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rwasp_structuraltimeseries.wasp

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Structural Time Series Models

Date of computation

Wed, 10 Dec 2014 15:53:05 +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/2014/Dec/10/t1418226901vg2wl2h3jqlayzw.htm/, Retrieved Sun, 12 May 2024 05:11:10 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=265436, Retrieved Sun, 12 May 2024 05:11:10 +0000

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Estimated Impact

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

-     [Univariate Explorative Data Analysis] [Run Sequence gebo...] [2008-12-12 13:32:37] [76963dc1903f0f612b6153510a3818cf]
- R  D  [Univariate Explorative Data Analysis] [Run Sequence gebo...] [2008-12-17 12:14:40] [76963dc1903f0f612b6153510a3818cf]
-         [Univariate Explorative Data Analysis] [Run Sequence Plot...] [2008-12-22 18:19:51] [1ce0d16c8f4225c977b42c8fa93bc163]
- RMP       [Univariate Data Series] [Identifying Integ...] [2009-11-22 12:08:06] [b98453cac15ba1066b407e146608df68]
- RMP         [Decomposition by Loess] [Births] [2010-11-30 13:47:21] [b98453cac15ba1066b407e146608df68]
- RM            [Decomposition by Loess] [WS8 Q2] [2014-11-19 14:27:37] [bcf5edf18529a33bd1494456d2c6cb9a]
- RMPD              [Structural Time Series Models] [structural time s...] [2014-12-10 15:53:05] [0ce3062f3159e08d115eba7e96d082ef] [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	3 seconds
R Server	'Gertrude Mary Cox' @ cox.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 3 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=265436&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=265436&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=265436&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	3 seconds
R Server	'Gertrude Mary Cox' @ cox.wessa.net

Structural Time Series Model
t	Observed	Level	Slope	Seasonal	Stand. Residuals
1	1894	1894	0	0	0
2	1757	1809.08838043599	-89.2164442688351	-52.0883804359902	-0.216528216692585
3	3582	3048.06986404327	763.618400449359	533.930135956726	1.68787853153901
4	5321	4960.25968402736	1535.95129818429	360.740315972637	1.59276428046062
5	5561	5907.62268548542	1141.85251891371	-346.622685485423	-0.755469019246534
6	5907	6140.59634343169	544.038385257328	-233.596343431691	-1.15484343423436
7	4944	5314.77513873109	-359.602946246611	-370.775138731087	-1.75210414842538
8	4966	4815.1949374762	-452.15439723753	150.8050625238	-0.179127260257805
9	3258	3521.48593779214	-1008.68896487965	-263.485937792145	-1.07703354875949
10	1964	2013.42183456957	-1338.86650692641	-49.4218345695654	-0.639022877668424
11	1743	1379.29379302811	-873.008698468655	363.706206971891	0.901590605199188
12	1262	1089.86706043023	-487.269272062603	172.132939569772	0.746532407325054
13	2086	1779.9222927852	288.209980063277	306.077707214802	1.50653284595056
14	1793	2391.64882926883	502.26595982438	-598.648829268826	0.421063294567473
15	3548	3345.60135085462	793.012791069386	202.398649145376	0.557838221276706
16	5672	4935.80267323795	1299.01823232346	736.197326762051	0.993603103970565
17	6084	6238.8264464102	1301.59262858949	-154.8264464102	0.00501426890307468
18	4914	5537.39382653407	22.404185390149	-623.393826534074	-2.46515932012154
19	4990	5279.1577233312	-155.983430532195	-289.1577233312	-0.34514761085098
20	5139	4764.37852740695	-384.455163228124	374.621472593054	-0.442533788089605
21	3218	3524.5161811555	-929.883583829941	-306.516181155505	-1.05555607605861
22	2179	2373.49882472275	-1070.90195627193	-194.498824722746	-0.27292255824044
23	2238	1800.85798277085	-753.324958022511	437.14201722915	0.61464460700701
24	1442	1473.59650907727	-482.091929450057	-31.5965090772668	0.525186362510261
25	2205	1725.01795423017	-15.0047210986643	479.982045769826	0.906874612736889
26	2025	2600.56695192384	552.853476303767	-575.566951923842	1.10087152996571
27	3531	3654.88817986987	869.99227161533	-123.888179869871	0.611903535998148
28	4977	4363.63872256902	768.594242543618	613.361277430981	-0.196978226706696
29	7998	6836.37042970527	1845.70804065554	1161.62957029473	2.0943480596657
30	4880	6460.7255043072	441.564908945852	-1580.7255043072	-2.7140647710296
31	5231	5661.24747437538	-340.08348426153	-430.247474375384	-1.51061166543131
32	5202	4648.34886556562	-763.720883370879	553.651134434377	-0.820042438605273
33	3303	3555.07687917347	-971.466874749921	-252.076879173466	-0.402116693387562
34	2683	2837.92015139828	-811.09196453216	-154.920151398279	0.310378510259595
35	2202	1892.5610584594	-895.729027855034	309.438941540599	-0.163817691446183
36	1376	1434.25674494013	-620.098339421817	-58.2567449401302	0.53386680348339
37	2422	1866.35636413478	43.4400320286862	555.643635865216	1.28628754734407
38	1997	2587.46970485518	470.70375675946	-590.469704855181	0.826841923598995
39	3163	3401.96899558555	686.562887297715	-238.968995585555	0.417147347536772
40	5964	5528.35501519099	1588.26213643665	435.644984809008	1.74784234029213
41	5657	4730.5663285692	90.43038250161	926.4336714308	-2.9069106088362
42	6415	6665.1133083519	1249.33447208696	-250.113308351903	2.24292927105289
43	6208	6927.50843981009	630.262324214618	-719.508439810087	-1.19671872670618
44	4500	4767.4606075667	-1118.16621092943	-267.4606075667	-3.38258108618914
45	2939	3172.57783627558	-1416.99728341756	-233.577836275578	-0.578387315699709
46	2702	2445.22165804299	-984.540825949081	256.77834195701	0.837050009547703
47	2090	1803.23975572152	-769.745587102932	286.760244278478	0.415828318731671
48	1504	1660.73212734957	-376.386053769396	-156.732127349567	0.761868124133676
49	2549	1990.39964602107	66.6563289106039	558.600353978929	0.858088713508207
50	1931	2608.53068543848	412.48439730558	-677.53068543848	0.66899614232737
51	3013	3548.4750153775	742.413227819251	-535.475015377498	0.637973938426433
52	6204	4942.18776942307	1149.23719679098	1261.81223057693	0.78804831959246
53	5788	5847.48420007538	996.657411908307	-59.4842000753822	-0.29583456722905
54	5611	5784.139844556	332.943098776981	-173.139844556002	-1.28507002359164
55	5594	5398.11466713138	-116.821838913558	195.885332868622	-0.869787814270106
56	4647	4835.83694186429	-395.166174801889	-188.836941864292	-0.538386376736472
57	3490	4037.79331181353	-646.847427453273	-547.793311813531	-0.487065959218473
58	2487	2566.29080778241	-1162.11166149677	-79.2908077824117	-0.997456856842565
59	1992	1702.76455830276	-975.510598827429	289.235441697237	0.3613140387338
60	1507	1584.07294325534	-439.830676771279	-77.0729432553362	1.03741852408907
61	2306	1774.17164794509	-45.8707270351032	531.828352054913	0.762691090996016
