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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 computationTue, 14 Dec 2010 09:54:17 +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/14/t129232039447lvhkh119whqk8.htm/, Retrieved Thu, 02 May 2024 22:52:10 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=109334, Retrieved Thu, 02 May 2024 22:52:10 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact130
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Data Series] [data set] [2008-12-01 19:54:57] [b98453cac15ba1066b407e146608df68]
- RMP   [Structural Time Series Models] [Unemployment] [2010-11-30 13:26:46] [b98453cac15ba1066b407e146608df68]
-    D      [Structural Time Series Models] [paper - STSM] [2010-12-14 09:54:17] [5398da98f4f83c6a353e4d3806d4bcaa] [Current]
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Dataseries X:
235.1
280.7
264.6
240.7
201.4
240.8
241.1
223.8
206.1
174.7
203.3
220.5
299.5
347.4
338.3
327.7
351.6
396.6
438.8
395.6
363.5
378.8
357
369
464.8
479.1
431.3
366.5
326.3
355.1
331.6
261.3
249
205.5
235.6
240.9
264.9
253.8
232.3
193.8
177
213.2
207.2
180.6
188.6
175.4
199
179.6
225.8
234
200.2
183.6
178.2
203.2
208.5
191.8
172.8
148
159.4
154.5
213.2
196.4
182.8
176.4
153.6
173.2
171
151.2
161.9
157.2
201.7
236.4
356.1
398.3
403.7
384.6
365.8
368.1
367.9
347
343.3
292.9
311.5
300.9
366.9
356.9
329.7
316.2
269
289.3
266.2
253.6
233.8
228.4
253.6
260.1
306.6
309.2
309.5
271
279.9
317.9
298.4
246.7
227.3
209.1




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 3 seconds \tabularnewline
R Server & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=109334&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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=109334&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=109334&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 time3 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk







Structural Time Series Model
tObservedLevelSlopeSeasonalStand. Residuals
1235.1235.1000
2280.7277.8786495365732.330226086782832.821350463427140.970748348648947
3264.6263.7432012746972.180849669229260.85679872530267-0.619229234750829
4240.7239.8433781505052.08156342882720.856621849495357-0.981939970825554
5201.4201.3762891672571.909251153853910.0237108327428216-1.52650067638383
6240.8235.9744973263262.051922029517724.825502673673661.23060003543256
7241.1239.6119008093752.058813813329221.488099190625340.0596862597994536
8223.8222.9690366730381.977918601451710.83096332696227-0.704028345304963
9206.1205.0153352901251.892078656004551.08466470987538-0.750323320077933
10174.7174.4744962189741.752997078053280.225503781025959-1.22092274127319
11203.3199.4064874856461.851970917035773.893512514354430.872555580311552
12220.5218.0476602853451.923355658002832.452339714654740.632011451096794
13299.5287.629602259823-0.86760248960761611.87039774017723.03148776271513
14347.4342.9654726255570.3790120233824874.434527374443391.83263819796448
15338.3340.4690155858030.356887296458952-2.16901558580277-0.107635272395743
16327.7327.2272781252380.3271819550377260.472721874762107-0.511563789044118
17351.6352.0077238833460.377447255130508-0.4077238833457280.9196677598882
18396.6390.6451020985020.4646426184647075.954897901497761.43887172529361
19438.8434.955306077450.5661958061265853.844693922549841.64893554230362
20395.6400.6445056992010.485738158637949-5.04450569920147-1.31164670295768
21363.5364.3865115302680.401243320369816-0.886511530267548-1.38184677146244
22378.8378.1383588935040.4325660810183950.6616411064962410.502108429645941
23357356.834552976950.3775873474382910.16544702304971-0.817690266447621
24369369.9853315609090.384746367573487-0.9853315609091660.479963011744462
25464.8448.359782102865-0.95261110717052516.44021789713463.16072755887902
26479.1473.976014820179-0.6174555350889525.123985179821180.929711541026138
27431.3438.537263291325-0.866908056398829-7.23726329132483-1.29881299324509
28366.5375.533102786943-1.00552791824276-9.0331027869426-2.33722465655691
29326.3333.857846689265-1.066383287159-7.55784668926473-1.52925385263982
30355.1351.448844508518-1.035029901686873.651155491482180.701489228820092
31331.6329.787635939933-1.071667224250511.8123640600669-0.775501364074007
32261.3271.108918949166-1.1744235245023-9.80891894916622-2.16590539741366
33249253.018497675771-1.20483220310683-4.01849767577088-0.636017003299866
34205.5208.403384406243-1.28805219859473-2.90338440624275-1.63238768937127
35235.6231.999772538107-1.240678041787063.600227461893210.935879152931365
36240.9247.823166255779-1.25510060519951-6.923166255778770.641295741386453
37264.9250.284097820484-1.2905106145606114.6159021795160.145382946982042
38253.8245.692123336567-1.317269647787248.10787666343303-0.119002213600224
39232.3234.817945248688-1.37958959139681-2.51794524868753-0.355772478318949
40193.8202.73398965515-1.45637101285456-8.93398965515026-1.15465544133388
41177188.624602298952-1.47351848902422-11.6246022989522-0.475763129355498
42213.2205.590093773085-1.447805999335437.60990622691510.693221143161009
43207.2200.916254522455-1.452701841901746.28374547754533-0.121278642607948
44180.6190.481928935706-1.46672383207795-9.88192893570593-0.337652686755762
45188.6187.405599926681-1.469327691938191.19440007331936-0.0605145835274915
46175.4181.478623112595-1.47708960647708-6.0786231125948-0.167622094603992
