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*The author of this computation has been verified*

R Software Module

rwasp_structuraltimeseries.wasp

Title produced by software

Structural Time Series Models

Date of computation

Wed, 20 Dec 2017 17:42:32 +0100

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Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2017/Dec/20/t1513788797bsw56zxxjznq6qo.htm/, Retrieved Tue, 14 May 2024 13:28:42 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=310549, Retrieved Tue, 14 May 2024 13:28:42 +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)

-       [Structural Time Series Models] [Structural Time S...] [2017-12-20 16:42:32] [19616f283b6fb6898d2f08fc009ad795] [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	7 seconds
R Server	Big Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time7 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=310549&T=0

[TABLE]
[ROW]

Summary of computational transaction[/C][/ROW] [ROW]

Raw Input[/C]

view raw input (R code) [/C][/ROW] [ROW]

Raw Output[/C]

view raw output of R engine [/C][/ROW] [ROW]

Computing time[/C]

7 seconds[/C][/ROW] [ROW]

R Server[/C]

Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=310549&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=310549&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	7 seconds
R Server	Big Analytics Cloud Computing Center

Structural Time Series Model -- Interpolation
t	Observed	Level	Slope	Seasonal	Stand. Residuals
1	63.2	63.2	0	0	0
2	68.6	65.5781762819066	0.183879863210131	1.03931588791438	1.30680877938049
3	77.7	71.1688363907234	0.597109422653983	2.64290848096108	2.76253646172166
4	68.1	70.4648468439734	0.521827789162221	-1.28277816774081	-0.741405563685136
5	75.1	72.2840880320832	0.578928876999949	1.64567678466431	0.783846448341033
6	73.3	72.9338864843509	0.581462185473928	0.299749918288616	0.0439741982976354
7	60.5	68.2856736090029	0.41922597688384	-2.8004022756908	-3.28606724128737
8	65.9	66.9369143268289	0.369271354945268	0.663730241507895	-1.11795046837972
9	77.7	70.965306693078	0.466341911191449	3.19766732811585	2.32162618631585
10	67.7	70.2007480112209	0.435135017100184	-1.30749537301727	-0.782510566524362
11	67.7	69.2202411287478	0.400488691513471	-0.145357377480714	-0.901072183608708
12	67.7	68.5876957910236	0.375944187242136	0.116916235398305	-0.658108225303572
13	67.7	69.6593186087439	0.324942191745816	-2.72868568778089	0.558864770649573
14	67.7	69.4960693791966	0.315396608137128	-1.38388360862215	-0.290038955526583
15	67.7	67.8671255729728	0.247896036161563	1.34202027288262	-1.09796359658461
16	67.7	68.4912870402663	0.259845607225769	-1.10045429364845	0.223236932675838
17	67.7	67.8581038442963	0.236711707237318	0.614003424846976	-0.551020385545968
18	67.7	67.1981198661495	0.217638474631442	1.29884150730496	-0.564698416162168
19	67.7	68.3107115332179	0.234036935067668	-1.41693173582707	0.56913012958054
20	67.7	68.6021056186921	0.234989474740164	-0.954116307031367	0.0366465985046579
21	67.7	67.2347828467347	0.209959997382002	1.92298611535129	-1.02615262253777
22	67.7	67.6903517397458	0.213623616896709	-0.214238223683545	0.157498642133839
23	67.7	67.8555155193995	0.21296246176032	-0.111243294861582	-0.0311079621695008
24	67.7	67.9793827937947	0.212226317156771	-0.197368220055158	-0.0574091399620476
25	73.2	70.3454114547161	0.168567621902624	0.760346825361775	1.49488314866158
26	72.2	71.5663249051175	0.177814382401858	-0.292478118110326	0.661312695968394
27	79.3	74.2245124410363	0.230809434629451	3.03421425287965	1.48619864944224
28	77.5	76.118707017409	0.268492294201256	-0.00310996579352629	1.01079665125761
29	75.6	76.01452903096	0.261006754490415	-0.0954536444738249	-0.231846947521264
30	77.4	76.3149632653619	0.261680494729166	1.05056985960953	0.0249264675176476
31	69.2	74.4544681932054	0.230318150556002	-3.37691769000617	-1.35369600626157
32	67.1	71.8767416284052	0.19310579081851	-2.27638462576879	-1.79955832655715
33	77.9	73.0602045468001	0.205216256358425	3.95486725839309	0.636223422306467
34	82.7	76.6589186935615	0.24325355680712	3.00170982462711	2.18301578420709
35	75.7	77.0057327565152	0.244211228657538	-1.39875268204123	0.0666982357201333
36	70.1	75.3238609160706	0.23584783736123	-3.48156541634391	-1.24614154080882
37	76.4	75.7419841904911	0.234770109182339	0.489197087496764	0.121069016746304
38	74.3	75.9950841503058	0.234883476025786	-1.71130536690974	0.0116707679937321
39	80.5	76.9175433912508	0.245073084258384	2.99959179277097	0.424016051505478
40	78	77.4571880029928	0.250154437246649	0.29383928627539	0.181928124557847
41	73.5	76.1912149191355	0.225241695021501	-1.39043936063534	-0.949191382392376
42	78.8	76.2696744623989	0.223097577166697	2.65816818883475	-0.0930240190805553
43	71.2	75.4402770818366	0.209576355313532	-3.31403566887328	-0.672366469428871
44	66.2	73.3568348131646	0.183322761348281	-5.12612439518947	-1.47165229464859
45	82.7	75.5577299904564	0.204095272002068	5.34870461047512	1.29819237059593
46	83.8	77.6347979141703	0.220968432684583	4.49578449872933	1.20684876165631
47	75	77.3068476232408	0.217138258467218	-1.81622095221956	-0.354118732511763
48	80.4	79.7029462242705	0.224808440110582	-1.26044984596398	1.4106198009781
49	74.6	78.2552317806651	0.225503544505425	-2.13923786492335	-1.09222459685995
50	77.7	78.7281926944371	0.22686668264942	-1.2471700045383	0.158183651369065
51	89.8	81.6859168259869	0.257567135307463	5.76209638235083	1.71028402499788
52	82.4	82.0356400059972	0.258828891808336	0.285501139158594	0.0575709234746394
53	77	80.8614189075275	0.239132980817996	-2.62587712363775	-0.902154121364476
54	89.6	82.7091453482335	0.259565318618933	5.48925801015738	1.0218027923698
55	75.7	81.5235286039043	0.24310548140853	-4.55343727879631	-0.924280779483556
56	75.1	81.4669260198237	0.240066932164403	-6.10197534879158	-0.192520400105635
57	89.9	82.9078066789758	0.250806099333247	5.92657386159126	0.773316686891478
58	88.8	83.6640963157389	0.254645146073852	4.68613790625422	0.325985166815065
59	86.5	85.7600919620811	0.265334852948176	-0.902464132279465	1.1888023617934
60	90	87.8400138316393	0.271729815168603	0.536236298663138	1.17403743576021
61	84	87.8769311923095	0.271261780875025	-3.66629544293377	-0.152233894572706
62	82.7	87.1423618610066	0.265942229424009	-3.55285057353142	-0.644100598672602
63	91.7	86.7545419494879	0.259972812742253	5.51361114209628	-0.413129387817866
64	87.5	86.8264296970403	0.257857302091508	0.835972741098343	-0.118458710921307
65	82	86.3701720369511	0.249513259068039	-3.75137605802213	-0.451694163026773
66	92.2	86.3400745156735	0.246401145038028	6.10398520625032	-0.178013062709476
67	73.1	83.514601901929	0.215190358912763	-7.71467039831353	-1.96672632120985
68	75.6	82.9475331376074	0.208093298506926	-6.65638003387643	-0.502800188047844
69	91.6	84.1043885732131	0.215618023386745	6.65431249853964	0.611285111541024
70	87.5	84.2677456447759	0.215269865134207	3.27871221631359	-0.0337172163744378
71	90.1	86.9513359115175	0.228076451139856	0.949984844585748	1.59400706503586
72	91.3	88.572713572416	0.233225372363859	1.48385663162022	0.900754862170811
73	87.6	89.6188333361758	0.235767929534823	-2.74414603164995	0.525296966993017
74	88.4	90.5570622860507	0.239390057930168	-2.7780714227718	0.450369189267382
75	100.7	92.3205937756271	0.251262830290812	7.04755914968923	0.968579363271064
76	85.3	89.7696657370659	0.224607753302775	-2.03439503241417	-1.77523278743445
77	92	91.4794794345239	0.239577046981706	-0.772139384697053	0.943138872287748
78	96.8	91.0091114249592	0.232608717862527	6.41189701843005	-0.452940119578889
79	77.9	89.1761010629899	0.213812099734154	-9.45934720112129	-1.32383341478722
80	80.9	88.7257946550804	0.208381549650276	-7.23905199669093	-0.427078022705995
81	95.3	88.8887385054552	0.208056844685138	6.45153686413008	-0.0292838114487221
82	99.3	91.9072659148113	0.224979930913036	4.89588990846229	1.81359555336185
83	96.1	93.7396206598351	0.232764009274826	0.930030135281839	1.03804392891242
84	92.5	93.3434018916919	0.230341836179545	-0.283134997504621	-0.406364918356345
85	93.7	94.6493844314073	0.234297461201804	-1.90638600365346	0.694056562081428
86	92.1	95.1205539895943	0.235487491201226	-3.22995536555862	0.152018724444282
87	103.6	95.4144354667434	0.235888955314555	8.13435341798396	0.0372494751547125
88	92.5	95.4294571536674	0.234068945264604	-2.73660339640619	-0.140525840055431
89	95.7	95.6943230865762	0.234340333779121	-0.0212264876101877	0.0196200013444097
90	103.4	95.9555868262392	0.234574967608046	7.42081225164595	0.0172098456422591
91	89	96.9166572729747	0.240522054754348	-8.55621912537392	0.46605789313358
92	89.1	97.1118506003039	0.240185837562228	-7.9717946878242	-0.0291630498694891
93	98.7	96.1225978944556	0.232170309483688	3.66695837793162	-0.792519687644108
94	109.4	99.2323043721761	0.248162092792576	7.61241508111614	1.85705320018517
95	101.1	99.9836874213989	0.250489585316564	0.6688599937508	0.324958787008623
96	95.4	98.9423825825299	0.245387625318324	-2.39322134023739	-0.834207804446974
97	101.4	100.50104311943	0.250555358624771	-0.267639237630384	0.846862530187738
98	102.1	102.460689015383	0.258890912039238	-1.87188691029733	1.09784748578914
99	103.6	100.404434033513	0.244515122900126	5.2311090863123	-1.48081420628991
100	106	103.206162910383	0.263130485777275	0.553109629654615	1.63226426550288
101	98.4	102.040441591237	0.251983441880843	-2.38845482574397	-0.912677068180201
102	106.6	101.192916916228	0.243413219840029	6.37280666078489	-0.704010165305092
103	95.8	102.294969782397	0.249768881921072	-7.25162826611011	0.55133769858077
104	87.2	100.076070661849	0.233056808645382	-10.6937889143621	-1.58896151268915
105	108.5	102.040684216225	0.243457807646074	4.92483487507813	1.11640735097701
106	107	101.515848498521	0.239462036759734	6.16619324681085	-0.495858164398254
107	92	98.0214109385501	0.222788655279667	-2.70322150181699	-2.41101568152201
108	94.9	97.7668119155388	0.220883168369853	-2.44250727046103	-0.308201585016727
109	84.4	93.5450602333607	0.202952817687346	-5.20190281519598	-2.86429896383593
110	85	90.6243736882781	0.188211788940323	-2.86144235631445	-2.00814996468215
111	94	90.0279489241087	0.183741203811796	4.66324403040571	-0.502880710740754
112	84.5	87.6659460721162	0.167109026909904	-0.929274178597133	-1.62895014876222
113	88.2	88.3215233156931	0.170521285353156	-0.550588307015688	0.312673812476436
114	92.1	87.6116798357775	0.16433729462113	5.26292516129003	-0.56452234377308
115	81.1	87.5469289134357	0.16279526794248	-6.24484569647095	-0.147224839592342
116	81.2	89.2509945870128	0.172374865838674	-9.41406670393912	0.992471140336502
117	96.1	89.8272092751611	0.174627203642849	5.91488970406026	0.260422918724025
118	95.3	89.044494368512	0.169925678346961	7.10521419854067	-0.617909038107702
119	92.1	90.6371078760593	0.176085681020212	0.199100815045278	0.91860361343434
120	91.7	91.2065943099165	0.177654351597937	0.143943663841014	0.253947722045967
121	90.3	92.2588813818477	0.181195067231652	-2.73486912757598	0.563927006390537
122	96.1	94.5145239580095	0.190645385131271	-0.250212498571135	1.33463468048108
123	108.7	97.7426631344206	0.206702518142945	8.27756618447113	1.94979812924486
124	95.9	97.9506289756531	0.206710020887372	-2.05174125713688	0.000809919646724654
125	95.1	97.210145627605	0.200724185678479	-1.27645074782446	-0.607362907696016
126	109.4	99.657592279779	0.215053431851504	7.76253753809178	1.4425090397805
127	91.2	99.529357583789	0.212939730064716	-8.02624400885123	-0.220789497598992
128	91.4	100.127699577543	0.2151514987408	-9.06870829511606	0.248278104249023
129	107.4	100.720303516873	0.217118366540648	6.3451313656236	0.243456621502919
130	105.6	100.434011579728	0.214770292585113	5.61276421819778	-0.324948361046307
131	105.3	102.286247125351	0.221652988606519	1.55953131425416	1.05728169271032
132	103.7	103.347495507292	0.224968504706037	-0.393077120651814	0.54196484765902
133	99.5	103.701284346694	0.22548485403009	-4.31556005006108	0.0830719027226939
134	103.2	104.261579353787	0.226955038665356	-1.35799317226166	0.215551677899931
135	123.1	108.052712527897	0.244576943329687	11.8990147836019	2.29073376927059
136	102.2	107.271224443954	0.238980116677918	-4.16631325582266	-0.658818126379695
137	110	109.047887504191	0.247851484007393	-0.403588957469525	0.987405624469462
138	106.2	105.735688845281	0.227086573045688	3.60573405890777	-2.2882268565287
139	91.3	103.41960030588	0.212678616851176	-9.8720282474325	-1.6368416489863
140	99.3	105.030034144504	0.220124549766888	-6.9674085700589	0.900814884281666
141	111.8	105.478108005205	0.221239976803272	6.11980083609177	0.147059323206967
142	104.4	103.688487194132	0.212297729032845	2.49615855872313	-1.29813375009503
143	102.4	102.816319956014	0.207873712442586	0.546666721182238	-0.700250318689153
144	101	102.440164997046	0.205604313270657	-0.921611327717476	-0.377016562208671
145	100.6	103.552086963327	0.209172559008994	-3.75609734566816	0.584588907393553
146	104.5	105.051246107426	0.214627961514668	-1.69384166408338	0.831000653950467
147	117.4	105.312562071199	0.214845158145624	12.0461557994561	0.0300373952517041
148	97.4	104.200447501557	0.208140877956922	-5.62856130877103	-0.853069593368702
149	99.5	102.077357396583	0.195763169381248	-0.519145638586545	-1.49874053466918
150	106.4	101.86092303891	0.193549442777438	4.90322832701577	-0.265189461728653
151	95.2	103.200385115453	0.199556703575632	-9.01394132565601	0.738011796495829
152	94	102.599264740714	0.195577955011727	-7.89010212558403	-0.516220916971982
153	104.1	100.713450304601	0.185973456901671	5.23229433901728	-1.34309808679589
154	105.8	101.320472783856	0.1877632611665	4.10581681880148	0.271847587286531
155	101.1	101.189297956926	0.186501418597229	0.193906190550661	-0.205958668867547
156	93.5	99.1601235913774	0.178069292643438	-3.69290213751316	-1.43047674604465
157	97.9	100.033883757143	0.180745791077509	-2.7511234788681	0.448849173862411
158	96.8	99.5735989963662	0.178135812123119	-2.20554365399054	-0.413172752903223
159	108.4	98.1923399215946	0.171277920996222	11.5876991822706	-1.00410836636308
160	103.5	101.48512982616	0.18598783817971	-0.744996060005816	2.00877748269985
161	101.3	102.00364790379	0.187624226050391	-0.997579877467071	0.213993242402934
162	107.4	102.436316804237	0.188843578654984	4.74698180629468	0.157778639613022
163	100.7	104.83560135891	0.199623694179694	-6.09220174446716	1.42444177015247
164	91.1	102.894906921109	0.189657389912857	-9.898289792897	-1.38045591132936
165	105	101.749477435327	0.183827022864385	4.43478350154428	-0.861719152610792
166	112.8	103.924868542356	0.191934720712471	7.10725361963276	1.2860305016448
167	105.6	104.438689957275	0.193168826464835	0.87547399519267	0.207886434396949
168	101	104.769362490456	0.193679587375637	-3.89145429316499	0.088787730615824
169	101.9	104.769587308565	0.192954756856985	-2.69791476275845	-0.124848388857703
170	103.5	105.133051606734	0.193623134627546	-1.78421898554533	0.109954935504103
171	109.5	103.337780600238	0.185323345994349	7.92368610209309	-1.28158263183398
172	105	104.156990291365	0.188125731654596	0.282024184227484	0.408267376997389
173	102.9	104.353377271605	0.1881636448105	-1.4606868947658	0.0053207774484484
174	108.5	104.496742321057	0.187955916175188	4.04290957255692	-0.0288650565307274
175	96.9	103.75096018237	0.183698511626405	-6.02388598526899	-0.602032306761001
176	88.4	101.82363565774	0.174449185155076	-11.5520981966992	-1.36205500534743
177	112.4	104.117198429184	0.183234178102794	6.40253710841446	1.36808862206828
178	111.3	104.523296064015	0.18410436723871	6.57883886920225	0.143935155495353
179	101.6	103.384310158691	0.179191949292719	-0.60928222009586	-0.854618598799375
180	101.2	103.885475797666	0.180356434837079	-2.97139522745559	0.207937598713335
181	101.8	104.17357971597	0.180748721312989	-2.46921733326112	0.0695553606800936
182	98.8	102.802583970503	0.174891200264518	-2.6262693873988	-1.0011023350669
183	114.4	104.084983150001	0.17929042798849	9.3335034908316	0.714081105431853
184	104.5	104.326039184937	0.179547857880095	0.119253820974519	0.0398097153692419
185	97.6	102.583055157798	0.171274895425092	-3.2805279122281	-1.23910922914487
186	109.1	103.123058324458	0.172876410395569	5.65032310855609	0.237727888334989
187	94.5	102.160799866925	0.168015452249915	-6.65471486628779	-0.732231935481235
188	90.4	102.391139912087	0.168273362618639	-12.0464187334052	0.0402262636628568
189	111.8	103.492515451839	0.171955397450915	7.47930680879454	0.602549662640982
190	110.5	103.653007511479	0.17191241463628	6.8571719653462	-0.00740482945413858
191	106.8	105.07407973682	0.176401622263468	0.616390987793688	0.806989720878184
192	101.8	105.173832700949	0.176132168913036	-3.30575627199879	-0.0495105134321975
193	103.7	105.42812270713	0.176408279745328	-1.79751374148927	0.0504677313413581
194	107.4	107.250569355273	0.182394258994415	-1.31111508694639	1.06236106485749
195	117.5	107.76917130588	0.183668819513169	9.43269566413622	0.216889419048584
196	109.6	108.222294492314	0.184731990227803	1.13887584348299	0.173776616222245
197	102.8	107.660523603106	0.181705604379791	-4.19895863907968	-0.481427336870089
198	115.5	108.301506747755	0.183582799040984	6.79139082620614	0.296265825522844
199	97.8	107.231710658363	0.178520905180895	-8.3202051825528	-0.808853771982908
200	100.2	109.092906427016	0.18511992531383	-10.3859829502135	1.08640089613772
201	112.9	108.210303707197	0.181099894209155	5.63763990530285	-0.689643166685078
202	108.7	106.268954841393	0.173449061059518	4.3161844745355	-1.37126145296349
203	109	106.901304228087	0.175044917975426	1.69102159262038	0.29651075612272
204	113.9	110.654979238535	0.187258876697775	0.0660278013729481	2.31202853649775
205	106.9	110.764303481307	0.186991961953691	-3.79509255186538	-0.050336817245136
206	109.6	110.99892795637	0.187158930706104	-1.44120900071003	0.0307534318318173
207	124.5	112.519990389851	0.191996155451275	10.7965536089155	0.860907087476535
208	104.2	109.468019281819	0.179835505313431	-2.39097361064763	-2.09319681005086
209	110.8	111.155447715044	0.185617679648238	-1.69236340206684	0.972772530080223
210	118.7	111.539976675853	0.186385939211368	6.98360351483031	0.128372113057727
211	102.1	111.487027459114	0.185470933205832	-9.17467629204783	-0.154512229617719
212	105.1	112.712991226651	0.189349978890397	-8.53660860999857	0.67198560966968

