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Author's title

Author*Unverified author*
R Software Modulerwasp_structuraltimeseries.wasp
Title produced by softwareStructural Time Series Models
Date of computationSat, 08 Mar 2008 04:12:03 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2008/Mar/08/t1204974982r8t9nnwpw22o8hn.htm/, Retrieved Thu, 02 May 2024 18:08:39 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=10035, Retrieved Thu, 02 May 2024 18:08:39 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact411
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F     [Univariate Data Series] [HPC Retail Sales] [2008-03-02 15:42:48] [74be16979710d4c4e7c6647856088456]
- RMPD  [Structural Time Series Models] [HPC Retail Sales] [2008-03-06 16:52:55] [74be16979710d4c4e7c6647856088456]
- R  D      [Structural Time Series Models] [HPC Retail Sales] [2008-03-08 11:12:03] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
13328
12873
14000
13477
14237
13674
13529
14058
12975
14326
14008
16193
14483
14011
15057
14884
15414
14440
14900
15074
14442
15307
14938
17193
15528
14765
15838
15723
16150
15486
15986
15983
15692
16490
15686
18897
16316
15636
17163
16534
16518
16375
16290
16352
15943
16362
16393
19051
16747
16320
17910
16961
17480
17049
16879
17473
16998
17307
17418
20169
17871
17226
19062
17804
19100
18522
18060
18869
18127
18871
18890
21263
19547
18450
20254
19240
20216
19420
19415
20018
18652
19978
19509
21971




Summary of compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\begin{tabular}{lllllllll}
\hline
Summary of compuational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 3 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=10035&T=0

[TABLE]
[ROW][C]Summary of compuational 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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=10035&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=10035&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 compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135







Structural Time Series Model
tObservedFittedLevelSlopeSeasonalStand. Residuals
1133281332813328000
2128731287313200.68194781453.82578918514634-327.68194781448-1.30937963159356
3140001400013460.239175026122.0031954161445539.7608249738651.31765525270691
4134771347713535.980420899126.285105942988-58.98042089910190.311977226123143
5142371423713789.367306105442.1871681780315447.6326938945811.58162610681454
6136741367413834.089406732442.3300535845046-160.0894067323570.0192376923718027
7135291352913756.221415002136.7762045798851-227.221415002069-0.937057013630214
8140581405813824.126311763838.052962469584233.8736882362300.243826417267901
9129751297513582.498775267426.9841057964398-607.498775267415-2.18590323595731
10143261432613729.720459629231.8225898323746596.2795403707720.935766933751675
11140081400813869.974239000436.3499767303937138.0257609995870.840035252978843
12161931619314657.836502122868.96004509823561535.163497877235.79802749363536
13144831448314941.154811152173.6530809516055-458.1548111520811.70324729921804
14140111401114973.533754067972.56610002109-962.533754067875-0.330836466619584
15150571505714910.422651392366.9424354256193146.577348607663-1.01555961592100
16148841488414966.957094087366.3965410181129-82.9570940873432-0.0738137548231807
17154141541414983.556371205163.5594131342866430.443628794902-0.353622835038707
18144401444014842.047094907351.8576431761596-402.04709490728-1.49507756240521
19149001490014877.713299010550.96589226503822.2867009895442-0.120639961851066
20150741507414855.421556101747.1049651949951218.578443898257-0.551266726939755
21144421444214996.315769437551.8605348170913-554.3157694374570.706960235998102
22153071530715087.067621877253.7716010293883219.9323781228000.292538866816767
23149381493815228.059675091957.9402455145203-290.0596750918540.654261787956202
24171931719315465.375070008966.29938861369761727.624929991061.34474028856297
25155281552815699.544232176374.0185876088331-171.5442321763311.26208555258566
26147651476515769.063338417073.806527430363-1004.06333841696-0.0337794511447212
27158381583815770.367127643670.205950248940967.6328723564073-0.537689018234094
