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rwasp_structuraltimeseries.wasp

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Structural Time Series Models

Date of computation

Wed, 02 Dec 2009 13:43:12 -0700

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Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/Dec/02/t1259786700bp7p0e38nts7ltz.htm/, Retrieved Sun, 28 Apr 2024 17:27:01 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=62580, Retrieved Sun, 28 Apr 2024 17:27:01 +0000

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Estimated Impact

144

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

-     [Univariate Data Series] [data set] [2008-12-01 19:54:57] [b98453cac15ba1066b407e146608df68]
- RMP   [Structural Time Series Models] [] [2009-11-27 15:02:30] [b98453cac15ba1066b407e146608df68]
-   PD      [Structural Time Series Models] [WS09 - Local leve...] [2009-12-02 20:43:12] [0cc924834281808eda7297686c82928f] [Current]
- R PD        [Structural Time Series Models] [] [2010-12-07 09:56:13] [d7b28a0391ab3b2ddc9f9fba95a43f33] 

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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	2 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=62580&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=62580&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=62580&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	2 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

Structural Time Series Model
t	Observed	Level	Slope	Seasonal	Stand. Residuals
1	423.4	423.4	0	0	0
2	404.1	414.681615828779	-0.79705651882702	-1.93728484637907	-0.0748849046629789
3	500	451.460369099	1.96301562745611	10.7048791179609	0.33105286135969
4	472.6	461.92035405361	2.42724040973775	1.19894904926220	0.080670994278407
5	496.1	476.585110875684	2.95340393080522	5.10842524021229	0.120787400133489
6	562	511.918583769467	4.12152958075158	10.8796997287959	0.326151303350756
7	434.8	483.36101361428	3.07995286631461	-8.38288153604376	-0.332851874718943
8	538.2	504.404515559841	3.60474448313365	11.5128158055671	0.184140383918859
9	577.6	534.879736224004	4.34198399441463	9.21028925041608	0.276498908524525
10	518.1	530.278681808333	4.10796450356718	-0.987949681849582	-0.0922457911814492
11	625.2	568.257220577168	4.96141112643288	14.4621526986920	0.349928097632418
12	561.2	567.938170942389	4.83253310576678	-0.104420004486369	-0.0546163700688248
13	523.3	572.105013476562	4.89491405168368	-47.8183911310501	-0.00919973127486513
14	536.1	562.187699228511	4.43310186613281	-10.9255770722826	-0.133816320615445
15	607.3	577.399406168213	4.79974553977373	18.6389051112383	0.100182128668110
16	637.3	603.672299247585	5.38706338991811	9.45223287896997	0.211532665589422
17	606.9	608.502827307186	5.37483467316522	-0.950844547061103	-0.00564945171623517
18	652.9	622.119088800349	5.52807326885415	20.9410222413410	0.084853066246064
19	617.2	627.547305804706	5.52641884647024	-10.2269552614216	-0.00103529745057395
20	670.4	643.566830445431	5.68743458374923	14.1238750253802	0.109187500165899
21	729.9	675.802698841356	6.07459358960958	21.8533397546293	0.276810524347979
22	677.2	683.520905304843	6.09772562141712	-8.32039906787182	0.0171578244000113
23	710	691.273591909463	6.12008661265377	16.7103911967106	0.0172911155801777
24	844.3	752.365548572271	6.67933282384765	24.6177126429685	0.57569474685432
25	748.2	777.59647839865	6.03121236921146	-53.9259589268945	0.219212382849823
26	653.9	741.138467698815	5.34676458649737	-39.9442839008349	-0.417958907922997
27	742.6	736.503594475234	5.1193925347843	16.9095226695473	-0.096937755290350
28	854.2	779.546856226033	5.87366316703624	31.9568568367488	0.380285134192497
29	808.4	797.389028923652	6.06923663547251	-2.84762212319504	0.122649098111375
30	1819	1170.15651069708	11.1366676903444	217.872836008404	3.80015891535140
31	1936.5	1488.28012587611	14.8987516905338	84.6909338240146	3.19929130714277
32	1966.1	1691.36922728271	17.0298511277811	51.0021300194606	1.96694818968353
33	2083.1	1849.50998201992	18.5486156662294	65.471507412887	1.47721516434563
34	1620.1	1788.4777369985	17.7261832801294	-73.436811757611	-0.833887993254807
35	1527.6	1694.65728535002	16.6717882644994	-33.7550595192486	-1.16984570448234
36	1795	1726.19201599965	16.7483788139583	50.9301593016458	0.156422452801543
37	1685.1	1760.34076960241	16.4555387359094	-97.1265453087756	0.194589179903709
38	1851.8	1824.19918622291	16.9218919230483	-26.5977918547481	0.481696763552767
39	2164.4	1960.53764821524	18.9332150880959	71.8644862312695	1.18763942944971
40	1981.8	1979.47479652846	18.9332779878966	2.32077025052791	3.98189781001649e-05
41	1726.5	1939.37886136656	18.1296235182491	-144.950031058440	-0.607563724682302
42	2144.6	1974.7923130348	18.3302201976358	149.664961888909	0.179625438413395
43	1758.2	1899.13047308939	17.3659908728787	-30.6418282790216	-0.981839150931345
44	1672.9	1816.22559675767	16.4204909906713	-25.2428046842766	-1.05024568558892
45	1837.3	1792.80645467560	16.0659004761360	91.5049021046926	-0.417898103098114
46	1596.1	1743.52800115373	15.5183945315555	-70.210851657177	-0.6860556357527
47	1446	1654.76417784715	14.7711028954023	-85.284521873523	-1.0958684107077
48	1898.4	1727.41590420138	14.9487957275431	102.020263968929	0.610623584245753
49	1964.1	1861.04976419486	13.9421765732852	-42.1591938061262	1.29270357376042
50	1755.9	1862.48411217444	13.8559090901685	-92.132150889158	-0.128962171458361
51	2255.3	1990.17034004615	15.3475786676892	137.512383421624	1.14950415400863
52	1881.2	1963.10006391371	14.7804943081271	-33.9229053299088	-0.432388162885295
53	2117.9	2080.50978582681	15.9961106998368	-80.4661267842994	1.05936803220661
54	1656.5	1880.20290960533	13.7773130051387	27.390221987977	-2.25165643708501
55	1544.1	1753.90771533616	12.5059259070236	-46.1741826399388	-1.46513487296703
56	2098.9	1877.47000313565	13.4266586630249	91.2347352244816	1.16468294381579
57	2133.3	1942.49910511026	13.8252903893520	130.180808765717	0.541963513517947
58	1963.5	1978.93098686500	13.9851713195094	-42.0292612880407	0.237644193091478
