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R Software Module

rwasp_structuraltimeseries.wasp

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Structural Time Series Models

Date of computation

Wed, 10 Dec 2014 15:56:34 +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/t14182270178me7dq5xl435ptl.htm/, Retrieved Sun, 12 May 2024 00:17:28 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=265440, Retrieved Sun, 12 May 2024 00:17:28 +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 15:56:34] [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	4 seconds
R Server	'George Udny Yule' @ yule.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 & 4 seconds \tabularnewline
R Server & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=265440&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]4 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=265440&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=265440&T=0

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	4 seconds
R Server	'George Udny Yule' @ yule.wessa.net

Structural Time Series Model
t	Observed	Level	Slope	Seasonal	Stand. Residuals
1	2132	2132	0	0	0
2	1964	2111.42867010073	3.71229823332826	-145.867120989689	-0.834006310766758
3	2209	2112.90744015543	3.54426749145927	96.1321634028063	-0.0253261212379439
4	1965	2062.48937529496	-1.52991102633122	-96.7031854497922	-0.572981710815074
5	2631	2212.42122015412	12.1818236171317	415.826499353119	1.95340614311615
6	2583	2359.63318999049	22.8827036370826	220.397393412644	2.01622946509542
7	2714	2506.11384686117	31.2176641728892	204.883976780258	1.98156386380823
8	2248	2504.60942640271	29.2965340276932	-255.780633476117	-0.539040148111592
9	2364	2472.70422284212	26.0106927693497	-107.131925016711	-1.01565166567068
10	3042	2603.41964302847	31.4133002317742	435.88484859762	1.73650701874606
11	2316	2589.94595334155	29.1075563254496	-272.793985818243	-0.74166563909797
12	2735	2623.74231809929	29.3518026054016	111.13796547768	0.0771066278886643
13	2493	2625.50225890165	28.421416488271	-131.785846430584	-0.464468061958888
14	2136	2569.24317003248	25.4720081159641	-431.025641823877	-1.44164963168679
15	2467	2527.52849546727	22.3891737261663	-58.8567276373487	-1.09086045528822
16	2414	2565.61138651384	23.2703034457476	-151.973821628694	0.240060341732798
17	2556	2513.61896645635	18.6071509539068	44.0538503081459	-1.12497927721794
18	2768	2528.97745426498	18.3995749988563	239.09514614948	-0.0491227703489239
19	2998	2601.91883215935	21.8556533635619	394.83241897426	0.843546762038434
20	2573	2692.48890725831	26.0901016064638	-121.096684311855	1.08126373636211
21	3005	2854.35879503703	34.173781149101	147.425824207982	2.15361756424747
22	3469	2960.091599821	38.2920948498106	507.207542924462	1.13621936735995
23	2540	2967.28255505292	36.5552010462223	-426.543804349302	-0.492952804407317
24	3187	2991.12081055007	35.861829715609	196.180907938764	-0.201350355769967
25	2689	2946.24417665164	31.5178875842105	-255.327557715257	-1.27996116675352
26	2154	2836.64741684772	23.8604289790512	-679.29991396886	-2.23648401927792
27	3065	2874.97773177682	24.6667102600601	189.681527718261	0.227805985771859
28	2397	2809.9506201159	19.5109089765716	-410.86565817007	-1.39687278499696
29	2787	2792.36894879005	17.3254237633465	-4.51617637737583	-0.573121581635183
30	3579	2962.87689999983	26.4781231500561	612.613307309909	2.36469449480943
31	2915	2955.4530525922	24.4447391031232	-39.6735204405418	-0.525624769936825
32	3025	3039.69912549527	28.0179801862887	-16.0822523484518	0.932017147927037
33	3245	3099.94726703121	29.9279173775105	144.304172984407	0.50382576326345
34	3328	3044.64800688571	24.9270453713989	285.334039939474	-1.33284623054811
35	2840	3067.3170171389	24.7957435076753	-227.264527324867	-0.0352865634943077
36	3342	3071.44712388619	23.6016405502841	271.033008901757	-0.322815257930426
37	2261	2912.21232351816	13.0622364053638	-646.964077399698	-2.85691877785459
38	2590	2945.1620371752	14.2106734578578	-355.624116541347	0.310775832356531
39	2624	2824.91178485189	6.40767661787757	-197.791650075451	-2.09868681977907
40	1860	2656.46882942741	-3.80193799558467	-792.422235905452	-2.72282548042408
41	2577	2606.85827347454	-6.49157374584832	-28.8010370285541	-0.711840152154121
42	2646	2444.6760440248	-15.6670957568439	204.912232305496	-2.41758085291264
43	2639	2450.87950209038	-14.3761283923048	187.616243737779	0.339857521417644
44	2807	2537.64044917936	-8.40815679727535	267.024552596396	1.57367821711728
45	2350	2458.7570371682	-12.5599503542438	-107.128011709529	-1.0975923992974
46	3053	2485.90193418575	-10.226240751141	566.179891185091	0.618486108817938
47	2203	2446.13947982506	-11.9583544011277	-242.456548874744	-0.459981958445975
48	2471	2316.00215737481	-18.8772014412906	157.729776556747	-1.84014553536642
49	1967	2309.65526987641	-18.1441642981662	-342.944932028568	0.195121216868262
50	2473	2378.84935529334	-13.0337116070126	92.1315069943703	1.36016455337846
51	2397	2406.45264330964	-10.6536359937994	-10.3919475233977	0.63275498640394
52	1904	2461.34894391064	-6.80940813875716	-558.863273192863	1.02017357850781
53	2732	2530.98243855124	-2.32070483256992	199.252783362242	1.18905393795204
54	2297	2454.28791545587	-6.69196056244726	-155.571662261084	-1.15654695248381
55	2734	2456.47713333117	-6.16973087136164	277.317927240098	0.138119701311147
56	2719	2439.66345465512	-6.79563495834024	279.582233390633	-0.165585090382452
57	2296	2419.55359407176	-7.57832351019551	-123.246172620665	-0.207179865240554
58	3243	2459.62252487135	-4.7787233612434	782.277158599985	0.741485508883748
59	2166	2447.19350164032	-5.22799216105072	-281.016838875694	-0.119046650056163
60	2261	2372.04253474467	-9.33250786450877	-109.427973296962	-1.08800481165749
61	2408	2464.77119278809	-3.34285500726288	-59.1278082072744	1.58808757997432
62	2536	2510.47328823537	-0.464586002049005	24.394217482543	0.763179019236684
63	2324	2497.8573211687	-1.17783100981608	-173.576736627893	-0.18908370332518
64	2178	2557.90773770928	2.41705441943846	-381.321398899762	0.952661339598906
65	2803	2577.69572774068	3.43724367536974	224.903270348226	0.270240759856296
66	2604	2631.72427068616	6.40912346126395	-28.8920019892496	0.78698075050295
67	2782	2619.4000290737	5.30852915342433	163.032354798229	-0.291410080077923
68	2656	2556.5421397242	1.30360010566902	101.031296649974	-1.0604466057316
69	2801	2634.85059251889	5.82757429652384	164.371816302253	1.19802868851642
70	3122	2590.14648169347	2.85918299941706	533.02005062591	-0.786185486542819
71	2393	2599.05826627489	3.21468922782625	-206.197991020435	0.094166753760438