47199195.241497517955-1.455656899795543.758502482045360.572988137806708
48179.6188.219680779707-1.44789933366152-8.61968077970726-0.209318719590888
49225.8206.751333517532-1.5644960173782619.04866648246820.76848762703954
50234223.065580606754-1.4639301160363410.93441939324610.654219739057499
51200.2202.505629378843-1.5752420285696-2.30562937884331-0.710437435101487
52183.6191.981438357092-1.59960093301114-8.38143835709222-0.336396421379105
53178.2191.742035793182-1.59772695531059-13.54203579318170.0511454674329914
54203.2194.723135870074-1.59203102057658.476864129925870.172138421528538
55208.5200.365893371415-1.582217278278318.13410662858470.271968796776699
56191.8201.385859883033-1.57846597785625-9.585859883033330.0978210181111924
57172.8174.801385503025-1.61687907579335-2.0013855030251-0.94011818207454
58148157.444426450243-1.64202614145225-9.44442645024321-0.591867426850214
59159.4154.281024677452-1.643539550166275.11897532254839-0.05718434529103
60154.5163.548671082677-1.66014566532345-9.048671082676930.410530171528305
61213.2191.453647226868-1.7706570822421.74635277313161.12670176747893
62196.4184.13384785248-1.7937132976556612.2661521475203-0.204759501229022
63182.8183.950128304675-1.78538970014308-1.150128304674510.0599079372382813
64176.4184.777272933263-1.77795238124193-8.377272933262920.098158498217201
65153.6169.995333661313-1.79693020877862-16.3953336613133-0.488973239178999
66173.2166.174348658389-1.799305208803727.02565134161057-0.0760932744058476
67171163.703920548511-1.800144337291327.29607945148886-0.0252282899401596
68151.2158.363313219096-1.8049783523128-7.16331321909565-0.133091170537747
69161.9161.084654800455-1.798295054578640.8153451995446750.170172419764591
70157.2165.404042147141-1.7894361735729-8.20404214714060.230027221234123
71201.7193.64076153313-1.769050735404388.059238466869761.12837708005752
72236.4242.357316357528-1.84218716255518-5.95731635752821.89996872062642
73356.1321.962822594572-2.0412457125970234.13717740542813.0871749406237
74398.3380.247061482248-1.845773932211218.05293851775242.23698639182873
75403.7404.093269659919-1.72805764323721-0.3932696599186390.956553297653652
76384.6394.192245057296-1.75164779243467-9.59224505729585-0.306924442566173
77365.8383.64743087803-1.7652989272544-17.8474308780302-0.330630189545905
78368.1363.499426790646-1.786498707633944.60057320935429-0.691096792250607
79367.9359.562989573822-1.78904238862938.33701042617826-0.0808190585594544
80347354.186281296983-1.79373729535243-7.18628129698305-0.134867054357131
81343.3343.178264442168-1.806762762562050.1217355578317-0.346425836382056
82292.9308.174409905557-1.84979303894569-15.2744099055567-1.24811184619951
83311.5307.705355012032-1.849169794518243.794644987967830.051881815665856
84300.9315.245207649637-1.8612639467077-14.34520764963720.35335393291527
85366.9337.609473280529-1.90008085334729.29052671947150.915205323162074
86356.9342.01444749463-1.8833833259405314.88555250537010.234522439617019
87329.7331.051109104116-1.92038162825464-1.35110910411592-0.338309090180236
88316.2325.503761752541-1.93076967531457-9.30376175254145-0.136146005445651
89269289.897988238813-1.98587549698718-20.8979882388133-1.26612605691273
90289.3284.622530832517-1.98970402171294.67746916748271-0.12367364430659
91266.2260.825155134065-2.014651270455575.37484486593492-0.819794525928847
92253.6259.007992389454-2.01440222402308-5.407992389454140.00742412733846554
93233.8232.74850371286-2.046957961231121.05149628713982-0.911534056284188
94228.4241.458219853056-2.03457831649602-13.05821985305560.404377419767221
95253.6249.498750452866-2.031601728750144.101249547133870.378554512134653
96260.1273.67771583308-2.06040113380946-13.577715833080.986316516776123
97306.6277.599488427056-2.0665767863473629.00051157294390.225522500113115
98309.2291.290720004724-2.0311064177211617.90927999527630.587299970662815
99309.5308.27352349758-1.961799043299621.226476502420310.708971826909975
100271280.763372675471-2.03337485435866-9.76337267547105-0.958668298741562
101279.9297.412273662904-2.001546887085-17.5122736629040.70235667542396
102317.9308.755261491531-1.98564894683859.144738508468490.501702270033072
103298.4294.937184155733-1.998948547818843.46281584426708-0.444816503816065
104246.7254.435782600903-2.04585833959804-7.73578260090311-1.44744849988057
105227.3229.938047964283-2.07429386159314-2.63804796428298-0.844105406239112
106209.1223.194361511141-2.07904842165478-14.0943615111413-0.175519482986977

\begin{tabular}{lllllllll}
\hline
Structural Time Series Model \tabularnewline
t & Observed & Level & Slope & Seasonal & Stand. Residuals \tabularnewline
1 & 235.1 & 235.1 & 0 & 0 & 0 \tabularnewline
2 & 280.7 & 277.878649536573 & 2.33022608678283 & 2.82135046342714 & 0.970748348648947 \tabularnewline
3 & 264.6 & 263.743201274697 & 2.18084966922926 & 0.85679872530267 & -0.619229234750829 \tabularnewline
4 & 240.7 & 239.843378150505 & 2.0815634288272 & 0.856621849495357 & -0.981939970825554 \tabularnewline
5 & 201.4 & 201.376289167257 & 1.90925115385391 & 0.0237108327428216 & -1.52650067638383 \tabularnewline
6 & 240.8 & 235.974497326326 & 2.05192202951772 & 4.82550267367366 & 1.23060003543256 \tabularnewline
7 & 241.1 & 239.611900809375 & 2.05881381332922 & 1.48809919062534 & 0.0596862597994536 \tabularnewline