59	1801.2	1966.10319842372	13.8324159034571	-133.289056058794	-0.282124432613277
60	2365.4	2092.73407126232	14.0860404407878	138.958760602548	1.19117757119819
61	1936.5	2071.78207665818	14.2272948601356	-93.1080792983525	-0.376278806217526
62	1667.6	1978.78844622617	13.6464144891560	-186.733152716078	-1.11345639529800
63	1983.5	1927.78306376109	12.962650485947	128.942833260640	-0.659701973307434
64	2058.6	1995.57392398497	13.5883505236395	0.743690260151816	0.561960294236888
65	2448.3	2173.01149503698	15.3095151552976	87.1190956313598	1.69524300723591
66	1858.1	2058.68664583270	14.1068456028677	-50.3475590490785	-1.3510507818597
67	1625.4	1934.84652863461	12.9690761620916	-148.635292413847	-1.44417392948922
68	2130.6	1976.39287695622	13.1830798622253	120.777203758186	0.299952412488763
69	2515.7	2133.94521101020	14.1748973589787	212.509584883698	1.51756260181880
70	2230.2	2202.17826236837	14.5054764459158	-35.4542567700631	0.568748783384594
71	2086.9	2234.05589814963	14.5876076591898	-167.596093221383	0.182939477133200
72	2235	2189.90572881202	14.4708947643872	114.502439429009	-0.620417966237304
73	2100.2	2184.42537285255	14.5004052859691	-60.4498538718683	-0.212552185859943
74	2288.6	2292.50356683451	14.9332628256618	-112.757921127396	0.975540535709335
75	2490	2342.71872548968	15.2437089661143	107.024944595666	0.362650697387888
76	2573.7	2451.96924413409	16.1732639350564	14.4897244529040	0.967849557947195
77	2543.8	2452.76569912149	16.0285108241447	108.712075400525	-0.159421684123625
78	2004.7	2306.62130234491	14.6526230558671	-114.059869700991	-1.69184310816180
79	2390	2394.64187373071	15.2097974650261	-90.0876757891502	0.768604048349434
80	2338.4	2361.43475742451	14.8775509689728	33.544469182577	-0.508501667836641
81	2724.5	2426.80415528719	15.1907342646091	238.563235007658	0.531074532330278
82	2292.5	2404.33786085544	14.9876386803755	-67.6638149641772	-0.396423861622161
83	2386	2458.42793284984	15.1473524141049	-118.383274852990	0.411992538473963
84	2477.9	2438.09045135798	15.0775960910862	81.6509690256624	-0.374746211625817
85	2337	2443.87684561586	15.0771170248228	-95.874214394794	-0.0985211033689705
86	2605.1	2557.22525099611	15.4870396322428	-66.5662736083889	1.02681499152840
87	2560.8	2545.16301899572	15.2800292390497	47.2389521579837	-0.284660650886326
88	2839.3	2649.05489198203	16.0488255660766	88.7743203422224	0.915686935787295
89	2407.2	2523.57699703456	14.8464123661232	46.5665049617651	-1.47004283581418
90	2085.2	2415.59171377946	13.8878115060695	-188.083360113410	-1.28258112417302
91	2735.6	2557.63456336713	14.7900263003081	28.7696515393519	1.34329543921780
92	2798.7	2652.67717000838	15.2989649864161	52.2883829277495	0.843243234925903
93	3053.2	2722.64042473771	15.6085402854971	266.573236076617	0.575208881577013
94	2405	2651.85678697910	15.1902118076113	-145.567970819499	-0.909841148191891
95	2471.9	2631.60124309449	15.0606449165907	-118.074090159692	-0.373589867922924
96	2727.3	2645.29803489513	15.0578658894824	83.6075755735832	-0.0143987327864590
97	2790.7	2750.25840298078	15.1475446389026	-65.5897575590314	0.950619622651217
98	2385.4	2656.97056761019	14.7259312209612	-145.212663696169	-1.13470415528651
99	3206.6	2845.02599850767	15.8633057511006	161.963145975105	1.79791858199428
100	2705.6	2766.22739159178	15.1345934256816	48.1254107678746	-0.981206003165279
101	3518.4	3014.66607189713	16.9337009181384	234.697291023687	2.42745148945704
102	1954.9	2745.45148491047	14.8720388970241	-458.877676294272	-2.99044186614255
103	2584.3	2679.91275136416	14.3452339659046	-2.00502499422826	-0.843259468453997
104	2535.8	2615.69599597557	13.8822043049847	11.8428830372442	-0.82577610359993
105	2685.9	2538.2378708689	13.4055770850045	254.549053113237	-0.961436959811166
106	2866	2704.28898013606	14.0798540770138	-17.1945059219146	1.60804825770784
107	2236.6	2599.89671350018	13.6810622381244	-224.239518588987	-1.24891539579506
108	2934.9	2698.60906786369	13.8626526041147	136.310673994245	0.897397860258287
109	2668.6	2717.65110336349	13.8709089387702	-55.1434237360001	0.0546727393183424
110	2371.2	2673.05942045597	13.6549473201582	-233.705256149577	-0.6124209648126
111	3165.9	2790.35974383382	14.2601597808862	255.82761492746	1.07823695045743
112	2887.2	2839.57475916538	14.5013424591777	7.35649226674583	0.363242017332657
113	3112.2	2831.36679506593	14.3415894715205	307.061721915677	-0.236645570305387
114	2671.2	2934.6273847807	14.9346663846294	-366.557661306286	0.930013829035987
115	2432.6	2761.99644584600	13.7881684114683	-111.019332674058	-1.96785534708222
116	2812.3	2766.61741203591	13.7377415660165	56.3865451288016	-0.0963861001898183
117	3095.7	2813.79118085573	13.8997538714006	242.788194144845	0.3520256798499
118	2862.9	2837.32535856298	13.9391151715575	14.2855328265236	0.101514311857133
119	2607.3	2854.00993551540	13.9478119417654	-249.931027717017	0.0289453637617892
120	2862.5	2817.9611438155	13.8363005281297	103.267604395130	-0.527483258536329

\begin{tabular}{lllllllll}
\hline
Structural Time Series Model \tabularnewline
t & Observed & Level & Slope & Seasonal & Stand. Residuals \tabularnewline
1 & 423.4 & 423.4 & 0 & 0 & 0 \tabularnewline
2 & 404.1 & 414.681615828779 & -0.79705651882702 & -1.93728484637907 & -0.0748849046629789 \tabularnewline
3 & 500 & 451.460369099 & 1.96301562745611 & 10.7048791179609 & 0.33105286135969 \tabularnewline
4 & 472.6 & 461.92035405361 & 2.42724040973775 & 1.19894904926220 & 0.080670994278407 \tabularnewline
5 & 496.1 & 476.585110875684 & 2.95340393080522 & 5.10842524021229 & 0.120787400133489 \tabularnewline
6 & 562 & 511.918583769467 & 4.12152958075158 & 10.8796997287959 & 0.326151303350756 \tabularnewline
7 & 434.8 & 483.36101361428 & 3.07995286631461 & -8.38288153604376 & -0.332851874718943 \tabularnewline
8 & 538.2 & 504.404515559841 & 3.60474448313365 & 11.5128158055671 & 0.184140383918859 \tabularnewline
9 & 577.6 & 534.879736224004 & 4.34198399441463 & 9.21028925041608 & 0.276498908524525 \tabularnewline
10 & 518.1 & 530.278681808333 & 4.10796450356718 & -0.987949681849582 & -0.0922457911814492 \tabularnewline
11 & 625.2 & 568.257220577168 & 4.96141112643288 & 14.4621526986920 & 0.349928097632418 \tabularnewline