72	2233	2566.06697319455	1.08831494004009	-332.231174501266	-0.56328297518379
73	2451	2553.96109700302	0.313472322013967	-102.656517965754	-0.205271047776295
74	2596	2562.30840567549	0.785260214222909	33.5061370726123	0.124989413141172
75	2467	2601.75541086169	3.05574134648171	-135.647903725066	0.601497963682437
76	2210	2621.21397759233	4.01908215869399	-411.592624841179	0.255190351463518
77	2948	2659.57269271091	6.03598460504482	287.634630947872	0.534228787424582
78	2507	2635.43750780228	4.26381678441698	-127.74107873085	-0.469366506886737
79	3019	2676.00219492791	6.39609790351666	342.159898673299	0.564721728052024
80	2401	2605.38550057594	1.87238170391546	-202.607853412184	-1.19808148360574
81	2818	2581.19563601583	0.341501952347015	237.405957560449	-0.405455698016029
82	3305	2618.60944935455	2.51906097742392	685.534800855751	0.576746976554288
83	2101	2548.85588436953	-1.72598656112838	-446.187595733941	-1.12436814612821
84	2582	2617.79397029502	2.42447541880602	-37.4251177754776	1.09933636023974
85	2407	2625.11014593031	2.71178487708548	-218.22306118323	0.0761010624943603
86	2416	2577.73435090964	-0.230042516897436	-160.578176181844	-0.779223739688237
87	2463	2570.88894003801	-0.618588917388041	-107.736236640964	-0.102917083530663
88	2228	2588.46231492134	0.449908353871322	-360.88224161933	0.283016755646219
89	2616	2522.22943321359	-3.46673280930258	95.3097995836436	-1.03739282725168
90	2934	2630.00795074362	3.06738622834594	301.42420923094	1.73064388924297
91	2668	2576.91455721819	-0.231310966745034	92.3817780889104	-0.873691442567979
92	2808	2663.36884018895	4.86033113531806	142.630231140771	1.34856829496696
93	2664	2638.91124942995	3.13828884818609	25.7654875282964	-0.456101218419756
94	3112	2569.93835757481	-1.09727768114173	543.726170022542	-1.12184267523193
95	2321	2604.94928592691	1.0235838863231	-284.782764787285	0.561739815725637
96	2718	2651.32130662829	3.68716653828158	65.6319257504912	0.705489987969935
97	2297	2625.02971592589	1.92634434407096	-327.33772414559	-0.466381911496113
98	2534	2633.19317388367	2.29268452528158	-99.3371435480625	0.0970313214341573
99	2647	2669.95158216681	4.31704763592798	-23.7471461998619	0.536186831696422
100	2064	2621.89042323468	1.24057832505594	-556.681389505006	-0.814853203878985
101	2642	2604.12277052217	0.124113589426745	38.3159913213174	-0.295712600342119
102	2702	2542.87206149864	-3.48079992379797	160.544633599864	-0.95481125655024
103	2348	2457.30719297082	-8.30210277487505	-107.412476220526	-1.27698465022493
104	2734	2448.02388126409	-8.35973528035295	285.998767622575	-0.0152647053781448
105	2709	2495.72166120864	-5.06712842883959	211.984382350745	0.872089913528262
106	3206	2564.61529316003	-0.722955687903281	639.677494073684	1.15061273988925
107	2214	2577.64601290734	0.0848817326526133	-363.963484737339	0.213966918168845
108	2531	2547.61810327017	-1.6838241834385	-15.9230193003218	-0.468466654425071
109	2119	2509.43213250641	-3.82781305006086	-389.589565491991	-0.56786605212915
110	2369	2479.3815379478	-5.36803244771405	-109.776246186579	-0.407949376789939
111	2682	2505.33492356949	-3.52834007677123	175.942094361253	0.487269312791633
112	1840	2470.94337095323	-5.34112003049934	-630.230965380988	-0.480141043871705
113	2622	2466.53973782479	-5.28605581512777	155.438622472814	0.0145845422105275
114	2570	2439.61319304173	-6.55713209073152	130.886326988115	-0.336662274668625
115	2447	2468.17210432502	-4.49455423849981	-21.9826755883006	0.54630201980579
116	2871	2525.36906995092	-0.871036667503132	344.206926612559	0.959738006893406
117	2485	2493.41950076303	-2.69646771772265	-7.70212589104636	-0.483490379298084
118	2957	2431.27736235762	-6.18807272610163	527.094801616531	-0.924799690298046
119	2102	2403.98073046913	-7.42790620586508	-301.493488794738	-0.328387082779681
120	2250	2348.10429772216	-10.2735806489145	-96.9859769873327	-0.753716469946409
121	2051	2344.96192845072	-9.85472166899704	-294.126535735644	0.110940645559111
122	2260	2349.72306846726	-8.99624427024055	-90.0604413260026	0.227379755181289
123	2327	2292.89465366219	-11.8057149579793	35.2094397722877	-0.744127731737668
124	1781	2299.33368152277	-10.734091556492	-518.7548186324	0.283834493851745
125	2631	2344.90464298073	-7.42695693397992	284.795686919351	0.87594085971995
126	2180	2292.90994196047	-10.0446891701967	-111.88120023354	-0.693342811027578
127	2150	2241.5726113764	-12.4700551961424	-90.6194678326504	-0.642391793698556
128	2837	2266.01034265953	-10.3022379936669	570.137727914834	0.57417635942069
129	1976	2183.05734925148	-14.5694557387194	-205.38037741684	-1.13023164914234
130	2836	2170.0763796811	-14.4761543517566	665.886953848697	0.0247121651585176
131	2203	2236.8382802104	-9.70455295101995	-35.7134698776697	1.26382484779858
132	1770	2164.86986477522	-13.3616852473588	-393.432649784779	-0.968642283493867

\begin{tabular}{lllllllll}
\hline
Structural Time Series Model \tabularnewline
t & Observed & Level & Slope & Seasonal & Stand. Residuals \tabularnewline
1 & 2132 & 2132 & 0 & 0 & 0 \tabularnewline
2 & 1964 & 2111.42867010073 & 3.71229823332826 & -145.867120989689 & -0.834006310766758 \tabularnewline
3 & 2209 & 2112.90744015543 & 3.54426749145927 & 96.1321634028063 & -0.0253261212379439 \tabularnewline
4 & 1965 & 2062.48937529496 & -1.52991102633122 & -96.7031854497922 & -0.572981710815074 \tabularnewline
5 & 2631 & 2212.42122015412 & 12.1818236171317 & 415.826499353119 & 1.95340614311615 \tabularnewline
6 & 2583 & 2359.63318999049 & 22.8827036370826 & 220.397393412644 & 2.01622946509542 \tabularnewline
7 & 2714 & 2506.11384686117 & 31.2176641728892 & 204.883976780258 & 1.98156386380823 \tabularnewline
8 & 2248 & 2504.60942640271 & 29.2965340276932 & -255.780633476117 & -0.539040148111592 \tabularnewline
9 & 2364 & 2472.70422284212 & 26.0106927693497 & -107.131925016711 & -1.01565166567068 \tabularnewline
10 & 3042 & 2603.41964302847 & 31.4133002317742 & 435.88484859762 & 1.73650701874606 \tabularnewline
11 & 2316 & 2589.94595334155 & 29.1075563254496 & -272.793985818243 & -0.74166563909797 \tabularnewline
12 & 2735 & 2623.74231809929 & 29.3518026054016 & 111.13796547768 & 0.0771066278886643 \tabularnewline
13 & 2493 & 2625.50225890165 & 28.421416488271 & -131.785846430584 & -0.464468061958888 \tabularnewline
14 & 2136 & 2569.24317003248 & 25.4720081159641 & -431.025641823877 & -1.44164963168679 \tabularnewline
15 & 2467 & 2527.52849546727 & 22.3891737261663 & -58.8567276373487 & -1.09086045528822 \tabularnewline
16 & 2414 & 2565.61138651384 & 23.2703034457476 & -151.973821628694 & 0.240060341732798 \tabularnewline
