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R Software Module

rwasp_structuraltimeseries.wasp

Title produced by software

Structural Time Series Models

Date of computation

Fri, 04 Dec 2009 07:23:59 -0700

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Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/Dec/04/t1259936717hpkxtpzjimk4ulh.htm/, Retrieved Sun, 28 Apr 2024 13:28:32 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=63600, Retrieved Sun, 28 Apr 2024 13:28:32 +0000

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Estimated Impact

104

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] [] [2009-11-27 15:02:30] [b98453cac15ba1066b407e146608df68]
-    D      [Structural Time Series Models] [WS 9 Structural T...] [2009-12-04 14:23:59] [eba9f01697e64705b70041e6f338cb22] [Current]
-    D        [Structural Time Series Models] [WS 9 Review 3 Str...] [2009-12-10 18:55:45] [83058a88a37d754675a5cd22dab372fc] 

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Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	4 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 4 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63600&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]4 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=63600&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63600&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 Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	4 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

Structural Time Series Model
t	Observed	Level	Slope	Seasonal	Stand. Residuals
1	98.8	98.8	0	0	0
2	100.5	99.0098361764009	-0.0391919649449301	1.49016382359911	0.388717178313888
3	110.4	103.557938672195	0.289117512396445	6.8420613278053	2.37894910697432
4	96.4	102.916616104524	0.204866863319226	-6.51661610452434	-0.453472455807471
5	101.9	102.467031750271	0.148646019839951	-0.567031750271342	-0.389935500093396
6	106.2	103.314154106381	0.199016738617089	2.88584589361902	0.485265288551031
7	81	98.1421630341768	-0.107051973677707	-17.1421630341768	-4.03755497919976
8	94.7	95.2415616478735	-0.232145392064929	-0.541561647873479	-2.17500001561392
9	101	95.4144494351909	-0.217351445974806	5.58555056480914	0.320074983827219
10	109.4	98.829318846847	-0.102465549659385	10.5706811531531	2.88736399319624
11	102.3	101.082184715780	-0.0340545801841086	1.21781528422044	1.87555612160628
12	90.7	99.5211029931645	-0.0765164808777496	-8.82110299316446	-1.21573693447957
13	96.2	98.4278335880762	-0.0786365050015628	-2.22783358807624	-0.837114293790518
14	96.1	97.6344558667332	-0.0779097749925256	-1.53445586673316	-0.597327158208534
15	106	97.2148151878089	-0.0817089763567255	8.78518481219112	-0.271968943399785
16	103.1	99.6618169891172	-0.0188244895863435	3.43818301088279	1.88477326938139
17	102	100.698616455163	0.0166870899182674	1.30138354483683	0.764909178644743
18	104.7	100.138930896851	-0.00458268671612825	4.56106910314886	-0.422243923205732
19	86	100.426142359364	0.00592639577782337	-14.4261423593644	0.219563317532909
20	92.1	99.2041441317476	-0.0341627032902864	-7.10414413174765	-0.947080104535874
21	106.9	99.9994108213925	-0.0107872688890624	6.90058917860749	0.650523709474136
22	112.6	100.924674703424	0.0111798728709737	11.6753252965756	0.741231190687254
23	101.7	100.742016487239	0.00751345736828228	0.957983512761186	-0.154306910210952
24	92	100.477357537409	0.00347865014955188	-8.4773575374093	-0.217427882668088
25	97.4	100.199303446008	0.000152177320648185	-2.79930344600771	-0.225435315804073
26	97	99.9893586502527	-0.00221301989496133	-2.98935865025267	-0.167732327906410
27	105.4	99.651326768601	-0.00668046894272565	5.74867323139898	-0.265059650259245
28	102.7	99.5463226882764	-0.00833114375838917	3.15367731172359	-0.0764024285973884
29	98.1	98.7266147144523	-0.024716530736683	-0.626614714452342	-0.6233580183334
30	104.5	98.7024140438546	-0.0247049416873436	5.79758595614544	0.000395471388422841
31	87.4	99.3706841150724	-0.00862983931384387	-11.9706841150723	0.534309673127569
32	89.9	99.283120171661	-0.0104047850297574	-9.38312017166093	-0.0614178309585382
33	109.8	100.212333996473	0.00906179768284433	9.58766600352698	0.737438521284237
34	111.7	100.410859326785	0.0125454074693188	11.2891406732150	0.149661901763741
35	98.6	99.7158992477079	0.00123238558733513	-1.11589924770786	-0.561278537023017
36	96.9	100.671893513954	0.0145715389641173	-3.77189351395415	0.759306942950503
37	95.1	100.277128388259	0.00937848982912856	-5.17712838825894	-0.325724349963536
38	97	99.9465804259737	0.00518462919910609	-2.94658042597369	-0.270001948785785
