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R Software Module

rwasp_structuraltimeseries.wasp

Title produced by software

Structural Time Series Models

Date of computation

Sun, 26 Dec 2010 13:32:25 +0000

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Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Dec/26/t1293370265yojxu3s9qh9tb3z.htm/, Retrieved Thu, 02 May 2024 15:18:07 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=115604, Retrieved Thu, 02 May 2024 15:18:07 +0000

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IsPrivate?

No (this computation is public)

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Estimated Impact

230

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 11:33:35] [74be16979710d4c4e7c6647856088456]
-  M D      [Structural Time Series Models] [WS5 - monthly bir...] [2010-12-08 15:29:30] [8ed0bd3560b9ca2814a2ed0a29182575]
-    D          [Structural Time Series Models] [STSM Dollar] [2010-12-26 13:32:25] [c9d5faca36bd2ada281161976df30bf1] [Current]

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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	22 seconds
R Server	'George Udny Yule' @ 72.249.76.132

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 22 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=115604&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]22 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=115604&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=115604&T=0

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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	22 seconds
R Server	'George Udny Yule' @ 72.249.76.132

Structural Time Series Model
t	Observed	Level	Slope	Seasonal	Stand. Residuals
1	0.8973	0.8973	0	0	0
2	0.9383	0.936168000075857	0.00213199998160767	0.00213199992414349	0.719789379959892
3	0.9217	0.919642629485343	0.00205737051465687	0.00205737051465687	-0.576589013356853
4	0.9095	0.907499206351308	0.00200079364869197	0.00200079364869197	-0.43885908541227
5	0.892	0.890076284585504	0.00192371541449609	0.00192371541449609	-0.600262709021044
6	0.8742	0.87235393700682	0.00184606299317954	0.00184606299317955	-0.60712930680806
7	0.8532	0.851443529408905	0.00175647059109495	0.00175647059109495	-0.70324589433565
8	0.8607	0.858921093747603	0.00177890625239694	0.00177890625239694	0.176798275288377
9	0.9005	0.898573151751551	0.00192684824844891	0.00192684824844891	1.17038054590496
10	0.9111	0.909139534884968	0.00196046511503164	0.00196046511503164	0.266982454359909
11	0.9059	0.903967181467874	0.00193281853212590	0.00193281853212590	-0.22041963125948
12	0.8883	0.886442307691509	0.00185769230849109	0.00185769230849110	-0.601280598491724
13	0.8924	0.90504278200202	0.00114934384135221	-0.0126427820020193	0.625104324837924
14	0.8833	0.882718909243836	0.000581090917622456	0.00058109075616367	-0.617150691080449
15	0.87	0.869444101612688	0.000555898387311558	0.000555898387311558	-0.427738378143892
16	0.8758	0.875234601429086	0.00056539857091401	0.000565398570914008	0.161594444562762
17	0.8858	0.885217540667866	0.000582459332134159	0.000582459332134158	0.290723138479871
18	0.917	0.916362274351744	0.000637725648255614	0.000637725648255613	0.943467737986584
19	0.9554	0.954694234221186	0.000705765778814193	0.000705765778814188	1.16363185376618
20	0.9922	0.991429316536984	0.000770683463016112	0.000770683463016116	1.11223356048264
21	0.9778	0.977056552951177	0.000743447048822653	0.000743447048822651	-0.467481051705424
22	0.9808	0.980052508949674	0.000747491050325773	0.000747491050325774	0.0695352618423683
23	0.9811	0.980353309470297	0.00074669052970311	0.00074669052970311	-0.0137893760960925
24	1.0014	1.00061839284798	0.000781607152023652	0.000781607152023657	0.602533546637026
25	1.0183	1.02236725398745	0.000369750381056052	-0.00406725398745186	0.713132395721076
26	1.0622	1.06123235325218	0.00096764709214039	0.000967646747823025	1.07923218202040
27	1.0773	1.07631574616116	0.000984253838836316	0.000984253838836316	0.435620405996686
28	1.0807	1.07971291077858	0.000987089221424175	0.000987089221424176	0.0744638262205396
29	1.0848	1.08380926141102	0.00099073858898093	0.000990738588980925	0.0959535445590255
30	1.1582	1.15712447305558	0.001075526944415	0.00107552694441500	2.23197211870050
31	1.1663	1.16521625729829	0.00108374270170946	0.00108374270170946	0.216525323582058
32	1.1372	1.1361515186771	0.0010484813229006	0.00104848132290060	-0.930397066629317
33	1.1139	1.11287992997156	0.00102007002843637	0.00102007002843637	-0.750528895038914
34	1.1222	1.12117144520538	0.00102855479461833	0.00102855479461833	0.224400094803468
35	1.1692	1.16811792781132	0.00108207218868132	0.00108207218868132	1.41704710199551
36	1.1702	1.16911802324409	0.00108197675591146	0.00108197675591147	-0.00252983641068476
37	1.2286	1.23183047910256	0.000293679943058873	-0.00323047910255836	2.03015823521528
38	1.2613	1.26067982641986	0.000620173951783961	0.000620173580140559	0.822743273075176
39	1.2646	1.26397749779210	0.000622502207895658	0.000622502207895656	0.0826165150682867
40	1.2262	1.22561137148813	0.000588628511868732	0.000588628511868731	-1.20302763429544
41	1.1985	1.19793590628894	0.00056409371105703	0.000564093711057025	-0.872112569222154
42	1.2007	1.20013448869266	0.000565511307335573	0.000565511307335569	0.0504335151012443
43	1.2138	1.21322363632272	0.000576363677281762	0.000576363677281757	0.386427123844363
44	1.2266	1.22601306224404	0.000586937755961629	0.000586937755961631	0.376843963350759
45	1.2176	1.21702134827402	0.00057865172598466	0.000578651725984655	-0.295556974759445
46	1.2218	1.22121822103061	0.000581778969395024	0.000581778969395023	0.111643067623664
47	1.249	1.24839525449216	0.000604745507839922	0.000604745507839924	0.820617276699492
48	1.2991	1.29845258617408	0.000647413825916506	0.000647413825916513	1.52589746785340
49	1.3408	1.34330999224743	0.000228181150751563	-0.00250999224743125	1.43289733918776
50	1.3119	1.31195751751124	-5.75172094124582e-05	-5.75175112391054e-05	-0.923787347527385
51	1.3014	1.30146471394875	-6.47139487463972e-05	-6.47139487463975e-05	-0.321960909050973