17 & 2556 & 2513.61896645635 & 18.6071509539068 & 44.0538503081459 & -1.12497927721794 \tabularnewline
18 & 2768 & 2528.97745426498 & 18.3995749988563 & 239.09514614948 & -0.0491227703489239 \tabularnewline
19 & 2998 & 2601.91883215935 & 21.8556533635619 & 394.83241897426 & 0.843546762038434 \tabularnewline
20 & 2573 & 2692.48890725831 & 26.0901016064638 & -121.096684311855 & 1.08126373636211 \tabularnewline
21 & 3005 & 2854.35879503703 & 34.173781149101 & 147.425824207982 & 2.15361756424747 \tabularnewline
22 & 3469 & 2960.091599821 & 38.2920948498106 & 507.207542924462 & 1.13621936735995 \tabularnewline
23 & 2540 & 2967.28255505292 & 36.5552010462223 & -426.543804349302 & -0.492952804407317 \tabularnewline
24 & 3187 & 2991.12081055007 & 35.861829715609 & 196.180907938764 & -0.201350355769967 \tabularnewline
25 & 2689 & 2946.24417665164 & 31.5178875842105 & -255.327557715257 & -1.27996116675352 \tabularnewline
26 & 2154 & 2836.64741684772 & 23.8604289790512 & -679.29991396886 & -2.23648401927792 \tabularnewline
27 & 3065 & 2874.97773177682 & 24.6667102600601 & 189.681527718261 & 0.227805985771859 \tabularnewline
28 & 2397 & 2809.9506201159 & 19.5109089765716 & -410.86565817007 & -1.39687278499696 \tabularnewline
29 & 2787 & 2792.36894879005 & 17.3254237633465 & -4.51617637737583 & -0.573121581635183 \tabularnewline
30 & 3579 & 2962.87689999983 & 26.4781231500561 & 612.613307309909 & 2.36469449480943 \tabularnewline
31 & 2915 & 2955.4530525922 & 24.4447391031232 & -39.6735204405418 & -0.525624769936825 \tabularnewline
32 & 3025 & 3039.69912549527 & 28.0179801862887 & -16.0822523484518 & 0.932017147927037 \tabularnewline
33 & 3245 & 3099.94726703121 & 29.9279173775105 & 144.304172984407 & 0.50382576326345 \tabularnewline
34 & 3328 & 3044.64800688571 & 24.9270453713989 & 285.334039939474 & -1.33284623054811 \tabularnewline
35 & 2840 & 3067.3170171389 & 24.7957435076753 & -227.264527324867 & -0.0352865634943077 \tabularnewline
36 & 3342 & 3071.44712388619 & 23.6016405502841 & 271.033008901757 & -0.322815257930426 \tabularnewline
37 & 2261 & 2912.21232351816 & 13.0622364053638 & -646.964077399698 & -2.85691877785459 \tabularnewline
38 & 2590 & 2945.1620371752 & 14.2106734578578 & -355.624116541347 & 0.310775832356531 \tabularnewline
39 & 2624 & 2824.91178485189 & 6.40767661787757 & -197.791650075451 & -2.09868681977907 \tabularnewline
40 & 1860 & 2656.46882942741 & -3.80193799558467 & -792.422235905452 & -2.72282548042408 \tabularnewline
41 & 2577 & 2606.85827347454 & -6.49157374584832 & -28.8010370285541 & -0.711840152154121 \tabularnewline
42 & 2646 & 2444.6760440248 & -15.6670957568439 & 204.912232305496 & -2.41758085291264 \tabularnewline
43 & 2639 & 2450.87950209038 & -14.3761283923048 & 187.616243737779 & 0.339857521417644 \tabularnewline
44 & 2807 & 2537.64044917936 & -8.40815679727535 & 267.024552596396 & 1.57367821711728 \tabularnewline
45 & 2350 & 2458.7570371682 & -12.5599503542438 & -107.128011709529 & -1.0975923992974 \tabularnewline
46 & 3053 & 2485.90193418575 & -10.226240751141 & 566.179891185091 & 0.618486108817938 \tabularnewline
47 & 2203 & 2446.13947982506 & -11.9583544011277 & -242.456548874744 & -0.459981958445975 \tabularnewline
48 & 2471 & 2316.00215737481 & -18.8772014412906 & 157.729776556747 & -1.84014553536642 \tabularnewline
49 & 1967 & 2309.65526987641 & -18.1441642981662 & -342.944932028568 & 0.195121216868262 \tabularnewline
50 & 2473 & 2378.84935529334 & -13.0337116070126 & 92.1315069943703 & 1.36016455337846 \tabularnewline
51 & 2397 & 2406.45264330964 & -10.6536359937994 & -10.3919475233977 & 0.63275498640394 \tabularnewline
52 & 1904 & 2461.34894391064 & -6.80940813875716 & -558.863273192863 & 1.02017357850781 \tabularnewline
53 & 2732 & 2530.98243855124 & -2.32070483256992 & 199.252783362242 & 1.18905393795204 \tabularnewline
54 & 2297 & 2454.28791545587 & -6.69196056244726 & -155.571662261084 & -1.15654695248381 \tabularnewline
55 & 2734 & 2456.47713333117 & -6.16973087136164 & 277.317927240098 & 0.138119701311147 \tabularnewline
56 & 2719 & 2439.66345465512 & -6.79563495834024 & 279.582233390633 & -0.165585090382452 \tabularnewline
57 & 2296 & 2419.55359407176 & -7.57832351019551 & -123.246172620665 & -0.207179865240554 \tabularnewline
58 & 3243 & 2459.62252487135 & -4.7787233612434 & 782.277158599985 & 0.741485508883748 \tabularnewline
59 & 2166 & 2447.19350164032 & -5.22799216105072 & -281.016838875694 & -0.119046650056163 \tabularnewline
60 & 2261 & 2372.04253474467 & -9.33250786450877 & -109.427973296962 & -1.08800481165749 \tabularnewline
61 & 2408 & 2464.77119278809 & -3.34285500726288 & -59.1278082072744 & 1.58808757997432 \tabularnewline
62 & 2536 & 2510.47328823537 & -0.464586002049005 & 24.394217482543 & 0.763179019236684 \tabularnewline
63 & 2324 & 2497.8573211687 & -1.17783100981608 & -173.576736627893 & -0.18908370332518 \tabularnewline
64 & 2178 & 2557.90773770928 & 2.41705441943846 & -381.321398899762 & 0.952661339598906 \tabularnewline
65 & 2803 & 2577.69572774068 & 3.43724367536974 & 224.903270348226 & 0.270240759856296 \tabularnewline
66 & 2604 & 2631.72427068616 & 6.40912346126395 & -28.8920019892496 & 0.78698075050295 \tabularnewline
67 & 2782 & 2619.4000290737 & 5.30852915342433 & 163.032354798229 & -0.291410080077923 \tabularnewline
68 & 2656 & 2556.5421397242 & 1.30360010566902 & 101.031296649974 & -1.0604466057316 \tabularnewline
69 & 2801 & 2634.85059251889 & 5.82757429652384 & 164.371816302253 & 1.19802868851642 \tabularnewline
70 & 3122 & 2590.14648169347 & 2.85918299941706 & 533.02005062591 & -0.786185486542819 \tabularnewline
71 & 2393 & 2599.05826627489 & 3.21468922782625 & -206.197991020435 & 0.094166753760438 \tabularnewline
72 & 2233 & 2566.06697319455 & 1.08831494004009 & -332.231174501266 & -0.56328297518379 \tabularnewline
73 & 2451 & 2553.96109700302 & 0.313472322013967 & -102.656517965754 & -0.205271047776295 \tabularnewline
74 & 2596 & 2562.30840567549 & 0.785260214222909 & 33.5061370726123 & 0.124989413141172 \tabularnewline
75 & 2467 & 2601.75541086169 & 3.05574134648171 & -135.647903725066 & 0.601497963682437 \tabularnewline
76 & 2210 & 2621.21397759233 & 4.01908215869399 & -411.592624841179 & 0.255190351463518 \tabularnewline
77 & 2948 & 2659.57269271091 & 6.03598460504482 & 287.634630947872 & 0.534228787424582 \tabularnewline
78 & 2507 & 2635.43750780228 & 4.26381678441698 & -127.74107873085 & -0.469366506886737 \tabularnewline
79 & 3019 & 2676.00219492791 & 6.39609790351666 & 342.159898673299 & 0.564721728052024 \tabularnewline
