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Description of Statistical Computation

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 computationTue, 29 Nov 2011 08:59:29 -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/2011/Nov/29/t13225751889k7a4usfaokv78v.htm/, Retrieved Tue, 23 Apr 2024 13:48:19 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=148374, Retrieved Tue, 23 Apr 2024 13:48:19 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact113

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Explorative Data Analysis] [Run Sequence gebo...] [2008-12-12 13:32:37] [76963dc1903f0f612b6153510a3818cf]
- R  D  [Univariate Explorative Data Analysis] [Run Sequence gebo...] [2008-12-17 12:14:40] [76963dc1903f0f612b6153510a3818cf]
-         [Univariate Explorative Data Analysis] [Run Sequence Plot...] [2008-12-22 18:19:51] [1ce0d16c8f4225c977b42c8fa93bc163]
- RMP       [Univariate Data Series] [Identifying Integ...] [2009-11-22 12:08:06] [b98453cac15ba1066b407e146608df68]
- R P         [Univariate Data Series] [WS8 Time Series A...] [2010-11-30 09:10:08] [afe9379cca749d06b3d6872e02cc47ed]
- R PD          [Univariate Data Series] [ws8-1] [2011-11-29 11:47:38] [f7a862281046b7153543b12c78921b36]
- RMPD              [Structural Time Series Models] [ws8-4] [2011-11-29 13:59:29] [47995d3a8fac585eeb070a274b466f8c] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
12008
9169
8788
8417
8247
8197
8236
8253
7733
8366
8626
8863
10102
8463
9114
8563
8872
8301
8301
8278
7736
7973
8268
9476
11100
8962
9173
8738
8459
8078
8411
8291
7810
8616
8312
9692
9911
8915
9452
9112
8472
8230
8384
8625
8221
8649
8625
10443
10357
8586
8892
8329
8101
7922
8120
7838
7735
8406
8209
9451
10041
9411
10405
8467
8464
8102
7627
7513
7510
8291
8064
9383
9706
8579
9474
8318
8213
8059
9111
7708
7680
8014
8007
8718
9486
9113
9025
8476
7952
7759
7835
7600
7651
8319
8812
8630

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 3 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=148374&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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=148374&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=148374&T=0

As an alternative you can also use a QR Code:  
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 time3 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net






Structural Time Series Model
tObservedLevelSlopeSeasonalStand. Residuals
11200812008000
291699404.58992051732-140.607835773963-235.589920517318-3.75533775044017
387888928.83207690168-147.265468693883-140.832076901677-0.780937742135369
484178578.45048988622-148.949751261336-161.450489886216-0.479317650281002
582478388.56927588887-149.31051856543-141.569275888874-0.0964621408871046
681978326.4781098058-148.40397148015-129.4781098058040.20538009001759
782368356.97176789575-146.335974296419-120.9717678957470.420967960154393
882538380.11087276641-144.205402405209-127.110872766410.398526610541096
977337938.23508340784-148.239371225945-205.235083407842-0.69951400785533
1083668392.2606480385-139.500743555486-26.26064803849681.4143681646903
1186268724.44045931879-132.218050587166-98.44045931879231.10698798654584
1288638967.93056577965-126.078790875428-104.9305657796520.881194822575202
13101028669.75688663504-122.1421313308211432.24311336496-0.468222506241583