62	2002	2655.10495595921	533.329214014642	-653.104955959213	1.12035997981018
63	3075	3788.30916880726	907.559451610679	-713.309168807264	0.723841391435108
64	5331	4231.84616191312	618.328376925709	1099.15383808688	-0.560105567673651
65	5589	5151.41336331559	806.263095660511	437.586636684411	0.364202457030348
66	5813	5846.19383929623	736.649296699767	-33.193839296226	-0.134799271421131
67	4876	5078.07939835535	-202.541994843584	-202.079398355349	-1.8167924972651
68	4665	4600.1338924817	-374.252043848668	64.8661075182965	-0.33211957845133
69	3601	3880.2787781149	-589.60786674187	-279.278778114899	-0.416726924592668
70	2192	2565.77380513652	-1041.32259801611	-373.77380513652	-0.874495010694896
71	2111	1890.76301432962	-812.979070907695	220.236985670385	0.442187936577076
72	1580	1697.96816033344	-426.194901143166	-117.968160333438	0.749000786689019
73	2288	1930.44342461138	-15.3400836429765	357.55657538862	0.795228477745135
74	1993	2636.50774946889	434.310554442099	-643.507749468887	0.86977254529707
75	3228	3678.64618762433	812.666705554361	-450.646187624334	0.731930222678472
76	5000	4249.88730227107	662.473184177016	750.112697728925	-0.290813697435136
77	5480	4959.11057208796	691.57635838125	520.889427912036	0.0563835027431234
78	5770	5388.55170643428	528.266124849259	381.448293565723	-0.316232935929128
79	4962	5283.58853322573	133.861634987973	-321.588533225726	-0.763075111639701
80	4685	4644.98319747885	-346.81699168505	40.0168025211534	-0.929753751910267
81	3607	3712.55355637697	-710.963657068427	-105.553556376971	-0.70460993697315
82	2222	2737.32479606553	-875.274817450085	-515.32479606553	-0.318102643498641
83	2467	2271.41899163007	-620.641852981752	195.581008369932	0.493116316910315
84	1594	1896.87053972015	-467.491071782073	-302.870539720155	0.296555186578753
85	2228	1982.32216346215	-123.354328186336	245.677836537852	0.666024114255382
86	1910	2568.34608981933	317.827647657348	-658.346089819334	0.853416890621681
87	3157	3425.90847011112	653.145240041242	-268.90847011112	0.648728806344753
88	4809	4154.85778555953	700.219527759209	654.142214440466	0.0911403431309937
89	6249	5459.08006840338	1075.50540844072	789.919931596624	0.726932376263585
90	4607	4713.31352075369	-56.8412517786487	-106.313520753689	-2.19259576296417
91	4975	4787.11095200056	24.3701799032697	187.889047999438	0.157139646460872
92	4784	4588.60491897319	-114.067526114886	195.395081026811	-0.2677872916229
93	3028	3382.00125456323	-792.18408430315	-354.001254563235	-1.31210428673968
94	2461	2877.34071368992	-613.750227439413	-416.340713689917	0.34543954715945
95	2218	2144.41312667722	-687.739759667599	73.5868733227813	-0.143284989315093
96	1351	1735.73190014609	-514.405052896506	-384.731900146089	0.335620891068544
97	2070	1888.55103156473	-99.9544293654216	181.448968435274	0.802068811489549
98	1887	2560.06548152772	378.929094143187	-673.065481527719	0.926382961992347
99	3024	3345.65740970475	631.136117120872	-321.657409704754	0.487965192236348
100	4596	4096.62931030521	705.4321086516	499.370689694786	0.143835685173949
101	6398	4935.9585755297	788.482966462331	1462.0414244703	0.160849158215233
102	4459	4949.33104380843	307.445460269727	-490.331043808431	-0.931404257648539
103	5382	5063.01017554105	187.202538215894	318.989824458948	-0.232677103783089
104	4359	4142.24775658569	-499.86307161974	216.752243414309	-1.32909965585818
105	2687	3176.44736539605	-788.591455632541	-489.447365396048	-0.558667675775332
106	2249	2494.63226941028	-722.436689734997	-245.632269410275	0.128069158279367
107	2154	2060.57590170773	-543.700041574982	93.424098292271	0.346120753020833
108	1169	1744.75006156316	-402.399740022507	-575.750061563159	0.273580951610447
109	2429	2240.45876355988	154.501153002505	188.541236440118	1.07772789595826
110	1762	2612.01831124216	289.013428870104	-850.01831124216	0.260220325651241
111	2846	3189.24798423683	467.485598216027	-343.247984236831	0.34531865446901
112	5627	4811.85645738748	1182.57951976071	815.143542612519	1.38434483762707
113	5749	4637.94842563993	342.507864696509	1111.05157436007	-1.62684638093375
114	4502	4825.05245871224	246.219704990167	-323.052458712236	-0.186427992500327
115	5720	4977.00987292183	187.817558510491	742.99012707817	-0.113015679304669
116	4403	4290.68211807736	-353.442037978113	112.317881922636	-1.04709903673015
117	2867	3460.91325269764	-648.182989692413	-593.913252697638	-0.570307652113895
118	2635	2883.15199302175	-604.615364449787	-248.151993021751	0.0843400269723637
119	2059	2121.87279564873	-701.570892863281	-62.8727956487265	-0.187743223244766
120	1511	2128.93464246038	-262.8306089573	-617.934642460384	0.849436312917602
121	2359	2199.8898967176	-56.1728233221151	159.110103282402	0.399927742237299
122	1741	2659.32309935207	262.881994309996	-918.323099352065	0.617253205641011
123	2917	3496.4571872666	617.990493142865	-579.457187266601	0.687107299608216
124	6249	4762.3843737375	1018.57360693979	1486.6156262625	0.775455655704204
125	5760	4979.10978294276	522.67257662593	780.890217057244	-0.960259225566432
126	6250	6196.45116638723	952.470330222245	53.5488336127749	0.83211222990428
127	5134	4901.61588766256	-437.917853708548	232.384112337442	-2.6906444055114
128	4831	4367.57755208884	-497.354789416686	463.422447911156	-0.114989899542091
129	3695	4165.43860726952	-314.91405611804	-470.438607269518	0.353018448667647
130	2462	2976.39489450123	-855.024407237093	-514.394894501227	-1.04553487442651
131	2146	2298.94326844948	-745.272252953086	-152.943268449477	0.212510421104352
132	1579	2122.18724253867	-393.757755706733	-543.18724253867	0.680531343477684

\begin{tabular}{lllllllll}
\hline
Structural Time Series Model \tabularnewline
t & Observed & Level & Slope & Seasonal & Stand. Residuals \tabularnewline
1 & 1894 & 1894 & 0 & 0 & 0 \tabularnewline
2 & 1757 & 1809.08838043599 & -89.2164442688351 & -52.0883804359902 & -0.216528216692585 \tabularnewline
3 & 3582 & 3048.06986404327 & 763.618400449359 & 533.930135956726 & 1.68787853153901 \tabularnewline
4 & 5321 & 4960.25968402736 & 1535.95129818429 & 360.740315972637 & 1.59276428046062 \tabularnewline
5 & 5561 & 5907.62268548542 & 1141.85251891371 & -346.622685485423 & -0.755469019246534 \tabularnewline
6 & 5907 & 6140.59634343169 & 544.038385257328 & -233.596343431691 & -1.15484343423436 \tabularnewline
7 & 4944 & 5314.77513873109 & -359.602946246611 & -370.775138731087 & -1.75210414842538 \tabularnewline
8 & 4966 & 4815.1949374762 & -452.15439723753 & 150.8050625238 & -0.179127260257805 \tabularnewline
9 & 3258 & 3521.48593779214 & -1008.68896487965 & -263.485937792145 & -1.07703354875949 \tabularnewline
10 & 1964 & 2013.42183456957 & -1338.86650692641 & -49.4218345695654 & -0.639022877668424 \tabularnewline