12 & 561.2 & 567.938170942389 & 4.83253310576678 & -0.104420004486369 & -0.0546163700688248 \tabularnewline
13 & 523.3 & 572.105013476562 & 4.89491405168368 & -47.8183911310501 & -0.00919973127486513 \tabularnewline
14 & 536.1 & 562.187699228511 & 4.43310186613281 & -10.9255770722826 & -0.133816320615445 \tabularnewline
15 & 607.3 & 577.399406168213 & 4.79974553977373 & 18.6389051112383 & 0.100182128668110 \tabularnewline
16 & 637.3 & 603.672299247585 & 5.38706338991811 & 9.45223287896997 & 0.211532665589422 \tabularnewline
17 & 606.9 & 608.502827307186 & 5.37483467316522 & -0.950844547061103 & -0.00564945171623517 \tabularnewline
18 & 652.9 & 622.119088800349 & 5.52807326885415 & 20.9410222413410 & 0.084853066246064 \tabularnewline
19 & 617.2 & 627.547305804706 & 5.52641884647024 & -10.2269552614216 & -0.00103529745057395 \tabularnewline
20 & 670.4 & 643.566830445431 & 5.68743458374923 & 14.1238750253802 & 0.109187500165899 \tabularnewline
21 & 729.9 & 675.802698841356 & 6.07459358960958 & 21.8533397546293 & 0.276810524347979 \tabularnewline
22 & 677.2 & 683.520905304843 & 6.09772562141712 & -8.32039906787182 & 0.0171578244000113 \tabularnewline
23 & 710 & 691.273591909463 & 6.12008661265377 & 16.7103911967106 & 0.0172911155801777 \tabularnewline
24 & 844.3 & 752.365548572271 & 6.67933282384765 & 24.6177126429685 & 0.57569474685432 \tabularnewline
25 & 748.2 & 777.59647839865 & 6.03121236921146 & -53.9259589268945 & 0.219212382849823 \tabularnewline
26 & 653.9 & 741.138467698815 & 5.34676458649737 & -39.9442839008349 & -0.417958907922997 \tabularnewline
27 & 742.6 & 736.503594475234 & 5.1193925347843 & 16.9095226695473 & -0.096937755290350 \tabularnewline
28 & 854.2 & 779.546856226033 & 5.87366316703624 & 31.9568568367488 & 0.380285134192497 \tabularnewline
29 & 808.4 & 797.389028923652 & 6.06923663547251 & -2.84762212319504 & 0.122649098111375 \tabularnewline
30 & 1819 & 1170.15651069708 & 11.1366676903444 & 217.872836008404 & 3.80015891535140 \tabularnewline
31 & 1936.5 & 1488.28012587611 & 14.8987516905338 & 84.6909338240146 & 3.19929130714277 \tabularnewline
32 & 1966.1 & 1691.36922728271 & 17.0298511277811 & 51.0021300194606 & 1.96694818968353 \tabularnewline
33 & 2083.1 & 1849.50998201992 & 18.5486156662294 & 65.471507412887 & 1.47721516434563 \tabularnewline
34 & 1620.1 & 1788.4777369985 & 17.7261832801294 & -73.436811757611 & -0.833887993254807 \tabularnewline
35 & 1527.6 & 1694.65728535002 & 16.6717882644994 & -33.7550595192486 & -1.16984570448234 \tabularnewline
36 & 1795 & 1726.19201599965 & 16.7483788139583 & 50.9301593016458 & 0.156422452801543 \tabularnewline
37 & 1685.1 & 1760.34076960241 & 16.4555387359094 & -97.1265453087756 & 0.194589179903709 \tabularnewline
38 & 1851.8 & 1824.19918622291 & 16.9218919230483 & -26.5977918547481 & 0.481696763552767 \tabularnewline
39 & 2164.4 & 1960.53764821524 & 18.9332150880959 & 71.8644862312695 & 1.18763942944971 \tabularnewline
40 & 1981.8 & 1979.47479652846 & 18.9332779878966 & 2.32077025052791 & 3.98189781001649e-05 \tabularnewline
41 & 1726.5 & 1939.37886136656 & 18.1296235182491 & -144.950031058440 & -0.607563724682302 \tabularnewline
42 & 2144.6 & 1974.7923130348 & 18.3302201976358 & 149.664961888909 & 0.179625438413395 \tabularnewline
43 & 1758.2 & 1899.13047308939 & 17.3659908728787 & -30.6418282790216 & -0.981839150931345 \tabularnewline
44 & 1672.9 & 1816.22559675767 & 16.4204909906713 & -25.2428046842766 & -1.05024568558892 \tabularnewline
45 & 1837.3 & 1792.80645467560 & 16.0659004761360 & 91.5049021046926 & -0.417898103098114 \tabularnewline
46 & 1596.1 & 1743.52800115373 & 15.5183945315555 & -70.210851657177 & -0.6860556357527 \tabularnewline
47 & 1446 & 1654.76417784715 & 14.7711028954023 & -85.284521873523 & -1.0958684107077 \tabularnewline
48 & 1898.4 & 1727.41590420138 & 14.9487957275431 & 102.020263968929 & 0.610623584245753 \tabularnewline
49 & 1964.1 & 1861.04976419486 & 13.9421765732852 & -42.1591938061262 & 1.29270357376042 \tabularnewline
50 & 1755.9 & 1862.48411217444 & 13.8559090901685 & -92.132150889158 & -0.128962171458361 \tabularnewline
51 & 2255.3 & 1990.17034004615 & 15.3475786676892 & 137.512383421624 & 1.14950415400863 \tabularnewline
52 & 1881.2 & 1963.10006391371 & 14.7804943081271 & -33.9229053299088 & -0.432388162885295 \tabularnewline
53 & 2117.9 & 2080.50978582681 & 15.9961106998368 & -80.4661267842994 & 1.05936803220661 \tabularnewline
54 & 1656.5 & 1880.20290960533 & 13.7773130051387 & 27.390221987977 & -2.25165643708501 \tabularnewline
55 & 1544.1 & 1753.90771533616 & 12.5059259070236 & -46.1741826399388 & -1.46513487296703 \tabularnewline
56 & 2098.9 & 1877.47000313565 & 13.4266586630249 & 91.2347352244816 & 1.16468294381579 \tabularnewline
57 & 2133.3 & 1942.49910511026 & 13.8252903893520 & 130.180808765717 & 0.541963513517947 \tabularnewline
58 & 1963.5 & 1978.93098686500 & 13.9851713195094 & -42.0292612880407 & 0.237644193091478 \tabularnewline
59 & 1801.2 & 1966.10319842372 & 13.8324159034571 & -133.289056058794 & -0.282124432613277 \tabularnewline
60 & 2365.4 & 2092.73407126232 & 14.0860404407878 & 138.958760602548 & 1.19117757119819 \tabularnewline
61 & 1936.5 & 2071.78207665818 & 14.2272948601356 & -93.1080792983525 & -0.376278806217526 \tabularnewline
62 & 1667.6 & 1978.78844622617 & 13.6464144891560 & -186.733152716078 & -1.11345639529800 \tabularnewline
63 & 1983.5 & 1927.78306376109 & 12.962650485947 & 128.942833260640 & -0.659701973307434 \tabularnewline
64 & 2058.6 & 1995.57392398497 & 13.5883505236395 & 0.743690260151816 & 0.561960294236888 \tabularnewline
65 & 2448.3 & 2173.01149503698 & 15.3095151552976 & 87.1190956313598 & 1.69524300723591 \tabularnewline
66 & 1858.1 & 2058.68664583270 & 14.1068456028677 & -50.3475590490785 & -1.3510507818597 \tabularnewline
67 & 1625.4 & 1934.84652863461 & 12.9690761620916 & -148.635292413847 & -1.44417392948922 \tabularnewline
68 & 2130.6 & 1976.39287695622 & 13.1830798622253 & 120.777203758186 & 0.299952412488763 \tabularnewline
69 & 2515.7 & 2133.94521101020 & 14.1748973589787 & 212.509584883698 & 1.51756260181880 \tabularnewline
