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Author*The author of this computation has been verified*
R Software Modulerwasp_structuraltimeseries.wasp
Title produced by softwareStructural Time Series Models
Date of computationFri, 24 Dec 2010 11:10:31 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Dec/24/t1293188893qoxsjx76i8i2w2u.htm/, Retrieved Tue, 30 Apr 2024 01:56:22 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=114764, Retrieved Tue, 30 Apr 2024 01:56:22 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact115
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Data Series] [] [2008-12-08 19:22:39] [d2d412c7f4d35ffbf5ee5ee89db327d4]
- RMP   [ARIMA Forecasting] [] [2010-12-14 14:23:29] [abe7df3fc544bbb0ed435b4e9982bc91]
- RMPD      [Structural Time Series Models] [] [2010-12-24 11:10:31] [29eeba0e6ce2cd83aa315a4a7ff8c4aa] [Current]
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Dataseries X:
6.4
7.7
9.2
8.6
7.4
8.6
6.2
6
6.6
5.1
4.7
5
3.6
1.9
-0.1
-5.7
-5.6
-6.4
-7.7
-8
-11.9
-15.4
-15.5
-13.4
-10.9
-10.8
-7.3
-6.5
-5.1
-5.3
-6.8
-8.4
-8.4
-9.7
-8.8
-9.6
-11.5
-11
-14.9
-16.2
-14.4
-17.3
-15.7
-12.6
-9.4
-8.1
-5.4
-4.6
-4.9
-4
-3.1
-1.3
0
-0.4
3
0.4
1.2
0.6
-1.3
-3.2
-1.8
-3.6
-4.2
-6.9
-8
-7.5
-8.2
-7.6
-3.7
-1.7
-0.7
0.2
0.6
2.2
3.3
5.3
5.5
6.3
7.7
6.5
5.5
6.9
5.7
6.9
6.1
4.8
3.7
5.8
6.8
8.5
7.2
5
4.7
2.3
2.4
0.1
1.9
1.7
2
-1.9
0.5
-1.3
-3.3
-2.8
-8
-13.9
-21.9
-28.8
-27.6
-31.4
-31.8
-29.4
-27.6
-23.6
-22.8
-18.2
-17.8
-14.2
-8.8
-7.9
-7
-7
-3.6
-2.4
-4.9
-7.7
-6.5
-5.1
-3.4
-2.8
0.8




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time4 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 4 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=114764&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]4 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=114764&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=114764&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 time4 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24







Structural Time Series Model
tObservedLevelSlopeSeasonalStand. Residuals
16.46.4000
27.77.603802757261530.1887969340208550.06046627218901260.466507988564282
39.29.073122032211130.6624066158636850.05618727981487490.667912037000793
48.68.596320437772910.1931580211046940.0613129984471699-0.567268451881281
57.47.40350209897595-0.3946414878460670.065088302310559-0.682808893518477
68.68.465473510978070.2288674767659280.06286374815294740.715807502377138
76.26.2549116996384-0.8186085457940430.0649266987924918-1.19824534535687
865.91193627672651-0.6141453088836270.0647045034891170.233638492231172
96.66.4776540500291-0.1067295425569450.06440019985151750.579627784896738
105.15.09794107320545-0.6542939737078850.0645814307154015-0.625427000041763
114.74.62645397989651-0.5756542751330320.06456706576667650.0898193447160561
1254.894050215296-0.2128904392433950.06453049320170870.41433150710664
133.64.41941638597563-0.321731944507249-0.806996822707501-0.146992399363553
141.91.94423572821245-1.166950005926840.0252698381774235-0.859979170687236
15-0.1-0.0842640279499554-1.538701627977550.0264650527868505-0.422438482659356
16-5.7-5.54233803705323-3.227355523385090.0339688449372715-1.91944138627479
17-5.6-5.77719360453071-1.939964503434600.03051485660602181.46797129717789
18-6.4-6.48994660682633-1.412154206732730.02972272732008240.602529673355523
19-7.7-7.73773419040903-1.341458636511390.02966404489161830.0807321861188502
20-8-8.0786051773133-0.9110598611893040.02946679766242500.491555539518069
21-11.9-11.7921291628312-2.116607893045960.0297717431203848-1.37689374777000
22-15.4-15.3586430154831-2.740346295605830.0298588226819208-0.712398115841548
23-15.5-15.6500661745556-1.686812232556420.02977764541773581.20328967775168
24-13.4-13.6126428638747-0.08461217852941460.02970950985896941.82994803291517
25-10.9-11.14478798551620.996119280065350.1214257645168361.34374156542834
26-10.8-10.75691756284090.74932618665675-0.0198529805423151-0.263981665850402
27-7.3-7.405387031395351.87099634543777-0.02220138777817091.27687557708577
28-6.5-6.434824931213061.48324423571604-0.0210785320077307-0.441486069015543
29-5.1-5.07305425820741.43098513410308-0.0209872059809898-0.0596236445878037
30-5.3-5.203040780639690.759558706338779-0.0203309687623448-0.766613257124456
31-6.8-6.67081129725204-0.198519468904899-0.0198130799609372-1.09415555439157
32-8.4-8.30963366552282-0.818095593866202-0.0196281757747800-0.707625438290224
33-8.4-8.41531298878417-0.511621850147074-0.01967865827060160.350034921944936
34-9.7-9.64507536418977-0.820566533582286-0.0196505713794382-0.352859384354870
35-8.8-8.85922137387733-0.129471846451820-0.01968524764864850.789331377077581
36-9.6-9.55262130986432-0.372080371855951-0.0196785291527574-0.277094646228957
37-11.5-11.4645305222624-1.027672832399630.0393711461505852-0.792636157370212
38-11-11.0700274898158-0.4415884792916590.01167377408605230.639489607250994
39-14.9-14.7547535956884-1.838834179781830.0138428778402815-1.59194703226260
40-16.2-16.2312655516052-1.682846617782300.01350784815095480.177747857925857
41-14.4-14.5754730317516-0.2465255659995610.01164659307836601.63918703337121
42-17.3-17.1958359423766-1.267643940405840.0123865771590610-1.16598052847565
43-15.7-15.8407370743436-0.1394323252265270.01193441092179281.28848712795872
44-12.6-12.76932999226751.241815061142540.01162878379440681.57755207633975
45-9.4-9.510589798426972.109488807202510.01152281664406220.991004475837045
46-8.1-8.078280009862631.818163001234350.0115424533582531-0.332736332175885
47-5.4-5.451260392250422.166141339264180.01152950800709920.397442330178966
48-4.6-4.549437147576561.622215110419740.0115406759396499-0.621243858109478