\begin{tabular}{lllllllll}
\hline
Structural Time Series Model -- Interpolation \tabularnewline
t & Observed & Level & Slope & Seasonal & Stand. Residuals \tabularnewline
1 & 63.2 & 63.2 & 0 & 0 & 0 \tabularnewline
2 & 68.6 & 65.5781762819066 & 0.183879863210131 & 1.03931588791438 & 1.30680877938049 \tabularnewline
3 & 77.7 & 71.1688363907234 & 0.597109422653983 & 2.64290848096108 & 2.76253646172166 \tabularnewline
4 & 68.1 & 70.4648468439734 & 0.521827789162221 & -1.28277816774081 & -0.741405563685136 \tabularnewline
5 & 75.1 & 72.2840880320832 & 0.578928876999949 & 1.64567678466431 & 0.783846448341033 \tabularnewline
6 & 73.3 & 72.9338864843509 & 0.581462185473928 & 0.299749918288616 & 0.0439741982976354 \tabularnewline
7 & 60.5 & 68.2856736090029 & 0.41922597688384 & -2.8004022756908 & -3.28606724128737 \tabularnewline
8 & 65.9 & 66.9369143268289 & 0.369271354945268 & 0.663730241507895 & -1.11795046837972 \tabularnewline
9 & 77.7 & 70.965306693078 & 0.466341911191449 & 3.19766732811585 & 2.32162618631585 \tabularnewline
10 & 67.7 & 70.2007480112209 & 0.435135017100184 & -1.30749537301727 & -0.782510566524362 \tabularnewline
11 & 67.7 & 69.2202411287478 & 0.400488691513471 & -0.145357377480714 & -0.901072183608708 \tabularnewline
12 & 67.7 & 68.5876957910236 & 0.375944187242136 & 0.116916235398305 & -0.658108225303572 \tabularnewline
13 & 67.7 & 69.6593186087439 & 0.324942191745816 & -2.72868568778089 & 0.558864770649573 \tabularnewline
14 & 67.7 & 69.4960693791966 & 0.315396608137128 & -1.38388360862215 & -0.290038955526583 \tabularnewline
15 & 67.7 & 67.8671255729728 & 0.247896036161563 & 1.34202027288262 & -1.09796359658461 \tabularnewline
16 & 67.7 & 68.4912870402663 & 0.259845607225769 & -1.10045429364845 & 0.223236932675838 \tabularnewline
17 & 67.7 & 67.8581038442963 & 0.236711707237318 & 0.614003424846976 & -0.551020385545968 \tabularnewline
18 & 67.7 & 67.1981198661495 & 0.217638474631442 & 1.29884150730496 & -0.564698416162168 \tabularnewline
19 & 67.7 & 68.3107115332179 & 0.234036935067668 & -1.41693173582707 & 0.56913012958054 \tabularnewline
20 & 67.7 & 68.6021056186921 & 0.234989474740164 & -0.954116307031367 & 0.0366465985046579 \tabularnewline
21 & 67.7 & 67.2347828467347 & 0.209959997382002 & 1.92298611535129 & -1.02615262253777 \tabularnewline
22 & 67.7 & 67.6903517397458 & 0.213623616896709 & -0.214238223683545 & 0.157498642133839 \tabularnewline
23 & 67.7 & 67.8555155193995 & 0.21296246176032 & -0.111243294861582 & -0.0311079621695008 \tabularnewline
24 & 67.7 & 67.9793827937947 & 0.212226317156771 & -0.197368220055158 & -0.0574091399620476 \tabularnewline
25 & 73.2 & 70.3454114547161 & 0.168567621902624 & 0.760346825361775 & 1.49488314866158 \tabularnewline
26 & 72.2 & 71.5663249051175 & 0.177814382401858 & -0.292478118110326 & 0.661312695968394 \tabularnewline
27 & 79.3 & 74.2245124410363 & 0.230809434629451 & 3.03421425287965 & 1.48619864944224 \tabularnewline
28 & 77.5 & 76.118707017409 & 0.268492294201256 & -0.00310996579352629 & 1.01079665125761 \tabularnewline
29 & 75.6 & 76.01452903096 & 0.261006754490415 & -0.0954536444738249 & -0.231846947521264 \tabularnewline
30 & 77.4 & 76.3149632653619 & 0.261680494729166 & 1.05056985960953 & 0.0249264675176476 \tabularnewline
31 & 69.2 & 74.4544681932054 & 0.230318150556002 & -3.37691769000617 & -1.35369600626157 \tabularnewline
32 & 67.1 & 71.8767416284052 & 0.19310579081851 & -2.27638462576879 & -1.79955832655715 \tabularnewline
33 & 77.9 & 73.0602045468001 & 0.205216256358425 & 3.95486725839309 & 0.636223422306467 \tabularnewline
34 & 82.7 & 76.6589186935615 & 0.24325355680712 & 3.00170982462711 & 2.18301578420709 \tabularnewline
35 & 75.7 & 77.0057327565152 & 0.244211228657538 & -1.39875268204123 & 0.0666982357201333 \tabularnewline
36 & 70.1 & 75.3238609160706 & 0.23584783736123 & -3.48156541634391 & -1.24614154080882 \tabularnewline
37 & 76.4 & 75.7419841904911 & 0.234770109182339 & 0.489197087496764 & 0.121069016746304 \tabularnewline
38 & 74.3 & 75.9950841503058 & 0.234883476025786 & -1.71130536690974 & 0.0116707679937321 \tabularnewline
39 & 80.5 & 76.9175433912508 & 0.245073084258384 & 2.99959179277097 & 0.424016051505478 \tabularnewline
40 & 78 & 77.4571880029928 & 0.250154437246649 & 0.29383928627539 & 0.181928124557847 \tabularnewline
41 & 73.5 & 76.1912149191355 & 0.225241695021501 & -1.39043936063534 & -0.949191382392376 \tabularnewline
42 & 78.8 & 76.2696744623989 & 0.223097577166697 & 2.65816818883475 & -0.0930240190805553 \tabularnewline
43 & 71.2 & 75.4402770818366 & 0.209576355313532 & -3.31403566887328 & -0.672366469428871 \tabularnewline
44 & 66.2 & 73.3568348131646 & 0.183322761348281 & -5.12612439518947 & -1.47165229464859 \tabularnewline
45 & 82.7 & 75.5577299904564 & 0.204095272002068 & 5.34870461047512 & 1.29819237059593 \tabularnewline
46 & 83.8 & 77.6347979141703 & 0.220968432684583 & 4.49578449872933 & 1.20684876165631 \tabularnewline
47 & 75 & 77.3068476232408 & 0.217138258467218 & -1.81622095221956 & -0.354118732511763 \tabularnewline
48 & 80.4 & 79.7029462242705 & 0.224808440110582 & -1.26044984596398 & 1.4106198009781 \tabularnewline
49 & 74.6 & 78.2552317806651 & 0.225503544505425 & -2.13923786492335 & -1.09222459685995 \tabularnewline
50 & 77.7 & 78.7281926944371 & 0.22686668264942 & -1.2471700045383 & 0.158183651369065 \tabularnewline
51 & 89.8 & 81.6859168259869 & 0.257567135307463 & 5.76209638235083 & 1.71028402499788 \tabularnewline
52 & 82.4 & 82.0356400059972 & 0.258828891808336 & 0.285501139158594 & 0.0575709234746394 \tabularnewline
53 & 77 & 80.8614189075275 & 0.239132980817996 & -2.62587712363775 & -0.902154121364476 \tabularnewline
54 & 89.6 & 82.7091453482335 & 0.259565318618933 & 5.48925801015738 & 1.0218027923698 \tabularnewline
55 & 75.7 & 81.5235286039043 & 0.24310548140853 & -4.55343727879631 & -0.924280779483556 \tabularnewline
56 & 75.1 & 81.4669260198237 & 0.240066932164403 & -6.10197534879158 & -0.192520400105635 \tabularnewline
57 & 89.9 & 82.9078066789758 & 0.250806099333247 & 5.92657386159126 & 0.773316686891478 \tabularnewline
58 & 88.8 & 83.6640963157389 & 0.254645146073852 & 4.68613790625422 & 0.325985166815065 \tabularnewline
59 & 86.5 & 85.7600919620811 & 0.265334852948176 & -0.902464132279465 & 1.1888023617934 \tabularnewline
60 & 90 & 87.8400138316393 & 0.271729815168603 & 0.536236298663138 & 1.17403743576021 \tabularnewline
61 & 84 & 87.8769311923095 & 0.271261780875025 & -3.66629544293377 & -0.152233894572706 \tabularnewline
62 & 82.7 & 87.1423618610066 & 0.265942229424009 & -3.55285057353142 & -0.644100598672602 \tabularnewline
63 & 91.7 & 86.7545419494879 & 0.259972812742253 & 5.51361114209628 & -0.413129387817866 \tabularnewline
64 & 87.5 & 86.8264296970403 & 0.257857302091508 & 0.835972741098343 & -0.118458710921307 \tabularnewline
65 & 82 & 86.3701720369511 & 0.249513259068039 & -3.75137605802213 & -0.451694163026773 \tabularnewline
66 & 92.2 & 86.3400745156735 & 0.246401145038028 & 6.10398520625032 & -0.178013062709476 \tabularnewline
67 & 73.1 & 83.514601901929 & 0.215190358912763 & -7.71467039831353 & -1.96672632120985 \tabularnewline
68 & 75.6 & 82.9475331376074 & 0.208093298506926 & -6.65638003387643 & -0.502800188047844 \tabularnewline
69 & 91.6 & 84.1043885732131 & 0.215618023386745 & 6.65431249853964 & 0.611285111541024 \tabularnewline
70 & 87.5 & 84.2677456447759 & 0.215269865134207 & 3.27871221631359 & -0.0337172163744378 \tabularnewline
71 & 90.1 & 86.9513359115175 & 0.228076451139856 & 0.949984844585748 & 1.59400706503586 \tabularnewline
72 & 91.3 & 88.572713572416 & 0.233225372363859 & 1.48385663162022 & 0.900754862170811 \tabularnewline
73 & 87.6 & 89.6188333361758 & 0.235767929534823 & -2.74414603164995 & 0.525296966993017 \tabularnewline
74 & 88.4 & 90.5570622860507 & 0.239390057930168 & -2.7780714227718 & 0.450369189267382 \tabularnewline
75 & 100.7 & 92.3205937756271 & 0.251262830290812 & 7.04755914968923 & 0.968579363271064 \tabularnewline
76 & 85.3 & 89.7696657370659 & 0.224607753302775 & -2.03439503241417 & -1.77523278743445 \tabularnewline
77 & 92 & 91.4794794345239 & 0.239577046981706 & -0.772139384697053 & 0.943138872287748 \tabularnewline
78 & 96.8 & 91.0091114249592 & 0.232608717862527 & 6.41189701843005 & -0.452940119578889 \tabularnewline
79 & 77.9 & 89.1761010629899 & 0.213812099734154 & -9.45934720112129 & -1.32383341478722 \tabularnewline
80 & 80.9 & 88.7257946550804 & 0.208381549650276 & -7.23905199669093 & -0.427078022705995 \tabularnewline
81 & 95.3 & 88.8887385054552 & 0.208056844685138 & 6.45153686413008 & -0.0292838114487221 \tabularnewline
82 & 99.3 & 91.9072659148113 & 0.224979930913036 & 4.89588990846229 & 1.81359555336185 \tabularnewline
83 & 96.1 & 93.7396206598351 & 0.232764009274826 & 0.930030135281839 & 1.03804392891242 \tabularnewline
84 & 92.5 & 93.3434018916919 & 0.230341836179545 & -0.283134997504621 & -0.406364918356345 \tabularnewline
85 & 93.7 & 94.6493844314073 & 0.234297461201804 & -1.90638600365346 & 0.694056562081428 \tabularnewline
86 & 92.1 & 95.1205539895943 & 0.235487491201226 & -3.22995536555862 & 0.152018724444282 \tabularnewline
87 & 103.6 & 95.4144354667434 & 0.235888955314555 & 8.13435341798396 & 0.0372494751547125 \tabularnewline
88 & 92.5 & 95.4294571536674 & 0.234068945264604 & -2.73660339640619 & -0.140525840055431 \tabularnewline
89 & 95.7 & 95.6943230865762 & 0.234340333779121 & -0.0212264876101877 & 0.0196200013444097 \tabularnewline
90 & 103.4 & 95.9555868262392 & 0.234574967608046 & 7.42081225164595 & 0.0172098456422591 \tabularnewline
91 & 89 & 96.9166572729747 & 0.240522054754348 & -8.55621912537392 & 0.46605789313358 \tabularnewline
92 & 89.1 & 97.1118506003039 & 0.240185837562228 & -7.9717946878242 & -0.0291630498694891 \tabularnewline
93 & 98.7 & 96.1225978944556 & 0.232170309483688 & 3.66695837793162 & -0.792519687644108 \tabularnewline
94 & 109.4 & 99.2323043721761 & 0.248162092792576 & 7.61241508111614 & 1.85705320018517 \tabularnewline
95 & 101.1 & 99.9836874213989 & 0.250489585316564 & 0.6688599937508 & 0.324958787008623 \tabularnewline
96 & 95.4 & 98.9423825825299 & 0.245387625318324 & -2.39322134023739 & -0.834207804446974 \tabularnewline
97 & 101.4 & 100.50104311943 & 0.250555358624771 & -0.267639237630384 & 0.846862530187738 \tabularnewline
98 & 102.1 & 102.460689015383 & 0.258890912039238 & -1.87188691029733 & 1.09784748578914 \tabularnewline
99 & 103.6 & 100.404434033513 & 0.244515122900126 & 5.2311090863123 & -1.48081420628991 \tabularnewline
100 & 106 & 103.206162910383 & 0.263130485777275 & 0.553109629654615 & 1.63226426550288 \tabularnewline
101 & 98.4 & 102.040441591237 & 0.251983441880843 & -2.38845482574397 & -0.912677068180201 \tabularnewline
102 & 106.6 & 101.192916916228 & 0.243413219840029 & 6.37280666078489 & -0.704010165305092 \tabularnewline
103 & 95.8 & 102.294969782397 & 0.249768881921072 & -7.25162826611011 & 0.55133769858077 \tabularnewline
104 & 87.2 & 100.076070661849 & 0.233056808645382 & -10.6937889143621 & -1.58896151268915 \tabularnewline
105 & 108.5 & 102.040684216225 & 0.243457807646074 & 4.92483487507813 & 1.11640735097701 \tabularnewline
106 & 107 & 101.515848498521 & 0.239462036759734 & 6.16619324681085 & -0.495858164398254 \tabularnewline
107 & 92 & 98.0214109385501 & 0.222788655279667 & -2.70322150181699 & -2.41101568152201 \tabularnewline
108 & 94.9 & 97.7668119155388 & 0.220883168369853 & -2.44250727046103 & -0.308201585016727 \tabularnewline
109 & 84.4 & 93.5450602333607 & 0.202952817687346 & -5.20190281519598 & -2.86429896383593 \tabularnewline
110 & 85 & 90.6243736882781 & 0.188211788940323 & -2.86144235631445 & -2.00814996468215 \tabularnewline
111 & 94 & 90.0279489241087 & 0.183741203811796 & 4.66324403040571 & -0.502880710740754 \tabularnewline
112 & 84.5 & 87.6659460721162 & 0.167109026909904 & -0.929274178597133 & -1.62895014876222 \tabularnewline
113 & 88.2 & 88.3215233156931 & 0.170521285353156 & -0.550588307015688 & 0.312673812476436 \tabularnewline
114 & 92.1 & 87.6116798357775 & 0.16433729462113 & 5.26292516129003 & -0.56452234377308 \tabularnewline
115 & 81.1 & 87.5469289134357 & 0.16279526794248 & -6.24484569647095 & -0.147224839592342 \tabularnewline
116 & 81.2 & 89.2509945870128 & 0.172374865838674 & -9.41406670393912 & 0.992471140336502 \tabularnewline
117 & 96.1 & 89.8272092751611 & 0.174627203642849 & 5.91488970406026 & 0.260422918724025 \tabularnewline
118 & 95.3 & 89.044494368512 & 0.169925678346961 & 7.10521419854067 & -0.617909038107702 \tabularnewline
119 & 92.1 & 90.6371078760593 & 0.176085681020212 & 0.199100815045278 & 0.91860361343434 \tabularnewline
120 & 91.7 & 91.2065943099165 & 0.177654351597937 & 0.143943663841014 & 0.253947722045967 \tabularnewline
121 & 90.3 & 92.2588813818477 & 0.181195067231652 & -2.73486912757598 & 0.563927006390537 \tabularnewline
122 & 96.1 & 94.5145239580095 & 0.190645385131271 & -0.250212498571135 & 1.33463468048108 \tabularnewline
123 & 108.7 & 97.7426631344206 & 0.206702518142945 & 8.27756618447113 & 1.94979812924486 \tabularnewline
124 & 95.9 & 97.9506289756531 & 0.206710020887372 & -2.05174125713688 & 0.000809919646724654 \tabularnewline
125 & 95.1 & 97.210145627605 & 0.200724185678479 & -1.27645074782446 & -0.607362907696016 \tabularnewline
126 & 109.4 & 99.657592279779 & 0.215053431851504 & 7.76253753809178 & 1.4425090397805 \tabularnewline
127 & 91.2 & 99.529357583789 & 0.212939730064716 & -8.02624400885123 & -0.220789497598992 \tabularnewline
128 & 91.4 & 100.127699577543 & 0.2151514987408 & -9.06870829511606 & 0.248278104249023 \tabularnewline
129 & 107.4 & 100.720303516873 & 0.217118366540648 & 6.3451313656236 & 0.243456621502919 \tabularnewline
130 & 105.6 & 100.434011579728 & 0.214770292585113 & 5.61276421819778 & -0.324948361046307 \tabularnewline
131 & 105.3 & 102.286247125351 & 0.221652988606519 & 1.55953131425416 & 1.05728169271032 \tabularnewline
132 & 103.7 & 103.347495507292 & 0.224968504706037 & -0.393077120651814 & 0.54196484765902 \tabularnewline
133 & 99.5 & 103.701284346694 & 0.22548485403009 & -4.31556005006108 & 0.0830719027226939 \tabularnewline
134 & 103.2 & 104.261579353787 & 0.226955038665356 & -1.35799317226166 & 0.215551677899931 \tabularnewline
135 & 123.1 & 108.052712527897 & 0.244576943329687 & 11.8990147836019 & 2.29073376927059 \tabularnewline
136 & 102.2 & 107.271224443954 & 0.238980116677918 & -4.16631325582266 & -0.658818126379695 \tabularnewline
137 & 110 & 109.047887504191 & 0.247851484007393 & -0.403588957469525 & 0.987405624469462 \tabularnewline
138 & 106.2 & 105.735688845281 & 0.227086573045688 & 3.60573405890777 & -2.2882268565287 \tabularnewline
139 & 91.3 & 103.41960030588 & 0.212678616851176 & -9.8720282474325 & -1.6368416489863 \tabularnewline
140 & 99.3 & 105.030034144504 & 0.220124549766888 & -6.9674085700589 & 0.900814884281666 \tabularnewline
141 & 111.8 & 105.478108005205 & 0.221239976803272 & 6.11980083609177 & 0.147059323206967 \tabularnewline
142 & 104.4 & 103.688487194132 & 0.212297729032845 & 2.49615855872313 & -1.29813375009503 \tabularnewline
143 & 102.4 & 102.816319956014 & 0.207873712442586 & 0.546666721182238 & -0.700250318689153 \tabularnewline
144 & 101 & 102.440164997046 & 0.205604313270657 & -0.921611327717476 & -0.377016562208671 \tabularnewline
145 & 100.6 & 103.552086963327 & 0.209172559008994 & -3.75609734566816 & 0.584588907393553 \tabularnewline
146 & 104.5 & 105.051246107426 & 0.214627961514668 & -1.69384166408338 & 0.831000653950467 \tabularnewline
147 & 117.4 & 105.312562071199 & 0.214845158145624 & 12.0461557994561 & 0.0300373952517041 \tabularnewline
148 & 97.4 & 104.200447501557 & 0.208140877956922 & -5.62856130877103 & -0.853069593368702 \tabularnewline
149 & 99.5 & 102.077357396583 & 0.195763169381248 & -0.519145638586545 & -1.49874053466918 \tabularnewline
150 & 106.4 & 101.86092303891 & 0.193549442777438 & 4.90322832701577 & -0.265189461728653 \tabularnewline
151 & 95.2 & 103.200385115453 & 0.199556703575632 & -9.01394132565601 & 0.738011796495829 \tabularnewline
152 & 94 & 102.599264740714 & 0.195577955011727 & -7.89010212558403 & -0.516220916971982 \tabularnewline
153 & 104.1 & 100.713450304601 & 0.185973456901671 & 5.23229433901728 & -1.34309808679589 \tabularnewline
154 & 105.8 & 101.320472783856 & 0.1877632611665 & 4.10581681880148 & 0.271847587286531 \tabularnewline
155 & 101.1 & 101.189297956926 & 0.186501418597229 & 0.193906190550661 & -0.205958668867547 \tabularnewline
156 & 93.5 & 99.1601235913774 & 0.178069292643438 & -3.69290213751316 & -1.43047674604465 \tabularnewline
157 & 97.9 & 100.033883757143 & 0.180745791077509 & -2.7511234788681 & 0.448849173862411 \tabularnewline
158 & 96.8 & 99.5735989963662 & 0.178135812123119 & -2.20554365399054 & -0.413172752903223 \tabularnewline
159 & 108.4 & 98.1923399215946 & 0.171277920996222 & 11.5876991822706 & -1.00410836636308 \tabularnewline
160 & 103.5 & 101.48512982616 & 0.18598783817971 & -0.744996060005816 & 2.00877748269985 \tabularnewline
161 & 101.3 & 102.00364790379 & 0.187624226050391 & -0.997579877467071 & 0.213993242402934 \tabularnewline
162 & 107.4 & 102.436316804237 & 0.188843578654984 & 4.74698180629468 & 0.157778639613022 \tabularnewline
163 & 100.7 & 104.83560135891 & 0.199623694179694 & -6.09220174446716 & 1.42444177015247 \tabularnewline
164 & 91.1 & 102.894906921109 & 0.189657389912857 & -9.898289792897 & -1.38045591132936 \tabularnewline
165 & 105 & 101.749477435327 & 0.183827022864385 & 4.43478350154428 & -0.861719152610792 \tabularnewline
166 & 112.8 & 103.924868542356 & 0.191934720712471 & 7.10725361963276 & 1.2860305016448 \tabularnewline
167 & 105.6 & 104.438689957275 & 0.193168826464835 & 0.87547399519267 & 0.207886434396949 \tabularnewline
168 & 101 & 104.769362490456 & 0.193679587375637 & -3.89145429316499 & 0.088787730615824 \tabularnewline
169 & 101.9 & 104.769587308565 & 0.192954756856985 & -2.69791476275845 & -0.124848388857703 \tabularnewline
170 & 103.5 & 105.133051606734 & 0.193623134627546 & -1.78421898554533 & 0.109954935504103 \tabularnewline
171 & 109.5 & 103.337780600238 & 0.185323345994349 & 7.92368610209309 & -1.28158263183398 \tabularnewline
172 & 105 & 104.156990291365 & 0.188125731654596 & 0.282024184227484 & 0.408267376997389 \tabularnewline
173 & 102.9 & 104.353377271605 & 0.1881636448105 & -1.4606868947658 & 0.0053207774484484 \tabularnewline
174 & 108.5 & 104.496742321057 & 0.187955916175188 & 4.04290957255692 & -0.0288650565307274 \tabularnewline
175 & 96.9 & 103.75096018237 & 0.183698511626405 & -6.02388598526899 & -0.602032306761001 \tabularnewline
176 & 88.4 & 101.82363565774 & 0.174449185155076 & -11.5520981966992 & -1.36205500534743 \tabularnewline
177 & 112.4 & 104.117198429184 & 0.183234178102794 & 6.40253710841446 & 1.36808862206828 \tabularnewline
178 & 111.3 & 104.523296064015 & 0.18410436723871 & 6.57883886920225 & 0.143935155495353 \tabularnewline
179 & 101.6 & 103.384310158691 & 0.179191949292719 & -0.60928222009586 & -0.854618598799375 \tabularnewline
180 & 101.2 & 103.885475797666 & 0.180356434837079 & -2.97139522745559 & 0.207937598713335 \tabularnewline
181 & 101.8 & 104.17357971597 & 0.180748721312989 & -2.46921733326112 & 0.0695553606800936 \tabularnewline
182 & 98.8 & 102.802583970503 & 0.174891200264518 & -2.6262693873988 & -1.0011023350669 \tabularnewline
183 & 114.4 & 104.084983150001 & 0.17929042798849 & 9.3335034908316 & 0.714081105431853 \tabularnewline
184 & 104.5 & 104.326039184937 & 0.179547857880095 & 0.119253820974519 & 0.0398097153692419 \tabularnewline
185 & 97.6 & 102.583055157798 & 0.171274895425092 & -3.2805279122281 & -1.23910922914487 \tabularnewline
186 & 109.1 & 103.123058324458 & 0.172876410395569 & 5.65032310855609 & 0.237727888334989 \tabularnewline
187 & 94.5 & 102.160799866925 & 0.168015452249915 & -6.65471486628779 & -0.732231935481235 \tabularnewline
188 & 90.4 & 102.391139912087 & 0.168273362618639 & -12.0464187334052 & 0.0402262636628568 \tabularnewline
189 & 111.8 & 103.492515451839 & 0.171955397450915 & 7.47930680879454 & 0.602549662640982 \tabularnewline
190 & 110.5 & 103.653007511479 & 0.17191241463628 & 6.8571719653462 & -0.00740482945413858 \tabularnewline
191 & 106.8 & 105.07407973682 & 0.176401622263468 & 0.616390987793688 & 0.806989720878184 \tabularnewline
192 & 101.8 & 105.173832700949 & 0.176132168913036 & -3.30575627199879 & -0.0495105134321975 \tabularnewline
193 & 103.7 & 105.42812270713 & 0.176408279745328 & -1.79751374148927 & 0.0504677313413581 \tabularnewline
194 & 107.4 & 107.250569355273 & 0.182394258994415 & -1.31111508694639 & 1.06236106485749 \tabularnewline
195 & 117.5 & 107.76917130588 & 0.183668819513169 & 9.43269566413622 & 0.216889419048584 \tabularnewline
196 & 109.6 & 108.222294492314 & 0.184731990227803 & 1.13887584348299 & 0.173776616222245 \tabularnewline
197 & 102.8 & 107.660523603106 & 0.181705604379791 & -4.19895863907968 & -0.481427336870089 \tabularnewline
198 & 115.5 & 108.301506747755 & 0.183582799040984 & 6.79139082620614 & 0.296265825522844 \tabularnewline
199 & 97.8 & 107.231710658363 & 0.178520905180895 & -8.3202051825528 & -0.808853771982908 \tabularnewline
200 & 100.2 & 109.092906427016 & 0.18511992531383 & -10.3859829502135 & 1.08640089613772 \tabularnewline
201 & 112.9 & 108.210303707197 & 0.181099894209155 & 5.63763990530285 & -0.689643166685078 \tabularnewline
202 & 108.7 & 106.268954841393 & 0.173449061059518 & 4.3161844745355 & -1.37126145296349 \tabularnewline
203 & 109 & 106.901304228087 & 0.175044917975426 & 1.69102159262038 & 0.29651075612272 \tabularnewline
204 & 113.9 & 110.654979238535 & 0.187258876697775 & 0.0660278013729481 & 2.31202853649775 \tabularnewline
205 & 106.9 & 110.764303481307 & 0.186991961953691 & -3.79509255186538 & -0.050336817245136 \tabularnewline
206 & 109.6 & 110.99892795637 & 0.187158930706104 & -1.44120900071003 & 0.0307534318318173 \tabularnewline
207 & 124.5 & 112.519990389851 & 0.191996155451275 & 10.7965536089155 & 0.860907087476535 \tabularnewline
208 & 104.2 & 109.468019281819 & 0.179835505313431 & -2.39097361064763 & -2.09319681005086 \tabularnewline
209 & 110.8 & 111.155447715044 & 0.185617679648238 & -1.69236340206684 & 0.972772530080223 \tabularnewline
210 & 118.7 & 111.539976675853 & 0.186385939211368 & 6.98360351483031 & 0.128372113057727 \tabularnewline
211 & 102.1 & 111.487027459114 & 0.185470933205832 & -9.17467629204783 & -0.154512229617719 \tabularnewline
212 & 105.1 & 112.712991226651 & 0.189349978890397 & -8.53660860999857 & 0.67198560966968 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=310549&T=1