39	112.7	101.397265781672	0.0237964810241387	11.3027342183279	1.14338861161793
40	102.9	101.469161565781	0.0244698132418411	1.43083843421895	0.0378481793485489
41	97.4	100.783988791014	0.0136337196838558	-3.38398879101382	-0.556052023203621
42	111.4	101.856806009154	0.0308758078933629	9.54319399084579	0.828606522996382
43	87.4	101.769756044686	0.0288996685262079	-14.3697560446857	-0.0923682580025581
44	96.8	102.950634583458	0.048045614227143	-6.15063458345759	0.90515765807726
45	114.1	103.762502462743	0.0602233629901246	10.3374975372574	0.602428981689017
46	110.3	102.912604112212	0.0466477584092689	7.3873958877875	-0.720272168885567
47	103.9	103.246960282092	0.0506124271222886	0.65303971790838	0.228286603326934
48	101.6	103.872953200617	0.0579596860053997	-2.2729532006167	0.457284546526323
49	94.6	103.2698439776	0.0499844650346042	-8.66984397760002	-0.525669500923169
50	95.9	102.287356603882	0.0378471829486033	-6.38735660388211	-0.820531912534926
51	104.7	99.8783734079314	0.0089006847313382	4.82162659206855	-1.94164489347105
52	102.8	99.4090151217027	0.00307500483439561	3.39098487829731	-0.378787462775978
53	98.1	100.038101379486	0.0109906154563009	-1.9381013794865	0.494996185223788
54	113.9	101.454173949532	0.0293281300903765	12.4458260504676	1.11014924342745
55	80.9	100.773068316939	0.0199016027302481	-19.8730683169387	-0.561470987021063
56	95.7	100.817171353148	0.0202218476453798	-5.11717135314811	0.0191492475154115
57	113.2	101.173950995573	0.0245797155182187	12.0260490044272	0.266736234786609
58	105.9	100.683320882683	0.0181488837195439	5.2166791173168	-0.409016963290624
59	108.8	102.121932281781	0.0351014118717504	6.67806771821907	1.12930723947157
60	102.3	102.829289190337	0.0427747121393249	-0.529289190336752	0.534999421844736
61	99	103.756183193088	0.0525091831587319	-4.75618319308842	0.703946053253157
62	100.7	104.466051032359	0.059591557389357	-3.76605103235891	0.523373688636769
63	115.5	106.246493475362	0.0780223816736628	9.2535065246378	1.369460830772
64	100.7	105.049882692110	0.0642789463183618	-4.3498826921101	-1.01367015760388
65	109.9	106.388711889583	0.0782030914301732	3.51128811041656	1.01297767969026
66	114.6	105.828033352111	0.0711344405141959	8.77196664788895	-0.507603384435839
67	85.4	105.58935604499	0.0676839168247103	-20.1893560449899	-0.246175581026117
68	100.5	105.683769024753	0.0679807938960927	-5.18376902475264	0.0212493259229752
69	114.8	105.244076340435	0.0624140869473795	9.55592365956484	-0.403900964636287
70	116.5	106.966901115996	0.08023597268656	9.53309888400403	1.32213392324065
71	112.9	107.774670324942	0.0878406200810959	5.12532967505839	0.579769434185688
72	102	107.182998145959	0.080929299987709	-5.18299814595898	-0.541834657596631
73	106	108.082999950545	0.0890638668738728	-2.08299995054509	0.653363831570579
74	105.3	108.892783705605	0.096099529042043	-3.59278370560491	0.574983331025758
75	118.8	109.236252956376	0.0984917682877512	9.56374704362398	0.197334193980319
76	106.1	109.807591688791	0.103052877421846	-3.70759168879077	0.377132033601843
77	109.3	108.972746541674	0.0939907637044517	0.327253458326185	-0.747902412160804
78	117.2	108.553794248145	0.0890219911352814	8.64620575185526	-0.408996736360124
79	92.5	109.494963525861	0.097279416064863	-16.9949635258609	0.679515249683659
80	104.2	110.010801913117	0.101319218354531	-5.81080191311746	0.333849764300692
81	112.5	108.962124807663	0.0903205405309879	3.5378751923371	-0.917612323072251
82	122.4	109.660001921748	0.0960517884015915	12.7399980782524	0.485005688976279
83	113.3	109.650511643925	0.0950728527480774	3.64948835607482	-0.0842908545868984
84	100	108.888217294143	0.0872611125754726	-8.88821729414274	-0.684995664189131
85	110.7	109.710018127783	0.0938437929149724	0.989981872217309	0.587025782419494
86	112.8	111.648262460642	0.110150253502444	1.15173753935811	1.47423888983122
87	109.8	109.698685786573	0.0921156500481193	0.10131421342673	-1.64645292240216
88	117.3	111.470844030213	0.106737286436953	5.82915596978738	1.34294879762472
89	109.1	111.545343882623	0.106457692833247	-2.44534388262266	-0.0257687263146201
90	115.9	110.738494474843	0.0985564180282694	5.1615055251569	-0.73005761651245
91	96	110.977032369369	0.0997636310885871	-14.9770323693694	0.111904473912141
92	99.8	109.710545515005	0.0880402166762467	-9.91054551500455	-1.09238868789963
93	116.8	110.203282249717	0.091486633574169	6.59671775028267	0.323649442445218
94	115.7	108.723423210693	0.0782384954601769	6.97657678930742	-1.25699249627229
95	99.4	105.210053304681	0.0483135624866218	-5.81005330468101	-2.87387823368404
96	94.3	103.766406806112	0.0360382604140943	-9.46640680611158	-1.19411146143459