49-4.9-4.554596184180160.927487517029764-0.266092189475626-0.828188779853126
50-4-4.004845294825080.7704093954528610.0209746348785859-0.173226027416277
51-3.1-3.126226730710450.8170156323545330.02091714488599010.0531274699942224
52-1.3-1.366451141803791.222835185306080.02022445426493590.462652015815929
530-0.02594752558238561.273457629814660.02017232873103140.0577817943494162
54-0.4-0.3424928284049640.5894895172285660.0205661624114972-0.781039579130078
5532.851860320288301.710038001519360.02020933193595841.27975514218800
560.40.575296522978114-0.004956923857749810.0205108441102944-1.95874147957381
571.21.150992646220190.2448403249556920.02048660462572790.285303719235541
580.60.61771612671021-0.08991133371508980.0205045326871962-0.382335122732968
59-1.3-1.23398772886313-0.8478548077616570.0205269363545627-0.86568279589298
60-3.2-3.16722049849946-1.31479947875590.0205345539667284-0.533319603492941
61-1.8-1.87838109882391-0.201540844111999-0.04871420064517821.31588969490328
62-3.6-3.53065180587113-0.808379388946135-0.00580922992567405-0.673673904938567
63-4.2-4.20090852513943-0.74890075762594-0.005870094713753140.0678235527845756
64-6.9-6.8043007852979-1.54710687156649-0.00473969329204041-0.910275862911133
65-8-8.01180559335525-1.40100553141641-0.004864498688495220.166781878100931
66-7.5-7.58453842785194-0.614526156320503-0.00524018155112360.898129607462122
67-8.2-8.19496089869986-0.612760822486348-0.00524064789960850.00201617163498521
68-7.6-7.65147812230554-0.115351409309629-0.005313192825612750.568106331057676
69-3.7-3.885212663675721.55453302835629-0.00544761556649531.90724555060352
70-1.7-1.724324727224331.81539239647266-0.00545920514125370.297939456533914
71-0.7-0.657765924107321.49323486413477-0.00545130561555192-0.367951261981779
720.20.2349457066627051.23488112582282-0.00544780923576579-0.295078037120003
730.60.6287067662469880.8748603695363940.0123957376526022-0.423138823595452
742.22.167529299387671.153750519000220.002874442914521120.311009825169212
753.33.298247391024861.143833612916130.00288311403698353-0.0113109255236458
765.35.257536344872121.494796236146180.002458421753121930.400327640454205
775.55.555901120927050.9800748421353970.00283410273423844-0.587624661311565
786.36.308306298478080.8821354259867090.00287407409679779-0.111845741912317
797.77.673450068245161.089919595197740.00282717653001320.237310113945621
806.56.6031612731210.1606031508152460.00294297685934762-1.06140274669048
815.55.55632935643467-0.3588417975254060.00297870238945125-0.593280414062778
826.96.817474359245320.3380930251284860.002952247499402950.796001409494349
835.75.76532419435288-0.2600077924556360.00296477775202967-0.683119102364486
846.96.831880503066280.3106996535462610.00295817887423910.651832008419736
856.16.22203474826827-0.0836096247457896-0.0770170873189704-0.461557479171838
864.84.85757010912065-0.6232800855593360.000266148029649547-0.603802782043617
873.73.72458667079312-0.8427169560347240.000433622957724666-0.250327105928739
885.85.664306528584940.354751222629176-0.000831318129472011.36612622875762
896.86.764440575036780.675425527135285-0.001035625040191380.366114277832437
908.58.451509377230331.11062083145818-0.001190663616023160.496997040758866
917.27.31153852209490.142435951647924-0.000999916560964622-1.10576904094341
9255.11573987125026-0.863472666927765-0.000890504386909045-1.14888306271052
934.74.67989671006126-0.679503564105113-0.0009015488539624550.210119128910024
942.32.38044988431253-1.37642103009318-0.000878457159913245-0.795981706860443
952.42.33548739493846-0.803609500005544-0.0008889322510694890.654235046842367
960.10.167882985706366-1.39042059718936-0.000883009609001514-0.670224760732735
971.91.6303092091751-0.1677464994624560.1300987964108661.42683113296707
981.71.69989710663353-0.0675107301982554-0.01072019242212560.112427027807016
9921.993116510202880.0877780811394915-0.01082534324043140.177173005894065
100-1.9-1.70492141531801-1.54144713198587-0.0092983155039725-1.85893342897724
1010.50.334360818407338-0.000965313993765508-0.01016911618991851.75884763074481
102-1.3-1.21404532145824-0.666658797649266-0.0099587058193209-0.760238463763401
103-3.3-3.22415734074427-1.24460451343108-0.00985768242098883-0.660077593260864
104-2.8-2.86866966417225-0.556241754926039-0.009924111661472530.786203940181916
105-8-7.77643154268564-2.42830007254806-0.00982439818146275-2.13816020857631
106-13.9-13.7176648624865-3.93960502580483-0.00977996973532293-1.72613156774375
107-21.9-21.6920583157117-5.67542725072353-0.00975180628492066-1.98256444882152
108-28.8-28.7236386049055-6.25886493865877-0.00974658176728158-0.66637183746955
109-27.6-28.2858563707992-3.387581872793460.3580413814078613.34275537022097
110-31.4-31.3820633686062-3.26428959234133-0.03132819632140160.138558280510251
111-31.8-31.9026538566709-2.08324356300299-0.03204688740164831.34763206552816
112-29.4-29.5824666239146-0.188287265384134-0.033643053728542.16235231560535
113-27.6-27.66909077215450.715879249778494-0.03410236894629831.03236986409788
114-23.6-23.72409080657542.10502331968948-0.0344969493846071.58645424436042
115-22.8-22.71190083863241.63489029055794-0.0344230995358375-0.536945429063395
116-18.2-18.30178816724652.82880052969295-0.03452663927322151.3636093379913
117-17.8-17.65818262248201.88871040748318-0.0344816408484821-1.07371864079225
118-14.2-14.24059927300862.54645022223412-0.03449901711338640.751235256601043
119-8.8-8.902604958025853.74741223008509-0.03451652779898821.37167540268165
120-7.9-7.738594569926472.63599299167445-0.0345075839822455-1.26940460288320
121-7-7.20577546358481.733918510372150.308766062995488-1.04819861025028
