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rwasp_structuraltimeseries.wasp

Title produced by software

Structural Time Series Models

Date of computation

Fri, 23 Nov 2012 07:38:27 -0500

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Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2012/Nov/23/t135367438571eauofwngoro7c.htm/, Retrieved Wed, 01 May 2024 14:30:25 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=192021, Retrieved Wed, 01 May 2024 14:30:25 +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)

F     [Univariate Data Series] [HPC Retail Sales] [2008-03-02 15:42:48] [74be16979710d4c4e7c6647856088456]
- RMPD  [Structural Time Series Models] [HPC Retail Sales] [2008-03-06 16:52:55] [74be16979710d4c4e7c6647856088456]
- R  D    [Structural Time Series Models] [HPC Retail Sales] [2008-03-08 11:33:35] [74be16979710d4c4e7c6647856088456]
- RM D        [Structural Time Series Models] [WS8 Structural Ti...] [2012-11-23 12:38:27] [7ac586d7aaad1f98cbd1d1bd98b37cf0] [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	5 seconds
R Server	'Gertrude Mary Cox' @ cox.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 5 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=192021&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]5 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=192021&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=192021&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	5 seconds
R Server	'Gertrude Mary Cox' @ cox.wessa.net

Structural Time Series Model
t	Observed	Level	Slope	Seasonal	Stand. Residuals
1	116	116	0	0	0
2	111	111.668981822357	-4.3863059309104	-0.668981822357159	-0.922790445071934
3	104	104.198552738389	-6.77087578138542	-0.198552738389066	-0.502711826049698
4	100	99.4426757157105	-5.15173394244713	0.557324284289508	0.318982775191517
5	93	93.2938961988775	-5.93831711032349	-0.293896198877505	-0.154135092787172
6	91	90.3855667173026	-3.54380150988262	0.614433282697359	0.470763372745402
7	119	114.101376748041	18.0245537724034	4.89862325195874	4.23649336460394
8	139	139.152912750404	23.584490148372	-0.1529127504039	1.0921402100003
9	134	138.814465801078	4.65877045263719	-4.81446580107769	-3.71755966240716
10	124	125.965508484259	-9.19102184550366	-1.96550848425864	-2.72049225840474
11	113	112.797852955695	-12.3368478745954	0.20214704430463	-0.617929816928427
12	109	107.481468478778	-6.78304179670887	1.51853152122217	1.09092551989976
13	109	108.002906973438	-1.01439390005116	0.997093026562097	1.13557299120698
14	106	106.595150449365	-1.32595551617307	-0.595150449365272	-0.0620658579236888
15	101	102.263414673106	-3.60267046158998	-1.26341467310577	-0.447915951168837
16	98	96.3063191237958	-5.40215311276102	1.69368087620423	-0.357251321398451
17	93	91.6973878525676	-4.79764784123053	1.3026121474324	0.118386643518399
18	91	94.8636819624375	1.2482050471159	-3.86368196243752	1.18762219268143
19	122	116.677986281069	16.8836512856056	5.32201371893059	3.07220421882654
20	139	135.75827076787	18.5544558084431	3.24172923213016	0.328180287773196
21	140	143.614663579386	10.4173764453161	-3.61466357938585	-1.59835582746329
22	132	135.91186989298	-3.36443323688275	-3.91186989297979	-2.70718974040667
23	117	119.773477097192	-13.0789712291495	-2.77347709719224	-1.90821951556777
24	114	112.372159306758	-8.76393616063604	1.62784069324164	0.847714523801509
25	113	110.758049868535	-3.33109917901626	2.24195013146513	1.06981673946451
26	110	109.698623318567	-1.6028115105791	0.301376681432715	0.339953437696777
27	107	107.362511333818	-2.153637583175	-0.362511333817577	-0.108122119931406
28	103	100.936280711927	-5.36760574685786	2.06371928807291	-0.634848757757898
29	98	97.1591178577605	-4.16896631835577	0.840882142239487	0.235286427751173
30	98	104.950191980465	4.81353491926933	-6.95019198046501	1.76286940398819
31	137	129.952897645754	19.9794205978504	7.04710235424594	2.97999288042936
32	148	145.152679474276	16.3861924754173	2.84732052572442	-0.705837413297589
33	147	149.035333417576	6.984835592483	-2.03533341757629	-1.84665566716186
34	139	141.941640961096	-3.60023141290581	-2.94164096109606	-2.07931668518711
35	130	134.238986326755	-6.6836395684299	-4.2389863267553	-0.605658830593732
36	128	127.883964858503	-6.43680687277999	0.116035141497281	0.0485056634660202
37	127	124.772134393666	-3.93796173254443	2.22786560633377	0.491704165202932
38	123	122.098899489018	-2.98784833429006	0.901100510982396	0.186591207641846
39	118	116.698180962136	-4.78988435616686	1.30181903786426	-0.353801346921009
40	114	111.014512177082	-5.45760085153084	2.9854878229177	-0.1315491943632
41	108	109.116386184589	-2.79294360866344	-1.11638618458895	0.52354212682521
42	111	121.106138879477	8.25113655098098	-10.1061388794774	2.16737822004457
43	151	141.818358431677	17.5555557775644	9.18164156832286	1.82781293215205
44	159	154.90582217349	14.2170486252981	4.09417782650972	-0.655839644879928
45	158	158.676618083203	6.40946026388436	-0.67661808320261	-1.53360197168675
46	148	152.250322839844	-3.18356435945104	-4.25032283984407	-1.88440472668607
47	138	143.243583020318	-7.5339161401457	-5.24358302031809	-0.854539698107235
48	137	137.424377527589	-6.2533527485641	-0.424377527588566	0.251673028194599
49	136	133.597053347822	-4.44050000689909	2.4029466521784	0.356474903503894
50	133	130.603932979673	-3.35980697064865	2.39606702032668	0.212189533547501
51	126	123.900035495323	-5.84824864617235	2.09996450467655	-0.488657586273675
52	120	116.987025756253	-6.64064516984297	3.01297424374675	-0.155924401762449
53	114	117.481137935397	-1.32235723897958	-3.48113793539719	1.04516610787474
54	116	127.982063681398	7.48161452716207	-11.9820636813977	1.72814755341902
55	153	142.54884864655	12.7534575497191	10.4511513534502	1.03541919010366
56	162	155.887381862644	13.188978743699	6.11261813735553	0.0855556042098166
57	161	160.278381780826	6.63766978046426	0.721618219174415	-1.28685564835649
58	149	154.11004799632	-2.89785525420011	-5.11004799631963	-1.87306253377411
59	139	145.670675804883	-7.02281662725523	-6.67067580488303	-0.810306496515839
60	135	136.613439174825	-8.53702713199738	-1.61343917482453	-0.297583381952908
61	130	127.890127917652	-8.67573968083289	2.10987208234774	-0.0272640077347629
62	127	122.376795667467	-6.32285723535792	4.62320433253307	0.461983751103026
63	122	118.163535923904	-4.75671277129608	3.83646407609575	0.307578025466546
64	117	114.767059083871	-3.74684271716535	2.23294091612863	0.198595226554411
65	112	117.227606356021	0.867284781546461	-5.22760635602119	0.906800819987983
66	113	126.032170074226	6.7644019911275	-13.0321700742262	1.15781667684775
67	149	138.665022903038	11.1213416887822	10.3349770969623	0.855637782343151
68	157	149.472353852792	10.8881670922325	7.52764614720849	-0.0458035444087236
69	157	154.460978586896	6.50601678320439	2.53902141310416	-0.860784794551214
70	147	152.402483346708	0.144379036266272	-5.40248334670775	-1.24961501329782
71	137	144.550640965398	-5.79388247258691	-7.55064096539802	-1.16656539365161
72	132	134.21488369182	-9.16699185926512	-2.21488369181959	-0.662857185438534
73	125	123.642907185388	-10.2107407792962	1.3570928146117	-0.20509375472867
74	123	117.48146990051	-7.20481467494139	5.51853009949036	0.59023650402839
75	117	112.35925094724	-5.66118113722113	4.64074905275952	0.30317582752219
76	114	111.769184832609	-1.90233375387528	2.23081516739083	0.738937494283737
77	111	116.899085867666	3.31500147026362	-5.89908586766557	1.02530957832561
78	112	125.982708279111	7.59401548941428	-13.9827082791109	0.840268949391014
79	144	134.275411624125	8.11197010530553	9.72458837587456	0.101715176601106
80	150	141.812487869794	7.68578844600965	8.18751213020552	-0.0837124408433707
81	149	145.556991371244	4.76338218358505	3.44300862875593	-0.574051649023906
82	134	139.586234483108	-3.19596487993731	-5.58623448310755	-1.56348385226924
83	123	130.279492654092	-7.72662748942206	-7.27949265409196	-0.890076129129111
84	116	118.354040072775	-10.8401207593399	-2.35404007277548	-0.611791487500742
85	117	114.738891876815	-5.48174032496482	2.26110812318484	1.05273269070731
86	111	106.100466342558	-7.82132845103417	4.89953365744162	-0.459417966504263
87	105	100.508831252997	-6.17061256954932	4.49116874700338	0.324219456140767
88	102	100.250044104557	-1.79379765880787	1.74995589544336	0.860242572332444
89	95	101.913496536226	0.767640185716855	-6.91349653622648	0.50334994922683
90	93	106.828774221635	3.8404739757286	-13.8287742216348	0.60348448728911
91	124	114.254299584523	6.49518653425088	9.745700415477	0.521330708977514
92	130	121.355023684023	6.94352629527922	8.64497631597741	0.0880611029878773
93	124	119.715453653162	0.5878178286147	4.28454634683793	-1.24846148174469
94	115	118.99983720099	-0.377395925875614	-3.99983720098994	-0.189605918275065
95	106	113.276204089426	-4.33631397534497	-7.27620408942577	-0.777773364042293
96	105	108.988888801451	-4.30002434838903	-3.98888880145059	0.0071303179659054
97	105	102.033559975163	-6.26678294706232	2.96644002483682	-0.386359118464176
98	101	96.0937078706447	-6.02477085096867	4.90629212935526	0.0475250758002223
99	95	91.3850877664322	-5.05130526922852	3.61491223356779	0.191204353327684
100	93	90.9756440821235	-1.61797470702412	2.02435591787652	0.674716202503714
101	84	91.6528013674932	0.0806042659233601	-7.65280136749317	0.333774791115089
102	87	100.480661589252	6.55459574071369	-13.4806615892518	1.27155466645138
103	116	106.933922746295	6.47962683447573	9.06607725370487	-0.0147226305822099
104	120	110.030384269988	3.97723272742548	9.96961573001191	-0.491495291745647
105	117	112.789607517344	3.07628689010213	4.21039248265643	-0.176973912865141
106	109	112.480005601542	0.571683555666467	-3.48000560154249	-0.492016449795495
107	105	112.42240239779	0.106163453127896	-7.42240239778996	-0.0914581572786483
108	107	110.54159368288	-1.36396793943742	-3.54159368287984	-0.288841398079474
109	109	106.286430321102	-3.50317483950344	2.71356967889766	-0.420208700659385
110	109	103.779280793724	-2.76659776493381	5.22071920627648	0.144649711486962
111	108	104.493288915977	-0.194344981558237	3.5067110840228	0.505239989961429
112	107	105.295547558353	0.54218347581913	1.70445244164709	0.144729501255885
113	99	108.55240087765	2.54940115422997	-9.5524008776501	0.394408789247114
114	103	115.773872732687	6.00424741560591	-12.7738727326866	0.678603184583329
115	131	121.403505980552	5.7273252894764	9.59649401944765	-0.0543841286721832
116	137	126.895198799996	5.5531862082883	10.1048012000043	-0.034201974498225
117	135	130.487276271375	4.10392356554873	4.51272372862491	-0.284679628157341
118	124	128.621146839535	-0.308157247592369	-4.62114683953524	-0.866750934563273
119	118	125.359599982027	-2.49104292932079	-7.35959998202709	-0.428863999887222
120	121	123.473607891221	-2.04376605595264	-2.47360789122128	0.0878743201042735
121	121	118.866607911598	-3.93856995623273	2.1333920884021	-0.372185068067329
122	118	113.599241744717	-4.9203850061828	4.40075825528262	-0.192814571879995
123	113	109.311491717862	-4.4531996958564	3.68850828213841	0.0917651869388464
124	107	105.754693555258	-3.79121650174363	1.2453064447419	0.130073321621217
125	100	109.410785686241	1.71079865699777	-9.41078568624076	1.08108727540161
126	102	114.385918642088	4.12275260536129	-12.3859186420881	0.473775312335004
127	130	120.336426645489	5.47286652462581	9.66357335451064	0.265151990689908
128	136	125.67515874293	5.37381338392005	10.3248412570698	-0.0194544035347695
129	133	127.695109475329	2.89733834247793	5.30489052467087	-0.486454001315816
130	120	125.051672694779	-1.19412987584461	-5.05167269477936	-0.803780656874503
131	112	120.282853141814	-3.83414636393013	-8.28285314181414	-0.518677739610615
132	109	111.675630265227	-7.35979162276702	-2.67563026522712	-0.692644977330962
133	110	106.759517631361	-5.55485332779613	3.24048236863884	0.35452428693034
134	106	101.347692314774	-5.44925594718352	4.65230768522558	0.0207382440583804
135	102	97.7732165707994	-4.06573562408298	4.22678342920057	0.271755040028784
136	98	97.7701915421593	-1.06754192685055	0.229808457840695	0.589090578414668
137	92	101.451529616734	2.43827243958471	-9.45152961673362	0.688837545104272
138	92	104.987810337353	3.24897206592366	-12.9878103373528	0.159248052623571
139	120	110.305918143328	4.77632563553341	9.69408185667213	0.299966607739373
140	127	116.029667507962	5.4754667186313	10.9703324920384	0.137313035204549
141	124	118.162394353547	3.00904687375619	5.83760564645269	-0.48447729889588
142	114	118.554775833821	1.07827104941886	-4.55477583382082	-0.379310751294796
143	108	115.688876974344	-1.83250197629166	-7.68887697434434	-0.571873483502017
144	106	109.857099407526	-4.78440928939765	-3.85709940752635	-0.57991536161457
145	111	107.056475133655	-3.32026127178157	3.94352486634499	0.287582080740591
146	110	105.273442302989	-2.18614398912893	4.72655769701071	0.222732667290928
147	104	101.016526318447	-3.71329957113244	2.98347368155293	-0.299969913802391
148	100	100.239614267556	-1.54772477452549	-0.23961426755642	0.425482301038726
149	96	104.655408235938	2.85172005490339	-8.65540823593764	0.864403037790256
150	98	111.130573082673	5.52518898929027	-13.1305730826734	0.525165571599378
151	122	113.454350318302	3.16359399081975	8.54564968169785	-0.463816641992723
152	134	121.440100940525	6.719691965745	12.5598990594745	0.698424944619927
153	133	127.048039743979	5.89995717570374	5.95196025602095	-0.161019539357333