\begin{tabular}{lllllllll}
\hline
Structural Time Series Model \tabularnewline
t & Observed & Level & Slope & Seasonal & Stand. Residuals \tabularnewline
1 & 98.8 & 98.8 & 0 & 0 & 0 \tabularnewline
2 & 100.5 & 99.0098361764009 & -0.0391919649449301 & 1.49016382359911 & 0.388717178313888 \tabularnewline
3 & 110.4 & 103.557938672195 & 0.289117512396445 & 6.8420613278053 & 2.37894910697432 \tabularnewline
4 & 96.4 & 102.916616104524 & 0.204866863319226 & -6.51661610452434 & -0.453472455807471 \tabularnewline
5 & 101.9 & 102.467031750271 & 0.148646019839951 & -0.567031750271342 & -0.389935500093396 \tabularnewline
6 & 106.2 & 103.314154106381 & 0.199016738617089 & 2.88584589361902 & 0.485265288551031 \tabularnewline
7 & 81 & 98.1421630341768 & -0.107051973677707 & -17.1421630341768 & -4.03755497919976 \tabularnewline
8 & 94.7 & 95.2415616478735 & -0.232145392064929 & -0.541561647873479 & -2.17500001561392 \tabularnewline
9 & 101 & 95.4144494351909 & -0.217351445974806 & 5.58555056480914 & 0.320074983827219 \tabularnewline
10 & 109.4 & 98.829318846847 & -0.102465549659385 & 10.5706811531531 & 2.88736399319624 \tabularnewline
11 & 102.3 & 101.082184715780 & -0.0340545801841086 & 1.21781528422044 & 1.87555612160628 \tabularnewline
12 & 90.7 & 99.5211029931645 & -0.0765164808777496 & -8.82110299316446 & -1.21573693447957 \tabularnewline
13 & 96.2 & 98.4278335880762 & -0.0786365050015628 & -2.22783358807624 & -0.837114293790518 \tabularnewline
14 & 96.1 & 97.6344558667332 & -0.0779097749925256 & -1.53445586673316 & -0.597327158208534 \tabularnewline
15 & 106 & 97.2148151878089 & -0.0817089763567255 & 8.78518481219112 & -0.271968943399785 \tabularnewline
16 & 103.1 & 99.6618169891172 & -0.0188244895863435 & 3.43818301088279 & 1.88477326938139 \tabularnewline
17 & 102 & 100.698616455163 & 0.0166870899182674 & 1.30138354483683 & 0.764909178644743 \tabularnewline
18 & 104.7 & 100.138930896851 & -0.00458268671612825 & 4.56106910314886 & -0.422243923205732 \tabularnewline
19 & 86 & 100.426142359364 & 0.00592639577782337 & -14.4261423593644 & 0.219563317532909 \tabularnewline
20 & 92.1 & 99.2041441317476 & -0.0341627032902864 & -7.10414413174765 & -0.947080104535874 \tabularnewline
21 & 106.9 & 99.9994108213925 & -0.0107872688890624 & 6.90058917860749 & 0.650523709474136 \tabularnewline
22 & 112.6 & 100.924674703424 & 0.0111798728709737 & 11.6753252965756 & 0.741231190687254 \tabularnewline
23 & 101.7 & 100.742016487239 & 0.00751345736828228 & 0.957983512761186 & -0.154306910210952 \tabularnewline
24 & 92 & 100.477357537409 & 0.00347865014955188 & -8.4773575374093 & -0.217427882668088 \tabularnewline
25 & 97.4 & 100.199303446008 & 0.000152177320648185 & -2.79930344600771 & -0.225435315804073 \tabularnewline
26 & 97 & 99.9893586502527 & -0.00221301989496133 & -2.98935865025267 & -0.167732327906410 \tabularnewline
27 & 105.4 & 99.651326768601 & -0.00668046894272565 & 5.74867323139898 & -0.265059650259245 \tabularnewline
28 & 102.7 & 99.5463226882764 & -0.00833114375838917 & 3.15367731172359 & -0.0764024285973884 \tabularnewline
29 & 98.1 & 98.7266147144523 & -0.024716530736683 & -0.626614714452342 & -0.6233580183334 \tabularnewline
30 & 104.5 & 98.7024140438546 & -0.0247049416873436 & 5.79758595614544 & 0.000395471388422841 \tabularnewline
31 & 87.4 & 99.3706841150724 & -0.00862983931384387 & -11.9706841150723 & 0.534309673127569 \tabularnewline
32 & 89.9 & 99.283120171661 & -0.0104047850297574 & -9.38312017166093 & -0.0614178309585382 \tabularnewline
33 & 109.8 & 100.212333996473 & 0.00906179768284433 & 9.58766600352698 & 0.737438521284237 \tabularnewline
34 & 111.7 & 100.410859326785 & 0.0125454074693188 & 11.2891406732150 & 0.149661901763741 \tabularnewline
35 & 98.6 & 99.7158992477079 & 0.00123238558733513 & -1.11589924770786 & -0.561278537023017 \tabularnewline
36 & 96.9 & 100.671893513954 & 0.0145715389641173 & -3.77189351395415 & 0.759306942950503 \tabularnewline
37 & 95.1 & 100.277128388259 & 0.00937848982912856 & -5.17712838825894 & -0.325724349963536 \tabularnewline
38 & 97 & 99.9465804259737 & 0.00518462919910609 & -2.94658042597369 & -0.270001948785785 \tabularnewline
39 & 112.7 & 101.397265781672 & 0.0237964810241387 & 11.3027342183279 & 1.14338861161793 \tabularnewline
40 & 102.9 & 101.469161565781 & 0.0244698132418411 & 1.43083843421895 & 0.0378481793485489 \tabularnewline
41 & 97.4 & 100.783988791014 & 0.0136337196838558 & -3.38398879101382 & -0.556052023203621 \tabularnewline
42 & 111.4 & 101.856806009154 & 0.0308758078933629 & 9.54319399084579 & 0.828606522996382 \tabularnewline
43 & 87.4 & 101.769756044686 & 0.0288996685262079 & -14.3697560446857 & -0.0923682580025581 \tabularnewline
44 & 96.8 & 102.950634583458 & 0.048045614227143 & -6.15063458345759 & 0.90515765807726 \tabularnewline
45 & 114.1 & 103.762502462743 & 0.0602233629901246 & 10.3374975372574 & 0.602428981689017 \tabularnewline
46 & 110.3 & 102.912604112212 & 0.0466477584092689 & 7.3873958877875 & -0.720272168885567 \tabularnewline
47 & 103.9 & 103.246960282092 & 0.0506124271222886 & 0.65303971790838 & 0.228286603326934 \tabularnewline