8 & 223.8 & 222.969036673038 & 1.97791860145171 & 0.83096332696227 & -0.704028345304963 \tabularnewline
9 & 206.1 & 205.015335290125 & 1.89207865600455 & 1.08466470987538 & -0.750323320077933 \tabularnewline
10 & 174.7 & 174.474496218974 & 1.75299707805328 & 0.225503781025959 & -1.22092274127319 \tabularnewline
11 & 203.3 & 199.406487485646 & 1.85197091703577 & 3.89351251435443 & 0.872555580311552 \tabularnewline
12 & 220.5 & 218.047660285345 & 1.92335565800283 & 2.45233971465474 & 0.632011451096794 \tabularnewline
13 & 299.5 & 287.629602259823 & -0.867602489607616 & 11.8703977401772 & 3.03148776271513 \tabularnewline
14 & 347.4 & 342.965472625557 & 0.379012023382487 & 4.43452737444339 & 1.83263819796448 \tabularnewline
15 & 338.3 & 340.469015585803 & 0.356887296458952 & -2.16901558580277 & -0.107635272395743 \tabularnewline
16 & 327.7 & 327.227278125238 & 0.327181955037726 & 0.472721874762107 & -0.511563789044118 \tabularnewline
17 & 351.6 & 352.007723883346 & 0.377447255130508 & -0.407723883345728 & 0.9196677598882 \tabularnewline
18 & 396.6 & 390.645102098502 & 0.464642618464707 & 5.95489790149776 & 1.43887172529361 \tabularnewline
19 & 438.8 & 434.95530607745 & 0.566195806126585 & 3.84469392254984 & 1.64893554230362 \tabularnewline
20 & 395.6 & 400.644505699201 & 0.485738158637949 & -5.04450569920147 & -1.31164670295768 \tabularnewline
21 & 363.5 & 364.386511530268 & 0.401243320369816 & -0.886511530267548 & -1.38184677146244 \tabularnewline
22 & 378.8 & 378.138358893504 & 0.432566081018395 & 0.661641106496241 & 0.502108429645941 \tabularnewline
23 & 357 & 356.83455297695 & 0.377587347438291 & 0.16544702304971 & -0.817690266447621 \tabularnewline
24 & 369 & 369.985331560909 & 0.384746367573487 & -0.985331560909166 & 0.479963011744462 \tabularnewline
25 & 464.8 & 448.359782102865 & -0.952611107170525 & 16.4402178971346 & 3.16072755887902 \tabularnewline
26 & 479.1 & 473.976014820179 & -0.617455535088952 & 5.12398517982118 & 0.929711541026138 \tabularnewline
27 & 431.3 & 438.537263291325 & -0.866908056398829 & -7.23726329132483 & -1.29881299324509 \tabularnewline
28 & 366.5 & 375.533102786943 & -1.00552791824276 & -9.0331027869426 & -2.33722465655691 \tabularnewline
29 & 326.3 & 333.857846689265 & -1.066383287159 & -7.55784668926473 & -1.52925385263982 \tabularnewline
30 & 355.1 & 351.448844508518 & -1.03502990168687 & 3.65115549148218 & 0.701489228820092 \tabularnewline
31 & 331.6 & 329.787635939933 & -1.07166722425051 & 1.8123640600669 & -0.775501364074007 \tabularnewline
32 & 261.3 & 271.108918949166 & -1.1744235245023 & -9.80891894916622 & -2.16590539741366 \tabularnewline
33 & 249 & 253.018497675771 & -1.20483220310683 & -4.01849767577088 & -0.636017003299866 \tabularnewline
34 & 205.5 & 208.403384406243 & -1.28805219859473 & -2.90338440624275 & -1.63238768937127 \tabularnewline
35 & 235.6 & 231.999772538107 & -1.24067804178706 & 3.60022746189321 & 0.935879152931365 \tabularnewline
36 & 240.9 & 247.823166255779 & -1.25510060519951 & -6.92316625577877 & 0.641295741386453 \tabularnewline
37 & 264.9 & 250.284097820484 & -1.29051061456061 & 14.615902179516 & 0.145382946982042 \tabularnewline
38 & 253.8 & 245.692123336567 & -1.31726964778724 & 8.10787666343303 & -0.119002213600224 \tabularnewline
39 & 232.3 & 234.817945248688 & -1.37958959139681 & -2.51794524868753 & -0.355772478318949 \tabularnewline
40 & 193.8 & 202.73398965515 & -1.45637101285456 & -8.93398965515026 & -1.15465544133388 \tabularnewline
41 & 177 & 188.624602298952 & -1.47351848902422 & -11.6246022989522 & -0.475763129355498 \tabularnewline
42 & 213.2 & 205.590093773085 & -1.44780599933543 & 7.6099062269151 & 0.693221143161009 \tabularnewline
43 & 207.2 & 200.916254522455 & -1.45270184190174 & 6.28374547754533 & -0.121278642607948 \tabularnewline
44 & 180.6 & 190.481928935706 & -1.46672383207795 & -9.88192893570593 & -0.337652686755762 \tabularnewline
45 & 188.6 & 187.405599926681 & -1.46932769193819 & 1.19440007331936 & -0.0605145835274915 \tabularnewline
46 & 175.4 & 181.478623112595 & -1.47708960647708 & -6.0786231125948 & -0.167622094603992 \tabularnewline
47 & 199 & 195.241497517955 & -1.45565689979554 & 3.75850248204536 & 0.572988137806708 \tabularnewline
48 & 179.6 & 188.219680779707 & -1.44789933366152 & -8.61968077970726 & -0.209318719590888 \tabularnewline
49 & 225.8 & 206.751333517532 & -1.56449601737826 & 19.0486664824682 & 0.76848762703954 \tabularnewline
50 & 234 & 223.065580606754 & -1.46393011603634 & 10.9344193932461 & 0.654219739057499 \tabularnewline
51 & 200.2 & 202.505629378843 & -1.5752420285696 & -2.30562937884331 & -0.710437435101487 \tabularnewline
52 & 183.6 & 191.981438357092 & -1.59960093301114 & -8.38143835709222 & -0.336396421379105 \tabularnewline
53 & 178.2 & 191.742035793182 & -1.59772695531059 & -13.5420357931817 & 0.0511454674329914 \tabularnewline
54 & 203.2 & 194.723135870074 & -1.5920310205765 & 8.47686412992587 & 0.172138421528538 \tabularnewline
55 & 208.5 & 200.365893371415 & -1.58221727827831 & 8.1341066285847 & 0.271968796776699 \tabularnewline
56 & 191.8 & 201.385859883033 & -1.57846597785625 & -9.58585988303333 & 0.0978210181111924 \tabularnewline
57 & 172.8 & 174.801385503025 & -1.61687907579335 & -2.0013855030251 & -0.94011818207454 \tabularnewline
58 & 148 & 157.444426450243 & -1.64202614145225 & -9.44442645024321 & -0.591867426850214 \tabularnewline