\begin{tabular}{lllllllll}
\hline
Structural Time Series Model \tabularnewline
t & Observed & Level & Slope & Seasonal & Stand. Residuals \tabularnewline
1 & 116 & 116 & 0 & 0 & 0 \tabularnewline
2 & 111 & 111.668981822357 & -4.3863059309104 & -0.668981822357159 & -0.922790445071934 \tabularnewline
3 & 104 & 104.198552738389 & -6.77087578138542 & -0.198552738389066 & -0.502711826049698 \tabularnewline
4 & 100 & 99.4426757157105 & -5.15173394244713 & 0.557324284289508 & 0.318982775191517 \tabularnewline
5 & 93 & 93.2938961988775 & -5.93831711032349 & -0.293896198877505 & -0.154135092787172 \tabularnewline
6 & 91 & 90.3855667173026 & -3.54380150988262 & 0.614433282697359 & 0.470763372745402 \tabularnewline
7 & 119 & 114.101376748041 & 18.0245537724034 & 4.89862325195874 & 4.23649336460394 \tabularnewline
8 & 139 & 139.152912750404 & 23.584490148372 & -0.1529127504039 & 1.0921402100003 \tabularnewline
9 & 134 & 138.814465801078 & 4.65877045263719 & -4.81446580107769 & -3.71755966240716 \tabularnewline
10 & 124 & 125.965508484259 & -9.19102184550366 & -1.96550848425864 & -2.72049225840474 \tabularnewline
11 & 113 & 112.797852955695 & -12.3368478745954 & 0.20214704430463 & -0.617929816928427 \tabularnewline
12 & 109 & 107.481468478778 & -6.78304179670887 & 1.51853152122217 & 1.09092551989976 \tabularnewline
13 & 109 & 108.002906973438 & -1.01439390005116 & 0.997093026562097 & 1.13557299120698 \tabularnewline
14 & 106 & 106.595150449365 & -1.32595551617307 & -0.595150449365272 & -0.0620658579236888 \tabularnewline
15 & 101 & 102.263414673106 & -3.60267046158998 & -1.26341467310577 & -0.447915951168837 \tabularnewline
16 & 98 & 96.3063191237958 & -5.40215311276102 & 1.69368087620423 & -0.357251321398451 \tabularnewline
17 & 93 & 91.6973878525676 & -4.79764784123053 & 1.3026121474324 & 0.118386643518399 \tabularnewline
18 & 91 & 94.8636819624375 & 1.2482050471159 & -3.86368196243752 & 1.18762219268143 \tabularnewline
19 & 122 & 116.677986281069 & 16.8836512856056 & 5.32201371893059 & 3.07220421882654 \tabularnewline
20 & 139 & 135.75827076787 & 18.5544558084431 & 3.24172923213016 & 0.328180287773196 \tabularnewline
21 & 140 & 143.614663579386 & 10.4173764453161 & -3.61466357938585 & -1.59835582746329 \tabularnewline
22 & 132 & 135.91186989298 & -3.36443323688275 & -3.91186989297979 & -2.70718974040667 \tabularnewline
23 & 117 & 119.773477097192 & -13.0789712291495 & -2.77347709719224 & -1.90821951556777 \tabularnewline
24 & 114 & 112.372159306758 & -8.76393616063604 & 1.62784069324164 & 0.847714523801509 \tabularnewline
25 & 113 & 110.758049868535 & -3.33109917901626 & 2.24195013146513 & 1.06981673946451 \tabularnewline
26 & 110 & 109.698623318567 & -1.6028115105791 & 0.301376681432715 & 0.339953437696777 \tabularnewline
27 & 107 & 107.362511333818 & -2.153637583175 & -0.362511333817577 & -0.108122119931406 \tabularnewline
28 & 103 & 100.936280711927 & -5.36760574685786 & 2.06371928807291 & -0.634848757757898 \tabularnewline
29 & 98 & 97.1591178577605 & -4.16896631835577 & 0.840882142239487 & 0.235286427751173 \tabularnewline
30 & 98 & 104.950191980465 & 4.81353491926933 & -6.95019198046501 & 1.76286940398819 \tabularnewline
31 & 137 & 129.952897645754 & 19.9794205978504 & 7.04710235424594 & 2.97999288042936 \tabularnewline
32 & 148 & 145.152679474276 & 16.3861924754173 & 2.84732052572442 & -0.705837413297589 \tabularnewline
33 & 147 & 149.035333417576 & 6.984835592483 & -2.03533341757629 & -1.84665566716186 \tabularnewline
34 & 139 & 141.941640961096 & -3.60023141290581 & -2.94164096109606 & -2.07931668518711 \tabularnewline
35 & 130 & 134.238986326755 & -6.6836395684299 & -4.2389863267553 & -0.605658830593732 \tabularnewline
36 & 128 & 127.883964858503 & -6.43680687277999 & 0.116035141497281 & 0.0485056634660202 \tabularnewline
37 & 127 & 124.772134393666 & -3.93796173254443 & 2.22786560633377 & 0.491704165202932 \tabularnewline
38 & 123 & 122.098899489018 & -2.98784833429006 & 0.901100510982396 & 0.186591207641846 \tabularnewline
39 & 118 & 116.698180962136 & -4.78988435616686 & 1.30181903786426 & -0.353801346921009 \tabularnewline
40 & 114 & 111.014512177082 & -5.45760085153084 & 2.9854878229177 & -0.1315491943632 \tabularnewline
41 & 108 & 109.116386184589 & -2.79294360866344 & -1.11638618458895 & 0.52354212682521 \tabularnewline
42 & 111 & 121.106138879477 & 8.25113655098098 & -10.1061388794774 & 2.16737822004457 \tabularnewline
43 & 151 & 141.818358431677 & 17.5555557775644 & 9.18164156832286 & 1.82781293215205 \tabularnewline
44 & 159 & 154.90582217349 & 14.2170486252981 & 4.09417782650972 & -0.655839644879928 \tabularnewline
45 & 158 & 158.676618083203 & 6.40946026388436 & -0.67661808320261 & -1.53360197168675 \tabularnewline
46 & 148 & 152.250322839844 & -3.18356435945104 & -4.25032283984407 & -1.88440472668607 \tabularnewline
47 & 138 & 143.243583020318 & -7.5339161401457 & -5.24358302031809 & -0.854539698107235 \tabularnewline
48 & 137 & 137.424377527589 & -6.2533527485641 & -0.424377527588566 & 0.251673028194599 \tabularnewline
49 & 136 & 133.597053347822 & -4.44050000689909 & 2.4029466521784 & 0.356474903503894 \tabularnewline
50 & 133 & 130.603932979673 & -3.35980697064865 & 2.39606702032668 & 0.212189533547501 \tabularnewline
51 & 126 & 123.900035495323 & -5.84824864617235 & 2.09996450467655 & -0.488657586273675 \tabularnewline
52 & 120 & 116.987025756253 & -6.64064516984297 & 3.01297424374675 & -0.155924401762449 \tabularnewline
53 & 114 & 117.481137935397 & -1.32235723897958 & -3.48113793539719 & 1.04516610787474 \tabularnewline
54 & 116 & 127.982063681398 & 7.48161452716207 & -11.9820636813977 & 1.72814755341902 \tabularnewline
55 & 153 & 142.54884864655 & 12.7534575497191 & 10.4511513534502 & 1.03541919010366 \tabularnewline
56 & 162 & 155.887381862644 & 13.188978743699 & 6.11261813735553 & 0.0855556042098166 \tabularnewline
57 & 161 & 160.278381780826 & 6.63766978046426 & 0.721618219174415 & -1.28685564835649 \tabularnewline
58 & 149 & 154.11004799632 & -2.89785525420011 & -5.11004799631963 & -1.87306253377411 \tabularnewline
59 & 139 & 145.670675804883 & -7.02281662725523 & -6.67067580488303 & -0.810306496515839 \tabularnewline
60 & 135 & 136.613439174825 & -8.53702713199738 & -1.61343917482453 & -0.297583381952908 \tabularnewline
61 & 130 & 127.890127917652 & -8.67573968083289 & 2.10987208234774 & -0.0272640077347629 \tabularnewline
62 & 127 & 122.376795667467 & -6.32285723535792 & 4.62320433253307 & 0.461983751103026 \tabularnewline
63 & 122 & 118.163535923904 & -4.75671277129608 & 3.83646407609575 & 0.307578025466546 \tabularnewline
64 & 117 & 114.767059083871 & -3.74684271716535 & 2.23294091612863 & 0.198595226554411 \tabularnewline
65 & 112 & 117.227606356021 & 0.867284781546461 & -5.22760635602119 & 0.906800819987983 \tabularnewline
66 & 113 & 126.032170074226 & 6.7644019911275 & -13.0321700742262 & 1.15781667684775 \tabularnewline
67 & 149 & 138.665022903038 & 11.1213416887822 & 10.3349770969623 & 0.855637782343151 \tabularnewline
68 & 157 & 149.472353852792 & 10.8881670922325 & 7.52764614720849 & -0.0458035444087236 \tabularnewline
69 & 157 & 154.460978586896 & 6.50601678320439 & 2.53902141310416 & -0.860784794551214 \tabularnewline
70 & 147 & 152.402483346708 & 0.144379036266272 & -5.40248334670775 & -1.24961501329782 \tabularnewline
71 & 137 & 144.550640965398 & -5.79388247258691 & -7.55064096539802 & -1.16656539365161 \tabularnewline
72 & 132 & 134.21488369182 & -9.16699185926512 & -2.21488369181959 & -0.662857185438534 \tabularnewline
73 & 125 & 123.642907185388 & -10.2107407792962 & 1.3570928146117 & -0.20509375472867 \tabularnewline
74 & 123 & 117.48146990051 & -7.20481467494139 & 5.51853009949036 & 0.59023650402839 \tabularnewline
75 & 117 & 112.35925094724 & -5.66118113722113 & 4.64074905275952 & 0.30317582752219 \tabularnewline
76 & 114 & 111.769184832609 & -1.90233375387528 & 2.23081516739083 & 0.738937494283737 \tabularnewline
77 & 111 & 116.899085867666 & 3.31500147026362 & -5.89908586766557 & 1.02530957832561 \tabularnewline