122-7-6.900422726037321.12850359708754-0.0335042709891022-0.681448877892028
123-3.6-3.669231258540142.03357490008093-0.03400435152442781.03282265515809
124-2.4-2.332045030495571.73390120246519-0.033775148349878-0.341989071353872
125-4.9-4.66722987456049-0.0166804985108977-0.0329676766363624-1.99885703693101
126-7.7-7.5276828892239-1.24005692541326-0.0326521565820421-1.39715383747115
127-6.5-6.57491771303776-0.296708522388085-0.03278670491970321.07741417012446
128-5.1-5.151638602804770.443238211371043-0.03284497060186950.84512141448727
129-3.4-3.429929151936020.993248742588917-0.03286887488409180.628191590146622
130-2.8-2.751662431234230.857739494663727-0.0328656243997475-0.154771431141281
1310.80.7052101529453841.97592417743159-0.03288042789457581.27713154190420

\begin{tabular}{lllllllll}
\hline
Structural Time Series Model \tabularnewline
t & Observed & Level & Slope & Seasonal & Stand. Residuals \tabularnewline
1 & 6.4 & 6.4 & 0 & 0 & 0 \tabularnewline
2 & 7.7 & 7.60380275726153 & 0.188796934020855 & 0.0604662721890126 & 0.466507988564282 \tabularnewline
3 & 9.2 & 9.07312203221113 & 0.662406615863685 & 0.0561872798148749 & 0.667912037000793 \tabularnewline
4 & 8.6 & 8.59632043777291 & 0.193158021104694 & 0.0613129984471699 & -0.567268451881281 \tabularnewline
5 & 7.4 & 7.40350209897595 & -0.394641487846067 & 0.065088302310559 & -0.682808893518477 \tabularnewline
6 & 8.6 & 8.46547351097807 & 0.228867476765928 & 0.0628637481529474 & 0.715807502377138 \tabularnewline
7 & 6.2 & 6.2549116996384 & -0.818608545794043 & 0.0649266987924918 & -1.19824534535687 \tabularnewline
8 & 6 & 5.91193627672651 & -0.614145308883627 & 0.064704503489117 & 0.233638492231172 \tabularnewline
9 & 6.6 & 6.4776540500291 & -0.106729542556945 & 0.0644001998515175 & 0.579627784896738 \tabularnewline
10 & 5.1 & 5.09794107320545 & -0.654293973707885 & 0.0645814307154015 & -0.625427000041763 \tabularnewline
11 & 4.7 & 4.62645397989651 & -0.575654275133032 & 0.0645670657666765 & 0.0898193447160561 \tabularnewline
12 & 5 & 4.894050215296 & -0.212890439243395 & 0.0645304932017087 & 0.41433150710664 \tabularnewline
13 & 3.6 & 4.41941638597563 & -0.321731944507249 & -0.806996822707501 & -0.146992399363553 \tabularnewline
14 & 1.9 & 1.94423572821245 & -1.16695000592684 & 0.0252698381774235 & -0.859979170687236 \tabularnewline
15 & -0.1 & -0.0842640279499554 & -1.53870162797755 & 0.0264650527868505 & -0.422438482659356 \tabularnewline
16 & -5.7 & -5.54233803705323 & -3.22735552338509 & 0.0339688449372715 & -1.91944138627479 \tabularnewline
17 & -5.6 & -5.77719360453071 & -1.93996450343460 & 0.0305148566060218 & 1.46797129717789 \tabularnewline
18 & -6.4 & -6.48994660682633 & -1.41215420673273 & 0.0297227273200824 & 0.602529673355523 \tabularnewline
19 & -7.7 & -7.73773419040903 & -1.34145863651139 & 0.0296640448916183 & 0.0807321861188502 \tabularnewline
20 & -8 & -8.0786051773133 & -0.911059861189304 & 0.0294667976624250 & 0.491555539518069 \tabularnewline
21 & -11.9 & -11.7921291628312 & -2.11660789304596 & 0.0297717431203848 & -1.37689374777000 \tabularnewline
22 & -15.4 & -15.3586430154831 & -2.74034629560583 & 0.0298588226819208 & -0.712398115841548 \tabularnewline
23 & -15.5 & -15.6500661745556 & -1.68681223255642 & 0.0297776454177358 & 1.20328967775168 \tabularnewline
24 & -13.4 & -13.6126428638747 & -0.0846121785294146 & 0.0297095098589694 & 1.82994803291517 \tabularnewline
25 & -10.9 & -11.1447879855162 & 0.99611928006535 & 0.121425764516836 & 1.34374156542834 \tabularnewline
26 & -10.8 & -10.7569175628409 & 0.74932618665675 & -0.0198529805423151 & -0.263981665850402 \tabularnewline
27 & -7.3 & -7.40538703139535 & 1.87099634543777 & -0.0222013877781709 & 1.27687557708577 \tabularnewline
28 & -6.5 & -6.43482493121306 & 1.48324423571604 & -0.0210785320077307 & -0.441486069015543 \tabularnewline
29 & -5.1 & -5.0730542582074 & 1.43098513410308 & -0.0209872059809898 & -0.0596236445878037 \tabularnewline
30 & -5.3 & -5.20304078063969 & 0.759558706338779 & -0.0203309687623448 & -0.766613257124456 \tabularnewline
31 & -6.8 & -6.67081129725204 & -0.198519468904899 & -0.0198130799609372 & -1.09415555439157 \tabularnewline
32 & -8.4 & -8.30963366552282 & -0.818095593866202 & -0.0196281757747800 & -0.707625438290224 \tabularnewline
33 & -8.4 & -8.41531298878417 & -0.511621850147074 & -0.0196786582706016 & 0.350034921944936 \tabularnewline
34 & -9.7 & -9.64507536418977 & -0.820566533582286 & -0.0196505713794382 & -0.352859384354870 \tabularnewline
35 & -8.8 & -8.85922137387733 & -0.129471846451820 & -0.0196852476486485 & 0.789331377077581 \tabularnewline
36 & -9.6 & -9.55262130986432 & -0.372080371855951 & -0.0196785291527574 & -0.277094646228957 \tabularnewline
37 & -11.5 & -11.4645305222624 & -1.02767283239963 & 0.0393711461505852 & -0.792636157370212 \tabularnewline
38 & -11 & -11.0700274898158 & -0.441588479291659 & 0.0116737740860523 & 0.639489607250994 \tabularnewline
39 & -14.9 & -14.7547535956884 & -1.83883417978183 & 0.0138428778402815 & -1.59194703226260 \tabularnewline
40 & -16.2 & -16.2312655516052 & -1.68284661778230 & 0.0135078481509548 & 0.177747857925857 \tabularnewline
41 & -14.4 & -14.5754730317516 & -0.246525565999561 & 0.0116465930783660 & 1.63918703337121 \tabularnewline
42 & -17.3 & -17.1958359423766 & -1.26764394040584 & 0.0123865771590610 & -1.16598052847565 \tabularnewline
43 & -15.7 & -15.8407370743436 & -0.139432325226527 & 0.0119344109217928 & 1.28848712795872 \tabularnewline
44 & -12.6 & -12.7693299922675 & 1.24181506114254 & 0.0116287837944068 & 1.57755207633975 \tabularnewline
45 & -9.4 & -9.51058979842697 & 2.10948880720251 & 0.0115228166440622 & 0.991004475837045 \tabularnewline