70 & 2230.2 & 2202.17826236837 & 14.5054764459158 & -35.4542567700631 & 0.568748783384594 \tabularnewline
71 & 2086.9 & 2234.05589814963 & 14.5876076591898 & -167.596093221383 & 0.182939477133200 \tabularnewline
72 & 2235 & 2189.90572881202 & 14.4708947643872 & 114.502439429009 & -0.620417966237304 \tabularnewline
73 & 2100.2 & 2184.42537285255 & 14.5004052859691 & -60.4498538718683 & -0.212552185859943 \tabularnewline
74 & 2288.6 & 2292.50356683451 & 14.9332628256618 & -112.757921127396 & 0.975540535709335 \tabularnewline
75 & 2490 & 2342.71872548968 & 15.2437089661143 & 107.024944595666 & 0.362650697387888 \tabularnewline
76 & 2573.7 & 2451.96924413409 & 16.1732639350564 & 14.4897244529040 & 0.967849557947195 \tabularnewline
77 & 2543.8 & 2452.76569912149 & 16.0285108241447 & 108.712075400525 & -0.159421684123625 \tabularnewline
78 & 2004.7 & 2306.62130234491 & 14.6526230558671 & -114.059869700991 & -1.69184310816180 \tabularnewline
79 & 2390 & 2394.64187373071 & 15.2097974650261 & -90.0876757891502 & 0.768604048349434 \tabularnewline
80 & 2338.4 & 2361.43475742451 & 14.8775509689728 & 33.544469182577 & -0.508501667836641 \tabularnewline
81 & 2724.5 & 2426.80415528719 & 15.1907342646091 & 238.563235007658 & 0.531074532330278 \tabularnewline
82 & 2292.5 & 2404.33786085544 & 14.9876386803755 & -67.6638149641772 & -0.396423861622161 \tabularnewline
83 & 2386 & 2458.42793284984 & 15.1473524141049 & -118.383274852990 & 0.411992538473963 \tabularnewline
84 & 2477.9 & 2438.09045135798 & 15.0775960910862 & 81.6509690256624 & -0.374746211625817 \tabularnewline
85 & 2337 & 2443.87684561586 & 15.0771170248228 & -95.874214394794 & -0.0985211033689705 \tabularnewline
86 & 2605.1 & 2557.22525099611 & 15.4870396322428 & -66.5662736083889 & 1.02681499152840 \tabularnewline
87 & 2560.8 & 2545.16301899572 & 15.2800292390497 & 47.2389521579837 & -0.284660650886326 \tabularnewline
88 & 2839.3 & 2649.05489198203 & 16.0488255660766 & 88.7743203422224 & 0.915686935787295 \tabularnewline
89 & 2407.2 & 2523.57699703456 & 14.8464123661232 & 46.5665049617651 & -1.47004283581418 \tabularnewline
90 & 2085.2 & 2415.59171377946 & 13.8878115060695 & -188.083360113410 & -1.28258112417302 \tabularnewline
91 & 2735.6 & 2557.63456336713 & 14.7900263003081 & 28.7696515393519 & 1.34329543921780 \tabularnewline
92 & 2798.7 & 2652.67717000838 & 15.2989649864161 & 52.2883829277495 & 0.843243234925903 \tabularnewline
93 & 3053.2 & 2722.64042473771 & 15.6085402854971 & 266.573236076617 & 0.575208881577013 \tabularnewline
94 & 2405 & 2651.85678697910 & 15.1902118076113 & -145.567970819499 & -0.909841148191891 \tabularnewline
95 & 2471.9 & 2631.60124309449 & 15.0606449165907 & -118.074090159692 & -0.373589867922924 \tabularnewline
96 & 2727.3 & 2645.29803489513 & 15.0578658894824 & 83.6075755735832 & -0.0143987327864590 \tabularnewline
97 & 2790.7 & 2750.25840298078 & 15.1475446389026 & -65.5897575590314 & 0.950619622651217 \tabularnewline
98 & 2385.4 & 2656.97056761019 & 14.7259312209612 & -145.212663696169 & -1.13470415528651 \tabularnewline
99 & 3206.6 & 2845.02599850767 & 15.8633057511006 & 161.963145975105 & 1.79791858199428 \tabularnewline
100 & 2705.6 & 2766.22739159178 & 15.1345934256816 & 48.1254107678746 & -0.981206003165279 \tabularnewline
101 & 3518.4 & 3014.66607189713 & 16.9337009181384 & 234.697291023687 & 2.42745148945704 \tabularnewline
102 & 1954.9 & 2745.45148491047 & 14.8720388970241 & -458.877676294272 & -2.99044186614255 \tabularnewline
103 & 2584.3 & 2679.91275136416 & 14.3452339659046 & -2.00502499422826 & -0.843259468453997 \tabularnewline
104 & 2535.8 & 2615.69599597557 & 13.8822043049847 & 11.8428830372442 & -0.82577610359993 \tabularnewline
105 & 2685.9 & 2538.2378708689 & 13.4055770850045 & 254.549053113237 & -0.961436959811166 \tabularnewline
106 & 2866 & 2704.28898013606 & 14.0798540770138 & -17.1945059219146 & 1.60804825770784 \tabularnewline
107 & 2236.6 & 2599.89671350018 & 13.6810622381244 & -224.239518588987 & -1.24891539579506 \tabularnewline
108 & 2934.9 & 2698.60906786369 & 13.8626526041147 & 136.310673994245 & 0.897397860258287 \tabularnewline
109 & 2668.6 & 2717.65110336349 & 13.8709089387702 & -55.1434237360001 & 0.0546727393183424 \tabularnewline
110 & 2371.2 & 2673.05942045597 & 13.6549473201582 & -233.705256149577 & -0.6124209648126 \tabularnewline
111 & 3165.9 & 2790.35974383382 & 14.2601597808862 & 255.82761492746 & 1.07823695045743 \tabularnewline
112 & 2887.2 & 2839.57475916538 & 14.5013424591777 & 7.35649226674583 & 0.363242017332657 \tabularnewline
113 & 3112.2 & 2831.36679506593 & 14.3415894715205 & 307.061721915677 & -0.236645570305387 \tabularnewline
114 & 2671.2 & 2934.6273847807 & 14.9346663846294 & -366.557661306286 & 0.930013829035987 \tabularnewline
115 & 2432.6 & 2761.99644584600 & 13.7881684114683 & -111.019332674058 & -1.96785534708222 \tabularnewline
116 & 2812.3 & 2766.61741203591 & 13.7377415660165 & 56.3865451288016 & -0.0963861001898183 \tabularnewline
117 & 3095.7 & 2813.79118085573 & 13.8997538714006 & 242.788194144845 & 0.3520256798499 \tabularnewline
118 & 2862.9 & 2837.32535856298 & 13.9391151715575 & 14.2855328265236 & 0.101514311857133 \tabularnewline
119 & 2607.3 & 2854.00993551540 & 13.9478119417654 & -249.931027717017 & 0.0289453637617892 \tabularnewline
120 & 2862.5 & 2817.9611438155 & 13.8363005281297 & 103.267604395130 & -0.527483258536329 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=62580&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]423.4[/C][C]423.4[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]404.1[/C][C]414.681615828779[/C][C]-0.79705651882702[/C][C]-1.93728484637907[/C][C]-0.0748849046629789[/C][/ROW]
[ROW][C]3[/C][C]500[/C][C]451.460369099[/C][C]1.96301562745611[/C][C]10.7048791179609[/C][C]0.33105286135969[/C][/ROW]
[ROW][C]4[/C][C]472.6[/C][C]461.92035405361[/C][C]2.42724040973775[/C][C]1.19894904926220[/C][C]0.080670994278407[/C][/ROW]
[ROW][C]5[/C][C]496.1[/C][C]476.585110875684[/C][C]2.95340393080522[/C][C]5.10842524021229[/C][C]0.120787400133489[/C][/ROW]