78 & 112 & 125.982708279111 & 7.59401548941428 & -13.9827082791109 & 0.840268949391014 \tabularnewline
79 & 144 & 134.275411624125 & 8.11197010530553 & 9.72458837587456 & 0.101715176601106 \tabularnewline
80 & 150 & 141.812487869794 & 7.68578844600965 & 8.18751213020552 & -0.0837124408433707 \tabularnewline
81 & 149 & 145.556991371244 & 4.76338218358505 & 3.44300862875593 & -0.574051649023906 \tabularnewline
82 & 134 & 139.586234483108 & -3.19596487993731 & -5.58623448310755 & -1.56348385226924 \tabularnewline
83 & 123 & 130.279492654092 & -7.72662748942206 & -7.27949265409196 & -0.890076129129111 \tabularnewline
84 & 116 & 118.354040072775 & -10.8401207593399 & -2.35404007277548 & -0.611791487500742 \tabularnewline
85 & 117 & 114.738891876815 & -5.48174032496482 & 2.26110812318484 & 1.05273269070731 \tabularnewline
86 & 111 & 106.100466342558 & -7.82132845103417 & 4.89953365744162 & -0.459417966504263 \tabularnewline
87 & 105 & 100.508831252997 & -6.17061256954932 & 4.49116874700338 & 0.324219456140767 \tabularnewline
88 & 102 & 100.250044104557 & -1.79379765880787 & 1.74995589544336 & 0.860242572332444 \tabularnewline
89 & 95 & 101.913496536226 & 0.767640185716855 & -6.91349653622648 & 0.50334994922683 \tabularnewline
90 & 93 & 106.828774221635 & 3.8404739757286 & -13.8287742216348 & 0.60348448728911 \tabularnewline
91 & 124 & 114.254299584523 & 6.49518653425088 & 9.745700415477 & 0.521330708977514 \tabularnewline
92 & 130 & 121.355023684023 & 6.94352629527922 & 8.64497631597741 & 0.0880611029878773 \tabularnewline
93 & 124 & 119.715453653162 & 0.5878178286147 & 4.28454634683793 & -1.24846148174469 \tabularnewline
94 & 115 & 118.99983720099 & -0.377395925875614 & -3.99983720098994 & -0.189605918275065 \tabularnewline
95 & 106 & 113.276204089426 & -4.33631397534497 & -7.27620408942577 & -0.777773364042293 \tabularnewline
96 & 105 & 108.988888801451 & -4.30002434838903 & -3.98888880145059 & 0.0071303179659054 \tabularnewline
97 & 105 & 102.033559975163 & -6.26678294706232 & 2.96644002483682 & -0.386359118464176 \tabularnewline
98 & 101 & 96.0937078706447 & -6.02477085096867 & 4.90629212935526 & 0.0475250758002223 \tabularnewline
99 & 95 & 91.3850877664322 & -5.05130526922852 & 3.61491223356779 & 0.191204353327684 \tabularnewline
100 & 93 & 90.9756440821235 & -1.61797470702412 & 2.02435591787652 & 0.674716202503714 \tabularnewline
101 & 84 & 91.6528013674932 & 0.0806042659233601 & -7.65280136749317 & 0.333774791115089 \tabularnewline
102 & 87 & 100.480661589252 & 6.55459574071369 & -13.4806615892518 & 1.27155466645138 \tabularnewline
103 & 116 & 106.933922746295 & 6.47962683447573 & 9.06607725370487 & -0.0147226305822099 \tabularnewline
104 & 120 & 110.030384269988 & 3.97723272742548 & 9.96961573001191 & -0.491495291745647 \tabularnewline
105 & 117 & 112.789607517344 & 3.07628689010213 & 4.21039248265643 & -0.176973912865141 \tabularnewline
106 & 109 & 112.480005601542 & 0.571683555666467 & -3.48000560154249 & -0.492016449795495 \tabularnewline
107 & 105 & 112.42240239779 & 0.106163453127896 & -7.42240239778996 & -0.0914581572786483 \tabularnewline
108 & 107 & 110.54159368288 & -1.36396793943742 & -3.54159368287984 & -0.288841398079474 \tabularnewline
109 & 109 & 106.286430321102 & -3.50317483950344 & 2.71356967889766 & -0.420208700659385 \tabularnewline
110 & 109 & 103.779280793724 & -2.76659776493381 & 5.22071920627648 & 0.144649711486962 \tabularnewline
111 & 108 & 104.493288915977 & -0.194344981558237 & 3.5067110840228 & 0.505239989961429 \tabularnewline
112 & 107 & 105.295547558353 & 0.54218347581913 & 1.70445244164709 & 0.144729501255885 \tabularnewline
113 & 99 & 108.55240087765 & 2.54940115422997 & -9.5524008776501 & 0.394408789247114 \tabularnewline
114 & 103 & 115.773872732687 & 6.00424741560591 & -12.7738727326866 & 0.678603184583329 \tabularnewline
115 & 131 & 121.403505980552 & 5.7273252894764 & 9.59649401944765 & -0.0543841286721832 \tabularnewline
116 & 137 & 126.895198799996 & 5.5531862082883 & 10.1048012000043 & -0.034201974498225 \tabularnewline
117 & 135 & 130.487276271375 & 4.10392356554873 & 4.51272372862491 & -0.284679628157341 \tabularnewline
118 & 124 & 128.621146839535 & -0.308157247592369 & -4.62114683953524 & -0.866750934563273 \tabularnewline
119 & 118 & 125.359599982027 & -2.49104292932079 & -7.35959998202709 & -0.428863999887222 \tabularnewline
120 & 121 & 123.473607891221 & -2.04376605595264 & -2.47360789122128 & 0.0878743201042735 \tabularnewline
121 & 121 & 118.866607911598 & -3.93856995623273 & 2.1333920884021 & -0.372185068067329 \tabularnewline
122 & 118 & 113.599241744717 & -4.9203850061828 & 4.40075825528262 & -0.192814571879995 \tabularnewline
123 & 113 & 109.311491717862 & -4.4531996958564 & 3.68850828213841 & 0.0917651869388464 \tabularnewline
124 & 107 & 105.754693555258 & -3.79121650174363 & 1.2453064447419 & 0.130073321621217 \tabularnewline
125 & 100 & 109.410785686241 & 1.71079865699777 & -9.41078568624076 & 1.08108727540161 \tabularnewline
126 & 102 & 114.385918642088 & 4.12275260536129 & -12.3859186420881 & 0.473775312335004 \tabularnewline
127 & 130 & 120.336426645489 & 5.47286652462581 & 9.66357335451064 & 0.265151990689908 \tabularnewline
128 & 136 & 125.67515874293 & 5.37381338392005 & 10.3248412570698 & -0.0194544035347695 \tabularnewline
129 & 133 & 127.695109475329 & 2.89733834247793 & 5.30489052467087 & -0.486454001315816 \tabularnewline
130 & 120 & 125.051672694779 & -1.19412987584461 & -5.05167269477936 & -0.803780656874503 \tabularnewline
131 & 112 & 120.282853141814 & -3.83414636393013 & -8.28285314181414 & -0.518677739610615 \tabularnewline
132 & 109 & 111.675630265227 & -7.35979162276702 & -2.67563026522712 & -0.692644977330962 \tabularnewline
133 & 110 & 106.759517631361 & -5.55485332779613 & 3.24048236863884 & 0.35452428693034 \tabularnewline
134 & 106 & 101.347692314774 & -5.44925594718352 & 4.65230768522558 & 0.0207382440583804 \tabularnewline
135 & 102 & 97.7732165707994 & -4.06573562408298 & 4.22678342920057 & 0.271755040028784 \tabularnewline
136 & 98 & 97.7701915421593 & -1.06754192685055 & 0.229808457840695 & 0.589090578414668 \tabularnewline
137 & 92 & 101.451529616734 & 2.43827243958471 & -9.45152961673362 & 0.688837545104272 \tabularnewline
138 & 92 & 104.987810337353 & 3.24897206592366 & -12.9878103373528 & 0.159248052623571 \tabularnewline
139 & 120 & 110.305918143328 & 4.77632563553341 & 9.69408185667213 & 0.299966607739373 \tabularnewline
140 & 127 & 116.029667507962 & 5.4754667186313 & 10.9703324920384 & 0.137313035204549 \tabularnewline
141 & 124 & 118.162394353547 & 3.00904687375619 & 5.83760564645269 & -0.48447729889588 \tabularnewline
142 & 114 & 118.554775833821 & 1.07827104941886 & -4.55477583382082 & -0.379310751294796 \tabularnewline
143 & 108 & 115.688876974344 & -1.83250197629166 & -7.68887697434434 & -0.571873483502017 \tabularnewline
144 & 106 & 109.857099407526 & -4.78440928939765 & -3.85709940752635 & -0.57991536161457 \tabularnewline
145 & 111 & 107.056475133655 & -3.32026127178157 & 3.94352486634499 & 0.287582080740591 \tabularnewline
146 & 110 & 105.273442302989 & -2.18614398912893 & 4.72655769701071 & 0.222732667290928 \tabularnewline
147 & 104 & 101.016526318447 & -3.71329957113244 & 2.98347368155293 & -0.299969913802391 \tabularnewline
148 & 100 & 100.239614267556 & -1.54772477452549 & -0.23961426755642 & 0.425482301038726 \tabularnewline
149 & 96 & 104.655408235938 & 2.85172005490339 & -8.65540823593764 & 0.864403037790256 \tabularnewline
150 & 98 & 111.130573082673 & 5.52518898929027 & -13.1305730826734 & 0.525165571599378 \tabularnewline
151 & 122 & 113.454350318302 & 3.16359399081975 & 8.54564968169785 & -0.463816641992723 \tabularnewline
152 & 134 & 121.440100940525 & 6.719691965745 & 12.5598990594745 & 0.698424944619927 \tabularnewline
153 & 133 & 127.048039743979 & 5.89995717570374 & 5.95196025602095 & -0.161019539357333 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=192021&T=1