11 & 1743 & 1379.29379302811 & -873.008698468655 & 363.706206971891 & 0.901590605199188 \tabularnewline
12 & 1262 & 1089.86706043023 & -487.269272062603 & 172.132939569772 & 0.746532407325054 \tabularnewline
13 & 2086 & 1779.9222927852 & 288.209980063277 & 306.077707214802 & 1.50653284595056 \tabularnewline
14 & 1793 & 2391.64882926883 & 502.26595982438 & -598.648829268826 & 0.421063294567473 \tabularnewline
15 & 3548 & 3345.60135085462 & 793.012791069386 & 202.398649145376 & 0.557838221276706 \tabularnewline
16 & 5672 & 4935.80267323795 & 1299.01823232346 & 736.197326762051 & 0.993603103970565 \tabularnewline
17 & 6084 & 6238.8264464102 & 1301.59262858949 & -154.8264464102 & 0.00501426890307468 \tabularnewline
18 & 4914 & 5537.39382653407 & 22.404185390149 & -623.393826534074 & -2.46515932012154 \tabularnewline
19 & 4990 & 5279.1577233312 & -155.983430532195 & -289.1577233312 & -0.34514761085098 \tabularnewline
20 & 5139 & 4764.37852740695 & -384.455163228124 & 374.621472593054 & -0.442533788089605 \tabularnewline
21 & 3218 & 3524.5161811555 & -929.883583829941 & -306.516181155505 & -1.05555607605861 \tabularnewline
22 & 2179 & 2373.49882472275 & -1070.90195627193 & -194.498824722746 & -0.27292255824044 \tabularnewline
23 & 2238 & 1800.85798277085 & -753.324958022511 & 437.14201722915 & 0.61464460700701 \tabularnewline
24 & 1442 & 1473.59650907727 & -482.091929450057 & -31.5965090772668 & 0.525186362510261 \tabularnewline
25 & 2205 & 1725.01795423017 & -15.0047210986643 & 479.982045769826 & 0.906874612736889 \tabularnewline
26 & 2025 & 2600.56695192384 & 552.853476303767 & -575.566951923842 & 1.10087152996571 \tabularnewline
27 & 3531 & 3654.88817986987 & 869.99227161533 & -123.888179869871 & 0.611903535998148 \tabularnewline
28 & 4977 & 4363.63872256902 & 768.594242543618 & 613.361277430981 & -0.196978226706696 \tabularnewline
29 & 7998 & 6836.37042970527 & 1845.70804065554 & 1161.62957029473 & 2.0943480596657 \tabularnewline
30 & 4880 & 6460.7255043072 & 441.564908945852 & -1580.7255043072 & -2.7140647710296 \tabularnewline
31 & 5231 & 5661.24747437538 & -340.08348426153 & -430.247474375384 & -1.51061166543131 \tabularnewline
32 & 5202 & 4648.34886556562 & -763.720883370879 & 553.651134434377 & -0.820042438605273 \tabularnewline
33 & 3303 & 3555.07687917347 & -971.466874749921 & -252.076879173466 & -0.402116693387562 \tabularnewline
34 & 2683 & 2837.92015139828 & -811.09196453216 & -154.920151398279 & 0.310378510259595 \tabularnewline
35 & 2202 & 1892.5610584594 & -895.729027855034 & 309.438941540599 & -0.163817691446183 \tabularnewline
36 & 1376 & 1434.25674494013 & -620.098339421817 & -58.2567449401302 & 0.53386680348339 \tabularnewline
37 & 2422 & 1866.35636413478 & 43.4400320286862 & 555.643635865216 & 1.28628754734407 \tabularnewline
38 & 1997 & 2587.46970485518 & 470.70375675946 & -590.469704855181 & 0.826841923598995 \tabularnewline
39 & 3163 & 3401.96899558555 & 686.562887297715 & -238.968995585555 & 0.417147347536772 \tabularnewline
40 & 5964 & 5528.35501519099 & 1588.26213643665 & 435.644984809008 & 1.74784234029213 \tabularnewline
41 & 5657 & 4730.5663285692 & 90.43038250161 & 926.4336714308 & -2.9069106088362 \tabularnewline
42 & 6415 & 6665.1133083519 & 1249.33447208696 & -250.113308351903 & 2.24292927105289 \tabularnewline
43 & 6208 & 6927.50843981009 & 630.262324214618 & -719.508439810087 & -1.19671872670618 \tabularnewline
44 & 4500 & 4767.4606075667 & -1118.16621092943 & -267.4606075667 & -3.38258108618914 \tabularnewline
45 & 2939 & 3172.57783627558 & -1416.99728341756 & -233.577836275578 & -0.578387315699709 \tabularnewline
46 & 2702 & 2445.22165804299 & -984.540825949081 & 256.77834195701 & 0.837050009547703 \tabularnewline
47 & 2090 & 1803.23975572152 & -769.745587102932 & 286.760244278478 & 0.415828318731671 \tabularnewline
48 & 1504 & 1660.73212734957 & -376.386053769396 & -156.732127349567 & 0.761868124133676 \tabularnewline
49 & 2549 & 1990.39964602107 & 66.6563289106039 & 558.600353978929 & 0.858088713508207 \tabularnewline
50 & 1931 & 2608.53068543848 & 412.48439730558 & -677.53068543848 & 0.66899614232737 \tabularnewline
51 & 3013 & 3548.4750153775 & 742.413227819251 & -535.475015377498 & 0.637973938426433 \tabularnewline
52 & 6204 & 4942.18776942307 & 1149.23719679098 & 1261.81223057693 & 0.78804831959246 \tabularnewline
53 & 5788 & 5847.48420007538 & 996.657411908307 & -59.4842000753822 & -0.29583456722905 \tabularnewline
54 & 5611 & 5784.139844556 & 332.943098776981 & -173.139844556002 & -1.28507002359164 \tabularnewline
55 & 5594 & 5398.11466713138 & -116.821838913558 & 195.885332868622 & -0.869787814270106 \tabularnewline
56 & 4647 & 4835.83694186429 & -395.166174801889 & -188.836941864292 & -0.538386376736472 \tabularnewline
57 & 3490 & 4037.79331181353 & -646.847427453273 & -547.793311813531 & -0.487065959218473 \tabularnewline
58 & 2487 & 2566.29080778241 & -1162.11166149677 & -79.2908077824117 & -0.997456856842565 \tabularnewline
59 & 1992 & 1702.76455830276 & -975.510598827429 & 289.235441697237 & 0.3613140387338 \tabularnewline
60 & 1507 & 1584.07294325534 & -439.830676771279 & -77.0729432553362 & 1.03741852408907 \tabularnewline
61 & 2306 & 1774.17164794509 & -45.8707270351032 & 531.828352054913 & 0.762691090996016 \tabularnewline
62 & 2002 & 2655.10495595921 & 533.329214014642 & -653.104955959213 & 1.12035997981018 \tabularnewline
63 & 3075 & 3788.30916880726 & 907.559451610679 & -713.309168807264 & 0.723841391435108 \tabularnewline
64 & 5331 & 4231.84616191312 & 618.328376925709 & 1099.15383808688 & -0.560105567673651 \tabularnewline
65 & 5589 & 5151.41336331559 & 806.263095660511 & 437.586636684411 & 0.364202457030348 \tabularnewline
66 & 5813 & 5846.19383929623 & 736.649296699767 & -33.193839296226 & -0.134799271421131 \tabularnewline
67 & 4876 & 5078.07939835535 & -202.541994843584 & -202.079398355349 & -1.8167924972651 \tabularnewline
68 & 4665 & 4600.1338924817 & -374.252043848668 & 64.8661075182965 & -0.33211957845133 \tabularnewline
69 & 3601 & 3880.2787781149 & -589.60786674187 & -279.278778114899 & -0.416726924592668 \tabularnewline
70 & 2192 & 2565.77380513652 & -1041.32259801611 & -373.77380513652 & -0.874495010694896 \tabularnewline
71 & 2111 & 1890.76301432962 & -812.979070907695 & 220.236985670385 & 0.442187936577076 \tabularnewline
72 & 1580 & 1697.96816033344 & -426.194901143166 & -117.968160333438 & 0.749000786689019 \tabularnewline
73 & 2288 & 1930.44342461138 & -15.3400836429765 & 357.55657538862 & 0.795228477745135 \tabularnewline
74 & 1993 & 2636.50774946889 & 434.310554442099 & -643.507749468887 & 0.86977254529707 \tabularnewline