[ROW][C]6[/C][C]562[/C][C]511.918583769467[/C][C]4.12152958075158[/C][C]10.8796997287959[/C][C]0.326151303350756[/C][/ROW]
[ROW][C]7[/C][C]434.8[/C][C]483.36101361428[/C][C]3.07995286631461[/C][C]-8.38288153604376[/C][C]-0.332851874718943[/C][/ROW]
[ROW][C]8[/C][C]538.2[/C][C]504.404515559841[/C][C]3.60474448313365[/C][C]11.5128158055671[/C][C]0.184140383918859[/C][/ROW]
[ROW][C]9[/C][C]577.6[/C][C]534.879736224004[/C][C]4.34198399441463[/C][C]9.21028925041608[/C][C]0.276498908524525[/C][/ROW]
[ROW][C]10[/C][C]518.1[/C][C]530.278681808333[/C][C]4.10796450356718[/C][C]-0.987949681849582[/C][C]-0.0922457911814492[/C][/ROW]
[ROW][C]11[/C][C]625.2[/C][C]568.257220577168[/C][C]4.96141112643288[/C][C]14.4621526986920[/C][C]0.349928097632418[/C][/ROW]
[ROW][C]12[/C][C]561.2[/C][C]567.938170942389[/C][C]4.83253310576678[/C][C]-0.104420004486369[/C][C]-0.0546163700688248[/C][/ROW]
[ROW][C]13[/C][C]523.3[/C][C]572.105013476562[/C][C]4.89491405168368[/C][C]-47.8183911310501[/C][C]-0.00919973127486513[/C][/ROW]
[ROW][C]14[/C][C]536.1[/C][C]562.187699228511[/C][C]4.43310186613281[/C][C]-10.9255770722826[/C][C]-0.133816320615445[/C][/ROW]
[ROW][C]15[/C][C]607.3[/C][C]577.399406168213[/C][C]4.79974553977373[/C][C]18.6389051112383[/C][C]0.100182128668110[/C][/ROW]
[ROW][C]16[/C][C]637.3[/C][C]603.672299247585[/C][C]5.38706338991811[/C][C]9.45223287896997[/C][C]0.211532665589422[/C][/ROW]
[ROW][C]17[/C][C]606.9[/C][C]608.502827307186[/C][C]5.37483467316522[/C][C]-0.950844547061103[/C][C]-0.00564945171623517[/C][/ROW]
[ROW][C]18[/C][C]652.9[/C][C]622.119088800349[/C][C]5.52807326885415[/C][C]20.9410222413410[/C][C]0.084853066246064[/C][/ROW]
[ROW][C]19[/C][C]617.2[/C][C]627.547305804706[/C][C]5.52641884647024[/C][C]-10.2269552614216[/C][C]-0.00103529745057395[/C][/ROW]
[ROW][C]20[/C][C]670.4[/C][C]643.566830445431[/C][C]5.68743458374923[/C][C]14.1238750253802[/C][C]0.109187500165899[/C][/ROW]
[ROW][C]21[/C][C]729.9[/C][C]675.802698841356[/C][C]6.07459358960958[/C][C]21.8533397546293[/C][C]0.276810524347979[/C][/ROW]
[ROW][C]22[/C][C]677.2[/C][C]683.520905304843[/C][C]6.09772562141712[/C][C]-8.32039906787182[/C][C]0.0171578244000113[/C][/ROW]
[ROW][C]23[/C][C]710[/C][C]691.273591909463[/C][C]6.12008661265377[/C][C]16.7103911967106[/C][C]0.0172911155801777[/C][/ROW]
[ROW][C]24[/C][C]844.3[/C][C]752.365548572271[/C][C]6.67933282384765[/C][C]24.6177126429685[/C][C]0.57569474685432[/C][/ROW]
[ROW][C]25[/C][C]748.2[/C][C]777.59647839865[/C][C]6.03121236921146[/C][C]-53.9259589268945[/C][C]0.219212382849823[/C][/ROW]
[ROW][C]26[/C][C]653.9[/C][C]741.138467698815[/C][C]5.34676458649737[/C][C]-39.9442839008349[/C][C]-0.417958907922997[/C][/ROW]
[ROW][C]27[/C][C]742.6[/C][C]736.503594475234[/C][C]5.1193925347843[/C][C]16.9095226695473[/C][C]-0.096937755290350[/C][/ROW]
[ROW][C]28[/C][C]854.2[/C][C]779.546856226033[/C][C]5.87366316703624[/C][C]31.9568568367488[/C][C]0.380285134192497[/C][/ROW]
[ROW][C]29[/C][C]808.4[/C][C]797.389028923652[/C][C]6.06923663547251[/C][C]-2.84762212319504[/C][C]0.122649098111375[/C][/ROW]
[ROW][C]30[/C][C]1819[/C][C]1170.15651069708[/C][C]11.1366676903444[/C][C]217.872836008404[/C][C]3.80015891535140[/C][/ROW]
[ROW][C]31[/C][C]1936.5[/C][C]1488.28012587611[/C][C]14.8987516905338[/C][C]84.6909338240146[/C][C]3.19929130714277[/C][/ROW]
[ROW][C]32[/C][C]1966.1[/C][C]1691.36922728271[/C][C]17.0298511277811[/C][C]51.0021300194606[/C][C]1.96694818968353[/C][/ROW]
[ROW][C]33[/C][C]2083.1[/C][C]1849.50998201992[/C][C]18.5486156662294[/C][C]65.471507412887[/C][C]1.47721516434563[/C][/ROW]
[ROW][C]34[/C][C]1620.1[/C][C]1788.4777369985[/C][C]17.7261832801294[/C][C]-73.436811757611[/C][C]-0.833887993254807[/C][/ROW]
[ROW][C]35[/C][C]1527.6[/C][C]1694.65728535002[/C][C]16.6717882644994[/C][C]-33.7550595192486[/C][C]-1.16984570448234[/C][/ROW]
[ROW][C]36[/C][C]1795[/C][C]1726.19201599965[/C][C]16.7483788139583[/C][C]50.9301593016458[/C][C]0.156422452801543[/C][/ROW]
[ROW][C]37[/C][C]1685.1[/C][C]1760.34076960241[/C][C]16.4555387359094[/C][C]-97.1265453087756[/C][C]0.194589179903709[/C][/ROW]
[ROW][C]38[/C][C]1851.8[/C][C]1824.19918622291[/C][C]16.9218919230483[/C][C]-26.5977918547481[/C][C]0.481696763552767[/C][/ROW]
[ROW][C]39[/C][C]2164.4[/C][C]1960.53764821524[/C][C]18.9332150880959[/C][C]71.8644862312695[/C][C]1.18763942944971[/C][/ROW]
[ROW][C]40[/C][C]1981.8[/C][C]1979.47479652846[/C][C]18.9332779878966[/C][C]2.32077025052791[/C][C]3.98189781001649e-05[/C][/ROW]
[ROW][C]41[/C][C]1726.5[/C][C]1939.37886136656[/C][C]18.1296235182491[/C][C]-144.950031058440[/C][C]-0.607563724682302[/C][/ROW]
[ROW][C]42[/C][C]2144.6[/C][C]1974.7923130348[/C][C]18.3302201976358[/C][C]149.664961888909[/C][C]0.179625438413395[/C][/ROW]
[ROW][C]43[/C][C]1758.2[/C][C]1899.13047308939[/C][C]17.3659908728787[/C][C]-30.6418282790216[/C][C]-0.981839150931345[/C][/ROW]
[ROW][C]44[/C][C]1672.9[/C][C]1816.22559675767[/C][C]16.4204909906713[/C][C]-25.2428046842766[/C][C]-1.05024568558892[/C][/ROW]
[ROW][C]45[/C][C]1837.3[/C][C]1792.80645467560[/C][C]16.0659004761360[/C][C]91.5049021046926[/C][C]-0.417898103098114[/C][/ROW]
[ROW][C]46[/C][C]1596.1[/C][C]1743.52800115373[/C][C]15.5183945315555[/C][C]-70.210851657177[/C][C]-0.6860556357527[/C][/ROW]
[ROW][C]47[/C][C]1446[/C][C]1654.76417784715[/C][C]14.7711028954023[/C][C]-85.284521873523[/C][C]-1.0958684107077[/C][/ROW]
[ROW][C]48[/C][C]1898.4[/C][C]1727.41590420138[/C][C]14.9487957275431[/C][C]102.020263968929[/C][C]0.610623584245753[/C][/ROW]
[ROW][C]49[/C][C]1964.1[/C][C]1861.04976419486[/C][C]13.9421765732852[/C][C]-42.1591938061262[/C][C]1.29270357376042[/C][/ROW]
[ROW][C]50[/C][C]1755.9[/C][C]1862.48411217444[/C][C]13.8559090901685[/C][C]-92.132150889158[/C][C]-0.128962171458361[/C][/ROW]
[ROW][C]51[/C][C]2255.3[/C][C]1990.17034004615[/C][C]15.3475786676892[/C][C]137.512383421624[/C][C]1.14950415400863[/C][/ROW]
[ROW][C]52[/C][C]1881.2[/C][C]1963.10006391371[/C][C]14.7804943081271[/C][C]-33.9229053299088[/C][C]-0.432388162885295[/C][/ROW]
[ROW][C]53[/C][C]2117.9[/C][C]2080.50978582681[/C][C]15.9961106998368[/C][C]-80.4661267842994[/C][C]1.05936803220661[/C][/ROW]