[TABLE]
[ROW][C]Structural Time Series Model[/C][/ROW]
[ROW][C]t[/C][C]Observed[/C][C]Level[/C][C]Slope[/C][C]Seasonal[/C][C]Stand. Residuals[/C][/ROW]
[ROW][C]1[/C][C]116[/C][C]116[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]111[/C][C]111.668981822357[/C][C]-4.3863059309104[/C][C]-0.668981822357159[/C][C]-0.922790445071934[/C][/ROW]
[ROW][C]3[/C][C]104[/C][C]104.198552738389[/C][C]-6.77087578138542[/C][C]-0.198552738389066[/C][C]-0.502711826049698[/C][/ROW]
[ROW][C]4[/C][C]100[/C][C]99.4426757157105[/C][C]-5.15173394244713[/C][C]0.557324284289508[/C][C]0.318982775191517[/C][/ROW]
[ROW][C]5[/C][C]93[/C][C]93.2938961988775[/C][C]-5.93831711032349[/C][C]-0.293896198877505[/C][C]-0.154135092787172[/C][/ROW]
[ROW][C]6[/C][C]91[/C][C]90.3855667173026[/C][C]-3.54380150988262[/C][C]0.614433282697359[/C][C]0.470763372745402[/C][/ROW]
[ROW][C]7[/C][C]119[/C][C]114.101376748041[/C][C]18.0245537724034[/C][C]4.89862325195874[/C][C]4.23649336460394[/C][/ROW]
[ROW][C]8[/C][C]139[/C][C]139.152912750404[/C][C]23.584490148372[/C][C]-0.1529127504039[/C][C]1.0921402100003[/C][/ROW]
[ROW][C]9[/C][C]134[/C][C]138.814465801078[/C][C]4.65877045263719[/C][C]-4.81446580107769[/C][C]-3.71755966240716[/C][/ROW]
[ROW][C]10[/C][C]124[/C][C]125.965508484259[/C][C]-9.19102184550366[/C][C]-1.96550848425864[/C][C]-2.72049225840474[/C][/ROW]
[ROW][C]11[/C][C]113[/C][C]112.797852955695[/C][C]-12.3368478745954[/C][C]0.20214704430463[/C][C]-0.617929816928427[/C][/ROW]
[ROW][C]12[/C][C]109[/C][C]107.481468478778[/C][C]-6.78304179670887[/C][C]1.51853152122217[/C][C]1.09092551989976[/C][/ROW]
[ROW][C]13[/C][C]109[/C][C]108.002906973438[/C][C]-1.01439390005116[/C][C]0.997093026562097[/C][C]1.13557299120698[/C][/ROW]
[ROW][C]14[/C][C]106[/C][C]106.595150449365[/C][C]-1.32595551617307[/C][C]-0.595150449365272[/C][C]-0.0620658579236888[/C][/ROW]
[ROW][C]15[/C][C]101[/C][C]102.263414673106[/C][C]-3.60267046158998[/C][C]-1.26341467310577[/C][C]-0.447915951168837[/C][/ROW]
[ROW][C]16[/C][C]98[/C][C]96.3063191237958[/C][C]-5.40215311276102[/C][C]1.69368087620423[/C][C]-0.357251321398451[/C][/ROW]
[ROW][C]17[/C][C]93[/C][C]91.6973878525676[/C][C]-4.79764784123053[/C][C]1.3026121474324[/C][C]0.118386643518399[/C][/ROW]
[ROW][C]18[/C][C]91[/C][C]94.8636819624375[/C][C]1.2482050471159[/C][C]-3.86368196243752[/C][C]1.18762219268143[/C][/ROW]
[ROW][C]19[/C][C]122[/C][C]116.677986281069[/C][C]16.8836512856056[/C][C]5.32201371893059[/C][C]3.07220421882654[/C][/ROW]
[ROW][C]20[/C][C]139[/C][C]135.75827076787[/C][C]18.5544558084431[/C][C]3.24172923213016[/C][C]0.328180287773196[/C][/ROW]
[ROW][C]21[/C][C]140[/C][C]143.614663579386[/C][C]10.4173764453161[/C][C]-3.61466357938585[/C][C]-1.59835582746329[/C][/ROW]
[ROW][C]22[/C][C]132[/C][C]135.91186989298[/C][C]-3.36443323688275[/C][C]-3.91186989297979[/C][C]-2.70718974040667[/C][/ROW]
[ROW][C]23[/C][C]117[/C][C]119.773477097192[/C][C]-13.0789712291495[/C][C]-2.77347709719224[/C][C]-1.90821951556777[/C][/ROW]
[ROW][C]24[/C][C]114[/C][C]112.372159306758[/C][C]-8.76393616063604[/C][C]1.62784069324164[/C][C]0.847714523801509[/C][/ROW]
[ROW][C]25[/C][C]113[/C][C]110.758049868535[/C][C]-3.33109917901626[/C][C]2.24195013146513[/C][C]1.06981673946451[/C][/ROW]
[ROW][C]26[/C][C]110[/C][C]109.698623318567[/C][C]-1.6028115105791[/C][C]0.301376681432715[/C][C]0.339953437696777[/C][/ROW]
[ROW][C]27[/C][C]107[/C][C]107.362511333818[/C][C]-2.153637583175[/C][C]-0.362511333817577[/C][C]-0.108122119931406[/C][/ROW]
[ROW][C]28[/C][C]103[/C][C]100.936280711927[/C][C]-5.36760574685786[/C][C]2.06371928807291[/C][C]-0.634848757757898[/C][/ROW]
[ROW][C]29[/C][C]98[/C][C]97.1591178577605[/C][C]-4.16896631835577[/C][C]0.840882142239487[/C][C]0.235286427751173[/C][/ROW]
[ROW][C]30[/C][C]98[/C][C]104.950191980465[/C][C]4.81353491926933[/C][C]-6.95019198046501[/C][C]1.76286940398819[/C][/ROW]
[ROW][C]31[/C][C]137[/C][C]129.952897645754[/C][C]19.9794205978504[/C][C]7.04710235424594[/C][C]2.97999288042936[/C][/ROW]
[ROW][C]32[/C][C]148[/C][C]145.152679474276[/C][C]16.3861924754173[/C][C]2.84732052572442[/C][C]-0.705837413297589[/C][/ROW]
[ROW][C]33[/C][C]147[/C][C]149.035333417576[/C][C]6.984835592483[/C][C]-2.03533341757629[/C][C]-1.84665566716186[/C][/ROW]
[ROW][C]34[/C][C]139[/C][C]141.941640961096[/C][C]-3.60023141290581[/C][C]-2.94164096109606[/C][C]-2.07931668518711[/C][/ROW]
[ROW][C]35[/C][C]130[/C][C]134.238986326755[/C][C]-6.6836395684299[/C][C]-4.2389863267553[/C][C]-0.605658830593732[/C][/ROW]
[ROW][C]36[/C][C]128[/C][C]127.883964858503[/C][C]-6.43680687277999[/C][C]0.116035141497281[/C][C]0.0485056634660202[/C][/ROW]
[ROW][C]37[/C][C]127[/C][C]124.772134393666[/C][C]-3.93796173254443[/C][C]2.22786560633377[/C][C]0.491704165202932[/C][/ROW]
[ROW][C]38[/C][C]123[/C][C]122.098899489018[/C][C]-2.98784833429006[/C][C]0.901100510982396[/C][C]0.186591207641846[/C][/ROW]
[ROW][C]39[/C][C]118[/C][C]116.698180962136[/C][C]-4.78988435616686[/C][C]1.30181903786426[/C][C]-0.353801346921009[/C][/ROW]
[ROW][C]40[/C][C]114[/C][C]111.014512177082[/C][C]-5.45760085153084[/C][C]2.9854878229177[/C][C]-0.1315491943632[/C][/ROW]
[ROW][C]41[/C][C]108[/C][C]109.116386184589[/C][C]-2.79294360866344[/C][C]-1.11638618458895[/C][C]0.52354212682521[/C][/ROW]
[ROW][C]42[/C][C]111[/C][C]121.106138879477[/C][C]8.25113655098098[/C][C]-10.1061388794774[/C][C]2.16737822004457[/C][/ROW]
[ROW][C]43[/C][C]151[/C][C]141.818358431677[/C][C]17.5555557775644[/C][C]9.18164156832286[/C][C]1.82781293215205[/C][/ROW]
[ROW][C]44[/C][C]159[/C][C]154.90582217349[/C][C]14.2170486252981[/C][C]4.09417782650972[/C][C]-0.655839644879928[/C][/ROW]
[ROW][C]45[/C][C]158[/C][C]158.676618083203[/C][C]6.40946026388436[/C][C]-0.67661808320261[/C][C]-1.53360197168675[/C][/ROW]
[ROW][C]46[/C][C]148[/C][C]152.250322839844[/C][C]-3.18356435945104[/C][C]-4.25032283984407[/C][C]-1.88440472668607[/C][/ROW]
[ROW][C]47[/C][C]138[/C][C]143.243583020318[/C][C]-7.5339161401457[/C][C]-5.24358302031809[/C][C]-0.854539698107235[/C][/ROW]
[ROW][C]48[/C][C]137[/C][C]137.424377527589[/C][C]-6.2533527485641[/C][C]-0.424377527588566[/C][C]0.251673028194599[/C][/ROW]
[ROW][C]49[/C][C]136[/C][C]133.597053347822[/C][C]-4.44050000689909[/C][C]2.4029466521784[/C][C]0.356474903503894[/C][/ROW]
[ROW][C]50[/C][C]133[/C][C]130.603932979673[/C][C]-3.35980697064865[/C][C]2.39606702032668[/C][C]0.212189533547501[/C][/ROW]
[ROW][C]51[/C][C]126[/C][C]123.900035495323[/C][C]-5.84824864617235[/C][C]2.09996450467655[/C][C]-0.488657586273675[/C][/ROW]