75 & 3228 & 3678.64618762433 & 812.666705554361 & -450.646187624334 & 0.731930222678472 \tabularnewline
76 & 5000 & 4249.88730227107 & 662.473184177016 & 750.112697728925 & -0.290813697435136 \tabularnewline
77 & 5480 & 4959.11057208796 & 691.57635838125 & 520.889427912036 & 0.0563835027431234 \tabularnewline
78 & 5770 & 5388.55170643428 & 528.266124849259 & 381.448293565723 & -0.316232935929128 \tabularnewline
79 & 4962 & 5283.58853322573 & 133.861634987973 & -321.588533225726 & -0.763075111639701 \tabularnewline
80 & 4685 & 4644.98319747885 & -346.81699168505 & 40.0168025211534 & -0.929753751910267 \tabularnewline
81 & 3607 & 3712.55355637697 & -710.963657068427 & -105.553556376971 & -0.70460993697315 \tabularnewline
82 & 2222 & 2737.32479606553 & -875.274817450085 & -515.32479606553 & -0.318102643498641 \tabularnewline
83 & 2467 & 2271.41899163007 & -620.641852981752 & 195.581008369932 & 0.493116316910315 \tabularnewline
84 & 1594 & 1896.87053972015 & -467.491071782073 & -302.870539720155 & 0.296555186578753 \tabularnewline
85 & 2228 & 1982.32216346215 & -123.354328186336 & 245.677836537852 & 0.666024114255382 \tabularnewline
86 & 1910 & 2568.34608981933 & 317.827647657348 & -658.346089819334 & 0.853416890621681 \tabularnewline
87 & 3157 & 3425.90847011112 & 653.145240041242 & -268.90847011112 & 0.648728806344753 \tabularnewline
88 & 4809 & 4154.85778555953 & 700.219527759209 & 654.142214440466 & 0.0911403431309937 \tabularnewline
89 & 6249 & 5459.08006840338 & 1075.50540844072 & 789.919931596624 & 0.726932376263585 \tabularnewline
90 & 4607 & 4713.31352075369 & -56.8412517786487 & -106.313520753689 & -2.19259576296417 \tabularnewline
91 & 4975 & 4787.11095200056 & 24.3701799032697 & 187.889047999438 & 0.157139646460872 \tabularnewline
92 & 4784 & 4588.60491897319 & -114.067526114886 & 195.395081026811 & -0.2677872916229 \tabularnewline
93 & 3028 & 3382.00125456323 & -792.18408430315 & -354.001254563235 & -1.31210428673968 \tabularnewline
94 & 2461 & 2877.34071368992 & -613.750227439413 & -416.340713689917 & 0.34543954715945 \tabularnewline
95 & 2218 & 2144.41312667722 & -687.739759667599 & 73.5868733227813 & -0.143284989315093 \tabularnewline
96 & 1351 & 1735.73190014609 & -514.405052896506 & -384.731900146089 & 0.335620891068544 \tabularnewline
97 & 2070 & 1888.55103156473 & -99.9544293654216 & 181.448968435274 & 0.802068811489549 \tabularnewline
98 & 1887 & 2560.06548152772 & 378.929094143187 & -673.065481527719 & 0.926382961992347 \tabularnewline
99 & 3024 & 3345.65740970475 & 631.136117120872 & -321.657409704754 & 0.487965192236348 \tabularnewline
100 & 4596 & 4096.62931030521 & 705.4321086516 & 499.370689694786 & 0.143835685173949 \tabularnewline
101 & 6398 & 4935.9585755297 & 788.482966462331 & 1462.0414244703 & 0.160849158215233 \tabularnewline
102 & 4459 & 4949.33104380843 & 307.445460269727 & -490.331043808431 & -0.931404257648539 \tabularnewline
103 & 5382 & 5063.01017554105 & 187.202538215894 & 318.989824458948 & -0.232677103783089 \tabularnewline
104 & 4359 & 4142.24775658569 & -499.86307161974 & 216.752243414309 & -1.32909965585818 \tabularnewline
105 & 2687 & 3176.44736539605 & -788.591455632541 & -489.447365396048 & -0.558667675775332 \tabularnewline
106 & 2249 & 2494.63226941028 & -722.436689734997 & -245.632269410275 & 0.128069158279367 \tabularnewline
107 & 2154 & 2060.57590170773 & -543.700041574982 & 93.424098292271 & 0.346120753020833 \tabularnewline
108 & 1169 & 1744.75006156316 & -402.399740022507 & -575.750061563159 & 0.273580951610447 \tabularnewline
109 & 2429 & 2240.45876355988 & 154.501153002505 & 188.541236440118 & 1.07772789595826 \tabularnewline
110 & 1762 & 2612.01831124216 & 289.013428870104 & -850.01831124216 & 0.260220325651241 \tabularnewline
111 & 2846 & 3189.24798423683 & 467.485598216027 & -343.247984236831 & 0.34531865446901 \tabularnewline
112 & 5627 & 4811.85645738748 & 1182.57951976071 & 815.143542612519 & 1.38434483762707 \tabularnewline
113 & 5749 & 4637.94842563993 & 342.507864696509 & 1111.05157436007 & -1.62684638093375 \tabularnewline
114 & 4502 & 4825.05245871224 & 246.219704990167 & -323.052458712236 & -0.186427992500327 \tabularnewline
115 & 5720 & 4977.00987292183 & 187.817558510491 & 742.99012707817 & -0.113015679304669 \tabularnewline
116 & 4403 & 4290.68211807736 & -353.442037978113 & 112.317881922636 & -1.04709903673015 \tabularnewline
117 & 2867 & 3460.91325269764 & -648.182989692413 & -593.913252697638 & -0.570307652113895 \tabularnewline
118 & 2635 & 2883.15199302175 & -604.615364449787 & -248.151993021751 & 0.0843400269723637 \tabularnewline
119 & 2059 & 2121.87279564873 & -701.570892863281 & -62.8727956487265 & -0.187743223244766 \tabularnewline
120 & 1511 & 2128.93464246038 & -262.8306089573 & -617.934642460384 & 0.849436312917602 \tabularnewline
121 & 2359 & 2199.8898967176 & -56.1728233221151 & 159.110103282402 & 0.399927742237299 \tabularnewline
122 & 1741 & 2659.32309935207 & 262.881994309996 & -918.323099352065 & 0.617253205641011 \tabularnewline
123 & 2917 & 3496.4571872666 & 617.990493142865 & -579.457187266601 & 0.687107299608216 \tabularnewline
124 & 6249 & 4762.3843737375 & 1018.57360693979 & 1486.6156262625 & 0.775455655704204 \tabularnewline
125 & 5760 & 4979.10978294276 & 522.67257662593 & 780.890217057244 & -0.960259225566432 \tabularnewline
126 & 6250 & 6196.45116638723 & 952.470330222245 & 53.5488336127749 & 0.83211222990428 \tabularnewline
127 & 5134 & 4901.61588766256 & -437.917853708548 & 232.384112337442 & -2.6906444055114 \tabularnewline
128 & 4831 & 4367.57755208884 & -497.354789416686 & 463.422447911156 & -0.114989899542091 \tabularnewline
129 & 3695 & 4165.43860726952 & -314.91405611804 & -470.438607269518 & 0.353018448667647 \tabularnewline
130 & 2462 & 2976.39489450123 & -855.024407237093 & -514.394894501227 & -1.04553487442651 \tabularnewline
131 & 2146 & 2298.94326844948 & -745.272252953086 & -152.943268449477 & 0.212510421104352 \tabularnewline
132 & 1579 & 2122.18724253867 & -393.757755706733 & -543.18724253867 & 0.680531343477684 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=265436&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]1894[/C][C]1894[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]1757[/C][C]1809.08838043599[/C][C]-89.2164442688351[/C][C]-52.0883804359902[/C][C]-0.216528216692585[/C][/ROW]
[ROW][C]3[/C][C]3582[/C][C]3048.06986404327[/C][C]763.618400449359[/C][C]533.930135956726[/C][C]1.68787853153901[/C][/ROW]
[ROW][C]4[/C][C]5321[/C][C]4960.25968402736[/C][C]1535.95129818429[/C][C]360.740315972637[/C][C]1.59276428046062[/C][/ROW]
