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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_structuraltimeseries.wasp
Title produced by softwareStructural Time Series Models
Date of computationSun, 17 Nov 2013 08:49:10 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2013/Nov/17/t13846961582pr0iza1kcqn5yu.htm/, Retrieved Mon, 29 Apr 2024 02:23:05 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=225738, Retrieved Mon, 29 Apr 2024 02:23:05 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact84
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Structural Time Series Models] [] [2013-11-17 13:49:10] [a6c86ecfac1c17167d9b343b3a96f19f] [Current]
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Dataseries X:
41
39
50
40
43
38
44
35
39
35
29
49
50
59
63
32
39
47
53
60
57
52
70
90
74
62
55
84
94
70
108
139
120
97
126
149
158
124
140
109
114
77
120
133
110
92
97
78
99
107
112
90
98
125
155
190
236
189
174
178
136
161
171
149
184
155
276
224
213
279
268
287
238
213
257
293
212
246
353
339
308
247
257
322
298
273
312
249
286
279
309
401
309
328
353
354
327
324
285
243
241
287
355
460
364
487
452
391
500
451
375
372
302
316
398
394
431
431




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time5 seconds
R Server'Gwilym Jenkins' @ jenkins.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 & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=225738&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]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=225738&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=225738&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 Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time5 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net







Structural Time Series Model
tObservedLevelSlopeSeasonalStand. Residuals
14141000
23939.6062725197977-0.0934956285839046-0.150496979523337-0.0454929310530888
35045.88651378412070.1687735678253540.9174622440756620.276603553690219
44042.55330030963260.0830451207493007-0.590387017183297-0.163036421313483
54342.70773331683690.0843274021650280.2512601551785950.00337249033740638
63839.94646451561090.039810974431908-0.301446889230147-0.134911079003188
74442.22706647181910.07313752162252850.4752577683248390.106330927730164
83538.05491550407480.0109032829643089-0.595501467885979-0.201468409812978
93938.48452057732860.01703566485410020.2729378685653910.0198670790091495
103536.4527709057553-0.0130874632592059-0.266277515316256-0.0971890678417177
112932.0361520101277-0.0781853970306136-0.486772375520725-0.208834276180735
124941.83167168472230.06863624108962461.45391539743370.468120439421502
135045.5092769630382-0.1700869364819792.293584015552410.212822407424729
145954.45869280212890.1100622743587630.4348828094912410.370559172000182
156359.15463493588070.2251142951037521.50756243442670.205165436468391
163244.3738117919015-0.0297693250849025-4.19834313305727-0.701294893289271
173940.471582661632-0.08111214620700920.672857118004556-0.182769577524029
184744.2885054857284-0.03444053494384550.5445926836713950.184364268634503
195348.95036693810750.02028376582657451.436856753842490.222199164963241
206055.78892222234970.09986960070962980.41782423005360.322567127734152
215756.54664615189060.1076395874136990.08746258708405150.0311159456465922
225253.92643881833020.0749103827791052-0.409741690832726-0.128995620173717
237063.59960446221730.1910767780100351.06510292643760.453778641902654
249078.47793575379760.3412247888366283.350987466720660.693879010290869
257477.98459316913050.358551902574442-3.50667358713208-0.0434494769903992
266268.96173508042550.161672117002985-2.33676349221649-0.411023666937281
275558.6755995841866-0.06166831334681191.63838135964108-0.47256790865218
288474.20633371730650.1982727552125671.497152245567770.727529068215614
299485.83096598048860.3565578591234232.003559881215970.53775219999863
307077.85941865843110.250305685178032-3.35045311113238-0.392655410148743
3110893.96384971013660.4482434627127355.446914660931830.747680556369907
32139119.5545126768440.7631624002640385.825189823220851.18557901021789
33120121.0497360674120.772442796274874-1.446209354542730.0345136916760811
3497109.1309202234020.609447196753702-5.25934000506185-0.598239398690721
35126118.6812110301740.722910876184462.478274209373460.42132271166793
36149134.2651167308530.8737270358685746.681775737987840.700051592312021
37158148.5699870958080.8157159683361041.998175668557660.666728386686687
38124136.2045610013980.584733141803927-5.49899269487874-0.595814835316965
39140138.6160161862290.6209689208909960.4546775793779460.0831735032458432
40109122.7781120046470.337980011619326-5.14330907616827-0.766428294895348
41114115.553470556550.2241353530012122.4636574162304-0.354943401099348
427797.7333968476302-0.0296015836968441-11.1169553430578-0.84838777593516
43120108.5979494081530.1203773561895535.592324245717260.512334994614388
44133119.4594294172310.2684060599527497.812694158664540.505091550044813
45110114.8272274115190.200263822465222-2.21441345616142-0.230416521351508
4692106.315578804770.0784495074285591-9.67153551917209-0.409553236185389
4797101.2363639299080.00837419974026841-1.48717747751066-0.242351512031554
487885.6059478084837-0.1673780302022460.735415231902353-0.735067229577126
499988.6053485815619-0.1540295313530348.679949467538850.153419443156978
50107101.7566414946730.0642110309273865-1.611530772251210.610395137347965
51112106.1385192062650.1462331370801833.659273233269310.197595988420346
529099.47721253659770.0262247888050417-5.93310607481587-0.31655926554769
539895.3512438929749-0.04051433213473694.83381752846199-0.194451682962181
54125118.5736985869040.313339845945864-5.854991424665831.09133941572638
55155137.7085527609670.5937673890226627.348067072058960.883196099801903
56190162.7353342920570.9571615147775314.35645803180641.14644936348405
57236204.6806604335241.569615043175119.667596162043331.92306182471618
58189203.4653886709861.52806869580928-12.9944921047265-0.130633491522802
59174187.4240200371021.27490858718976-4.14627184361091-0.823649013178864