48 & 101.6 & 103.872953200617 & 0.0579596860053997 & -2.2729532006167 & 0.457284546526323 \tabularnewline
49 & 94.6 & 103.2698439776 & 0.0499844650346042 & -8.66984397760002 & -0.525669500923169 \tabularnewline
50 & 95.9 & 102.287356603882 & 0.0378471829486033 & -6.38735660388211 & -0.820531912534926 \tabularnewline
51 & 104.7 & 99.8783734079314 & 0.0089006847313382 & 4.82162659206855 & -1.94164489347105 \tabularnewline
52 & 102.8 & 99.4090151217027 & 0.00307500483439561 & 3.39098487829731 & -0.378787462775978 \tabularnewline
53 & 98.1 & 100.038101379486 & 0.0109906154563009 & -1.9381013794865 & 0.494996185223788 \tabularnewline
54 & 113.9 & 101.454173949532 & 0.0293281300903765 & 12.4458260504676 & 1.11014924342745 \tabularnewline
55 & 80.9 & 100.773068316939 & 0.0199016027302481 & -19.8730683169387 & -0.561470987021063 \tabularnewline
56 & 95.7 & 100.817171353148 & 0.0202218476453798 & -5.11717135314811 & 0.0191492475154115 \tabularnewline
57 & 113.2 & 101.173950995573 & 0.0245797155182187 & 12.0260490044272 & 0.266736234786609 \tabularnewline
58 & 105.9 & 100.683320882683 & 0.0181488837195439 & 5.2166791173168 & -0.409016963290624 \tabularnewline
59 & 108.8 & 102.121932281781 & 0.0351014118717504 & 6.67806771821907 & 1.12930723947157 \tabularnewline
60 & 102.3 & 102.829289190337 & 0.0427747121393249 & -0.529289190336752 & 0.534999421844736 \tabularnewline
61 & 99 & 103.756183193088 & 0.0525091831587319 & -4.75618319308842 & 0.703946053253157 \tabularnewline
62 & 100.7 & 104.466051032359 & 0.059591557389357 & -3.76605103235891 & 0.523373688636769 \tabularnewline
63 & 115.5 & 106.246493475362 & 0.0780223816736628 & 9.2535065246378 & 1.369460830772 \tabularnewline
64 & 100.7 & 105.049882692110 & 0.0642789463183618 & -4.3498826921101 & -1.01367015760388 \tabularnewline
65 & 109.9 & 106.388711889583 & 0.0782030914301732 & 3.51128811041656 & 1.01297767969026 \tabularnewline
66 & 114.6 & 105.828033352111 & 0.0711344405141959 & 8.77196664788895 & -0.507603384435839 \tabularnewline
67 & 85.4 & 105.58935604499 & 0.0676839168247103 & -20.1893560449899 & -0.246175581026117 \tabularnewline
68 & 100.5 & 105.683769024753 & 0.0679807938960927 & -5.18376902475264 & 0.0212493259229752 \tabularnewline
69 & 114.8 & 105.244076340435 & 0.0624140869473795 & 9.55592365956484 & -0.403900964636287 \tabularnewline
70 & 116.5 & 106.966901115996 & 0.08023597268656 & 9.53309888400403 & 1.32213392324065 \tabularnewline
71 & 112.9 & 107.774670324942 & 0.0878406200810959 & 5.12532967505839 & 0.579769434185688 \tabularnewline
72 & 102 & 107.182998145959 & 0.080929299987709 & -5.18299814595898 & -0.541834657596631 \tabularnewline
73 & 106 & 108.082999950545 & 0.0890638668738728 & -2.08299995054509 & 0.653363831570579 \tabularnewline
74 & 105.3 & 108.892783705605 & 0.096099529042043 & -3.59278370560491 & 0.574983331025758 \tabularnewline
75 & 118.8 & 109.236252956376 & 0.0984917682877512 & 9.56374704362398 & 0.197334193980319 \tabularnewline
76 & 106.1 & 109.807591688791 & 0.103052877421846 & -3.70759168879077 & 0.377132033601843 \tabularnewline
77 & 109.3 & 108.972746541674 & 0.0939907637044517 & 0.327253458326185 & -0.747902412160804 \tabularnewline
78 & 117.2 & 108.553794248145 & 0.0890219911352814 & 8.64620575185526 & -0.408996736360124 \tabularnewline
79 & 92.5 & 109.494963525861 & 0.097279416064863 & -16.9949635258609 & 0.679515249683659 \tabularnewline
80 & 104.2 & 110.010801913117 & 0.101319218354531 & -5.81080191311746 & 0.333849764300692 \tabularnewline
81 & 112.5 & 108.962124807663 & 0.0903205405309879 & 3.5378751923371 & -0.917612323072251 \tabularnewline
82 & 122.4 & 109.660001921748 & 0.0960517884015915 & 12.7399980782524 & 0.485005688976279 \tabularnewline
83 & 113.3 & 109.650511643925 & 0.0950728527480774 & 3.64948835607482 & -0.0842908545868984 \tabularnewline
84 & 100 & 108.888217294143 & 0.0872611125754726 & -8.88821729414274 & -0.684995664189131 \tabularnewline
85 & 110.7 & 109.710018127783 & 0.0938437929149724 & 0.989981872217309 & 0.587025782419494 \tabularnewline
86 & 112.8 & 111.648262460642 & 0.110150253502444 & 1.15173753935811 & 1.47423888983122 \tabularnewline
87 & 109.8 & 109.698685786573 & 0.0921156500481193 & 0.10131421342673 & -1.64645292240216 \tabularnewline
88 & 117.3 & 111.470844030213 & 0.106737286436953 & 5.82915596978738 & 1.34294879762472 \tabularnewline
89 & 109.1 & 111.545343882623 & 0.106457692833247 & -2.44534388262266 & -0.0257687263146201 \tabularnewline
90 & 115.9 & 110.738494474843 & 0.0985564180282694 & 5.1615055251569 & -0.73005761651245 \tabularnewline
91 & 96 & 110.977032369369 & 0.0997636310885871 & -14.9770323693694 & 0.111904473912141 \tabularnewline
92 & 99.8 & 109.710545515005 & 0.0880402166762467 & -9.91054551500455 & -1.09238868789963 \tabularnewline
93 & 116.8 & 110.203282249717 & 0.091486633574169 & 6.59671775028267 & 0.323649442445218 \tabularnewline
94 & 115.7 & 108.723423210693 & 0.0782384954601769 & 6.97657678930742 & -1.25699249627229 \tabularnewline
95 & 99.4 & 105.210053304681 & 0.0483135624866218 & -5.81005330468101 & -2.87387823368404 \tabularnewline