52	1.3201	1.32015179059389	-5.17905938875944e-05	-5.17905938875955e-05	0.578550687159317
53	1.2938	1.29386985542915	-6.98554291530096e-05	-6.98554291530128e-05	-0.809280825252152
54	1.2694	1.26948658867612	-8.65886761151433e-05	-8.6588676115135e-05	-0.75014351780507
55	1.2165	1.21662288654811	-0.000122886548113697	-0.000122886548113710	-1.62833588646427
56	1.2037	1.20383159335556	-0.000131593355556708	-0.000131593355556709	-0.390859123249421
57	1.2292	1.2293140013242	-0.000114001324198682	-0.000114001324198687	0.790270159476723
58	1.2256	1.22571639226945	-0.000116392269450691	-0.000116392269450689	-0.107479911221673
59	1.2015	1.20163283065485	-0.000132830654854464	-0.000132830654854457	-0.739460015823206
60	1.1786	1.17874842460423	-0.000148424604234408	-0.000148424604234397	-0.701955083145818
61	1.1856	1.18355654658199	-0.000185768447181241	0.00204345341800604	0.159080800000323
62	1.2103	1.21028434338108	1.56572096051783e-05	1.56566189187376e-05	0.794887083394606
63	1.1938	1.19379377490366	6.22509633846648e-06	6.22509633846237e-06	-0.509238108595697
64	1.202	1.20198909809232	1.09019076806727e-05	1.09019076806693e-05	0.252644075485236
65	1.2271	1.22707478600235	2.52139976462872e-05	2.52139976462837e-05	0.77358886463599
66	1.277	1.27694635112362	5.36488763778315e-05	5.36488763778158e-05	1.53782273133959
67	1.265	1.26495321929842	4.67807015782706e-05	4.67807015782585e-05	-0.371658301438412
68	1.2684	1.26835130972057	4.86902794334402e-05	4.86902794334381e-05	0.103392093456135
69	1.2811	1.28104410920405	5.58907959477543e-05	5.58907959477515e-05	0.390086508713718
70	1.2727	1.27264891915247	5.10808475273547e-05	5.10808475273545e-05	-0.260726322077641
71	1.2611	1.26105554284708	4.44571529172106e-05	4.44571529172181e-05	-0.359245882233398
72	1.2881	1.28804022720040	5.97727995974264e-05	5.97727995974367e-05	0.831139141747973
73	1.3213	1.31977953232277	-0.000138224269761954	0.00152046767723252	1.01010353885725
74	1.2999	1.30016253715576	-0.000262536511629337	-0.000262537155756682	-0.579149806124275
75	1.3074	1.30765875176239	-0.00025875176239054	-0.000258751762390547	0.239357361856446
76	1.3242	1.32445043853225	-0.000250438532250292	-0.000250438532250294	0.526005722246638
77	1.3516	1.35183697022595	-0.000236970225948186	-0.000236970225948189	0.852599933467548
78	1.3511	1.35133709828326	-0.000237098283260704	-0.000237098283260719	-0.00811051131064872
79	1.3419	1.34214145979171	-0.000241459791714629	-0.000241459791714642	-0.276370706043170
80	1.3716	1.37182689682788	-0.000226896827884425	-0.000226896827884425	0.923243791336669
81	1.3622	1.36243135628403	-0.000231356284027731	-0.000231356284027736	-0.282852326226023
82	1.3896	1.38981792997178	-0.000217929971779064	-0.000217929971779063	0.85201203765279
83	1.4227	1.42290174836754	-0.000201748367538827	-0.000201748367538817	1.02735748709004
84	1.4684	1.46857946596999	-0.000179465969991662	-0.000179465969991654	1.41537936052940
85	1.457	1.45576785886849	-0.000112012792309105	0.00123214113150733	-0.400885417667154
86	1.4718	1.47182208552311	-2.20850528384655e-05	-2.20855231064326e-05	0.483015563945238
87	1.4748	1.47482079960929	-2.07996092865899e-05	-2.07996092865991e-05	0.0931887102666743
88	1.5527	1.55268767002548	1.23299745226668e-05	1.23299745226656e-05	2.40275850807065
89	1.575	1.57497819800476	2.18019952362484e-05	2.1801995236246e-05	0.687260575964102
90	1.5557	1.55568640607503	1.35939249668178e-05	1.35939249668084e-05	-0.595805391588276
91	1.5553	1.55528658169874	1.34183012611066e-05	1.34183012610881e-05	-0.0127535471442651
92	1.577	1.57697737686998	2.26231300223300e-05	2.26231300223298e-05	0.668725651736666
93	1.4975	1.49751111577719	-1.11157771902430e-05	-1.11157771902597e-05	-2.45215329503835
94	1.4369	1.43693681080259	-3.68108025855725e-05	-3.68108025855654e-05	-1.86831419303888
95	1.3322	1.33228117840090	-8.11784009049724e-05	-8.11784009049554e-05	-3.22738637555187
96	1.2732	1.27330614399737	-0.000106143997373435	-0.000106143997373419	-1.81681659651114
97	1.3449	1.34029250321298	-0.000418863275201434	0.00460749678701518	2.12168274049330
98	1.3239	1.32439517043736	-0.000495169729131669	-0.000495170437359888	-0.464198006944616
99	1.2785	1.27901210851334	-0.00051210851334077	-0.000512108513340797	-1.38471439959318
100	1.305	1.30550192295480	-0.000501922954796684	-0.000501922954796686	0.832962897304774
101	1.319	1.3194964567207	-0.000496456720698833	-0.000496456720698833	0.447190733508145
102	1.365	1.36547893733704	-0.000478937337035333	-0.000478937337035358	1.43379509933716
103	1.4016	1.40206497163934	-0.000464971639336542	-0.000464971639336559	1.14339040360970
104	1.4088	1.40926208573211	-0.000462085732113682	-0.000462085732113683	0.236362103863591
105	1.4268	1.42725513726362	-0.000455137263621688	-0.000455137263621696	0.569309051615043
106	1.4562	1.45664390508557	-0.000443905085569105	-0.000443905085569103	0.920632767706364
107	1.4816	1.48203418568047	-0.000434185680468259	-0.000434185680468246	0.796939814445722
108	1.4914	1.49183033824327	-0.000430338243272688	-0.000430338243272666	0.315588166222294
109	1.4614	1.45817752628093	-0.000292952082180122	0.00322247371907478	-1.04770908504202
110	1.4272	1.42762688198742	-0.000426881272697738	-0.000426881987422614	-0.910106933769154
111	1.3686	1.36904659423600	-0.000446594236002106	-0.000446594236002148	-1.79389832891346
112	1.3569	1.35735040636418	-0.000450406364182928	-0.000450406364182928	-0.347023970123027
113	1.3406	1.34105577364792	-0.000455773647923225	-0.000455773647923226	-0.488757744923583
114	1.2565	1.25698408922047	-0.000484089220465286	-0.000484089220465286	-2.57935734701830
115	1.2208	1.22129600661479	-0.000496006614790545	-0.000496006614790565	-1.08596166606329
116	1.277	1.27747682664536	-0.00047682664535952	-0.000476826645359518	1.74834874251846
117	1.2894	1.28987247195385	-0.000472471953850926	-0.000472471953850936	0.397085902614751
118	1.3067	1.30716646368251	-0.00046646368250685	-0.000466463682506847	0.548054164694782
119	1.3898	1.39023822223652	-0.000438222236516553	-0.000438222236516546	2.57696009795879
120	1.3661	1.36654608094287	-0.000446080942870452	-0.000446080942870432	-0.717329343443493