[TABLE]
[ROW][C]Structural Time Series Model -- Interpolation[/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]63.2[/C][C]63.2[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]68.6[/C][C]65.5781762819066[/C][C]0.183879863210131[/C][C]1.03931588791438[/C][C]1.30680877938049[/C][/ROW]
[ROW][C]3[/C][C]77.7[/C][C]71.1688363907234[/C][C]0.597109422653983[/C][C]2.64290848096108[/C][C]2.76253646172166[/C][/ROW]
[ROW][C]4[/C][C]68.1[/C][C]70.4648468439734[/C][C]0.521827789162221[/C][C]-1.28277816774081[/C][C]-0.741405563685136[/C][/ROW]
[ROW][C]5[/C][C]75.1[/C][C]72.2840880320832[/C][C]0.578928876999949[/C][C]1.64567678466431[/C][C]0.783846448341033[/C][/ROW]
[ROW][C]6[/C][C]73.3[/C][C]72.9338864843509[/C][C]0.581462185473928[/C][C]0.299749918288616[/C][C]0.0439741982976354[/C][/ROW]
[ROW][C]7[/C][C]60.5[/C][C]68.2856736090029[/C][C]0.41922597688384[/C][C]-2.8004022756908[/C][C]-3.28606724128737[/C][/ROW]
[ROW][C]8[/C][C]65.9[/C][C]66.9369143268289[/C][C]0.369271354945268[/C][C]0.663730241507895[/C][C]-1.11795046837972[/C][/ROW]
[ROW][C]9[/C][C]77.7[/C][C]70.965306693078[/C][C]0.466341911191449[/C][C]3.19766732811585[/C][C]2.32162618631585[/C][/ROW]
[ROW][C]10[/C][C]67.7[/C][C]70.2007480112209[/C][C]0.435135017100184[/C][C]-1.30749537301727[/C][C]-0.782510566524362[/C][/ROW]
[ROW][C]11[/C][C]67.7[/C][C]69.2202411287478[/C][C]0.400488691513471[/C][C]-0.145357377480714[/C][C]-0.901072183608708[/C][/ROW]
[ROW][C]12[/C][C]67.7[/C][C]68.5876957910236[/C][C]0.375944187242136[/C][C]0.116916235398305[/C][C]-0.658108225303572[/C][/ROW]
[ROW][C]13[/C][C]67.7[/C][C]69.6593186087439[/C][C]0.324942191745816[/C][C]-2.72868568778089[/C][C]0.558864770649573[/C][/ROW]
[ROW][C]14[/C][C]67.7[/C][C]69.4960693791966[/C][C]0.315396608137128[/C][C]-1.38388360862215[/C][C]-0.290038955526583[/C][/ROW]
[ROW][C]15[/C][C]67.7[/C][C]67.8671255729728[/C][C]0.247896036161563[/C][C]1.34202027288262[/C][C]-1.09796359658461[/C][/ROW]
[ROW][C]16[/C][C]67.7[/C][C]68.4912870402663[/C][C]0.259845607225769[/C][C]-1.10045429364845[/C][C]0.223236932675838[/C][/ROW]
[ROW][C]17[/C][C]67.7[/C][C]67.8581038442963[/C][C]0.236711707237318[/C][C]0.614003424846976[/C][C]-0.551020385545968[/C][/ROW]
[ROW][C]18[/C][C]67.7[/C][C]67.1981198661495[/C][C]0.217638474631442[/C][C]1.29884150730496[/C][C]-0.564698416162168[/C][/ROW]
[ROW][C]19[/C][C]67.7[/C][C]68.3107115332179[/C][C]0.234036935067668[/C][C]-1.41693173582707[/C][C]0.56913012958054[/C][/ROW]
[ROW][C]20[/C][C]67.7[/C][C]68.6021056186921[/C][C]0.234989474740164[/C][C]-0.954116307031367[/C][C]0.0366465985046579[/C][/ROW]
[ROW][C]21[/C][C]67.7[/C][C]67.2347828467347[/C][C]0.209959997382002[/C][C]1.92298611535129[/C][C]-1.02615262253777[/C][/ROW]
[ROW][C]22[/C][C]67.7[/C][C]67.6903517397458[/C][C]0.213623616896709[/C][C]-0.214238223683545[/C][C]0.157498642133839[/C][/ROW]
[ROW][C]23[/C][C]67.7[/C][C]67.8555155193995[/C][C]0.21296246176032[/C][C]-0.111243294861582[/C][C]-0.0311079621695008[/C][/ROW]
[ROW][C]24[/C][C]67.7[/C][C]67.9793827937947[/C][C]0.212226317156771[/C][C]-0.197368220055158[/C][C]-0.0574091399620476[/C][/ROW]
[ROW][C]25[/C][C]73.2[/C][C]70.3454114547161[/C][C]0.168567621902624[/C][C]0.760346825361775[/C][C]1.49488314866158[/C][/ROW]
[ROW][C]26[/C][C]72.2[/C][C]71.5663249051175[/C][C]0.177814382401858[/C][C]-0.292478118110326[/C][C]0.661312695968394[/C][/ROW]
[ROW][C]27[/C][C]79.3[/C][C]74.2245124410363[/C][C]0.230809434629451[/C][C]3.03421425287965[/C][C]1.48619864944224[/C][/ROW]
[ROW][C]28[/C][C]77.5[/C][C]76.118707017409[/C][C]0.268492294201256[/C][C]-0.00310996579352629[/C][C]1.01079665125761[/C][/ROW]
[ROW][C]29[/C][C]75.6[/C][C]76.01452903096[/C][C]0.261006754490415[/C][C]-0.0954536444738249[/C][C]-0.231846947521264[/C][/ROW]
[ROW][C]30[/C][C]77.4[/C][C]76.3149632653619[/C][C]0.261680494729166[/C][C]1.05056985960953[/C][C]0.0249264675176476[/C][/ROW]
[ROW][C]31[/C][C]69.2[/C][C]74.4544681932054[/C][C]0.230318150556002[/C][C]-3.37691769000617[/C][C]-1.35369600626157[/C][/ROW]
[ROW][C]32[/C][C]67.1[/C][C]71.8767416284052[/C][C]0.19310579081851[/C][C]-2.27638462576879[/C][C]-1.79955832655715[/C][/ROW]
[ROW][C]33[/C][C]77.9[/C][C]73.0602045468001[/C][C]0.205216256358425[/C][C]3.95486725839309[/C][C]0.636223422306467[/C][/ROW]
[ROW][C]34[/C][C]82.7[/C][C]76.6589186935615[/C][C]0.24325355680712[/C][C]3.00170982462711[/C][C]2.18301578420709[/C][/ROW]
[ROW][C]35[/C][C]75.7[/C][C]77.0057327565152[/C][C]0.244211228657538[/C][C]-1.39875268204123[/C][C]0.0666982357201333[/C][/ROW]
[ROW][C]36[/C][C]70.1[/C][C]75.3238609160706[/C][C]0.23584783736123[/C][C]-3.48156541634391[/C][C]-1.24614154080882[/C][/ROW]
[ROW][C]37[/C][C]76.4[/C][C]75.7419841904911[/C][C]0.234770109182339[/C][C]0.489197087496764[/C][C]0.121069016746304[/C][/ROW]
[ROW][C]38[/C][C]74.3[/C][C]75.9950841503058[/C][C]0.234883476025786[/C][C]-1.71130536690974[/C][C]0.0116707679937321[/C][/ROW]
[ROW][C]39[/C][C]80.5[/C][C]76.9175433912508[/C][C]0.245073084258384[/C][C]2.99959179277097[/C][C]0.424016051505478[/C][/ROW]
[ROW][C]40[/C][C]78[/C][C]77.4571880029928[/C][C]0.250154437246649[/C][C]0.29383928627539[/C][C]0.181928124557847[/C][/ROW]
[ROW][C]41[/C][C]73.5[/C][C]76.1912149191355[/C][C]0.225241695021501[/C][C]-1.39043936063534[/C][C]-0.949191382392376[/C][/ROW]
[ROW][C]42[/C][C]78.8[/C][C]76.2696744623989[/C][C]0.223097577166697[/C][C]2.65816818883475[/C][C]-0.0930240190805553[/C][/ROW]
[ROW][C]43[/C][C]71.2[/C][C]75.4402770818366[/C][C]0.209576355313532[/C][C]-3.31403566887328[/C][C]-0.672366469428871[/C][/ROW]
[ROW][C]44[/C][C]66.2[/C][C]73.3568348131646[/C][C]0.183322761348281[/C][C]-5.12612439518947[/C][C]-1.47165229464859[/C][/ROW]
[ROW][C]45[/C][C]82.7[/C][C]75.5577299904564[/C][C]0.204095272002068[/C][C]5.34870461047512[/C][C]1.29819237059593[/C][/ROW]
[ROW][C]46[/C][C]83.8[/C][C]77.6347979141703[/C][C]0.220968432684583[/C][C]4.49578449872933[/C][C]1.20684876165631[/C][/ROW]
[ROW][C]47[/C][C]75[/C][C]77.3068476232408[/C][C]0.217138258467218[/C][C]-1.81622095221956[/C][C]-0.354118732511763[/C][/ROW]
[ROW][C]48[/C][C]80.4[/C][C]79.7029462242705[/C][C]0.224808440110582[/C][C]-1.26044984596398[/C][C]1.4106198009781[/C][/ROW]
[ROW][C]49[/C][C]74.6[/C][C]78.2552317806651[/C][C]0.225503544505425[/C][C]-2.13923786492335[/C][C]-1.09222459685995[/C][/ROW]
[ROW][C]50[/C][C]77.7[/C][C]78.7281926944371[/C][C]0.22686668264942[/C][C]-1.2471700045383[/C][C]0.158183651369065[/C][/ROW]
[ROW][C]51[/C][C]89.8[/C][C]81.6859168259869[/C][C]0.257567135307463[/C][C]5.76209638235083[/C][C]1.71028402499788[/C][/ROW]
[ROW][C]52[/C][C]82.4[/C][C]82.0356400059972[/C][C]0.258828891808336[/C][C]0.285501139158594[/C][C]0.0575709234746394[/C][/ROW]
[ROW][C]53[/C][C]77[/C][C]80.8614189075275[/C][C]0.239132980817996[/C][C]-2.62587712363775[/C][C]-0.902154121364476[/C][/ROW]
[ROW][C]54[/C][C]89.6[/C][C]82.7091453482335[/C][C]0.259565318618933[/C][C]5.48925801015738[/C][C]1.0218027923698[/C][/ROW]
[ROW][C]55[/C][C]75.7[/C][C]81.5235286039043[/C][C]0.24310548140853[/C][C]-4.55343727879631[/C][C]-0.924280779483556[/C][/ROW]
[ROW][C]56[/C][C]75.1[/C][C]81.4669260198237[/C][C]0.240066932164403[/C][C]-6.10197534879158[/C][C]-0.192520400105635[/C][/ROW]
[ROW][C]57[/C][C]89.9[/C][C]82.9078066789758[/C][C]0.250806099333247[/C][C]5.92657386159126[/C][C]0.773316686891478[/C][/ROW]
[ROW][C]58[/C][C]88.8[/C][C]83.6640963157389[/C][C]0.254645146073852[/C][C]4.68613790625422[/C][C]0.325985166815065[/C][/ROW]
[ROW][C]59[/C][C]86.5[/C][C]85.7600919620811[/C][C]0.265334852948176[/C][C]-0.902464132279465[/C][C]1.1888023617934[/C][/ROW]
[ROW][C]60[/C][C]90[/C][C]87.8400138316393[/C][C]0.271729815168603[/C][C]0.536236298663138[/C][C]1.17403743576021[/C][/ROW]
[ROW][C]61[/C][C]84[/C][C]87.8769311923095[/C][C]0.271261780875025[/C][C]-3.66629544293377[/C][C]-0.152233894572706[/C][/ROW]
[ROW][C]62[/C][C]82.7[/C][C]87.1423618610066[/C][C]0.265942229424009[/C][C]-3.55285057353142[/C][C]-0.644100598672602[/C][/ROW]
[ROW][C]63[/C][C]91.7[/C][C]86.7545419494879[/C][C]0.259972812742253[/C][C]5.51361114209628[/C][C]-0.413129387817866[/C][/ROW]
[ROW][C]64[/C][C]87.5[/C][C]86.8264296970403[/C][C]0.257857302091508[/C][C]0.835972741098343[/C][C]-0.118458710921307[/C][/ROW]
[ROW][C]65[/C][C]82[/C][C]86.3701720369511[/C][C]0.249513259068039[/C][C]-3.75137605802213[/C][C]-0.451694163026773[/C][/ROW]
[ROW][C]66[/C][C]92.2[/C][C]86.3400745156735[/C][C]0.246401145038028[/C][C]6.10398520625032[/C][C]-0.178013062709476[/C][/ROW]
[ROW][C]67[/C][C]73.1[/C][C]83.514601901929[/C][C]0.215190358912763[/C][C]-7.71467039831353[/C][C]-1.96672632120985[/C][/ROW]
[ROW][C]68[/C][C]75.6[/C][C]82.9475331376074[/C][C]0.208093298506926[/C][C]-6.65638003387643[/C][C]-0.502800188047844[/C][/ROW]
[ROW][C]69[/C][C]91.6[/C][C]84.1043885732131[/C][C]0.215618023386745[/C][C]6.65431249853964[/C][C]0.611285111541024[/C][/ROW]
[ROW][C]70[/C][C]87.5[/C][C]84.2677456447759[/C][C]0.215269865134207[/C][C]3.27871221631359[/C][C]-0.0337172163744378[/C][/ROW]
[ROW][C]71[/C][C]90.1[/C][C]86.9513359115175[/C][C]0.228076451139856[/C][C]0.949984844585748[/C][C]1.59400706503586[/C][/ROW]
[ROW][C]72[/C][C]91.3[/C][C]88.572713572416[/C][C]0.233225372363859[/C][C]1.48385663162022[/C][C]0.900754862170811[/C][/ROW]
[ROW][C]73[/C][C]87.6[/C][C]89.6188333361758[/C][C]0.235767929534823[/C][C]-2.74414603164995[/C][C]0.525296966993017[/C][/ROW]
[ROW][C]74[/C][C]88.4[/C][C]90.5570622860507[/C][C]0.239390057930168[/C][C]-2.7780714227718[/C][C]0.450369189267382[/C][/ROW]
[ROW][C]75[/C][C]100.7[/C][C]92.3205937756271[/C][C]0.251262830290812[/C][C]7.04755914968923[/C][C]0.968579363271064[/C][/ROW]
[ROW][C]76[/C][C]85.3[/C][C]89.7696657370659[/C][C]0.224607753302775[/C][C]-2.03439503241417[/C][C]-1.77523278743445[/C][/ROW]
[ROW][C]77[/C][C]92[/C][C]91.4794794345239[/C][C]0.239577046981706[/C][C]-0.772139384697053[/C][C]0.943138872287748[/C][/ROW]
[ROW][C]78[/C][C]96.8[/C][C]91.0091114249592[/C][C]0.232608717862527[/C][C]6.41189701843005[/C][C]-0.452940119578889[/C][/ROW]
[ROW][C]79[/C][C]77.9[/C][C]89.1761010629899[/C][C]0.213812099734154[/C][C]-9.45934720112129[/C][C]-1.32383341478722[/C][/ROW]
[ROW][C]80[/C][C]80.9[/C][C]88.7257946550804[/C][C]0.208381549650276[/C][C]-7.23905199669093[/C][C]-0.427078022705995[/C][/ROW]
[ROW][C]81[/C][C]95.3[/C][C]88.8887385054552[/C][C]0.208056844685138[/C][C]6.45153686413008[/C][C]-0.0292838114487221[/C][/ROW]
[ROW][C]82[/C][C]99.3[/C][C]91.9072659148113[/C][C]0.224979930913036[/C][C]4.89588990846229[/C][C]1.81359555336185[/C][/ROW]
[ROW][C]83[/C][C]96.1[/C][C]93.7396206598351[/C][C]0.232764009274826[/C][C]0.930030135281839[/C][C]1.03804392891242[/C][/ROW]
[ROW][C]84[/C][C]92.5[/C][C]93.3434018916919[/C][C]0.230341836179545[/C][C]-0.283134997504621[/C][C]-0.406364918356345[/C][/ROW]
[ROW][C]85[/C][C]93.7[/C][C]94.6493844314073[/C][C]0.234297461201804[/C][C]-1.90638600365346[/C][C]0.694056562081428[/C][/ROW]
[ROW][C]86[/C][C]92.1[/C][C]95.1205539895943[/C][C]0.235487491201226[/C][C]-3.22995536555862[/C][C]0.152018724444282[/C][/ROW]
[ROW][C]87[/C][C]103.6[/C][C]95.4144354667434[/C][C]0.235888955314555[/C][C]8.13435341798396[/C][C]0.0372494751547125[/C][/ROW]
[ROW][C]88[/C][C]92.5[/C][C]95.4294571536674[/C][C]0.234068945264604[/C][C]-2.73660339640619[/C][C]-0.140525840055431[/C][/ROW]
[ROW][C]89[/C][C]95.7[/C][C]95.6943230865762[/C][C]0.234340333779121[/C][C]-0.0212264876101877[/C][C]0.0196200013444097[/C][/ROW]
[ROW][C]90[/C][C]103.4[/C][C]95.9555868262392[/C][C]0.234574967608046[/C][C]7.42081225164595[/C][C]0.0172098456422591[/C][/ROW]
[ROW][C]91[/C][C]89[/C][C]96.9166572729747[/C][C]0.240522054754348[/C][C]-8.55621912537392[/C][C]0.46605789313358[/C][/ROW]
[ROW][C]92[/C][C]89.1[/C][C]97.1118506003039[/C][C]0.240185837562228[/C][C]-7.9717946878242[/C][C]-0.0291630498694891[/C][/ROW]
[ROW][C]93[/C][C]98.7[/C][C]96.1225978944556[/C][C]0.232170309483688[/C][C]3.66695837793162[/C][C]-0.792519687644108[/C][/ROW]
[ROW][C]94[/C][C]109.4[/C][C]99.2323043721761[/C][C]0.248162092792576[/C][C]7.61241508111614[/C][C]1.85705320018517[/C][/ROW]
[ROW][C]95[/C][C]101.1[/C][C]99.9836874213989[/C][C]0.250489585316564[/C][C]0.6688599937508[/C][C]0.324958787008623[/C][/ROW]
[ROW][C]96[/C][C]95.4[/C][C]98.9423825825299[/C][C]0.245387625318324[/C][C]-2.39322134023739[/C][C]-0.834207804446974[/C][/ROW]
[ROW][C]97[/C][C]101.4[/C][C]100.50104311943[/C][C]0.250555358624771[/C][C]-0.267639237630384[/C][C]0.846862530187738[/C][/ROW]
[ROW][C]98[/C][C]102.1[/C][C]102.460689015383[/C][C]0.258890912039238[/C][C]-1.87188691029733[/C][C]1.09784748578914[/C][/ROW]
[ROW][C]99[/C][C]103.6[/C][C]100.404434033513[/C][C]0.244515122900126[/C][C]5.2311090863123[/C][C]-1.48081420628991[/C][/ROW]
[ROW][C]100[/C][C]106[/C][C]103.206162910383[/C][C]0.263130485777275[/C][C]0.553109629654615[/C][C]1.63226426550288[/C][/ROW]
[ROW][C]101[/C][C]98.4[/C][C]102.040441591237[/C][C]0.251983441880843[/C][C]-2.38845482574397[/C][C]-0.912677068180201[/C][/ROW]
[ROW][C]102[/C][C]106.6[/C][C]101.192916916228[/C][C]0.243413219840029[/C][C]6.37280666078489[/C][C]-0.704010165305092[/C][/ROW]
[ROW][C]103[/C][C]95.8[/C][C]102.294969782397[/C][C]0.249768881921072[/C][C]-7.25162826611011[/C][C]0.55133769858077[/C][/ROW]
[ROW][C]104[/C][C]87.2[/C][C]100.076070661849[/C][C]0.233056808645382[/C][C]-10.6937889143621[/C][C]-1.58896151268915[/C][/ROW]
[ROW][C]105[/C][C]108.5[/C][C]102.040684216225[/C][C]0.243457807646074[/C][C]4.92483487507813[/C][C]1.11640735097701[/C][/ROW]
[ROW][C]106[/C][C]107[/C][C]101.515848498521[/C][C]0.239462036759734[/C][C]6.16619324681085[/C][C]-0.495858164398254[/C][/ROW]
[ROW][C]107[/C][C]92[/C][C]98.0214109385501[/C][C]0.222788655279667[/C][C]-2.70322150181699[/C][C]-2.41101568152201[/C][/ROW]
[ROW][C]108[/C][C]94.9[/C][C]97.7668119155388[/C][C]0.220883168369853[/C][C]-2.44250727046103[/C][C]-0.308201585016727[/C][/ROW]
[ROW][C]109[/C][C]84.4[/C][C]93.5450602333607[/C][C]0.202952817687346[/C][C]-5.20190281519598[/C][C]-2.86429896383593[/C][/ROW]
[ROW][C]110[/C][C]85[/C][C]90.6243736882781[/C][C]0.188211788940323[/C][C]-2.86144235631445[/C][C]-2.00814996468215[/C][/ROW]
[ROW][C]111[/C][C]94[/C][C]90.0279489241087[/C][C]0.183741203811796[/C][C]4.66324403040571[/C][C]-0.502880710740754[/C][/ROW]
[ROW][C]112[/C][C]84.5[/C][C]87.6659460721162[/C][C]0.167109026909904[/C][C]-0.929274178597133[/C][C]-1.62895014876222[/C][/ROW]
[ROW][C]113[/C][C]88.2[/C][C]88.3215233156931[/C][C]0.170521285353156[/C][C]-0.550588307015688[/C][C]0.312673812476436[/C][/ROW]
[ROW][C]114[/C][C]92.1[/C][C]87.6116798357775[/C][C]0.16433729462113[/C][C]5.26292516129003[/C][C]-0.56452234377308[/C][/ROW]
[ROW][C]115[/C][C]81.1[/C][C]87.5469289134357[/C][C]0.16279526794248[/C][C]-6.24484569647095[/C][C]-0.147224839592342[/C][/ROW]