46 & -8.1 & -8.07828000986263 & 1.81816300123435 & 0.0115424533582531 & -0.332736332175885 \tabularnewline
47 & -5.4 & -5.45126039225042 & 2.16614133926418 & 0.0115295080070992 & 0.397442330178966 \tabularnewline
48 & -4.6 & -4.54943714757656 & 1.62221511041974 & 0.0115406759396499 & -0.621243858109478 \tabularnewline
49 & -4.9 & -4.55459618418016 & 0.927487517029764 & -0.266092189475626 & -0.828188779853126 \tabularnewline
50 & -4 & -4.00484529482508 & 0.770409395452861 & 0.0209746348785859 & -0.173226027416277 \tabularnewline
51 & -3.1 & -3.12622673071045 & 0.817015632354533 & 0.0209171448859901 & 0.0531274699942224 \tabularnewline
52 & -1.3 & -1.36645114180379 & 1.22283518530608 & 0.0202244542649359 & 0.462652015815929 \tabularnewline
53 & 0 & -0.0259475255823856 & 1.27345762981466 & 0.0201723287310314 & 0.0577817943494162 \tabularnewline
54 & -0.4 & -0.342492828404964 & 0.589489517228566 & 0.0205661624114972 & -0.781039579130078 \tabularnewline
55 & 3 & 2.85186032028830 & 1.71003800151936 & 0.0202093319359584 & 1.27975514218800 \tabularnewline
56 & 0.4 & 0.575296522978114 & -0.00495692385774981 & 0.0205108441102944 & -1.95874147957381 \tabularnewline
57 & 1.2 & 1.15099264622019 & 0.244840324955692 & 0.0204866046257279 & 0.285303719235541 \tabularnewline
58 & 0.6 & 0.61771612671021 & -0.0899113337150898 & 0.0205045326871962 & -0.382335122732968 \tabularnewline
59 & -1.3 & -1.23398772886313 & -0.847854807761657 & 0.0205269363545627 & -0.86568279589298 \tabularnewline
60 & -3.2 & -3.16722049849946 & -1.3147994787559 & 0.0205345539667284 & -0.533319603492941 \tabularnewline
61 & -1.8 & -1.87838109882391 & -0.201540844111999 & -0.0487142006451782 & 1.31588969490328 \tabularnewline
62 & -3.6 & -3.53065180587113 & -0.808379388946135 & -0.00580922992567405 & -0.673673904938567 \tabularnewline
63 & -4.2 & -4.20090852513943 & -0.74890075762594 & -0.00587009471375314 & 0.0678235527845756 \tabularnewline
64 & -6.9 & -6.8043007852979 & -1.54710687156649 & -0.00473969329204041 & -0.910275862911133 \tabularnewline
65 & -8 & -8.01180559335525 & -1.40100553141641 & -0.00486449868849522 & 0.166781878100931 \tabularnewline
66 & -7.5 & -7.58453842785194 & -0.614526156320503 & -0.0052401815511236 & 0.898129607462122 \tabularnewline
67 & -8.2 & -8.19496089869986 & -0.612760822486348 & -0.0052406478996085 & 0.00201617163498521 \tabularnewline
68 & -7.6 & -7.65147812230554 & -0.115351409309629 & -0.00531319282561275 & 0.568106331057676 \tabularnewline
69 & -3.7 & -3.88521266367572 & 1.55453302835629 & -0.0054476155664953 & 1.90724555060352 \tabularnewline
70 & -1.7 & -1.72432472722433 & 1.81539239647266 & -0.0054592051412537 & 0.297939456533914 \tabularnewline
71 & -0.7 & -0.65776592410732 & 1.49323486413477 & -0.00545130561555192 & -0.367951261981779 \tabularnewline
72 & 0.2 & 0.234945706662705 & 1.23488112582282 & -0.00544780923576579 & -0.295078037120003 \tabularnewline
73 & 0.6 & 0.628706766246988 & 0.874860369536394 & 0.0123957376526022 & -0.423138823595452 \tabularnewline
74 & 2.2 & 2.16752929938767 & 1.15375051900022 & 0.00287444291452112 & 0.311009825169212 \tabularnewline
75 & 3.3 & 3.29824739102486 & 1.14383361291613 & 0.00288311403698353 & -0.0113109255236458 \tabularnewline
76 & 5.3 & 5.25753634487212 & 1.49479623614618 & 0.00245842175312193 & 0.400327640454205 \tabularnewline
77 & 5.5 & 5.55590112092705 & 0.980074842135397 & 0.00283410273423844 & -0.587624661311565 \tabularnewline
78 & 6.3 & 6.30830629847808 & 0.882135425986709 & 0.00287407409679779 & -0.111845741912317 \tabularnewline
79 & 7.7 & 7.67345006824516 & 1.08991959519774 & 0.0028271765300132 & 0.237310113945621 \tabularnewline
80 & 6.5 & 6.603161273121 & 0.160603150815246 & 0.00294297685934762 & -1.06140274669048 \tabularnewline
81 & 5.5 & 5.55632935643467 & -0.358841797525406 & 0.00297870238945125 & -0.593280414062778 \tabularnewline
82 & 6.9 & 6.81747435924532 & 0.338093025128486 & 0.00295224749940295 & 0.796001409494349 \tabularnewline
83 & 5.7 & 5.76532419435288 & -0.260007792455636 & 0.00296477775202967 & -0.683119102364486 \tabularnewline
84 & 6.9 & 6.83188050306628 & 0.310699653546261 & 0.0029581788742391 & 0.651832008419736 \tabularnewline
85 & 6.1 & 6.22203474826827 & -0.0836096247457896 & -0.0770170873189704 & -0.461557479171838 \tabularnewline
86 & 4.8 & 4.85757010912065 & -0.623280085559336 & 0.000266148029649547 & -0.603802782043617 \tabularnewline
87 & 3.7 & 3.72458667079312 & -0.842716956034724 & 0.000433622957724666 & -0.250327105928739 \tabularnewline
88 & 5.8 & 5.66430652858494 & 0.354751222629176 & -0.00083131812947201 & 1.36612622875762 \tabularnewline
89 & 6.8 & 6.76444057503678 & 0.675425527135285 & -0.00103562504019138 & 0.366114277832437 \tabularnewline
90 & 8.5 & 8.45150937723033 & 1.11062083145818 & -0.00119066361602316 & 0.496997040758866 \tabularnewline
91 & 7.2 & 7.3115385220949 & 0.142435951647924 & -0.000999916560964622 & -1.10576904094341 \tabularnewline
92 & 5 & 5.11573987125026 & -0.863472666927765 & -0.000890504386909045 & -1.14888306271052 \tabularnewline
93 & 4.7 & 4.67989671006126 & -0.679503564105113 & -0.000901548853962455 & 0.210119128910024 \tabularnewline
94 & 2.3 & 2.38044988431253 & -1.37642103009318 & -0.000878457159913245 & -0.795981706860443 \tabularnewline
95 & 2.4 & 2.33548739493846 & -0.803609500005544 & -0.000888932251069489 & 0.654235046842367 \tabularnewline
96 & 0.1 & 0.167882985706366 & -1.39042059718936 & -0.000883009609001514 & -0.670224760732735 \tabularnewline
97 & 1.9 & 1.6303092091751 & -0.167746499462456 & 0.130098796410866 & 1.42683113296707 \tabularnewline
98 & 1.7 & 1.69989710663353 & -0.0675107301982554 & -0.0107201924221256 & 0.112427027807016 \tabularnewline