1484638631.85939389205-119.587314046379-168.8593938920470.176288256464413
1591149072.83697744199-104.33578943955741.16302255800971.27989709942503
1685638775.16208144718-108.208060577637-212.162081447177-0.451966648484196
1788728925.05083542719-103.402565277897-53.05083542718730.60274942500715
1883018522.55687347386-109.218611904458-221.556873473865-0.697913368094057
1983018406.01637913817-109.368082389169-105.016379138175-0.0170751279988551
2082788314.87251958469-108.981828913154-36.87251958469350.042477831065853
2177368032.74869939394-112.774523459336-296.748699393942-0.403376616860836
2279738006.71479373614-110.806837000917-33.71479373613710.202023935141918
2382688309.01655487128-101.202860479434-41.0165548712750.961811316044191
2494769311.4543171554-77.9846309267205164.5456828446012.56517639833191
25111009656.79378600488-72.89849315480111443.206213995121.03671562667262
2689629338.5904576821-80.0310549467005-376.590457682102-0.546724627839685
2791739131.73718708735-83.970020648996741.2628129126512-0.288034531982271
2887389015.48492852488-84.8660418224344-277.484928524881-0.0749076003432717
2984598560.30399168496-94.5511050883786-101.303991684964-0.859584740316093
3080788324.31892433705-98.258076100081-246.318924337049-0.328020745492447
3184118453.34899119765-92.181123024876-42.34899119765250.526932766712112
3282918312.94140031545-93.4955826925061-21.9414003154462-0.111774933286065
3378108129.01676315895-96.0039193511587-319.016763158955-0.209555850108468
3486168574.78121482456-80.748196307511541.21878517544451.25538740610826
3583128587.4331563838-78.1308826375517-275.4331563837980.216226272772258
3696929388.65451386808-55.0474103478375303.3454861319222.03685484161856
3799118660.13037455817-71.32896048196051250.86962544183-1.59569228262834
3889159114.79748886658-55.1867203262999-199.7974888665751.19501533185399
3994529349.94632687914-45.6980705805726102.0536731208630.660109278525954
4091129316.26126704332-45.3208208758174-204.2612670433220.0277446426363632
4184728698.81793760159-62.639282105303-226.817937601586-1.32343748023698
4282308515.28960551872-66.2680366231684-285.289605518722-0.279390220703286
4383848394.95835946405-67.9012965077778-10.9583594640465-0.124909212702186
4486258544.54646871384-61.266412916896280.45353128616120.502467478756729
4582218609.1504741046-57.3916964774123-388.1504741046030.290812041238515
4686498620.07124423244-55.279894760133228.92875576756170.157801369394816
4786258967.03769878444-42.9778265554834-342.0376987844410.928120443861645
48104439792.78487556212-17.2576582915003650.2151244378842.0087935102961
49103579395.68870612137-28.3802226045018961.311293878629-0.887916183463132
5085868962.44703450387-41.3380442788073-376.447034503866-0.926173758949898
5188928801.82811056564-45.308239678536490.1718894343657-0.271873847543805
5283298475.59543681099-54.5384342419026-146.595436810988-0.647150228085046
5381018310.13189236935-58.1089592862142-209.131892369353-0.256114983798845
5479228198.43820019912-59.8188059161976-276.438200199124-0.123621227599398
5581208159.81981513054-59.141747389824-39.81981513054160.04889291482937
5678387843.45446546159-67.3927308725585-5.45446546159193-0.593236499448212
5777358049.31676773443-58.5923799058783-314.316767734430.630252281897268
5884068389.75896206158-45.743281466929616.24103793841830.920004970824469
5982098676.84734274632-35.1196117336171-467.8473427463180.766681700522983