28157231572315767.917838339166.4079039138715-44.9178383390633-0.531044660759293
29161501615015725.662845630060.5361068853177424.337154370023-0.790177339025636
30154861548615780.286200526860.2124988847452-294.286200526844-0.0432200309184316
31159861598615877.398174020462.22620836171108.6018259795550.271983421683458
32159831598315928.746878529861.639751111918954.2531214702492-0.0806101036648515
33156921569216100.431723783267.4797360289696-408.4317237832090.81632027217282
34164901649016282.106735345273.4467240256002207.8932646548390.845799882141688
35156861568616325.337478227571.8873726200522-639.337478227512-0.223472602865751
36188971889716661.113104020385.40975683355732235.886895979681.95194819402148
37163161631616723.023036009384.2053883081234-407.023036009263-0.174005251309701
38156361563616713.717226233479.3759710442796-1077.71722623338-0.692066109425585
39171631716316831.896475851781.4053879883748331.1035241482940.286209760715423
40165341653416796.136125745675.1967487352262-262.136125745639-0.86037097664727
41165181651816595.816779431360.4514073538403-77.8167794313284-2.01850104025196
42163751637516599.730785008857.4101151607113-224.730785008773-0.414637749542108
43162901629016513.587846713049.6847772582255-223.587846712959-1.05576587816445
44163521635216484.454074275145.4561734049545-132.454074275099-0.580951664466268
45159431594316491.109234458843.3849047873067-548.109234458764-0.286122147509981
46163621636216429.598346882137.815399736733-67.598346882089-0.772925383912537
47163931639316668.133255975648.4259559578775-275.1332559755951.47794698241834
48190511905116787.41597010552.16249745091092263.584029895000.521772960478365
49167471674716927.734024717156.8111048941409-180.7340247171030.649499979507535
50163201632017113.092879123763.6042499082173-793.0928791237350.947131566555392
51179101791017270.641819616168.5861444166098639.3581803838520.69150670359207
52169611696117247.892451613563.7246326602895-286.892451613550-0.6713115311164
53174801748017325.119147574564.44543616219154.8808524255410.0991472221876955
54170491704917312.085857678860.3022709007103-263.085857678771-0.569037817998455
55168791687917242.367161210853.3470467335768-363.367161210762-0.955814972472107
56174731747317351.520995702956.3300330641291121.4790042971490.410589954146277
57169981699817478.752768527160.1143242071860-480.7527685271210.521754101189441
58173071730717568.474110901461.691898610739-261.4741109013570.217805644509610
59174181741817693.326983682765.0524784499592-275.3269836826860.464495230746059
60201692016917860.249436108470.46794926488242308.750563891640.749166786818708
61178711787118029.640552299175.7261447209669-158.6405522990910.727666511577185
62172261722618110.524511571076.0004589058506-884.524511571040.037944235448267
63190621906218234.557270025478.5575403847418827.4427299745510.353264630573422
64178041780418242.178761141874.7770526629889-438.178761141842-0.521457348362567
65191001910018466.945732505982.7777917258623633.054267494051.10218502294869
66185221852218650.201525230588.1403602173717-128.2015252305060.73835603786959
67180601806018689.728781975285.5454667378949-629.728781975174-0.357337570795217
68188691886918776.808002847085.627320804457692.19199715304160.0112775352566685
69181271812718804.713585938182.5480841697832-677.713585938127-0.42445991711634
70188711887118981.106581688887.5518061361308-110.1065816888410.690013654175918
71188901889019161.423566353392.4956725488576-271.4235663532570.681978362131513
72212632126319208.507758233190.076216896682054.49224176685-0.333844069038362
73195471954719420.193348132696.5548995781493126.8066518674270.894098448192825
74184501845019505.387402129295.9495720151657-1055.38740212923-0.0835331354626137
75202542025419548.926510694993.156264971797705.073489305116-0.385335983346102
76192401924019680.040091267495.179909819775-440.0400912674120.279026604563751
77202162021619740.596376184593.3334981259738475.403623815547-0.254484208719289
78194201942019722.656344817787.3984851366954-302.656344817737-0.817847173612272
79194151941519854.736950351389.781836279546-439.7369503512840.328439734536982