59 & 159.4 & 154.281024677452 & -1.64353955016627 & 5.11897532254839 & -0.05718434529103 \tabularnewline
60 & 154.5 & 163.548671082677 & -1.66014566532345 & -9.04867108267693 & 0.410530171528305 \tabularnewline
61 & 213.2 & 191.453647226868 & -1.77065708224 & 21.7463527731316 & 1.12670176747893 \tabularnewline
62 & 196.4 & 184.13384785248 & -1.79371329765566 & 12.2661521475203 & -0.204759501229022 \tabularnewline
63 & 182.8 & 183.950128304675 & -1.78538970014308 & -1.15012830467451 & 0.0599079372382813 \tabularnewline
64 & 176.4 & 184.777272933263 & -1.77795238124193 & -8.37727293326292 & 0.098158498217201 \tabularnewline
65 & 153.6 & 169.995333661313 & -1.79693020877862 & -16.3953336613133 & -0.488973239178999 \tabularnewline
66 & 173.2 & 166.174348658389 & -1.79930520880372 & 7.02565134161057 & -0.0760932744058476 \tabularnewline
67 & 171 & 163.703920548511 & -1.80014433729132 & 7.29607945148886 & -0.0252282899401596 \tabularnewline
68 & 151.2 & 158.363313219096 & -1.8049783523128 & -7.16331321909565 & -0.133091170537747 \tabularnewline
69 & 161.9 & 161.084654800455 & -1.79829505457864 & 0.815345199544675 & 0.170172419764591 \tabularnewline
70 & 157.2 & 165.404042147141 & -1.7894361735729 & -8.2040421471406 & 0.230027221234123 \tabularnewline
71 & 201.7 & 193.64076153313 & -1.76905073540438 & 8.05923846686976 & 1.12837708005752 \tabularnewline
72 & 236.4 & 242.357316357528 & -1.84218716255518 & -5.9573163575282 & 1.89996872062642 \tabularnewline
73 & 356.1 & 321.962822594572 & -2.04124571259702 & 34.1371774054281 & 3.0871749406237 \tabularnewline
74 & 398.3 & 380.247061482248 & -1.8457739322112 & 18.0529385177524 & 2.23698639182873 \tabularnewline
75 & 403.7 & 404.093269659919 & -1.72805764323721 & -0.393269659918639 & 0.956553297653652 \tabularnewline
76 & 384.6 & 394.192245057296 & -1.75164779243467 & -9.59224505729585 & -0.306924442566173 \tabularnewline
77 & 365.8 & 383.64743087803 & -1.7652989272544 & -17.8474308780302 & -0.330630189545905 \tabularnewline
78 & 368.1 & 363.499426790646 & -1.78649870763394 & 4.60057320935429 & -0.691096792250607 \tabularnewline
79 & 367.9 & 359.562989573822 & -1.7890423886293 & 8.33701042617826 & -0.0808190585594544 \tabularnewline
80 & 347 & 354.186281296983 & -1.79373729535243 & -7.18628129698305 & -0.134867054357131 \tabularnewline
81 & 343.3 & 343.178264442168 & -1.80676276256205 & 0.1217355578317 & -0.346425836382056 \tabularnewline
82 & 292.9 & 308.174409905557 & -1.84979303894569 & -15.2744099055567 & -1.24811184619951 \tabularnewline
83 & 311.5 & 307.705355012032 & -1.84916979451824 & 3.79464498796783 & 0.051881815665856 \tabularnewline
84 & 300.9 & 315.245207649637 & -1.8612639467077 & -14.3452076496372 & 0.35335393291527 \tabularnewline
85 & 366.9 & 337.609473280529 & -1.900080853347 & 29.2905267194715 & 0.915205323162074 \tabularnewline
86 & 356.9 & 342.01444749463 & -1.88338332594053 & 14.8855525053701 & 0.234522439617019 \tabularnewline
87 & 329.7 & 331.051109104116 & -1.92038162825464 & -1.35110910411592 & -0.338309090180236 \tabularnewline
88 & 316.2 & 325.503761752541 & -1.93076967531457 & -9.30376175254145 & -0.136146005445651 \tabularnewline
89 & 269 & 289.897988238813 & -1.98587549698718 & -20.8979882388133 & -1.26612605691273 \tabularnewline
90 & 289.3 & 284.622530832517 & -1.9897040217129 & 4.67746916748271 & -0.12367364430659 \tabularnewline
91 & 266.2 & 260.825155134065 & -2.01465127045557 & 5.37484486593492 & -0.819794525928847 \tabularnewline
92 & 253.6 & 259.007992389454 & -2.01440222402308 & -5.40799238945414 & 0.00742412733846554 \tabularnewline
93 & 233.8 & 232.74850371286 & -2.04695796123112 & 1.05149628713982 & -0.911534056284188 \tabularnewline
94 & 228.4 & 241.458219853056 & -2.03457831649602 & -13.0582198530556 & 0.404377419767221 \tabularnewline
95 & 253.6 & 249.498750452866 & -2.03160172875014 & 4.10124954713387 & 0.378554512134653 \tabularnewline
96 & 260.1 & 273.67771583308 & -2.06040113380946 & -13.57771583308 & 0.986316516776123 \tabularnewline
97 & 306.6 & 277.599488427056 & -2.06657678634736 & 29.0005115729439 & 0.225522500113115 \tabularnewline
98 & 309.2 & 291.290720004724 & -2.03110641772116 & 17.9092799952763 & 0.587299970662815 \tabularnewline
99 & 309.5 & 308.27352349758 & -1.96179904329962 & 1.22647650242031 & 0.708971826909975 \tabularnewline
100 & 271 & 280.763372675471 & -2.03337485435866 & -9.76337267547105 & -0.958668298741562 \tabularnewline
101 & 279.9 & 297.412273662904 & -2.001546887085 & -17.512273662904 & 0.70235667542396 \tabularnewline
102 & 317.9 & 308.755261491531 & -1.9856489468385 & 9.14473850846849 & 0.501702270033072 \tabularnewline
103 & 298.4 & 294.937184155733 & -1.99894854781884 & 3.46281584426708 & -0.444816503816065 \tabularnewline
104 & 246.7 & 254.435782600903 & -2.04585833959804 & -7.73578260090311 & -1.44744849988057 \tabularnewline
105 & 227.3 & 229.938047964283 & -2.07429386159314 & -2.63804796428298 & -0.844105406239112 \tabularnewline
106 & 209.1 & 223.194361511141 & -2.07904842165478 & -14.0943615111413 & -0.175519482986977 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=109334&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]235.1[/C][C]235.1[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]280.7[/C][C]277.878649536573[/C][C]2.33022608678283[/C][C]2.82135046342714[/C][C]0.970748348648947[/C][/ROW]