[ROW][C]52[/C][C]120[/C][C]116.987025756253[/C][C]-6.64064516984297[/C][C]3.01297424374675[/C][C]-0.155924401762449[/C][/ROW]
[ROW][C]53[/C][C]114[/C][C]117.481137935397[/C][C]-1.32235723897958[/C][C]-3.48113793539719[/C][C]1.04516610787474[/C][/ROW]
[ROW][C]54[/C][C]116[/C][C]127.982063681398[/C][C]7.48161452716207[/C][C]-11.9820636813977[/C][C]1.72814755341902[/C][/ROW]
[ROW][C]55[/C][C]153[/C][C]142.54884864655[/C][C]12.7534575497191[/C][C]10.4511513534502[/C][C]1.03541919010366[/C][/ROW]
[ROW][C]56[/C][C]162[/C][C]155.887381862644[/C][C]13.188978743699[/C][C]6.11261813735553[/C][C]0.0855556042098166[/C][/ROW]
[ROW][C]57[/C][C]161[/C][C]160.278381780826[/C][C]6.63766978046426[/C][C]0.721618219174415[/C][C]-1.28685564835649[/C][/ROW]
[ROW][C]58[/C][C]149[/C][C]154.11004799632[/C][C]-2.89785525420011[/C][C]-5.11004799631963[/C][C]-1.87306253377411[/C][/ROW]
[ROW][C]59[/C][C]139[/C][C]145.670675804883[/C][C]-7.02281662725523[/C][C]-6.67067580488303[/C][C]-0.810306496515839[/C][/ROW]
[ROW][C]60[/C][C]135[/C][C]136.613439174825[/C][C]-8.53702713199738[/C][C]-1.61343917482453[/C][C]-0.297583381952908[/C][/ROW]
[ROW][C]61[/C][C]130[/C][C]127.890127917652[/C][C]-8.67573968083289[/C][C]2.10987208234774[/C][C]-0.0272640077347629[/C][/ROW]
[ROW][C]62[/C][C]127[/C][C]122.376795667467[/C][C]-6.32285723535792[/C][C]4.62320433253307[/C][C]0.461983751103026[/C][/ROW]
[ROW][C]63[/C][C]122[/C][C]118.163535923904[/C][C]-4.75671277129608[/C][C]3.83646407609575[/C][C]0.307578025466546[/C][/ROW]
[ROW][C]64[/C][C]117[/C][C]114.767059083871[/C][C]-3.74684271716535[/C][C]2.23294091612863[/C][C]0.198595226554411[/C][/ROW]
[ROW][C]65[/C][C]112[/C][C]117.227606356021[/C][C]0.867284781546461[/C][C]-5.22760635602119[/C][C]0.906800819987983[/C][/ROW]
[ROW][C]66[/C][C]113[/C][C]126.032170074226[/C][C]6.7644019911275[/C][C]-13.0321700742262[/C][C]1.15781667684775[/C][/ROW]
[ROW][C]67[/C][C]149[/C][C]138.665022903038[/C][C]11.1213416887822[/C][C]10.3349770969623[/C][C]0.855637782343151[/C][/ROW]
[ROW][C]68[/C][C]157[/C][C]149.472353852792[/C][C]10.8881670922325[/C][C]7.52764614720849[/C][C]-0.0458035444087236[/C][/ROW]
[ROW][C]69[/C][C]157[/C][C]154.460978586896[/C][C]6.50601678320439[/C][C]2.53902141310416[/C][C]-0.860784794551214[/C][/ROW]
[ROW][C]70[/C][C]147[/C][C]152.402483346708[/C][C]0.144379036266272[/C][C]-5.40248334670775[/C][C]-1.24961501329782[/C][/ROW]
[ROW][C]71[/C][C]137[/C][C]144.550640965398[/C][C]-5.79388247258691[/C][C]-7.55064096539802[/C][C]-1.16656539365161[/C][/ROW]
[ROW][C]72[/C][C]132[/C][C]134.21488369182[/C][C]-9.16699185926512[/C][C]-2.21488369181959[/C][C]-0.662857185438534[/C][/ROW]
[ROW][C]73[/C][C]125[/C][C]123.642907185388[/C][C]-10.2107407792962[/C][C]1.3570928146117[/C][C]-0.20509375472867[/C][/ROW]
[ROW][C]74[/C][C]123[/C][C]117.48146990051[/C][C]-7.20481467494139[/C][C]5.51853009949036[/C][C]0.59023650402839[/C][/ROW]
[ROW][C]75[/C][C]117[/C][C]112.35925094724[/C][C]-5.66118113722113[/C][C]4.64074905275952[/C][C]0.30317582752219[/C][/ROW]
[ROW][C]76[/C][C]114[/C][C]111.769184832609[/C][C]-1.90233375387528[/C][C]2.23081516739083[/C][C]0.738937494283737[/C][/ROW]
[ROW][C]77[/C][C]111[/C][C]116.899085867666[/C][C]3.31500147026362[/C][C]-5.89908586766557[/C][C]1.02530957832561[/C][/ROW]
[ROW][C]78[/C][C]112[/C][C]125.982708279111[/C][C]7.59401548941428[/C][C]-13.9827082791109[/C][C]0.840268949391014[/C][/ROW]
[ROW][C]79[/C][C]144[/C][C]134.275411624125[/C][C]8.11197010530553[/C][C]9.72458837587456[/C][C]0.101715176601106[/C][/ROW]
[ROW][C]80[/C][C]150[/C][C]141.812487869794[/C][C]7.68578844600965[/C][C]8.18751213020552[/C][C]-0.0837124408433707[/C][/ROW]
[ROW][C]81[/C][C]149[/C][C]145.556991371244[/C][C]4.76338218358505[/C][C]3.44300862875593[/C][C]-0.574051649023906[/C][/ROW]
[ROW][C]82[/C][C]134[/C][C]139.586234483108[/C][C]-3.19596487993731[/C][C]-5.58623448310755[/C][C]-1.56348385226924[/C][/ROW]
[ROW][C]83[/C][C]123[/C][C]130.279492654092[/C][C]-7.72662748942206[/C][C]-7.27949265409196[/C][C]-0.890076129129111[/C][/ROW]
[ROW][C]84[/C][C]116[/C][C]118.354040072775[/C][C]-10.8401207593399[/C][C]-2.35404007277548[/C][C]-0.611791487500742[/C][/ROW]
[ROW][C]85[/C][C]117[/C][C]114.738891876815[/C][C]-5.48174032496482[/C][C]2.26110812318484[/C][C]1.05273269070731[/C][/ROW]
[ROW][C]86[/C][C]111[/C][C]106.100466342558[/C][C]-7.82132845103417[/C][C]4.89953365744162[/C][C]-0.459417966504263[/C][/ROW]
[ROW][C]87[/C][C]105[/C][C]100.508831252997[/C][C]-6.17061256954932[/C][C]4.49116874700338[/C][C]0.324219456140767[/C][/ROW]
[ROW][C]88[/C][C]102[/C][C]100.250044104557[/C][C]-1.79379765880787[/C][C]1.74995589544336[/C][C]0.860242572332444[/C][/ROW]
[ROW][C]89[/C][C]95[/C][C]101.913496536226[/C][C]0.767640185716855[/C][C]-6.91349653622648[/C][C]0.50334994922683[/C][/ROW]
[ROW][C]90[/C][C]93[/C][C]106.828774221635[/C][C]3.8404739757286[/C][C]-13.8287742216348[/C][C]0.60348448728911[/C][/ROW]
[ROW][C]91[/C][C]124[/C][C]114.254299584523[/C][C]6.49518653425088[/C][C]9.745700415477[/C][C]0.521330708977514[/C][/ROW]
[ROW][C]92[/C][C]130[/C][C]121.355023684023[/C][C]6.94352629527922[/C][C]8.64497631597741[/C][C]0.0880611029878773[/C][/ROW]
[ROW][C]93[/C][C]124[/C][C]119.715453653162[/C][C]0.5878178286147[/C][C]4.28454634683793[/C][C]-1.24846148174469[/C][/ROW]
[ROW][C]94[/C][C]115[/C][C]118.99983720099[/C][C]-0.377395925875614[/C][C]-3.99983720098994[/C][C]-0.189605918275065[/C][/ROW]
[ROW][C]95[/C][C]106[/C][C]113.276204089426[/C][C]-4.33631397534497[/C][C]-7.27620408942577[/C][C]-0.777773364042293[/C][/ROW]
[ROW][C]96[/C][C]105[/C][C]108.988888801451[/C][C]-4.30002434838903[/C][C]-3.98888880145059[/C][C]0.0071303179659054[/C][/ROW]
[ROW][C]97[/C][C]105[/C][C]102.033559975163[/C][C]-6.26678294706232[/C][C]2.96644002483682[/C][C]-0.386359118464176[/C][/ROW]
[ROW][C]98[/C][C]101[/C][C]96.0937078706447[/C][C]-6.02477085096867[/C][C]4.90629212935526[/C][C]0.0475250758002223[/C][/ROW]
[ROW][C]99[/C][C]95[/C][C]91.3850877664322[/C][C]-5.05130526922852[/C][C]3.61491223356779[/C][C]0.191204353327684[/C][/ROW]
[ROW][C]100[/C][C]93[/C][C]90.9756440821235[/C][C]-1.61797470702412[/C][C]2.02435591787652[/C][C]0.674716202503714[/C][/ROW]
[ROW][C]101[/C][C]84[/C][C]91.6528013674932[/C][C]0.0806042659233601[/C][C]-7.65280136749317[/C][C]0.333774791115089[/C][/ROW]
[ROW][C]102[/C][C]87[/C][C]100.480661589252[/C][C]6.55459574071369[/C][C]-13.4806615892518[/C][C]1.27155466645138[/C][/ROW]
[ROW][C]103[/C][C]116[/C][C]106.933922746295[/C][C]6.47962683447573[/C][C]9.06607725370487[/C][C]-0.0147226305822099[/C][/ROW]