80200182001819957.235716873590.460129309855960.76428312645370.0934873708840648
81186521865219856.486091141780.262607332886-1204.48609114171-1.40571677346299
82199781997819952.938898406981.12592629082225.06110159313020.119020635507625
83195091950919964.546753736877.4195110990556-455.54675373678-0.51102528352137
84219712197120006.558195266375.53188981643711964.44180473367-0.260279917278426

\begin{tabular}{lllllllll}
\hline
Structural Time Series Model \tabularnewline
t & Observed & Fitted & Level & Slope & Seasonal & Stand. Residuals \tabularnewline
1 & 13328 & 13328 & 13328 & 0 & 0 & 0 \tabularnewline
2 & 12873 & 12873 & 13200.6819478145 & 3.82578918514634 & -327.68194781448 & -1.30937963159356 \tabularnewline
3 & 14000 & 14000 & 13460.2391750261 & 22.0031954161445 & 539.760824973865 & 1.31765525270691 \tabularnewline
4 & 13477 & 13477 & 13535.9804208991 & 26.285105942988 & -58.9804208991019 & 0.311977226123143 \tabularnewline
5 & 14237 & 14237 & 13789.3673061054 & 42.1871681780315 & 447.632693894581 & 1.58162610681454 \tabularnewline
6 & 13674 & 13674 & 13834.0894067324 & 42.3300535845046 & -160.089406732357 & 0.0192376923718027 \tabularnewline
7 & 13529 & 13529 & 13756.2214150021 & 36.7762045798851 & -227.221415002069 & -0.937057013630214 \tabularnewline
8 & 14058 & 14058 & 13824.1263117638 & 38.052962469584 & 233.873688236230 & 0.243826417267901 \tabularnewline
9 & 12975 & 12975 & 13582.4987752674 & 26.9841057964398 & -607.498775267415 & -2.18590323595731 \tabularnewline
10 & 14326 & 14326 & 13729.7204596292 & 31.8225898323746 & 596.279540370772 & 0.935766933751675 \tabularnewline
11 & 14008 & 14008 & 13869.9742390004 & 36.3499767303937 & 138.025760999587 & 0.840035252978843 \tabularnewline
12 & 16193 & 16193 & 14657.8365021228 & 68.9600450982356 & 1535.16349787723 & 5.79802749363536 \tabularnewline
13 & 14483 & 14483 & 14941.1548111521 & 73.6530809516055 & -458.154811152081 & 1.70324729921804 \tabularnewline
14 & 14011 & 14011 & 14973.5337540679 & 72.56610002109 & -962.533754067875 & -0.330836466619584 \tabularnewline
15 & 15057 & 15057 & 14910.4226513923 & 66.9424354256193 & 146.577348607663 & -1.01555961592100 \tabularnewline
16 & 14884 & 14884 & 14966.9570940873 & 66.3965410181129 & -82.9570940873432 & -0.0738137548231807 \tabularnewline
17 & 15414 & 15414 & 14983.5563712051 & 63.5594131342866 & 430.443628794902 & -0.353622835038707 \tabularnewline
18 & 14440 & 14440 & 14842.0470949073 & 51.8576431761596 & -402.04709490728 & -1.49507756240521 \tabularnewline
19 & 14900 & 14900 & 14877.7132990105 & 50.965892265038 & 22.2867009895442 & -0.120639961851066 \tabularnewline
20 & 15074 & 15074 & 14855.4215561017 & 47.1049651949951 & 218.578443898257 & -0.551266726939755 \tabularnewline
21 & 14442 & 14442 & 14996.3157694375 & 51.8605348170913 & -554.315769437457 & 0.706960235998102 \tabularnewline
22 & 15307 & 15307 & 15087.0676218772 & 53.7716010293883 & 219.932378122800 & 0.292538866816767 \tabularnewline
23 & 14938 & 14938 & 15228.0596750919 & 57.9402455145203 & -290.059675091854 & 0.654261787956202 \tabularnewline
24 & 17193 & 17193 & 15465.3750700089 & 66.2993886136976 & 1727.62492999106 & 1.34474028856297 \tabularnewline
25 & 15528 & 15528 & 15699.5442321763 & 74.0185876088331 & -171.544232176331 & 1.26208555258566 \tabularnewline
26 & 14765 & 14765 & 15769.0633384170 & 73.806527430363 & -1004.06333841696 & -0.0337794511447212 \tabularnewline
27 & 15838 & 15838 & 15770.3671276436 & 70.2059502489409 & 67.6328723564073 & -0.537689018234094 \tabularnewline
28 & 15723 & 15723 & 15767.9178383391 & 66.4079039138715 & -44.9178383390633 & -0.531044660759293 \tabularnewline
29 & 16150 & 16150 & 15725.6628456300 & 60.5361068853177 & 424.337154370023 & -0.790177339025636 \tabularnewline
30 & 15486 & 15486 & 15780.2862005268 & 60.2124988847452 & -294.286200526844 & -0.0432200309184316 \tabularnewline
31 & 15986 & 15986 & 15877.3981740204 & 62.22620836171 & 108.601825979555 & 0.271983421683458 \tabularnewline
32 & 15983 & 15983 & 15928.7468785298 & 61.6397511119189 & 54.2531214702492 & -0.0806101036648515 \tabularnewline
33 & 15692 & 15692 & 16100.4317237832 & 67.4797360289696 & -408.431723783209 & 0.81632027217282 \tabularnewline