[ROW][C]5[/C][C]5561[/C][C]5907.62268548542[/C][C]1141.85251891371[/C][C]-346.622685485423[/C][C]-0.755469019246534[/C][/ROW]
[ROW][C]6[/C][C]5907[/C][C]6140.59634343169[/C][C]544.038385257328[/C][C]-233.596343431691[/C][C]-1.15484343423436[/C][/ROW]
[ROW][C]7[/C][C]4944[/C][C]5314.77513873109[/C][C]-359.602946246611[/C][C]-370.775138731087[/C][C]-1.75210414842538[/C][/ROW]
[ROW][C]8[/C][C]4966[/C][C]4815.1949374762[/C][C]-452.15439723753[/C][C]150.8050625238[/C][C]-0.179127260257805[/C][/ROW]
[ROW][C]9[/C][C]3258[/C][C]3521.48593779214[/C][C]-1008.68896487965[/C][C]-263.485937792145[/C][C]-1.07703354875949[/C][/ROW]
[ROW][C]10[/C][C]1964[/C][C]2013.42183456957[/C][C]-1338.86650692641[/C][C]-49.4218345695654[/C][C]-0.639022877668424[/C][/ROW]
[ROW][C]11[/C][C]1743[/C][C]1379.29379302811[/C][C]-873.008698468655[/C][C]363.706206971891[/C][C]0.901590605199188[/C][/ROW]
[ROW][C]12[/C][C]1262[/C][C]1089.86706043023[/C][C]-487.269272062603[/C][C]172.132939569772[/C][C]0.746532407325054[/C][/ROW]
[ROW][C]13[/C][C]2086[/C][C]1779.9222927852[/C][C]288.209980063277[/C][C]306.077707214802[/C][C]1.50653284595056[/C][/ROW]
[ROW][C]14[/C][C]1793[/C][C]2391.64882926883[/C][C]502.26595982438[/C][C]-598.648829268826[/C][C]0.421063294567473[/C][/ROW]
[ROW][C]15[/C][C]3548[/C][C]3345.60135085462[/C][C]793.012791069386[/C][C]202.398649145376[/C][C]0.557838221276706[/C][/ROW]
[ROW][C]16[/C][C]5672[/C][C]4935.80267323795[/C][C]1299.01823232346[/C][C]736.197326762051[/C][C]0.993603103970565[/C][/ROW]
[ROW][C]17[/C][C]6084[/C][C]6238.8264464102[/C][C]1301.59262858949[/C][C]-154.8264464102[/C][C]0.00501426890307468[/C][/ROW]
[ROW][C]18[/C][C]4914[/C][C]5537.39382653407[/C][C]22.404185390149[/C][C]-623.393826534074[/C][C]-2.46515932012154[/C][/ROW]
[ROW][C]19[/C][C]4990[/C][C]5279.1577233312[/C][C]-155.983430532195[/C][C]-289.1577233312[/C][C]-0.34514761085098[/C][/ROW]
[ROW][C]20[/C][C]5139[/C][C]4764.37852740695[/C][C]-384.455163228124[/C][C]374.621472593054[/C][C]-0.442533788089605[/C][/ROW]
[ROW][C]21[/C][C]3218[/C][C]3524.5161811555[/C][C]-929.883583829941[/C][C]-306.516181155505[/C][C]-1.05555607605861[/C][/ROW]
[ROW][C]22[/C][C]2179[/C][C]2373.49882472275[/C][C]-1070.90195627193[/C][C]-194.498824722746[/C][C]-0.27292255824044[/C][/ROW]
[ROW][C]23[/C][C]2238[/C][C]1800.85798277085[/C][C]-753.324958022511[/C][C]437.14201722915[/C][C]0.61464460700701[/C][/ROW]
[ROW][C]24[/C][C]1442[/C][C]1473.59650907727[/C][C]-482.091929450057[/C][C]-31.5965090772668[/C][C]0.525186362510261[/C][/ROW]
[ROW][C]25[/C][C]2205[/C][C]1725.01795423017[/C][C]-15.0047210986643[/C][C]479.982045769826[/C][C]0.906874612736889[/C][/ROW]
[ROW][C]26[/C][C]2025[/C][C]2600.56695192384[/C][C]552.853476303767[/C][C]-575.566951923842[/C][C]1.10087152996571[/C][/ROW]
[ROW][C]27[/C][C]3531[/C][C]3654.88817986987[/C][C]869.99227161533[/C][C]-123.888179869871[/C][C]0.611903535998148[/C][/ROW]
[ROW][C]28[/C][C]4977[/C][C]4363.63872256902[/C][C]768.594242543618[/C][C]613.361277430981[/C][C]-0.196978226706696[/C][/ROW]
[ROW][C]29[/C][C]7998[/C][C]6836.37042970527[/C][C]1845.70804065554[/C][C]1161.62957029473[/C][C]2.0943480596657[/C][/ROW]
[ROW][C]30[/C][C]4880[/C][C]6460.7255043072[/C][C]441.564908945852[/C][C]-1580.7255043072[/C][C]-2.7140647710296[/C][/ROW]
[ROW][C]31[/C][C]5231[/C][C]5661.24747437538[/C][C]-340.08348426153[/C][C]-430.247474375384[/C][C]-1.51061166543131[/C][/ROW]
[ROW][C]32[/C][C]5202[/C][C]4648.34886556562[/C][C]-763.720883370879[/C][C]553.651134434377[/C][C]-0.820042438605273[/C][/ROW]
[ROW][C]33[/C][C]3303[/C][C]3555.07687917347[/C][C]-971.466874749921[/C][C]-252.076879173466[/C][C]-0.402116693387562[/C][/ROW]
[ROW][C]34[/C][C]2683[/C][C]2837.92015139828[/C][C]-811.09196453216[/C][C]-154.920151398279[/C][C]0.310378510259595[/C][/ROW]
[ROW][C]35[/C][C]2202[/C][C]1892.5610584594[/C][C]-895.729027855034[/C][C]309.438941540599[/C][C]-0.163817691446183[/C][/ROW]
[ROW][C]36[/C][C]1376[/C][C]1434.25674494013[/C][C]-620.098339421817[/C][C]-58.2567449401302[/C][C]0.53386680348339[/C][/ROW]
[ROW][C]37[/C][C]2422[/C][C]1866.35636413478[/C][C]43.4400320286862[/C][C]555.643635865216[/C][C]1.28628754734407[/C][/ROW]
[ROW][C]38[/C][C]1997[/C][C]2587.46970485518[/C][C]470.70375675946[/C][C]-590.469704855181[/C][C]0.826841923598995[/C][/ROW]
[ROW][C]39[/C][C]3163[/C][C]3401.96899558555[/C][C]686.562887297715[/C][C]-238.968995585555[/C][C]0.417147347536772[/C][/ROW]
[ROW][C]40[/C][C]5964[/C][C]5528.35501519099[/C][C]1588.26213643665[/C][C]435.644984809008[/C][C]1.74784234029213[/C][/ROW]
[ROW][C]41[/C][C]5657[/C][C]4730.5663285692[/C][C]90.43038250161[/C][C]926.4336714308[/C][C]-2.9069106088362[/C][/ROW]
[ROW][C]42[/C][C]6415[/C][C]6665.1133083519[/C][C]1249.33447208696[/C][C]-250.113308351903[/C][C]2.24292927105289[/C][/ROW]
[ROW][C]43[/C][C]6208[/C][C]6927.50843981009[/C][C]630.262324214618[/C][C]-719.508439810087[/C][C]-1.19671872670618[/C][/ROW]
[ROW][C]44[/C][C]4500[/C][C]4767.4606075667[/C][C]-1118.16621092943[/C][C]-267.4606075667[/C][C]-3.38258108618914[/C][/ROW]
[ROW][C]45[/C][C]2939[/C][C]3172.57783627558[/C][C]-1416.99728341756[/C][C]-233.577836275578[/C][C]-0.578387315699709[/C][/ROW]
[ROW][C]46[/C][C]2702[/C][C]2445.22165804299[/C][C]-984.540825949081[/C][C]256.77834195701[/C][C]0.837050009547703[/C][/ROW]
[ROW][C]47[/C][C]2090[/C][C]1803.23975572152[/C][C]-769.745587102932[/C][C]286.760244278478[/C][C]0.415828318731671[/C][/ROW]
[ROW][C]48[/C][C]1504[/C][C]1660.73212734957[/C][C]-376.386053769396[/C][C]-156.732127349567[/C][C]0.761868124133676[/C][/ROW]
[ROW][C]49[/C][C]2549[/C][C]1990.39964602107[/C][C]66.6563289106039[/C][C]558.600353978929[/C][C]0.858088713508207[/C][/ROW]
[ROW][C]50[/C][C]1931[/C][C]2608.53068543848[/C][C]412.48439730558[/C][C]-677.53068543848[/C][C]0.66899614232737[/C][/ROW]
[ROW][C]51[/C][C]3013[/C][C]3548.4750153775[/C][C]742.413227819251[/C][C]-535.475015377498[/C][C]0.637973938426433[/C][/ROW]
[ROW][C]52[/C][C]6204[/C][C]4942.18776942307[/C][C]1149.23719679098[/C][C]1261.81223057693[/C][C]0.78804831959246[/C][/ROW]
[ROW][C]53[/C][C]5788[/C][C]5847.48420007538[/C][C]996.657411908307[/C][C]-59.4842000753822[/C][C]-0.29583456722905[/C][/ROW]
[ROW][C]54[/C][C]5611[/C][C]5784.139844556[/C][C]332.943098776981[/C][C]-173.139844556002[/C][C]-1.28507002359164[/C][/ROW]
[ROW][C]55[/C][C]5594[/C][C]5398.11466713138[/C][C]-116.821838913558[/C][C]195.885332868622[/C][C]-0.869787814270106[/C][/ROW]
[ROW][C]56[/C][C]4647[/C][C]4835.83694186429[/C][C]-395.166174801889[/C][C]-188.836941864292[/C][C]-0.538386376736472[/C][/ROW]
[ROW][C]57[/C][C]3490[/C][C]4037.79331181353[/C][C]-646.847427453273[/C][C]-547.793311813531[/C][C]-0.487065959218473[/C][/ROW]