96 & 94.3 & 103.766406806112 & 0.0360382604140943 & -9.46640680611158 & -1.19411146143459 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63600&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]98.8[/C][C]98.8[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]100.5[/C][C]99.0098361764009[/C][C]-0.0391919649449301[/C][C]1.49016382359911[/C][C]0.388717178313888[/C][/ROW]
[ROW][C]3[/C][C]110.4[/C][C]103.557938672195[/C][C]0.289117512396445[/C][C]6.8420613278053[/C][C]2.37894910697432[/C][/ROW]
[ROW][C]4[/C][C]96.4[/C][C]102.916616104524[/C][C]0.204866863319226[/C][C]-6.51661610452434[/C][C]-0.453472455807471[/C][/ROW]
[ROW][C]5[/C][C]101.9[/C][C]102.467031750271[/C][C]0.148646019839951[/C][C]-0.567031750271342[/C][C]-0.389935500093396[/C][/ROW]
[ROW][C]6[/C][C]106.2[/C][C]103.314154106381[/C][C]0.199016738617089[/C][C]2.88584589361902[/C][C]0.485265288551031[/C][/ROW]
[ROW][C]7[/C][C]81[/C][C]98.1421630341768[/C][C]-0.107051973677707[/C][C]-17.1421630341768[/C][C]-4.03755497919976[/C][/ROW]
[ROW][C]8[/C][C]94.7[/C][C]95.2415616478735[/C][C]-0.232145392064929[/C][C]-0.541561647873479[/C][C]-2.17500001561392[/C][/ROW]
[ROW][C]9[/C][C]101[/C][C]95.4144494351909[/C][C]-0.217351445974806[/C][C]5.58555056480914[/C][C]0.320074983827219[/C][/ROW]
[ROW][C]10[/C][C]109.4[/C][C]98.829318846847[/C][C]-0.102465549659385[/C][C]10.5706811531531[/C][C]2.88736399319624[/C][/ROW]
[ROW][C]11[/C][C]102.3[/C][C]101.082184715780[/C][C]-0.0340545801841086[/C][C]1.21781528422044[/C][C]1.87555612160628[/C][/ROW]
[ROW][C]12[/C][C]90.7[/C][C]99.5211029931645[/C][C]-0.0765164808777496[/C][C]-8.82110299316446[/C][C]-1.21573693447957[/C][/ROW]
[ROW][C]13[/C][C]96.2[/C][C]98.4278335880762[/C][C]-0.0786365050015628[/C][C]-2.22783358807624[/C][C]-0.837114293790518[/C][/ROW]
[ROW][C]14[/C][C]96.1[/C][C]97.6344558667332[/C][C]-0.0779097749925256[/C][C]-1.53445586673316[/C][C]-0.597327158208534[/C][/ROW]
[ROW][C]15[/C][C]106[/C][C]97.2148151878089[/C][C]-0.0817089763567255[/C][C]8.78518481219112[/C][C]-0.271968943399785[/C][/ROW]
[ROW][C]16[/C][C]103.1[/C][C]99.6618169891172[/C][C]-0.0188244895863435[/C][C]3.43818301088279[/C][C]1.88477326938139[/C][/ROW]
[ROW][C]17[/C][C]102[/C][C]100.698616455163[/C][C]0.0166870899182674[/C][C]1.30138354483683[/C][C]0.764909178644743[/C][/ROW]
[ROW][C]18[/C][C]104.7[/C][C]100.138930896851[/C][C]-0.00458268671612825[/C][C]4.56106910314886[/C][C]-0.422243923205732[/C][/ROW]
[ROW][C]19[/C][C]86[/C][C]100.426142359364[/C][C]0.00592639577782337[/C][C]-14.4261423593644[/C][C]0.219563317532909[/C][/ROW]
[ROW][C]20[/C][C]92.1[/C][C]99.2041441317476[/C][C]-0.0341627032902864[/C][C]-7.10414413174765[/C][C]-0.947080104535874[/C][/ROW]
[ROW][C]21[/C][C]106.9[/C][C]99.9994108213925[/C][C]-0.0107872688890624[/C][C]6.90058917860749[/C][C]0.650523709474136[/C][/ROW]
[ROW][C]22[/C][C]112.6[/C][C]100.924674703424[/C][C]0.0111798728709737[/C][C]11.6753252965756[/C][C]0.741231190687254[/C][/ROW]
[ROW][C]23[/C][C]101.7[/C][C]100.742016487239[/C][C]0.00751345736828228[/C][C]0.957983512761186[/C][C]-0.154306910210952[/C][/ROW]
[ROW][C]24[/C][C]92[/C][C]100.477357537409[/C][C]0.00347865014955188[/C][C]-8.4773575374093[/C][C]-0.217427882668088[/C][/ROW]
[ROW][C]25[/C][C]97.4[/C][C]100.199303446008[/C][C]0.000152177320648185[/C][C]-2.79930344600771[/C][C]-0.225435315804073[/C][/ROW]
[ROW][C]26[/C][C]97[/C][C]99.9893586502527[/C][C]-0.00221301989496133[/C][C]-2.98935865025267[/C][C]-0.167732327906410[/C][/ROW]
[ROW][C]27[/C][C]105.4[/C][C]99.651326768601[/C][C]-0.00668046894272565[/C][C]5.74867323139898[/C][C]-0.265059650259245[/C][/ROW]
[ROW][C]28[/C][C]102.7[/C][C]99.5463226882764[/C][C]-0.00833114375838917[/C][C]3.15367731172359[/C][C]-0.0764024285973884[/C][/ROW]
[ROW][C]29[/C][C]98.1[/C][C]98.7266147144523[/C][C]-0.024716530736683[/C][C]-0.626614714452342[/C][C]-0.6233580183334[/C][/ROW]
[ROW][C]30[/C][C]104.5[/C][C]98.7024140438546[/C][C]-0.0247049416873436[/C][C]5.79758595614544[/C][C]0.000395471388422841[/C][/ROW]
[ROW][C]31[/C][C]87.4[/C][C]99.3706841150724[/C][C]-0.00862983931384387[/C][C]-11.9706841150723[/C][C]0.534309673127569[/C][/ROW]
[ROW][C]32[/C][C]89.9[/C][C]99.283120171661[/C][C]-0.0104047850297574[/C][C]-9.38312017166093[/C][C]-0.0614178309585382[/C][/ROW]
[ROW][C]33[/C][C]109.8[/C][C]100.212333996473[/C][C]0.00906179768284433[/C][C]9.58766600352698[/C][C]0.737438521284237[/C][/ROW]
[ROW][C]34[/C][C]111.7[/C][C]100.410859326785[/C][C]0.0125454074693188[/C][C]11.2891406732150[/C][C]0.149661901763741[/C][/ROW]
[ROW][C]35[/C][C]98.6[/C][C]99.7158992477079[/C][C]0.00123238558733513[/C][C]-1.11589924770786[/C][C]-0.561278537023017[/C][/ROW]
[ROW][C]36[/C][C]96.9[/C][C]100.671893513954[/C][C]0.0145715389641173[/C][C]-3.77189351395415[/C][C]0.759306942950503[/C][/ROW]
[ROW][C]37[/C][C]95.1[/C][C]100.277128388259[/C][C]0.00937848982912856[/C][C]-5.17712838825894[/C][C]-0.325724349963536[/C][/ROW]
[ROW][C]38[/C][C]97[/C][C]99.9465804259737[/C][C]0.00518462919910609[/C][C]-2.94658042597369[/C][C]-0.270001948785785[/C][/ROW]
[ROW][C]39[/C][C]112.7[/C][C]101.397265781672[/C][C]0.0237964810241387[/C][C]11.3027342183279[/C][C]1.14338861161793[/C][/ROW]