\begin{tabular}{lllllllll}
\hline
Structural Time Series Model \tabularnewline
t & Observed & Level & Slope & Seasonal & Stand. Residuals \tabularnewline
1 & 0.8973 & 0.8973 & 0 & 0 & 0 \tabularnewline
2 & 0.9383 & 0.936168000075857 & 0.00213199998160767 & 0.00213199992414349 & 0.719789379959892 \tabularnewline
3 & 0.9217 & 0.919642629485343 & 0.00205737051465687 & 0.00205737051465687 & -0.576589013356853 \tabularnewline
4 & 0.9095 & 0.907499206351308 & 0.00200079364869197 & 0.00200079364869197 & -0.43885908541227 \tabularnewline
5 & 0.892 & 0.890076284585504 & 0.00192371541449609 & 0.00192371541449609 & -0.600262709021044 \tabularnewline
6 & 0.8742 & 0.87235393700682 & 0.00184606299317954 & 0.00184606299317955 & -0.60712930680806 \tabularnewline
7 & 0.8532 & 0.851443529408905 & 0.00175647059109495 & 0.00175647059109495 & -0.70324589433565 \tabularnewline
8 & 0.8607 & 0.858921093747603 & 0.00177890625239694 & 0.00177890625239694 & 0.176798275288377 \tabularnewline
9 & 0.9005 & 0.898573151751551 & 0.00192684824844891 & 0.00192684824844891 & 1.17038054590496 \tabularnewline
10 & 0.9111 & 0.909139534884968 & 0.00196046511503164 & 0.00196046511503164 & 0.266982454359909 \tabularnewline
11 & 0.9059 & 0.903967181467874 & 0.00193281853212590 & 0.00193281853212590 & -0.22041963125948 \tabularnewline
12 & 0.8883 & 0.886442307691509 & 0.00185769230849109 & 0.00185769230849110 & -0.601280598491724 \tabularnewline
13 & 0.8924 & 0.90504278200202 & 0.00114934384135221 & -0.0126427820020193 & 0.625104324837924 \tabularnewline
14 & 0.8833 & 0.882718909243836 & 0.000581090917622456 & 0.00058109075616367 & -0.617150691080449 \tabularnewline
15 & 0.87 & 0.869444101612688 & 0.000555898387311558 & 0.000555898387311558 & -0.427738378143892 \tabularnewline
16 & 0.8758 & 0.875234601429086 & 0.00056539857091401 & 0.000565398570914008 & 0.161594444562762 \tabularnewline
17 & 0.8858 & 0.885217540667866 & 0.000582459332134159 & 0.000582459332134158 & 0.290723138479871 \tabularnewline
18 & 0.917 & 0.916362274351744 & 0.000637725648255614 & 0.000637725648255613 & 0.943467737986584 \tabularnewline
19 & 0.9554 & 0.954694234221186 & 0.000705765778814193 & 0.000705765778814188 & 1.16363185376618 \tabularnewline
20 & 0.9922 & 0.991429316536984 & 0.000770683463016112 & 0.000770683463016116 & 1.11223356048264 \tabularnewline
21 & 0.9778 & 0.977056552951177 & 0.000743447048822653 & 0.000743447048822651 & -0.467481051705424 \tabularnewline
22 & 0.9808 & 0.980052508949674 & 0.000747491050325773 & 0.000747491050325774 & 0.0695352618423683 \tabularnewline
23 & 0.9811 & 0.980353309470297 & 0.00074669052970311 & 0.00074669052970311 & -0.0137893760960925 \tabularnewline
24 & 1.0014 & 1.00061839284798 & 0.000781607152023652 & 0.000781607152023657 & 0.602533546637026 \tabularnewline
25 & 1.0183 & 1.02236725398745 & 0.000369750381056052 & -0.00406725398745186 & 0.713132395721076 \tabularnewline
26 & 1.0622 & 1.06123235325218 & 0.00096764709214039 & 0.000967646747823025 & 1.07923218202040 \tabularnewline
27 & 1.0773 & 1.07631574616116 & 0.000984253838836316 & 0.000984253838836316 & 0.435620405996686 \tabularnewline
28 & 1.0807 & 1.07971291077858 & 0.000987089221424175 & 0.000987089221424176 & 0.0744638262205396 \tabularnewline
29 & 1.0848 & 1.08380926141102 & 0.00099073858898093 & 0.000990738588980925 & 0.0959535445590255 \tabularnewline
30 & 1.1582 & 1.15712447305558 & 0.001075526944415 & 0.00107552694441500 & 2.23197211870050 \tabularnewline
31 & 1.1663 & 1.16521625729829 & 0.00108374270170946 & 0.00108374270170946 & 0.216525323582058 \tabularnewline
32 & 1.1372 & 1.1361515186771 & 0.0010484813229006 & 0.00104848132290060 & -0.930397066629317 \tabularnewline
33 & 1.1139 & 1.11287992997156 & 0.00102007002843637 & 0.00102007002843637 & -0.750528895038914 \tabularnewline
34 & 1.1222 & 1.12117144520538 & 0.00102855479461833 & 0.00102855479461833 & 0.224400094803468 \tabularnewline
35 & 1.1692 & 1.16811792781132 & 0.00108207218868132 & 0.00108207218868132 & 1.41704710199551 \tabularnewline
36 & 1.1702 & 1.16911802324409 & 0.00108197675591146 & 0.00108197675591147 & -0.00252983641068476 \tabularnewline
37 & 1.2286 & 1.23183047910256 & 0.000293679943058873 & -0.00323047910255836 & 2.03015823521528 \tabularnewline
38 & 1.2613 & 1.26067982641986 & 0.000620173951783961 & 0.000620173580140559 & 0.822743273075176 \tabularnewline
39 & 1.2646 & 1.26397749779210 & 0.000622502207895658 & 0.000622502207895656 & 0.0826165150682867 \tabularnewline
40 & 1.2262 & 1.22561137148813 & 0.000588628511868732 & 0.000588628511868731 & -1.20302763429544 \tabularnewline
41 & 1.1985 & 1.19793590628894 & 0.00056409371105703 & 0.000564093711057025 & -0.872112569222154 \tabularnewline
42 & 1.2007 & 1.20013448869266 & 0.000565511307335573 & 0.000565511307335569 & 0.0504335151012443 \tabularnewline
43 & 1.2138 & 1.21322363632272 & 0.000576363677281762 & 0.000576363677281757 & 0.386427123844363 \tabularnewline
44 & 1.2266 & 1.22601306224404 & 0.000586937755961629 & 0.000586937755961631 & 0.376843963350759 \tabularnewline
45 & 1.2176 & 1.21702134827402 & 0.00057865172598466 & 0.000578651725984655 & -0.295556974759445 \tabularnewline
46 & 1.2218 & 1.22121822103061 & 0.000581778969395024 & 0.000581778969395023 & 0.111643067623664 \tabularnewline
47 & 1.249 & 1.24839525449216 & 0.000604745507839922 & 0.000604745507839924 & 0.820617276699492 \tabularnewline
48 & 1.2991 & 1.29845258617408 & 0.000647413825916506 & 0.000647413825916513 & 1.52589746785340 \tabularnewline
49 & 1.3408 & 1.34330999224743 & 0.000228181150751563 & -0.00250999224743125 & 1.43289733918776 \tabularnewline
50 & 1.3119 & 1.31195751751124 & -5.75172094124582e-05 & -5.75175112391054e-05 & -0.923787347527385 \tabularnewline
51 & 1.3014 & 1.30146471394875 & -6.47139487463972e-05 & -6.47139487463975e-05 & -0.321960909050973 \tabularnewline
52 & 1.3201 & 1.32015179059389 & -5.17905938875944e-05 & -5.17905938875955e-05 & 0.578550687159317 \tabularnewline
53 & 1.2938 & 1.29386985542915 & -6.98554291530096e-05 & -6.98554291530128e-05 & -0.809280825252152 \tabularnewline
54 & 1.2694 & 1.26948658867612 & -8.65886761151433e-05 & -8.6588676115135e-05 & -0.75014351780507 \tabularnewline
55 & 1.2165 & 1.21662288654811 & -0.000122886548113697 & -0.000122886548113710 & -1.62833588646427 \tabularnewline
56 & 1.2037 & 1.20383159335556 & -0.000131593355556708 & -0.000131593355556709 & -0.390859123249421 \tabularnewline
57 & 1.2292 & 1.2293140013242 & -0.000114001324198682 & -0.000114001324198687 & 0.790270159476723 \tabularnewline
58 & 1.2256 & 1.22571639226945 & -0.000116392269450691 & -0.000116392269450689 & -0.107479911221673 \tabularnewline
59 & 1.2015 & 1.20163283065485 & -0.000132830654854464 & -0.000132830654854457 & -0.739460015823206 \tabularnewline
60 & 1.1786 & 1.17874842460423 & -0.000148424604234408 & -0.000148424604234397 & -0.701955083145818 \tabularnewline