[ROW][C]104[/C][C]120[/C][C]110.030384269988[/C][C]3.97723272742548[/C][C]9.96961573001191[/C][C]-0.491495291745647[/C][/ROW]
[ROW][C]105[/C][C]117[/C][C]112.789607517344[/C][C]3.07628689010213[/C][C]4.21039248265643[/C][C]-0.176973912865141[/C][/ROW]
[ROW][C]106[/C][C]109[/C][C]112.480005601542[/C][C]0.571683555666467[/C][C]-3.48000560154249[/C][C]-0.492016449795495[/C][/ROW]
[ROW][C]107[/C][C]105[/C][C]112.42240239779[/C][C]0.106163453127896[/C][C]-7.42240239778996[/C][C]-0.0914581572786483[/C][/ROW]
[ROW][C]108[/C][C]107[/C][C]110.54159368288[/C][C]-1.36396793943742[/C][C]-3.54159368287984[/C][C]-0.288841398079474[/C][/ROW]
[ROW][C]109[/C][C]109[/C][C]106.286430321102[/C][C]-3.50317483950344[/C][C]2.71356967889766[/C][C]-0.420208700659385[/C][/ROW]
[ROW][C]110[/C][C]109[/C][C]103.779280793724[/C][C]-2.76659776493381[/C][C]5.22071920627648[/C][C]0.144649711486962[/C][/ROW]
[ROW][C]111[/C][C]108[/C][C]104.493288915977[/C][C]-0.194344981558237[/C][C]3.5067110840228[/C][C]0.505239989961429[/C][/ROW]
[ROW][C]112[/C][C]107[/C][C]105.295547558353[/C][C]0.54218347581913[/C][C]1.70445244164709[/C][C]0.144729501255885[/C][/ROW]
[ROW][C]113[/C][C]99[/C][C]108.55240087765[/C][C]2.54940115422997[/C][C]-9.5524008776501[/C][C]0.394408789247114[/C][/ROW]
[ROW][C]114[/C][C]103[/C][C]115.773872732687[/C][C]6.00424741560591[/C][C]-12.7738727326866[/C][C]0.678603184583329[/C][/ROW]
[ROW][C]115[/C][C]131[/C][C]121.403505980552[/C][C]5.7273252894764[/C][C]9.59649401944765[/C][C]-0.0543841286721832[/C][/ROW]
[ROW][C]116[/C][C]137[/C][C]126.895198799996[/C][C]5.5531862082883[/C][C]10.1048012000043[/C][C]-0.034201974498225[/C][/ROW]
[ROW][C]117[/C][C]135[/C][C]130.487276271375[/C][C]4.10392356554873[/C][C]4.51272372862491[/C][C]-0.284679628157341[/C][/ROW]
[ROW][C]118[/C][C]124[/C][C]128.621146839535[/C][C]-0.308157247592369[/C][C]-4.62114683953524[/C][C]-0.866750934563273[/C][/ROW]
[ROW][C]119[/C][C]118[/C][C]125.359599982027[/C][C]-2.49104292932079[/C][C]-7.35959998202709[/C][C]-0.428863999887222[/C][/ROW]
[ROW][C]120[/C][C]121[/C][C]123.473607891221[/C][C]-2.04376605595264[/C][C]-2.47360789122128[/C][C]0.0878743201042735[/C][/ROW]
[ROW][C]121[/C][C]121[/C][C]118.866607911598[/C][C]-3.93856995623273[/C][C]2.1333920884021[/C][C]-0.372185068067329[/C][/ROW]
[ROW][C]122[/C][C]118[/C][C]113.599241744717[/C][C]-4.9203850061828[/C][C]4.40075825528262[/C][C]-0.192814571879995[/C][/ROW]
[ROW][C]123[/C][C]113[/C][C]109.311491717862[/C][C]-4.4531996958564[/C][C]3.68850828213841[/C][C]0.0917651869388464[/C][/ROW]
[ROW][C]124[/C][C]107[/C][C]105.754693555258[/C][C]-3.79121650174363[/C][C]1.2453064447419[/C][C]0.130073321621217[/C][/ROW]
[ROW][C]125[/C][C]100[/C][C]109.410785686241[/C][C]1.71079865699777[/C][C]-9.41078568624076[/C][C]1.08108727540161[/C][/ROW]
[ROW][C]126[/C][C]102[/C][C]114.385918642088[/C][C]4.12275260536129[/C][C]-12.3859186420881[/C][C]0.473775312335004[/C][/ROW]
[ROW][C]127[/C][C]130[/C][C]120.336426645489[/C][C]5.47286652462581[/C][C]9.66357335451064[/C][C]0.265151990689908[/C][/ROW]
[ROW][C]128[/C][C]136[/C][C]125.67515874293[/C][C]5.37381338392005[/C][C]10.3248412570698[/C][C]-0.0194544035347695[/C][/ROW]
[ROW][C]129[/C][C]133[/C][C]127.695109475329[/C][C]2.89733834247793[/C][C]5.30489052467087[/C][C]-0.486454001315816[/C][/ROW]
[ROW][C]130[/C][C]120[/C][C]125.051672694779[/C][C]-1.19412987584461[/C][C]-5.05167269477936[/C][C]-0.803780656874503[/C][/ROW]
[ROW][C]131[/C][C]112[/C][C]120.282853141814[/C][C]-3.83414636393013[/C][C]-8.28285314181414[/C][C]-0.518677739610615[/C][/ROW]
[ROW][C]132[/C][C]109[/C][C]111.675630265227[/C][C]-7.35979162276702[/C][C]-2.67563026522712[/C][C]-0.692644977330962[/C][/ROW]
[ROW][C]133[/C][C]110[/C][C]106.759517631361[/C][C]-5.55485332779613[/C][C]3.24048236863884[/C][C]0.35452428693034[/C][/ROW]
[ROW][C]134[/C][C]106[/C][C]101.347692314774[/C][C]-5.44925594718352[/C][C]4.65230768522558[/C][C]0.0207382440583804[/C][/ROW]
[ROW][C]135[/C][C]102[/C][C]97.7732165707994[/C][C]-4.06573562408298[/C][C]4.22678342920057[/C][C]0.271755040028784[/C][/ROW]
[ROW][C]136[/C][C]98[/C][C]97.7701915421593[/C][C]-1.06754192685055[/C][C]0.229808457840695[/C][C]0.589090578414668[/C][/ROW]
[ROW][C]137[/C][C]92[/C][C]101.451529616734[/C][C]2.43827243958471[/C][C]-9.45152961673362[/C][C]0.688837545104272[/C][/ROW]
[ROW][C]138[/C][C]92[/C][C]104.987810337353[/C][C]3.24897206592366[/C][C]-12.9878103373528[/C][C]0.159248052623571[/C][/ROW]
[ROW][C]139[/C][C]120[/C][C]110.305918143328[/C][C]4.77632563553341[/C][C]9.69408185667213[/C][C]0.299966607739373[/C][/ROW]
[ROW][C]140[/C][C]127[/C][C]116.029667507962[/C][C]5.4754667186313[/C][C]10.9703324920384[/C][C]0.137313035204549[/C][/ROW]
[ROW][C]141[/C][C]124[/C][C]118.162394353547[/C][C]3.00904687375619[/C][C]5.83760564645269[/C][C]-0.48447729889588[/C][/ROW]
[ROW][C]142[/C][C]114[/C][C]118.554775833821[/C][C]1.07827104941886[/C][C]-4.55477583382082[/C][C]-0.379310751294796[/C][/ROW]
[ROW][C]143[/C][C]108[/C][C]115.688876974344[/C][C]-1.83250197629166[/C][C]-7.68887697434434[/C][C]-0.571873483502017[/C][/ROW]
[ROW][C]144[/C][C]106[/C][C]109.857099407526[/C][C]-4.78440928939765[/C][C]-3.85709940752635[/C][C]-0.57991536161457[/C][/ROW]
[ROW][C]145[/C][C]111[/C][C]107.056475133655[/C][C]-3.32026127178157[/C][C]3.94352486634499[/C][C]0.287582080740591[/C][/ROW]
[ROW][C]146[/C][C]110[/C][C]105.273442302989[/C][C]-2.18614398912893[/C][C]4.72655769701071[/C][C]0.222732667290928[/C][/ROW]
[ROW][C]147[/C][C]104[/C][C]101.016526318447[/C][C]-3.71329957113244[/C][C]2.98347368155293[/C][C]-0.299969913802391[/C][/ROW]
[ROW][C]148[/C][C]100[/C][C]100.239614267556[/C][C]-1.54772477452549[/C][C]-0.23961426755642[/C][C]0.425482301038726[/C][/ROW]
[ROW][C]149[/C][C]96[/C][C]104.655408235938[/C][C]2.85172005490339[/C][C]-8.65540823593764[/C][C]0.864403037790256[/C][/ROW]
[ROW][C]150[/C][C]98[/C][C]111.130573082673[/C][C]5.52518898929027[/C][C]-13.1305730826734[/C][C]0.525165571599378[/C][/ROW]
[ROW][C]151[/C][C]122[/C][C]113.454350318302[/C][C]3.16359399081975[/C][C]8.54564968169785[/C][C]-0.463816641992723[/C][/ROW]
[ROW][C]152[/C][C]134[/C][C]121.440100940525[/C][C]6.719691965745[/C][C]12.5598990594745[/C][C]0.698424944619927[/C][/ROW]
[ROW][C]153[/C][C]133[/C][C]127.048039743979[/C][C]5.89995717570374[/C][C]5.95196025602095[/C][C]-0.161019539357333[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=192021&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=192021&T=1