60178182.3432993154331.19505043913963-0.985477053172914-0.298217234229195
61136155.4751472025680.937912427011397-4.49003866752401-1.3409117064352
62161158.9323417488750.9787501699328620.7628405146089170.116438469105081
63171162.7044425826891.030383618342786.866248012098960.128357267054998
64149158.3176098030190.933607555219412-6.50847058478486-0.251718537627848
65184171.9910984509841.147422719418765.342453588423560.59565606214084
66155169.00971704251.08105732636782-11.842627928412-0.19337388109597
67276226.5853168348241.971866120402519.74138014456122.64660636262013
68224225.1179466234151.917862022810520.688609783262312-0.161111471445632
69213213.8569819199671.710802417357116.06500824681364-0.617299653637027
70279254.6180635638682.32042529256743.874874318741041.82859299374303
71268265.8355492624572.45477804588897-2.506079101163990.416352074921179
72287277.0007487039112.574741209939565.424394738860190.408150458200819
73238260.9057322315462.34762865032265-13.0262558705597-0.884727112559617
74213234.8901922540591.88377611752829-7.16848166460815-1.31602561729657
75257242.058798906681.9797387923384412.22907632794470.243621416491485
76293275.2263378840752.539568404344911.631847978395251.44879289011538
77212240.6646525867541.90044809605836-9.31837135575457-1.73270144066219
78246255.0215904231072.10808433605415-15.53542157050810.582703926374154
79353298.0479370214642.7786612430065133.53988353810661.91459190955744
80339322.191731739683.126775397603285.627138602332060.999631637374403
81308318.2071020976533.01119243954206-6.48576626183923-0.332679073277324
82247279.9130598021122.34574230832444-11.3038571290651-1.93156170988909
83257268.6633523636572.13283511572517-4.55412073425757-0.635395807163381
84322292.2652349090162.4495201731839718.50154240081241.00491203306009
85298301.3303447300212.54234400124423-6.810335860006080.31189484700388
86273292.321220438032.35076099029361-13.3210115344334-0.537101045091351
87312299.5144408294332.43766453038989.994472155533120.223783265141252
88249268.7173585839651.84117040846165-2.53006194609202-1.54393192534501
89286284.8908593101442.09168138887112-6.347912573116790.668829076909777
90279296.472498558572.25353592936102-22.42295181013440.44355462222806
91309288.7875233237612.086470247191125.4004009205498-0.464628484651119
92401345.746603359643.0028222778987526.60791716285962.56506505879654
93309328.5105151965572.66631997809367-8.94644831613826-0.945877619248928
94328334.1901600693022.71594913705953-7.762477358696050.140765447514993
95353350.7815286961462.93935076100176-5.017966740346480.647883293111441
96354344.969117007432.8037177477957313.5985004611518-0.409306096438891
97327338.6761859158812.66534744579877-6.91014435707183-0.427457199409599
98324338.5243760810612.61800057365093-13.0608550206327-0.131138763770716
99285301.4174378151461.91065636613074.05612547758505-1.83929849734853
100243271.7163541247991.34474082533734-12.3723186173988-1.46883100845011
101241258.4477073307551.08744495228566-9.85516488015835-0.681593552823639
102287285.682362374621.53961001926826-12.29958614577281.22137107632634
103355316.6130478044342.0417860272333823.07060611121131.37319892372823
104460380.3274529523413.0884829712019647.53283449244972.88101376058854
105364381.472902868563.05568048574286-16.460526391591-0.0907409183447474
106487446.4753056671044.092053883429438.262384886854412.89151451141658
107452456.1290082712644.18348954930718-7.024229634688450.25952299188642
108391415.1072687324333.45796454306919-0.555288799399896-2.11280922147996
109500463.2470257764124.1714315659374613.40657640120222.09508101260342
110451461.8469370022574.07678242951916-7.95288211440268-0.259522733484155
111375410.0531643878863.08722703831074-6.21821388697954-2.59062547586029
112372393.9299534141842.74451785752794-11.9972737113835-0.892859521340458
113302352.8881731015091.9712737596593-28.1594474017868-2.0415824431476
114316342.7435591582751.76008316566919-20.4409720285249-0.565707861978666
115398366.953221087132.1475785230567319.36170315633841.0484194401036
116394358.8331022088071.9714752922604540.5111046038833-0.479413351774384
117431414.3293056185742.88445877096003-11.18036862295282.49820504864228
118431422.5544386189372.974822165314755.66793733571070.249142532461327

\begin{tabular}{lllllllll}
\hline
Structural Time Series Model \tabularnewline
t & Observed & Level & Slope & Seasonal & Stand. Residuals \tabularnewline
1 & 41 & 41 & 0 & 0 & 0 \tabularnewline
2 & 39 & 39.6062725197977 & -0.0934956285839046 & -0.150496979523337 & -0.0454929310530888 \tabularnewline
3 & 50 & 45.8865137841207 & 0.168773567825354 & 0.917462244075662 & 0.276603553690219 \tabularnewline
4 & 40 & 42.5533003096326 & 0.0830451207493007 & -0.590387017183297 & -0.163036421313483 \tabularnewline
5 & 43 & 42.7077333168369 & 0.084327402165028 & 0.251260155178595 & 0.00337249033740638 \tabularnewline
6 & 38 & 39.9464645156109 & 0.039810974431908 & -0.301446889230147 & -0.134911079003188 \tabularnewline
7 & 44 & 42.2270664718191 & 0.0731375216225285 & 0.475257768324839 & 0.106330927730164 \tabularnewline
8 & 35 & 38.0549155040748 & 0.0109032829643089 & -0.595501467885979 & -0.201468409812978 \tabularnewline
9 & 39 & 38.4845205773286 & 0.0170356648541002 & 0.272937868565391 & 0.0198670790091495 \tabularnewline
10 & 35 & 36.4527709057553 & -0.0130874632592059 & -0.266277515316256 & -0.0971890678417177 \tabularnewline
11 & 29 & 32.0361520101277 & -0.0781853970306136 & -0.486772375520725 & -0.208834276180735 \tabularnewline
12 & 49 & 41.8316716847223 & 0.0686362410896246 & 1.4539153974337 & 0.468120439421502 \tabularnewline
13 & 50 & 45.5092769630382 & -0.170086936481979 & 2.29358401555241 & 0.212822407424729 \tabularnewline
14 & 59 & 54.4586928021289 & 0.110062274358763 & 0.434882809491241 & 0.370559172000182 \tabularnewline
15 & 63 & 59.1546349358807 & 0.225114295103752 & 1.5075624344267 & 0.205165436468391 \tabularnewline
16 & 32 & 44.3738117919015 & -0.0297693250849025 & -4.19834313305727 & -0.701294893289271 \tabularnewline