6094518719.13984807108-32.6854319656265731.8601519289210.178816210165611
61100418928.67339607925-25.05265612198071112.326603920750.56267564469825
6294119586.13785366125-2.70641924734686-175.1378536612521.56576897726005
631040510140.50388018515.9387020049404264.4961198150491.27263450126142
6484678958.06390170706-24.0349175520583-491.063901707064-2.75707683771024
6584648688.09782082898-32.1497795142561-224.09782082898-0.567238341496324
6681028419.16169698964-39.9123464422492-317.161696989636-0.545818697404003
6776277756.69938337103-60.2998138195468-129.699383371035-1.43442255596296
6875137572.68958160782-64.3574265174321-59.6895816078186-0.285039037842726
6975107808.68582823018-54.4927611094092-298.685828230180.692027187157649
7082918216.4410224546-39.332544266867674.55897754540411.06450044434317
7180648482.0128312191-29.3902676449137-418.0128312190970.701832666604542
7293838677.93220905873-22.0923588761677705.0677909412690.520075249874582
7397068756.61315745104-18.81634778756949.3868425489580.233337630627539
7485798841.56692920431-15.3815080756876-262.5669292043120.238369084822048
7594748930.25889025792-11.8949612342796543.741109742080.238175230028662
7683188798.98843415873-15.8928826267144-480.988434158735-0.274476156278953
7782138458.0433802691-26.7190109955502-245.043380269105-0.749248833457153
7880598260.89265218389-32.371292101145-201.892652183885-0.392716769358374
7991118987.62128858633-7.23207525625505123.3787114136731.74827375624921
8077088106.87825768887-36.1664699410537-398.878257688866-2.01151434711281
8176808053.24186343802-36.7452178652916-373.241863438017-0.0402234377402611
8280148007.17156689485-37.05368255232756.82843310514757-0.021459255816038
8380078361.94826822558-24.1373573984932-354.9482682255830.901653619266442
8487188114.18180564776-31.4877741892893603.818194352239-0.51592112143431
8594868452.18340731434-19.30772862529561033.816592685660.853955893684807
8691139201.232916881466.25157153243611-88.23291688145781.76612859822604
8790258639.98477225346-12.7501275314844385.015227746539-1.30039384344517
8884768818.00696614439-6.35936508523394-342.0069661443920.438520858161605
8979528330.31875347575-22.4394905539869-378.318753475748-1.10898149929602
9077598139.66294659527-28.0446070005128-380.662946595266-0.387541491277317
9178357637.86296409845-43.8108323158303197.137035901553-1.09087317449153
9276007884.6524446643-34.1429100244401-284.6524446643040.668956589558895
9376517991.58849115058-29.4509998730536-340.5884911505830.324669200456162
9483198297.08494366783-18.324851456294321.91505633216580.770466822583259
9588128951.117093092643.96421592359339-139.1170930926441.54702066370602
9686308334.2151827741-16.593253115132295.784817225904-1.43175920496976

\begin{tabular}{lllllllll}
\hline
Structural Time Series Model \tabularnewline
t & Observed & Level & Slope & Seasonal & Stand. Residuals \tabularnewline
1 & 12008 & 12008 & 0 & 0 & 0 \tabularnewline
2 & 9169 & 9404.58992051732 & -140.607835773963 & -235.589920517318 & -3.75533775044017 \tabularnewline
3 & 8788 & 8928.83207690168 & -147.265468693883 & -140.832076901677 & -0.780937742135369 \tabularnewline
4 & 8417 & 8578.45048988622 & -148.949751261336 & -161.450489886216 & -0.479317650281002 \tabularnewline
5 & 8247 & 8388.56927588887 & -149.31051856543 & -141.569275888874 & -0.0964621408871046 \tabularnewline