As an alternative you can also use a QR Code:

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

Structural Time Series Model
t	Observed	Level	Slope	Seasonal	Stand. Residuals
1	116	116	0	0	0
2	111	111.668981822357	-4.3863059309104	-0.668981822357159	-0.922790445071934
3	104	104.198552738389	-6.77087578138542	-0.198552738389066	-0.502711826049698
4	100	99.4426757157105	-5.15173394244713	0.557324284289508	0.318982775191517
5	93	93.2938961988775	-5.93831711032349	-0.293896198877505	-0.154135092787172
6	91	90.3855667173026	-3.54380150988262	0.614433282697359	0.470763372745402
7	119	114.101376748041	18.0245537724034	4.89862325195874	4.23649336460394
8	139	139.152912750404	23.584490148372	-0.1529127504039	1.0921402100003
9	134	138.814465801078	4.65877045263719	-4.81446580107769	-3.71755966240716
10	124	125.965508484259	-9.19102184550366	-1.96550848425864	-2.72049225840474
11	113	112.797852955695	-12.3368478745954	0.20214704430463	-0.617929816928427
12	109	107.481468478778	-6.78304179670887	1.51853152122217	1.09092551989976
13	109	108.002906973438	-1.01439390005116	0.997093026562097	1.13557299120698
14	106	106.595150449365	-1.32595551617307	-0.595150449365272	-0.0620658579236888
15	101	102.263414673106	-3.60267046158998	-1.26341467310577	-0.447915951168837
16	98	96.3063191237958	-5.40215311276102	1.69368087620423	-0.357251321398451
17	93	91.6973878525676	-4.79764784123053	1.3026121474324	0.118386643518399
18	91	94.8636819624375	1.2482050471159	-3.86368196243752	1.18762219268143
19	122	116.677986281069	16.8836512856056	5.32201371893059	3.07220421882654
20	139	135.75827076787	18.5544558084431	3.24172923213016	0.328180287773196
21	140	143.614663579386	10.4173764453161	-3.61466357938585	-1.59835582746329
22	132	135.91186989298	-3.36443323688275	-3.91186989297979	-2.70718974040667
23	117	119.773477097192	-13.0789712291495	-2.77347709719224	-1.90821951556777
24	114	112.372159306758	-8.76393616063604	1.62784069324164	0.847714523801509
25	113	110.758049868535	-3.33109917901626	2.24195013146513	1.06981673946451
26	110	109.698623318567	-1.6028115105791	0.301376681432715	0.339953437696777
27	107	107.362511333818	-2.153637583175	-0.362511333817577	-0.108122119931406
28	103	100.936280711927	-5.36760574685786	2.06371928807291	-0.634848757757898
29	98	97.1591178577605	-4.16896631835577	0.840882142239487	0.235286427751173
30	98	104.950191980465	4.81353491926933	-6.95019198046501	1.76286940398819
31	137	129.952897645754	19.9794205978504	7.04710235424594	2.97999288042936
32	148	145.152679474276	16.3861924754173	2.84732052572442	-0.705837413297589
33	147	149.035333417576	6.984835592483	-2.03533341757629	-1.84665566716186
34	139	141.941640961096	-3.60023141290581	-2.94164096109606	-2.07931668518711
35	130	134.238986326755	-6.6836395684299	-4.2389863267553	-0.605658830593732
36	128	127.883964858503	-6.43680687277999	0.116035141497281	0.0485056634660202
37	127	124.772134393666	-3.93796173254443	2.22786560633377	0.491704165202932
38	123	122.098899489018	-2.98784833429006	0.901100510982396	0.186591207641846
39	118	116.698180962136	-4.78988435616686	1.30181903786426	-0.353801346921009
40	114	111.014512177082	-5.45760085153084	2.9854878229177	-0.1315491943632
41	108	109.116386184589	-2.79294360866344	-1.11638618458895	0.52354212682521
42	111	121.106138879477	8.25113655098098	-10.1061388794774	2.16737822004457
43	151	141.818358431677	17.5555557775644	9.18164156832286	1.82781293215205
44	159	154.90582217349	14.2170486252981	4.09417782650972	-0.655839644879928
45	158	158.676618083203	6.40946026388436	-0.67661808320261	-1.53360197168675
46	148	152.250322839844	-3.18356435945104	-4.25032283984407	-1.88440472668607
47	138	143.243583020318	-7.5339161401457	-5.24358302031809	-0.854539698107235
48	137	137.424377527589	-6.2533527485641	-0.424377527588566	0.251673028194599
49	136	133.597053347822	-4.44050000689909	2.4029466521784	0.356474903503894
50	133	130.603932979673	-3.35980697064865	2.39606702032668	0.212189533547501
51	126	123.900035495323	-5.84824864617235	2.09996450467655	-0.488657586273675
52	120	116.987025756253	-6.64064516984297	3.01297424374675	-0.155924401762449
53	114	117.481137935397	-1.32235723897958	-3.48113793539719	1.04516610787474
54	116	127.982063681398	7.48161452716207	-11.9820636813977	1.72814755341902
55	153	142.54884864655	12.7534575497191	10.4511513534502	1.03541919010366
56	162	155.887381862644	13.188978743699	6.11261813735553	0.0855556042098166
57	161	160.278381780826	6.63766978046426	0.721618219174415	-1.28685564835649
58	149	154.11004799632	-2.89785525420011	-5.11004799631963	-1.87306253377411
59	139	145.670675804883	-7.02281662725523	-6.67067580488303	-0.810306496515839
60	135	136.613439174825	-8.53702713199738	-1.61343917482453	-0.297583381952908
61	130	127.890127917652	-8.67573968083289	2.10987208234774	-0.0272640077347629
62	127	122.376795667467	-6.32285723535792	4.62320433253307	0.461983751103026
63	122	118.163535923904	-4.75671277129608	3.83646407609575	0.307578025466546
64	117	114.767059083871	-3.74684271716535	2.23294091612863	0.198595226554411
65	112	117.227606356021	0.867284781546461	-5.22760635602119	0.906800819987983
66	113	126.032170074226	6.7644019911275	-13.0321700742262	1.15781667684775
67	149	138.665022903038	11.1213416887822	10.3349770969623	0.855637782343151
68	157	149.472353852792	10.8881670922325	7.52764614720849	-0.0458035444087236
69	157	154.460978586896	6.50601678320439	2.53902141310416	-0.860784794551214
70	147	152.402483346708	0.144379036266272	-5.40248334670775	-1.24961501329782
71	137	144.550640965398	-5.79388247258691	-7.55064096539802	-1.16656539365161
72	132	134.21488369182	-9.16699185926512	-2.21488369181959	-0.662857185438534
73	125	123.642907185388	-10.2107407792962	1.3570928146117	-0.20509375472867
74	123	117.48146990051	-7.20481467494139	5.51853009949036	0.59023650402839
75	117	112.35925094724	-5.66118113722113	4.64074905275952	0.30317582752219
76	114	111.769184832609	-1.90233375387528	2.23081516739083	0.738937494283737
77	111	116.899085867666	3.31500147026362	-5.89908586766557	1.02530957832561
78	112	125.982708279111	7.59401548941428	-13.9827082791109	0.840268949391014
79	144	134.275411624125	8.11197010530553	9.72458837587456	0.101715176601106
80	150	141.812487869794	7.68578844600965	8.18751213020552	-0.0837124408433707
81	149	145.556991371244	4.76338218358505	3.44300862875593	-0.574051649023906
82	134	139.586234483108	-3.19596487993731	-5.58623448310755	-1.56348385226924
83	123	130.279492654092	-7.72662748942206	-7.27949265409196	-0.890076129129111
84	116	118.354040072775	-10.8401207593399	-2.35404007277548	-0.611791487500742
85	117	114.738891876815	-5.48174032496482	2.26110812318484	1.05273269070731
86	111	106.100466342558	-7.82132845103417	4.89953365744162	-0.459417966504263
87	105	100.508831252997	-6.17061256954932	4.49116874700338	0.324219456140767
88	102	100.250044104557	-1.79379765880787	1.74995589544336	0.860242572332444
89	95	101.913496536226	0.767640185716855	-6.91349653622648	0.50334994922683
90	93	106.828774221635	3.8404739757286	-13.8287742216348	0.60348448728911
91	124	114.254299584523	6.49518653425088	9.745700415477	0.521330708977514