17 & 39 & 40.471582661632 & -0.0811121462070092 & 0.672857118004556 & -0.182769577524029 \tabularnewline
18 & 47 & 44.2885054857284 & -0.0344405349438455 & 0.544592683671395 & 0.184364268634503 \tabularnewline
19 & 53 & 48.9503669381075 & 0.0202837658265745 & 1.43685675384249 & 0.222199164963241 \tabularnewline
20 & 60 & 55.7889222223497 & 0.0998696007096298 & 0.4178242300536 & 0.322567127734152 \tabularnewline
21 & 57 & 56.5466461518906 & 0.107639587413699 & 0.0874625870840515 & 0.0311159456465922 \tabularnewline
22 & 52 & 53.9264388183302 & 0.0749103827791052 & -0.409741690832726 & -0.128995620173717 \tabularnewline
23 & 70 & 63.5996044622173 & 0.191076778010035 & 1.0651029264376 & 0.453778641902654 \tabularnewline
24 & 90 & 78.4779357537976 & 0.341224788836628 & 3.35098746672066 & 0.693879010290869 \tabularnewline
25 & 74 & 77.9845931691305 & 0.358551902574442 & -3.50667358713208 & -0.0434494769903992 \tabularnewline
26 & 62 & 68.9617350804255 & 0.161672117002985 & -2.33676349221649 & -0.411023666937281 \tabularnewline
27 & 55 & 58.6755995841866 & -0.0616683133468119 & 1.63838135964108 & -0.47256790865218 \tabularnewline
28 & 84 & 74.2063337173065 & 0.198272755212567 & 1.49715224556777 & 0.727529068215614 \tabularnewline
29 & 94 & 85.8309659804886 & 0.356557859123423 & 2.00355988121597 & 0.53775219999863 \tabularnewline
30 & 70 & 77.8594186584311 & 0.250305685178032 & -3.35045311113238 & -0.392655410148743 \tabularnewline
31 & 108 & 93.9638497101366 & 0.448243462712735 & 5.44691466093183 & 0.747680556369907 \tabularnewline
32 & 139 & 119.554512676844 & 0.763162400264038 & 5.82518982322085 & 1.18557901021789 \tabularnewline
33 & 120 & 121.049736067412 & 0.772442796274874 & -1.44620935454273 & 0.0345136916760811 \tabularnewline
34 & 97 & 109.130920223402 & 0.609447196753702 & -5.25934000506185 & -0.598239398690721 \tabularnewline
35 & 126 & 118.681211030174 & 0.72291087618446 & 2.47827420937346 & 0.42132271166793 \tabularnewline
36 & 149 & 134.265116730853 & 0.873727035868574 & 6.68177573798784 & 0.700051592312021 \tabularnewline
37 & 158 & 148.569987095808 & 0.815715968336104 & 1.99817566855766 & 0.666728386686687 \tabularnewline
38 & 124 & 136.204561001398 & 0.584733141803927 & -5.49899269487874 & -0.595814835316965 \tabularnewline
39 & 140 & 138.616016186229 & 0.620968920890996 & 0.454677579377946 & 0.0831735032458432 \tabularnewline
40 & 109 & 122.778112004647 & 0.337980011619326 & -5.14330907616827 & -0.766428294895348 \tabularnewline
41 & 114 & 115.55347055655 & 0.224135353001212 & 2.4636574162304 & -0.354943401099348 \tabularnewline
42 & 77 & 97.7333968476302 & -0.0296015836968441 & -11.1169553430578 & -0.84838777593516 \tabularnewline
43 & 120 & 108.597949408153 & 0.120377356189553 & 5.59232424571726 & 0.512334994614388 \tabularnewline
44 & 133 & 119.459429417231 & 0.268406059952749 & 7.81269415866454 & 0.505091550044813 \tabularnewline
45 & 110 & 114.827227411519 & 0.200263822465222 & -2.21441345616142 & -0.230416521351508 \tabularnewline
46 & 92 & 106.31557880477 & 0.0784495074285591 & -9.67153551917209 & -0.409553236185389 \tabularnewline
47 & 97 & 101.236363929908 & 0.00837419974026841 & -1.48717747751066 & -0.242351512031554 \tabularnewline
48 & 78 & 85.6059478084837 & -0.167378030202246 & 0.735415231902353 & -0.735067229577126 \tabularnewline
49 & 99 & 88.6053485815619 & -0.154029531353034 & 8.67994946753885 & 0.153419443156978 \tabularnewline
50 & 107 & 101.756641494673 & 0.0642110309273865 & -1.61153077225121 & 0.610395137347965 \tabularnewline
51 & 112 & 106.138519206265 & 0.146233137080183 & 3.65927323326931 & 0.197595988420346 \tabularnewline
52 & 90 & 99.4772125365977 & 0.0262247888050417 & -5.93310607481587 & -0.31655926554769 \tabularnewline
53 & 98 & 95.3512438929749 & -0.0405143321347369 & 4.83381752846199 & -0.194451682962181 \tabularnewline
54 & 125 & 118.573698586904 & 0.313339845945864 & -5.85499142466583 & 1.09133941572638 \tabularnewline
55 & 155 & 137.708552760967 & 0.593767389022662 & 7.34806707205896 & 0.883196099801903 \tabularnewline
56 & 190 & 162.735334292057 & 0.95716151477753 & 14.3564580318064 & 1.14644936348405 \tabularnewline
57 & 236 & 204.680660433524 & 1.56961504317511 & 9.66759616204333 & 1.92306182471618 \tabularnewline
58 & 189 & 203.465388670986 & 1.52806869580928 & -12.9944921047265 & -0.130633491522802 \tabularnewline
59 & 174 & 187.424020037102 & 1.27490858718976 & -4.14627184361091 & -0.823649013178864 \tabularnewline
60 & 178 & 182.343299315433 & 1.19505043913963 & -0.985477053172914 & -0.298217234229195 \tabularnewline
61 & 136 & 155.475147202568 & 0.937912427011397 & -4.49003866752401 & -1.3409117064352 \tabularnewline
62 & 161 & 158.932341748875 & 0.978750169932862 & 0.762840514608917 & 0.116438469105081 \tabularnewline
63 & 171 & 162.704442582689 & 1.03038361834278 & 6.86624801209896 & 0.128357267054998 \tabularnewline
64 & 149 & 158.317609803019 & 0.933607555219412 & -6.50847058478486 & -0.251718537627848 \tabularnewline
65 & 184 & 171.991098450984 & 1.14742271941876 & 5.34245358842356 & 0.59565606214084 \tabularnewline
66 & 155 & 169.0097170425 & 1.08105732636782 & -11.842627928412 & -0.19337388109597 \tabularnewline
67 & 276 & 226.585316834824 & 1.9718661204025 & 19.7413801445612 & 2.64660636262013 \tabularnewline
68 & 224 & 225.117946623415 & 1.91786202281052 & 0.688609783262312 & -0.161111471445632 \tabularnewline
69 & 213 & 213.856981919967 & 1.71080241735711 & 6.06500824681364 & -0.617299653637027 \tabularnewline
70 & 279 & 254.618063563868 & 2.3204252925674 & 3.87487431874104 & 1.82859299374303 \tabularnewline
71 & 268 & 265.835549262457 & 2.45477804588897 & -2.50607910116399 & 0.416352074921179 \tabularnewline
72 & 287 & 277.000748703911 & 2.57474120993956 & 5.42439473886019 & 0.408150458200819 \tabularnewline
73 & 238 & 260.905732231546 & 2.34762865032265 & -13.0262558705597 & -0.884727112559617 \tabularnewline
74 & 213 & 234.890192254059 & 1.88377611752829 & -7.16848166460815 & -1.31602561729657 \tabularnewline
75 & 257 & 242.05879890668 & 1.97973879233844 & 12.2290763279447 & 0.243621416491485 \tabularnewline