6 & 8197 & 8326.4781098058 & -148.40397148015 & -129.478109805804 & 0.20538009001759 \tabularnewline
7 & 8236 & 8356.97176789575 & -146.335974296419 & -120.971767895747 & 0.420967960154393 \tabularnewline
8 & 8253 & 8380.11087276641 & -144.205402405209 & -127.11087276641 & 0.398526610541096 \tabularnewline
9 & 7733 & 7938.23508340784 & -148.239371225945 & -205.235083407842 & -0.69951400785533 \tabularnewline
10 & 8366 & 8392.2606480385 & -139.500743555486 & -26.2606480384968 & 1.4143681646903 \tabularnewline
11 & 8626 & 8724.44045931879 & -132.218050587166 & -98.4404593187923 & 1.10698798654584 \tabularnewline
12 & 8863 & 8967.93056577965 & -126.078790875428 & -104.930565779652 & 0.881194822575202 \tabularnewline
13 & 10102 & 8669.75688663504 & -122.142131330821 & 1432.24311336496 & -0.468222506241583 \tabularnewline
14 & 8463 & 8631.85939389205 & -119.587314046379 & -168.859393892047 & 0.176288256464413 \tabularnewline
15 & 9114 & 9072.83697744199 & -104.335789439557 & 41.1630225580097 & 1.27989709942503 \tabularnewline
16 & 8563 & 8775.16208144718 & -108.208060577637 & -212.162081447177 & -0.451966648484196 \tabularnewline
17 & 8872 & 8925.05083542719 & -103.402565277897 & -53.0508354271873 & 0.60274942500715 \tabularnewline
18 & 8301 & 8522.55687347386 & -109.218611904458 & -221.556873473865 & -0.697913368094057 \tabularnewline
19 & 8301 & 8406.01637913817 & -109.368082389169 & -105.016379138175 & -0.0170751279988551 \tabularnewline
20 & 8278 & 8314.87251958469 & -108.981828913154 & -36.8725195846935 & 0.042477831065853 \tabularnewline
21 & 7736 & 8032.74869939394 & -112.774523459336 & -296.748699393942 & -0.403376616860836 \tabularnewline
22 & 7973 & 8006.71479373614 & -110.806837000917 & -33.7147937361371 & 0.202023935141918 \tabularnewline
23 & 8268 & 8309.01655487128 & -101.202860479434 & -41.016554871275 & 0.961811316044191 \tabularnewline
24 & 9476 & 9311.4543171554 & -77.9846309267205 & 164.545682844601 & 2.56517639833191 \tabularnewline
25 & 11100 & 9656.79378600488 & -72.8984931548011 & 1443.20621399512 & 1.03671562667262 \tabularnewline
26 & 8962 & 9338.5904576821 & -80.0310549467005 & -376.590457682102 & -0.546724627839685 \tabularnewline
27 & 9173 & 9131.73718708735 & -83.9700206489967 & 41.2628129126512 & -0.288034531982271 \tabularnewline
28 & 8738 & 9015.48492852488 & -84.8660418224344 & -277.484928524881 & -0.0749076003432717 \tabularnewline
29 & 8459 & 8560.30399168496 & -94.5511050883786 & -101.303991684964 & -0.859584740316093 \tabularnewline
30 & 8078 & 8324.31892433705 & -98.258076100081 & -246.318924337049 & -0.328020745492447 \tabularnewline
31 & 8411 & 8453.34899119765 & -92.181123024876 & -42.3489911976525 & 0.526932766712112 \tabularnewline
32 & 8291 & 8312.94140031545 & -93.4955826925061 & -21.9414003154462 & -0.111774933286065 \tabularnewline
33 & 7810 & 8129.01676315895 & -96.0039193511587 & -319.016763158955 & -0.209555850108468 \tabularnewline
34 & 8616 & 8574.78121482456 & -80.7481963075115 & 41.2187851754445 & 1.25538740610826 \tabularnewline
35 & 8312 & 8587.4331563838 & -78.1308826375517 & -275.433156383798 & 0.216226272772258 \tabularnewline
36 & 9692 & 9388.65451386808 & -55.0474103478375 & 303.345486131922 & 2.03685484161856 \tabularnewline
37 & 9911 & 8660.13037455817 & -71.3289604819605 & 1250.86962544183 & -1.59569228262834 \tabularnewline