[ROW][C]58[/C][C]2487[/C][C]2566.29080778241[/C][C]-1162.11166149677[/C][C]-79.2908077824117[/C][C]-0.997456856842565[/C][/ROW]
[ROW][C]59[/C][C]1992[/C][C]1702.76455830276[/C][C]-975.510598827429[/C][C]289.235441697237[/C][C]0.3613140387338[/C][/ROW]
[ROW][C]60[/C][C]1507[/C][C]1584.07294325534[/C][C]-439.830676771279[/C][C]-77.0729432553362[/C][C]1.03741852408907[/C][/ROW]
[ROW][C]61[/C][C]2306[/C][C]1774.17164794509[/C][C]-45.8707270351032[/C][C]531.828352054913[/C][C]0.762691090996016[/C][/ROW]
[ROW][C]62[/C][C]2002[/C][C]2655.10495595921[/C][C]533.329214014642[/C][C]-653.104955959213[/C][C]1.12035997981018[/C][/ROW]
[ROW][C]63[/C][C]3075[/C][C]3788.30916880726[/C][C]907.559451610679[/C][C]-713.309168807264[/C][C]0.723841391435108[/C][/ROW]
[ROW][C]64[/C][C]5331[/C][C]4231.84616191312[/C][C]618.328376925709[/C][C]1099.15383808688[/C][C]-0.560105567673651[/C][/ROW]
[ROW][C]65[/C][C]5589[/C][C]5151.41336331559[/C][C]806.263095660511[/C][C]437.586636684411[/C][C]0.364202457030348[/C][/ROW]
[ROW][C]66[/C][C]5813[/C][C]5846.19383929623[/C][C]736.649296699767[/C][C]-33.193839296226[/C][C]-0.134799271421131[/C][/ROW]
[ROW][C]67[/C][C]4876[/C][C]5078.07939835535[/C][C]-202.541994843584[/C][C]-202.079398355349[/C][C]-1.8167924972651[/C][/ROW]
[ROW][C]68[/C][C]4665[/C][C]4600.1338924817[/C][C]-374.252043848668[/C][C]64.8661075182965[/C][C]-0.33211957845133[/C][/ROW]
[ROW][C]69[/C][C]3601[/C][C]3880.2787781149[/C][C]-589.60786674187[/C][C]-279.278778114899[/C][C]-0.416726924592668[/C][/ROW]
[ROW][C]70[/C][C]2192[/C][C]2565.77380513652[/C][C]-1041.32259801611[/C][C]-373.77380513652[/C][C]-0.874495010694896[/C][/ROW]
[ROW][C]71[/C][C]2111[/C][C]1890.76301432962[/C][C]-812.979070907695[/C][C]220.236985670385[/C][C]0.442187936577076[/C][/ROW]
[ROW][C]72[/C][C]1580[/C][C]1697.96816033344[/C][C]-426.194901143166[/C][C]-117.968160333438[/C][C]0.749000786689019[/C][/ROW]
[ROW][C]73[/C][C]2288[/C][C]1930.44342461138[/C][C]-15.3400836429765[/C][C]357.55657538862[/C][C]0.795228477745135[/C][/ROW]
[ROW][C]74[/C][C]1993[/C][C]2636.50774946889[/C][C]434.310554442099[/C][C]-643.507749468887[/C][C]0.86977254529707[/C][/ROW]
[ROW][C]75[/C][C]3228[/C][C]3678.64618762433[/C][C]812.666705554361[/C][C]-450.646187624334[/C][C]0.731930222678472[/C][/ROW]
[ROW][C]76[/C][C]5000[/C][C]4249.88730227107[/C][C]662.473184177016[/C][C]750.112697728925[/C][C]-0.290813697435136[/C][/ROW]
[ROW][C]77[/C][C]5480[/C][C]4959.11057208796[/C][C]691.57635838125[/C][C]520.889427912036[/C][C]0.0563835027431234[/C][/ROW]
[ROW][C]78[/C][C]5770[/C][C]5388.55170643428[/C][C]528.266124849259[/C][C]381.448293565723[/C][C]-0.316232935929128[/C][/ROW]
[ROW][C]79[/C][C]4962[/C][C]5283.58853322573[/C][C]133.861634987973[/C][C]-321.588533225726[/C][C]-0.763075111639701[/C][/ROW]
[ROW][C]80[/C][C]4685[/C][C]4644.98319747885[/C][C]-346.81699168505[/C][C]40.0168025211534[/C][C]-0.929753751910267[/C][/ROW]
[ROW][C]81[/C][C]3607[/C][C]3712.55355637697[/C][C]-710.963657068427[/C][C]-105.553556376971[/C][C]-0.70460993697315[/C][/ROW]
[ROW][C]82[/C][C]2222[/C][C]2737.32479606553[/C][C]-875.274817450085[/C][C]-515.32479606553[/C][C]-0.318102643498641[/C][/ROW]
[ROW][C]83[/C][C]2467[/C][C]2271.41899163007[/C][C]-620.641852981752[/C][C]195.581008369932[/C][C]0.493116316910315[/C][/ROW]
[ROW][C]84[/C][C]1594[/C][C]1896.87053972015[/C][C]-467.491071782073[/C][C]-302.870539720155[/C][C]0.296555186578753[/C][/ROW]
[ROW][C]85[/C][C]2228[/C][C]1982.32216346215[/C][C]-123.354328186336[/C][C]245.677836537852[/C][C]0.666024114255382[/C][/ROW]
[ROW][C]86[/C][C]1910[/C][C]2568.34608981933[/C][C]317.827647657348[/C][C]-658.346089819334[/C][C]0.853416890621681[/C][/ROW]
[ROW][C]87[/C][C]3157[/C][C]3425.90847011112[/C][C]653.145240041242[/C][C]-268.90847011112[/C][C]0.648728806344753[/C][/ROW]
[ROW][C]88[/C][C]4809[/C][C]4154.85778555953[/C][C]700.219527759209[/C][C]654.142214440466[/C][C]0.0911403431309937[/C][/ROW]
[ROW][C]89[/C][C]6249[/C][C]5459.08006840338[/C][C]1075.50540844072[/C][C]789.919931596624[/C][C]0.726932376263585[/C][/ROW]
[ROW][C]90[/C][C]4607[/C][C]4713.31352075369[/C][C]-56.8412517786487[/C][C]-106.313520753689[/C][C]-2.19259576296417[/C][/ROW]
[ROW][C]91[/C][C]4975[/C][C]4787.11095200056[/C][C]24.3701799032697[/C][C]187.889047999438[/C][C]0.157139646460872[/C][/ROW]
[ROW][C]92[/C][C]4784[/C][C]4588.60491897319[/C][C]-114.067526114886[/C][C]195.395081026811[/C][C]-0.2677872916229[/C][/ROW]
[ROW][C]93[/C][C]3028[/C][C]3382.00125456323[/C][C]-792.18408430315[/C][C]-354.001254563235[/C][C]-1.31210428673968[/C][/ROW]
[ROW][C]94[/C][C]2461[/C][C]2877.34071368992[/C][C]-613.750227439413[/C][C]-416.340713689917[/C][C]0.34543954715945[/C][/ROW]
[ROW][C]95[/C][C]2218[/C][C]2144.41312667722[/C][C]-687.739759667599[/C][C]73.5868733227813[/C][C]-0.143284989315093[/C][/ROW]
[ROW][C]96[/C][C]1351[/C][C]1735.73190014609[/C][C]-514.405052896506[/C][C]-384.731900146089[/C][C]0.335620891068544[/C][/ROW]
[ROW][C]97[/C][C]2070[/C][C]1888.55103156473[/C][C]-99.9544293654216[/C][C]181.448968435274[/C][C]0.802068811489549[/C][/ROW]
[ROW][C]98[/C][C]1887[/C][C]2560.06548152772[/C][C]378.929094143187[/C][C]-673.065481527719[/C][C]0.926382961992347[/C][/ROW]
[ROW][C]99[/C][C]3024[/C][C]3345.65740970475[/C][C]631.136117120872[/C][C]-321.657409704754[/C][C]0.487965192236348[/C][/ROW]
[ROW][C]100[/C][C]4596[/C][C]4096.62931030521[/C][C]705.4321086516[/C][C]499.370689694786[/C][C]0.143835685173949[/C][/ROW]
[ROW][C]101[/C][C]6398[/C][C]4935.9585755297[/C][C]788.482966462331[/C][C]1462.0414244703[/C][C]0.160849158215233[/C][/ROW]
[ROW][C]102[/C][C]4459[/C][C]4949.33104380843[/C][C]307.445460269727[/C][C]-490.331043808431[/C][C]-0.931404257648539[/C][/ROW]
[ROW][C]103[/C][C]5382[/C][C]5063.01017554105[/C][C]187.202538215894[/C][C]318.989824458948[/C][C]-0.232677103783089[/C][/ROW]
[ROW][C]104[/C][C]4359[/C][C]4142.24775658569[/C][C]-499.86307161974[/C][C]216.752243414309[/C][C]-1.32909965585818[/C][/ROW]
[ROW][C]105[/C][C]2687[/C][C]3176.44736539605[/C][C]-788.591455632541[/C][C]-489.447365396048[/C][C]-0.558667675775332[/C][/ROW]
[ROW][C]106[/C][C]2249[/C][C]2494.63226941028[/C][C]-722.436689734997[/C][C]-245.632269410275[/C][C]0.128069158279367[/C][/ROW]
[ROW][C]107[/C][C]2154[/C][C]2060.57590170773[/C][C]-543.700041574982[/C][C]93.424098292271[/C][C]0.346120753020833[/C][/ROW]
[ROW][C]108[/C][C]1169[/C][C]1744.75006156316[/C][C]-402.399740022507[/C][C]-575.750061563159[/C][C]0.273580951610447[/C][/ROW]
[ROW][C]109[/C][C]2429[/C][C]2240.45876355988[/C][C]154.501153002505[/C][C]188.541236440118[/C][C]1.07772789595826[/C][/ROW]
[ROW][C]110[/C][C]1762[/C][C]2612.01831124216[/C][C]289.013428870104[/C][C]-850.01831124216[/C][C]0.260220325651241[/C][/ROW]