76 & 293 & 275.226337884075 & 2.53956840434491 & 1.63184797839525 & 1.44879289011538 \tabularnewline
77 & 212 & 240.664652586754 & 1.90044809605836 & -9.31837135575457 & -1.73270144066219 \tabularnewline
78 & 246 & 255.021590423107 & 2.10808433605415 & -15.5354215705081 & 0.582703926374154 \tabularnewline
79 & 353 & 298.047937021464 & 2.77866124300651 & 33.5398835381066 & 1.91459190955744 \tabularnewline
80 & 339 & 322.19173173968 & 3.12677539760328 & 5.62713860233206 & 0.999631637374403 \tabularnewline
81 & 308 & 318.207102097653 & 3.01119243954206 & -6.48576626183923 & -0.332679073277324 \tabularnewline
82 & 247 & 279.913059802112 & 2.34574230832444 & -11.3038571290651 & -1.93156170988909 \tabularnewline
83 & 257 & 268.663352363657 & 2.13283511572517 & -4.55412073425757 & -0.635395807163381 \tabularnewline
84 & 322 & 292.265234909016 & 2.44952017318397 & 18.5015424008124 & 1.00491203306009 \tabularnewline
85 & 298 & 301.330344730021 & 2.54234400124423 & -6.81033586000608 & 0.31189484700388 \tabularnewline
86 & 273 & 292.32122043803 & 2.35076099029361 & -13.3210115344334 & -0.537101045091351 \tabularnewline
87 & 312 & 299.514440829433 & 2.4376645303898 & 9.99447215553312 & 0.223783265141252 \tabularnewline
88 & 249 & 268.717358583965 & 1.84117040846165 & -2.53006194609202 & -1.54393192534501 \tabularnewline
89 & 286 & 284.890859310144 & 2.09168138887112 & -6.34791257311679 & 0.668829076909777 \tabularnewline
90 & 279 & 296.47249855857 & 2.25353592936102 & -22.4229518101344 & 0.44355462222806 \tabularnewline
91 & 309 & 288.787523323761 & 2.0864702471911 & 25.4004009205498 & -0.464628484651119 \tabularnewline
92 & 401 & 345.74660335964 & 3.00282227789875 & 26.6079171628596 & 2.56506505879654 \tabularnewline
93 & 309 & 328.510515196557 & 2.66631997809367 & -8.94644831613826 & -0.945877619248928 \tabularnewline
94 & 328 & 334.190160069302 & 2.71594913705953 & -7.76247735869605 & 0.140765447514993 \tabularnewline
95 & 353 & 350.781528696146 & 2.93935076100176 & -5.01796674034648 & 0.647883293111441 \tabularnewline
96 & 354 & 344.96911700743 & 2.80371774779573 & 13.5985004611518 & -0.409306096438891 \tabularnewline
97 & 327 & 338.676185915881 & 2.66534744579877 & -6.91014435707183 & -0.427457199409599 \tabularnewline
98 & 324 & 338.524376081061 & 2.61800057365093 & -13.0608550206327 & -0.131138763770716 \tabularnewline
99 & 285 & 301.417437815146 & 1.9106563661307 & 4.05612547758505 & -1.83929849734853 \tabularnewline
100 & 243 & 271.716354124799 & 1.34474082533734 & -12.3723186173988 & -1.46883100845011 \tabularnewline
101 & 241 & 258.447707330755 & 1.08744495228566 & -9.85516488015835 & -0.681593552823639 \tabularnewline
102 & 287 & 285.68236237462 & 1.53961001926826 & -12.2995861457728 & 1.22137107632634 \tabularnewline
103 & 355 & 316.613047804434 & 2.04178602723338 & 23.0706061112113 & 1.37319892372823 \tabularnewline
104 & 460 & 380.327452952341 & 3.08848297120196 & 47.5328344924497 & 2.88101376058854 \tabularnewline
105 & 364 & 381.47290286856 & 3.05568048574286 & -16.460526391591 & -0.0907409183447474 \tabularnewline
106 & 487 & 446.475305667104 & 4.09205388342943 & 8.26238488685441 & 2.89151451141658 \tabularnewline
107 & 452 & 456.129008271264 & 4.18348954930718 & -7.02422963468845 & 0.25952299188642 \tabularnewline
108 & 391 & 415.107268732433 & 3.45796454306919 & -0.555288799399896 & -2.11280922147996 \tabularnewline
109 & 500 & 463.247025776412 & 4.17143156593746 & 13.4065764012022 & 2.09508101260342 \tabularnewline
110 & 451 & 461.846937002257 & 4.07678242951916 & -7.95288211440268 & -0.259522733484155 \tabularnewline
111 & 375 & 410.053164387886 & 3.08722703831074 & -6.21821388697954 & -2.59062547586029 \tabularnewline
112 & 372 & 393.929953414184 & 2.74451785752794 & -11.9972737113835 & -0.892859521340458 \tabularnewline
113 & 302 & 352.888173101509 & 1.9712737596593 & -28.1594474017868 & -2.0415824431476 \tabularnewline
114 & 316 & 342.743559158275 & 1.76008316566919 & -20.4409720285249 & -0.565707861978666 \tabularnewline
115 & 398 & 366.95322108713 & 2.14757852305673 & 19.3617031563384 & 1.0484194401036 \tabularnewline
116 & 394 & 358.833102208807 & 1.97147529226045 & 40.5111046038833 & -0.479413351774384 \tabularnewline
117 & 431 & 414.329305618574 & 2.88445877096003 & -11.1803686229528 & 2.49820504864228 \tabularnewline
118 & 431 & 422.554438618937 & 2.97482216531475 & 5.6679373357107 & 0.249142532461327 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=225738&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]41[/C][C]41[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]39[/C][C]39.6062725197977[/C][C]-0.0934956285839046[/C][C]-0.150496979523337[/C][C]-0.0454929310530888[/C][/ROW]
[ROW][C]3[/C][C]50[/C][C]45.8865137841207[/C][C]0.168773567825354[/C][C]0.917462244075662[/C][C]0.276603553690219[/C][/ROW]
[ROW][C]4[/C][C]40[/C][C]42.5533003096326[/C][C]0.0830451207493007[/C][C]-0.590387017183297[/C][C]-0.163036421313483[/C][/ROW]
[ROW][C]5[/C][C]43[/C][C]42.7077333168369[/C][C]0.084327402165028[/C][C]0.251260155178595[/C][C]0.00337249033740638[/C][/ROW]
[ROW][C]6[/C][C]38[/C][C]39.9464645156109[/C][C]0.039810974431908[/C][C]-0.301446889230147[/C][C]-0.134911079003188[/C][/ROW]
[ROW][C]7[/C][C]44[/C][C]42.2270664718191[/C][C]0.0731375216225285[/C][C]0.475257768324839[/C][C]0.106330927730164[/C][/ROW]
[ROW][C]8[/C][C]35[/C][C]38.0549155040748[/C][C]0.0109032829643089[/C][C]-0.595501467885979[/C][C]-0.201468409812978[/C][/ROW]
[ROW][C]9[/C][C]39[/C][C]38.4845205773286[/C][C]0.0170356648541002[/C][C]0.272937868565391[/C][C]0.0198670790091495[/C][/ROW]
[ROW][C]10[/C][C]35[/C][C]36.4527709057553[/C][C]-0.0130874632592059[/C][C]-0.266277515316256[/C][C]-0.0971890678417177[/C][/ROW]
[ROW][C]11[/C][C]29[/C][C]32.0361520101277[/C][C]-0.0781853970306136[/C][C]-0.486772375520725[/C][C]-0.208834276180735[/C][/ROW]
[ROW][C]12[/C][C]49[/C][C]41.8316716847223[/C][C]0.0686362410896246[/C][C]1.4539153974337[/C][C]0.468120439421502[/C][/ROW]