38 & 8915 & 9114.79748886658 & -55.1867203262999 & -199.797488866575 & 1.19501533185399 \tabularnewline
39 & 9452 & 9349.94632687914 & -45.6980705805726 & 102.053673120863 & 0.660109278525954 \tabularnewline
40 & 9112 & 9316.26126704332 & -45.3208208758174 & -204.261267043322 & 0.0277446426363632 \tabularnewline
41 & 8472 & 8698.81793760159 & -62.639282105303 & -226.817937601586 & -1.32343748023698 \tabularnewline
42 & 8230 & 8515.28960551872 & -66.2680366231684 & -285.289605518722 & -0.279390220703286 \tabularnewline
43 & 8384 & 8394.95835946405 & -67.9012965077778 & -10.9583594640465 & -0.124909212702186 \tabularnewline
44 & 8625 & 8544.54646871384 & -61.2664129168962 & 80.4535312861612 & 0.502467478756729 \tabularnewline
45 & 8221 & 8609.1504741046 & -57.3916964774123 & -388.150474104603 & 0.290812041238515 \tabularnewline
46 & 8649 & 8620.07124423244 & -55.2798947601332 & 28.9287557675617 & 0.157801369394816 \tabularnewline
47 & 8625 & 8967.03769878444 & -42.9778265554834 & -342.037698784441 & 0.928120443861645 \tabularnewline
48 & 10443 & 9792.78487556212 & -17.2576582915003 & 650.215124437884 & 2.0087935102961 \tabularnewline
49 & 10357 & 9395.68870612137 & -28.3802226045018 & 961.311293878629 & -0.887916183463132 \tabularnewline
50 & 8586 & 8962.44703450387 & -41.3380442788073 & -376.447034503866 & -0.926173758949898 \tabularnewline
51 & 8892 & 8801.82811056564 & -45.3082396785364 & 90.1718894343657 & -0.271873847543805 \tabularnewline
52 & 8329 & 8475.59543681099 & -54.5384342419026 & -146.595436810988 & -0.647150228085046 \tabularnewline
53 & 8101 & 8310.13189236935 & -58.1089592862142 & -209.131892369353 & -0.256114983798845 \tabularnewline
54 & 7922 & 8198.43820019912 & -59.8188059161976 & -276.438200199124 & -0.123621227599398 \tabularnewline
55 & 8120 & 8159.81981513054 & -59.141747389824 & -39.8198151305416 & 0.04889291482937 \tabularnewline
56 & 7838 & 7843.45446546159 & -67.3927308725585 & -5.45446546159193 & -0.593236499448212 \tabularnewline
57 & 7735 & 8049.31676773443 & -58.5923799058783 & -314.31676773443 & 0.630252281897268 \tabularnewline
58 & 8406 & 8389.75896206158 & -45.7432814669296 & 16.2410379384183 & 0.920004970824469 \tabularnewline
59 & 8209 & 8676.84734274632 & -35.1196117336171 & -467.847342746318 & 0.766681700522983 \tabularnewline
60 & 9451 & 8719.13984807108 & -32.6854319656265 & 731.860151928921 & 0.178816210165611 \tabularnewline
61 & 10041 & 8928.67339607925 & -25.0526561219807 & 1112.32660392075 & 0.56267564469825 \tabularnewline
62 & 9411 & 9586.13785366125 & -2.70641924734686 & -175.137853661252 & 1.56576897726005 \tabularnewline
63 & 10405 & 10140.503880185 & 15.9387020049404 & 264.496119815049 & 1.27263450126142 \tabularnewline
64 & 8467 & 8958.06390170706 & -24.0349175520583 & -491.063901707064 & -2.75707683771024 \tabularnewline
65 & 8464 & 8688.09782082898 & -32.1497795142561 & -224.09782082898 & -0.567238341496324 \tabularnewline
66 & 8102 & 8419.16169698964 & -39.9123464422492 & -317.161696989636 & -0.545818697404003 \tabularnewline
67 & 7627 & 7756.69938337103 & -60.2998138195468 & -129.699383371035 & -1.43442255596296 \tabularnewline
68 & 7513 & 7572.68958160782 & -64.3574265174321 & -59.6895816078186 & -0.285039037842726 \tabularnewline
69 & 7510 & 7808.68582823018 & -54.4927611094092 & -298.68582823018 & 0.692027187157649 \tabularnewline