[ROW][C]116[/C][C]81.2[/C][C]89.2509945870128[/C][C]0.172374865838674[/C][C]-9.41406670393912[/C][C]0.992471140336502[/C][/ROW]
[ROW][C]117[/C][C]96.1[/C][C]89.8272092751611[/C][C]0.174627203642849[/C][C]5.91488970406026[/C][C]0.260422918724025[/C][/ROW]
[ROW][C]118[/C][C]95.3[/C][C]89.044494368512[/C][C]0.169925678346961[/C][C]7.10521419854067[/C][C]-0.617909038107702[/C][/ROW]
[ROW][C]119[/C][C]92.1[/C][C]90.6371078760593[/C][C]0.176085681020212[/C][C]0.199100815045278[/C][C]0.91860361343434[/C][/ROW]
[ROW][C]120[/C][C]91.7[/C][C]91.2065943099165[/C][C]0.177654351597937[/C][C]0.143943663841014[/C][C]0.253947722045967[/C][/ROW]
[ROW][C]121[/C][C]90.3[/C][C]92.2588813818477[/C][C]0.181195067231652[/C][C]-2.73486912757598[/C][C]0.563927006390537[/C][/ROW]
[ROW][C]122[/C][C]96.1[/C][C]94.5145239580095[/C][C]0.190645385131271[/C][C]-0.250212498571135[/C][C]1.33463468048108[/C][/ROW]
[ROW][C]123[/C][C]108.7[/C][C]97.7426631344206[/C][C]0.206702518142945[/C][C]8.27756618447113[/C][C]1.94979812924486[/C][/ROW]
[ROW][C]124[/C][C]95.9[/C][C]97.9506289756531[/C][C]0.206710020887372[/C][C]-2.05174125713688[/C][C]0.000809919646724654[/C][/ROW]
[ROW][C]125[/C][C]95.1[/C][C]97.210145627605[/C][C]0.200724185678479[/C][C]-1.27645074782446[/C][C]-0.607362907696016[/C][/ROW]
[ROW][C]126[/C][C]109.4[/C][C]99.657592279779[/C][C]0.215053431851504[/C][C]7.76253753809178[/C][C]1.4425090397805[/C][/ROW]
[ROW][C]127[/C][C]91.2[/C][C]99.529357583789[/C][C]0.212939730064716[/C][C]-8.02624400885123[/C][C]-0.220789497598992[/C][/ROW]
[ROW][C]128[/C][C]91.4[/C][C]100.127699577543[/C][C]0.2151514987408[/C][C]-9.06870829511606[/C][C]0.248278104249023[/C][/ROW]
[ROW][C]129[/C][C]107.4[/C][C]100.720303516873[/C][C]0.217118366540648[/C][C]6.3451313656236[/C][C]0.243456621502919[/C][/ROW]
[ROW][C]130[/C][C]105.6[/C][C]100.434011579728[/C][C]0.214770292585113[/C][C]5.61276421819778[/C][C]-0.324948361046307[/C][/ROW]
[ROW][C]131[/C][C]105.3[/C][C]102.286247125351[/C][C]0.221652988606519[/C][C]1.55953131425416[/C][C]1.05728169271032[/C][/ROW]
[ROW][C]132[/C][C]103.7[/C][C]103.347495507292[/C][C]0.224968504706037[/C][C]-0.393077120651814[/C][C]0.54196484765902[/C][/ROW]
[ROW][C]133[/C][C]99.5[/C][C]103.701284346694[/C][C]0.22548485403009[/C][C]-4.31556005006108[/C][C]0.0830719027226939[/C][/ROW]
[ROW][C]134[/C][C]103.2[/C][C]104.261579353787[/C][C]0.226955038665356[/C][C]-1.35799317226166[/C][C]0.215551677899931[/C][/ROW]
[ROW][C]135[/C][C]123.1[/C][C]108.052712527897[/C][C]0.244576943329687[/C][C]11.8990147836019[/C][C]2.29073376927059[/C][/ROW]
[ROW][C]136[/C][C]102.2[/C][C]107.271224443954[/C][C]0.238980116677918[/C][C]-4.16631325582266[/C][C]-0.658818126379695[/C][/ROW]
[ROW][C]137[/C][C]110[/C][C]109.047887504191[/C][C]0.247851484007393[/C][C]-0.403588957469525[/C][C]0.987405624469462[/C][/ROW]
[ROW][C]138[/C][C]106.2[/C][C]105.735688845281[/C][C]0.227086573045688[/C][C]3.60573405890777[/C][C]-2.2882268565287[/C][/ROW]
[ROW][C]139[/C][C]91.3[/C][C]103.41960030588[/C][C]0.212678616851176[/C][C]-9.8720282474325[/C][C]-1.6368416489863[/C][/ROW]
[ROW][C]140[/C][C]99.3[/C][C]105.030034144504[/C][C]0.220124549766888[/C][C]-6.9674085700589[/C][C]0.900814884281666[/C][/ROW]
[ROW][C]141[/C][C]111.8[/C][C]105.478108005205[/C][C]0.221239976803272[/C][C]6.11980083609177[/C][C]0.147059323206967[/C][/ROW]
[ROW][C]142[/C][C]104.4[/C][C]103.688487194132[/C][C]0.212297729032845[/C][C]2.49615855872313[/C][C]-1.29813375009503[/C][/ROW]
[ROW][C]143[/C][C]102.4[/C][C]102.816319956014[/C][C]0.207873712442586[/C][C]0.546666721182238[/C][C]-0.700250318689153[/C][/ROW]
[ROW][C]144[/C][C]101[/C][C]102.440164997046[/C][C]0.205604313270657[/C][C]-0.921611327717476[/C][C]-0.377016562208671[/C][/ROW]
[ROW][C]145[/C][C]100.6[/C][C]103.552086963327[/C][C]0.209172559008994[/C][C]-3.75609734566816[/C][C]0.584588907393553[/C][/ROW]
[ROW][C]146[/C][C]104.5[/C][C]105.051246107426[/C][C]0.214627961514668[/C][C]-1.69384166408338[/C][C]0.831000653950467[/C][/ROW]
[ROW][C]147[/C][C]117.4[/C][C]105.312562071199[/C][C]0.214845158145624[/C][C]12.0461557994561[/C][C]0.0300373952517041[/C][/ROW]
[ROW][C]148[/C][C]97.4[/C][C]104.200447501557[/C][C]0.208140877956922[/C][C]-5.62856130877103[/C][C]-0.853069593368702[/C][/ROW]
[ROW][C]149[/C][C]99.5[/C][C]102.077357396583[/C][C]0.195763169381248[/C][C]-0.519145638586545[/C][C]-1.49874053466918[/C][/ROW]
[ROW][C]150[/C][C]106.4[/C][C]101.86092303891[/C][C]0.193549442777438[/C][C]4.90322832701577[/C][C]-0.265189461728653[/C][/ROW]
[ROW][C]151[/C][C]95.2[/C][C]103.200385115453[/C][C]0.199556703575632[/C][C]-9.01394132565601[/C][C]0.738011796495829[/C][/ROW]
[ROW][C]152[/C][C]94[/C][C]102.599264740714[/C][C]0.195577955011727[/C][C]-7.89010212558403[/C][C]-0.516220916971982[/C][/ROW]
[ROW][C]153[/C][C]104.1[/C][C]100.713450304601[/C][C]0.185973456901671[/C][C]5.23229433901728[/C][C]-1.34309808679589[/C][/ROW]
[ROW][C]154[/C][C]105.8[/C][C]101.320472783856[/C][C]0.1877632611665[/C][C]4.10581681880148[/C][C]0.271847587286531[/C][/ROW]
[ROW][C]155[/C][C]101.1[/C][C]101.189297956926[/C][C]0.186501418597229[/C][C]0.193906190550661[/C][C]-0.205958668867547[/C][/ROW]
[ROW][C]156[/C][C]93.5[/C][C]99.1601235913774[/C][C]0.178069292643438[/C][C]-3.69290213751316[/C][C]-1.43047674604465[/C][/ROW]
[ROW][C]157[/C][C]97.9[/C][C]100.033883757143[/C][C]0.180745791077509[/C][C]-2.7511234788681[/C][C]0.448849173862411[/C][/ROW]
[ROW][C]158[/C][C]96.8[/C][C]99.5735989963662[/C][C]0.178135812123119[/C][C]-2.20554365399054[/C][C]-0.413172752903223[/C][/ROW]
[ROW][C]159[/C][C]108.4[/C][C]98.1923399215946[/C][C]0.171277920996222[/C][C]11.5876991822706[/C][C]-1.00410836636308[/C][/ROW]
[ROW][C]160[/C][C]103.5[/C][C]101.48512982616[/C][C]0.18598783817971[/C][C]-0.744996060005816[/C][C]2.00877748269985[/C][/ROW]
[ROW][C]161[/C][C]101.3[/C][C]102.00364790379[/C][C]0.187624226050391[/C][C]-0.997579877467071[/C][C]0.213993242402934[/C][/ROW]
[ROW][C]162[/C][C]107.4[/C][C]102.436316804237[/C][C]0.188843578654984[/C][C]4.74698180629468[/C][C]0.157778639613022[/C][/ROW]
[ROW][C]163[/C][C]100.7[/C][C]104.83560135891[/C][C]0.199623694179694[/C][C]-6.09220174446716[/C][C]1.42444177015247[/C][/ROW]
[ROW][C]164[/C][C]91.1[/C][C]102.894906921109[/C][C]0.189657389912857[/C][C]-9.898289792897[/C][C]-1.38045591132936[/C][/ROW]
[ROW][C]165[/C][C]105[/C][C]101.749477435327[/C][C]0.183827022864385[/C][C]4.43478350154428[/C][C]-0.861719152610792[/C][/ROW]
[ROW][C]166[/C][C]112.8[/C][C]103.924868542356[/C][C]0.191934720712471[/C][C]7.10725361963276[/C][C]1.2860305016448[/C][/ROW]
[ROW][C]167[/C][C]105.6[/C][C]104.438689957275[/C][C]0.193168826464835[/C][C]0.87547399519267[/C][C]0.207886434396949[/C][/ROW]
[ROW][C]168[/C][C]101[/C][C]104.769362490456[/C][C]0.193679587375637[/C][C]-3.89145429316499[/C][C]0.088787730615824[/C][/ROW]
[ROW][C]169[/C][C]101.9[/C][C]104.769587308565[/C][C]0.192954756856985[/C][C]-2.69791476275845[/C][C]-0.124848388857703[/C][/ROW]
[ROW][C]170[/C][C]103.5[/C][C]105.133051606734[/C][C]0.193623134627546[/C][C]-1.78421898554533[/C][C]0.109954935504103[/C][/ROW]
[ROW][C]171[/C][C]109.5[/C][C]103.337780600238[/C][C]0.185323345994349[/C][C]7.92368610209309[/C][C]-1.28158263183398[/C][/ROW]
[ROW][C]172[/C][C]105[/C][C]104.156990291365[/C][C]0.188125731654596[/C][C]0.282024184227484[/C][C]0.408267376997389[/C][/ROW]
[ROW][C]173[/C][C]102.9[/C][C]104.353377271605[/C][C]0.1881636448105[/C][C]-1.4606868947658[/C][C]0.0053207774484484[/C][/ROW]
[ROW][C]174[/C][C]108.5[/C][C]104.496742321057[/C][C]0.187955916175188[/C][C]4.04290957255692[/C][C]-0.0288650565307274[/C][/ROW]
[ROW][C]175[/C][C]96.9[/C][C]103.75096018237[/C][C]0.183698511626405[/C][C]-6.02388598526899[/C][C]-0.602032306761001[/C][/ROW]
[ROW][C]176[/C][C]88.4[/C][C]101.82363565774[/C][C]0.174449185155076[/C][C]-11.5520981966992[/C][C]-1.36205500534743[/C][/ROW]
[ROW][C]177[/C][C]112.4[/C][C]104.117198429184[/C][C]0.183234178102794[/C][C]6.40253710841446[/C][C]1.36808862206828[/C][/ROW]
[ROW][C]178[/C][C]111.3[/C][C]104.523296064015[/C][C]0.18410436723871[/C][C]6.57883886920225[/C][C]0.143935155495353[/C][/ROW]
[ROW][C]179[/C][C]101.6[/C][C]103.384310158691[/C][C]0.179191949292719[/C][C]-0.60928222009586[/C][C]-0.854618598799375[/C][/ROW]
[ROW][C]180[/C][C]101.2[/C][C]103.885475797666[/C][C]0.180356434837079[/C][C]-2.97139522745559[/C][C]0.207937598713335[/C][/ROW]
[ROW][C]181[/C][C]101.8[/C][C]104.17357971597[/C][C]0.180748721312989[/C][C]-2.46921733326112[/C][C]0.0695553606800936[/C][/ROW]
[ROW][C]182[/C][C]98.8[/C][C]102.802583970503[/C][C]0.174891200264518[/C][C]-2.6262693873988[/C][C]-1.0011023350669[/C][/ROW]
[ROW][C]183[/C][C]114.4[/C][C]104.084983150001[/C][C]0.17929042798849[/C][C]9.3335034908316[/C][C]0.714081105431853[/C][/ROW]
[ROW][C]184[/C][C]104.5[/C][C]104.326039184937[/C][C]0.179547857880095[/C][C]0.119253820974519[/C][C]0.0398097153692419[/C][/ROW]
[ROW][C]185[/C][C]97.6[/C][C]102.583055157798[/C][C]0.171274895425092[/C][C]-3.2805279122281[/C][C]-1.23910922914487[/C][/ROW]
[ROW][C]186[/C][C]109.1[/C][C]103.123058324458[/C][C]0.172876410395569[/C][C]5.65032310855609[/C][C]0.237727888334989[/C][/ROW]
[ROW][C]187[/C][C]94.5[/C][C]102.160799866925[/C][C]0.168015452249915[/C][C]-6.65471486628779[/C][C]-0.732231935481235[/C][/ROW]
[ROW][C]188[/C][C]90.4[/C][C]102.391139912087[/C][C]0.168273362618639[/C][C]-12.0464187334052[/C][C]0.0402262636628568[/C][/ROW]
[ROW][C]189[/C][C]111.8[/C][C]103.492515451839[/C][C]0.171955397450915[/C][C]7.47930680879454[/C][C]0.602549662640982[/C][/ROW]
[ROW][C]190[/C][C]110.5[/C][C]103.653007511479[/C][C]0.17191241463628[/C][C]6.8571719653462[/C][C]-0.00740482945413858[/C][/ROW]
[ROW][C]191[/C][C]106.8[/C][C]105.07407973682[/C][C]0.176401622263468[/C][C]0.616390987793688[/C][C]0.806989720878184[/C][/ROW]
[ROW][C]192[/C][C]101.8[/C][C]105.173832700949[/C][C]0.176132168913036[/C][C]-3.30575627199879[/C][C]-0.0495105134321975[/C][/ROW]
[ROW][C]193[/C][C]103.7[/C][C]105.42812270713[/C][C]0.176408279745328[/C][C]-1.79751374148927[/C][C]0.0504677313413581[/C][/ROW]
[ROW][C]194[/C][C]107.4[/C][C]107.250569355273[/C][C]0.182394258994415[/C][C]-1.31111508694639[/C][C]1.06236106485749[/C][/ROW]
[ROW][C]195[/C][C]117.5[/C][C]107.76917130588[/C][C]0.183668819513169[/C][C]9.43269566413622[/C][C]0.216889419048584[/C][/ROW]
[ROW][C]196[/C][C]109.6[/C][C]108.222294492314[/C][C]0.184731990227803[/C][C]1.13887584348299[/C][C]0.173776616222245[/C][/ROW]
[ROW][C]197[/C][C]102.8[/C][C]107.660523603106[/C][C]0.181705604379791[/C][C]-4.19895863907968[/C][C]-0.481427336870089[/C][/ROW]
[ROW][C]198[/C][C]115.5[/C][C]108.301506747755[/C][C]0.183582799040984[/C][C]6.79139082620614[/C][C]0.296265825522844[/C][/ROW]
[ROW][C]199[/C][C]97.8[/C][C]107.231710658363[/C][C]0.178520905180895[/C][C]-8.3202051825528[/C][C]-0.808853771982908[/C][/ROW]
[ROW][C]200[/C][C]100.2[/C][C]109.092906427016[/C][C]0.18511992531383[/C][C]-10.3859829502135[/C][C]1.08640089613772[/C][/ROW]
[ROW][C]201[/C][C]112.9[/C][C]108.210303707197[/C][C]0.181099894209155[/C][C]5.63763990530285[/C][C]-0.689643166685078[/C][/ROW]
[ROW][C]202[/C][C]108.7[/C][C]106.268954841393[/C][C]0.173449061059518[/C][C]4.3161844745355[/C][C]-1.37126145296349[/C][/ROW]
[ROW][C]203[/C][C]109[/C][C]106.901304228087[/C][C]0.175044917975426[/C][C]1.69102159262038[/C][C]0.29651075612272[/C][/ROW]
[ROW][C]204[/C][C]113.9[/C][C]110.654979238535[/C][C]0.187258876697775[/C][C]0.0660278013729481[/C][C]2.31202853649775[/C][/ROW]
[ROW][C]205[/C][C]106.9[/C][C]110.764303481307[/C][C]0.186991961953691[/C][C]-3.79509255186538[/C][C]-0.050336817245136[/C][/ROW]
[ROW][C]206[/C][C]109.6[/C][C]110.99892795637[/C][C]0.187158930706104[/C][C]-1.44120900071003[/C][C]0.0307534318318173[/C][/ROW]
[ROW][C]207[/C][C]124.5[/C][C]112.519990389851[/C][C]0.191996155451275[/C][C]10.7965536089155[/C][C]0.860907087476535[/C][/ROW]
[ROW][C]208[/C][C]104.2[/C][C]109.468019281819[/C][C]0.179835505313431[/C][C]-2.39097361064763[/C][C]-2.09319681005086[/C][/ROW]
[ROW][C]209[/C][C]110.8[/C][C]111.155447715044[/C][C]0.185617679648238[/C][C]-1.69236340206684[/C][C]0.972772530080223[/C][/ROW]
[ROW][C]210[/C][C]118.7[/C][C]111.539976675853[/C][C]0.186385939211368[/C][C]6.98360351483031[/C][C]0.128372113057727[/C][/ROW]
[ROW][C]211[/C][C]102.1[/C][C]111.487027459114[/C][C]0.185470933205832[/C][C]-9.17467629204783[/C][C]-0.154512229617719[/C][/ROW]
[ROW][C]212[/C][C]105.1[/C][C]112.712991226651[/C][C]0.189349978890397[/C][C]-8.53660860999857[/C][C]0.67198560966968[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=310549&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=310549&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 -- Interpolation
t	Observed	Level	Slope	Seasonal	Stand. Residuals
1	63.2	63.2	0	0	0
2	68.6	65.5781762819066	0.183879863210131	1.03931588791438	1.30680877938049
3	77.7	71.1688363907234	0.597109422653983	2.64290848096108	2.76253646172166
4	68.1	70.4648468439734	0.521827789162221	-1.28277816774081	-0.741405563685136
5	75.1	72.2840880320832	0.578928876999949	1.64567678466431	0.783846448341033
6	73.3	72.9338864843509	0.581462185473928	0.299749918288616	0.0439741982976354
7	60.5	68.2856736090029	0.41922597688384	-2.8004022756908	-3.28606724128737
8	65.9	66.9369143268289	0.369271354945268	0.663730241507895	-1.11795046837972
9	77.7	70.965306693078	0.466341911191449	3.19766732811585	2.32162618631585
10	67.7	70.2007480112209	0.435135017100184	-1.30749537301727	-0.782510566524362
11	67.7	69.2202411287478	0.400488691513471	-0.145357377480714	-0.901072183608708
12	67.7	68.5876957910236	0.375944187242136	0.116916235398305	-0.658108225303572
13	67.7	69.6593186087439	0.324942191745816	-2.72868568778089	0.558864770649573
14	67.7	69.4960693791966	0.315396608137128	-1.38388360862215	-0.290038955526583
15	67.7	67.8671255729728	0.247896036161563	1.34202027288262	-1.09796359658461
16	67.7	68.4912870402663	0.259845607225769	-1.10045429364845	0.223236932675838
17	67.7	67.8581038442963	0.236711707237318	0.614003424846976	-0.551020385545968
18	67.7	67.1981198661495	0.217638474631442	1.29884150730496	-0.564698416162168
19	67.7	68.3107115332179	0.234036935067668	-1.41693173582707	0.56913012958054
20	67.7	68.6021056186921	0.234989474740164	-0.954116307031367	0.0366465985046579
21	67.7	67.2347828467347	0.209959997382002	1.92298611535129	-1.02615262253777
22	67.7	67.6903517397458	0.213623616896709	-0.214238223683545	0.157498642133839
23	67.7	67.8555155193995	0.21296246176032	-0.111243294861582	-0.0311079621695008
24	67.7	67.9793827937947	0.212226317156771	-0.197368220055158	-0.0574091399620476
25	73.2	70.3454114547161	0.168567621902624	0.760346825361775	1.49488314866158
26	72.2	71.5663249051175	0.177814382401858	-0.292478118110326	0.661312695968394
27	79.3	74.2245124410363	0.230809434629451	3.03421425287965	1.48619864944224