61 & 1.1856 & 1.18355654658199 & -0.000185768447181241 & 0.00204345341800604 & 0.159080800000323 \tabularnewline
62 & 1.2103 & 1.21028434338108 & 1.56572096051783e-05 & 1.56566189187376e-05 & 0.794887083394606 \tabularnewline
63 & 1.1938 & 1.19379377490366 & 6.22509633846648e-06 & 6.22509633846237e-06 & -0.509238108595697 \tabularnewline
64 & 1.202 & 1.20198909809232 & 1.09019076806727e-05 & 1.09019076806693e-05 & 0.252644075485236 \tabularnewline
65 & 1.2271 & 1.22707478600235 & 2.52139976462872e-05 & 2.52139976462837e-05 & 0.77358886463599 \tabularnewline
66 & 1.277 & 1.27694635112362 & 5.36488763778315e-05 & 5.36488763778158e-05 & 1.53782273133959 \tabularnewline
67 & 1.265 & 1.26495321929842 & 4.67807015782706e-05 & 4.67807015782585e-05 & -0.371658301438412 \tabularnewline
68 & 1.2684 & 1.26835130972057 & 4.86902794334402e-05 & 4.86902794334381e-05 & 0.103392093456135 \tabularnewline
69 & 1.2811 & 1.28104410920405 & 5.58907959477543e-05 & 5.58907959477515e-05 & 0.390086508713718 \tabularnewline
70 & 1.2727 & 1.27264891915247 & 5.10808475273547e-05 & 5.10808475273545e-05 & -0.260726322077641 \tabularnewline
71 & 1.2611 & 1.26105554284708 & 4.44571529172106e-05 & 4.44571529172181e-05 & -0.359245882233398 \tabularnewline
72 & 1.2881 & 1.28804022720040 & 5.97727995974264e-05 & 5.97727995974367e-05 & 0.831139141747973 \tabularnewline
73 & 1.3213 & 1.31977953232277 & -0.000138224269761954 & 0.00152046767723252 & 1.01010353885725 \tabularnewline
74 & 1.2999 & 1.30016253715576 & -0.000262536511629337 & -0.000262537155756682 & -0.579149806124275 \tabularnewline
75 & 1.3074 & 1.30765875176239 & -0.00025875176239054 & -0.000258751762390547 & 0.239357361856446 \tabularnewline
76 & 1.3242 & 1.32445043853225 & -0.000250438532250292 & -0.000250438532250294 & 0.526005722246638 \tabularnewline
77 & 1.3516 & 1.35183697022595 & -0.000236970225948186 & -0.000236970225948189 & 0.852599933467548 \tabularnewline
78 & 1.3511 & 1.35133709828326 & -0.000237098283260704 & -0.000237098283260719 & -0.00811051131064872 \tabularnewline
79 & 1.3419 & 1.34214145979171 & -0.000241459791714629 & -0.000241459791714642 & -0.276370706043170 \tabularnewline
80 & 1.3716 & 1.37182689682788 & -0.000226896827884425 & -0.000226896827884425 & 0.923243791336669 \tabularnewline
81 & 1.3622 & 1.36243135628403 & -0.000231356284027731 & -0.000231356284027736 & -0.282852326226023 \tabularnewline
82 & 1.3896 & 1.38981792997178 & -0.000217929971779064 & -0.000217929971779063 & 0.85201203765279 \tabularnewline
83 & 1.4227 & 1.42290174836754 & -0.000201748367538827 & -0.000201748367538817 & 1.02735748709004 \tabularnewline
84 & 1.4684 & 1.46857946596999 & -0.000179465969991662 & -0.000179465969991654 & 1.41537936052940 \tabularnewline
85 & 1.457 & 1.45576785886849 & -0.000112012792309105 & 0.00123214113150733 & -0.400885417667154 \tabularnewline
86 & 1.4718 & 1.47182208552311 & -2.20850528384655e-05 & -2.20855231064326e-05 & 0.483015563945238 \tabularnewline
87 & 1.4748 & 1.47482079960929 & -2.07996092865899e-05 & -2.07996092865991e-05 & 0.0931887102666743 \tabularnewline
88 & 1.5527 & 1.55268767002548 & 1.23299745226668e-05 & 1.23299745226656e-05 & 2.40275850807065 \tabularnewline
89 & 1.575 & 1.57497819800476 & 2.18019952362484e-05 & 2.1801995236246e-05 & 0.687260575964102 \tabularnewline
90 & 1.5557 & 1.55568640607503 & 1.35939249668178e-05 & 1.35939249668084e-05 & -0.595805391588276 \tabularnewline
91 & 1.5553 & 1.55528658169874 & 1.34183012611066e-05 & 1.34183012610881e-05 & -0.0127535471442651 \tabularnewline
92 & 1.577 & 1.57697737686998 & 2.26231300223300e-05 & 2.26231300223298e-05 & 0.668725651736666 \tabularnewline
93 & 1.4975 & 1.49751111577719 & -1.11157771902430e-05 & -1.11157771902597e-05 & -2.45215329503835 \tabularnewline
94 & 1.4369 & 1.43693681080259 & -3.68108025855725e-05 & -3.68108025855654e-05 & -1.86831419303888 \tabularnewline
95 & 1.3322 & 1.33228117840090 & -8.11784009049724e-05 & -8.11784009049554e-05 & -3.22738637555187 \tabularnewline
96 & 1.2732 & 1.27330614399737 & -0.000106143997373435 & -0.000106143997373419 & -1.81681659651114 \tabularnewline
97 & 1.3449 & 1.34029250321298 & -0.000418863275201434 & 0.00460749678701518 & 2.12168274049330 \tabularnewline
98 & 1.3239 & 1.32439517043736 & -0.000495169729131669 & -0.000495170437359888 & -0.464198006944616 \tabularnewline
99 & 1.2785 & 1.27901210851334 & -0.00051210851334077 & -0.000512108513340797 & -1.38471439959318 \tabularnewline
100 & 1.305 & 1.30550192295480 & -0.000501922954796684 & -0.000501922954796686 & 0.832962897304774 \tabularnewline
101 & 1.319 & 1.3194964567207 & -0.000496456720698833 & -0.000496456720698833 & 0.447190733508145 \tabularnewline
102 & 1.365 & 1.36547893733704 & -0.000478937337035333 & -0.000478937337035358 & 1.43379509933716 \tabularnewline
103 & 1.4016 & 1.40206497163934 & -0.000464971639336542 & -0.000464971639336559 & 1.14339040360970 \tabularnewline
104 & 1.4088 & 1.40926208573211 & -0.000462085732113682 & -0.000462085732113683 & 0.236362103863591 \tabularnewline
105 & 1.4268 & 1.42725513726362 & -0.000455137263621688 & -0.000455137263621696 & 0.569309051615043 \tabularnewline
106 & 1.4562 & 1.45664390508557 & -0.000443905085569105 & -0.000443905085569103 & 0.920632767706364 \tabularnewline
107 & 1.4816 & 1.48203418568047 & -0.000434185680468259 & -0.000434185680468246 & 0.796939814445722 \tabularnewline
108 & 1.4914 & 1.49183033824327 & -0.000430338243272688 & -0.000430338243272666 & 0.315588166222294 \tabularnewline
109 & 1.4614 & 1.45817752628093 & -0.000292952082180122 & 0.00322247371907478 & -1.04770908504202 \tabularnewline
110 & 1.4272 & 1.42762688198742 & -0.000426881272697738 & -0.000426881987422614 & -0.910106933769154 \tabularnewline
111 & 1.3686 & 1.36904659423600 & -0.000446594236002106 & -0.000446594236002148 & -1.79389832891346 \tabularnewline
112 & 1.3569 & 1.35735040636418 & -0.000450406364182928 & -0.000450406364182928 & -0.347023970123027 \tabularnewline
113 & 1.3406 & 1.34105577364792 & -0.000455773647923225 & -0.000455773647923226 & -0.488757744923583 \tabularnewline
114 & 1.2565 & 1.25698408922047 & -0.000484089220465286 & -0.000484089220465286 & -2.57935734701830 \tabularnewline
115 & 1.2208 & 1.22129600661479 & -0.000496006614790545 & -0.000496006614790565 & -1.08596166606329 \tabularnewline
116 & 1.277 & 1.27747682664536 & -0.00047682664535952 & -0.000476826645359518 & 1.74834874251846 \tabularnewline
117 & 1.2894 & 1.28987247195385 & -0.000472471953850926 & -0.000472471953850936 & 0.397085902614751 \tabularnewline
118 & 1.3067 & 1.30716646368251 & -0.00046646368250685 & -0.000466463682506847 & 0.548054164694782 \tabularnewline
119 & 1.3898 & 1.39023822223652 & -0.000438222236516553 & -0.000438222236516546 & 2.57696009795879 \tabularnewline