70 & 8291 & 8216.4410224546 & -39.3325442668676 & 74.5589775454041 & 1.06450044434317 \tabularnewline
71 & 8064 & 8482.0128312191 & -29.3902676449137 & -418.012831219097 & 0.701832666604542 \tabularnewline
72 & 9383 & 8677.93220905873 & -22.0923588761677 & 705.067790941269 & 0.520075249874582 \tabularnewline
73 & 9706 & 8756.61315745104 & -18.81634778756 & 949.386842548958 & 0.233337630627539 \tabularnewline
74 & 8579 & 8841.56692920431 & -15.3815080756876 & -262.566929204312 & 0.238369084822048 \tabularnewline
75 & 9474 & 8930.25889025792 & -11.8949612342796 & 543.74110974208 & 0.238175230028662 \tabularnewline
76 & 8318 & 8798.98843415873 & -15.8928826267144 & -480.988434158735 & -0.274476156278953 \tabularnewline
77 & 8213 & 8458.0433802691 & -26.7190109955502 & -245.043380269105 & -0.749248833457153 \tabularnewline
78 & 8059 & 8260.89265218389 & -32.371292101145 & -201.892652183885 & -0.392716769358374 \tabularnewline
79 & 9111 & 8987.62128858633 & -7.23207525625505 & 123.378711413673 & 1.74827375624921 \tabularnewline
80 & 7708 & 8106.87825768887 & -36.1664699410537 & -398.878257688866 & -2.01151434711281 \tabularnewline
81 & 7680 & 8053.24186343802 & -36.7452178652916 & -373.241863438017 & -0.0402234377402611 \tabularnewline
82 & 8014 & 8007.17156689485 & -37.0536825523275 & 6.82843310514757 & -0.021459255816038 \tabularnewline
83 & 8007 & 8361.94826822558 & -24.1373573984932 & -354.948268225583 & 0.901653619266442 \tabularnewline
84 & 8718 & 8114.18180564776 & -31.4877741892893 & 603.818194352239 & -0.51592112143431 \tabularnewline
85 & 9486 & 8452.18340731434 & -19.3077286252956 & 1033.81659268566 & 0.853955893684807 \tabularnewline
86 & 9113 & 9201.23291688146 & 6.25157153243611 & -88.2329168814578 & 1.76612859822604 \tabularnewline
87 & 9025 & 8639.98477225346 & -12.7501275314844 & 385.015227746539 & -1.30039384344517 \tabularnewline
88 & 8476 & 8818.00696614439 & -6.35936508523394 & -342.006966144392 & 0.438520858161605 \tabularnewline
89 & 7952 & 8330.31875347575 & -22.4394905539869 & -378.318753475748 & -1.10898149929602 \tabularnewline
90 & 7759 & 8139.66294659527 & -28.0446070005128 & -380.662946595266 & -0.387541491277317 \tabularnewline
91 & 7835 & 7637.86296409845 & -43.8108323158303 & 197.137035901553 & -1.09087317449153 \tabularnewline
92 & 7600 & 7884.6524446643 & -34.1429100244401 & -284.652444664304 & 0.668956589558895 \tabularnewline
93 & 7651 & 7991.58849115058 & -29.4509998730536 & -340.588491150583 & 0.324669200456162 \tabularnewline
94 & 8319 & 8297.08494366783 & -18.3248514562943 & 21.9150563321658 & 0.770466822583259 \tabularnewline
95 & 8812 & 8951.11709309264 & 3.96421592359339 & -139.117093092644 & 1.54702066370602 \tabularnewline
96 & 8630 & 8334.2151827741 & -16.593253115132 & 295.784817225904 & -1.43175920496976 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=148374&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]12008[/C][C]12008[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]9169[/C][C]9404.58992051732[/C][C]-140.607835773963[/C][C]-235.589920517318[/C][C]-3.75533775044017[/C][/ROW]
[ROW][C]3[/C][C]8788[/C][C]8928.83207690168[/C][C]-147.265468693883[/C][C]-140.832076901677[/C][C]-0.780937742135369[/C][/ROW]
[ROW][C]4[/C][C]8417[/C][C]8578.45048988622[/C][C]-148.949751261336[/C][C]-161.450489886216[/C][C]-0.479317650281002[/C][/ROW]