34 & 16490 & 16490 & 16282.1067353452 & 73.4467240256002 & 207.893264654839 & 0.845799882141688 \tabularnewline
35 & 15686 & 15686 & 16325.3374782275 & 71.8873726200522 & -639.337478227512 & -0.223472602865751 \tabularnewline
36 & 18897 & 18897 & 16661.1131040203 & 85.4097568335573 & 2235.88689597968 & 1.95194819402148 \tabularnewline
37 & 16316 & 16316 & 16723.0230360093 & 84.2053883081234 & -407.023036009263 & -0.174005251309701 \tabularnewline
38 & 15636 & 15636 & 16713.7172262334 & 79.3759710442796 & -1077.71722623338 & -0.692066109425585 \tabularnewline
39 & 17163 & 17163 & 16831.8964758517 & 81.4053879883748 & 331.103524148294 & 0.286209760715423 \tabularnewline
40 & 16534 & 16534 & 16796.1361257456 & 75.1967487352262 & -262.136125745639 & -0.86037097664727 \tabularnewline
41 & 16518 & 16518 & 16595.8167794313 & 60.4514073538403 & -77.8167794313284 & -2.01850104025196 \tabularnewline
42 & 16375 & 16375 & 16599.7307850088 & 57.4101151607113 & -224.730785008773 & -0.414637749542108 \tabularnewline
43 & 16290 & 16290 & 16513.5878467130 & 49.6847772582255 & -223.587846712959 & -1.05576587816445 \tabularnewline
44 & 16352 & 16352 & 16484.4540742751 & 45.4561734049545 & -132.454074275099 & -0.580951664466268 \tabularnewline
45 & 15943 & 15943 & 16491.1092344588 & 43.3849047873067 & -548.109234458764 & -0.286122147509981 \tabularnewline
46 & 16362 & 16362 & 16429.5983468821 & 37.815399736733 & -67.598346882089 & -0.772925383912537 \tabularnewline
47 & 16393 & 16393 & 16668.1332559756 & 48.4259559578775 & -275.133255975595 & 1.47794698241834 \tabularnewline
48 & 19051 & 19051 & 16787.415970105 & 52.1624974509109 & 2263.58402989500 & 0.521772960478365 \tabularnewline
49 & 16747 & 16747 & 16927.7340247171 & 56.8111048941409 & -180.734024717103 & 0.649499979507535 \tabularnewline
50 & 16320 & 16320 & 17113.0928791237 & 63.6042499082173 & -793.092879123735 & 0.947131566555392 \tabularnewline
51 & 17910 & 17910 & 17270.6418196161 & 68.5861444166098 & 639.358180383852 & 0.69150670359207 \tabularnewline
52 & 16961 & 16961 & 17247.8924516135 & 63.7246326602895 & -286.892451613550 & -0.6713115311164 \tabularnewline
53 & 17480 & 17480 & 17325.1191475745 & 64.44543616219 & 154.880852425541 & 0.0991472221876955 \tabularnewline
54 & 17049 & 17049 & 17312.0858576788 & 60.3022709007103 & -263.085857678771 & -0.569037817998455 \tabularnewline
55 & 16879 & 16879 & 17242.3671612108 & 53.3470467335768 & -363.367161210762 & -0.955814972472107 \tabularnewline
56 & 17473 & 17473 & 17351.5209957029 & 56.3300330641291 & 121.479004297149 & 0.410589954146277 \tabularnewline
57 & 16998 & 16998 & 17478.7527685271 & 60.1143242071860 & -480.752768527121 & 0.521754101189441 \tabularnewline
58 & 17307 & 17307 & 17568.4741109014 & 61.691898610739 & -261.474110901357 & 0.217805644509610 \tabularnewline
59 & 17418 & 17418 & 17693.3269836827 & 65.0524784499592 & -275.326983682686 & 0.464495230746059 \tabularnewline
60 & 20169 & 20169 & 17860.2494361084 & 70.4679492648824 & 2308.75056389164 & 0.749166786818708 \tabularnewline
61 & 17871 & 17871 & 18029.6405522991 & 75.7261447209669 & -158.640552299091 & 0.727666511577185 \tabularnewline
62 & 17226 & 17226 & 18110.5245115710 & 76.0004589058506 & -884.52451157104 & 0.037944235448267 \tabularnewline
63 & 19062 & 19062 & 18234.5572700254 & 78.5575403847418 & 827.442729974551 & 0.353264630573422 \tabularnewline
64 & 17804 & 17804 & 18242.1787611418 & 74.7770526629889 & -438.178761141842 & -0.521457348362567 \tabularnewline
65 & 19100 & 19100 & 18466.9457325059 & 82.7777917258623 & 633.05426749405 & 1.10218502294869 \tabularnewline
66 & 18522 & 18522 & 18650.2015252305 & 88.1403602173717 & -128.201525230506 & 0.73835603786959 \tabularnewline
67 & 18060 & 18060 & 18689.7287819752 & 85.5454667378949 & -629.728781975174 & -0.357337570795217 \tabularnewline
68 & 18869 & 18869 & 18776.8080028470 & 85.6273208044576 & 92.1919971530416 & 0.0112775352566685 \tabularnewline
69 & 18127 & 18127 & 18804.7135859381 & 82.5480841697832 & -677.713585938127 & -0.42445991711634 \tabularnewline