120 & 1.3661 & 1.36654608094287 & -0.000446080942870452 & -0.000446080942870432 & -0.717329343443493 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=115604&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]0.8973[/C][C]0.8973[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]0.9383[/C][C]0.936168000075857[/C][C]0.00213199998160767[/C][C]0.00213199992414349[/C][C]0.719789379959892[/C][/ROW]
[ROW][C]3[/C][C]0.9217[/C][C]0.919642629485343[/C][C]0.00205737051465687[/C][C]0.00205737051465687[/C][C]-0.576589013356853[/C][/ROW]
[ROW][C]4[/C][C]0.9095[/C][C]0.907499206351308[/C][C]0.00200079364869197[/C][C]0.00200079364869197[/C][C]-0.43885908541227[/C][/ROW]
[ROW][C]5[/C][C]0.892[/C][C]0.890076284585504[/C][C]0.00192371541449609[/C][C]0.00192371541449609[/C][C]-0.600262709021044[/C][/ROW]
[ROW][C]6[/C][C]0.8742[/C][C]0.87235393700682[/C][C]0.00184606299317954[/C][C]0.00184606299317955[/C][C]-0.60712930680806[/C][/ROW]
[ROW][C]7[/C][C]0.8532[/C][C]0.851443529408905[/C][C]0.00175647059109495[/C][C]0.00175647059109495[/C][C]-0.70324589433565[/C][/ROW]
[ROW][C]8[/C][C]0.8607[/C][C]0.858921093747603[/C][C]0.00177890625239694[/C][C]0.00177890625239694[/C][C]0.176798275288377[/C][/ROW]
[ROW][C]9[/C][C]0.9005[/C][C]0.898573151751551[/C][C]0.00192684824844891[/C][C]0.00192684824844891[/C][C]1.17038054590496[/C][/ROW]
[ROW][C]10[/C][C]0.9111[/C][C]0.909139534884968[/C][C]0.00196046511503164[/C][C]0.00196046511503164[/C][C]0.266982454359909[/C][/ROW]
[ROW][C]11[/C][C]0.9059[/C][C]0.903967181467874[/C][C]0.00193281853212590[/C][C]0.00193281853212590[/C][C]-0.22041963125948[/C][/ROW]
[ROW][C]12[/C][C]0.8883[/C][C]0.886442307691509[/C][C]0.00185769230849109[/C][C]0.00185769230849110[/C][C]-0.601280598491724[/C][/ROW]
[ROW][C]13[/C][C]0.8924[/C][C]0.90504278200202[/C][C]0.00114934384135221[/C][C]-0.0126427820020193[/C][C]0.625104324837924[/C][/ROW]
[ROW][C]14[/C][C]0.8833[/C][C]0.882718909243836[/C][C]0.000581090917622456[/C][C]0.00058109075616367[/C][C]-0.617150691080449[/C][/ROW]
[ROW][C]15[/C][C]0.87[/C][C]0.869444101612688[/C][C]0.000555898387311558[/C][C]0.000555898387311558[/C][C]-0.427738378143892[/C][/ROW]
[ROW][C]16[/C][C]0.8758[/C][C]0.875234601429086[/C][C]0.00056539857091401[/C][C]0.000565398570914008[/C][C]0.161594444562762[/C][/ROW]
[ROW][C]17[/C][C]0.8858[/C][C]0.885217540667866[/C][C]0.000582459332134159[/C][C]0.000582459332134158[/C][C]0.290723138479871[/C][/ROW]
[ROW][C]18[/C][C]0.917[/C][C]0.916362274351744[/C][C]0.000637725648255614[/C][C]0.000637725648255613[/C][C]0.943467737986584[/C][/ROW]
[ROW][C]19[/C][C]0.9554[/C][C]0.954694234221186[/C][C]0.000705765778814193[/C][C]0.000705765778814188[/C][C]1.16363185376618[/C][/ROW]
[ROW][C]20[/C][C]0.9922[/C][C]0.991429316536984[/C][C]0.000770683463016112[/C][C]0.000770683463016116[/C][C]1.11223356048264[/C][/ROW]
[ROW][C]21[/C][C]0.9778[/C][C]0.977056552951177[/C][C]0.000743447048822653[/C][C]0.000743447048822651[/C][C]-0.467481051705424[/C][/ROW]
[ROW][C]22[/C][C]0.9808[/C][C]0.980052508949674[/C][C]0.000747491050325773[/C][C]0.000747491050325774[/C][C]0.0695352618423683[/C][/ROW]
[ROW][C]23[/C][C]0.9811[/C][C]0.980353309470297[/C][C]0.00074669052970311[/C][C]0.00074669052970311[/C][C]-0.0137893760960925[/C][/ROW]
[ROW][C]24[/C][C]1.0014[/C][C]1.00061839284798[/C][C]0.000781607152023652[/C][C]0.000781607152023657[/C][C]0.602533546637026[/C][/ROW]
[ROW][C]25[/C][C]1.0183[/C][C]1.02236725398745[/C][C]0.000369750381056052[/C][C]-0.00406725398745186[/C][C]0.713132395721076[/C][/ROW]
[ROW][C]26[/C][C]1.0622[/C][C]1.06123235325218[/C][C]0.00096764709214039[/C][C]0.000967646747823025[/C][C]1.07923218202040[/C][/ROW]
[ROW][C]27[/C][C]1.0773[/C][C]1.07631574616116[/C][C]0.000984253838836316[/C][C]0.000984253838836316[/C][C]0.435620405996686[/C][/ROW]
[ROW][C]28[/C][C]1.0807[/C][C]1.07971291077858[/C][C]0.000987089221424175[/C][C]0.000987089221424176[/C][C]0.0744638262205396[/C][/ROW]
[ROW][C]29[/C][C]1.0848[/C][C]1.08380926141102[/C][C]0.00099073858898093[/C][C]0.000990738588980925[/C][C]0.0959535445590255[/C][/ROW]
[ROW][C]30[/C][C]1.1582[/C][C]1.15712447305558[/C][C]0.001075526944415[/C][C]0.00107552694441500[/C][C]2.23197211870050[/C][/ROW]
[ROW][C]31[/C][C]1.1663[/C][C]1.16521625729829[/C][C]0.00108374270170946[/C][C]0.00108374270170946[/C][C]0.216525323582058[/C][/ROW]
[ROW][C]32[/C][C]1.1372[/C][C]1.1361515186771[/C][C]0.0010484813229006[/C][C]0.00104848132290060[/C][C]-0.930397066629317[/C][/ROW]
[ROW][C]33[/C][C]1.1139[/C][C]1.11287992997156[/C][C]0.00102007002843637[/C][C]0.00102007002843637[/C][C]-0.750528895038914[/C][/ROW]
[ROW][C]34[/C][C]1.1222[/C][C]1.12117144520538[/C][C]0.00102855479461833[/C][C]0.00102855479461833[/C][C]0.224400094803468[/C][/ROW]
[ROW][C]35[/C][C]1.1692[/C][C]1.16811792781132[/C][C]0.00108207218868132[/C][C]0.00108207218868132[/C][C]1.41704710199551[/C][/ROW]
[ROW][C]36[/C][C]1.1702[/C][C]1.16911802324409[/C][C]0.00108197675591146[/C][C]0.00108197675591147[/C][C]-0.00252983641068476[/C][/ROW]
[ROW][C]37[/C][C]1.2286[/C][C]1.23183047910256[/C][C]0.000293679943058873[/C][C]-0.00323047910255836[/C][C]2.03015823521528[/C][/ROW]
[ROW][C]38[/C][C]1.2613[/C][C]1.26067982641986[/C][C]0.000620173951783961[/C][C]0.000620173580140559[/C][C]0.822743273075176[/C][/ROW]
[ROW][C]39[/C][C]1.2646[/C][C]1.26397749779210[/C][C]0.000622502207895658[/C][C]0.000622502207895656[/C][C]0.0826165150682867[/C][/ROW]
[ROW][C]40[/C][C]1.2262[/C][C]1.22561137148813[/C][C]0.000588628511868732[/C][C]0.000588628511868731[/C][C]-1.20302763429544[/C][/ROW]
[ROW][C]41[/C][C]1.1985[/C][C]1.19793590628894[/C][C]0.00056409371105703[/C][C]0.000564093711057025[/C][C]-0.872112569222154[/C][/ROW]
[ROW][C]42[/C][C]1.2007[/C][C]1.20013448869266[/C][C]0.000565511307335573[/C][C]0.000565511307335569[/C][C]0.0504335151012443[/C][/ROW]
[ROW][C]43[/C][C]1.2138[/C][C]1.21322363632272[/C][C]0.000576363677281762[/C][C]0.000576363677281757[/C][C]0.386427123844363[/C][/ROW]
[ROW][C]44[/C][C]1.2266[/C][C]1.22601306224404[/C][C]0.000586937755961629[/C][C]0.000586937755961631[/C][C]0.376843963350759[/C][/ROW]
[ROW][C]45[/C][C]1.2176[/C][C]1.21702134827402[/C][C]0.00057865172598466[/C][C]0.000578651725984655[/C][C]-0.295556974759445[/C][/ROW]
[ROW][C]46[/C][C]1.2218[/C][C]1.22121822103061[/C][C]0.000581778969395024[/C][C]0.000581778969395023[/C][C]0.111643067623664[/C][/ROW]
[ROW][C]47[/C][C]1.249[/C][C]1.24839525449216[/C][C]0.000604745507839922[/C][C]0.000604745507839924[/C][C]0.820617276699492[/C][/ROW]
[ROW][C]48[/C][C]1.2991[/C][C]1.29845258617408[/C][C]0.000647413825916506[/C][C]0.000647413825916513[/C][C]1.52589746785340[/C][/ROW]
[ROW][C]49[/C][C]1.3408[/C][C]1.34330999224743[/C][C]0.000228181150751563[/C][C]-0.00250999224743125[/C][C]1.43289733918776[/C][/ROW]
[ROW][C]50[/C][C]1.3119[/C][C]1.31195751751124[/C][C]-5.75172094124582e-05[/C][C]-5.75175112391054e-05[/C][C]-0.923787347527385[/C][/ROW]