80 & 2401 & 2605.38550057594 & 1.87238170391546 & -202.607853412184 & -1.19808148360574 \tabularnewline
81 & 2818 & 2581.19563601583 & 0.341501952347015 & 237.405957560449 & -0.405455698016029 \tabularnewline
82 & 3305 & 2618.60944935455 & 2.51906097742392 & 685.534800855751 & 0.576746976554288 \tabularnewline
83 & 2101 & 2548.85588436953 & -1.72598656112838 & -446.187595733941 & -1.12436814612821 \tabularnewline
84 & 2582 & 2617.79397029502 & 2.42447541880602 & -37.4251177754776 & 1.09933636023974 \tabularnewline
85 & 2407 & 2625.11014593031 & 2.71178487708548 & -218.22306118323 & 0.0761010624943603 \tabularnewline
86 & 2416 & 2577.73435090964 & -0.230042516897436 & -160.578176181844 & -0.779223739688237 \tabularnewline
87 & 2463 & 2570.88894003801 & -0.618588917388041 & -107.736236640964 & -0.102917083530663 \tabularnewline
88 & 2228 & 2588.46231492134 & 0.449908353871322 & -360.88224161933 & 0.283016755646219 \tabularnewline
89 & 2616 & 2522.22943321359 & -3.46673280930258 & 95.3097995836436 & -1.03739282725168 \tabularnewline
90 & 2934 & 2630.00795074362 & 3.06738622834594 & 301.42420923094 & 1.73064388924297 \tabularnewline
91 & 2668 & 2576.91455721819 & -0.231310966745034 & 92.3817780889104 & -0.873691442567979 \tabularnewline
92 & 2808 & 2663.36884018895 & 4.86033113531806 & 142.630231140771 & 1.34856829496696 \tabularnewline
93 & 2664 & 2638.91124942995 & 3.13828884818609 & 25.7654875282964 & -0.456101218419756 \tabularnewline
94 & 3112 & 2569.93835757481 & -1.09727768114173 & 543.726170022542 & -1.12184267523193 \tabularnewline
95 & 2321 & 2604.94928592691 & 1.0235838863231 & -284.782764787285 & 0.561739815725637 \tabularnewline
96 & 2718 & 2651.32130662829 & 3.68716653828158 & 65.6319257504912 & 0.705489987969935 \tabularnewline
97 & 2297 & 2625.02971592589 & 1.92634434407096 & -327.33772414559 & -0.466381911496113 \tabularnewline
98 & 2534 & 2633.19317388367 & 2.29268452528158 & -99.3371435480625 & 0.0970313214341573 \tabularnewline
99 & 2647 & 2669.95158216681 & 4.31704763592798 & -23.7471461998619 & 0.536186831696422 \tabularnewline
100 & 2064 & 2621.89042323468 & 1.24057832505594 & -556.681389505006 & -0.814853203878985 \tabularnewline
101 & 2642 & 2604.12277052217 & 0.124113589426745 & 38.3159913213174 & -0.295712600342119 \tabularnewline
102 & 2702 & 2542.87206149864 & -3.48079992379797 & 160.544633599864 & -0.95481125655024 \tabularnewline
103 & 2348 & 2457.30719297082 & -8.30210277487505 & -107.412476220526 & -1.27698465022493 \tabularnewline
104 & 2734 & 2448.02388126409 & -8.35973528035295 & 285.998767622575 & -0.0152647053781448 \tabularnewline
105 & 2709 & 2495.72166120864 & -5.06712842883959 & 211.984382350745 & 0.872089913528262 \tabularnewline
106 & 3206 & 2564.61529316003 & -0.722955687903281 & 639.677494073684 & 1.15061273988925 \tabularnewline
107 & 2214 & 2577.64601290734 & 0.0848817326526133 & -363.963484737339 & 0.213966918168845 \tabularnewline
108 & 2531 & 2547.61810327017 & -1.6838241834385 & -15.9230193003218 & -0.468466654425071 \tabularnewline
109 & 2119 & 2509.43213250641 & -3.82781305006086 & -389.589565491991 & -0.56786605212915 \tabularnewline
110 & 2369 & 2479.3815379478 & -5.36803244771405 & -109.776246186579 & -0.407949376789939 \tabularnewline
111 & 2682 & 2505.33492356949 & -3.52834007677123 & 175.942094361253 & 0.487269312791633 \tabularnewline
112 & 1840 & 2470.94337095323 & -5.34112003049934 & -630.230965380988 & -0.480141043871705 \tabularnewline
113 & 2622 & 2466.53973782479 & -5.28605581512777 & 155.438622472814 & 0.0145845422105275 \tabularnewline
114 & 2570 & 2439.61319304173 & -6.55713209073152 & 130.886326988115 & -0.336662274668625 \tabularnewline
115 & 2447 & 2468.17210432502 & -4.49455423849981 & -21.9826755883006 & 0.54630201980579 \tabularnewline
116 & 2871 & 2525.36906995092 & -0.871036667503132 & 344.206926612559 & 0.959738006893406 \tabularnewline
117 & 2485 & 2493.41950076303 & -2.69646771772265 & -7.70212589104636 & -0.483490379298084 \tabularnewline
118 & 2957 & 2431.27736235762 & -6.18807272610163 & 527.094801616531 & -0.924799690298046 \tabularnewline
119 & 2102 & 2403.98073046913 & -7.42790620586508 & -301.493488794738 & -0.328387082779681 \tabularnewline
120 & 2250 & 2348.10429772216 & -10.2735806489145 & -96.9859769873327 & -0.753716469946409 \tabularnewline
121 & 2051 & 2344.96192845072 & -9.85472166899704 & -294.126535735644 & 0.110940645559111 \tabularnewline
122 & 2260 & 2349.72306846726 & -8.99624427024055 & -90.0604413260026 & 0.227379755181289 \tabularnewline
123 & 2327 & 2292.89465366219 & -11.8057149579793 & 35.2094397722877 & -0.744127731737668 \tabularnewline
124 & 1781 & 2299.33368152277 & -10.734091556492 & -518.7548186324 & 0.283834493851745 \tabularnewline
125 & 2631 & 2344.90464298073 & -7.42695693397992 & 284.795686919351 & 0.87594085971995 \tabularnewline
126 & 2180 & 2292.90994196047 & -10.0446891701967 & -111.88120023354 & -0.693342811027578 \tabularnewline
127 & 2150 & 2241.5726113764 & -12.4700551961424 & -90.6194678326504 & -0.642391793698556 \tabularnewline
128 & 2837 & 2266.01034265953 & -10.3022379936669 & 570.137727914834 & 0.57417635942069 \tabularnewline
129 & 1976 & 2183.05734925148 & -14.5694557387194 & -205.38037741684 & -1.13023164914234 \tabularnewline
130 & 2836 & 2170.0763796811 & -14.4761543517566 & 665.886953848697 & 0.0247121651585176 \tabularnewline
131 & 2203 & 2236.8382802104 & -9.70455295101995 & -35.7134698776697 & 1.26382484779858 \tabularnewline
132 & 1770 & 2164.86986477522 & -13.3616852473588 & -393.432649784779 & -0.968642283493867 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=265440&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]2132[/C][C]2132[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]1964[/C][C]2111.42867010073[/C][C]3.71229823332826[/C][C]-145.867120989689[/C][C]-0.834006310766758[/C][/ROW]
[ROW][C]3[/C][C]2209[/C][C]2112.90744015543[/C][C]3.54426749145927[/C][C]96.1321634028063[/C][C]-0.0253261212379439[/C][/ROW]
[ROW][C]4[/C][C]1965[/C][C]2062.48937529496[/C][C]-1.52991102633122[/C][C]-96.7031854497922[/C][C]-0.572981710815074[/C][/ROW]
[ROW][C]5[/C][C]2631[/C][C]2212.42122015412[/C][C]12.1818236171317[/C][C]415.826499353119[/C][C]1.95340614311615[/C][/ROW]
[ROW][C]6[/C][C]2583[/C][C]2359.63318999049[/C][C]22.8827036370826[/C][C]220.397393412644[/C][C]2.01622946509542[/C][/ROW]
[ROW][C]7[/C][C]2714[/C][C]2506.11384686117[/C][C]31.2176641728892[/C][C]204.883976780258[/C][C]1.98156386380823[/C][/ROW]