[ROW][C]13[/C][C]50[/C][C]45.5092769630382[/C][C]-0.170086936481979[/C][C]2.29358401555241[/C][C]0.212822407424729[/C][/ROW]
[ROW][C]14[/C][C]59[/C][C]54.4586928021289[/C][C]0.110062274358763[/C][C]0.434882809491241[/C][C]0.370559172000182[/C][/ROW]
[ROW][C]15[/C][C]63[/C][C]59.1546349358807[/C][C]0.225114295103752[/C][C]1.5075624344267[/C][C]0.205165436468391[/C][/ROW]
[ROW][C]16[/C][C]32[/C][C]44.3738117919015[/C][C]-0.0297693250849025[/C][C]-4.19834313305727[/C][C]-0.701294893289271[/C][/ROW]
[ROW][C]17[/C][C]39[/C][C]40.471582661632[/C][C]-0.0811121462070092[/C][C]0.672857118004556[/C][C]-0.182769577524029[/C][/ROW]
[ROW][C]18[/C][C]47[/C][C]44.2885054857284[/C][C]-0.0344405349438455[/C][C]0.544592683671395[/C][C]0.184364268634503[/C][/ROW]
[ROW][C]19[/C][C]53[/C][C]48.9503669381075[/C][C]0.0202837658265745[/C][C]1.43685675384249[/C][C]0.222199164963241[/C][/ROW]
[ROW][C]20[/C][C]60[/C][C]55.7889222223497[/C][C]0.0998696007096298[/C][C]0.4178242300536[/C][C]0.322567127734152[/C][/ROW]
[ROW][C]21[/C][C]57[/C][C]56.5466461518906[/C][C]0.107639587413699[/C][C]0.0874625870840515[/C][C]0.0311159456465922[/C][/ROW]
[ROW][C]22[/C][C]52[/C][C]53.9264388183302[/C][C]0.0749103827791052[/C][C]-0.409741690832726[/C][C]-0.128995620173717[/C][/ROW]
[ROW][C]23[/C][C]70[/C][C]63.5996044622173[/C][C]0.191076778010035[/C][C]1.0651029264376[/C][C]0.453778641902654[/C][/ROW]
[ROW][C]24[/C][C]90[/C][C]78.4779357537976[/C][C]0.341224788836628[/C][C]3.35098746672066[/C][C]0.693879010290869[/C][/ROW]
[ROW][C]25[/C][C]74[/C][C]77.9845931691305[/C][C]0.358551902574442[/C][C]-3.50667358713208[/C][C]-0.0434494769903992[/C][/ROW]
[ROW][C]26[/C][C]62[/C][C]68.9617350804255[/C][C]0.161672117002985[/C][C]-2.33676349221649[/C][C]-0.411023666937281[/C][/ROW]
[ROW][C]27[/C][C]55[/C][C]58.6755995841866[/C][C]-0.0616683133468119[/C][C]1.63838135964108[/C][C]-0.47256790865218[/C][/ROW]
[ROW][C]28[/C][C]84[/C][C]74.2063337173065[/C][C]0.198272755212567[/C][C]1.49715224556777[/C][C]0.727529068215614[/C][/ROW]
[ROW][C]29[/C][C]94[/C][C]85.8309659804886[/C][C]0.356557859123423[/C][C]2.00355988121597[/C][C]0.53775219999863[/C][/ROW]
[ROW][C]30[/C][C]70[/C][C]77.8594186584311[/C][C]0.250305685178032[/C][C]-3.35045311113238[/C][C]-0.392655410148743[/C][/ROW]
[ROW][C]31[/C][C]108[/C][C]93.9638497101366[/C][C]0.448243462712735[/C][C]5.44691466093183[/C][C]0.747680556369907[/C][/ROW]
[ROW][C]32[/C][C]139[/C][C]119.554512676844[/C][C]0.763162400264038[/C][C]5.82518982322085[/C][C]1.18557901021789[/C][/ROW]
[ROW][C]33[/C][C]120[/C][C]121.049736067412[/C][C]0.772442796274874[/C][C]-1.44620935454273[/C][C]0.0345136916760811[/C][/ROW]
[ROW][C]34[/C][C]97[/C][C]109.130920223402[/C][C]0.609447196753702[/C][C]-5.25934000506185[/C][C]-0.598239398690721[/C][/ROW]
[ROW][C]35[/C][C]126[/C][C]118.681211030174[/C][C]0.72291087618446[/C][C]2.47827420937346[/C][C]0.42132271166793[/C][/ROW]
[ROW][C]36[/C][C]149[/C][C]134.265116730853[/C][C]0.873727035868574[/C][C]6.68177573798784[/C][C]0.700051592312021[/C][/ROW]
[ROW][C]37[/C][C]158[/C][C]148.569987095808[/C][C]0.815715968336104[/C][C]1.99817566855766[/C][C]0.666728386686687[/C][/ROW]
[ROW][C]38[/C][C]124[/C][C]136.204561001398[/C][C]0.584733141803927[/C][C]-5.49899269487874[/C][C]-0.595814835316965[/C][/ROW]
[ROW][C]39[/C][C]140[/C][C]138.616016186229[/C][C]0.620968920890996[/C][C]0.454677579377946[/C][C]0.0831735032458432[/C][/ROW]
[ROW][C]40[/C][C]109[/C][C]122.778112004647[/C][C]0.337980011619326[/C][C]-5.14330907616827[/C][C]-0.766428294895348[/C][/ROW]
[ROW][C]41[/C][C]114[/C][C]115.55347055655[/C][C]0.224135353001212[/C][C]2.4636574162304[/C][C]-0.354943401099348[/C][/ROW]
[ROW][C]42[/C][C]77[/C][C]97.7333968476302[/C][C]-0.0296015836968441[/C][C]-11.1169553430578[/C][C]-0.84838777593516[/C][/ROW]
[ROW][C]43[/C][C]120[/C][C]108.597949408153[/C][C]0.120377356189553[/C][C]5.59232424571726[/C][C]0.512334994614388[/C][/ROW]
[ROW][C]44[/C][C]133[/C][C]119.459429417231[/C][C]0.268406059952749[/C][C]7.81269415866454[/C][C]0.505091550044813[/C][/ROW]
[ROW][C]45[/C][C]110[/C][C]114.827227411519[/C][C]0.200263822465222[/C][C]-2.21441345616142[/C][C]-0.230416521351508[/C][/ROW]
[ROW][C]46[/C][C]92[/C][C]106.31557880477[/C][C]0.0784495074285591[/C][C]-9.67153551917209[/C][C]-0.409553236185389[/C][/ROW]
[ROW][C]47[/C][C]97[/C][C]101.236363929908[/C][C]0.00837419974026841[/C][C]-1.48717747751066[/C][C]-0.242351512031554[/C][/ROW]
[ROW][C]48[/C][C]78[/C][C]85.6059478084837[/C][C]-0.167378030202246[/C][C]0.735415231902353[/C][C]-0.735067229577126[/C][/ROW]
[ROW][C]49[/C][C]99[/C][C]88.6053485815619[/C][C]-0.154029531353034[/C][C]8.67994946753885[/C][C]0.153419443156978[/C][/ROW]
[ROW][C]50[/C][C]107[/C][C]101.756641494673[/C][C]0.0642110309273865[/C][C]-1.61153077225121[/C][C]0.610395137347965[/C][/ROW]
[ROW][C]51[/C][C]112[/C][C]106.138519206265[/C][C]0.146233137080183[/C][C]3.65927323326931[/C][C]0.197595988420346[/C][/ROW]
[ROW][C]52[/C][C]90[/C][C]99.4772125365977[/C][C]0.0262247888050417[/C][C]-5.93310607481587[/C][C]-0.31655926554769[/C][/ROW]
[ROW][C]53[/C][C]98[/C][C]95.3512438929749[/C][C]-0.0405143321347369[/C][C]4.83381752846199[/C][C]-0.194451682962181[/C][/ROW]
[ROW][C]54[/C][C]125[/C][C]118.573698586904[/C][C]0.313339845945864[/C][C]-5.85499142466583[/C][C]1.09133941572638[/C][/ROW]
[ROW][C]55[/C][C]155[/C][C]137.708552760967[/C][C]0.593767389022662[/C][C]7.34806707205896[/C][C]0.883196099801903[/C][/ROW]
[ROW][C]56[/C][C]190[/C][C]162.735334292057[/C][C]0.95716151477753[/C][C]14.3564580318064[/C][C]1.14644936348405[/C][/ROW]
[ROW][C]57[/C][C]236[/C][C]204.680660433524[/C][C]1.56961504317511[/C][C]9.66759616204333[/C][C]1.92306182471618[/C][/ROW]
[ROW][C]58[/C][C]189[/C][C]203.465388670986[/C][C]1.52806869580928[/C][C]-12.9944921047265[/C][C]-0.130633491522802[/C][/ROW]
[ROW][C]59[/C][C]174[/C][C]187.424020037102[/C][C]1.27490858718976[/C][C]-4.14627184361091[/C][C]-0.823649013178864[/C][/ROW]
[ROW][C]60[/C][C]178[/C][C]182.343299315433[/C][C]1.19505043913963[/C][C]-0.985477053172914[/C][C]-0.298217234229195[/C][/ROW]