[ROW][C]51[/C][C]1.3014[/C][C]1.30146471394875[/C][C]-6.47139487463972e-05[/C][C]-6.47139487463975e-05[/C][C]-0.321960909050973[/C][/ROW]
[ROW][C]52[/C][C]1.3201[/C][C]1.32015179059389[/C][C]-5.17905938875944e-05[/C][C]-5.17905938875955e-05[/C][C]0.578550687159317[/C][/ROW]
[ROW][C]53[/C][C]1.2938[/C][C]1.29386985542915[/C][C]-6.98554291530096e-05[/C][C]-6.98554291530128e-05[/C][C]-0.809280825252152[/C][/ROW]
[ROW][C]54[/C][C]1.2694[/C][C]1.26948658867612[/C][C]-8.65886761151433e-05[/C][C]-8.6588676115135e-05[/C][C]-0.75014351780507[/C][/ROW]
[ROW][C]55[/C][C]1.2165[/C][C]1.21662288654811[/C][C]-0.000122886548113697[/C][C]-0.000122886548113710[/C][C]-1.62833588646427[/C][/ROW]
[ROW][C]56[/C][C]1.2037[/C][C]1.20383159335556[/C][C]-0.000131593355556708[/C][C]-0.000131593355556709[/C][C]-0.390859123249421[/C][/ROW]
[ROW][C]57[/C][C]1.2292[/C][C]1.2293140013242[/C][C]-0.000114001324198682[/C][C]-0.000114001324198687[/C][C]0.790270159476723[/C][/ROW]
[ROW][C]58[/C][C]1.2256[/C][C]1.22571639226945[/C][C]-0.000116392269450691[/C][C]-0.000116392269450689[/C][C]-0.107479911221673[/C][/ROW]
[ROW][C]59[/C][C]1.2015[/C][C]1.20163283065485[/C][C]-0.000132830654854464[/C][C]-0.000132830654854457[/C][C]-0.739460015823206[/C][/ROW]
[ROW][C]60[/C][C]1.1786[/C][C]1.17874842460423[/C][C]-0.000148424604234408[/C][C]-0.000148424604234397[/C][C]-0.701955083145818[/C][/ROW]
[ROW][C]61[/C][C]1.1856[/C][C]1.18355654658199[/C][C]-0.000185768447181241[/C][C]0.00204345341800604[/C][C]0.159080800000323[/C][/ROW]
[ROW][C]62[/C][C]1.2103[/C][C]1.21028434338108[/C][C]1.56572096051783e-05[/C][C]1.56566189187376e-05[/C][C]0.794887083394606[/C][/ROW]
[ROW][C]63[/C][C]1.1938[/C][C]1.19379377490366[/C][C]6.22509633846648e-06[/C][C]6.22509633846237e-06[/C][C]-0.509238108595697[/C][/ROW]
[ROW][C]64[/C][C]1.202[/C][C]1.20198909809232[/C][C]1.09019076806727e-05[/C][C]1.09019076806693e-05[/C][C]0.252644075485236[/C][/ROW]
[ROW][C]65[/C][C]1.2271[/C][C]1.22707478600235[/C][C]2.52139976462872e-05[/C][C]2.52139976462837e-05[/C][C]0.77358886463599[/C][/ROW]
[ROW][C]66[/C][C]1.277[/C][C]1.27694635112362[/C][C]5.36488763778315e-05[/C][C]5.36488763778158e-05[/C][C]1.53782273133959[/C][/ROW]
[ROW][C]67[/C][C]1.265[/C][C]1.26495321929842[/C][C]4.67807015782706e-05[/C][C]4.67807015782585e-05[/C][C]-0.371658301438412[/C][/ROW]
[ROW][C]68[/C][C]1.2684[/C][C]1.26835130972057[/C][C]4.86902794334402e-05[/C][C]4.86902794334381e-05[/C][C]0.103392093456135[/C][/ROW]
[ROW][C]69[/C][C]1.2811[/C][C]1.28104410920405[/C][C]5.58907959477543e-05[/C][C]5.58907959477515e-05[/C][C]0.390086508713718[/C][/ROW]
[ROW][C]70[/C][C]1.2727[/C][C]1.27264891915247[/C][C]5.10808475273547e-05[/C][C]5.10808475273545e-05[/C][C]-0.260726322077641[/C][/ROW]
[ROW][C]71[/C][C]1.2611[/C][C]1.26105554284708[/C][C]4.44571529172106e-05[/C][C]4.44571529172181e-05[/C][C]-0.359245882233398[/C][/ROW]
[ROW][C]72[/C][C]1.2881[/C][C]1.28804022720040[/C][C]5.97727995974264e-05[/C][C]5.97727995974367e-05[/C][C]0.831139141747973[/C][/ROW]
[ROW][C]73[/C][C]1.3213[/C][C]1.31977953232277[/C][C]-0.000138224269761954[/C][C]0.00152046767723252[/C][C]1.01010353885725[/C][/ROW]
[ROW][C]74[/C][C]1.2999[/C][C]1.30016253715576[/C][C]-0.000262536511629337[/C][C]-0.000262537155756682[/C][C]-0.579149806124275[/C][/ROW]
[ROW][C]75[/C][C]1.3074[/C][C]1.30765875176239[/C][C]-0.00025875176239054[/C][C]-0.000258751762390547[/C][C]0.239357361856446[/C][/ROW]
[ROW][C]76[/C][C]1.3242[/C][C]1.32445043853225[/C][C]-0.000250438532250292[/C][C]-0.000250438532250294[/C][C]0.526005722246638[/C][/ROW]
[ROW][C]77[/C][C]1.3516[/C][C]1.35183697022595[/C][C]-0.000236970225948186[/C][C]-0.000236970225948189[/C][C]0.852599933467548[/C][/ROW]
[ROW][C]78[/C][C]1.3511[/C][C]1.35133709828326[/C][C]-0.000237098283260704[/C][C]-0.000237098283260719[/C][C]-0.00811051131064872[/C][/ROW]
[ROW][C]79[/C][C]1.3419[/C][C]1.34214145979171[/C][C]-0.000241459791714629[/C][C]-0.000241459791714642[/C][C]-0.276370706043170[/C][/ROW]
[ROW][C]80[/C][C]1.3716[/C][C]1.37182689682788[/C][C]-0.000226896827884425[/C][C]-0.000226896827884425[/C][C]0.923243791336669[/C][/ROW]
[ROW][C]81[/C][C]1.3622[/C][C]1.36243135628403[/C][C]-0.000231356284027731[/C][C]-0.000231356284027736[/C][C]-0.282852326226023[/C][/ROW]
[ROW][C]82[/C][C]1.3896[/C][C]1.38981792997178[/C][C]-0.000217929971779064[/C][C]-0.000217929971779063[/C][C]0.85201203765279[/C][/ROW]
[ROW][C]83[/C][C]1.4227[/C][C]1.42290174836754[/C][C]-0.000201748367538827[/C][C]-0.000201748367538817[/C][C]1.02735748709004[/C][/ROW]
[ROW][C]84[/C][C]1.4684[/C][C]1.46857946596999[/C][C]-0.000179465969991662[/C][C]-0.000179465969991654[/C][C]1.41537936052940[/C][/ROW]
[ROW][C]85[/C][C]1.457[/C][C]1.45576785886849[/C][C]-0.000112012792309105[/C][C]0.00123214113150733[/C][C]-0.400885417667154[/C][/ROW]
[ROW][C]86[/C][C]1.4718[/C][C]1.47182208552311[/C][C]-2.20850528384655e-05[/C][C]-2.20855231064326e-05[/C][C]0.483015563945238[/C][/ROW]
[ROW][C]87[/C][C]1.4748[/C][C]1.47482079960929[/C][C]-2.07996092865899e-05[/C][C]-2.07996092865991e-05[/C][C]0.0931887102666743[/C][/ROW]
[ROW][C]88[/C][C]1.5527[/C][C]1.55268767002548[/C][C]1.23299745226668e-05[/C][C]1.23299745226656e-05[/C][C]2.40275850807065[/C][/ROW]
[ROW][C]89[/C][C]1.575[/C][C]1.57497819800476[/C][C]2.18019952362484e-05[/C][C]2.1801995236246e-05[/C][C]0.687260575964102[/C][/ROW]
[ROW][C]90[/C][C]1.5557[/C][C]1.55568640607503[/C][C]1.35939249668178e-05[/C][C]1.35939249668084e-05[/C][C]-0.595805391588276[/C][/ROW]
[ROW][C]91[/C][C]1.5553[/C][C]1.55528658169874[/C][C]1.34183012611066e-05[/C][C]1.34183012610881e-05[/C][C]-0.0127535471442651[/C][/ROW]
[ROW][C]92[/C][C]1.577[/C][C]1.57697737686998[/C][C]2.26231300223300e-05[/C][C]2.26231300223298e-05[/C][C]0.668725651736666[/C][/ROW]
[ROW][C]93[/C][C]1.4975[/C][C]1.49751111577719[/C][C]-1.11157771902430e-05[/C][C]-1.11157771902597e-05[/C][C]-2.45215329503835[/C][/ROW]
[ROW][C]94[/C][C]1.4369[/C][C]1.43693681080259[/C][C]-3.68108025855725e-05[/C][C]-3.68108025855654e-05[/C][C]-1.86831419303888[/C][/ROW]
[ROW][C]95[/C][C]1.3322[/C][C]1.33228117840090[/C][C]-8.11784009049724e-05[/C][C]-8.11784009049554e-05[/C][C]-3.22738637555187[/C][/ROW]
[ROW][C]96[/C][C]1.2732[/C][C]1.27330614399737[/C][C]-0.000106143997373435[/C][C]-0.000106143997373419[/C][C]-1.81681659651114[/C][/ROW]
[ROW][C]97[/C][C]1.3449[/C][C]1.34029250321298[/C][C]-0.000418863275201434[/C][C]0.00460749678701518[/C][C]2.12168274049330[/C][/ROW]
[ROW][C]98[/C][C]1.3239[/C][C]1.32439517043736[/C][C]-0.000495169729131669[/C][C]-0.000495170437359888[/C][C]-0.464198006944616[/C][/ROW]
[ROW][C]99[/C][C]1.2785[/C][C]1.27901210851334[/C][C]-0.00051210851334077[/C][C]-0.000512108513340797[/C][C]-1.38471439959318[/C][/ROW]
[ROW][C]100[/C][C]1.305[/C][C]1.30550192295480[/C][C]-0.000501922954796684[/C][C]-0.000501922954796686[/C][C]0.832962897304774[/C][/ROW]