[ROW][C]111[/C][C]2846[/C][C]3189.24798423683[/C][C]467.485598216027[/C][C]-343.247984236831[/C][C]0.34531865446901[/C][/ROW]
[ROW][C]112[/C][C]5627[/C][C]4811.85645738748[/C][C]1182.57951976071[/C][C]815.143542612519[/C][C]1.38434483762707[/C][/ROW]
[ROW][C]113[/C][C]5749[/C][C]4637.94842563993[/C][C]342.507864696509[/C][C]1111.05157436007[/C][C]-1.62684638093375[/C][/ROW]
[ROW][C]114[/C][C]4502[/C][C]4825.05245871224[/C][C]246.219704990167[/C][C]-323.052458712236[/C][C]-0.186427992500327[/C][/ROW]
[ROW][C]115[/C][C]5720[/C][C]4977.00987292183[/C][C]187.817558510491[/C][C]742.99012707817[/C][C]-0.113015679304669[/C][/ROW]
[ROW][C]116[/C][C]4403[/C][C]4290.68211807736[/C][C]-353.442037978113[/C][C]112.317881922636[/C][C]-1.04709903673015[/C][/ROW]
[ROW][C]117[/C][C]2867[/C][C]3460.91325269764[/C][C]-648.182989692413[/C][C]-593.913252697638[/C][C]-0.570307652113895[/C][/ROW]
[ROW][C]118[/C][C]2635[/C][C]2883.15199302175[/C][C]-604.615364449787[/C][C]-248.151993021751[/C][C]0.0843400269723637[/C][/ROW]
[ROW][C]119[/C][C]2059[/C][C]2121.87279564873[/C][C]-701.570892863281[/C][C]-62.8727956487265[/C][C]-0.187743223244766[/C][/ROW]
[ROW][C]120[/C][C]1511[/C][C]2128.93464246038[/C][C]-262.8306089573[/C][C]-617.934642460384[/C][C]0.849436312917602[/C][/ROW]
[ROW][C]121[/C][C]2359[/C][C]2199.8898967176[/C][C]-56.1728233221151[/C][C]159.110103282402[/C][C]0.399927742237299[/C][/ROW]
[ROW][C]122[/C][C]1741[/C][C]2659.32309935207[/C][C]262.881994309996[/C][C]-918.323099352065[/C][C]0.617253205641011[/C][/ROW]
[ROW][C]123[/C][C]2917[/C][C]3496.4571872666[/C][C]617.990493142865[/C][C]-579.457187266601[/C][C]0.687107299608216[/C][/ROW]
[ROW][C]124[/C][C]6249[/C][C]4762.3843737375[/C][C]1018.57360693979[/C][C]1486.6156262625[/C][C]0.775455655704204[/C][/ROW]
[ROW][C]125[/C][C]5760[/C][C]4979.10978294276[/C][C]522.67257662593[/C][C]780.890217057244[/C][C]-0.960259225566432[/C][/ROW]
[ROW][C]126[/C][C]6250[/C][C]6196.45116638723[/C][C]952.470330222245[/C][C]53.5488336127749[/C][C]0.83211222990428[/C][/ROW]
[ROW][C]127[/C][C]5134[/C][C]4901.61588766256[/C][C]-437.917853708548[/C][C]232.384112337442[/C][C]-2.6906444055114[/C][/ROW]
[ROW][C]128[/C][C]4831[/C][C]4367.57755208884[/C][C]-497.354789416686[/C][C]463.422447911156[/C][C]-0.114989899542091[/C][/ROW]
[ROW][C]129[/C][C]3695[/C][C]4165.43860726952[/C][C]-314.91405611804[/C][C]-470.438607269518[/C][C]0.353018448667647[/C][/ROW]
[ROW][C]130[/C][C]2462[/C][C]2976.39489450123[/C][C]-855.024407237093[/C][C]-514.394894501227[/C][C]-1.04553487442651[/C][/ROW]
[ROW][C]131[/C][C]2146[/C][C]2298.94326844948[/C][C]-745.272252953086[/C][C]-152.943268449477[/C][C]0.212510421104352[/C][/ROW]
[ROW][C]132[/C][C]1579[/C][C]2122.18724253867[/C][C]-393.757755706733[/C][C]-543.18724253867[/C][C]0.680531343477684[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=265436&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=265436&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	1894	1894	0	0	0
2	1757	1809.08838043599	-89.2164442688351	-52.0883804359902	-0.216528216692585
3	3582	3048.06986404327	763.618400449359	533.930135956726	1.68787853153901
4	5321	4960.25968402736	1535.95129818429	360.740315972637	1.59276428046062
5	5561	5907.62268548542	1141.85251891371	-346.622685485423	-0.755469019246534
6	5907	6140.59634343169	544.038385257328	-233.596343431691	-1.15484343423436
7	4944	5314.77513873109	-359.602946246611	-370.775138731087	-1.75210414842538
8	4966	4815.1949374762	-452.15439723753	150.8050625238	-0.179127260257805
9	3258	3521.48593779214	-1008.68896487965	-263.485937792145	-1.07703354875949
10	1964	2013.42183456957	-1338.86650692641	-49.4218345695654	-0.639022877668424
11	1743	1379.29379302811	-873.008698468655	363.706206971891	0.901590605199188
12	1262	1089.86706043023	-487.269272062603	172.132939569772	0.746532407325054
13	2086	1779.9222927852	288.209980063277	306.077707214802	1.50653284595056
14	1793	2391.64882926883	502.26595982438	-598.648829268826	0.421063294567473
15	3548	3345.60135085462	793.012791069386	202.398649145376	0.557838221276706
16	5672	4935.80267323795	1299.01823232346	736.197326762051	0.993603103970565
17	6084	6238.8264464102	1301.59262858949	-154.8264464102	0.00501426890307468
18	4914	5537.39382653407	22.404185390149	-623.393826534074	-2.46515932012154
19	4990	5279.1577233312	-155.983430532195	-289.1577233312	-0.34514761085098
20	5139	4764.37852740695	-384.455163228124	374.621472593054	-0.442533788089605
21	3218	3524.5161811555	-929.883583829941	-306.516181155505	-1.05555607605861
22	2179	2373.49882472275	-1070.90195627193	-194.498824722746	-0.27292255824044
23	2238	1800.85798277085	-753.324958022511	437.14201722915	0.61464460700701
24	1442	1473.59650907727	-482.091929450057	-31.5965090772668	0.525186362510261
25	2205	1725.01795423017	-15.0047210986643	479.982045769826	0.906874612736889
26	2025	2600.56695192384	552.853476303767	-575.566951923842	1.10087152996571
27	3531	3654.88817986987	869.99227161533	-123.888179869871	0.611903535998148
28	4977	4363.63872256902	768.594242543618	613.361277430981	-0.196978226706696
29	7998	6836.37042970527	1845.70804065554	1161.62957029473	2.0943480596657
30	4880	6460.7255043072	441.564908945852	-1580.7255043072	-2.7140647710296
31	5231	5661.24747437538	-340.08348426153	-430.247474375384	-1.51061166543131
32	5202	4648.34886556562	-763.720883370879	553.651134434377	-0.820042438605273
33	3303	3555.07687917347	-971.466874749921	-252.076879173466	-0.402116693387562
34	2683	2837.92015139828	-811.09196453216	-154.920151398279	0.310378510259595
35	2202	1892.5610584594	-895.729027855034	309.438941540599	-0.163817691446183
36	1376	1434.25674494013	-620.098339421817	-58.2567449401302	0.53386680348339
37	2422	1866.35636413478	43.4400320286862	555.643635865216	1.28628754734407
38	1997	2587.46970485518	470.70375675946	-590.469704855181	0.826841923598995
39	3163	3401.96899558555	686.562887297715	-238.968995585555	0.417147347536772
40	5964	5528.35501519099	1588.26213643665	435.644984809008	1.74784234029213
41	5657	4730.5663285692	90.43038250161	926.4336714308	-2.9069106088362
42	6415	6665.1133083519	1249.33447208696	-250.113308351903	2.24292927105289
43	6208	6927.50843981009	630.262324214618	-719.508439810087	-1.19671872670618
44	4500	4767.4606075667	-1118.16621092943	-267.4606075667	-3.38258108618914
45	2939	3172.57783627558	-1416.99728341756	-233.577836275578	-0.578387315699709
46	2702	2445.22165804299	-984.540825949081	256.77834195701	0.837050009547703
47	2090	1803.23975572152	-769.745587102932	286.760244278478	0.415828318731671
48	1504	1660.73212734957	-376.386053769396	-156.732127349567	0.761868124133676