28	77.5	76.118707017409	0.268492294201256	-0.00310996579352629	1.01079665125761
29	75.6	76.01452903096	0.261006754490415	-0.0954536444738249	-0.231846947521264
30	77.4	76.3149632653619	0.261680494729166	1.05056985960953	0.0249264675176476
31	69.2	74.4544681932054	0.230318150556002	-3.37691769000617	-1.35369600626157
32	67.1	71.8767416284052	0.19310579081851	-2.27638462576879	-1.79955832655715
33	77.9	73.0602045468001	0.205216256358425	3.95486725839309	0.636223422306467
34	82.7	76.6589186935615	0.24325355680712	3.00170982462711	2.18301578420709
35	75.7	77.0057327565152	0.244211228657538	-1.39875268204123	0.0666982357201333
36	70.1	75.3238609160706	0.23584783736123	-3.48156541634391	-1.24614154080882
37	76.4	75.7419841904911	0.234770109182339	0.489197087496764	0.121069016746304
38	74.3	75.9950841503058	0.234883476025786	-1.71130536690974	0.0116707679937321
39	80.5	76.9175433912508	0.245073084258384	2.99959179277097	0.424016051505478
40	78	77.4571880029928	0.250154437246649	0.29383928627539	0.181928124557847
41	73.5	76.1912149191355	0.225241695021501	-1.39043936063534	-0.949191382392376
42	78.8	76.2696744623989	0.223097577166697	2.65816818883475	-0.0930240190805553
43	71.2	75.4402770818366	0.209576355313532	-3.31403566887328	-0.672366469428871
44	66.2	73.3568348131646	0.183322761348281	-5.12612439518947	-1.47165229464859
45	82.7	75.5577299904564	0.204095272002068	5.34870461047512	1.29819237059593
46	83.8	77.6347979141703	0.220968432684583	4.49578449872933	1.20684876165631
47	75	77.3068476232408	0.217138258467218	-1.81622095221956	-0.354118732511763
48	80.4	79.7029462242705	0.224808440110582	-1.26044984596398	1.4106198009781
49	74.6	78.2552317806651	0.225503544505425	-2.13923786492335	-1.09222459685995
50	77.7	78.7281926944371	0.22686668264942	-1.2471700045383	0.158183651369065
51	89.8	81.6859168259869	0.257567135307463	5.76209638235083	1.71028402499788
52	82.4	82.0356400059972	0.258828891808336	0.285501139158594	0.0575709234746394
53	77	80.8614189075275	0.239132980817996	-2.62587712363775	-0.902154121364476
54	89.6	82.7091453482335	0.259565318618933	5.48925801015738	1.0218027923698
55	75.7	81.5235286039043	0.24310548140853	-4.55343727879631	-0.924280779483556
56	75.1	81.4669260198237	0.240066932164403	-6.10197534879158	-0.192520400105635
57	89.9	82.9078066789758	0.250806099333247	5.92657386159126	0.773316686891478
58	88.8	83.6640963157389	0.254645146073852	4.68613790625422	0.325985166815065
59	86.5	85.7600919620811	0.265334852948176	-0.902464132279465	1.1888023617934
60	90	87.8400138316393	0.271729815168603	0.536236298663138	1.17403743576021
61	84	87.8769311923095	0.271261780875025	-3.66629544293377	-0.152233894572706
62	82.7	87.1423618610066	0.265942229424009	-3.55285057353142	-0.644100598672602
63	91.7	86.7545419494879	0.259972812742253	5.51361114209628	-0.413129387817866
64	87.5	86.8264296970403	0.257857302091508	0.835972741098343	-0.118458710921307
65	82	86.3701720369511	0.249513259068039	-3.75137605802213	-0.451694163026773
66	92.2	86.3400745156735	0.246401145038028	6.10398520625032	-0.178013062709476
67	73.1	83.514601901929	0.215190358912763	-7.71467039831353	-1.96672632120985
68	75.6	82.9475331376074	0.208093298506926	-6.65638003387643	-0.502800188047844
69	91.6	84.1043885732131	0.215618023386745	6.65431249853964	0.611285111541024
70	87.5	84.2677456447759	0.215269865134207	3.27871221631359	-0.0337172163744378
71	90.1	86.9513359115175	0.228076451139856	0.949984844585748	1.59400706503586
72	91.3	88.572713572416	0.233225372363859	1.48385663162022	0.900754862170811
73	87.6	89.6188333361758	0.235767929534823	-2.74414603164995	0.525296966993017
74	88.4	90.5570622860507	0.239390057930168	-2.7780714227718	0.450369189267382
75	100.7	92.3205937756271	0.251262830290812	7.04755914968923	0.968579363271064
76	85.3	89.7696657370659	0.224607753302775	-2.03439503241417	-1.77523278743445
77	92	91.4794794345239	0.239577046981706	-0.772139384697053	0.943138872287748
78	96.8	91.0091114249592	0.232608717862527	6.41189701843005	-0.452940119578889
79	77.9	89.1761010629899	0.213812099734154	-9.45934720112129	-1.32383341478722
80	80.9	88.7257946550804	0.208381549650276	-7.23905199669093	-0.427078022705995
81	95.3	88.8887385054552	0.208056844685138	6.45153686413008	-0.0292838114487221
82	99.3	91.9072659148113	0.224979930913036	4.89588990846229	1.81359555336185
83	96.1	93.7396206598351	0.232764009274826	0.930030135281839	1.03804392891242
84	92.5	93.3434018916919	0.230341836179545	-0.283134997504621	-0.406364918356345
85	93.7	94.6493844314073	0.234297461201804	-1.90638600365346	0.694056562081428
86	92.1	95.1205539895943	0.235487491201226	-3.22995536555862	0.152018724444282
87	103.6	95.4144354667434	0.235888955314555	8.13435341798396	0.0372494751547125
88	92.5	95.4294571536674	0.234068945264604	-2.73660339640619	-0.140525840055431
89	95.7	95.6943230865762	0.234340333779121	-0.0212264876101877	0.0196200013444097
90	103.4	95.9555868262392	0.234574967608046	7.42081225164595	0.0172098456422591
91	89	96.9166572729747	0.240522054754348	-8.55621912537392	0.46605789313358
92	89.1	97.1118506003039	0.240185837562228	-7.9717946878242	-0.0291630498694891
93	98.7	96.1225978944556	0.232170309483688	3.66695837793162	-0.792519687644108
94	109.4	99.2323043721761	0.248162092792576	7.61241508111614	1.85705320018517
95	101.1	99.9836874213989	0.250489585316564	0.6688599937508	0.324958787008623
96	95.4	98.9423825825299	0.245387625318324	-2.39322134023739	-0.834207804446974
97	101.4	100.50104311943	0.250555358624771	-0.267639237630384	0.846862530187738
98	102.1	102.460689015383	0.258890912039238	-1.87188691029733	1.09784748578914
99	103.6	100.404434033513	0.244515122900126	5.2311090863123	-1.48081420628991
100	106	103.206162910383	0.263130485777275	0.553109629654615	1.63226426550288
101	98.4	102.040441591237	0.251983441880843	-2.38845482574397	-0.912677068180201
102	106.6	101.192916916228	0.243413219840029	6.37280666078489	-0.704010165305092
103	95.8	102.294969782397	0.249768881921072	-7.25162826611011	0.55133769858077
104	87.2	100.076070661849	0.233056808645382	-10.6937889143621	-1.58896151268915
105	108.5	102.040684216225	0.243457807646074	4.92483487507813	1.11640735097701
106	107	101.515848498521	0.239462036759734	6.16619324681085	-0.495858164398254
107	92	98.0214109385501	0.222788655279667	-2.70322150181699	-2.41101568152201
108	94.9	97.7668119155388	0.220883168369853	-2.44250727046103	-0.308201585016727
109	84.4	93.5450602333607	0.202952817687346	-5.20190281519598	-2.86429896383593
110	85	90.6243736882781	0.188211788940323	-2.86144235631445	-2.00814996468215
111	94	90.0279489241087	0.183741203811796	4.66324403040571	-0.502880710740754
112	84.5	87.6659460721162	0.167109026909904	-0.929274178597133	-1.62895014876222
113	88.2	88.3215233156931	0.170521285353156	-0.550588307015688	0.312673812476436
114	92.1	87.6116798357775	0.16433729462113	5.26292516129003	-0.56452234377308
115	81.1	87.5469289134357	0.16279526794248	-6.24484569647095	-0.147224839592342
116	81.2	89.2509945870128	0.172374865838674	-9.41406670393912	0.992471140336502
117	96.1	89.8272092751611	0.174627203642849	5.91488970406026	0.260422918724025
118	95.3	89.044494368512	0.169925678346961	7.10521419854067	-0.617909038107702
119	92.1	90.6371078760593	0.176085681020212	0.199100815045278	0.91860361343434
120	91.7	91.2065943099165	0.177654351597937	0.143943663841014	0.253947722045967
121	90.3	92.2588813818477	0.181195067231652	-2.73486912757598	0.563927006390537
122	96.1	94.5145239580095	0.190645385131271	-0.250212498571135	1.33463468048108
123	108.7	97.7426631344206	0.206702518142945	8.27756618447113	1.94979812924486
124	95.9	97.9506289756531	0.206710020887372	-2.05174125713688	0.000809919646724654
125	95.1	97.210145627605	0.200724185678479	-1.27645074782446	-0.607362907696016
126	109.4	99.657592279779	0.215053431851504	7.76253753809178	1.4425090397805
127	91.2	99.529357583789	0.212939730064716	-8.02624400885123	-0.220789497598992
128	91.4	100.127699577543	0.2151514987408	-9.06870829511606	0.248278104249023
129	107.4	100.720303516873	0.217118366540648	6.3451313656236	0.243456621502919
130	105.6	100.434011579728	0.214770292585113	5.61276421819778	-0.324948361046307
131	105.3	102.286247125351	0.221652988606519	1.55953131425416	1.05728169271032
132	103.7	103.347495507292	0.224968504706037	-0.393077120651814	0.54196484765902
133	99.5	103.701284346694	0.22548485403009	-4.31556005006108	0.0830719027226939
134	103.2	104.261579353787	0.226955038665356	-1.35799317226166	0.215551677899931
135	123.1	108.052712527897	0.244576943329687	11.8990147836019	2.29073376927059
136	102.2	107.271224443954	0.238980116677918	-4.16631325582266	-0.658818126379695
137	110	109.047887504191	0.247851484007393	-0.403588957469525	0.987405624469462
138	106.2	105.735688845281	0.227086573045688	3.60573405890777	-2.2882268565287
139	91.3	103.41960030588	0.212678616851176	-9.8720282474325	-1.6368416489863
140	99.3	105.030034144504	0.220124549766888	-6.9674085700589	0.900814884281666
141	111.8	105.478108005205	0.221239976803272	6.11980083609177	0.147059323206967
142	104.4	103.688487194132	0.212297729032845	2.49615855872313	-1.29813375009503
143	102.4	102.816319956014	0.207873712442586	0.546666721182238	-0.700250318689153
144	101	102.440164997046	0.205604313270657	-0.921611327717476	-0.377016562208671
145	100.6	103.552086963327	0.209172559008994	-3.75609734566816	0.584588907393553
146	104.5	105.051246107426	0.214627961514668	-1.69384166408338	0.831000653950467
147	117.4	105.312562071199	0.214845158145624	12.0461557994561	0.0300373952517041
148	97.4	104.200447501557	0.208140877956922	-5.62856130877103	-0.853069593368702
149	99.5	102.077357396583	0.195763169381248	-0.519145638586545	-1.49874053466918
150	106.4	101.86092303891	0.193549442777438	4.90322832701577	-0.265189461728653
151	95.2	103.200385115453	0.199556703575632	-9.01394132565601	0.738011796495829
152	94	102.599264740714	0.195577955011727	-7.89010212558403	-0.516220916971982
153	104.1	100.713450304601	0.185973456901671	5.23229433901728	-1.34309808679589
154	105.8	101.320472783856	0.1877632611665	4.10581681880148	0.271847587286531
155	101.1	101.189297956926	0.186501418597229	0.193906190550661	-0.205958668867547
156	93.5	99.1601235913774	0.178069292643438	-3.69290213751316	-1.43047674604465
157	97.9	100.033883757143	0.180745791077509	-2.7511234788681	0.448849173862411
158	96.8	99.5735989963662	0.178135812123119	-2.20554365399054	-0.413172752903223
159	108.4	98.1923399215946	0.171277920996222	11.5876991822706	-1.00410836636308
160	103.5	101.48512982616	0.18598783817971	-0.744996060005816	2.00877748269985
161	101.3	102.00364790379	0.187624226050391	-0.997579877467071	0.213993242402934
162	107.4	102.436316804237	0.188843578654984	4.74698180629468	0.157778639613022
163	100.7	104.83560135891	0.199623694179694	-6.09220174446716	1.42444177015247
164	91.1	102.894906921109	0.189657389912857	-9.898289792897	-1.38045591132936
165	105	101.749477435327	0.183827022864385	4.43478350154428	-0.861719152610792
166	112.8	103.924868542356	0.191934720712471	7.10725361963276	1.2860305016448
167	105.6	104.438689957275	0.193168826464835	0.87547399519267	0.207886434396949
168	101	104.769362490456	0.193679587375637	-3.89145429316499	0.088787730615824
169	101.9	104.769587308565	0.192954756856985	-2.69791476275845	-0.124848388857703
170	103.5	105.133051606734	0.193623134627546	-1.78421898554533	0.109954935504103
171	109.5	103.337780600238	0.185323345994349	7.92368610209309	-1.28158263183398
172	105	104.156990291365	0.188125731654596	0.282024184227484	0.408267376997389
173	102.9	104.353377271605	0.1881636448105	-1.4606868947658	0.0053207774484484
174	108.5	104.496742321057	0.187955916175188	4.04290957255692	-0.0288650565307274
175	96.9	103.75096018237	0.183698511626405	-6.02388598526899	-0.602032306761001
176	88.4	101.82363565774	0.174449185155076	-11.5520981966992	-1.36205500534743
177	112.4	104.117198429184	0.183234178102794	6.40253710841446	1.36808862206828
178	111.3	104.523296064015	0.18410436723871	6.57883886920225	0.143935155495353
179	101.6	103.384310158691	0.179191949292719	-0.60928222009586	-0.854618598799375
180	101.2	103.885475797666	0.180356434837079	-2.97139522745559	0.207937598713335
181	101.8	104.17357971597	0.180748721312989	-2.46921733326112	0.0695553606800936
182	98.8	102.802583970503	0.174891200264518	-2.6262693873988	-1.0011023350669
183	114.4	104.084983150001	0.17929042798849	9.3335034908316	0.714081105431853
184	104.5	104.326039184937	0.179547857880095	0.119253820974519	0.0398097153692419
185	97.6	102.583055157798	0.171274895425092	-3.2805279122281	-1.23910922914487
186	109.1	103.123058324458	0.172876410395569	5.65032310855609	0.237727888334989
187	94.5	102.160799866925	0.168015452249915	-6.65471486628779	-0.732231935481235
188	90.4	102.391139912087	0.168273362618639	-12.0464187334052	0.0402262636628568
189	111.8	103.492515451839	0.171955397450915	7.47930680879454	0.602549662640982
190	110.5	103.653007511479	0.17191241463628	6.8571719653462	-0.00740482945413858
191	106.8	105.07407973682	0.176401622263468	0.616390987793688	0.806989720878184
192	101.8	105.173832700949	0.176132168913036	-3.30575627199879	-0.0495105134321975
193	103.7	105.42812270713	0.176408279745328	-1.79751374148927	0.0504677313413581
194	107.4	107.250569355273	0.182394258994415	-1.31111508694639	1.06236106485749
195	117.5	107.76917130588	0.183668819513169	9.43269566413622	0.216889419048584
196	109.6	108.222294492314	0.184731990227803	1.13887584348299	0.173776616222245
197	102.8	107.660523603106	0.181705604379791	-4.19895863907968	-0.481427336870089
198	115.5	108.301506747755	0.183582799040984	6.79139082620614	0.296265825522844
199	97.8	107.231710658363	0.178520905180895	-8.3202051825528	-0.808853771982908
200	100.2	109.092906427016	0.18511992531383	-10.3859829502135	1.08640089613772
201	112.9	108.210303707197	0.181099894209155	5.63763990530285	-0.689643166685078
202	108.7	106.268954841393	0.173449061059518	4.3161844745355	-1.37126145296349
203	109	106.901304228087	0.175044917975426	1.69102159262038	0.29651075612272
204	113.9	110.654979238535	0.187258876697775	0.0660278013729481	2.31202853649775
205	106.9	110.764303481307	0.186991961953691	-3.79509255186538	-0.050336817245136
206	109.6	110.99892795637	0.187158930706104	-1.44120900071003	0.0307534318318173
207	124.5	112.519990389851	0.191996155451275	10.7965536089155	0.860907087476535
208	104.2	109.468019281819	0.179835505313431	-2.39097361064763	-2.09319681005086
209	110.8	111.155447715044	0.185617679648238	-1.69236340206684	0.972772530080223
210	118.7	111.539976675853	0.186385939211368	6.98360351483031	0.128372113057727
211	102.1	111.487027459114	0.185470933205832	-9.17467629204783	-0.154512229617719
212	105.1	112.712991226651	0.189349978890397	-8.53660860999857	0.67198560966968