70 & 18871 & 18871 & 18981.1065816888 & 87.5518061361308 & -110.106581688841 & 0.690013654175918 \tabularnewline
71 & 18890 & 18890 & 19161.4235663533 & 92.4956725488576 & -271.423566353257 & 0.681978362131513 \tabularnewline
72 & 21263 & 21263 & 19208.5077582331 & 90.07621689668 & 2054.49224176685 & -0.333844069038362 \tabularnewline
73 & 19547 & 19547 & 19420.1933481326 & 96.5548995781493 & 126.806651867427 & 0.894098448192825 \tabularnewline
74 & 18450 & 18450 & 19505.3874021292 & 95.9495720151657 & -1055.38740212923 & -0.0835331354626137 \tabularnewline
75 & 20254 & 20254 & 19548.9265106949 & 93.156264971797 & 705.073489305116 & -0.385335983346102 \tabularnewline
76 & 19240 & 19240 & 19680.0400912674 & 95.179909819775 & -440.040091267412 & 0.279026604563751 \tabularnewline
77 & 20216 & 20216 & 19740.5963761845 & 93.3334981259738 & 475.403623815547 & -0.254484208719289 \tabularnewline
78 & 19420 & 19420 & 19722.6563448177 & 87.3984851366954 & -302.656344817737 & -0.817847173612272 \tabularnewline
79 & 19415 & 19415 & 19854.7369503513 & 89.781836279546 & -439.736950351284 & 0.328439734536982 \tabularnewline
80 & 20018 & 20018 & 19957.2357168735 & 90.4601293098559 & 60.7642831264537 & 0.0934873708840648 \tabularnewline
81 & 18652 & 18652 & 19856.4860911417 & 80.262607332886 & -1204.48609114171 & -1.40571677346299 \tabularnewline
82 & 19978 & 19978 & 19952.9388984069 & 81.125926290822 & 25.0611015931302 & 0.119020635507625 \tabularnewline
83 & 19509 & 19509 & 19964.5467537368 & 77.4195110990556 & -455.54675373678 & -0.51102528352137 \tabularnewline
84 & 21971 & 21971 & 20006.5581952663 & 75.5318898164371 & 1964.44180473367 & -0.260279917278426 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=10035&T=1

[TABLE]
[ROW][C]Structural Time Series Model[/C][/ROW]
[ROW][C]t[/C][C]Observed[/C][C]Fitted[/C][C]Level[/C][C]Slope[/C][C]Seasonal[/C][C]Stand. Residuals[/C][/ROW]
[ROW][C]1[/C][C]13328[/C][C]13328[/C][C]13328[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]12873[/C][C]12873[/C][C]13200.6819478145[/C][C]3.82578918514634[/C][C]-327.68194781448[/C][C]-1.30937963159356[/C][/ROW]
[ROW][C]3[/C][C]14000[/C][C]14000[/C][C]13460.2391750261[/C][C]22.0031954161445[/C][C]539.760824973865[/C][C]1.31765525270691[/C][/ROW]
[ROW][C]4[/C][C]13477[/C][C]13477[/C][C]13535.9804208991[/C][C]26.285105942988[/C][C]-58.9804208991019[/C][C]0.311977226123143[/C][/ROW]
[ROW][C]5[/C][C]14237[/C][C]14237[/C][C]13789.3673061054[/C][C]42.1871681780315[/C][C]447.632693894581[/C][C]1.58162610681454[/C][/ROW]
[ROW][C]6[/C][C]13674[/C][C]13674[/C][C]13834.0894067324[/C][C]42.3300535845046[/C][C]-160.089406732357[/C][C]0.0192376923718027[/C][/ROW]
[ROW][C]7[/C][C]13529[/C][C]13529[/C][C]13756.2214150021[/C][C]36.7762045798851[/C][C]-227.221415002069[/C][C]-0.937057013630214[/C][/ROW]
[ROW][C]8[/C][C]14058[/C][C]14058[/C][C]13824.1263117638[/C][C]38.052962469584[/C][C]233.873688236230[/C][C]0.243826417267901[/C][/ROW]
[ROW][C]9[/C][C]12975[/C][C]12975[/C][C]13582.4987752674[/C][C]26.9841057964398[/C][C]-607.498775267415[/C][C]-2.18590323595731[/C][/ROW]
[ROW][C]10[/C][C]14326[/C][C]14326[/C][C]13729.7204596292[/C][C]31.8225898323746[/C][C]596.279540370772[/C][C]0.935766933751675[/C][/ROW]
[ROW][C]11[/C][C]14008[/C][C]14008[/C][C]13869.9742390004[/C][C]36.3499767303937[/C][C]138.025760999587[/C][C]0.840035252978843[/C][/ROW]
[ROW][C]12[/C][C]16193[/C][C]16193[/C][C]14657.8365021228[/C][C]68.9600450982356[/C][C]1535.16349787723[/C][C]5.79802749363536[/C][/ROW]
[ROW][C]13[/C][C]14483[/C][C]14483[/C][C]14941.1548111521[/C][C]73.6530809516055[/C][C]-458.154811152081[/C][C]1.70324729921804[/C][/ROW]
[ROW][C]14[/C][C]14011[/C][C]14011[/C][C]14973.5337540679[/C][C]72.56610002109[/C][C]-962.533754067875[/C][C]-0.330836466619584[/C][/ROW]
[ROW][C]15[/C][C]15057[/C][C]15057[/C][C]14910.4226513923[/C][C]66.9424354256193[/C][C]146.577348607663[/C][C]-1.01555961592100[/C][/ROW]
[ROW][C]16[/C][C]14884[/C][C]14884[/C][C]14966.9570940873[/C][C]66.3965410181129[/C][C]-82.9570940873432[/C][C]-0.0738137548231807[/C][/ROW]
[ROW][C]17[/C][C]15414[/C][C]15414[/C][C]14983.5563712051[/C][C]63.5594131342866[/C][C]430.443628794902[/C][C]-0.353622835038707[/C][/ROW]