[ROW][C]61[/C][C]136[/C][C]155.475147202568[/C][C]0.937912427011397[/C][C]-4.49003866752401[/C][C]-1.3409117064352[/C][/ROW]
[ROW][C]62[/C][C]161[/C][C]158.932341748875[/C][C]0.978750169932862[/C][C]0.762840514608917[/C][C]0.116438469105081[/C][/ROW]
[ROW][C]63[/C][C]171[/C][C]162.704442582689[/C][C]1.03038361834278[/C][C]6.86624801209896[/C][C]0.128357267054998[/C][/ROW]
[ROW][C]64[/C][C]149[/C][C]158.317609803019[/C][C]0.933607555219412[/C][C]-6.50847058478486[/C][C]-0.251718537627848[/C][/ROW]
[ROW][C]65[/C][C]184[/C][C]171.991098450984[/C][C]1.14742271941876[/C][C]5.34245358842356[/C][C]0.59565606214084[/C][/ROW]
[ROW][C]66[/C][C]155[/C][C]169.0097170425[/C][C]1.08105732636782[/C][C]-11.842627928412[/C][C]-0.19337388109597[/C][/ROW]
[ROW][C]67[/C][C]276[/C][C]226.585316834824[/C][C]1.9718661204025[/C][C]19.7413801445612[/C][C]2.64660636262013[/C][/ROW]
[ROW][C]68[/C][C]224[/C][C]225.117946623415[/C][C]1.91786202281052[/C][C]0.688609783262312[/C][C]-0.161111471445632[/C][/ROW]
[ROW][C]69[/C][C]213[/C][C]213.856981919967[/C][C]1.71080241735711[/C][C]6.06500824681364[/C][C]-0.617299653637027[/C][/ROW]
[ROW][C]70[/C][C]279[/C][C]254.618063563868[/C][C]2.3204252925674[/C][C]3.87487431874104[/C][C]1.82859299374303[/C][/ROW]
[ROW][C]71[/C][C]268[/C][C]265.835549262457[/C][C]2.45477804588897[/C][C]-2.50607910116399[/C][C]0.416352074921179[/C][/ROW]
[ROW][C]72[/C][C]287[/C][C]277.000748703911[/C][C]2.57474120993956[/C][C]5.42439473886019[/C][C]0.408150458200819[/C][/ROW]
[ROW][C]73[/C][C]238[/C][C]260.905732231546[/C][C]2.34762865032265[/C][C]-13.0262558705597[/C][C]-0.884727112559617[/C][/ROW]
[ROW][C]74[/C][C]213[/C][C]234.890192254059[/C][C]1.88377611752829[/C][C]-7.16848166460815[/C][C]-1.31602561729657[/C][/ROW]
[ROW][C]75[/C][C]257[/C][C]242.05879890668[/C][C]1.97973879233844[/C][C]12.2290763279447[/C][C]0.243621416491485[/C][/ROW]
[ROW][C]76[/C][C]293[/C][C]275.226337884075[/C][C]2.53956840434491[/C][C]1.63184797839525[/C][C]1.44879289011538[/C][/ROW]
[ROW][C]77[/C][C]212[/C][C]240.664652586754[/C][C]1.90044809605836[/C][C]-9.31837135575457[/C][C]-1.73270144066219[/C][/ROW]
[ROW][C]78[/C][C]246[/C][C]255.021590423107[/C][C]2.10808433605415[/C][C]-15.5354215705081[/C][C]0.582703926374154[/C][/ROW]
[ROW][C]79[/C][C]353[/C][C]298.047937021464[/C][C]2.77866124300651[/C][C]33.5398835381066[/C][C]1.91459190955744[/C][/ROW]
[ROW][C]80[/C][C]339[/C][C]322.19173173968[/C][C]3.12677539760328[/C][C]5.62713860233206[/C][C]0.999631637374403[/C][/ROW]
[ROW][C]81[/C][C]308[/C][C]318.207102097653[/C][C]3.01119243954206[/C][C]-6.48576626183923[/C][C]-0.332679073277324[/C][/ROW]
[ROW][C]82[/C][C]247[/C][C]279.913059802112[/C][C]2.34574230832444[/C][C]-11.3038571290651[/C][C]-1.93156170988909[/C][/ROW]
[ROW][C]83[/C][C]257[/C][C]268.663352363657[/C][C]2.13283511572517[/C][C]-4.55412073425757[/C][C]-0.635395807163381[/C][/ROW]
[ROW][C]84[/C][C]322[/C][C]292.265234909016[/C][C]2.44952017318397[/C][C]18.5015424008124[/C][C]1.00491203306009[/C][/ROW]
[ROW][C]85[/C][C]298[/C][C]301.330344730021[/C][C]2.54234400124423[/C][C]-6.81033586000608[/C][C]0.31189484700388[/C][/ROW]
[ROW][C]86[/C][C]273[/C][C]292.32122043803[/C][C]2.35076099029361[/C][C]-13.3210115344334[/C][C]-0.537101045091351[/C][/ROW]
[ROW][C]87[/C][C]312[/C][C]299.514440829433[/C][C]2.4376645303898[/C][C]9.99447215553312[/C][C]0.223783265141252[/C][/ROW]
[ROW][C]88[/C][C]249[/C][C]268.717358583965[/C][C]1.84117040846165[/C][C]-2.53006194609202[/C][C]-1.54393192534501[/C][/ROW]
[ROW][C]89[/C][C]286[/C][C]284.890859310144[/C][C]2.09168138887112[/C][C]-6.34791257311679[/C][C]0.668829076909777[/C][/ROW]
[ROW][C]90[/C][C]279[/C][C]296.47249855857[/C][C]2.25353592936102[/C][C]-22.4229518101344[/C][C]0.44355462222806[/C][/ROW]
[ROW][C]91[/C][C]309[/C][C]288.787523323761[/C][C]2.0864702471911[/C][C]25.4004009205498[/C][C]-0.464628484651119[/C][/ROW]
[ROW][C]92[/C][C]401[/C][C]345.74660335964[/C][C]3.00282227789875[/C][C]26.6079171628596[/C][C]2.56506505879654[/C][/ROW]
[ROW][C]93[/C][C]309[/C][C]328.510515196557[/C][C]2.66631997809367[/C][C]-8.94644831613826[/C][C]-0.945877619248928[/C][/ROW]
[ROW][C]94[/C][C]328[/C][C]334.190160069302[/C][C]2.71594913705953[/C][C]-7.76247735869605[/C][C]0.140765447514993[/C][/ROW]
[ROW][C]95[/C][C]353[/C][C]350.781528696146[/C][C]2.93935076100176[/C][C]-5.01796674034648[/C][C]0.647883293111441[/C][/ROW]
[ROW][C]96[/C][C]354[/C][C]344.96911700743[/C][C]2.80371774779573[/C][C]13.5985004611518[/C][C]-0.409306096438891[/C][/ROW]
[ROW][C]97[/C][C]327[/C][C]338.676185915881[/C][C]2.66534744579877[/C][C]-6.91014435707183[/C][C]-0.427457199409599[/C][/ROW]
[ROW][C]98[/C][C]324[/C][C]338.524376081061[/C][C]2.61800057365093[/C][C]-13.0608550206327[/C][C]-0.131138763770716[/C][/ROW]
[ROW][C]99[/C][C]285[/C][C]301.417437815146[/C][C]1.9106563661307[/C][C]4.05612547758505[/C][C]-1.83929849734853[/C][/ROW]
[ROW][C]100[/C][C]243[/C][C]271.716354124799[/C][C]1.34474082533734[/C][C]-12.3723186173988[/C][C]-1.46883100845011[/C][/ROW]
[ROW][C]101[/C][C]241[/C][C]258.447707330755[/C][C]1.08744495228566[/C][C]-9.85516488015835[/C][C]-0.681593552823639[/C][/ROW]
[ROW][C]102[/C][C]287[/C][C]285.68236237462[/C][C]1.53961001926826[/C][C]-12.2995861457728[/C][C]1.22137107632634[/C][/ROW]
[ROW][C]103[/C][C]355[/C][C]316.613047804434[/C][C]2.04178602723338[/C][C]23.0706061112113[/C][C]1.37319892372823[/C][/ROW]
[ROW][C]104[/C][C]460[/C][C]380.327452952341[/C][C]3.08848297120196[/C][C]47.5328344924497[/C][C]2.88101376058854[/C][/ROW]
[ROW][C]105[/C][C]364[/C][C]381.47290286856[/C][C]3.05568048574286[/C][C]-16.460526391591[/C][C]-0.0907409183447474[/C][/ROW]
[ROW][C]106[/C][C]487[/C][C]446.475305667104[/C][C]4.09205388342943[/C][C]8.26238488685441[/C][C]2.89151451141658[/C][/ROW]
[ROW][C]107[/C][C]452[/C][C]456.129008271264[/C][C]4.18348954930718[/C][C]-7.02422963468845[/C][C]0.25952299188642[/C][/ROW]
[ROW][C]108[/C][C]391[/C][C]415.107268732433[/C][C]3.45796454306919[/C][C]-0.555288799399896[/C][C]-2.11280922147996[/C][/ROW]
[ROW][C]109[/C][C]500[/C][C]463.247025776412[/C][C]4.17143156593746[/C][C]13.4065764012022[/C][C]2.09508101260342[/C][/ROW]