[ROW][C]3[/C][C]264.6[/C][C]263.743201274697[/C][C]2.18084966922926[/C][C]0.85679872530267[/C][C]-0.619229234750829[/C][/ROW]
[ROW][C]4[/C][C]240.7[/C][C]239.843378150505[/C][C]2.0815634288272[/C][C]0.856621849495357[/C][C]-0.981939970825554[/C][/ROW]
[ROW][C]5[/C][C]201.4[/C][C]201.376289167257[/C][C]1.90925115385391[/C][C]0.0237108327428216[/C][C]-1.52650067638383[/C][/ROW]
[ROW][C]6[/C][C]240.8[/C][C]235.974497326326[/C][C]2.05192202951772[/C][C]4.82550267367366[/C][C]1.23060003543256[/C][/ROW]
[ROW][C]7[/C][C]241.1[/C][C]239.611900809375[/C][C]2.05881381332922[/C][C]1.48809919062534[/C][C]0.0596862597994536[/C][/ROW]
[ROW][C]8[/C][C]223.8[/C][C]222.969036673038[/C][C]1.97791860145171[/C][C]0.83096332696227[/C][C]-0.704028345304963[/C][/ROW]
[ROW][C]9[/C][C]206.1[/C][C]205.015335290125[/C][C]1.89207865600455[/C][C]1.08466470987538[/C][C]-0.750323320077933[/C][/ROW]
[ROW][C]10[/C][C]174.7[/C][C]174.474496218974[/C][C]1.75299707805328[/C][C]0.225503781025959[/C][C]-1.22092274127319[/C][/ROW]
[ROW][C]11[/C][C]203.3[/C][C]199.406487485646[/C][C]1.85197091703577[/C][C]3.89351251435443[/C][C]0.872555580311552[/C][/ROW]
[ROW][C]12[/C][C]220.5[/C][C]218.047660285345[/C][C]1.92335565800283[/C][C]2.45233971465474[/C][C]0.632011451096794[/C][/ROW]
[ROW][C]13[/C][C]299.5[/C][C]287.629602259823[/C][C]-0.867602489607616[/C][C]11.8703977401772[/C][C]3.03148776271513[/C][/ROW]
[ROW][C]14[/C][C]347.4[/C][C]342.965472625557[/C][C]0.379012023382487[/C][C]4.43452737444339[/C][C]1.83263819796448[/C][/ROW]
[ROW][C]15[/C][C]338.3[/C][C]340.469015585803[/C][C]0.356887296458952[/C][C]-2.16901558580277[/C][C]-0.107635272395743[/C][/ROW]
[ROW][C]16[/C][C]327.7[/C][C]327.227278125238[/C][C]0.327181955037726[/C][C]0.472721874762107[/C][C]-0.511563789044118[/C][/ROW]
[ROW][C]17[/C][C]351.6[/C][C]352.007723883346[/C][C]0.377447255130508[/C][C]-0.407723883345728[/C][C]0.9196677598882[/C][/ROW]
[ROW][C]18[/C][C]396.6[/C][C]390.645102098502[/C][C]0.464642618464707[/C][C]5.95489790149776[/C][C]1.43887172529361[/C][/ROW]
[ROW][C]19[/C][C]438.8[/C][C]434.95530607745[/C][C]0.566195806126585[/C][C]3.84469392254984[/C][C]1.64893554230362[/C][/ROW]
[ROW][C]20[/C][C]395.6[/C][C]400.644505699201[/C][C]0.485738158637949[/C][C]-5.04450569920147[/C][C]-1.31164670295768[/C][/ROW]
[ROW][C]21[/C][C]363.5[/C][C]364.386511530268[/C][C]0.401243320369816[/C][C]-0.886511530267548[/C][C]-1.38184677146244[/C][/ROW]
[ROW][C]22[/C][C]378.8[/C][C]378.138358893504[/C][C]0.432566081018395[/C][C]0.661641106496241[/C][C]0.502108429645941[/C][/ROW]
[ROW][C]23[/C][C]357[/C][C]356.83455297695[/C][C]0.377587347438291[/C][C]0.16544702304971[/C][C]-0.817690266447621[/C][/ROW]
[ROW][C]24[/C][C]369[/C][C]369.985331560909[/C][C]0.384746367573487[/C][C]-0.985331560909166[/C][C]0.479963011744462[/C][/ROW]
[ROW][C]25[/C][C]464.8[/C][C]448.359782102865[/C][C]-0.952611107170525[/C][C]16.4402178971346[/C][C]3.16072755887902[/C][/ROW]
[ROW][C]26[/C][C]479.1[/C][C]473.976014820179[/C][C]-0.617455535088952[/C][C]5.12398517982118[/C][C]0.929711541026138[/C][/ROW]
[ROW][C]27[/C][C]431.3[/C][C]438.537263291325[/C][C]-0.866908056398829[/C][C]-7.23726329132483[/C][C]-1.29881299324509[/C][/ROW]
[ROW][C]28[/C][C]366.5[/C][C]375.533102786943[/C][C]-1.00552791824276[/C][C]-9.0331027869426[/C][C]-2.33722465655691[/C][/ROW]
[ROW][C]29[/C][C]326.3[/C][C]333.857846689265[/C][C]-1.066383287159[/C][C]-7.55784668926473[/C][C]-1.52925385263982[/C][/ROW]
[ROW][C]30[/C][C]355.1[/C][C]351.448844508518[/C][C]-1.03502990168687[/C][C]3.65115549148218[/C][C]0.701489228820092[/C][/ROW]
[ROW][C]31[/C][C]331.6[/C][C]329.787635939933[/C][C]-1.07166722425051[/C][C]1.8123640600669[/C][C]-0.775501364074007[/C][/ROW]
[ROW][C]32[/C][C]261.3[/C][C]271.108918949166[/C][C]-1.1744235245023[/C][C]-9.80891894916622[/C][C]-2.16590539741366[/C][/ROW]
[ROW][C]33[/C][C]249[/C][C]253.018497675771[/C][C]-1.20483220310683[/C][C]-4.01849767577088[/C][C]-0.636017003299866[/C][/ROW]
[ROW][C]34[/C][C]205.5[/C][C]208.403384406243[/C][C]-1.28805219859473[/C][C]-2.90338440624275[/C][C]-1.63238768937127[/C][/ROW]
[ROW][C]35[/C][C]235.6[/C][C]231.999772538107[/C][C]-1.24067804178706[/C][C]3.60022746189321[/C][C]0.935879152931365[/C][/ROW]
[ROW][C]36[/C][C]240.9[/C][C]247.823166255779[/C][C]-1.25510060519951[/C][C]-6.92316625577877[/C][C]0.641295741386453[/C][/ROW]
[ROW][C]37[/C][C]264.9[/C][C]250.284097820484[/C][C]-1.29051061456061[/C][C]14.615902179516[/C][C]0.145382946982042[/C][/ROW]
[ROW][C]38[/C][C]253.8[/C][C]245.692123336567[/C][C]-1.31726964778724[/C][C]8.10787666343303[/C][C]-0.119002213600224[/C][/ROW]
[ROW][C]39[/C][C]232.3[/C][C]234.817945248688[/C][C]-1.37958959139681[/C][C]-2.51794524868753[/C][C]-0.355772478318949[/C][/ROW]
[ROW][C]40[/C][C]193.8[/C][C]202.73398965515[/C][C]-1.45637101285456[/C][C]-8.93398965515026[/C][C]-1.15465544133388[/C][/ROW]
[ROW][C]41[/C][C]177[/C][C]188.624602298952[/C][C]-1.47351848902422[/C][C]-11.6246022989522[/C][C]-0.475763129355498[/C][/ROW]
[ROW][C]42[/C][C]213.2[/C][C]205.590093773085[/C][C]-1.44780599933543[/C][C]7.6099062269151[/C][C]0.693221143161009[/C][/ROW]
[ROW][C]43[/C][C]207.2[/C][C]200.916254522455[/C][C]-1.45270184190174[/C][C]6.28374547754533[/C][C]-0.121278642607948[/C][/ROW]
[ROW][C]44[/C][C]180.6[/C][C]190.481928935706[/C][C]-1.46672383207795[/C][C]-9.88192893570593[/C][C]-0.337652686755762[/C][/ROW]