Structural Time Series Model -- Extrapolation
t	Observed	Level	Seasonal
1	118.47717826118	112.93658734487	5.54059091630984
2	115.489082372261	113.150834319602	2.33824805265983
3	113.35985713492	113.365081294333	-0.00522415941371901
4	115.077626222251	113.579328269065	1.49829795318622
5	109.666381568174	113.793575243797	-4.12719367562297
6	112.617007336899	114.007822218529	-1.39081488162986
7	127.294799185175	114.222069193261	13.0727299919147
8	109.856230983307	114.436316167993	-4.58008518468557
9	113.51569676281	114.650563142724	-1.13486637991395
10	121.759044034043	114.864810117456	6.89423391658635
11	104.926245166358	115.079057092188	-10.1528119258303
12	107.340199443359	115.29330406692	-7.95310462356063

\begin{tabular}{lllllllll}
\hline
Structural Time Series Model -- Extrapolation \tabularnewline
t & Observed & Level & Seasonal \tabularnewline
1 & 118.47717826118 & 112.93658734487 & 5.54059091630984 \tabularnewline
2 & 115.489082372261 & 113.150834319602 & 2.33824805265983 \tabularnewline
3 & 113.35985713492 & 113.365081294333 & -0.00522415941371901 \tabularnewline
4 & 115.077626222251 & 113.579328269065 & 1.49829795318622 \tabularnewline
5 & 109.666381568174 & 113.793575243797 & -4.12719367562297 \tabularnewline
6 & 112.617007336899 & 114.007822218529 & -1.39081488162986 \tabularnewline
7 & 127.294799185175 & 114.222069193261 & 13.0727299919147 \tabularnewline
8 & 109.856230983307 & 114.436316167993 & -4.58008518468557 \tabularnewline
9 & 113.51569676281 & 114.650563142724 & -1.13486637991395 \tabularnewline
10 & 121.759044034043 & 114.864810117456 & 6.89423391658635 \tabularnewline
11 & 104.926245166358 & 115.079057092188 & -10.1528119258303 \tabularnewline
12 & 107.340199443359 & 115.29330406692 & -7.95310462356063 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=310549&T=2