[ROW][C]54[/C][C]1656.5[/C][C]1880.20290960533[/C][C]13.7773130051387[/C][C]27.390221987977[/C][C]-2.25165643708501[/C][/ROW]
[ROW][C]55[/C][C]1544.1[/C][C]1753.90771533616[/C][C]12.5059259070236[/C][C]-46.1741826399388[/C][C]-1.46513487296703[/C][/ROW]
[ROW][C]56[/C][C]2098.9[/C][C]1877.47000313565[/C][C]13.4266586630249[/C][C]91.2347352244816[/C][C]1.16468294381579[/C][/ROW]
[ROW][C]57[/C][C]2133.3[/C][C]1942.49910511026[/C][C]13.8252903893520[/C][C]130.180808765717[/C][C]0.541963513517947[/C][/ROW]
[ROW][C]58[/C][C]1963.5[/C][C]1978.93098686500[/C][C]13.9851713195094[/C][C]-42.0292612880407[/C][C]0.237644193091478[/C][/ROW]
[ROW][C]59[/C][C]1801.2[/C][C]1966.10319842372[/C][C]13.8324159034571[/C][C]-133.289056058794[/C][C]-0.282124432613277[/C][/ROW]
[ROW][C]60[/C][C]2365.4[/C][C]2092.73407126232[/C][C]14.0860404407878[/C][C]138.958760602548[/C][C]1.19117757119819[/C][/ROW]
[ROW][C]61[/C][C]1936.5[/C][C]2071.78207665818[/C][C]14.2272948601356[/C][C]-93.1080792983525[/C][C]-0.376278806217526[/C][/ROW]
[ROW][C]62[/C][C]1667.6[/C][C]1978.78844622617[/C][C]13.6464144891560[/C][C]-186.733152716078[/C][C]-1.11345639529800[/C][/ROW]
[ROW][C]63[/C][C]1983.5[/C][C]1927.78306376109[/C][C]12.962650485947[/C][C]128.942833260640[/C][C]-0.659701973307434[/C][/ROW]
[ROW][C]64[/C][C]2058.6[/C][C]1995.57392398497[/C][C]13.5883505236395[/C][C]0.743690260151816[/C][C]0.561960294236888[/C][/ROW]
[ROW][C]65[/C][C]2448.3[/C][C]2173.01149503698[/C][C]15.3095151552976[/C][C]87.1190956313598[/C][C]1.69524300723591[/C][/ROW]
[ROW][C]66[/C][C]1858.1[/C][C]2058.68664583270[/C][C]14.1068456028677[/C][C]-50.3475590490785[/C][C]-1.3510507818597[/C][/ROW]
[ROW][C]67[/C][C]1625.4[/C][C]1934.84652863461[/C][C]12.9690761620916[/C][C]-148.635292413847[/C][C]-1.44417392948922[/C][/ROW]
[ROW][C]68[/C][C]2130.6[/C][C]1976.39287695622[/C][C]13.1830798622253[/C][C]120.777203758186[/C][C]0.299952412488763[/C][/ROW]
[ROW][C]69[/C][C]2515.7[/C][C]2133.94521101020[/C][C]14.1748973589787[/C][C]212.509584883698[/C][C]1.51756260181880[/C][/ROW]
[ROW][C]70[/C][C]2230.2[/C][C]2202.17826236837[/C][C]14.5054764459158[/C][C]-35.4542567700631[/C][C]0.568748783384594[/C][/ROW]
[ROW][C]71[/C][C]2086.9[/C][C]2234.05589814963[/C][C]14.5876076591898[/C][C]-167.596093221383[/C][C]0.182939477133200[/C][/ROW]
[ROW][C]72[/C][C]2235[/C][C]2189.90572881202[/C][C]14.4708947643872[/C][C]114.502439429009[/C][C]-0.620417966237304[/C][/ROW]
[ROW][C]73[/C][C]2100.2[/C][C]2184.42537285255[/C][C]14.5004052859691[/C][C]-60.4498538718683[/C][C]-0.212552185859943[/C][/ROW]
[ROW][C]74[/C][C]2288.6[/C][C]2292.50356683451[/C][C]14.9332628256618[/C][C]-112.757921127396[/C][C]0.975540535709335[/C][/ROW]
[ROW][C]75[/C][C]2490[/C][C]2342.71872548968[/C][C]15.2437089661143[/C][C]107.024944595666[/C][C]0.362650697387888[/C][/ROW]
[ROW][C]76[/C][C]2573.7[/C][C]2451.96924413409[/C][C]16.1732639350564[/C][C]14.4897244529040[/C][C]0.967849557947195[/C][/ROW]
[ROW][C]77[/C][C]2543.8[/C][C]2452.76569912149[/C][C]16.0285108241447[/C][C]108.712075400525[/C][C]-0.159421684123625[/C][/ROW]
[ROW][C]78[/C][C]2004.7[/C][C]2306.62130234491[/C][C]14.6526230558671[/C][C]-114.059869700991[/C][C]-1.69184310816180[/C][/ROW]
[ROW][C]79[/C][C]2390[/C][C]2394.64187373071[/C][C]15.2097974650261[/C][C]-90.0876757891502[/C][C]0.768604048349434[/C][/ROW]
[ROW][C]80[/C][C]2338.4[/C][C]2361.43475742451[/C][C]14.8775509689728[/C][C]33.544469182577[/C][C]-0.508501667836641[/C][/ROW]
[ROW][C]81[/C][C]2724.5[/C][C]2426.80415528719[/C][C]15.1907342646091[/C][C]238.563235007658[/C][C]0.531074532330278[/C][/ROW]
[ROW][C]82[/C][C]2292.5[/C][C]2404.33786085544[/C][C]14.9876386803755[/C][C]-67.6638149641772[/C][C]-0.396423861622161[/C][/ROW]
[ROW][C]83[/C][C]2386[/C][C]2458.42793284984[/C][C]15.1473524141049[/C][C]-118.383274852990[/C][C]0.411992538473963[/C][/ROW]
[ROW][C]84[/C][C]2477.9[/C][C]2438.09045135798[/C][C]15.0775960910862[/C][C]81.6509690256624[/C][C]-0.374746211625817[/C][/ROW]
[ROW][C]85[/C][C]2337[/C][C]2443.87684561586[/C][C]15.0771170248228[/C][C]-95.874214394794[/C][C]-0.0985211033689705[/C][/ROW]
[ROW][C]86[/C][C]2605.1[/C][C]2557.22525099611[/C][C]15.4870396322428[/C][C]-66.5662736083889[/C][C]1.02681499152840[/C][/ROW]
[ROW][C]87[/C][C]2560.8[/C][C]2545.16301899572[/C][C]15.2800292390497[/C][C]47.2389521579837[/C][C]-0.284660650886326[/C][/ROW]
[ROW][C]88[/C][C]2839.3[/C][C]2649.05489198203[/C][C]16.0488255660766[/C][C]88.7743203422224[/C][C]0.915686935787295[/C][/ROW]
[ROW][C]89[/C][C]2407.2[/C][C]2523.57699703456[/C][C]14.8464123661232[/C][C]46.5665049617651[/C][C]-1.47004283581418[/C][/ROW]
[ROW][C]90[/C][C]2085.2[/C][C]2415.59171377946[/C][C]13.8878115060695[/C][C]-188.083360113410[/C][C]-1.28258112417302[/C][/ROW]
[ROW][C]91[/C][C]2735.6[/C][C]2557.63456336713[/C][C]14.7900263003081[/C][C]28.7696515393519[/C][C]1.34329543921780[/C][/ROW]
[ROW][C]92[/C][C]2798.7[/C][C]2652.67717000838[/C][C]15.2989649864161[/C][C]52.2883829277495[/C][C]0.843243234925903[/C][/ROW]
[ROW][C]93[/C][C]3053.2[/C][C]2722.64042473771[/C][C]15.6085402854971[/C][C]266.573236076617[/C][C]0.575208881577013[/C][/ROW]
[ROW][C]94[/C][C]2405[/C][C]2651.85678697910[/C][C]15.1902118076113[/C][C]-145.567970819499[/C][C]-0.909841148191891[/C][/ROW]
[ROW][C]95[/C][C]2471.9[/C][C]2631.60124309449[/C][C]15.0606449165907[/C][C]-118.074090159692[/C][C]-0.373589867922924[/C][/ROW]
[ROW][C]96[/C][C]2727.3[/C][C]2645.29803489513[/C][C]15.0578658894824[/C][C]83.6075755735832[/C][C]-0.0143987327864590[/C][/ROW]
[ROW][C]97[/C][C]2790.7[/C][C]2750.25840298078[/C][C]15.1475446389026[/C][C]-65.5897575590314[/C][C]0.950619622651217[/C][/ROW]
[ROW][C]98[/C][C]2385.4[/C][C]2656.97056761019[/C][C]14.7259312209612[/C][C]-145.212663696169[/C][C]-1.13470415528651[/C][/ROW]
[ROW][C]99[/C][C]3206.6[/C][C]2845.02599850767[/C][C]15.8633057511006[/C][C]161.963145975105[/C][C]1.79791858199428[/C][/ROW]
[ROW][C]100[/C][C]2705.6[/C][C]2766.22739159178[/C][C]15.1345934256816[/C][C]48.1254107678746[/C][C]-0.981206003165279[/C][/ROW]
[ROW][C]101[/C][C]3518.4[/C][C]3014.66607189713[/C][C]16.9337009181384[/C][C]234.697291023687[/C][C]2.42745148945704[/C][/ROW]