[ROW][C]110[/C][C]451[/C][C]461.846937002257[/C][C]4.07678242951916[/C][C]-7.95288211440268[/C][C]-0.259522733484155[/C][/ROW]
[ROW][C]111[/C][C]375[/C][C]410.053164387886[/C][C]3.08722703831074[/C][C]-6.21821388697954[/C][C]-2.59062547586029[/C][/ROW]
[ROW][C]112[/C][C]372[/C][C]393.929953414184[/C][C]2.74451785752794[/C][C]-11.9972737113835[/C][C]-0.892859521340458[/C][/ROW]
[ROW][C]113[/C][C]302[/C][C]352.888173101509[/C][C]1.9712737596593[/C][C]-28.1594474017868[/C][C]-2.0415824431476[/C][/ROW]
[ROW][C]114[/C][C]316[/C][C]342.743559158275[/C][C]1.76008316566919[/C][C]-20.4409720285249[/C][C]-0.565707861978666[/C][/ROW]
[ROW][C]115[/C][C]398[/C][C]366.95322108713[/C][C]2.14757852305673[/C][C]19.3617031563384[/C][C]1.0484194401036[/C][/ROW]
[ROW][C]116[/C][C]394[/C][C]358.833102208807[/C][C]1.97147529226045[/C][C]40.5111046038833[/C][C]-0.479413351774384[/C][/ROW]
[ROW][C]117[/C][C]431[/C][C]414.329305618574[/C][C]2.88445877096003[/C][C]-11.1803686229528[/C][C]2.49820504864228[/C][/ROW]
[ROW][C]118[/C][C]431[/C][C]422.554438618937[/C][C]2.97482216531475[/C][C]5.6679373357107[/C][C]0.249142532461327[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=225738&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=225738&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
tObservedLevelSlopeSeasonalStand. Residuals
14141000
23939.6062725197977-0.0934956285839046-0.150496979523337-0.0454929310530888
35045.88651378412070.1687735678253540.9174622440756620.276603553690219
44042.55330030963260.0830451207493007-0.590387017183297-0.163036421313483
54342.70773331683690.0843274021650280.2512601551785950.00337249033740638
63839.94646451561090.039810974431908-0.301446889230147-0.134911079003188
74442.22706647181910.07313752162252850.4752577683248390.106330927730164
83538.05491550407480.0109032829643089-0.595501467885979-0.201468409812978
93938.48452057732860.01703566485410020.2729378685653910.0198670790091495
103536.4527709057553-0.0130874632592059-0.266277515316256-0.0971890678417177
112932.0361520101277-0.0781853970306136-0.486772375520725-0.208834276180735
124941.83167168472230.06863624108962461.45391539743370.468120439421502
135045.5092769630382-0.1700869364819792.293584015552410.212822407424729
145954.45869280212890.1100622743587630.4348828094912410.370559172000182
156359.15463493588070.2251142951037521.50756243442670.205165436468391
163244.3738117919015-0.0297693250849025-4.19834313305727-0.701294893289271
173940.471582661632-0.08111214620700920.672857118004556-0.182769577524029
184744.2885054857284-0.03444053494384550.5445926836713950.184364268634503
195348.95036693810750.02028376582657451.436856753842490.222199164963241
206055.78892222234970.09986960070962980.41782423005360.322567127734152
215756.54664615189060.1076395874136990.08746258708405150.0311159456465922
225253.92643881833020.0749103827791052-0.409741690832726-0.128995620173717
237063.59960446221730.1910767780100351.06510292643760.453778641902654
249078.47793575379760.3412247888366283.350987466720660.693879010290869
257477.98459316913050.358551902574442-3.50667358713208-0.0434494769903992
266268.96173508042550.161672117002985-2.33676349221649-0.411023666937281
275558.6755995841866-0.06166831334681191.63838135964108-0.47256790865218
288474.20633371730650.1982727552125671.497152245567770.727529068215614
299485.83096598048860.3565578591234232.003559881215970.53775219999863
307077.85941865843110.250305685178032-3.35045311113238-0.392655410148743
3110893.96384971013660.4482434627127355.446914660931830.747680556369907
32139119.5545126768440.7631624002640385.825189823220851.18557901021789
33120121.0497360674120.772442796274874-1.446209354542730.0345136916760811
3497109.1309202234020.609447196753702-5.25934000506185-0.598239398690721
35126118.6812110301740.722910876184462.478274209373460.42132271166793
36149134.2651167308530.8737270358685746.681775737987840.700051592312021
37158148.5699870958080.8157159683361041.998175668557660.666728386686687
38124136.2045610013980.584733141803927-5.49899269487874-0.595814835316965
39140138.6160161862290.6209689208909960.4546775793779460.0831735032458432
40109122.7781120046470.337980011619326-5.14330907616827-0.766428294895348
41114115.553470556550.2241353530012122.4636574162304-0.354943401099348
427797.7333968476302-0.0296015836968441-11.1169553430578-0.84838777593516
43120108.5979494081530.1203773561895535.592324245717260.512334994614388
44133119.4594294172310.2684060599527497.812694158664540.505091550044813
45110114.8272274115190.200263822465222-2.21441345616142-0.230416521351508
4692106.315578804770.0784495074285591-9.67153551917209-0.409553236185389
4797101.2363639299080.00837419974026841-1.48717747751066-0.242351512031554
487885.6059478084837-0.1673780302022460.735415231902353-0.735067229577126
499988.6053485815619-0.1540295313530348.679949467538850.153419443156978
50107101.7566414946730.0642110309273865-1.611530772251210.610395137347965
51112106.1385192062650.1462331370801833.659273233269310.197595988420346
529099.47721253659770.0262247888050417-5.93310607481587-0.31655926554769
539895.3512438929749-0.04051433213473694.83381752846199-0.194451682962181
54125118.5736985869040.313339845945864-5.854991424665831.09133941572638
55155137.7085527609670.5937673890226627.348067072058960.883196099801903
56190162.7353342920570.9571615147775314.35645803180641.14644936348405
57236204.6806604335241.569615043175119.667596162043331.92306182471618
58189203.4653886709861.52806869580928-12.9944921047265-0.130633491522802
59174187.4240200371021.27490858718976-4.14627184361091-0.823649013178864
60178182.3432993154331.19505043913963-0.985477053172914-0.298217234229195
61136155.4751472025680.937912427011397-4.49003866752401-1.3409117064352
62161158.9323417488750.9787501699328620.7628405146089170.116438469105081
63171162.7044425826891.030383618342786.866248012098960.128357267054998
64149158.3176098030190.933607555219412-6.50847058478486-0.251718537627848
65184171.9910984509841.147422719418765.342453588423560.59565606214084