[ROW][C]18[/C][C]14440[/C][C]14440[/C][C]14842.0470949073[/C][C]51.8576431761596[/C][C]-402.04709490728[/C][C]-1.49507756240521[/C][/ROW]
[ROW][C]19[/C][C]14900[/C][C]14900[/C][C]14877.7132990105[/C][C]50.965892265038[/C][C]22.2867009895442[/C][C]-0.120639961851066[/C][/ROW]
[ROW][C]20[/C][C]15074[/C][C]15074[/C][C]14855.4215561017[/C][C]47.1049651949951[/C][C]218.578443898257[/C][C]-0.551266726939755[/C][/ROW]
[ROW][C]21[/C][C]14442[/C][C]14442[/C][C]14996.3157694375[/C][C]51.8605348170913[/C][C]-554.315769437457[/C][C]0.706960235998102[/C][/ROW]
[ROW][C]22[/C][C]15307[/C][C]15307[/C][C]15087.0676218772[/C][C]53.7716010293883[/C][C]219.932378122800[/C][C]0.292538866816767[/C][/ROW]
[ROW][C]23[/C][C]14938[/C][C]14938[/C][C]15228.0596750919[/C][C]57.9402455145203[/C][C]-290.059675091854[/C][C]0.654261787956202[/C][/ROW]
[ROW][C]24[/C][C]17193[/C][C]17193[/C][C]15465.3750700089[/C][C]66.2993886136976[/C][C]1727.62492999106[/C][C]1.34474028856297[/C][/ROW]
[ROW][C]25[/C][C]15528[/C][C]15528[/C][C]15699.5442321763[/C][C]74.0185876088331[/C][C]-171.544232176331[/C][C]1.26208555258566[/C][/ROW]
[ROW][C]26[/C][C]14765[/C][C]14765[/C][C]15769.0633384170[/C][C]73.806527430363[/C][C]-1004.06333841696[/C][C]-0.0337794511447212[/C][/ROW]
[ROW][C]27[/C][C]15838[/C][C]15838[/C][C]15770.3671276436[/C][C]70.2059502489409[/C][C]67.6328723564073[/C][C]-0.537689018234094[/C][/ROW]
[ROW][C]28[/C][C]15723[/C][C]15723[/C][C]15767.9178383391[/C][C]66.4079039138715[/C][C]-44.9178383390633[/C][C]-0.531044660759293[/C][/ROW]
[ROW][C]29[/C][C]16150[/C][C]16150[/C][C]15725.6628456300[/C][C]60.5361068853177[/C][C]424.337154370023[/C][C]-0.790177339025636[/C][/ROW]
[ROW][C]30[/C][C]15486[/C][C]15486[/C][C]15780.2862005268[/C][C]60.2124988847452[/C][C]-294.286200526844[/C][C]-0.0432200309184316[/C][/ROW]
[ROW][C]31[/C][C]15986[/C][C]15986[/C][C]15877.3981740204[/C][C]62.22620836171[/C][C]108.601825979555[/C][C]0.271983421683458[/C][/ROW]
[ROW][C]32[/C][C]15983[/C][C]15983[/C][C]15928.7468785298[/C][C]61.6397511119189[/C][C]54.2531214702492[/C][C]-0.0806101036648515[/C][/ROW]
[ROW][C]33[/C][C]15692[/C][C]15692[/C][C]16100.4317237832[/C][C]67.4797360289696[/C][C]-408.431723783209[/C][C]0.81632027217282[/C][/ROW]
[ROW][C]34[/C][C]16490[/C][C]16490[/C][C]16282.1067353452[/C][C]73.4467240256002[/C][C]207.893264654839[/C][C]0.845799882141688[/C][/ROW]
[ROW][C]35[/C][C]15686[/C][C]15686[/C][C]16325.3374782275[/C][C]71.8873726200522[/C][C]-639.337478227512[/C][C]-0.223472602865751[/C][/ROW]
[ROW][C]36[/C][C]18897[/C][C]18897[/C][C]16661.1131040203[/C][C]85.4097568335573[/C][C]2235.88689597968[/C][C]1.95194819402148[/C][/ROW]
[ROW][C]37[/C][C]16316[/C][C]16316[/C][C]16723.0230360093[/C][C]84.2053883081234[/C][C]-407.023036009263[/C][C]-0.174005251309701[/C][/ROW]
[ROW][C]38[/C][C]15636[/C][C]15636[/C][C]16713.7172262334[/C][C]79.3759710442796[/C][C]-1077.71722623338[/C][C]-0.692066109425585[/C][/ROW]
[ROW][C]39[/C][C]17163[/C][C]17163[/C][C]16831.8964758517[/C][C]81.4053879883748[/C][C]331.103524148294[/C][C]0.286209760715423[/C][/ROW]
[ROW][C]40[/C][C]16534[/C][C]16534[/C][C]16796.1361257456[/C][C]75.1967487352262[/C][C]-262.136125745639[/C][C]-0.86037097664727[/C][/ROW]
[ROW][C]41[/C][C]16518[/C][C]16518[/C][C]16595.8167794313[/C][C]60.4514073538403[/C][C]-77.8167794313284[/C][C]-2.01850104025196[/C][/ROW]
[ROW][C]42[/C][C]16375[/C][C]16375[/C][C]16599.7307850088[/C][C]57.4101151607113[/C][C]-224.730785008773[/C][C]-0.414637749542108[/C][/ROW]
[ROW][C]43[/C][C]16290[/C][C]16290[/C][C]16513.5878467130[/C][C]49.6847772582255[/C][C]-223.587846712959[/C][C]-1.05576587816445[/C][/ROW]
[ROW][C]44[/C][C]16352[/C][C]16352[/C][C]16484.4540742751[/C][C]45.4561734049545[/C][C]-132.454074275099[/C][C]-0.580951664466268[/C][/ROW]
[ROW][C]45[/C][C]15943[/C][C]15943[/C][C]16491.1092344588[/C][C]43.3849047873067[/C][C]-548.109234458764[/C][C]-0.286122147509981[/C][/ROW]
[ROW][C]46[/C][C]16362[/C][C]16362[/C][C]16429.5983468821[/C][C]37.815399736733[/C][C]-67.598346882089[/C][C]-0.772925383912537[/C][/ROW]
[ROW][C]47[/C][C]16393[/C][C]16393[/C][C]16668.1332559756[/C][C]48.4259559578775[/C][C]-275.133255975595[/C][C]1.47794698241834[/C][/ROW]