[ROW][C]8[/C][C]2248[/C][C]2504.60942640271[/C][C]29.2965340276932[/C][C]-255.780633476117[/C][C]-0.539040148111592[/C][/ROW]
[ROW][C]9[/C][C]2364[/C][C]2472.70422284212[/C][C]26.0106927693497[/C][C]-107.131925016711[/C][C]-1.01565166567068[/C][/ROW]
[ROW][C]10[/C][C]3042[/C][C]2603.41964302847[/C][C]31.4133002317742[/C][C]435.88484859762[/C][C]1.73650701874606[/C][/ROW]
[ROW][C]11[/C][C]2316[/C][C]2589.94595334155[/C][C]29.1075563254496[/C][C]-272.793985818243[/C][C]-0.74166563909797[/C][/ROW]
[ROW][C]12[/C][C]2735[/C][C]2623.74231809929[/C][C]29.3518026054016[/C][C]111.13796547768[/C][C]0.0771066278886643[/C][/ROW]
[ROW][C]13[/C][C]2493[/C][C]2625.50225890165[/C][C]28.421416488271[/C][C]-131.785846430584[/C][C]-0.464468061958888[/C][/ROW]
[ROW][C]14[/C][C]2136[/C][C]2569.24317003248[/C][C]25.4720081159641[/C][C]-431.025641823877[/C][C]-1.44164963168679[/C][/ROW]
[ROW][C]15[/C][C]2467[/C][C]2527.52849546727[/C][C]22.3891737261663[/C][C]-58.8567276373487[/C][C]-1.09086045528822[/C][/ROW]
[ROW][C]16[/C][C]2414[/C][C]2565.61138651384[/C][C]23.2703034457476[/C][C]-151.973821628694[/C][C]0.240060341732798[/C][/ROW]
[ROW][C]17[/C][C]2556[/C][C]2513.61896645635[/C][C]18.6071509539068[/C][C]44.0538503081459[/C][C]-1.12497927721794[/C][/ROW]
[ROW][C]18[/C][C]2768[/C][C]2528.97745426498[/C][C]18.3995749988563[/C][C]239.09514614948[/C][C]-0.0491227703489239[/C][/ROW]
[ROW][C]19[/C][C]2998[/C][C]2601.91883215935[/C][C]21.8556533635619[/C][C]394.83241897426[/C][C]0.843546762038434[/C][/ROW]
[ROW][C]20[/C][C]2573[/C][C]2692.48890725831[/C][C]26.0901016064638[/C][C]-121.096684311855[/C][C]1.08126373636211[/C][/ROW]
[ROW][C]21[/C][C]3005[/C][C]2854.35879503703[/C][C]34.173781149101[/C][C]147.425824207982[/C][C]2.15361756424747[/C][/ROW]
[ROW][C]22[/C][C]3469[/C][C]2960.091599821[/C][C]38.2920948498106[/C][C]507.207542924462[/C][C]1.13621936735995[/C][/ROW]
[ROW][C]23[/C][C]2540[/C][C]2967.28255505292[/C][C]36.5552010462223[/C][C]-426.543804349302[/C][C]-0.492952804407317[/C][/ROW]
[ROW][C]24[/C][C]3187[/C][C]2991.12081055007[/C][C]35.861829715609[/C][C]196.180907938764[/C][C]-0.201350355769967[/C][/ROW]
[ROW][C]25[/C][C]2689[/C][C]2946.24417665164[/C][C]31.5178875842105[/C][C]-255.327557715257[/C][C]-1.27996116675352[/C][/ROW]
[ROW][C]26[/C][C]2154[/C][C]2836.64741684772[/C][C]23.8604289790512[/C][C]-679.29991396886[/C][C]-2.23648401927792[/C][/ROW]
[ROW][C]27[/C][C]3065[/C][C]2874.97773177682[/C][C]24.6667102600601[/C][C]189.681527718261[/C][C]0.227805985771859[/C][/ROW]
[ROW][C]28[/C][C]2397[/C][C]2809.9506201159[/C][C]19.5109089765716[/C][C]-410.86565817007[/C][C]-1.39687278499696[/C][/ROW]
[ROW][C]29[/C][C]2787[/C][C]2792.36894879005[/C][C]17.3254237633465[/C][C]-4.51617637737583[/C][C]-0.573121581635183[/C][/ROW]
[ROW][C]30[/C][C]3579[/C][C]2962.87689999983[/C][C]26.4781231500561[/C][C]612.613307309909[/C][C]2.36469449480943[/C][/ROW]
[ROW][C]31[/C][C]2915[/C][C]2955.4530525922[/C][C]24.4447391031232[/C][C]-39.6735204405418[/C][C]-0.525624769936825[/C][/ROW]
[ROW][C]32[/C][C]3025[/C][C]3039.69912549527[/C][C]28.0179801862887[/C][C]-16.0822523484518[/C][C]0.932017147927037[/C][/ROW]
[ROW][C]33[/C][C]3245[/C][C]3099.94726703121[/C][C]29.9279173775105[/C][C]144.304172984407[/C][C]0.50382576326345[/C][/ROW]
[ROW][C]34[/C][C]3328[/C][C]3044.64800688571[/C][C]24.9270453713989[/C][C]285.334039939474[/C][C]-1.33284623054811[/C][/ROW]
[ROW][C]35[/C][C]2840[/C][C]3067.3170171389[/C][C]24.7957435076753[/C][C]-227.264527324867[/C][C]-0.0352865634943077[/C][/ROW]
[ROW][C]36[/C][C]3342[/C][C]3071.44712388619[/C][C]23.6016405502841[/C][C]271.033008901757[/C][C]-0.322815257930426[/C][/ROW]
[ROW][C]37[/C][C]2261[/C][C]2912.21232351816[/C][C]13.0622364053638[/C][C]-646.964077399698[/C][C]-2.85691877785459[/C][/ROW]
[ROW][C]38[/C][C]2590[/C][C]2945.1620371752[/C][C]14.2106734578578[/C][C]-355.624116541347[/C][C]0.310775832356531[/C][/ROW]
[ROW][C]39[/C][C]2624[/C][C]2824.91178485189[/C][C]6.40767661787757[/C][C]-197.791650075451[/C][C]-2.09868681977907[/C][/ROW]
[ROW][C]40[/C][C]1860[/C][C]2656.46882942741[/C][C]-3.80193799558467[/C][C]-792.422235905452[/C][C]-2.72282548042408[/C][/ROW]
[ROW][C]41[/C][C]2577[/C][C]2606.85827347454[/C][C]-6.49157374584832[/C][C]-28.8010370285541[/C][C]-0.711840152154121[/C][/ROW]
[ROW][C]42[/C][C]2646[/C][C]2444.6760440248[/C][C]-15.6670957568439[/C][C]204.912232305496[/C][C]-2.41758085291264[/C][/ROW]
[ROW][C]43[/C][C]2639[/C][C]2450.87950209038[/C][C]-14.3761283923048[/C][C]187.616243737779[/C][C]0.339857521417644[/C][/ROW]
[ROW][C]44[/C][C]2807[/C][C]2537.64044917936[/C][C]-8.40815679727535[/C][C]267.024552596396[/C][C]1.57367821711728[/C][/ROW]
[ROW][C]45[/C][C]2350[/C][C]2458.7570371682[/C][C]-12.5599503542438[/C][C]-107.128011709529[/C][C]-1.0975923992974[/C][/ROW]
[ROW][C]46[/C][C]3053[/C][C]2485.90193418575[/C][C]-10.226240751141[/C][C]566.179891185091[/C][C]0.618486108817938[/C][/ROW]
[ROW][C]47[/C][C]2203[/C][C]2446.13947982506[/C][C]-11.9583544011277[/C][C]-242.456548874744[/C][C]-0.459981958445975[/C][/ROW]
[ROW][C]48[/C][C]2471[/C][C]2316.00215737481[/C][C]-18.8772014412906[/C][C]157.729776556747[/C][C]-1.84014553536642[/C][/ROW]
[ROW][C]49[/C][C]1967[/C][C]2309.65526987641[/C][C]-18.1441642981662[/C][C]-342.944932028568[/C][C]0.195121216868262[/C][/ROW]
[ROW][C]50[/C][C]2473[/C][C]2378.84935529334[/C][C]-13.0337116070126[/C][C]92.1315069943703[/C][C]1.36016455337846[/C][/ROW]
[ROW][C]51[/C][C]2397[/C][C]2406.45264330964[/C][C]-10.6536359937994[/C][C]-10.3919475233977[/C][C]0.63275498640394[/C][/ROW]
[ROW][C]52[/C][C]1904[/C][C]2461.34894391064[/C][C]-6.80940813875716[/C][C]-558.863273192863[/C][C]1.02017357850781[/C][/ROW]
[ROW][C]53[/C][C]2732[/C][C]2530.98243855124[/C][C]-2.32070483256992[/C][C]199.252783362242[/C][C]1.18905393795204[/C][/ROW]
[ROW][C]54[/C][C]2297[/C][C]2454.28791545587[/C][C]-6.69196056244726[/C][C]-155.571662261084[/C][C]-1.15654695248381[/C][/ROW]
[ROW][C]55[/C][C]2734[/C][C]2456.47713333117[/C][C]-6.16973087136164[/C][C]277.317927240098[/C][C]0.138119701311147[/C][/ROW]
[ROW][C]56[/C][C]2719[/C][C]2439.66345465512[/C][C]-6.79563495834024[/C][C]279.582233390633[/C][C]-0.165585090382452[/C][/ROW]
[ROW][C]57[/C][C]2296[/C][C]2419.55359407176[/C][C]-7.57832351019551[/C][C]-123.246172620665[/C][C]-0.207179865240554[/C][/ROW]
[ROW][C]58[/C][C]3243[/C][C]2459.62252487135[/C][C]-4.7787233612434[/C][C]782.277158599985[/C][C]0.741485508883748[/C][/ROW]
[ROW][C]59[/C][C]2166[/C][C]2447.19350164032[/C][C]-5.22799216105072[/C][C]-281.016838875694[/C][C]-0.119046650056163[/C][/ROW]
[ROW][C]60[/C][C]2261[/C][C]2372.04253474467[/C][C]-9.33250786450877[/C][C]-109.427973296962[/C][C]-1.08800481165749[/C][/ROW]