66155169.00971704251.08105732636782-11.842627928412-0.19337388109597
67276226.5853168348241.971866120402519.74138014456122.64660636262013
68224225.1179466234151.917862022810520.688609783262312-0.161111471445632
69213213.8569819199671.710802417357116.06500824681364-0.617299653637027
70279254.6180635638682.32042529256743.874874318741041.82859299374303
71268265.8355492624572.45477804588897-2.506079101163990.416352074921179
72287277.0007487039112.574741209939565.424394738860190.408150458200819
73238260.9057322315462.34762865032265-13.0262558705597-0.884727112559617
74213234.8901922540591.88377611752829-7.16848166460815-1.31602561729657
75257242.058798906681.9797387923384412.22907632794470.243621416491485
76293275.2263378840752.539568404344911.631847978395251.44879289011538
77212240.6646525867541.90044809605836-9.31837135575457-1.73270144066219
78246255.0215904231072.10808433605415-15.53542157050810.582703926374154
79353298.0479370214642.7786612430065133.53988353810661.91459190955744
80339322.191731739683.126775397603285.627138602332060.999631637374403
81308318.2071020976533.01119243954206-6.48576626183923-0.332679073277324
82247279.9130598021122.34574230832444-11.3038571290651-1.93156170988909
83257268.6633523636572.13283511572517-4.55412073425757-0.635395807163381
84322292.2652349090162.4495201731839718.50154240081241.00491203306009
85298301.3303447300212.54234400124423-6.810335860006080.31189484700388
86273292.321220438032.35076099029361-13.3210115344334-0.537101045091351
87312299.5144408294332.43766453038989.994472155533120.223783265141252
88249268.7173585839651.84117040846165-2.53006194609202-1.54393192534501
89286284.8908593101442.09168138887112-6.347912573116790.668829076909777
90279296.472498558572.25353592936102-22.42295181013440.44355462222806
91309288.7875233237612.086470247191125.4004009205498-0.464628484651119
92401345.746603359643.0028222778987526.60791716285962.56506505879654
93309328.5105151965572.66631997809367-8.94644831613826-0.945877619248928
94328334.1901600693022.71594913705953-7.762477358696050.140765447514993
95353350.7815286961462.93935076100176-5.017966740346480.647883293111441
96354344.969117007432.8037177477957313.5985004611518-0.409306096438891
97327338.6761859158812.66534744579877-6.91014435707183-0.427457199409599
98324338.5243760810612.61800057365093-13.0608550206327-0.131138763770716
99285301.4174378151461.91065636613074.05612547758505-1.83929849734853
100243271.7163541247991.34474082533734-12.3723186173988-1.46883100845011
101241258.4477073307551.08744495228566-9.85516488015835-0.681593552823639
102287285.682362374621.53961001926826-12.29958614577281.22137107632634
103355316.6130478044342.0417860272333823.07060611121131.37319892372823
104460380.3274529523413.0884829712019647.53283449244972.88101376058854
105364381.472902868563.05568048574286-16.460526391591-0.0907409183447474
106487446.4753056671044.092053883429438.262384886854412.89151451141658
107452456.1290082712644.18348954930718-7.024229634688450.25952299188642
108391415.1072687324333.45796454306919-0.555288799399896-2.11280922147996
109500463.2470257764124.1714315659374613.40657640120222.09508101260342
110451461.8469370022574.07678242951916-7.95288211440268-0.259522733484155
111375410.0531643878863.08722703831074-6.21821388697954-2.59062547586029
112372393.9299534141842.74451785752794-11.9972737113835-0.892859521340458
113302352.8881731015091.9712737596593-28.1594474017868-2.0415824431476
114316342.7435591582751.76008316566919-20.4409720285249-0.565707861978666
115398366.953221087132.1475785230567319.36170315633841.0484194401036
116394358.8331022088071.9714752922604540.5111046038833-0.479413351774384
117431414.3293056185742.88445877096003-11.18036862295282.49820504864228
118431422.5544386189372.974822165314755.66793733571070.249142532461327



Parameters (Session):
par1 = 12 ;
Parameters (R input):
par1 = 12 ;
R code (references can be found in the software module):
par1 <- as.numeric(par1)
nx <- length(x)
x <- ts(x,frequency=par1)
m <- StructTS(x,type='BSM')
m$coef
m$fitted
m$resid
mylevel <- as.numeric(m$fitted[,'level'])
myslope <- as.numeric(m$fitted[,'slope'])
myseas <- as.numeric(m$fitted[,'sea'])
myresid <- as.numeric(m$resid)
myfit <- mylevel+myseas
mylagmax <- nx/2
bitmap(file='test2.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(x),lag.max = mylagmax,main='Observed')
acf(mylevel,na.action=na.pass,lag.max = mylagmax,main='Level')
acf(myseas,na.action=na.pass,lag.max = mylagmax,main='Seasonal')
acf(myresid,na.action=na.pass,lag.max = mylagmax,main='Standardized Residals')
par(op)
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
spectrum(as.numeric(x),main='Observed')
spectrum(mylevel,main='Level')
spectrum(myseas,main='Seasonal')
spectrum(myresid,main='Standardized Residals')
par(op)
dev.off()
bitmap(file='test4.png')
op <- par(mfrow = c(2,2))
cpgram(as.numeric(x),main='Observed')
cpgram(mylevel,main='Level')
cpgram(myseas,main='Seasonal')
cpgram(myresid,main='Standardized Residals')
par(op)
dev.off()
bitmap(file='test1.png')
plot(as.numeric(m$resid),main='Standardized Residuals',ylab='Residuals',xlab='time',type='b')
grid()
dev.off()
bitmap(file='test5.png')
op <- par(mfrow = c(2,2))
hist(m$resid,main='Residual Histogram')
plot(density(m$resid),main='Residual Kernel Density')
qqnorm(m$resid,main='Residual Normal QQ Plot')
qqline(m$resid)
plot(m$resid^2, myfit^2,main='Sq.Resid vs. Sq.Fit',xlab='Squared residuals',ylab='Squared Fit')
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Structural Time Series Model',6,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Observed',header=TRUE)
a<-table.element(a,'Level',header=TRUE)
a<-table.element(a,'Slope',header=TRUE)
a<-table.element(a,'Seasonal',header=TRUE)
a<-table.element(a,'Stand. Residuals',header=TRUE)
a<-table.row.end(a)
for (i in 1:nx) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
a<-table.element(a,mylevel[i])
a<-table.element(a,myslope[i])
a<-table.element(a,myseas[i])
a<-table.element(a,myresid[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')