[ROW][C]48[/C][C]19051[/C][C]19051[/C][C]16787.415970105[/C][C]52.1624974509109[/C][C]2263.58402989500[/C][C]0.521772960478365[/C][/ROW]
[ROW][C]49[/C][C]16747[/C][C]16747[/C][C]16927.7340247171[/C][C]56.8111048941409[/C][C]-180.734024717103[/C][C]0.649499979507535[/C][/ROW]
[ROW][C]50[/C][C]16320[/C][C]16320[/C][C]17113.0928791237[/C][C]63.6042499082173[/C][C]-793.092879123735[/C][C]0.947131566555392[/C][/ROW]
[ROW][C]51[/C][C]17910[/C][C]17910[/C][C]17270.6418196161[/C][C]68.5861444166098[/C][C]639.358180383852[/C][C]0.69150670359207[/C][/ROW]
[ROW][C]52[/C][C]16961[/C][C]16961[/C][C]17247.8924516135[/C][C]63.7246326602895[/C][C]-286.892451613550[/C][C]-0.6713115311164[/C][/ROW]
[ROW][C]53[/C][C]17480[/C][C]17480[/C][C]17325.1191475745[/C][C]64.44543616219[/C][C]154.880852425541[/C][C]0.0991472221876955[/C][/ROW]
[ROW][C]54[/C][C]17049[/C][C]17049[/C][C]17312.0858576788[/C][C]60.3022709007103[/C][C]-263.085857678771[/C][C]-0.569037817998455[/C][/ROW]
[ROW][C]55[/C][C]16879[/C][C]16879[/C][C]17242.3671612108[/C][C]53.3470467335768[/C][C]-363.367161210762[/C][C]-0.955814972472107[/C][/ROW]
[ROW][C]56[/C][C]17473[/C][C]17473[/C][C]17351.5209957029[/C][C]56.3300330641291[/C][C]121.479004297149[/C][C]0.410589954146277[/C][/ROW]
[ROW][C]57[/C][C]16998[/C][C]16998[/C][C]17478.7527685271[/C][C]60.1143242071860[/C][C]-480.752768527121[/C][C]0.521754101189441[/C][/ROW]
[ROW][C]58[/C][C]17307[/C][C]17307[/C][C]17568.4741109014[/C][C]61.691898610739[/C][C]-261.474110901357[/C][C]0.217805644509610[/C][/ROW]
[ROW][C]59[/C][C]17418[/C][C]17418[/C][C]17693.3269836827[/C][C]65.0524784499592[/C][C]-275.326983682686[/C][C]0.464495230746059[/C][/ROW]
[ROW][C]60[/C][C]20169[/C][C]20169[/C][C]17860.2494361084[/C][C]70.4679492648824[/C][C]2308.75056389164[/C][C]0.749166786818708[/C][/ROW]
[ROW][C]61[/C][C]17871[/C][C]17871[/C][C]18029.6405522991[/C][C]75.7261447209669[/C][C]-158.640552299091[/C][C]0.727666511577185[/C][/ROW]
[ROW][C]62[/C][C]17226[/C][C]17226[/C][C]18110.5245115710[/C][C]76.0004589058506[/C][C]-884.52451157104[/C][C]0.037944235448267[/C][/ROW]
[ROW][C]63[/C][C]19062[/C][C]19062[/C][C]18234.5572700254[/C][C]78.5575403847418[/C][C]827.442729974551[/C][C]0.353264630573422[/C][/ROW]
[ROW][C]64[/C][C]17804[/C][C]17804[/C][C]18242.1787611418[/C][C]74.7770526629889[/C][C]-438.178761141842[/C][C]-0.521457348362567[/C][/ROW]
[ROW][C]65[/C][C]19100[/C][C]19100[/C][C]18466.9457325059[/C][C]82.7777917258623[/C][C]633.05426749405[/C][C]1.10218502294869[/C][/ROW]
[ROW][C]66[/C][C]18522[/C][C]18522[/C][C]18650.2015252305[/C][C]88.1403602173717[/C][C]-128.201525230506[/C][C]0.73835603786959[/C][/ROW]
[ROW][C]67[/C][C]18060[/C][C]18060[/C][C]18689.7287819752[/C][C]85.5454667378949[/C][C]-629.728781975174[/C][C]-0.357337570795217[/C][/ROW]
[ROW][C]68[/C][C]18869[/C][C]18869[/C][C]18776.8080028470[/C][C]85.6273208044576[/C][C]92.1919971530416[/C][C]0.0112775352566685[/C][/ROW]
[ROW][C]69[/C][C]18127[/C][C]18127[/C][C]18804.7135859381[/C][C]82.5480841697832[/C][C]-677.713585938127[/C][C]-0.42445991711634[/C][/ROW]
[ROW][C]70[/C][C]18871[/C][C]18871[/C][C]18981.1065816888[/C][C]87.5518061361308[/C][C]-110.106581688841[/C][C]0.690013654175918[/C][/ROW]
[ROW][C]71[/C][C]18890[/C][C]18890[/C][C]19161.4235663533[/C][C]92.4956725488576[/C][C]-271.423566353257[/C][C]0.681978362131513[/C][/ROW]
[ROW][C]72[/C][C]21263[/C][C]21263[/C][C]19208.5077582331[/C][C]90.07621689668[/C][C]2054.49224176685[/C][C]-0.333844069038362[/C][/ROW]
[ROW][C]73[/C][C]19547[/C][C]19547[/C][C]19420.1933481326[/C][C]96.5548995781493[/C][C]126.806651867427[/C][C]0.894098448192825[/C][/ROW]
[ROW][C]74[/C][C]18450[/C][C]18450[/C][C]19505.3874021292[/C][C]95.9495720151657[/C][C]-1055.38740212923[/C][C]-0.0835331354626137[/C][/ROW]
[ROW][C]75[/C][C]20254[/C][C]20254[/C][C]19548.9265106949[/C][C]93.156264971797[/C][C]705.073489305116[/C][C]-0.385335983346102[/C][/ROW]
[ROW][C]76[/C][C]19240[/C][C]19240[/C][C]19680.0400912674[/C][C]95.179909819775[/C][C]-440.040091267412[/C][C]0.279026604563751[/C][/ROW]
[ROW][C]77[/C][C]20216[/C][C]20216[/C][C]19740.5963761845[/C][C]93.3334981259738[/C][C]475.403623815547[/C][C]-0.254484208719289[/C][/ROW]