[ROW][C]101[/C][C]1.319[/C][C]1.3194964567207[/C][C]-0.000496456720698833[/C][C]-0.000496456720698833[/C][C]0.447190733508145[/C][/ROW]
[ROW][C]102[/C][C]1.365[/C][C]1.36547893733704[/C][C]-0.000478937337035333[/C][C]-0.000478937337035358[/C][C]1.43379509933716[/C][/ROW]
[ROW][C]103[/C][C]1.4016[/C][C]1.40206497163934[/C][C]-0.000464971639336542[/C][C]-0.000464971639336559[/C][C]1.14339040360970[/C][/ROW]
[ROW][C]104[/C][C]1.4088[/C][C]1.40926208573211[/C][C]-0.000462085732113682[/C][C]-0.000462085732113683[/C][C]0.236362103863591[/C][/ROW]
[ROW][C]105[/C][C]1.4268[/C][C]1.42725513726362[/C][C]-0.000455137263621688[/C][C]-0.000455137263621696[/C][C]0.569309051615043[/C][/ROW]
[ROW][C]106[/C][C]1.4562[/C][C]1.45664390508557[/C][C]-0.000443905085569105[/C][C]-0.000443905085569103[/C][C]0.920632767706364[/C][/ROW]
[ROW][C]107[/C][C]1.4816[/C][C]1.48203418568047[/C][C]-0.000434185680468259[/C][C]-0.000434185680468246[/C][C]0.796939814445722[/C][/ROW]
[ROW][C]108[/C][C]1.4914[/C][C]1.49183033824327[/C][C]-0.000430338243272688[/C][C]-0.000430338243272666[/C][C]0.315588166222294[/C][/ROW]
[ROW][C]109[/C][C]1.4614[/C][C]1.45817752628093[/C][C]-0.000292952082180122[/C][C]0.00322247371907478[/C][C]-1.04770908504202[/C][/ROW]
[ROW][C]110[/C][C]1.4272[/C][C]1.42762688198742[/C][C]-0.000426881272697738[/C][C]-0.000426881987422614[/C][C]-0.910106933769154[/C][/ROW]
[ROW][C]111[/C][C]1.3686[/C][C]1.36904659423600[/C][C]-0.000446594236002106[/C][C]-0.000446594236002148[/C][C]-1.79389832891346[/C][/ROW]
[ROW][C]112[/C][C]1.3569[/C][C]1.35735040636418[/C][C]-0.000450406364182928[/C][C]-0.000450406364182928[/C][C]-0.347023970123027[/C][/ROW]
[ROW][C]113[/C][C]1.3406[/C][C]1.34105577364792[/C][C]-0.000455773647923225[/C][C]-0.000455773647923226[/C][C]-0.488757744923583[/C][/ROW]
[ROW][C]114[/C][C]1.2565[/C][C]1.25698408922047[/C][C]-0.000484089220465286[/C][C]-0.000484089220465286[/C][C]-2.57935734701830[/C][/ROW]
[ROW][C]115[/C][C]1.2208[/C][C]1.22129600661479[/C][C]-0.000496006614790545[/C][C]-0.000496006614790565[/C][C]-1.08596166606329[/C][/ROW]
[ROW][C]116[/C][C]1.277[/C][C]1.27747682664536[/C][C]-0.00047682664535952[/C][C]-0.000476826645359518[/C][C]1.74834874251846[/C][/ROW]
[ROW][C]117[/C][C]1.2894[/C][C]1.28987247195385[/C][C]-0.000472471953850926[/C][C]-0.000472471953850936[/C][C]0.397085902614751[/C][/ROW]
[ROW][C]118[/C][C]1.3067[/C][C]1.30716646368251[/C][C]-0.00046646368250685[/C][C]-0.000466463682506847[/C][C]0.548054164694782[/C][/ROW]
[ROW][C]119[/C][C]1.3898[/C][C]1.39023822223652[/C][C]-0.000438222236516553[/C][C]-0.000438222236516546[/C][C]2.57696009795879[/C][/ROW]
[ROW][C]120[/C][C]1.3661[/C][C]1.36654608094287[/C][C]-0.000446080942870452[/C][C]-0.000446080942870432[/C][C]-0.717329343443493[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=115604&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=115604&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	0.8973	0.8973	0	0	0
2	0.9383	0.936168000075857	0.00213199998160767	0.00213199992414349	0.719789379959892
3	0.9217	0.919642629485343	0.00205737051465687	0.00205737051465687	-0.576589013356853
4	0.9095	0.907499206351308	0.00200079364869197	0.00200079364869197	-0.43885908541227
5	0.892	0.890076284585504	0.00192371541449609	0.00192371541449609	-0.600262709021044
6	0.8742	0.87235393700682	0.00184606299317954	0.00184606299317955	-0.60712930680806
7	0.8532	0.851443529408905	0.00175647059109495	0.00175647059109495	-0.70324589433565
8	0.8607	0.858921093747603	0.00177890625239694	0.00177890625239694	0.176798275288377
9	0.9005	0.898573151751551	0.00192684824844891	0.00192684824844891	1.17038054590496
10	0.9111	0.909139534884968	0.00196046511503164	0.00196046511503164	0.266982454359909
11	0.9059	0.903967181467874	0.00193281853212590	0.00193281853212590	-0.22041963125948
12	0.8883	0.886442307691509	0.00185769230849109	0.00185769230849110	-0.601280598491724
13	0.8924	0.90504278200202	0.00114934384135221	-0.0126427820020193	0.625104324837924
14	0.8833	0.882718909243836	0.000581090917622456	0.00058109075616367	-0.617150691080449
15	0.87	0.869444101612688	0.000555898387311558	0.000555898387311558	-0.427738378143892
16	0.8758	0.875234601429086	0.00056539857091401	0.000565398570914008	0.161594444562762
17	0.8858	0.885217540667866	0.000582459332134159	0.000582459332134158	0.290723138479871
18	0.917	0.916362274351744	0.000637725648255614	0.000637725648255613	0.943467737986584
19	0.9554	0.954694234221186	0.000705765778814193	0.000705765778814188	1.16363185376618
20	0.9922	0.991429316536984	0.000770683463016112	0.000770683463016116	1.11223356048264
21	0.9778	0.977056552951177	0.000743447048822653	0.000743447048822651	-0.467481051705424
22	0.9808	0.980052508949674	0.000747491050325773	0.000747491050325774	0.0695352618423683
23	0.9811	0.980353309470297	0.00074669052970311	0.00074669052970311	-0.0137893760960925
24	1.0014	1.00061839284798	0.000781607152023652	0.000781607152023657	0.602533546637026
25	1.0183	1.02236725398745	0.000369750381056052	-0.00406725398745186	0.713132395721076
26	1.0622	1.06123235325218	0.00096764709214039	0.000967646747823025	1.07923218202040
27	1.0773	1.07631574616116	0.000984253838836316	0.000984253838836316	0.435620405996686
28	1.0807	1.07971291077858	0.000987089221424175	0.000987089221424176	0.0744638262205396
29	1.0848	1.08380926141102	0.00099073858898093	0.000990738588980925	0.0959535445590255
30	1.1582	1.15712447305558	0.001075526944415	0.00107552694441500	2.23197211870050
31	1.1663	1.16521625729829	0.00108374270170946	0.00108374270170946	0.216525323582058
32	1.1372	1.1361515186771	0.0010484813229006	0.00104848132290060	-0.930397066629317
33	1.1139	1.11287992997156	0.00102007002843637	0.00102007002843637	-0.750528895038914
34	1.1222	1.12117144520538	0.00102855479461833	0.00102855479461833	0.224400094803468
35	1.1692	1.16811792781132	0.00108207218868132	0.00108207218868132	1.41704710199551
36	1.1702	1.16911802324409	0.00108197675591146	0.00108197675591147	-0.00252983641068476
37	1.2286	1.23183047910256	0.000293679943058873	-0.00323047910255836	2.03015823521528
38	1.2613	1.26067982641986	0.000620173951783961	0.000620173580140559	0.822743273075176
39	1.2646	1.26397749779210	0.000622502207895658	0.000622502207895656	0.0826165150682867
40	1.2262	1.22561137148813	0.000588628511868732	0.000588628511868731	-1.20302763429544
41	1.1985	1.19793590628894	0.00056409371105703	0.000564093711057025	-0.872112569222154
42	1.2007	1.20013448869266	0.000565511307335573	0.000565511307335569	0.0504335151012443
43	1.2138	1.21322363632272	0.000576363677281762	0.000576363677281757	0.386427123844363
44	1.2266	1.22601306224404	0.000586937755961629	0.000586937755961631	0.376843963350759
45	1.2176	1.21702134827402	0.00057865172598466	0.000578651725984655	-0.295556974759445
46	1.2218	1.22121822103061	0.000581778969395024	0.000581778969395023	0.111643067623664
