/C][C]-0.474698389216139[/C][C]-1.0029885285487[/C][/ROW]
[ROW][C]113[/C][C]10.54[/C][C]10.2893466804201[/C][C]0.0124334018459079[/C][C]0.256250047187548[/C][C]-0.0542712761584264[/C][/ROW]
[ROW][C]114[/C][C]10.112[/C][C]10.271454056425[/C][C]0.0107170821148522[/C][C]-0.0872825836119661[/C][C]-0.699846350958257[/C][/ROW]
[ROW][C]115[/C][C]10.915[/C][C]10.3248269596532[/C][C]0.0131312120149188[/C][C]0.48865821378406[/C][C]0.984390369286388[/C][/ROW]
[ROW][C]116[/C][C]11.183[/C][C]10.4044391236495[/C][C]0.0168937379417186[/C][C]0.620344915868084[/C][C]1.53422209829129[/C][/ROW]
[ROW][C]117[/C][C]10.384[/C][C]10.3977723837646[/C][C]0.0155603194885224[/C][C]0.0422984995214293[/C][C]-0.54371978500767[/C][/ROW]
[ROW][C]118[/C][C]10.834[/C][C]10.4168840830588[/C][C]0.0157613118151359[/C][C]0.408664133336329[/C][C]0.0819570304166827[/C][/ROW]
[ROW][C]119[/C][C]9.886[/C][C]10.4248535512849[/C][C]0.0153203283147803[/C][C]-0.520310182388223[/C][C]-0.179815503414594[/C][/ROW]
[ROW][C]120[/C][C]10.216[/C][C]10.453254127367[/C][C]0.016060611217995[/C][C]-0.268382966513025[/C][C]0.301857736977022[/C][/ROW]
[ROW][C]121[/C][C]10.943[/C][C]10.5072816169504[/C][C]0.0182093636267679[/C][C]0.345363322727344[/C][C]0.87617822892227[/C][/ROW]
[ROW][C]122[/C][C]9.867[/C][C]10.5436581760854[/C][C]0.0192375440363651[/C][C]-0.719893311584172[/C][C]0.419253668435627[/C][/ROW]
[ROW][C]123[/C][C]10.203[/C][C]10.4944811353675[/C][C]0.0153655900482337[/C][C]-0.128664871678818[/C][C]-1.57883842629988[/C][/ROW]
[ROW][C]124[/C][C]10.837[/C][C]10.5915995890855[/C][C]0.0199924296734483[/C][C]0.0508417393869141[/C][C]1.88664673037636[/C][/ROW]
[ROW][C]125[/C][C]10.573[/C][C]10.5959085764168[/C][C]0.0191048186419736[/C][C]0.0144153329780312[/C][C]-0.361932488237132[/C][/ROW]
[ROW][C]126[/C][C]10.647[/C][C]10.6365454244725[/C][C]0.020323432256246[/C][C]-0.040787866150912[/C][C]0.496902075610435[/C][/ROW]
[ROW][C]127[/C][C]11.502[/C][C]10.7149248665896[/C][C]0.0236091335642458[/C][C]0.648911913729905[/C][C]1.33978090988424[/C][/ROW]
[ROW][C]128[/C][C]10.656[/C][C]10.6649538978107[/C][C]0.0194448408204439[/C][C]0.166154300343344[/C][C]-1.69803978706286[/C][/ROW]
[ROW][C]129[/C][C]10.866[/C][C]10.6851322330923[/C][C]0.0194863532108473[/C][C]0.179122173520002[/C][C]0.0169271710452786[/C][/ROW]
[ROW][C]130[/C][C]10.835[/C][C]10.6713408827565[/C][C]0.0176029892775553[/C][C]0.242854297210531[/C][C]-0.767962618175022[/C][/ROW]
[ROW][C]131[/C][C]9.945[/C][C]10.6574928986185[/C][C]0.0158230102269328[/C][C]-0.637645230859599[/C][C]-0.725804860606643[/C][/ROW]
[ROW][C]132[/C][C]10.331[/C][C]10.661676255166[/C][C]0.0151642601152292[/C][C]-0.302976012043031[/C][C]-0.268612091248928[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=155982&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=155982&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
19.4929.492000
28.6419.46408379192756-0.0026192003101249-0.443676699052849-2.97648108881255
39.7939.47089725672169-0.0006557184475010390.3049024655338150.154405439579015
49.6039.503016351464220.005074101298767960.05691913963142580.415665508207088
59.2389.45477139975154-0.0028315658090655-0.145625820783147-0.688735233886825
69.5359.4586602750456-0.001969425387702650.06649504577849930.0938492833305687
710.2959.620175853648120.0165228432975290.4103910914182592.47984606245867
89.9419.724902611044130.02546897827832160.06018995588965361.44184312541942
99.9849.80640455143810.03064121353461190.07071453484411820.977312925616934
109.5639.800343600525560.0275170432747632-0.162671561193947-0.676596295405226
118.8729.663939857513480.0144979987069842-0.439831676293673-3.16700861387028
129.3029.578456789705780.00701109294814515-0.0517003683553388-2.00952517981771
139.2159.517482137074540.00380545086165829-0.0876785493291204-1.94951011842038
148.8349.467560357708550.000648299042055601-0.500005748199808-1.24215860499341
159.9989.482595710660370.001571620160465320.4847938046012480.292405600440018
169.6049.491938002256840.00207737319654530.09618480611509220.153404607036506
179.5079.526136112566470.00414257780187391-0.08566435411062880.643827590374969
189.7189.57877666261410.007198287672570240.03562685650638341.000286990986
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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')