[ROW][C]45[/C][C]188.6[/C][C]187.405599926681[/C][C]-1.46932769193819[/C][C]1.19440007331936[/C][C]-0.0605145835274915[/C][/ROW]
[ROW][C]46[/C][C]175.4[/C][C]181.478623112595[/C][C]-1.47708960647708[/C][C]-6.0786231125948[/C][C]-0.167622094603992[/C][/ROW]
[ROW][C]47[/C][C]199[/C][C]195.241497517955[/C][C]-1.45565689979554[/C][C]3.75850248204536[/C][C]0.572988137806708[/C][/ROW]
[ROW][C]48[/C][C]179.6[/C][C]188.219680779707[/C][C]-1.44789933366152[/C][C]-8.61968077970726[/C][C]-0.209318719590888[/C][/ROW]
[ROW][C]49[/C][C]225.8[/C][C]206.751333517532[/C][C]-1.56449601737826[/C][C]19.0486664824682[/C][C]0.76848762703954[/C][/ROW]
[ROW][C]50[/C][C]234[/C][C]223.065580606754[/C][C]-1.46393011603634[/C][C]10.9344193932461[/C][C]0.654219739057499[/C][/ROW]
[ROW][C]51[/C][C]200.2[/C][C]202.505629378843[/C][C]-1.5752420285696[/C][C]-2.30562937884331[/C][C]-0.710437435101487[/C][/ROW]
[ROW][C]52[/C][C]183.6[/C][C]191.981438357092[/C][C]-1.59960093301114[/C][C]-8.38143835709222[/C][C]-0.336396421379105[/C][/ROW]
[ROW][C]53[/C][C]178.2[/C][C]191.742035793182[/C][C]-1.59772695531059[/C][C]-13.5420357931817[/C][C]0.0511454674329914[/C][/ROW]
[ROW][C]54[/C][C]203.2[/C][C]194.723135870074[/C][C]-1.5920310205765[/C][C]8.47686412992587[/C][C]0.172138421528538[/C][/ROW]
[ROW][C]55[/C][C]208.5[/C][C]200.365893371415[/C][C]-1.58221727827831[/C][C]8.1341066285847[/C][C]0.271968796776699[/C][/ROW]
[ROW][C]56[/C][C]191.8[/C][C]201.385859883033[/C][C]-1.57846597785625[/C][C]-9.58585988303333[/C][C]0.0978210181111924[/C][/ROW]
[ROW][C]57[/C][C]172.8[/C][C]174.801385503025[/C][C]-1.61687907579335[/C][C]-2.0013855030251[/C][C]-0.94011818207454[/C][/ROW]
[ROW][C]58[/C][C]148[/C][C]157.444426450243[/C][C]-1.64202614145225[/C][C]-9.44442645024321[/C][C]-0.591867426850214[/C][/ROW]
[ROW][C]59[/C][C]159.4[/C][C]154.281024677452[/C][C]-1.64353955016627[/C][C]5.11897532254839[/C][C]-0.05718434529103[/C][/ROW]
[ROW][C]60[/C][C]154.5[/C][C]163.548671082677[/C][C]-1.66014566532345[/C][C]-9.04867108267693[/C][C]0.410530171528305[/C][/ROW]
[ROW][C]61[/C][C]213.2[/C][C]191.453647226868[/C][C]-1.77065708224[/C][C]21.7463527731316[/C][C]1.12670176747893[/C][/ROW]
[ROW][C]62[/C][C]196.4[/C][C]184.13384785248[/C][C]-1.79371329765566[/C][C]12.2661521475203[/C][C]-0.204759501229022[/C][/ROW]
[ROW][C]63[/C][C]182.8[/C][C]183.950128304675[/C][C]-1.78538970014308[/C][C]-1.15012830467451[/C][C]0.0599079372382813[/C][/ROW]
[ROW][C]64[/C][C]176.4[/C][C]184.777272933263[/C][C]-1.77795238124193[/C][C]-8.37727293326292[/C][C]0.098158498217201[/C][/ROW]
[ROW][C]65[/C][C]153.6[/C][C]169.995333661313[/C][C]-1.79693020877862[/C][C]-16.3953336613133[/C][C]-0.488973239178999[/C][/ROW]
[ROW][C]66[/C][C]173.2[/C][C]166.174348658389[/C][C]-1.79930520880372[/C][C]7.02565134161057[/C][C]-0.0760932744058476[/C][/ROW]
[ROW][C]67[/C][C]171[/C][C]163.703920548511[/C][C]-1.80014433729132[/C][C]7.29607945148886[/C][C]-0.0252282899401596[/C][/ROW]
[ROW][C]68[/C][C]151.2[/C][C]158.363313219096[/C][C]-1.8049783523128[/C][C]-7.16331321909565[/C][C]-0.133091170537747[/C][/ROW]
[ROW][C]69[/C][C]161.9[/C][C]161.084654800455[/C][C]-1.79829505457864[/C][C]0.815345199544675[/C][C]0.170172419764591[/C][/ROW]
[ROW][C]70[/C][C]157.2[/C][C]165.404042147141[/C][C]-1.7894361735729[/C][C]-8.2040421471406[/C][C]0.230027221234123[/C][/ROW]
[ROW][C]71[/C][C]201.7[/C][C]193.64076153313[/C][C]-1.76905073540438[/C][C]8.05923846686976[/C][C]1.12837708005752[/C][/ROW]
[ROW][C]72[/C][C]236.4[/C][C]242.357316357528[/C][C]-1.84218716255518[/C][C]-5.9573163575282[/C][C]1.89996872062642[/C][/ROW]
[ROW][C]73[/C][C]356.1[/C][C]321.962822594572[/C][C]-2.04124571259702[/C][C]34.1371774054281[/C][C]3.0871749406237[/C][/ROW]
[ROW][C]74[/C][C]398.3[/C][C]380.247061482248[/C][C]-1.8457739322112[/C][C]18.0529385177524[/C][C]2.23698639182873[/C][/ROW]
[ROW][C]75[/C][C]403.7[/C][C]404.093269659919[/C][C]-1.72805764323721[/C][C]-0.393269659918639[/C][C]0.956553297653652[/C][/ROW]
[ROW][C]76[/C][C]384.6[/C][C]394.192245057296[/C][C]-1.75164779243467[/C][C]-9.59224505729585[/C][C]-0.306924442566173[/C][/ROW]
[ROW][C]77[/C][C]365.8[/C][C]383.64743087803[/C][C]-1.7652989272544[/C][C]-17.8474308780302[/C][C]-0.330630189545905[/C][/ROW]
[ROW][C]78[/C][C]368.1[/C][C]363.499426790646[/C][C]-1.78649870763394[/C][C]4.60057320935429[/C][C]-0.691096792250607[/C][/ROW]
[ROW][C]79[/C][C]367.9[/C][C]359.562989573822[/C][C]-1.7890423886293[/C][C]8.33701042617826[/C][C]-0.0808190585594544[/C][/ROW]
[ROW][C]80[/C][C]347[/C][C]354.186281296983[/C][C]-1.79373729535243[/C][C]-7.18628129698305[/C][C]-0.134867054357131[/C][/ROW]
[ROW][C]81[/C][C]343.3[/C][C]343.178264442168[/C][C]-1.80676276256205[/C][C]0.1217355578317[/C][C]-0.346425836382056[/C][/ROW]
[ROW][C]82[/C][C]292.9[/C][C]308.174409905557[/C][C]-1.84979303894569[/C][C]-15.2744099055567[/C][C]-1.24811184619951[/C][/ROW]
[ROW][C]83[/C][C]311.5[/C][C]307.705355012032[/C][C]-1.84916979451824[/C][C]3.79464498796783[/C][C]0.051881815665856[/C][/ROW]
[ROW][C]84[/C][C]300.9[/C][C]315.245207649637[/C][C]-1.8612639467077[/C][C]-14.3452076496372[/C][C]0.35335393291527[/C][/ROW]
[ROW][C]85[/C][C]366.9[/C][C]337.609473280529[/C][C]-1.900080853347[/C][C]29.2905267194715[/C][C]0.915205323162074[/C][/ROW]