[TABLE]
[ROW][C]Structural Time Series Model -- Extrapolation[/C][/ROW]
[ROW][C]t[/C][C]Observed[/C][C]Level[/C][C]Seasonal[/C][/ROW]
[ROW][C]1[/C][C]118.47717826118[/C][C]112.93658734487[/C][C]5.54059091630984[/C][/ROW]
[ROW][C]2[/C][C]115.489082372261[/C][C]113.150834319602[/C][C]2.33824805265983[/C][/ROW]
[ROW][C]3[/C][C]113.35985713492[/C][C]113.365081294333[/C][C]-0.00522415941371901[/C][/ROW]
[ROW][C]4[/C][C]115.077626222251[/C][C]113.579328269065[/C][C]1.49829795318622[/C][/ROW]
[ROW][C]5[/C][C]109.666381568174[/C][C]113.793575243797[/C][C]-4.12719367562297[/C][/ROW]
[ROW][C]6[/C][C]112.617007336899[/C][C]114.007822218529[/C][C]-1.39081488162986[/C][/ROW]
[ROW][C]7[/C][C]127.294799185175[/C][C]114.222069193261[/C][C]13.0727299919147[/C][/ROW]
[ROW][C]8[/C][C]109.856230983307[/C][C]114.436316167993[/C][C]-4.58008518468557[/C][/ROW]
[ROW][C]9[/C][C]113.51569676281[/C][C]114.650563142724[/C][C]-1.13486637991395[/C][/ROW]
[ROW][C]10[/C][C]121.759044034043[/C][C]114.864810117456[/C][C]6.89423391658635[/C][/ROW]
[ROW][C]11[/C][C]104.926245166358[/C][C]115.079057092188[/C][C]-10.1528119258303[/C][/ROW]
[ROW][C]12[/C][C]107.340199443359[/C][C]115.29330406692[/C][C]-7.95310462356063[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=310549&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=310549&T=2