99 & 2 & 1.99311651020288 & 0.0877780811394915 & -0.0108253432404314 & 0.177173005894065 \tabularnewline
100 & -1.9 & -1.70492141531801 & -1.54144713198587 & -0.0092983155039725 & -1.85893342897724 \tabularnewline
101 & 0.5 & 0.334360818407338 & -0.000965313993765508 & -0.0101691161899185 & 1.75884763074481 \tabularnewline
102 & -1.3 & -1.21404532145824 & -0.666658797649266 & -0.0099587058193209 & -0.760238463763401 \tabularnewline
103 & -3.3 & -3.22415734074427 & -1.24460451343108 & -0.00985768242098883 & -0.660077593260864 \tabularnewline
104 & -2.8 & -2.86866966417225 & -0.556241754926039 & -0.00992411166147253 & 0.786203940181916 \tabularnewline
105 & -8 & -7.77643154268564 & -2.42830007254806 & -0.00982439818146275 & -2.13816020857631 \tabularnewline
106 & -13.9 & -13.7176648624865 & -3.93960502580483 & -0.00977996973532293 & -1.72613156774375 \tabularnewline
107 & -21.9 & -21.6920583157117 & -5.67542725072353 & -0.00975180628492066 & -1.98256444882152 \tabularnewline
108 & -28.8 & -28.7236386049055 & -6.25886493865877 & -0.00974658176728158 & -0.66637183746955 \tabularnewline
109 & -27.6 & -28.2858563707992 & -3.38758187279346 & 0.358041381407861 & 3.34275537022097 \tabularnewline
110 & -31.4 & -31.3820633686062 & -3.26428959234133 & -0.0313281963214016 & 0.138558280510251 \tabularnewline
111 & -31.8 & -31.9026538566709 & -2.08324356300299 & -0.0320468874016483 & 1.34763206552816 \tabularnewline
112 & -29.4 & -29.5824666239146 & -0.188287265384134 & -0.03364305372854 & 2.16235231560535 \tabularnewline
113 & -27.6 & -27.6690907721545 & 0.715879249778494 & -0.0341023689462983 & 1.03236986409788 \tabularnewline
114 & -23.6 & -23.7240908065754 & 2.10502331968948 & -0.034496949384607 & 1.58645424436042 \tabularnewline
115 & -22.8 & -22.7119008386324 & 1.63489029055794 & -0.0344230995358375 & -0.536945429063395 \tabularnewline
116 & -18.2 & -18.3017881672465 & 2.82880052969295 & -0.0345266392732215 & 1.3636093379913 \tabularnewline
117 & -17.8 & -17.6581826224820 & 1.88871040748318 & -0.0344816408484821 & -1.07371864079225 \tabularnewline
118 & -14.2 & -14.2405992730086 & 2.54645022223412 & -0.0344990171133864 & 0.751235256601043 \tabularnewline
119 & -8.8 & -8.90260495802585 & 3.74741223008509 & -0.0345165277989882 & 1.37167540268165 \tabularnewline
120 & -7.9 & -7.73859456992647 & 2.63599299167445 & -0.0345075839822455 & -1.26940460288320 \tabularnewline
121 & -7 & -7.2057754635848 & 1.73391851037215 & 0.308766062995488 & -1.04819861025028 \tabularnewline
122 & -7 & -6.90042272603732 & 1.12850359708754 & -0.0335042709891022 & -0.681448877892028 \tabularnewline
123 & -3.6 & -3.66923125854014 & 2.03357490008093 & -0.0340043515244278 & 1.03282265515809 \tabularnewline
124 & -2.4 & -2.33204503049557 & 1.73390120246519 & -0.033775148349878 & -0.341989071353872 \tabularnewline
125 & -4.9 & -4.66722987456049 & -0.0166804985108977 & -0.0329676766363624 & -1.99885703693101 \tabularnewline
126 & -7.7 & -7.5276828892239 & -1.24005692541326 & -0.0326521565820421 & -1.39715383747115 \tabularnewline
127 & -6.5 & -6.57491771303776 & -0.296708522388085 & -0.0327867049197032 & 1.07741417012446 \tabularnewline
128 & -5.1 & -5.15163860280477 & 0.443238211371043 & -0.0328449706018695 & 0.84512141448727 \tabularnewline
129 & -3.4 & -3.42992915193602 & 0.993248742588917 & -0.0328688748840918 & 0.628191590146622 \tabularnewline
130 & -2.8 & -2.75166243123423 & 0.857739494663727 & -0.0328656243997475 & -0.154771431141281 \tabularnewline
131 & 0.8 & 0.705210152945384 & 1.97592417743159 & -0.0328804278945758 & 1.27713154190420 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=114764&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]6.4[/C][C]6.4[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]7.7[/C][C]7.60380275726153[/C][C]0.188796934020855[/C][C]0.0604662721890126[/C][C]0.466507988564282[/C][/ROW]
[ROW][C]3[/C][C]9.2[/C][C]9.07312203221113[/C][C]0.662406615863685[/C][C]0.0561872798148749[/C][C]0.667912037000793[/C][/ROW]
[ROW][C]4[/C][C]8.6[/C][C]8.59632043777291[/C][C]0.193158021104694[/C][C]0.0613129984471699[/C][C]-0.567268451881281[/C][/ROW]
[ROW][C]5[/C][C]7.4[/C][C]7.40350209897595[/C][C]-0.394641487846067[/C][C]0.065088302310559[/C][C]-0.682808893518477[/C][/ROW]
[ROW][C]6[/C][C]8.6[/C][C]8.46547351097807[/C][C]0.228867476765928[/C][C]0.0628637481529474[/C][C]0.715807502377138[/C][/ROW]
[ROW][C]7[/C][C]6.2[/C][C]6.2549116996384[/C][C]-0.818608545794043[/C][C]0.0649266987924918[/C][C]-1.19824534535687[/C][/ROW]
[ROW][C]8[/C][C]6[/C][C]5.91193627672651[/C][C]-0.614145308883627[/C][C]0.064704503489117[/C][C]0.233638492231172[/C][/ROW]
[ROW][C]9[/C][C]6.6[/C][C]6.4776540500291[/C][C]-0.106729542556945[/C][C]0.0644001998515175[/C][C]0.579627784896738[/C][/ROW]
[ROW][C]10[/C][C]5.1[/C][C]5.09794107320545[/C][C]-0.654293973707885[/C][C]0.0645814307154015[/C][C]-0.625427000041763[/C][/ROW]
[ROW][C]11[/C][C]4.7[/C][C]4.62645397989651[/C][C]-0.575654275133032[/C][C]0.0645670657666765[/C][C]0.0898193447160561[/C][/ROW]
[ROW][C]12[/C][C]5[/C][C]4.894050215296[/C][C]-0.212890439243395[/C][C]0.0645304932017087[/C][C]0.41433150710664[/C][/ROW]
[ROW][C]13[/C][C]3.6[/C][C]4.41941638597563[/C][C]-0.321731944507249[/C][C]-0.806996822707501[/C][C]-0.146992399363553[/C][/ROW]
[ROW][C]14[/C][C]1.9[/C][C]1.94423572821245[/C][C]-1.16695000592684[/C][C]0.0252698381774235[/C][C]-0.859979170687236[/C][/ROW]
[ROW][C]15[/C][C]-0.1[/C][C]-0.0842640279499554[/C][C]-1.53870162797755[/C][C]0.0264650527868505[/C][C]-0.422438482659356[/C][/ROW]
[ROW][C]16[/C][C]-5.7[/C][C]-5.54233803705323[/C][C]-3.22735552338509[/C][C]0.0339688449372715[/C][C]-1.91944138627479[/C][/ROW]