[ROW][C]61[/C][C]2408[/C][C]2464.77119278809[/C][C]-3.34285500726288[/C][C]-59.1278082072744[/C][C]1.58808757997432[/C][/ROW]
[ROW][C]62[/C][C]2536[/C][C]2510.47328823537[/C][C]-0.464586002049005[/C][C]24.394217482543[/C][C]0.763179019236684[/C][/ROW]
[ROW][C]63[/C][C]2324[/C][C]2497.8573211687[/C][C]-1.17783100981608[/C][C]-173.576736627893[/C][C]-0.18908370332518[/C][/ROW]
[ROW][C]64[/C][C]2178[/C][C]2557.90773770928[/C][C]2.41705441943846[/C][C]-381.321398899762[/C][C]0.952661339598906[/C][/ROW]
[ROW][C]65[/C][C]2803[/C][C]2577.69572774068[/C][C]3.43724367536974[/C][C]224.903270348226[/C][C]0.270240759856296[/C][/ROW]
[ROW][C]66[/C][C]2604[/C][C]2631.72427068616[/C][C]6.40912346126395[/C][C]-28.8920019892496[/C][C]0.78698075050295[/C][/ROW]
[ROW][C]67[/C][C]2782[/C][C]2619.4000290737[/C][C]5.30852915342433[/C][C]163.032354798229[/C][C]-0.291410080077923[/C][/ROW]
[ROW][C]68[/C][C]2656[/C][C]2556.5421397242[/C][C]1.30360010566902[/C][C]101.031296649974[/C][C]-1.0604466057316[/C][/ROW]
[ROW][C]69[/C][C]2801[/C][C]2634.85059251889[/C][C]5.82757429652384[/C][C]164.371816302253[/C][C]1.19802868851642[/C][/ROW]
[ROW][C]70[/C][C]3122[/C][C]2590.14648169347[/C][C]2.85918299941706[/C][C]533.02005062591[/C][C]-0.786185486542819[/C][/ROW]
[ROW][C]71[/C][C]2393[/C][C]2599.05826627489[/C][C]3.21468922782625[/C][C]-206.197991020435[/C][C]0.094166753760438[/C][/ROW]
[ROW][C]72[/C][C]2233[/C][C]2566.06697319455[/C][C]1.08831494004009[/C][C]-332.231174501266[/C][C]-0.56328297518379[/C][/ROW]
[ROW][C]73[/C][C]2451[/C][C]2553.96109700302[/C][C]0.313472322013967[/C][C]-102.656517965754[/C][C]-0.205271047776295[/C][/ROW]
[ROW][C]74[/C][C]2596[/C][C]2562.30840567549[/C][C]0.785260214222909[/C][C]33.5061370726123[/C][C]0.124989413141172[/C][/ROW]
[ROW][C]75[/C][C]2467[/C][C]2601.75541086169[/C][C]3.05574134648171[/C][C]-135.647903725066[/C][C]0.601497963682437[/C][/ROW]
[ROW][C]76[/C][C]2210[/C][C]2621.21397759233[/C][C]4.01908215869399[/C][C]-411.592624841179[/C][C]0.255190351463518[/C][/ROW]
[ROW][C]77[/C][C]2948[/C][C]2659.57269271091[/C][C]6.03598460504482[/C][C]287.634630947872[/C][C]0.534228787424582[/C][/ROW]
[ROW][C]78[/C][C]2507[/C][C]2635.43750780228[/C][C]4.26381678441698[/C][C]-127.74107873085[/C][C]-0.469366506886737[/C][/ROW]
[ROW][C]79[/C][C]3019[/C][C]2676.00219492791[/C][C]6.39609790351666[/C][C]342.159898673299[/C][C]0.564721728052024[/C][/ROW]
[ROW][C]80[/C][C]2401[/C][C]2605.38550057594[/C][C]1.87238170391546[/C][C]-202.607853412184[/C][C]-1.19808148360574[/C][/ROW]
[ROW][C]81[/C][C]2818[/C][C]2581.19563601583[/C][C]0.341501952347015[/C][C]237.405957560449[/C][C]-0.405455698016029[/C][/ROW]
[ROW][C]82[/C][C]3305[/C][C]2618.60944935455[/C][C]2.51906097742392[/C][C]685.534800855751[/C][C]0.576746976554288[/C][/ROW]
[ROW][C]83[/C][C]2101[/C][C]2548.85588436953[/C][C]-1.72598656112838[/C][C]-446.187595733941[/C][C]-1.12436814612821[/C][/ROW]
[ROW][C]84[/C][C]2582[/C][C]2617.79397029502[/C][C]2.42447541880602[/C][C]-37.4251177754776[/C][C]1.09933636023974[/C][/ROW]
[ROW][C]85[/C][C]2407[/C][C]2625.11014593031[/C][C]2.71178487708548[/C][C]-218.22306118323[/C][C]0.0761010624943603[/C][/ROW]
[ROW][C]86[/C][C]2416[/C][C]2577.73435090964[/C][C]-0.230042516897436[/C][C]-160.578176181844[/C][C]-0.779223739688237[/C][/ROW]
[ROW][C]87[/C][C]2463[/C][C]2570.88894003801[/C][C]-0.618588917388041[/C][C]-107.736236640964[/C][C]-0.102917083530663[/C][/ROW]
[ROW][C]88[/C][C]2228[/C][C]2588.46231492134[/C][C]0.449908353871322[/C][C]-360.88224161933[/C][C]0.283016755646219[/C][/ROW]
[ROW][C]89[/C][C]2616[/C][C]2522.22943321359[/C][C]-3.46673280930258[/C][C]95.3097995836436[/C][C]-1.03739282725168[/C][/ROW]
[ROW][C]90[/C][C]2934[/C][C]2630.00795074362[/C][C]3.06738622834594[/C][C]301.42420923094[/C][C]1.73064388924297[/C][/ROW]
[ROW][C]91[/C][C]2668[/C][C]2576.91455721819[/C][C]-0.231310966745034[/C][C]92.3817780889104[/C][C]-0.873691442567979[/C][/ROW]
[ROW][C]92[/C][C]2808[/C][C]2663.36884018895[/C][C]4.86033113531806[/C][C]142.630231140771[/C][C]1.34856829496696[/C][/ROW]
[ROW][C]93[/C][C]2664[/C][C]2638.91124942995[/C][C]3.13828884818609[/C][C]25.7654875282964[/C][C]-0.456101218419756[/C][/ROW]
[ROW][C]94[/C][C]3112[/C][C]2569.93835757481[/C][C]-1.09727768114173[/C][C]543.726170022542[/C][C]-1.12184267523193[/C][/ROW]
[ROW][C]95[/C][C]2321[/C][C]2604.94928592691[/C][C]1.0235838863231[/C][C]-284.782764787285[/C][C]0.561739815725637[/C][/ROW]
[ROW][C]96[/C][C]2718[/C][C]2651.32130662829[/C][C]3.68716653828158[/C][C]65.6319257504912[/C][C]0.705489987969935[/C][/ROW]
[ROW][C]97[/C][C]2297[/C][C]2625.02971592589[/C][C]1.92634434407096[/C][C]-327.33772414559[/C][C]-0.466381911496113[/C][/ROW]
[ROW][C]98[/C][C]2534[/C][C]2633.19317388367[/C][C]2.29268452528158[/C][C]-99.3371435480625[/C][C]0.0970313214341573[/C][/ROW]
[ROW][C]99[/C][C]2647[/C][C]2669.95158216681[/C][C]4.31704763592798[/C][C]-23.7471461998619[/C][C]0.536186831696422[/C][/ROW]
[ROW][C]100[/C][C]2064[/C][C]2621.89042323468[/C][C]1.24057832505594[/C][C]-556.681389505006[/C][C]-0.814853203878985[/C][/ROW]
[ROW][C]101[/C][C]2642[/C][C]2604.12277052217[/C][C]0.124113589426745[/C][C]38.3159913213174[/C][C]-0.295712600342119[/C][/ROW]
[ROW][C]102[/C][C]2702[/C][C]2542.87206149864[/C][C]-3.48079992379797[/C][C]160.544633599864[/C][C]-0.95481125655024[/C][/ROW]
[ROW][C]103[/C][C]2348[/C][C]2457.30719297082[/C][C]-8.30210277487505[/C][C]-107.412476220526[/C][C]-1.27698465022493[/C][/ROW]
[ROW][C]104[/C][C]2734[/C][C]2448.02388126409[/C][C]-8.35973528035295[/C][C]285.998767622575[/C][C]-0.0152647053781448[/C][/ROW]
[ROW][C]105[/C][C]2709[/C][C]2495.72166120864[/C][C]-5.06712842883959[/C][C]211.984382350745[/C][C]0.872089913528262[/C][/ROW]
[ROW][C]106[/C][C]3206[/C][C]2564.61529316003[/C][C]-0.722955687903281[/C][C]639.677494073684[/C][C]1.15061273988925[/C][/ROW]
[ROW][C]107[/C][C]2214[/C][C]2577.64601290734[/C][C]0.0848817326526133[/C][C]-363.963484737339[/C][C]0.213966918168845[/C][/ROW]
[ROW][C]108[/C][C]2531[/C][C]2547.61810327017[/C][C]-1.6838241834385[/C][C]-15.9230193003218[/C][C]-0.468466654425071[/C][/ROW]
[ROW][C]109[/C][C]2119[/C][C]2509.43213250641[/C][C]-3.82781305006086[/C][C]-389.589565491991[/C][C]-0.56786605212915[/C][/ROW]
[ROW][C]110[/C][C]2369[/C][C]2479.3815379478[/C][C]-5.36803244771405[/C][C]-109.776246186579[/C][C]-0.407949376789939[/C][/ROW]
[ROW][C]111[/C][C]2682[/C][C]2505.33492356949[/C][C]-3.52834007677123[/C][C]175.942094361253[/C][C]0.487269312791633[/C][/ROW]