[ROW][C]5[/C][C]8247[/C][C]8388.56927588887[/C][C]-149.31051856543[/C][C]-141.569275888874[/C][C]-0.0964621408871046[/C][/ROW]
[ROW][C]6[/C][C]8197[/C][C]8326.4781098058[/C][C]-148.40397148015[/C][C]-129.478109805804[/C][C]0.20538009001759[/C][/ROW]
[ROW][C]7[/C][C]8236[/C][C]8356.97176789575[/C][C]-146.335974296419[/C][C]-120.971767895747[/C][C]0.420967960154393[/C][/ROW]
[ROW][C]8[/C][C]8253[/C][C]8380.11087276641[/C][C]-144.205402405209[/C][C]-127.11087276641[/C][C]0.398526610541096[/C][/ROW]
[ROW][C]9[/C][C]7733[/C][C]7938.23508340784[/C][C]-148.239371225945[/C][C]-205.235083407842[/C][C]-0.69951400785533[/C][/ROW]
[ROW][C]10[/C][C]8366[/C][C]8392.2606480385[/C][C]-139.500743555486[/C][C]-26.2606480384968[/C][C]1.4143681646903[/C][/ROW]
[ROW][C]11[/C][C]8626[/C][C]8724.44045931879[/C][C]-132.218050587166[/C][C]-98.4404593187923[/C][C]1.10698798654584[/C][/ROW]
[ROW][C]12[/C][C]8863[/C][C]8967.93056577965[/C][C]-126.078790875428[/C][C]-104.930565779652[/C][C]0.881194822575202[/C][/ROW]
[ROW][C]13[/C][C]10102[/C][C]8669.75688663504[/C][C]-122.142131330821[/C][C]1432.24311336496[/C][C]-0.468222506241583[/C][/ROW]
[ROW][C]14[/C][C]8463[/C][C]8631.85939389205[/C][C]-119.587314046379[/C][C]-168.859393892047[/C][C]0.176288256464413[/C][/ROW]
[ROW][C]15[/C][C]9114[/C][C]9072.83697744199[/C][C]-104.335789439557[/C][C]41.1630225580097[/C][C]1.27989709942503[/C][/ROW]
[ROW][C]16[/C][C]8563[/C][C]8775.16208144718[/C][C]-108.208060577637[/C][C]-212.162081447177[/C][C]-0.451966648484196[/C][/ROW]
[ROW][C]17[/C][C]8872[/C][C]8925.05083542719[/C][C]-103.402565277897[/C][C]-53.0508354271873[/C][C]0.60274942500715[/C][/ROW]
[ROW][C]18[/C][C]8301[/C][C]8522.55687347386[/C][C]-109.218611904458[/C][C]-221.556873473865[/C][C]-0.697913368094057[/C][/ROW]
[ROW][C]19[/C][C]8301[/C][C]8406.01637913817[/C][C]-109.368082389169[/C][C]-105.016379138175[/C][C]-0.0170751279988551[/C][/ROW]
[ROW][C]20[/C][C]8278[/C][C]8314.87251958469[/C][C]-108.981828913154[/C][C]-36.8725195846935[/C][C]0.042477831065853[/C][/ROW]
[ROW][C]21[/C][C]7736[/C][C]8032.74869939394[/C][C]-112.774523459336[/C][C]-296.748699393942[/C][C]-0.403376616860836[/C][/ROW]
[ROW][C]22[/C][C]7973[/C][C]8006.71479373614[/C][C]-110.806837000917[/C][C]-33.7147937361371[/C][C]0.202023935141918[/C][/ROW]
[ROW][C]23[/C][C]8268[/C][C]8309.01655487128[/C][C]-101.202860479434[/C][C]-41.016554871275[/C][C]0.961811316044191[/C][/ROW]
[ROW][C]24[/C][C]9476[/C][C]9311.4543171554[/C][C]-77.9846309267205[/C][C]164.545682844601[/C][C]2.56517639833191[/C][/ROW]
[ROW][C]25[/C][C]11100[/C][C]9656.79378600488[/C][C]-72.8984931548011[/C][C]1443.20621399512[/C][C]1.03671562667262[/C][/ROW]
[ROW][C]26[/C][C]8962[/C][C]9338.5904576821[/C][C]-80.0310549467005[/C][C]-376.590457682102[/C][C]-0.546724627839685[/C][/ROW]
[ROW][C]27[/C][C]9173[/C][C]9131.73718708735[/C][C]-83.9700206489967[/C][C]41.2628129126512[/C][C]-0.288034531982271[/C][/ROW]
[ROW][C]28[/C][C]8738[/C][C]9015.48492852488[/C][C]-84.8660418224344[/C][C]-277.484928524881[/C][C]-0.0749076003432717[/C][/ROW]
[ROW][C]29[/C][C]8459[/C][C]8560.30399168496[/C][C]-94.5511050883786[/C][C]-101.303991684964[/C][C]-0.859584740316093[/C][/ROW]
[ROW][C]30[/C][C]8078[/C][C]8324.31892433705[/C][C]-98.258076100081[/C][C]-246.318924337049[/C][C]-0.328020745492447[/C][/ROW]
[ROW][C]31[/C][C]8411[/C][C]8453.34899119765[/C][C]-92.181123024876[/C][C]-42.3489911976525[/C][C]0.526932766712112[/C][/ROW]