[ROW][C]17[/C][C]-5.6[/C][C]-5.77719360453071[/C][C]-1.93996450343460[/C][C]0.0305148566060218[/C][C]1.46797129717789[/C][/ROW]
[ROW][C]18[/C][C]-6.4[/C][C]-6.48994660682633[/C][C]-1.41215420673273[/C][C]0.0297227273200824[/C][C]0.602529673355523[/C][/ROW]
[ROW][C]19[/C][C]-7.7[/C][C]-7.73773419040903[/C][C]-1.34145863651139[/C][C]0.0296640448916183[/C][C]0.0807321861188502[/C][/ROW]
[ROW][C]20[/C][C]-8[/C][C]-8.0786051773133[/C][C]-0.911059861189304[/C][C]0.0294667976624250[/C][C]0.491555539518069[/C][/ROW]
[ROW][C]21[/C][C]-11.9[/C][C]-11.7921291628312[/C][C]-2.11660789304596[/C][C]0.0297717431203848[/C][C]-1.37689374777000[/C][/ROW]
[ROW][C]22[/C][C]-15.4[/C][C]-15.3586430154831[/C][C]-2.74034629560583[/C][C]0.0298588226819208[/C][C]-0.712398115841548[/C][/ROW]
[ROW][C]23[/C][C]-15.5[/C][C]-15.6500661745556[/C][C]-1.68681223255642[/C][C]0.0297776454177358[/C][C]1.20328967775168[/C][/ROW]
[ROW][C]24[/C][C]-13.4[/C][C]-13.6126428638747[/C][C]-0.0846121785294146[/C][C]0.0297095098589694[/C][C]1.82994803291517[/C][/ROW]
[ROW][C]25[/C][C]-10.9[/C][C]-11.1447879855162[/C][C]0.99611928006535[/C][C]0.121425764516836[/C][C]1.34374156542834[/C][/ROW]
[ROW][C]26[/C][C]-10.8[/C][C]-10.7569175628409[/C][C]0.74932618665675[/C][C]-0.0198529805423151[/C][C]-0.263981665850402[/C][/ROW]
[ROW][C]27[/C][C]-7.3[/C][C]-7.40538703139535[/C][C]1.87099634543777[/C][C]-0.0222013877781709[/C][C]1.27687557708577[/C][/ROW]
[ROW][C]28[/C][C]-6.5[/C][C]-6.43482493121306[/C][C]1.48324423571604[/C][C]-0.0210785320077307[/C][C]-0.441486069015543[/C][/ROW]
[ROW][C]29[/C][C]-5.1[/C][C]-5.0730542582074[/C][C]1.43098513410308[/C][C]-0.0209872059809898[/C][C]-0.0596236445878037[/C][/ROW]
[ROW][C]30[/C][C]-5.3[/C][C]-5.20304078063969[/C][C]0.759558706338779[/C][C]-0.0203309687623448[/C][C]-0.766613257124456[/C][/ROW]
[ROW][C]31[/C][C]-6.8[/C][C]-6.67081129725204[/C][C]-0.198519468904899[/C][C]-0.0198130799609372[/C][C]-1.09415555439157[/C][/ROW]
[ROW][C]32[/C][C]-8.4[/C][C]-8.30963366552282[/C][C]-0.818095593866202[/C][C]-0.0196281757747800[/C][C]-0.707625438290224[/C][/ROW]
[ROW][C]33[/C][C]-8.4[/C][C]-8.41531298878417[/C][C]-0.511621850147074[/C][C]-0.0196786582706016[/C][C]0.350034921944936[/C][/ROW]
[ROW][C]34[/C][C]-9.7[/C][C]-9.64507536418977[/C][C]-0.820566533582286[/C][C]-0.0196505713794382[/C][C]-0.352859384354870[/C][/ROW]
[ROW][C]35[/C][C]-8.8[/C][C]-8.85922137387733[/C][C]-0.129471846451820[/C][C]-0.0196852476486485[/C][C]0.789331377077581[/C][/ROW]
[ROW][C]36[/C][C]-9.6[/C][C]-9.55262130986432[/C][C]-0.372080371855951[/C][C]-0.0196785291527574[/C][C]-0.277094646228957[/C][/ROW]
[ROW][C]37[/C][C]-11.5[/C][C]-11.4645305222624[/C][C]-1.02767283239963[/C][C]0.0393711461505852[/C][C]-0.792636157370212[/C][/ROW]
[ROW][C]38[/C][C]-11[/C][C]-11.0700274898158[/C][C]-0.441588479291659[/C][C]0.0116737740860523[/C][C]0.639489607250994[/C][/ROW]
[ROW][C]39[/C][C]-14.9[/C][C]-14.7547535956884[/C][C]-1.83883417978183[/C][C]0.0138428778402815[/C][C]-1.59194703226260[/C][/ROW]
[ROW][C]40[/C][C]-16.2[/C][C]-16.2312655516052[/C][C]-1.68284661778230[/C][C]0.0135078481509548[/C][C]0.177747857925857[/C][/ROW]
[ROW][C]41[/C][C]-14.4[/C][C]-14.5754730317516[/C][C]-0.246525565999561[/C][C]0.0116465930783660[/C][C]1.63918703337121[/C][/ROW]
[ROW][C]42[/C][C]-17.3[/C][C]-17.1958359423766[/C][C]-1.26764394040584[/C][C]0.0123865771590610[/C][C]-1.16598052847565[/C][/ROW]
[ROW][C]43[/C][C]-15.7[/C][C]-15.8407370743436[/C][C]-0.139432325226527[/C][C]0.0119344109217928[/C][C]1.28848712795872[/C][/ROW]
[ROW][C]44[/C][C]-12.6[/C][C]-12.7693299922675[/C][C]1.24181506114254[/C][C]0.0116287837944068[/C][C]1.57755207633975[/C][/ROW]
[ROW][C]45[/C][C]-9.4[/C][C]-9.51058979842697[/C][C]2.10948880720251[/C][C]0.0115228166440622[/C][C]0.991004475837045[/C][/ROW]
[ROW][C]46[/C][C]-8.1[/C][C]-8.07828000986263[/C][C]1.81816300123435[/C][C]0.0115424533582531[/C][C]-0.332736332175885[/C][/ROW]
[ROW][C]47[/C][C]-5.4[/C][C]-5.45126039225042[/C][C]2.16614133926418[/C][C]0.0115295080070992[/C][C]0.397442330178966[/C][/ROW]
[ROW][C]48[/C][C]-4.6[/C][C]-4.54943714757656[/C][C]1.62221511041974[/C][C]0.0115406759396499[/C][C]-0.621243858109478[/C][/ROW]
[ROW][C]49[/C][C]-4.9[/C][C]-4.55459618418016[/C][C]0.927487517029764[/C][C]-0.266092189475626[/C][C]-0.828188779853126[/C][/ROW]
[ROW][C]50[/C][C]-4[/C][C]-4.00484529482508[/C][C]0.770409395452861[/C][C]0.0209746348785859[/C][C]-0.173226027416277[/C][/ROW]
[ROW][C]51[/C][C]-3.1[/C][C]-3.12622673071045[/C][C]0.817015632354533[/C][C]0.0209171448859901[/C][C]0.0531274699942224[/C][/ROW]
[ROW][C]52[/C][C]-1.3[/C][C]-1.36645114180379[/C][C]1.22283518530608[/C][C]0.0202244542649359[/C][C]0.462652015815929[/C][/ROW]
[ROW][C]53[/C][C]0[/C][C]-0.0259475255823856[/C][C]1.27345762981466[/C][C]0.0201723287310314[/C][C]0.0577817943494162[/C][/ROW]
[ROW][C]54[/C][C]-0.4[/C][C]-0.342492828404964[/C][C]0.589489517228566[/C][C]0.0205661624114972[/C][C]-0.781039579130078[/C][/ROW]
[ROW][C]55[/C][C]3[/C][C]2.85186032028830[/C][C]1.71003800151936[/C][C]0.0202093319359584[/C][C]1.27975514218800[/C][/ROW]
[ROW][C]56[/C][C]0.4[/C][C]0.575296522978114[/C][C]-0.00495692385774981[/C][C]0.0205108441102944[/C][C]-1.95874147957381[/C][/ROW]
[ROW][C]57[/C][C]1.2[/C][C]1.15099264622019[/C][C]0.244840324955692[/C][C]0.0204866046257279[/C][C]0.285303719235541[/C][/ROW]
[ROW][C]58[/C][C]0.6[/C][C]0.61771612671021[/C][C]-0.0899113337150898[/C][C]0.0205045326871962[/C][C]-0.382335122732968[/C][/ROW]
[ROW][C]59[/C][C]-1.3[/C][C]-1.23398772886313[/C][C]-0.847854807761657[/C][C]0.0205269363545627[/C][C]-0.86568279589298[/C][/ROW]
[ROW][C]60[/C][C]-3.2[/C][C]-3.16722049849946[/C][C]-1.3147994787559[/C][C]0.0205345539667284[/C][C]-0.533319603492941[/C][/ROW]