[ROW][C]86[/C][C]356.9[/C][C]342.01444749463[/C][C]-1.88338332594053[/C][C]14.8855525053701[/C][C]0.234522439617019[/C][/ROW]
[ROW][C]87[/C][C]329.7[/C][C]331.051109104116[/C][C]-1.92038162825464[/C][C]-1.35110910411592[/C][C]-0.338309090180236[/C][/ROW]
[ROW][C]88[/C][C]316.2[/C][C]325.503761752541[/C][C]-1.93076967531457[/C][C]-9.30376175254145[/C][C]-0.136146005445651[/C][/ROW]
[ROW][C]89[/C][C]269[/C][C]289.897988238813[/C][C]-1.98587549698718[/C][C]-20.8979882388133[/C][C]-1.26612605691273[/C][/ROW]
[ROW][C]90[/C][C]289.3[/C][C]284.622530832517[/C][C]-1.9897040217129[/C][C]4.67746916748271[/C][C]-0.12367364430659[/C][/ROW]
[ROW][C]91[/C][C]266.2[/C][C]260.825155134065[/C][C]-2.01465127045557[/C][C]5.37484486593492[/C][C]-0.819794525928847[/C][/ROW]
[ROW][C]92[/C][C]253.6[/C][C]259.007992389454[/C][C]-2.01440222402308[/C][C]-5.40799238945414[/C][C]0.00742412733846554[/C][/ROW]
[ROW][C]93[/C][C]233.8[/C][C]232.74850371286[/C][C]-2.04695796123112[/C][C]1.05149628713982[/C][C]-0.911534056284188[/C][/ROW]
[ROW][C]94[/C][C]228.4[/C][C]241.458219853056[/C][C]-2.03457831649602[/C][C]-13.0582198530556[/C][C]0.404377419767221[/C][/ROW]
[ROW][C]95[/C][C]253.6[/C][C]249.498750452866[/C][C]-2.03160172875014[/C][C]4.10124954713387[/C][C]0.378554512134653[/C][/ROW]
[ROW][C]96[/C][C]260.1[/C][C]273.67771583308[/C][C]-2.06040113380946[/C][C]-13.57771583308[/C][C]0.986316516776123[/C][/ROW]
[ROW][C]97[/C][C]306.6[/C][C]277.599488427056[/C][C]-2.06657678634736[/C][C]29.0005115729439[/C][C]0.225522500113115[/C][/ROW]
[ROW][C]98[/C][C]309.2[/C][C]291.290720004724[/C][C]-2.03110641772116[/C][C]17.9092799952763[/C][C]0.587299970662815[/C][/ROW]
[ROW][C]99[/C][C]309.5[/C][C]308.27352349758[/C][C]-1.96179904329962[/C][C]1.22647650242031[/C][C]0.708971826909975[/C][/ROW]
[ROW][C]100[/C][C]271[/C][C]280.763372675471[/C][C]-2.03337485435866[/C][C]-9.76337267547105[/C][C]-0.958668298741562[/C][/ROW]
[ROW][C]101[/C][C]279.9[/C][C]297.412273662904[/C][C]-2.001546887085[/C][C]-17.512273662904[/C][C]0.70235667542396[/C][/ROW]
[ROW][C]102[/C][C]317.9[/C][C]308.755261491531[/C][C]-1.9856489468385[/C][C]9.14473850846849[/C][C]0.501702270033072[/C][/ROW]
[ROW][C]103[/C][C]298.4[/C][C]294.937184155733[/C][C]-1.99894854781884[/C][C]3.46281584426708[/C][C]-0.444816503816065[/C][/ROW]
[ROW][C]104[/C][C]246.7[/C][C]254.435782600903[/C][C]-2.04585833959804[/C][C]-7.73578260090311[/C][C]-1.44744849988057[/C][/ROW]
[ROW][C]105[/C][C]227.3[/C][C]229.938047964283[/C][C]-2.07429386159314[/C][C]-2.63804796428298[/C][C]-0.844105406239112[/C][/ROW]
[ROW][C]106[/C][C]209.1[/C][C]223.194361511141[/C][C]-2.07904842165478[/C][C]-14.0943615111413[/C][C]-0.175519482986977[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=109334&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=109334&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
1235.1235.1000
2280.7277.8786495365732.330226086782832.821350463427140.970748348648947
3264.6263.7432012746972.180849669229260.85679872530267-0.619229234750829
4240.7239.8433781505052.08156342882720.856621849495357-0.981939970825554
5201.4201.3762891672571.909251153853910.0237108327428216-1.52650067638383
6240.8235.9744973263262.051922029517724.825502673673661.23060003543256
7241.1239.6119008093752.058813813329221.488099190625340.0596862597994536
8223.8222.9690366730381.977918601451710.83096332696227-0.704028345304963
9206.1205.0153352901251.892078656004551.08466470987538-0.750323320077933
10174.7174.4744962189741.752997078053280.225503781025959-1.22092274127319
11203.3199.4064874856461.851970917035773.893512514354430.872555580311552
12220.5218.0476602853451.923355658002832.452339714654740.632011451096794
13299.5287.629602259823-0.86760248960761611.87039774017723.03148776271513
14347.4342.9654726255570.3790120233824874.434527374443391.83263819796448
15338.3340.4690155858030.356887296458952-2.16901558580277-0.107635272395743
16327.7327.2272781252380.3271819550377260.472721874762107-0.511563789044118
17351.6352.0077238833460.377447255130508-0.4077238833457280.9196677598882
18396.6390.6451020985020.4646426184647075.954897901497761.43887172529361
19438.8434.955306077450.5661958061265853.844693922549841.64893554230362
20395.6400.6445056992010.485738158637949-5.04450569920147-1.31164670295768
21363.5364.3865115302680.401243320369816-0.886511530267548-1.38184677146244
22378.8378.1383588935040.4325660810183950.6616411064962410.502108429645941
23357356.834552976950.3775873474382910.16544702304971-0.817690266447621
24369369.9853315609090.384746367573487-0.9853315609091660.479963011744462
25464.8448.359782102865-0.95261110717052516.44021789713463.16072755887902
26479.1473.976014820179-0.6174555350889525.123985179821180.929711541026138
27431.3438.537263291325-0.866908056398829-7.23726329132483-1.29881299324509
28366.5375.533102786943-1.00552791824276-9.0331027869426-2.33722465655691
29326.3333.857846689265-1.066383287159-7.55784668926473-1.52925385263982
30355.1351.448844508518-1.035029901686873.651155491482180.701489228820092
31331.6329.787635939933-1.071667224250511.8123640600669-0.775501364074007
32261.3271.108918949166-1.1744235245023-9.80891894916622-2.16590539741366
33249253.018497675771-1.20483220310683-4.01849767577088-0.636017003299866
34205.5208.403384406243-1.28805219859473-2.90338440624275-1.63238768937127
35235.6231.999772538107-1.240678041787063.600227461893210.935879152931365