[ROW][C]78[/C][C]19420[/C][C]19420[/C][C]19722.6563448177[/C][C]87.3984851366954[/C][C]-302.656344817737[/C][C]-0.817847173612272[/C][/ROW]
[ROW][C]79[/C][C]19415[/C][C]19415[/C][C]19854.7369503513[/C][C]89.781836279546[/C][C]-439.736950351284[/C][C]0.328439734536982[/C][/ROW]
[ROW][C]80[/C][C]20018[/C][C]20018[/C][C]19957.2357168735[/C][C]90.4601293098559[/C][C]60.7642831264537[/C][C]0.0934873708840648[/C][/ROW]
[ROW][C]81[/C][C]18652[/C][C]18652[/C][C]19856.4860911417[/C][C]80.262607332886[/C][C]-1204.48609114171[/C][C]-1.40571677346299[/C][/ROW]
[ROW][C]82[/C][C]19978[/C][C]19978[/C][C]19952.9388984069[/C][C]81.125926290822[/C][C]25.0611015931302[/C][C]0.119020635507625[/C][/ROW]
[ROW][C]83[/C][C]19509[/C][C]19509[/C][C]19964.5467537368[/C][C]77.4195110990556[/C][C]-455.54675373678[/C][C]-0.51102528352137[/C][/ROW]
[ROW][C]84[/C][C]21971[/C][C]21971[/C][C]20006.5581952663[/C][C]75.5318898164371[/C][C]1964.44180473367[/C][C]-0.260279917278426[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=10035&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=10035&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
tObservedFittedLevelSlopeSeasonalStand. Residuals
1133281332813328000
2128731287313200.68194781453.82578918514634-327.68194781448-1.30937963159356
3140001400013460.239175026122.0031954161445539.7608249738651.31765525270691
4134771347713535.980420899126.285105942988-58.98042089910190.311977226123143
5142371423713789.367306105442.1871681780315447.6326938945811.58162610681454
6136741367413834.089406732442.3300535845046-160.0894067323570.0192376923718027
7135291352913756.221415002136.7762045798851-227.221415002069-0.937057013630214
8140581405813824.126311763838.052962469584233.8736882362300.243826417267901
9129751297513582.498775267426.9841057964398-607.498775267415-2.18590323595731
10143261432613729.720459629231.8225898323746596.2795403707720.935766933751675
11140081400813869.974239000436.3499767303937138.0257609995870.840035252978843
12161931619314657.836502122868.96004509823561535.163497877235.79802749363536
13144831448314941.154811152173.6530809516055-458.1548111520811.70324729921804
14140111401114973.533754067972.56610002109-962.533754067875-0.330836466619584
15150571505714910.422651392366.9424354256193146.577348607663-1.01555961592100
16148841488414966.957094087366.3965410181129-82.9570940873432-0.0738137548231807
17154141541414983.556371205163.5594131342866430.443628794902-0.353622835038707
18144401444014842.047094907351.8576431761596-402.04709490728-1.49507756240521
19149001490014877.713299010550.96589226503822.2867009895442-0.120639961851066
20150741507414855.421556101747.1049651949951218.578443898257-0.551266726939755
21144421444214996.315769437551.8605348170913-554.3157694374570.706960235998102
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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$resid)
myfit <- mylevel+myseas
bitmap(file='test1.png')
op <- par(mfrow = c(2,1))
plot(as.numeric(x),main='Interpolation Fit',ylab='Observed (black) / Fitted (red)',xlab='time',type='b')
lines(myfit, col = 'red')
grid()
plot(as.numeric(m$resid),main='Standardized Residuals',ylab='Residuals',xlab='time')
grid()
par(op)
dev.off()
mylagmax <- nx/2
bitmap(file='test2.png')
op <- par(mfrow = c(3,2))
acf(as.numeric(x),lag.max = mylagmax,main='Observed')
acf(myfit,na.action=na.pass,lag.max = mylagmax,main='Fitted')
acf(mylevel,na.action=na.pass,lag.max = mylagmax,main='Level')
acf(myslope,na.action=na.pass,lag.max = mylagmax,main='Slope')
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(3,2))
spectrum(as.numeric(x),main='Observed')
spectrum(myfit,main='Fitted')
spectrum(mylevel,main='Level')
spectrum(myslope,main='Slope')
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(myfit,main='Fitted')
cpgram(myseas,main='Seasonal')
cpgram(myresid,main='Standardized Residals')
par(op)
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',7,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,'Fitted',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,myfit[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')