[ROW][C]40[/C][C]102.9[/C][C]101.469161565781[/C][C]0.0244698132418411[/C][C]1.43083843421895[/C][C]0.0378481793485489[/C][/ROW]
[ROW][C]41[/C][C]97.4[/C][C]100.783988791014[/C][C]0.0136337196838558[/C][C]-3.38398879101382[/C][C]-0.556052023203621[/C][/ROW]
[ROW][C]42[/C][C]111.4[/C][C]101.856806009154[/C][C]0.0308758078933629[/C][C]9.54319399084579[/C][C]0.828606522996382[/C][/ROW]
[ROW][C]43[/C][C]87.4[/C][C]101.769756044686[/C][C]0.0288996685262079[/C][C]-14.3697560446857[/C][C]-0.0923682580025581[/C][/ROW]
[ROW][C]44[/C][C]96.8[/C][C]102.950634583458[/C][C]0.048045614227143[/C][C]-6.15063458345759[/C][C]0.90515765807726[/C][/ROW]
[ROW][C]45[/C][C]114.1[/C][C]103.762502462743[/C][C]0.0602233629901246[/C][C]10.3374975372574[/C][C]0.602428981689017[/C][/ROW]
[ROW][C]46[/C][C]110.3[/C][C]102.912604112212[/C][C]0.0466477584092689[/C][C]7.3873958877875[/C][C]-0.720272168885567[/C][/ROW]
[ROW][C]47[/C][C]103.9[/C][C]103.246960282092[/C][C]0.0506124271222886[/C][C]0.65303971790838[/C][C]0.228286603326934[/C][/ROW]
[ROW][C]48[/C][C]101.6[/C][C]103.872953200617[/C][C]0.0579596860053997[/C][C]-2.2729532006167[/C][C]0.457284546526323[/C][/ROW]
[ROW][C]49[/C][C]94.6[/C][C]103.2698439776[/C][C]0.0499844650346042[/C][C]-8.66984397760002[/C][C]-0.525669500923169[/C][/ROW]
[ROW][C]50[/C][C]95.9[/C][C]102.287356603882[/C][C]0.0378471829486033[/C][C]-6.38735660388211[/C][C]-0.820531912534926[/C][/ROW]
[ROW][C]51[/C][C]104.7[/C][C]99.8783734079314[/C][C]0.0089006847313382[/C][C]4.82162659206855[/C][C]-1.94164489347105[/C][/ROW]
[ROW][C]52[/C][C]102.8[/C][C]99.4090151217027[/C][C]0.00307500483439561[/C][C]3.39098487829731[/C][C]-0.378787462775978[/C][/ROW]
[ROW][C]53[/C][C]98.1[/C][C]100.038101379486[/C][C]0.0109906154563009[/C][C]-1.9381013794865[/C][C]0.494996185223788[/C][/ROW]
[ROW][C]54[/C][C]113.9[/C][C]101.454173949532[/C][C]0.0293281300903765[/C][C]12.4458260504676[/C][C]1.11014924342745[/C][/ROW]
[ROW][C]55[/C][C]80.9[/C][C]100.773068316939[/C][C]0.0199016027302481[/C][C]-19.8730683169387[/C][C]-0.561470987021063[/C][/ROW]
[ROW][C]56[/C][C]95.7[/C][C]100.817171353148[/C][C]0.0202218476453798[/C][C]-5.11717135314811[/C][C]0.0191492475154115[/C][/ROW]
[ROW][C]57[/C][C]113.2[/C][C]101.173950995573[/C][C]0.0245797155182187[/C][C]12.0260490044272[/C][C]0.266736234786609[/C][/ROW]
[ROW][C]58[/C][C]105.9[/C][C]100.683320882683[/C][C]0.0181488837195439[/C][C]5.2166791173168[/C][C]-0.409016963290624[/C][/ROW]
[ROW][C]59[/C][C]108.8[/C][C]102.121932281781[/C][C]0.0351014118717504[/C][C]6.67806771821907[/C][C]1.12930723947157[/C][/ROW]
[ROW][C]60[/C][C]102.3[/C][C]102.829289190337[/C][C]0.0427747121393249[/C][C]-0.529289190336752[/C][C]0.534999421844736[/C][/ROW]
[ROW][C]61[/C][C]99[/C][C]103.756183193088[/C][C]0.0525091831587319[/C][C]-4.75618319308842[/C][C]0.703946053253157[/C][/ROW]
[ROW][C]62[/C][C]100.7[/C][C]104.466051032359[/C][C]0.059591557389357[/C][C]-3.76605103235891[/C][C]0.523373688636769[/C][/ROW]
[ROW][C]63[/C][C]115.5[/C][C]106.246493475362[/C][C]0.0780223816736628[/C][C]9.2535065246378[/C][C]1.369460830772[/C][/ROW]
[ROW][C]64[/C][C]100.7[/C][C]105.049882692110[/C][C]0.0642789463183618[/C][C]-4.3498826921101[/C][C]-1.01367015760388[/C][/ROW]
[ROW][C]65[/C][C]109.9[/C][C]106.388711889583[/C][C]0.0782030914301732[/C][C]3.51128811041656[/C][C]1.01297767969026[/C][/ROW]
[ROW][C]66[/C][C]114.6[/C][C]105.828033352111[/C][C]0.0711344405141959[/C][C]8.77196664788895[/C][C]-0.507603384435839[/C][/ROW]
[ROW][C]67[/C][C]85.4[/C][C]105.58935604499[/C][C]0.0676839168247103[/C][C]-20.1893560449899[/C][C]-0.246175581026117[/C][/ROW]
[ROW][C]68[/C][C]100.5[/C][C]105.683769024753[/C][C]0.0679807938960927[/C][C]-5.18376902475264[/C][C]0.0212493259229752[/C][/ROW]
[ROW][C]69[/C][C]114.8[/C][C]105.244076340435[/C][C]0.0624140869473795[/C][C]9.55592365956484[/C][C]-0.403900964636287[/C][/ROW]
[ROW][C]70[/C][C]116.5[/C][C]106.966901115996[/C][C]0.08023597268656[/C][C]9.53309888400403[/C][C]1.32213392324065[/C][/ROW]
[ROW][C]71[/C][C]112.9[/C][C]107.774670324942[/C][C]0.0878406200810959[/C][C]5.12532967505839[/C][C]0.579769434185688[/C][/ROW]
[ROW][C]72[/C][C]102[/C][C]107.182998145959[/C][C]0.080929299987709[/C][C]-5.18299814595898[/C][C]-0.541834657596631[/C][/ROW]
[ROW][C]73[/C][C]106[/C][C]108.082999950545[/C][C]0.0890638668738728[/C][C]-2.08299995054509[/C][C]0.653363831570579[/C][/ROW]
[ROW][C]74[/C][C]105.3[/C][C]108.892783705605[/C][C]0.096099529042043[/C][C]-3.59278370560491[/C][C]0.574983331025758[/C][/ROW]
[ROW][C]75[/C][C]118.8[/C][C]109.236252956376[/C][C]0.0984917682877512[/C][C]9.56374704362398[/C][C]0.197334193980319[/C][/ROW]
[ROW][C]76[/C][C]106.1[/C][C]109.807591688791[/C][C]0.103052877421846[/C][C]-3.70759168879077[/C][C]0.377132033601843[/C][/ROW]
[ROW][C]77[/C][C]109.3[/C][C]108.972746541674[/C][C]0.0939907637044517[/C][C]0.327253458326185[/C][C]-0.747902412160804[/C][/ROW]
[ROW][C]78[/C][C]117.2[/C][C]108.553794248145[/C][C]0.0890219911352814[/C][C]8.64620575185526[/C][C]-0.408996736360124[/C][/ROW]
[ROW][C]79[/C][C]92.5[/C][C]109.494963525861[/C][C]0.097279416064863[/C][C]-16.9949635258609[/C][C]0.679515249683659[/C][/ROW]
[ROW][C]80[/C][C]104.2[/C][C]110.010801913117[/C][C]0.101319218354531[/C][C]-5.81080191311746[/C][C]0.333849764300692[/C][/ROW]