[ROW][C]102[/C][C]1954.9[/C][C]2745.45148491047[/C][C]14.8720388970241[/C][C]-458.877676294272[/C][C]-2.99044186614255[/C][/ROW]
[ROW][C]103[/C][C]2584.3[/C][C]2679.91275136416[/C][C]14.3452339659046[/C][C]-2.00502499422826[/C][C]-0.843259468453997[/C][/ROW]
[ROW][C]104[/C][C]2535.8[/C][C]2615.69599597557[/C][C]13.8822043049847[/C][C]11.8428830372442[/C][C]-0.82577610359993[/C][/ROW]
[ROW][C]105[/C][C]2685.9[/C][C]2538.2378708689[/C][C]13.4055770850045[/C][C]254.549053113237[/C][C]-0.961436959811166[/C][/ROW]
[ROW][C]106[/C][C]2866[/C][C]2704.28898013606[/C][C]14.0798540770138[/C][C]-17.1945059219146[/C][C]1.60804825770784[/C][/ROW]
[ROW][C]107[/C][C]2236.6[/C][C]2599.89671350018[/C][C]13.6810622381244[/C][C]-224.239518588987[/C][C]-1.24891539579506[/C][/ROW]
[ROW][C]108[/C][C]2934.9[/C][C]2698.60906786369[/C][C]13.8626526041147[/C][C]136.310673994245[/C][C]0.897397860258287[/C][/ROW]
[ROW][C]109[/C][C]2668.6[/C][C]2717.65110336349[/C][C]13.8709089387702[/C][C]-55.1434237360001[/C][C]0.0546727393183424[/C][/ROW]
[ROW][C]110[/C][C]2371.2[/C][C]2673.05942045597[/C][C]13.6549473201582[/C][C]-233.705256149577[/C][C]-0.6124209648126[/C][/ROW]
[ROW][C]111[/C][C]3165.9[/C][C]2790.35974383382[/C][C]14.2601597808862[/C][C]255.82761492746[/C][C]1.07823695045743[/C][/ROW]
[ROW][C]112[/C][C]2887.2[/C][C]2839.57475916538[/C][C]14.5013424591777[/C][C]7.35649226674583[/C][C]0.363242017332657[/C][/ROW]
[ROW][C]113[/C][C]3112.2[/C][C]2831.36679506593[/C][C]14.3415894715205[/C][C]307.061721915677[/C][C]-0.236645570305387[/C][/ROW]
[ROW][C]114[/C][C]2671.2[/C][C]2934.6273847807[/C][C]14.9346663846294[/C][C]-366.557661306286[/C][C]0.930013829035987[/C][/ROW]
[ROW][C]115[/C][C]2432.6[/C][C]2761.99644584600[/C][C]13.7881684114683[/C][C]-111.019332674058[/C][C]-1.96785534708222[/C][/ROW]
[ROW][C]116[/C][C]2812.3[/C][C]2766.61741203591[/C][C]13.7377415660165[/C][C]56.3865451288016[/C][C]-0.0963861001898183[/C][/ROW]
[ROW][C]117[/C][C]3095.7[/C][C]2813.79118085573[/C][C]13.8997538714006[/C][C]242.788194144845[/C][C]0.3520256798499[/C][/ROW]
[ROW][C]118[/C][C]2862.9[/C][C]2837.32535856298[/C][C]13.9391151715575[/C][C]14.2855328265236[/C][C]0.101514311857133[/C][/ROW]
[ROW][C]119[/C][C]2607.3[/C][C]2854.00993551540[/C][C]13.9478119417654[/C][C]-249.931027717017[/C][C]0.0289453637617892[/C][/ROW]
[ROW][C]120[/C][C]2862.5[/C][C]2817.9611438155[/C][C]13.8363005281297[/C][C]103.267604395130[/C][C]-0.527483258536329[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=62580&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=62580&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	423.4	423.4	0	0	0
2	404.1	414.681615828779	-0.79705651882702	-1.93728484637907	-0.0748849046629789
3	500	451.460369099	1.96301562745611	10.7048791179609	0.33105286135969
4	472.6	461.92035405361	2.42724040973775	1.19894904926220	0.080670994278407
5	496.1	476.585110875684	2.95340393080522	5.10842524021229	0.120787400133489
6	562	511.918583769467	4.12152958075158	10.8796997287959	0.326151303350756
7	434.8	483.36101361428	3.07995286631461	-8.38288153604376	-0.332851874718943
8	538.2	504.404515559841	3.60474448313365	11.5128158055671	0.184140383918859
9	577.6	534.879736224004	4.34198399441463	9.21028925041608	0.276498908524525
10	518.1	530.278681808333	4.10796450356718	-0.987949681849582	-0.0922457911814492
11	625.2	568.257220577168	4.96141112643288	14.4621526986920	0.349928097632418
12	561.2	567.938170942389	4.83253310576678	-0.104420004486369	-0.0546163700688248
13	523.3	572.105013476562	4.89491405168368	-47.8183911310501	-0.00919973127486513
14	536.1	562.187699228511	4.43310186613281	-10.9255770722826	-0.133816320615445
15	607.3	577.399406168213	4.79974553977373	18.6389051112383	0.100182128668110
16	637.3	603.672299247585	5.38706338991811	9.45223287896997	0.211532665589422
17	606.9	608.502827307186	5.37483467316522	-0.950844547061103	-0.00564945171623517
18	652.9	622.119088800349	5.52807326885415	20.9410222413410	0.084853066246064
19	617.2	627.547305804706	5.52641884647024	-10.2269552614216	-0.00103529745057395
20	670.4	643.566830445431	5.68743458374923	14.1238750253802	0.109187500165899
21	729.9	675.802698841356	6.07459358960958	21.8533397546293	0.276810524347979
22	677.2	683.520905304843	6.09772562141712	-8.32039906787182	0.0171578244000113
23	710	691.273591909463	6.12008661265377	16.7103911967106	0.0172911155801777
24	844.3	752.365548572271	6.67933282384765	24.6177126429685	0.57569474685432
25	748.2	777.59647839865	6.03121236921146	-53.9259589268945	0.219212382849823
26	653.9	741.138467698815	5.34676458649737	-39.9442839008349	-0.417958907922997
27	742.6	736.503594475234	5.1193925347843	16.9095226695473	-0.096937755290350
28	854.2	779.546856226033	5.87366316703624	31.9568568367488	0.380285134192497
29	808.4	797.389028923652	6.06923663547251	-2.84762212319504	0.122649098111375
30	1819	1170.15651069708	11.1366676903444	217.872836008404	3.80015891535140
31	1936.5	1488.28012587611	14.8987516905338	84.6909338240146	3.19929130714277
32	1966.1	1691.36922728271	17.0298511277811	51.0021300194606	1.96694818968353
33	2083.1	1849.50998201992	18.5486156662294	65.471507412887	1.47721516434563
34	1620.1	1788.4777369985	17.7261832801294	-73.436811757611	-0.833887993254807
35	1527.6	1694.65728535002	16.6717882644994	-33.7550595192486	-1.16984570448234
36	1795	1726.19201599965	16.7483788139583	50.9301593016458	0.156422452801543
37	1685.1	1760.34076960241	16.4555387359094	-97.1265453087756	0.194589179903709
38	1851.8	1824.19918622291	16.9218919230483	-26.5977918547481	0.481696763552767
39	2164.4	1960.53764821524	18.9332150880959	71.8644862312695	1.18763942944971
40	1981.8	1979.47479652846	18.9332779878966	2.32077025052791	3.98189781001649e-05
41	1726.5	1939.37886136656	18.1296235182491	-144.950031058440	-0.607563724682302
42	2144.6	1974.7923130348	18.3302201976358	149.664961888909	0.179625438413395
43	1758.2	1899.13047308939	17.3659908728787	-30.6418282790216	-0.981839150931345
44	1672.9	1816.22559675767	16.4204909906713	-25.2428046842766	-1.05024568558892
45	1837.3	1792.80645467560	16.0659004761360	91.5049021046926	-0.417898103098114
46	1596.1	1743.52800115373	15.5183945315555	-70.210851657177	-0.6860556357527