47	1.249	1.24839525449216	0.000604745507839922	0.000604745507839924	0.820617276699492
48	1.2991	1.29845258617408	0.000647413825916506	0.000647413825916513	1.52589746785340
49	1.3408	1.34330999224743	0.000228181150751563	-0.00250999224743125	1.43289733918776
50	1.3119	1.31195751751124	-5.75172094124582e-05	-5.75175112391054e-05	-0.923787347527385
51	1.3014	1.30146471394875	-6.47139487463972e-05	-6.47139487463975e-05	-0.321960909050973
52	1.3201	1.32015179059389	-5.17905938875944e-05	-5.17905938875955e-05	0.578550687159317
53	1.2938	1.29386985542915	-6.98554291530096e-05	-6.98554291530128e-05	-0.809280825252152
54	1.2694	1.26948658867612	-8.65886761151433e-05	-8.6588676115135e-05	-0.75014351780507
55	1.2165	1.21662288654811	-0.000122886548113697	-0.000122886548113710	-1.62833588646427
56	1.2037	1.20383159335556	-0.000131593355556708	-0.000131593355556709	-0.390859123249421
57	1.2292	1.2293140013242	-0.000114001324198682	-0.000114001324198687	0.790270159476723
58	1.2256	1.22571639226945	-0.000116392269450691	-0.000116392269450689	-0.107479911221673
59	1.2015	1.20163283065485	-0.000132830654854464	-0.000132830654854457	-0.739460015823206
60	1.1786	1.17874842460423	-0.000148424604234408	-0.000148424604234397	-0.701955083145818
61	1.1856	1.18355654658199	-0.000185768447181241	0.00204345341800604	0.159080800000323
62	1.2103	1.21028434338108	1.56572096051783e-05	1.56566189187376e-05	0.794887083394606
63	1.1938	1.19379377490366	6.22509633846648e-06	6.22509633846237e-06	-0.509238108595697
64	1.202	1.20198909809232	1.09019076806727e-05	1.09019076806693e-05	0.252644075485236
65	1.2271	1.22707478600235	2.52139976462872e-05	2.52139976462837e-05	0.77358886463599
66	1.277	1.27694635112362	5.36488763778315e-05	5.36488763778158e-05	1.53782273133959
67	1.265	1.26495321929842	4.67807015782706e-05	4.67807015782585e-05	-0.371658301438412
68	1.2684	1.26835130972057	4.86902794334402e-05	4.86902794334381e-05	0.103392093456135
69	1.2811	1.28104410920405	5.58907959477543e-05	5.58907959477515e-05	0.390086508713718
70	1.2727	1.27264891915247	5.10808475273547e-05	5.10808475273545e-05	-0.260726322077641
71	1.2611	1.26105554284708	4.44571529172106e-05	4.44571529172181e-05	-0.359245882233398
72	1.2881	1.28804022720040	5.97727995974264e-05	5.97727995974367e-05	0.831139141747973
73	1.3213	1.31977953232277	-0.000138224269761954	0.00152046767723252	1.01010353885725
74	1.2999	1.30016253715576	-0.000262536511629337	-0.000262537155756682	-0.579149806124275
75	1.3074	1.30765875176239	-0.00025875176239054	-0.000258751762390547	0.239357361856446
76	1.3242	1.32445043853225	-0.000250438532250292	-0.000250438532250294	0.526005722246638
77	1.3516	1.35183697022595	-0.000236970225948186	-0.000236970225948189	0.852599933467548
78	1.3511	1.35133709828326	-0.000237098283260704	-0.000237098283260719	-0.00811051131064872
79	1.3419	1.34214145979171	-0.000241459791714629	-0.000241459791714642	-0.276370706043170
80	1.3716	1.37182689682788	-0.000226896827884425	-0.000226896827884425	0.923243791336669
81	1.3622	1.36243135628403	-0.000231356284027731	-0.000231356284027736	-0.282852326226023
82	1.3896	1.38981792997178	-0.000217929971779064	-0.000217929971779063	0.85201203765279
83	1.4227	1.42290174836754	-0.000201748367538827	-0.000201748367538817	1.02735748709004
84	1.4684	1.46857946596999	-0.000179465969991662	-0.000179465969991654	1.41537936052940
85	1.457	1.45576785886849	-0.000112012792309105	0.00123214113150733	-0.400885417667154
86	1.4718	1.47182208552311	-2.20850528384655e-05	-2.20855231064326e-05	0.483015563945238
87	1.4748	1.47482079960929	-2.07996092865899e-05	-2.07996092865991e-05	0.0931887102666743
88	1.5527	1.55268767002548	1.23299745226668e-05	1.23299745226656e-05	2.40275850807065
89	1.575	1.57497819800476	2.18019952362484e-05	2.1801995236246e-05	0.687260575964102
90	1.5557	1.55568640607503	1.35939249668178e-05	1.35939249668084e-05	-0.595805391588276
91	1.5553	1.55528658169874	1.34183012611066e-05	1.34183012610881e-05	-0.0127535471442651
92	1.577	1.57697737686998	2.26231300223300e-05	2.26231300223298e-05	0.668725651736666
93	1.4975	1.49751111577719	-1.11157771902430e-05	-1.11157771902597e-05	-2.45215329503835
94	1.4369	1.43693681080259	-3.68108025855725e-05	-3.68108025855654e-05	-1.86831419303888
95	1.3322	1.33228117840090	-8.11784009049724e-05	-8.11784009049554e-05	-3.22738637555187
96	1.2732	1.27330614399737	-0.000106143997373435	-0.000106143997373419	-1.81681659651114
97	1.3449	1.34029250321298	-0.000418863275201434	0.00460749678701518	2.12168274049330
98	1.3239	1.32439517043736	-0.000495169729131669	-0.000495170437359888	-0.464198006944616
99	1.2785	1.27901210851334	-0.00051210851334077	-0.000512108513340797	-1.38471439959318
100	1.305	1.30550192295480	-0.000501922954796684	-0.000501922954796686	0.832962897304774
101	1.319	1.3194964567207	-0.000496456720698833	-0.000496456720698833	0.447190733508145
102	1.365	1.36547893733704	-0.000478937337035333	-0.000478937337035358	1.43379509933716
103	1.4016	1.40206497163934	-0.000464971639336542	-0.000464971639336559	1.14339040360970
104	1.4088	1.40926208573211	-0.000462085732113682	-0.000462085732113683	0.236362103863591
105	1.4268	1.42725513726362	-0.000455137263621688	-0.000455137263621696	0.569309051615043
106	1.4562	1.45664390508557	-0.000443905085569105	-0.000443905085569103	0.920632767706364
107	1.4816	1.48203418568047	-0.000434185680468259	-0.000434185680468246	0.796939814445722
108	1.4914	1.49183033824327	-0.000430338243272688	-0.000430338243272666	0.315588166222294
109	1.4614	1.45817752628093	-0.000292952082180122	0.00322247371907478	-1.04770908504202
110	1.4272	1.42762688198742	-0.000426881272697738	-0.000426881987422614	-0.910106933769154
111	1.3686	1.36904659423600	-0.000446594236002106	-0.000446594236002148	-1.79389832891346
112	1.3569	1.35735040636418	-0.000450406364182928	-0.000450406364182928	-0.347023970123027
113	1.3406	1.34105577364792	-0.000455773647923225	-0.000455773647923226	-0.488757744923583
114	1.2565	1.25698408922047	-0.000484089220465286	-0.000484089220465286	-2.57935734701830
115	1.2208	1.22129600661479	-0.000496006614790545	-0.000496006614790565	-1.08596166606329
116	1.277	1.27747682664536	-0.00047682664535952	-0.000476826645359518	1.74834874251846
117	1.2894	1.28987247195385	-0.000472471953850926	-0.000472471953850936	0.397085902614751
118	1.3067	1.30716646368251	-0.00046646368250685	-0.000466463682506847	0.548054164694782
119	1.3898	1.39023822223652	-0.000438222236516553	-0.000438222236516546	2.57696009795879
120	1.3661	1.36654608094287	-0.000446080942870452	-0.000446080942870432	-0.717329343443493

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$resid)
myfit <- mylevel+myseas
bitmap(file='test1.png')
plot(as.numeric(m$resid),main='Standardized Residuals',ylab='Residuals',xlab='time')
grid()
dev.off()
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='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