[ROW][C]81[/C][C]112.5[/C][C]108.962124807663[/C][C]0.0903205405309879[/C][C]3.5378751923371[/C][C]-0.917612323072251[/C][/ROW]
[ROW][C]82[/C][C]122.4[/C][C]109.660001921748[/C][C]0.0960517884015915[/C][C]12.7399980782524[/C][C]0.485005688976279[/C][/ROW]
[ROW][C]83[/C][C]113.3[/C][C]109.650511643925[/C][C]0.0950728527480774[/C][C]3.64948835607482[/C][C]-0.0842908545868984[/C][/ROW]
[ROW][C]84[/C][C]100[/C][C]108.888217294143[/C][C]0.0872611125754726[/C][C]-8.88821729414274[/C][C]-0.684995664189131[/C][/ROW]
[ROW][C]85[/C][C]110.7[/C][C]109.710018127783[/C][C]0.0938437929149724[/C][C]0.989981872217309[/C][C]0.587025782419494[/C][/ROW]
[ROW][C]86[/C][C]112.8[/C][C]111.648262460642[/C][C]0.110150253502444[/C][C]1.15173753935811[/C][C]1.47423888983122[/C][/ROW]
[ROW][C]87[/C][C]109.8[/C][C]109.698685786573[/C][C]0.0921156500481193[/C][C]0.10131421342673[/C][C]-1.64645292240216[/C][/ROW]
[ROW][C]88[/C][C]117.3[/C][C]111.470844030213[/C][C]0.106737286436953[/C][C]5.82915596978738[/C][C]1.34294879762472[/C][/ROW]
[ROW][C]89[/C][C]109.1[/C][C]111.545343882623[/C][C]0.106457692833247[/C][C]-2.44534388262266[/C][C]-0.0257687263146201[/C][/ROW]
[ROW][C]90[/C][C]115.9[/C][C]110.738494474843[/C][C]0.0985564180282694[/C][C]5.1615055251569[/C][C]-0.73005761651245[/C][/ROW]
[ROW][C]91[/C][C]96[/C][C]110.977032369369[/C][C]0.0997636310885871[/C][C]-14.9770323693694[/C][C]0.111904473912141[/C][/ROW]
[ROW][C]92[/C][C]99.8[/C][C]109.710545515005[/C][C]0.0880402166762467[/C][C]-9.91054551500455[/C][C]-1.09238868789963[/C][/ROW]
[ROW][C]93[/C][C]116.8[/C][C]110.203282249717[/C][C]0.091486633574169[/C][C]6.59671775028267[/C][C]0.323649442445218[/C][/ROW]
[ROW][C]94[/C][C]115.7[/C][C]108.723423210693[/C][C]0.0782384954601769[/C][C]6.97657678930742[/C][C]-1.25699249627229[/C][/ROW]
[ROW][C]95[/C][C]99.4[/C][C]105.210053304681[/C][C]0.0483135624866218[/C][C]-5.81005330468101[/C][C]-2.87387823368404[/C][/ROW]
[ROW][C]96[/C][C]94.3[/C][C]103.766406806112[/C][C]0.0360382604140943[/C][C]-9.46640680611158[/C][C]-1.19411146143459[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=63600&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63600&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
t	Observed	Level	Slope	Seasonal	Stand. Residuals
1	98.8	98.8	0	0	0
2	100.5	99.0098361764009	-0.0391919649449301	1.49016382359911	0.388717178313888
3	110.4	103.557938672195	0.289117512396445	6.8420613278053	2.37894910697432
4	96.4	102.916616104524	0.204866863319226	-6.51661610452434	-0.453472455807471
5	101.9	102.467031750271	0.148646019839951	-0.567031750271342	-0.389935500093396
6	106.2	103.314154106381	0.199016738617089	2.88584589361902	0.485265288551031
7	81	98.1421630341768	-0.107051973677707	-17.1421630341768	-4.03755497919976
8	94.7	95.2415616478735	-0.232145392064929	-0.541561647873479	-2.17500001561392
9	101	95.4144494351909	-0.217351445974806	5.58555056480914	0.320074983827219
10	109.4	98.829318846847	-0.102465549659385	10.5706811531531	2.88736399319624
11	102.3	101.082184715780	-0.0340545801841086	1.21781528422044	1.87555612160628
12	90.7	99.5211029931645	-0.0765164808777496	-8.82110299316446	-1.21573693447957
13	96.2	98.4278335880762	-0.0786365050015628	-2.22783358807624	-0.837114293790518
14	96.1	97.6344558667332	-0.0779097749925256	-1.53445586673316	-0.597327158208534
15	106	97.2148151878089	-0.0817089763567255	8.78518481219112	-0.271968943399785
16	103.1	99.6618169891172	-0.0188244895863435	3.43818301088279	1.88477326938139
17	102	100.698616455163	0.0166870899182674	1.30138354483683	0.764909178644743
18	104.7	100.138930896851	-0.00458268671612825	4.56106910314886	-0.422243923205732
19	86	100.426142359364	0.00592639577782337	-14.4261423593644	0.219563317532909
20	92.1	99.2041441317476	-0.0341627032902864	-7.10414413174765	-0.947080104535874
21	106.9	99.9994108213925	-0.0107872688890624	6.90058917860749	0.650523709474136
22	112.6	100.924674703424	0.0111798728709737	11.6753252965756	0.741231190687254
23	101.7	100.742016487239	0.00751345736828228	0.957983512761186	-0.154306910210952
24	92	100.477357537409	0.00347865014955188	-8.4773575374093	-0.217427882668088
25	97.4	100.199303446008	0.000152177320648185	-2.79930344600771	-0.225435315804073
26	97	99.9893586502527	-0.00221301989496133	-2.98935865025267	-0.167732327906410
27	105.4	99.651326768601	-0.00668046894272565	5.74867323139898	-0.265059650259245
28	102.7	99.5463226882764	-0.00833114375838917	3.15367731172359	-0.0764024285973884
29	98.1	98.7266147144523	-0.024716530736683	-0.626614714452342	-0.6233580183334
30	104.5	98.7024140438546	-0.0247049416873436	5.79758595614544	0.000395471388422841
31	87.4	99.3706841150724	-0.00862983931384387	-11.9706841150723	0.534309673127569
32	89.9	99.283120171661	-0.0104047850297574	-9.38312017166093	-0.0614178309585382
33	109.8	100.212333996473	0.00906179768284433	9.58766600352698	0.737438521284237
34	111.7	100.410859326785	0.0125454074693188	11.2891406732150	0.149661901763741
35	98.6	99.7158992477079	0.00123238558733513	-1.11589924770786	-0.561278537023017
36	96.9	100.671893513954	0.0145715389641173	-3.77189351395415	0.759306942950503