92	130	121.355023684023	6.94352629527922	8.64497631597741	0.0880611029878773
93	124	119.715453653162	0.5878178286147	4.28454634683793	-1.24846148174469
94	115	118.99983720099	-0.377395925875614	-3.99983720098994	-0.189605918275065
95	106	113.276204089426	-4.33631397534497	-7.27620408942577	-0.777773364042293
96	105	108.988888801451	-4.30002434838903	-3.98888880145059	0.0071303179659054
97	105	102.033559975163	-6.26678294706232	2.96644002483682	-0.386359118464176
98	101	96.0937078706447	-6.02477085096867	4.90629212935526	0.0475250758002223
99	95	91.3850877664322	-5.05130526922852	3.61491223356779	0.191204353327684
100	93	90.9756440821235	-1.61797470702412	2.02435591787652	0.674716202503714
101	84	91.6528013674932	0.0806042659233601	-7.65280136749317	0.333774791115089
102	87	100.480661589252	6.55459574071369	-13.4806615892518	1.27155466645138
103	116	106.933922746295	6.47962683447573	9.06607725370487	-0.0147226305822099
104	120	110.030384269988	3.97723272742548	9.96961573001191	-0.491495291745647
105	117	112.789607517344	3.07628689010213	4.21039248265643	-0.176973912865141
106	109	112.480005601542	0.571683555666467	-3.48000560154249	-0.492016449795495
107	105	112.42240239779	0.106163453127896	-7.42240239778996	-0.0914581572786483
108	107	110.54159368288	-1.36396793943742	-3.54159368287984	-0.288841398079474
109	109	106.286430321102	-3.50317483950344	2.71356967889766	-0.420208700659385
110	109	103.779280793724	-2.76659776493381	5.22071920627648	0.144649711486962
111	108	104.493288915977	-0.194344981558237	3.5067110840228	0.505239989961429
112	107	105.295547558353	0.54218347581913	1.70445244164709	0.144729501255885
113	99	108.55240087765	2.54940115422997	-9.5524008776501	0.394408789247114
114	103	115.773872732687	6.00424741560591	-12.7738727326866	0.678603184583329
115	131	121.403505980552	5.7273252894764	9.59649401944765	-0.0543841286721832
116	137	126.895198799996	5.5531862082883	10.1048012000043	-0.034201974498225
117	135	130.487276271375	4.10392356554873	4.51272372862491	-0.284679628157341
118	124	128.621146839535	-0.308157247592369	-4.62114683953524	-0.866750934563273
119	118	125.359599982027	-2.49104292932079	-7.35959998202709	-0.428863999887222
120	121	123.473607891221	-2.04376605595264	-2.47360789122128	0.0878743201042735
121	121	118.866607911598	-3.93856995623273	2.1333920884021	-0.372185068067329
122	118	113.599241744717	-4.9203850061828	4.40075825528262	-0.192814571879995
123	113	109.311491717862	-4.4531996958564	3.68850828213841	0.0917651869388464
124	107	105.754693555258	-3.79121650174363	1.2453064447419	0.130073321621217
125	100	109.410785686241	1.71079865699777	-9.41078568624076	1.08108727540161
126	102	114.385918642088	4.12275260536129	-12.3859186420881	0.473775312335004
127	130	120.336426645489	5.47286652462581	9.66357335451064	0.265151990689908
128	136	125.67515874293	5.37381338392005	10.3248412570698	-0.0194544035347695
129	133	127.695109475329	2.89733834247793	5.30489052467087	-0.486454001315816
130	120	125.051672694779	-1.19412987584461	-5.05167269477936	-0.803780656874503
131	112	120.282853141814	-3.83414636393013	-8.28285314181414	-0.518677739610615
132	109	111.675630265227	-7.35979162276702	-2.67563026522712	-0.692644977330962
133	110	106.759517631361	-5.55485332779613	3.24048236863884	0.35452428693034
134	106	101.347692314774	-5.44925594718352	4.65230768522558	0.0207382440583804
135	102	97.7732165707994	-4.06573562408298	4.22678342920057	0.271755040028784
136	98	97.7701915421593	-1.06754192685055	0.229808457840695	0.589090578414668
137	92	101.451529616734	2.43827243958471	-9.45152961673362	0.688837545104272
138	92	104.987810337353	3.24897206592366	-12.9878103373528	0.159248052623571
139	120	110.305918143328	4.77632563553341	9.69408185667213	0.299966607739373
140	127	116.029667507962	5.4754667186313	10.9703324920384	0.137313035204549
141	124	118.162394353547	3.00904687375619	5.83760564645269	-0.48447729889588
142	114	118.554775833821	1.07827104941886	-4.55477583382082	-0.379310751294796
143	108	115.688876974344	-1.83250197629166	-7.68887697434434	-0.571873483502017
144	106	109.857099407526	-4.78440928939765	-3.85709940752635	-0.57991536161457
145	111	107.056475133655	-3.32026127178157	3.94352486634499	0.287582080740591
146	110	105.273442302989	-2.18614398912893	4.72655769701071	0.222732667290928
147	104	101.016526318447	-3.71329957113244	2.98347368155293	-0.299969913802391
148	100	100.239614267556	-1.54772477452549	-0.23961426755642	0.425482301038726
149	96	104.655408235938	2.85172005490339	-8.65540823593764	0.864403037790256
150	98	111.130573082673	5.52518898929027	-13.1305730826734	0.525165571599378
151	122	113.454350318302	3.16359399081975	8.54564968169785	-0.463816641992723
152	134	121.440100940525	6.719691965745	12.5598990594745	0.698424944619927
153	133	127.048039743979	5.89995717570374	5.95196025602095	-0.161019539357333

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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Parameters (Session):

par1 = 12 ;

Parameters (R input):

par1 = 12 ;

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

par1 <- as.numeric(par1)
nx <- length(x)
x <- ts(x,frequency=par1)
m <- StructTS(x,type='BSM')
m$coef
m$fitted
m$resid
mylevel <- as.numeric(m$fitted[,'level'])
myslope <- as.numeric(m$fitted[,'slope'])
myseas <- as.numeric(m$fitted[,'sea'])
myresid <- as.numeric(m$resid)
myfit <- mylevel+myseas
bitmap(file='test1.png')
plot(as.numeric(m$resid),main='Standardized Residuals',ylab='Residuals',xlab='time')
grid()
dev.off()
mylagmax <- nx/2
bitmap(file='test2.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(x),lag.max = mylagmax,main='Observed')
acf(mylevel,na.action=na.pass,lag.max = mylagmax,main='Level')
acf(myseas,na.action=na.pass,lag.max = mylagmax,main='Seasonal')
acf(myresid,na.action=na.pass,lag.max = mylagmax,main='Standardized Residals')
par(op)
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
spectrum(as.numeric(x),main='Observed')
spectrum(mylevel,main='Level')
spectrum(myseas,main='Seasonal')
spectrum(myresid,main='Standardized Residals')
par(op)
dev.off()
bitmap(file='test4.png')
op <- par(mfrow = c(2,2))
cpgram(as.numeric(x),main='Observed')
cpgram(mylevel,main='Level')
cpgram(myseas,main='Seasonal')
cpgram(myresid,main='Standardized Residals')
par(op)
dev.off()
bitmap(file='test5.png')
op <- par(mfrow = c(2,2))
hist(m$resid,main='Residual Histogram')
plot(density(m$resid),main='Residual Kernel Density')
qqnorm(m$resid,main='Residual Normal QQ Plot')
qqline(m$resid)
plot(m$resid^2, myfit^2,main='Sq.Resid vs. Sq.Fit',xlab='Squared residuals',ylab='Squared Fit')
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Structural Time Series Model',6,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Observed',header=TRUE)
a<-table.element(a,'Level',header=TRUE)
a<-table.element(a,'Slope',header=TRUE)
a<-table.element(a,'Seasonal',header=TRUE)
a<-table.element(a,'Stand. Residuals',header=TRUE)
a<-table.row.end(a)
for (i in 1:nx) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
a<-table.element(a,mylevel[i])
a<-table.element(a,myslope[i])
a<-table.element(a,myseas[i])
a<-table.element(a,myresid[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code