[ROW][C]61[/C][C]-1.8[/C][C]-1.87838109882391[/C][C]-0.201540844111999[/C][C]-0.0487142006451782[/C][C]1.31588969490328[/C][/ROW]
[ROW][C]62[/C][C]-3.6[/C][C]-3.53065180587113[/C][C]-0.808379388946135[/C][C]-0.00580922992567405[/C][C]-0.673673904938567[/C][/ROW]
[ROW][C]63[/C][C]-4.2[/C][C]-4.20090852513943[/C][C]-0.74890075762594[/C][C]-0.00587009471375314[/C][C]0.0678235527845756[/C][/ROW]
[ROW][C]64[/C][C]-6.9[/C][C]-6.8043007852979[/C][C]-1.54710687156649[/C][C]-0.00473969329204041[/C][C]-0.910275862911133[/C][/ROW]
[ROW][C]65[/C][C]-8[/C][C]-8.01180559335525[/C][C]-1.40100553141641[/C][C]-0.00486449868849522[/C][C]0.166781878100931[/C][/ROW]
[ROW][C]66[/C][C]-7.5[/C][C]-7.58453842785194[/C][C]-0.614526156320503[/C][C]-0.0052401815511236[/C][C]0.898129607462122[/C][/ROW]
[ROW][C]67[/C][C]-8.2[/C][C]-8.19496089869986[/C][C]-0.612760822486348[/C][C]-0.0052406478996085[/C][C]0.00201617163498521[/C][/ROW]
[ROW][C]68[/C][C]-7.6[/C][C]-7.65147812230554[/C][C]-0.115351409309629[/C][C]-0.00531319282561275[/C][C]0.568106331057676[/C][/ROW]
[ROW][C]69[/C][C]-3.7[/C][C]-3.88521266367572[/C][C]1.55453302835629[/C][C]-0.0054476155664953[/C][C]1.90724555060352[/C][/ROW]
[ROW][C]70[/C][C]-1.7[/C][C]-1.72432472722433[/C][C]1.81539239647266[/C][C]-0.0054592051412537[/C][C]0.297939456533914[/C][/ROW]
[ROW][C]71[/C][C]-0.7[/C][C]-0.65776592410732[/C][C]1.49323486413477[/C][C]-0.00545130561555192[/C][C]-0.367951261981779[/C][/ROW]
[ROW][C]72[/C][C]0.2[/C][C]0.234945706662705[/C][C]1.23488112582282[/C][C]-0.00544780923576579[/C][C]-0.295078037120003[/C][/ROW]
[ROW][C]73[/C][C]0.6[/C][C]0.628706766246988[/C][C]0.874860369536394[/C][C]0.0123957376526022[/C][C]-0.423138823595452[/C][/ROW]
[ROW][C]74[/C][C]2.2[/C][C]2.16752929938767[/C][C]1.15375051900022[/C][C]0.00287444291452112[/C][C]0.311009825169212[/C][/ROW]
[ROW][C]75[/C][C]3.3[/C][C]3.29824739102486[/C][C]1.14383361291613[/C][C]0.00288311403698353[/C][C]-0.0113109255236458[/C][/ROW]
[ROW][C]76[/C][C]5.3[/C][C]5.25753634487212[/C][C]1.49479623614618[/C][C]0.00245842175312193[/C][C]0.400327640454205[/C][/ROW]
[ROW][C]77[/C][C]5.5[/C][C]5.55590112092705[/C][C]0.980074842135397[/C][C]0.00283410273423844[/C][C]-0.587624661311565[/C][/ROW]
[ROW][C]78[/C][C]6.3[/C][C]6.30830629847808[/C][C]0.882135425986709[/C][C]0.00287407409679779[/C][C]-0.111845741912317[/C][/ROW]
[ROW][C]79[/C][C]7.7[/C][C]7.67345006824516[/C][C]1.08991959519774[/C][C]0.0028271765300132[/C][C]0.237310113945621[/C][/ROW]
[ROW][C]80[/C][C]6.5[/C][C]6.603161273121[/C][C]0.160603150815246[/C][C]0.00294297685934762[/C][C]-1.06140274669048[/C][/ROW]
[ROW][C]81[/C][C]5.5[/C][C]5.55632935643467[/C][C]-0.358841797525406[/C][C]0.00297870238945125[/C][C]-0.593280414062778[/C][/ROW]
[ROW][C]82[/C][C]6.9[/C][C]6.81747435924532[/C][C]0.338093025128486[/C][C]0.00295224749940295[/C][C]0.796001409494349[/C][/ROW]
[ROW][C]83[/C][C]5.7[/C][C]5.76532419435288[/C][C]-0.260007792455636[/C][C]0.00296477775202967[/C][C]-0.683119102364486[/C][/ROW]
[ROW][C]84[/C][C]6.9[/C][C]6.83188050306628[/C][C]0.310699653546261[/C][C]0.0029581788742391[/C][C]0.651832008419736[/C][/ROW]
[ROW][C]85[/C][C]6.1[/C][C]6.22203474826827[/C][C]-0.0836096247457896[/C][C]-0.0770170873189704[/C][C]-0.461557479171838[/C][/ROW]
[ROW][C]86[/C][C]4.8[/C][C]4.85757010912065[/C][C]-0.623280085559336[/C][C]0.000266148029649547[/C][C]-0.603802782043617[/C][/ROW]
[ROW][C]87[/C][C]3.7[/C][C]3.72458667079312[/C][C]-0.842716956034724[/C][C]0.000433622957724666[/C][C]-0.250327105928739[/C][/ROW]
[ROW][C]88[/C][C]5.8[/C][C]5.66430652858494[/C][C]0.354751222629176[/C][C]-0.00083131812947201[/C][C]1.36612622875762[/C][/ROW]
[ROW][C]89[/C][C]6.8[/C][C]6.76444057503678[/C][C]0.675425527135285[/C][C]-0.00103562504019138[/C][C]0.366114277832437[/C][/ROW]
[ROW][C]90[/C][C]8.5[/C][C]8.45150937723033[/C][C]1.11062083145818[/C][C]-0.00119066361602316[/C][C]0.496997040758866[/C][/ROW]
[ROW][C]91[/C][C]7.2[/C][C]7.3115385220949[/C][C]0.142435951647924[/C][C]-0.000999916560964622[/C][C]-1.10576904094341[/C][/ROW]
[ROW][C]92[/C][C]5[/C][C]5.11573987125026[/C][C]-0.863472666927765[/C][C]-0.000890504386909045[/C][C]-1.14888306271052[/C][/ROW]
[ROW][C]93[/C][C]4.7[/C][C]4.67989671006126[/C][C]-0.679503564105113[/C][C]-0.000901548853962455[/C][C]0.210119128910024[/C][/ROW]
[ROW][C]94[/C][C]2.3[/C][C]2.38044988431253[/C][C]-1.37642103009318[/C][C]-0.000878457159913245[/C][C]-0.795981706860443[/C][/ROW]
[ROW][C]95[/C][C]2.4[/C][C]2.33548739493846[/C][C]-0.803609500005544[/C][C]-0.000888932251069489[/C][C]0.654235046842367[/C][/ROW]
[ROW][C]96[/C][C]0.1[/C][C]0.167882985706366[/C][C]-1.39042059718936[/C][C]-0.000883009609001514[/C][C]-0.670224760732735[/C][/ROW]
[ROW][C]97[/C][C]1.9[/C][C]1.6303092091751[/C][C]-0.167746499462456[/C][C]0.130098796410866[/C][C]1.42683113296707[/C][/ROW]
[ROW][C]98[/C][C]1.7[/C][C]1.69989710663353[/C][C]-0.0675107301982554[/C][C]-0.0107201924221256[/C][C]0.112427027807016[/C][/ROW]
[ROW][C]99[/C][C]2[/C][C]1.99311651020288[/C][C]0.0877780811394915[/C][C]-0.0108253432404314[/C][C]0.177173005894065[/C][/ROW]
[ROW][C]100[/C][C]-1.9[/C][C]-1.70492141531801[/C][C]-1.54144713198587[/C][C]-0.0092983155039725[/C][C]-1.85893342897724[/C][/ROW]
[ROW][C]101[/C][C]0.5[/C][C]0.334360818407338[/C][C]-0.000965313993765508[/C][C]-0.0101691161899185[/C][C]1.75884763074481[/C][/ROW]
[ROW][C]102[/C][C]-1.3[/C][C]-1.21404532145824[/C][C]-0.666658797649266[/C][C]-0.0099587058193209[/C][C]-0.760238463763401[/C][/ROW]
[ROW][C]103[/C][C]-3.3[/C][C]-3.22415734074427[/C][C]-1.24460451343108[/C][C]-0.00985768242098883[/C][C]-0.660077593260864[/C][/ROW]