36240.9247.823166255779-1.25510060519951-6.923166255778770.641295741386453
37264.9250.284097820484-1.2905106145606114.6159021795160.145382946982042
38253.8245.692123336567-1.317269647787248.10787666343303-0.119002213600224
39232.3234.817945248688-1.37958959139681-2.51794524868753-0.355772478318949
40193.8202.73398965515-1.45637101285456-8.93398965515026-1.15465544133388
41177188.624602298952-1.47351848902422-11.6246022989522-0.475763129355498
42213.2205.590093773085-1.447805999335437.60990622691510.693221143161009
43207.2200.916254522455-1.452701841901746.28374547754533-0.121278642607948
44180.6190.481928935706-1.46672383207795-9.88192893570593-0.337652686755762
45188.6187.405599926681-1.469327691938191.19440007331936-0.0605145835274915
46175.4181.478623112595-1.47708960647708-6.0786231125948-0.167622094603992
47199195.241497517955-1.455656899795543.758502482045360.572988137806708
48179.6188.219680779707-1.44789933366152-8.61968077970726-0.209318719590888
49225.8206.751333517532-1.5644960173782619.04866648246820.76848762703954
50234223.065580606754-1.4639301160363410.93441939324610.654219739057499
51200.2202.505629378843-1.5752420285696-2.30562937884331-0.710437435101487
52183.6191.981438357092-1.59960093301114-8.38143835709222-0.336396421379105
53178.2191.742035793182-1.59772695531059-13.54203579318170.0511454674329914
54203.2194.723135870074-1.59203102057658.476864129925870.172138421528538
55208.5200.365893371415-1.582217278278318.13410662858470.271968796776699
56191.8201.385859883033-1.57846597785625-9.585859883033330.0978210181111924
57172.8174.801385503025-1.61687907579335-2.0013855030251-0.94011818207454
58148157.444426450243-1.64202614145225-9.44442645024321-0.591867426850214
59159.4154.281024677452-1.643539550166275.11897532254839-0.05718434529103
60154.5163.548671082677-1.66014566532345-9.048671082676930.410530171528305
61213.2191.453647226868-1.7706570822421.74635277313161.12670176747893
62196.4184.13384785248-1.7937132976556612.2661521475203-0.204759501229022
63182.8183.950128304675-1.78538970014308-1.150128304674510.0599079372382813
64176.4184.777272933263-1.77795238124193-8.377272933262920.098158498217201
65153.6169.995333661313-1.79693020877862-16.3953336613133-0.488973239178999
66173.2166.174348658389-1.799305208803727.02565134161057-0.0760932744058476
67171163.703920548511-1.800144337291327.29607945148886-0.0252282899401596
68151.2158.363313219096-1.8049783523128-7.16331321909565-0.133091170537747
69161.9161.084654800455-1.798295054578640.8153451995446750.170172419764591
70157.2165.404042147141-1.7894361735729-8.20404214714060.230027221234123
71201.7193.64076153313-1.769050735404388.059238466869761.12837708005752
72236.4242.357316357528-1.84218716255518-5.95731635752821.89996872062642
73356.1321.962822594572-2.0412457125970234.13717740542813.0871749406237
74398.3380.247061482248-1.845773932211218.05293851775242.23698639182873
75403.7404.093269659919-1.72805764323721-0.3932696599186390.956553297653652
76384.6394.192245057296-1.75164779243467-9.59224505729585-0.306924442566173
77365.8383.64743087803-1.7652989272544-17.8474308780302-0.330630189545905
78368.1363.499426790646-1.786498707633944.60057320935429-0.691096792250607
79367.9359.562989573822-1.78904238862938.33701042617826-0.0808190585594544
80347354.186281296983-1.79373729535243-7.18628129698305-0.134867054357131
81343.3343.178264442168-1.806762762562050.1217355578317-0.346425836382056
82292.9308.174409905557-1.84979303894569-15.2744099055567-1.24811184619951
83311.5307.705355012032-1.849169794518243.794644987967830.051881815665856
84300.9315.245207649637-1.8612639467077-14.34520764963720.35335393291527
85366.9337.609473280529-1.90008085334729.29052671947150.915205323162074
86356.9342.01444749463-1.8833833259405314.88555250537010.234522439617019
87329.7331.051109104116-1.92038162825464-1.35110910411592-0.338309090180236
88316.2325.503761752541-1.93076967531457-9.30376175254145-0.136146005445651
89269289.897988238813-1.98587549698718-20.8979882388133-1.26612605691273
90289.3284.622530832517-1.98970402171294.67746916748271-0.12367364430659
91266.2260.825155134065-2.014651270455575.37484486593492-0.819794525928847
92253.6259.007992389454-2.01440222402308-5.407992389454140.00742412733846554
93233.8232.74850371286-2.046957961231121.05149628713982-0.911534056284188
94228.4241.458219853056-2.03457831649602-13.05821985305560.404377419767221
95253.6249.498750452866-2.031601728750144.101249547133870.378554512134653
96260.1273.67771583308-2.06040113380946-13.577715833080.986316516776123
97306.6277.599488427056-2.0665767863473629.00051157294390.225522500113115
98309.2291.290720004724-2.0311064177211617.90927999527630.587299970662815
99309.5308.27352349758-1.961799043299621.226476502420310.708971826909975
100271280.763372675471-2.03337485435866-9.76337267547105-0.958668298741562
101279.9297.412273662904-2.001546887085-17.5122736629040.70235667542396
102317.9308.755261491531-1.98564894683859.144738508468490.501702270033072
103298.4294.937184155733-1.998948547818843.46281584426708-0.444816503816065
104246.7254.435782600903-2.04585833959804-7.73578260090311-1.44744849988057
105227.3229.938047964283-2.07429386159314-2.63804796428298-0.844105406239112
106209.1223.194361511141-2.07904842165478-14.0943615111413-0.175519482986977



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')