47	1446	1654.76417784715	14.7711028954023	-85.284521873523	-1.0958684107077
48	1898.4	1727.41590420138	14.9487957275431	102.020263968929	0.610623584245753
49	1964.1	1861.04976419486	13.9421765732852	-42.1591938061262	1.29270357376042
50	1755.9	1862.48411217444	13.8559090901685	-92.132150889158	-0.128962171458361
51	2255.3	1990.17034004615	15.3475786676892	137.512383421624	1.14950415400863
52	1881.2	1963.10006391371	14.7804943081271	-33.9229053299088	-0.432388162885295
53	2117.9	2080.50978582681	15.9961106998368	-80.4661267842994	1.05936803220661
54	1656.5	1880.20290960533	13.7773130051387	27.390221987977	-2.25165643708501
55	1544.1	1753.90771533616	12.5059259070236	-46.1741826399388	-1.46513487296703
56	2098.9	1877.47000313565	13.4266586630249	91.2347352244816	1.16468294381579
57	2133.3	1942.49910511026	13.8252903893520	130.180808765717	0.541963513517947
58	1963.5	1978.93098686500	13.9851713195094	-42.0292612880407	0.237644193091478
59	1801.2	1966.10319842372	13.8324159034571	-133.289056058794	-0.282124432613277
60	2365.4	2092.73407126232	14.0860404407878	138.958760602548	1.19117757119819
61	1936.5	2071.78207665818	14.2272948601356	-93.1080792983525	-0.376278806217526
62	1667.6	1978.78844622617	13.6464144891560	-186.733152716078	-1.11345639529800
63	1983.5	1927.78306376109	12.962650485947	128.942833260640	-0.659701973307434
64	2058.6	1995.57392398497	13.5883505236395	0.743690260151816	0.561960294236888
65	2448.3	2173.01149503698	15.3095151552976	87.1190956313598	1.69524300723591
66	1858.1	2058.68664583270	14.1068456028677	-50.3475590490785	-1.3510507818597
67	1625.4	1934.84652863461	12.9690761620916	-148.635292413847	-1.44417392948922
68	2130.6	1976.39287695622	13.1830798622253	120.777203758186	0.299952412488763
69	2515.7	2133.94521101020	14.1748973589787	212.509584883698	1.51756260181880
70	2230.2	2202.17826236837	14.5054764459158	-35.4542567700631	0.568748783384594
71	2086.9	2234.05589814963	14.5876076591898	-167.596093221383	0.182939477133200
72	2235	2189.90572881202	14.4708947643872	114.502439429009	-0.620417966237304
73	2100.2	2184.42537285255	14.5004052859691	-60.4498538718683	-0.212552185859943
74	2288.6	2292.50356683451	14.9332628256618	-112.757921127396	0.975540535709335
75	2490	2342.71872548968	15.2437089661143	107.024944595666	0.362650697387888
76	2573.7	2451.96924413409	16.1732639350564	14.4897244529040	0.967849557947195
77	2543.8	2452.76569912149	16.0285108241447	108.712075400525	-0.159421684123625
78	2004.7	2306.62130234491	14.6526230558671	-114.059869700991	-1.69184310816180
79	2390	2394.64187373071	15.2097974650261	-90.0876757891502	0.768604048349434
80	2338.4	2361.43475742451	14.8775509689728	33.544469182577	-0.508501667836641
81	2724.5	2426.80415528719	15.1907342646091	238.563235007658	0.531074532330278
82	2292.5	2404.33786085544	14.9876386803755	-67.6638149641772	-0.396423861622161
83	2386	2458.42793284984	15.1473524141049	-118.383274852990	0.411992538473963
84	2477.9	2438.09045135798	15.0775960910862	81.6509690256624	-0.374746211625817
85	2337	2443.87684561586	15.0771170248228	-95.874214394794	-0.0985211033689705
86	2605.1	2557.22525099611	15.4870396322428	-66.5662736083889	1.02681499152840
87	2560.8	2545.16301899572	15.2800292390497	47.2389521579837	-0.284660650886326
88	2839.3	2649.05489198203	16.0488255660766	88.7743203422224	0.915686935787295
89	2407.2	2523.57699703456	14.8464123661232	46.5665049617651	-1.47004283581418
90	2085.2	2415.59171377946	13.8878115060695	-188.083360113410	-1.28258112417302
91	2735.6	2557.63456336713	14.7900263003081	28.7696515393519	1.34329543921780
92	2798.7	2652.67717000838	15.2989649864161	52.2883829277495	0.843243234925903
93	3053.2	2722.64042473771	15.6085402854971	266.573236076617	0.575208881577013
94	2405	2651.85678697910	15.1902118076113	-145.567970819499	-0.909841148191891
95	2471.9	2631.60124309449	15.0606449165907	-118.074090159692	-0.373589867922924
96	2727.3	2645.29803489513	15.0578658894824	83.6075755735832	-0.0143987327864590
97	2790.7	2750.25840298078	15.1475446389026	-65.5897575590314	0.950619622651217
98	2385.4	2656.97056761019	14.7259312209612	-145.212663696169	-1.13470415528651
99	3206.6	2845.02599850767	15.8633057511006	161.963145975105	1.79791858199428
100	2705.6	2766.22739159178	15.1345934256816	48.1254107678746	-0.981206003165279
101	3518.4	3014.66607189713	16.9337009181384	234.697291023687	2.42745148945704
102	1954.9	2745.45148491047	14.8720388970241	-458.877676294272	-2.99044186614255
103	2584.3	2679.91275136416	14.3452339659046	-2.00502499422826	-0.843259468453997
104	2535.8	2615.69599597557	13.8822043049847	11.8428830372442	-0.82577610359993
105	2685.9	2538.2378708689	13.4055770850045	254.549053113237	-0.961436959811166
106	2866	2704.28898013606	14.0798540770138	-17.1945059219146	1.60804825770784
107	2236.6	2599.89671350018	13.6810622381244	-224.239518588987	-1.24891539579506
108	2934.9	2698.60906786369	13.8626526041147	136.310673994245	0.897397860258287
109	2668.6	2717.65110336349	13.8709089387702	-55.1434237360001	0.0546727393183424
110	2371.2	2673.05942045597	13.6549473201582	-233.705256149577	-0.6124209648126
111	3165.9	2790.35974383382	14.2601597808862	255.82761492746	1.07823695045743
112	2887.2	2839.57475916538	14.5013424591777	7.35649226674583	0.363242017332657
113	3112.2	2831.36679506593	14.3415894715205	307.061721915677	-0.236645570305387
114	2671.2	2934.6273847807	14.9346663846294	-366.557661306286	0.930013829035987
115	2432.6	2761.99644584600	13.7881684114683	-111.019332674058	-1.96785534708222
116	2812.3	2766.61741203591	13.7377415660165	56.3865451288016	-0.0963861001898183
117	3095.7	2813.79118085573	13.8997538714006	242.788194144845	0.3520256798499
118	2862.9	2837.32535856298	13.9391151715575	14.2855328265236	0.101514311857133
119	2607.3	2854.00993551540	13.9478119417654	-249.931027717017	0.0289453637617892
120	2862.5	2817.9611438155	13.8363005281297	103.267604395130	-0.527483258536329

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 = FALSE ; par2 = 1 ; par3 = 1 ; par4 = 1 ; par5 = 12 ; par6 = 3 ; par7 = 1 ; par8 = 2 ; par9 = 1 ;

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