37	95.1	100.277128388259	0.00937848982912856	-5.17712838825894	-0.325724349963536
38	97	99.9465804259737	0.00518462919910609	-2.94658042597369	-0.270001948785785
39	112.7	101.397265781672	0.0237964810241387	11.3027342183279	1.14338861161793
40	102.9	101.469161565781	0.0244698132418411	1.43083843421895	0.0378481793485489
41	97.4	100.783988791014	0.0136337196838558	-3.38398879101382	-0.556052023203621
42	111.4	101.856806009154	0.0308758078933629	9.54319399084579	0.828606522996382
43	87.4	101.769756044686	0.0288996685262079	-14.3697560446857	-0.0923682580025581
44	96.8	102.950634583458	0.048045614227143	-6.15063458345759	0.90515765807726
45	114.1	103.762502462743	0.0602233629901246	10.3374975372574	0.602428981689017
46	110.3	102.912604112212	0.0466477584092689	7.3873958877875	-0.720272168885567
47	103.9	103.246960282092	0.0506124271222886	0.65303971790838	0.228286603326934
48	101.6	103.872953200617	0.0579596860053997	-2.2729532006167	0.457284546526323
49	94.6	103.2698439776	0.0499844650346042	-8.66984397760002	-0.525669500923169
50	95.9	102.287356603882	0.0378471829486033	-6.38735660388211	-0.820531912534926
51	104.7	99.8783734079314	0.0089006847313382	4.82162659206855	-1.94164489347105
52	102.8	99.4090151217027	0.00307500483439561	3.39098487829731	-0.378787462775978
53	98.1	100.038101379486	0.0109906154563009	-1.9381013794865	0.494996185223788
54	113.9	101.454173949532	0.0293281300903765	12.4458260504676	1.11014924342745
55	80.9	100.773068316939	0.0199016027302481	-19.8730683169387	-0.561470987021063
56	95.7	100.817171353148	0.0202218476453798	-5.11717135314811	0.0191492475154115
57	113.2	101.173950995573	0.0245797155182187	12.0260490044272	0.266736234786609
58	105.9	100.683320882683	0.0181488837195439	5.2166791173168	-0.409016963290624
59	108.8	102.121932281781	0.0351014118717504	6.67806771821907	1.12930723947157
60	102.3	102.829289190337	0.0427747121393249	-0.529289190336752	0.534999421844736
61	99	103.756183193088	0.0525091831587319	-4.75618319308842	0.703946053253157
62	100.7	104.466051032359	0.059591557389357	-3.76605103235891	0.523373688636769
63	115.5	106.246493475362	0.0780223816736628	9.2535065246378	1.369460830772
64	100.7	105.049882692110	0.0642789463183618	-4.3498826921101	-1.01367015760388
65	109.9	106.388711889583	0.0782030914301732	3.51128811041656	1.01297767969026
66	114.6	105.828033352111	0.0711344405141959	8.77196664788895	-0.507603384435839
67	85.4	105.58935604499	0.0676839168247103	-20.1893560449899	-0.246175581026117
68	100.5	105.683769024753	0.0679807938960927	-5.18376902475264	0.0212493259229752
69	114.8	105.244076340435	0.0624140869473795	9.55592365956484	-0.403900964636287
70	116.5	106.966901115996	0.08023597268656	9.53309888400403	1.32213392324065
71	112.9	107.774670324942	0.0878406200810959	5.12532967505839	0.579769434185688
72	102	107.182998145959	0.080929299987709	-5.18299814595898	-0.541834657596631
73	106	108.082999950545	0.0890638668738728	-2.08299995054509	0.653363831570579
74	105.3	108.892783705605	0.096099529042043	-3.59278370560491	0.574983331025758
75	118.8	109.236252956376	0.0984917682877512	9.56374704362398	0.197334193980319
76	106.1	109.807591688791	0.103052877421846	-3.70759168879077	0.377132033601843
77	109.3	108.972746541674	0.0939907637044517	0.327253458326185	-0.747902412160804
78	117.2	108.553794248145	0.0890219911352814	8.64620575185526	-0.408996736360124
79	92.5	109.494963525861	0.097279416064863	-16.9949635258609	0.679515249683659
80	104.2	110.010801913117	0.101319218354531	-5.81080191311746	0.333849764300692
81	112.5	108.962124807663	0.0903205405309879	3.5378751923371	-0.917612323072251
82	122.4	109.660001921748	0.0960517884015915	12.7399980782524	0.485005688976279
83	113.3	109.650511643925	0.0950728527480774	3.64948835607482	-0.0842908545868984
84	100	108.888217294143	0.0872611125754726	-8.88821729414274	-0.684995664189131
85	110.7	109.710018127783	0.0938437929149724	0.989981872217309	0.587025782419494
86	112.8	111.648262460642	0.110150253502444	1.15173753935811	1.47423888983122
87	109.8	109.698685786573	0.0921156500481193	0.10131421342673	-1.64645292240216
88	117.3	111.470844030213	0.106737286436953	5.82915596978738	1.34294879762472
89	109.1	111.545343882623	0.106457692833247	-2.44534388262266	-0.0257687263146201
90	115.9	110.738494474843	0.0985564180282694	5.1615055251569	-0.73005761651245
91	96	110.977032369369	0.0997636310885871	-14.9770323693694	0.111904473912141
92	99.8	109.710545515005	0.0880402166762467	-9.91054551500455	-1.09238868789963
93	116.8	110.203282249717	0.091486633574169	6.59671775028267	0.323649442445218
94	115.7	108.723423210693	0.0782384954601769	6.97657678930742	-1.25699249627229
95	99.4	105.210053304681	0.0483135624866218	-5.81005330468101	-2.87387823368404
96	94.3	103.766406806112	0.0360382604140943	-9.46640680611158	-1.19411146143459

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Figure 3

PNG link

Postscript link

PDF link

Figure 4

PNG link

Postscript link

PDF link

Figure 5

PNG link

Postscript link

PDF link

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')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code