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 -- Extrapolation
t	Observed	Level	Seasonal
1	118.47717826118	112.93658734487	5.54059091630984
2	115.489082372261	113.150834319602	2.33824805265983
3	113.35985713492	113.365081294333	-0.00522415941371901
4	115.077626222251	113.579328269065	1.49829795318622
5	109.666381568174	113.793575243797	-4.12719367562297
6	112.617007336899	114.007822218529	-1.39081488162986
7	127.294799185175	114.222069193261	13.0727299919147
8	109.856230983307	114.436316167993	-4.58008518468557
9	113.51569676281	114.650563142724	-1.13486637991395
10	121.759044034043	114.864810117456	6.89423391658635
11	104.926245166358	115.079057092188	-10.1528119258303
12	107.340199443359	115.29330406692	-7.95310462356063

Figure 1

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Figure 2

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Figure 3

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Figure 4

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Figure 5

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Figure 6

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Parameters (Session):

Parameters (R input):

par1 = 12 ; par2 = 12 ; par3 = BFGS ;

R code (references can be found in the software module):

require('stsm')
require('stsm.class')
require('KFKSDS')
par1 <- as.numeric(par1)
par2 <- as.numeric(par2)
nx <- length(x)
x <- ts(x,frequency=par1)
m <- StructTS(x,type='BSM')
print(m$coef)
print(m$fitted)
print(m$resid)
mylevel <- as.numeric(m$fitted[,'level'])
myslope <- as.numeric(m$fitted[,'slope'])
myseas <- as.numeric(m$fitted[,'sea'])
myresid <- as.numeric(m$resid)
myfit <- mylevel+myseas
mm <- stsm.model(model = 'BSM', y = x, transPars = 'StructTS')
fit2 <- stsmFit(mm, stsm.method = 'maxlik.td.optim', method = par3, KF.args = list(P0cov = TRUE))
(fit2.comps <- tsSmooth(fit2, P0cov = FALSE)$states)
m2 <- set.pars(mm, pmax(fit2$par, .Machine$double.eps))
(ss <- char2numeric(m2))
(pred <- predict(ss, x, n.ahead = par2))
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()
bitmap(file='test6.png')
par(mfrow = c(3,1), mar = c(3,3,3,3))
plot(cbind(x, pred$pred), type = 'n', plot.type = 'single', ylab = '')
lines(x)
polygon(c(time(pred$pred), rev(time(pred$pred))), c(pred$pred + 2 * pred$se, rev(pred$pred)), col = 'gray85', border = NA)
polygon(c(time(pred$pred), rev(time(pred$pred))), c(pred$pred - 2 * pred$se, rev(pred$pred)), col = ' gray85', border = NA)
lines(pred$pred, col = 'blue', lwd = 1.5)
mtext(text = 'forecasts of the observed series', side = 3, adj = 0)
plot(cbind(x, pred$a[,1]), type = 'n', plot.type = 'single', ylab = '')
lines(x)
polygon(c(time(pred$a[,1]), rev(time(pred$a[,1]))), c(pred$a[,1] + 2 * sqrt(pred$P[,1]), rev(pred$a[,1])), col = 'gray85', border = NA)
polygon(c(time(pred$a[,1]), rev(time(pred$a[,1]))), c(pred$a[,1] - 2 * sqrt(pred$P[,1]), rev(pred$a[,1])), col = ' gray85', border = NA)
lines(pred$a[,1], col = 'blue', lwd = 1.5)
mtext(text = 'forecasts of the level component', side = 3, adj = 0)
plot(cbind(fit2.comps[,3], pred$a[,3]), type = 'n', plot.type = 'single', ylab = '')
lines(fit2.comps[,3])
polygon(c(time(pred$a[,3]), rev(time(pred$a[,3]))), c(pred$a[,3] + 2 * sqrt(pred$P[,3]), rev(pred$a[,3])), col = 'gray85', border = NA)
polygon(c(time(pred$a[,3]), rev(time(pred$a[,3]))), c(pred$a[,3] - 2 * sqrt(pred$P[,3]), rev(pred$a[,3])), col = ' gray85', border = NA)
lines(pred$a[,3], col = 'blue', lwd = 1.5)
mtext(text = 'forecasts of the seasonal component', side = 3, adj = 0)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Structural Time Series Model -- Interpolation',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')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Structural Time Series Model -- Extrapolation',4,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,'Seasonal',header=TRUE)
a<-table.row.end(a)
for (i in 1:par2) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,pred$pred[i])
a<-table.element(a,pred$a[i,1])
a<-table.element(a,pred$a[i,3])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable1.tab')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code