[ROW][C]104[/C][C]-2.8[/C][C]-2.86866966417225[/C][C]-0.556241754926039[/C][C]-0.00992411166147253[/C][C]0.786203940181916[/C][/ROW]
[ROW][C]105[/C][C]-8[/C][C]-7.77643154268564[/C][C]-2.42830007254806[/C][C]-0.00982439818146275[/C][C]-2.13816020857631[/C][/ROW]
[ROW][C]106[/C][C]-13.9[/C][C]-13.7176648624865[/C][C]-3.93960502580483[/C][C]-0.00977996973532293[/C][C]-1.72613156774375[/C][/ROW]
[ROW][C]107[/C][C]-21.9[/C][C]-21.6920583157117[/C][C]-5.67542725072353[/C][C]-0.00975180628492066[/C][C]-1.98256444882152[/C][/ROW]
[ROW][C]108[/C][C]-28.8[/C][C]-28.7236386049055[/C][C]-6.25886493865877[/C][C]-0.00974658176728158[/C][C]-0.66637183746955[/C][/ROW]
[ROW][C]109[/C][C]-27.6[/C][C]-28.2858563707992[/C][C]-3.38758187279346[/C][C]0.358041381407861[/C][C]3.34275537022097[/C][/ROW]
[ROW][C]110[/C][C]-31.4[/C][C]-31.3820633686062[/C][C]-3.26428959234133[/C][C]-0.0313281963214016[/C][C]0.138558280510251[/C][/ROW]
[ROW][C]111[/C][C]-31.8[/C][C]-31.9026538566709[/C][C]-2.08324356300299[/C][C]-0.0320468874016483[/C][C]1.34763206552816[/C][/ROW]
[ROW][C]112[/C][C]-29.4[/C][C]-29.5824666239146[/C][C]-0.188287265384134[/C][C]-0.03364305372854[/C][C]2.16235231560535[/C][/ROW]
[ROW][C]113[/C][C]-27.6[/C][C]-27.6690907721545[/C][C]0.715879249778494[/C][C]-0.0341023689462983[/C][C]1.03236986409788[/C][/ROW]
[ROW][C]114[/C][C]-23.6[/C][C]-23.7240908065754[/C][C]2.10502331968948[/C][C]-0.034496949384607[/C][C]1.58645424436042[/C][/ROW]
[ROW][C]115[/C][C]-22.8[/C][C]-22.7119008386324[/C][C]1.63489029055794[/C][C]-0.0344230995358375[/C][C]-0.536945429063395[/C][/ROW]
[ROW][C]116[/C][C]-18.2[/C][C]-18.3017881672465[/C][C]2.82880052969295[/C][C]-0.0345266392732215[/C][C]1.3636093379913[/C][/ROW]
[ROW][C]117[/C][C]-17.8[/C][C]-17.6581826224820[/C][C]1.88871040748318[/C][C]-0.0344816408484821[/C][C]-1.07371864079225[/C][/ROW]
[ROW][C]118[/C][C]-14.2[/C][C]-14.2405992730086[/C][C]2.54645022223412[/C][C]-0.0344990171133864[/C][C]0.751235256601043[/C][/ROW]
[ROW][C]119[/C][C]-8.8[/C][C]-8.90260495802585[/C][C]3.74741223008509[/C][C]-0.0345165277989882[/C][C]1.37167540268165[/C][/ROW]
[ROW][C]120[/C][C]-7.9[/C][C]-7.73859456992647[/C][C]2.63599299167445[/C][C]-0.0345075839822455[/C][C]-1.26940460288320[/C][/ROW]
[ROW][C]121[/C][C]-7[/C][C]-7.2057754635848[/C][C]1.73391851037215[/C][C]0.308766062995488[/C][C]-1.04819861025028[/C][/ROW]
[ROW][C]122[/C][C]-7[/C][C]-6.90042272603732[/C][C]1.12850359708754[/C][C]-0.0335042709891022[/C][C]-0.681448877892028[/C][/ROW]
[ROW][C]123[/C][C]-3.6[/C][C]-3.66923125854014[/C][C]2.03357490008093[/C][C]-0.0340043515244278[/C][C]1.03282265515809[/C][/ROW]
[ROW][C]124[/C][C]-2.4[/C][C]-2.33204503049557[/C][C]1.73390120246519[/C][C]-0.033775148349878[/C][C]-0.341989071353872[/C][/ROW]
[ROW][C]125[/C][C]-4.9[/C][C]-4.66722987456049[/C][C]-0.0166804985108977[/C][C]-0.0329676766363624[/C][C]-1.99885703693101[/C][/ROW]
[ROW][C]126[/C][C]-7.7[/C][C]-7.5276828892239[/C][C]-1.24005692541326[/C][C]-0.0326521565820421[/C][C]-1.39715383747115[/C][/ROW]
[ROW][C]127[/C][C]-6.5[/C][C]-6.57491771303776[/C][C]-0.296708522388085[/C][C]-0.0327867049197032[/C][C]1.07741417012446[/C][/ROW]
[ROW][C]128[/C][C]-5.1[/C][C]-5.15163860280477[/C][C]0.443238211371043[/C][C]-0.0328449706018695[/C][C]0.84512141448727[/C][/ROW]
[ROW][C]129[/C][C]-3.4[/C][C]-3.42992915193602[/C][C]0.993248742588917[/C][C]-0.0328688748840918[/C][C]0.628191590146622[/C][/ROW]
[ROW][C]130[/C][C]-2.8[/C][C]-2.75166243123423[/C][C]0.857739494663727[/C][C]-0.0328656243997475[/C][C]-0.154771431141281[/C][/ROW]
[ROW][C]131[/C][C]0.8[/C][C]0.705210152945384[/C][C]1.97592417743159[/C][C]-0.0328804278945758[/C][C]1.27713154190420[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=114764&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=114764&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
16.46.4000
27.77.603802757261530.1887969340208550.06046627218901260.466507988564282
39.29.073122032211130.6624066158636850.05618727981487490.667912037000793
48.68.596320437772910.1931580211046940.0613129984471699-0.567268451881281
57.47.40350209897595-0.3946414878460670.065088302310559-0.682808893518477
68.68.465473510978070.2288674767659280.06286374815294740.715807502377138
76.26.2549116996384-0.8186085457940430.0649266987924918-1.19824534535687
865.91193627672651-0.6141453088836270.0647045034891170.233638492231172
96.66.4776540500291-0.1067295425569450.06440019985151750.579627784896738
105.15.09794107320545-0.6542939737078850.0645814307154015-0.625427000041763
114.74.62645397989651-0.5756542751330320.06456706576667650.0898193447160561
1254.894050215296-0.2128904392433950.06453049320170870.41433150710664
133.64.41941638597563-0.321731944507249-0.806996822707501-0.146992399363553
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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$resid)
myfit <- mylevel+myseas
mylagmax <- nx/2
bitmap(file='test2.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(x),lag.max = mylagmax,main='Observed')
acf(mylevel,na.action=na.pass,lag.max = mylagmax,main='Level')
acf(myseas,na.action=na.pass,lag.max = mylagmax,main='Seasonal')
acf(myresid,na.action=na.pass,lag.max = mylagmax,main='Standardized Residals')
par(op)
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
spectrum(as.numeric(x),main='Observed')
spectrum(mylevel,main='Level')
spectrum(myseas,main='Seasonal')
spectrum(myresid,main='Standardized Residals')
par(op)
dev.off()
bitmap(file='test4.png')
op <- par(mfrow = c(2,2))
cpgram(as.numeric(x),main='Observed')
cpgram(mylevel,main='Level')
cpgram(myseas,main='Seasonal')
cpgram(myresid,main='Standardized Residals')
par(op)
dev.off()
bitmap(file='test1.png')
plot(as.numeric(m$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')