[ROW][C]112[/C][C]1840[/C][C]2470.94337095323[/C][C]-5.34112003049934[/C][C]-630.230965380988[/C][C]-0.480141043871705[/C][/ROW]
[ROW][C]113[/C][C]2622[/C][C]2466.53973782479[/C][C]-5.28605581512777[/C][C]155.438622472814[/C][C]0.0145845422105275[/C][/ROW]
[ROW][C]114[/C][C]2570[/C][C]2439.61319304173[/C][C]-6.55713209073152[/C][C]130.886326988115[/C][C]-0.336662274668625[/C][/ROW]
[ROW][C]115[/C][C]2447[/C][C]2468.17210432502[/C][C]-4.49455423849981[/C][C]-21.9826755883006[/C][C]0.54630201980579[/C][/ROW]
[ROW][C]116[/C][C]2871[/C][C]2525.36906995092[/C][C]-0.871036667503132[/C][C]344.206926612559[/C][C]0.959738006893406[/C][/ROW]
[ROW][C]117[/C][C]2485[/C][C]2493.41950076303[/C][C]-2.69646771772265[/C][C]-7.70212589104636[/C][C]-0.483490379298084[/C][/ROW]
[ROW][C]118[/C][C]2957[/C][C]2431.27736235762[/C][C]-6.18807272610163[/C][C]527.094801616531[/C][C]-0.924799690298046[/C][/ROW]
[ROW][C]119[/C][C]2102[/C][C]2403.98073046913[/C][C]-7.42790620586508[/C][C]-301.493488794738[/C][C]-0.328387082779681[/C][/ROW]
[ROW][C]120[/C][C]2250[/C][C]2348.10429772216[/C][C]-10.2735806489145[/C][C]-96.9859769873327[/C][C]-0.753716469946409[/C][/ROW]
[ROW][C]121[/C][C]2051[/C][C]2344.96192845072[/C][C]-9.85472166899704[/C][C]-294.126535735644[/C][C]0.110940645559111[/C][/ROW]
[ROW][C]122[/C][C]2260[/C][C]2349.72306846726[/C][C]-8.99624427024055[/C][C]-90.0604413260026[/C][C]0.227379755181289[/C][/ROW]
[ROW][C]123[/C][C]2327[/C][C]2292.89465366219[/C][C]-11.8057149579793[/C][C]35.2094397722877[/C][C]-0.744127731737668[/C][/ROW]
[ROW][C]124[/C][C]1781[/C][C]2299.33368152277[/C][C]-10.734091556492[/C][C]-518.7548186324[/C][C]0.283834493851745[/C][/ROW]
[ROW][C]125[/C][C]2631[/C][C]2344.90464298073[/C][C]-7.42695693397992[/C][C]284.795686919351[/C][C]0.87594085971995[/C][/ROW]
[ROW][C]126[/C][C]2180[/C][C]2292.90994196047[/C][C]-10.0446891701967[/C][C]-111.88120023354[/C][C]-0.693342811027578[/C][/ROW]
[ROW][C]127[/C][C]2150[/C][C]2241.5726113764[/C][C]-12.4700551961424[/C][C]-90.6194678326504[/C][C]-0.642391793698556[/C][/ROW]
[ROW][C]128[/C][C]2837[/C][C]2266.01034265953[/C][C]-10.3022379936669[/C][C]570.137727914834[/C][C]0.57417635942069[/C][/ROW]
[ROW][C]129[/C][C]1976[/C][C]2183.05734925148[/C][C]-14.5694557387194[/C][C]-205.38037741684[/C][C]-1.13023164914234[/C][/ROW]
[ROW][C]130[/C][C]2836[/C][C]2170.0763796811[/C][C]-14.4761543517566[/C][C]665.886953848697[/C][C]0.0247121651585176[/C][/ROW]
[ROW][C]131[/C][C]2203[/C][C]2236.8382802104[/C][C]-9.70455295101995[/C][C]-35.7134698776697[/C][C]1.26382484779858[/C][/ROW]
[ROW][C]132[/C][C]1770[/C][C]2164.86986477522[/C][C]-13.3616852473588[/C][C]-393.432649784779[/C][C]-0.968642283493867[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=265440&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=265440&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	2132	2132	0	0	0
2	1964	2111.42867010073	3.71229823332826	-145.867120989689	-0.834006310766758
3	2209	2112.90744015543	3.54426749145927	96.1321634028063	-0.0253261212379439
4	1965	2062.48937529496	-1.52991102633122	-96.7031854497922	-0.572981710815074
5	2631	2212.42122015412	12.1818236171317	415.826499353119	1.95340614311615
6	2583	2359.63318999049	22.8827036370826	220.397393412644	2.01622946509542
7	2714	2506.11384686117	31.2176641728892	204.883976780258	1.98156386380823
8	2248	2504.60942640271	29.2965340276932	-255.780633476117	-0.539040148111592
9	2364	2472.70422284212	26.0106927693497	-107.131925016711	-1.01565166567068
10	3042	2603.41964302847	31.4133002317742	435.88484859762	1.73650701874606
11	2316	2589.94595334155	29.1075563254496	-272.793985818243	-0.74166563909797
12	2735	2623.74231809929	29.3518026054016	111.13796547768	0.0771066278886643
13	2493	2625.50225890165	28.421416488271	-131.785846430584	-0.464468061958888
14	2136	2569.24317003248	25.4720081159641	-431.025641823877	-1.44164963168679
15	2467	2527.52849546727	22.3891737261663	-58.8567276373487	-1.09086045528822
16	2414	2565.61138651384	23.2703034457476	-151.973821628694	0.240060341732798
17	2556	2513.61896645635	18.6071509539068	44.0538503081459	-1.12497927721794
18	2768	2528.97745426498	18.3995749988563	239.09514614948	-0.0491227703489239
19	2998	2601.91883215935	21.8556533635619	394.83241897426	0.843546762038434
20	2573	2692.48890725831	26.0901016064638	-121.096684311855	1.08126373636211
21	3005	2854.35879503703	34.173781149101	147.425824207982	2.15361756424747
22	3469	2960.091599821	38.2920948498106	507.207542924462	1.13621936735995
23	2540	2967.28255505292	36.5552010462223	-426.543804349302	-0.492952804407317
24	3187	2991.12081055007	35.861829715609	196.180907938764	-0.201350355769967
25	2689	2946.24417665164	31.5178875842105	-255.327557715257	-1.27996116675352
26	2154	2836.64741684772	23.8604289790512	-679.29991396886	-2.23648401927792
27	3065	2874.97773177682	24.6667102600601	189.681527718261	0.227805985771859
28	2397	2809.9506201159	19.5109089765716	-410.86565817007	-1.39687278499696
29	2787	2792.36894879005	17.3254237633465	-4.51617637737583	-0.573121581635183
30	3579	2962.87689999983	26.4781231500561	612.613307309909	2.36469449480943
31	2915	2955.4530525922	24.4447391031232	-39.6735204405418	-0.525624769936825
32	3025	3039.69912549527	28.0179801862887	-16.0822523484518	0.932017147927037
33	3245	3099.94726703121	29.9279173775105	144.304172984407	0.50382576326345
34	3328	3044.64800688571	24.9270453713989	285.334039939474	-1.33284623054811
35	2840	3067.3170171389	24.7957435076753	-227.264527324867	-0.0352865634943077
36	3342	3071.44712388619	23.6016405502841	271.033008901757	-0.322815257930426
37	2261	2912.21232351816	13.0622364053638	-646.964077399698	-2.85691877785459
38	2590	2945.1620371752	14.2106734578578	-355.624116541347	0.310775832356531
39	2624	2824.91178485189	6.40767661787757	-197.791650075451	-2.09868681977907
40	1860	2656.46882942741	-3.80193799558467	-792.422235905452	-2.72282548042408
41	2577	2606.85827347454	-6.49157374584832	-28.8010370285541	-0.711840152154121
42	2646	2444.6760440248	-15.6670957568439	204.912232305496	-2.41758085291264
43	2639	2450.87950209038	-14.3761283923048	187.616243737779	0.339857521417644
44	2807	2537.64044917936	-8.40815679727535	267.024552596396	1.57367821711728
45	2350	2458.7570371682	-12.5599503542438	-107.128011709529	-1.0975923992974
46	3053	2485.90193418575	-10.226240751141	566.179891185091	0.618486108817938
47	2203	2446.13947982506	-11.9583544011277	-242.456548874744	-0.459981958445975
48	2471	2316.00215737481	-18.8772014412906	157.729776556747	-1.84014553536642
49	1967	2309.65526987641	-18.1441642981662	-342.944932028568	0.195121216868262