49	2549	1990.39964602107	66.6563289106039	558.600353978929	0.858088713508207
50	1931	2608.53068543848	412.48439730558	-677.53068543848	0.66899614232737
51	3013	3548.4750153775	742.413227819251	-535.475015377498	0.637973938426433
52	6204	4942.18776942307	1149.23719679098	1261.81223057693	0.78804831959246
53	5788	5847.48420007538	996.657411908307	-59.4842000753822	-0.29583456722905
54	5611	5784.139844556	332.943098776981	-173.139844556002	-1.28507002359164
55	5594	5398.11466713138	-116.821838913558	195.885332868622	-0.869787814270106
56	4647	4835.83694186429	-395.166174801889	-188.836941864292	-0.538386376736472
57	3490	4037.79331181353	-646.847427453273	-547.793311813531	-0.487065959218473
58	2487	2566.29080778241	-1162.11166149677	-79.2908077824117	-0.997456856842565
59	1992	1702.76455830276	-975.510598827429	289.235441697237	0.3613140387338
60	1507	1584.07294325534	-439.830676771279	-77.0729432553362	1.03741852408907
61	2306	1774.17164794509	-45.8707270351032	531.828352054913	0.762691090996016
62	2002	2655.10495595921	533.329214014642	-653.104955959213	1.12035997981018
63	3075	3788.30916880726	907.559451610679	-713.309168807264	0.723841391435108
64	5331	4231.84616191312	618.328376925709	1099.15383808688	-0.560105567673651
65	5589	5151.41336331559	806.263095660511	437.586636684411	0.364202457030348
66	5813	5846.19383929623	736.649296699767	-33.193839296226	-0.134799271421131
67	4876	5078.07939835535	-202.541994843584	-202.079398355349	-1.8167924972651
68	4665	4600.1338924817	-374.252043848668	64.8661075182965	-0.33211957845133
69	3601	3880.2787781149	-589.60786674187	-279.278778114899	-0.416726924592668
70	2192	2565.77380513652	-1041.32259801611	-373.77380513652	-0.874495010694896
71	2111	1890.76301432962	-812.979070907695	220.236985670385	0.442187936577076
72	1580	1697.96816033344	-426.194901143166	-117.968160333438	0.749000786689019
73	2288	1930.44342461138	-15.3400836429765	357.55657538862	0.795228477745135
74	1993	2636.50774946889	434.310554442099	-643.507749468887	0.86977254529707
75	3228	3678.64618762433	812.666705554361	-450.646187624334	0.731930222678472
76	5000	4249.88730227107	662.473184177016	750.112697728925	-0.290813697435136
77	5480	4959.11057208796	691.57635838125	520.889427912036	0.0563835027431234
78	5770	5388.55170643428	528.266124849259	381.448293565723	-0.316232935929128
79	4962	5283.58853322573	133.861634987973	-321.588533225726	-0.763075111639701
80	4685	4644.98319747885	-346.81699168505	40.0168025211534	-0.929753751910267
81	3607	3712.55355637697	-710.963657068427	-105.553556376971	-0.70460993697315
82	2222	2737.32479606553	-875.274817450085	-515.32479606553	-0.318102643498641
83	2467	2271.41899163007	-620.641852981752	195.581008369932	0.493116316910315
84	1594	1896.87053972015	-467.491071782073	-302.870539720155	0.296555186578753
85	2228	1982.32216346215	-123.354328186336	245.677836537852	0.666024114255382
86	1910	2568.34608981933	317.827647657348	-658.346089819334	0.853416890621681
87	3157	3425.90847011112	653.145240041242	-268.90847011112	0.648728806344753
88	4809	4154.85778555953	700.219527759209	654.142214440466	0.0911403431309937
89	6249	5459.08006840338	1075.50540844072	789.919931596624	0.726932376263585
90	4607	4713.31352075369	-56.8412517786487	-106.313520753689	-2.19259576296417
91	4975	4787.11095200056	24.3701799032697	187.889047999438	0.157139646460872
92	4784	4588.60491897319	-114.067526114886	195.395081026811	-0.2677872916229
93	3028	3382.00125456323	-792.18408430315	-354.001254563235	-1.31210428673968
94	2461	2877.34071368992	-613.750227439413	-416.340713689917	0.34543954715945
95	2218	2144.41312667722	-687.739759667599	73.5868733227813	-0.143284989315093
96	1351	1735.73190014609	-514.405052896506	-384.731900146089	0.335620891068544
97	2070	1888.55103156473	-99.9544293654216	181.448968435274	0.802068811489549
98	1887	2560.06548152772	378.929094143187	-673.065481527719	0.926382961992347
99	3024	3345.65740970475	631.136117120872	-321.657409704754	0.487965192236348
100	4596	4096.62931030521	705.4321086516	499.370689694786	0.143835685173949
101	6398	4935.9585755297	788.482966462331	1462.0414244703	0.160849158215233
102	4459	4949.33104380843	307.445460269727	-490.331043808431	-0.931404257648539
103	5382	5063.01017554105	187.202538215894	318.989824458948	-0.232677103783089
104	4359	4142.24775658569	-499.86307161974	216.752243414309	-1.32909965585818
105	2687	3176.44736539605	-788.591455632541	-489.447365396048	-0.558667675775332
106	2249	2494.63226941028	-722.436689734997	-245.632269410275	0.128069158279367
107	2154	2060.57590170773	-543.700041574982	93.424098292271	0.346120753020833
108	1169	1744.75006156316	-402.399740022507	-575.750061563159	0.273580951610447
109	2429	2240.45876355988	154.501153002505	188.541236440118	1.07772789595826
110	1762	2612.01831124216	289.013428870104	-850.01831124216	0.260220325651241
111	2846	3189.24798423683	467.485598216027	-343.247984236831	0.34531865446901
112	5627	4811.85645738748	1182.57951976071	815.143542612519	1.38434483762707
113	5749	4637.94842563993	342.507864696509	1111.05157436007	-1.62684638093375
114	4502	4825.05245871224	246.219704990167	-323.052458712236	-0.186427992500327
115	5720	4977.00987292183	187.817558510491	742.99012707817	-0.113015679304669
116	4403	4290.68211807736	-353.442037978113	112.317881922636	-1.04709903673015
117	2867	3460.91325269764	-648.182989692413	-593.913252697638	-0.570307652113895
118	2635	2883.15199302175	-604.615364449787	-248.151993021751	0.0843400269723637
119	2059	2121.87279564873	-701.570892863281	-62.8727956487265	-0.187743223244766
120	1511	2128.93464246038	-262.8306089573	-617.934642460384	0.849436312917602
121	2359	2199.8898967176	-56.1728233221151	159.110103282402	0.399927742237299
122	1741	2659.32309935207	262.881994309996	-918.323099352065	0.617253205641011
123	2917	3496.4571872666	617.990493142865	-579.457187266601	0.687107299608216
124	6249	4762.3843737375	1018.57360693979	1486.6156262625	0.775455655704204
125	5760	4979.10978294276	522.67257662593	780.890217057244	-0.960259225566432
126	6250	6196.45116638723	952.470330222245	53.5488336127749	0.83211222990428
127	5134	4901.61588766256	-437.917853708548	232.384112337442	-2.6906444055114
128	4831	4367.57755208884	-497.354789416686	463.422447911156	-0.114989899542091
129	3695	4165.43860726952	-314.91405611804	-470.438607269518	0.353018448667647
130	2462	2976.39489450123	-855.024407237093	-514.394894501227	-1.04553487442651
131	2146	2298.94326844948	-745.272252953086	-152.943268449477	0.212510421104352
132	1579	2122.18724253867	-393.757755706733	-543.18724253867	0.680531343477684

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