50	2473	2378.84935529334	-13.0337116070126	92.1315069943703	1.36016455337846
51	2397	2406.45264330964	-10.6536359937994	-10.3919475233977	0.63275498640394
52	1904	2461.34894391064	-6.80940813875716	-558.863273192863	1.02017357850781
53	2732	2530.98243855124	-2.32070483256992	199.252783362242	1.18905393795204
54	2297	2454.28791545587	-6.69196056244726	-155.571662261084	-1.15654695248381
55	2734	2456.47713333117	-6.16973087136164	277.317927240098	0.138119701311147
56	2719	2439.66345465512	-6.79563495834024	279.582233390633	-0.165585090382452
57	2296	2419.55359407176	-7.57832351019551	-123.246172620665	-0.207179865240554
58	3243	2459.62252487135	-4.7787233612434	782.277158599985	0.741485508883748
59	2166	2447.19350164032	-5.22799216105072	-281.016838875694	-0.119046650056163
60	2261	2372.04253474467	-9.33250786450877	-109.427973296962	-1.08800481165749
61	2408	2464.77119278809	-3.34285500726288	-59.1278082072744	1.58808757997432
62	2536	2510.47328823537	-0.464586002049005	24.394217482543	0.763179019236684
63	2324	2497.8573211687	-1.17783100981608	-173.576736627893	-0.18908370332518
64	2178	2557.90773770928	2.41705441943846	-381.321398899762	0.952661339598906
65	2803	2577.69572774068	3.43724367536974	224.903270348226	0.270240759856296
66	2604	2631.72427068616	6.40912346126395	-28.8920019892496	0.78698075050295
67	2782	2619.4000290737	5.30852915342433	163.032354798229	-0.291410080077923
68	2656	2556.5421397242	1.30360010566902	101.031296649974	-1.0604466057316
69	2801	2634.85059251889	5.82757429652384	164.371816302253	1.19802868851642
70	3122	2590.14648169347	2.85918299941706	533.02005062591	-0.786185486542819
71	2393	2599.05826627489	3.21468922782625	-206.197991020435	0.094166753760438
72	2233	2566.06697319455	1.08831494004009	-332.231174501266	-0.56328297518379
73	2451	2553.96109700302	0.313472322013967	-102.656517965754	-0.205271047776295
74	2596	2562.30840567549	0.785260214222909	33.5061370726123	0.124989413141172
75	2467	2601.75541086169	3.05574134648171	-135.647903725066	0.601497963682437
76	2210	2621.21397759233	4.01908215869399	-411.592624841179	0.255190351463518
77	2948	2659.57269271091	6.03598460504482	287.634630947872	0.534228787424582
78	2507	2635.43750780228	4.26381678441698	-127.74107873085	-0.469366506886737
79	3019	2676.00219492791	6.39609790351666	342.159898673299	0.564721728052024
80	2401	2605.38550057594	1.87238170391546	-202.607853412184	-1.19808148360574
81	2818	2581.19563601583	0.341501952347015	237.405957560449	-0.405455698016029
82	3305	2618.60944935455	2.51906097742392	685.534800855751	0.576746976554288
83	2101	2548.85588436953	-1.72598656112838	-446.187595733941	-1.12436814612821
84	2582	2617.79397029502	2.42447541880602	-37.4251177754776	1.09933636023974
85	2407	2625.11014593031	2.71178487708548	-218.22306118323	0.0761010624943603
86	2416	2577.73435090964	-0.230042516897436	-160.578176181844	-0.779223739688237
87	2463	2570.88894003801	-0.618588917388041	-107.736236640964	-0.102917083530663
88	2228	2588.46231492134	0.449908353871322	-360.88224161933	0.283016755646219
89	2616	2522.22943321359	-3.46673280930258	95.3097995836436	-1.03739282725168
90	2934	2630.00795074362	3.06738622834594	301.42420923094	1.73064388924297
91	2668	2576.91455721819	-0.231310966745034	92.3817780889104	-0.873691442567979
92	2808	2663.36884018895	4.86033113531806	142.630231140771	1.34856829496696
93	2664	2638.91124942995	3.13828884818609	25.7654875282964	-0.456101218419756
94	3112	2569.93835757481	-1.09727768114173	543.726170022542	-1.12184267523193
95	2321	2604.94928592691	1.0235838863231	-284.782764787285	0.561739815725637
96	2718	2651.32130662829	3.68716653828158	65.6319257504912	0.705489987969935
97	2297	2625.02971592589	1.92634434407096	-327.33772414559	-0.466381911496113
98	2534	2633.19317388367	2.29268452528158	-99.3371435480625	0.0970313214341573
99	2647	2669.95158216681	4.31704763592798	-23.7471461998619	0.536186831696422
100	2064	2621.89042323468	1.24057832505594	-556.681389505006	-0.814853203878985
101	2642	2604.12277052217	0.124113589426745	38.3159913213174	-0.295712600342119
102	2702	2542.87206149864	-3.48079992379797	160.544633599864	-0.95481125655024
103	2348	2457.30719297082	-8.30210277487505	-107.412476220526	-1.27698465022493
104	2734	2448.02388126409	-8.35973528035295	285.998767622575	-0.0152647053781448
105	2709	2495.72166120864	-5.06712842883959	211.984382350745	0.872089913528262
106	3206	2564.61529316003	-0.722955687903281	639.677494073684	1.15061273988925
107	2214	2577.64601290734	0.0848817326526133	-363.963484737339	0.213966918168845
108	2531	2547.61810327017	-1.6838241834385	-15.9230193003218	-0.468466654425071
109	2119	2509.43213250641	-3.82781305006086	-389.589565491991	-0.56786605212915
110	2369	2479.3815379478	-5.36803244771405	-109.776246186579	-0.407949376789939
111	2682	2505.33492356949	-3.52834007677123	175.942094361253	0.487269312791633
112	1840	2470.94337095323	-5.34112003049934	-630.230965380988	-0.480141043871705
113	2622	2466.53973782479	-5.28605581512777	155.438622472814	0.0145845422105275
114	2570	2439.61319304173	-6.55713209073152	130.886326988115	-0.336662274668625
115	2447	2468.17210432502	-4.49455423849981	-21.9826755883006	0.54630201980579
116	2871	2525.36906995092	-0.871036667503132	344.206926612559	0.959738006893406
117	2485	2493.41950076303	-2.69646771772265	-7.70212589104636	-0.483490379298084
118	2957	2431.27736235762	-6.18807272610163	527.094801616531	-0.924799690298046
119	2102	2403.98073046913	-7.42790620586508	-301.493488794738	-0.328387082779681
120	2250	2348.10429772216	-10.2735806489145	-96.9859769873327	-0.753716469946409
121	2051	2344.96192845072	-9.85472166899704	-294.126535735644	0.110940645559111
122	2260	2349.72306846726	-8.99624427024055	-90.0604413260026	0.227379755181289
123	2327	2292.89465366219	-11.8057149579793	35.2094397722877	-0.744127731737668
124	1781	2299.33368152277	-10.734091556492	-518.7548186324	0.283834493851745
125	2631	2344.90464298073	-7.42695693397992	284.795686919351	0.87594085971995
126	2180	2292.90994196047	-10.0446891701967	-111.88120023354	-0.693342811027578
127	2150	2241.5726113764	-12.4700551961424	-90.6194678326504	-0.642391793698556
128	2837	2266.01034265953	-10.3022379936669	570.137727914834	0.57417635942069
129	1976	2183.05734925148	-14.5694557387194	-205.38037741684	-1.13023164914234
130	2836	2170.0763796811	-14.4761543517566	665.886953848697	0.0247121651585176
131	2203	2236.8382802104	-9.70455295101995	-35.7134698776697	1.26382484779858
132	1770	2164.86986477522	-13.3616852473588	-393.432649784779	-0.968642283493867

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