[ROW][C]32[/C][C]8291[/C][C]8312.94140031545[/C][C]-93.4955826925061[/C][C]-21.9414003154462[/C][C]-0.111774933286065[/C][/ROW]
[ROW][C]33[/C][C]7810[/C][C]8129.01676315895[/C][C]-96.0039193511587[/C][C]-319.016763158955[/C][C]-0.209555850108468[/C][/ROW]
[ROW][C]34[/C][C]8616[/C][C]8574.78121482456[/C][C]-80.7481963075115[/C][C]41.2187851754445[/C][C]1.25538740610826[/C][/ROW]
[ROW][C]35[/C][C]8312[/C][C]8587.4331563838[/C][C]-78.1308826375517[/C][C]-275.433156383798[/C][C]0.216226272772258[/C][/ROW]
[ROW][C]36[/C][C]9692[/C][C]9388.65451386808[/C][C]-55.0474103478375[/C][C]303.345486131922[/C][C]2.03685484161856[/C][/ROW]
[ROW][C]37[/C][C]9911[/C][C]8660.13037455817[/C][C]-71.3289604819605[/C][C]1250.86962544183[/C][C]-1.59569228262834[/C][/ROW]
[ROW][C]38[/C][C]8915[/C][C]9114.79748886658[/C][C]-55.1867203262999[/C][C]-199.797488866575[/C][C]1.19501533185399[/C][/ROW]
[ROW][C]39[/C][C]9452[/C][C]9349.94632687914[/C][C]-45.6980705805726[/C][C]102.053673120863[/C][C]0.660109278525954[/C][/ROW]
[ROW][C]40[/C][C]9112[/C][C]9316.26126704332[/C][C]-45.3208208758174[/C][C]-204.261267043322[/C][C]0.0277446426363632[/C][/ROW]
[ROW][C]41[/C][C]8472[/C][C]8698.81793760159[/C][C]-62.639282105303[/C][C]-226.817937601586[/C][C]-1.32343748023698[/C][/ROW]
[ROW][C]42[/C][C]8230[/C][C]8515.28960551872[/C][C]-66.2680366231684[/C][C]-285.289605518722[/C][C]-0.279390220703286[/C][/ROW]
[ROW][C]43[/C][C]8384[/C][C]8394.95835946405[/C][C]-67.9012965077778[/C][C]-10.9583594640465[/C][C]-0.124909212702186[/C][/ROW]
[ROW][C]44[/C][C]8625[/C][C]8544.54646871384[/C][C]-61.2664129168962[/C][C]80.4535312861612[/C][C]0.502467478756729[/C][/ROW]
[ROW][C]45[/C][C]8221[/C][C]8609.1504741046[/C][C]-57.3916964774123[/C][C]-388.150474104603[/C][C]0.290812041238515[/C][/ROW]
[ROW][C]46[/C][C]8649[/C][C]8620.07124423244[/C][C]-55.2798947601332[/C][C]28.9287557675617[/C][C]0.157801369394816[/C][/ROW]
[ROW][C]47[/C][C]8625[/C][C]8967.03769878444[/C][C]-42.9778265554834[/C][C]-342.037698784441[/C][C]0.928120443861645[/C][/ROW]
[ROW][C]48[/C][C]10443[/C][C]9792.78487556212[/C][C]-17.2576582915003[/C][C]650.215124437884[/C][C]2.0087935102961[/C][/ROW]
[ROW][C]49[/C][C]10357[/C][C]9395.68870612137[/C][C]-28.3802226045018[/C][C]961.311293878629[/C][C]-0.887916183463132[/C][/ROW]
[ROW][C]50[/C][C]8586[/C][C]8962.44703450387[/C][C]-41.3380442788073[/C][C]-376.447034503866[/C][C]-0.926173758949898[/C][/ROW]
[ROW][C]51[/C][C]8892[/C][C]8801.82811056564[/C][C]-45.3082396785364[/C][C]90.1718894343657[/C][C]-0.271873847543805[/C][/ROW]
[ROW][C]52[/C][C]8329[/C][C]8475.59543681099[/C][C]-54.5384342419026[/C][C]-146.595436810988[/C][C]-0.647150228085046[/C][/ROW]
[ROW][C]53[/C][C]8101[/C][C]8310.13189236935[/C][C]-58.1089592862142[/C][C]-209.131892369353[/C][C]-0.256114983798845[/C][/ROW]
[ROW][C]54[/C][C]7922[/C][C]8198.43820019912[/C][C]-59.8188059161976[/C][C]-276.438200199124[/C][C]-0.123621227599398[/C][/ROW]
[ROW][C]55[/C][C]8120[/C][C]8159.81981513054[/C][C]-59.141747389824[/C][C]-39.8198151305416[/C][C]0.04889291482937[/C][/ROW]
[ROW][C]56[/C][C]7838[/C][C]7843.45446546159[/C][C]-67.3927308725585[/C][C]-5.45446546159193[/C][C]-0.593236499448212[/C][/ROW]
[ROW][C]57[/C][C]7735[/C][C]8049.31676773443[/C][C]-58.5923799058783[/C][C]-314.31676773443[/C][C]0.630252281897268[/C][/ROW]
[ROW][C]58[/C][C]8406[/C][C]8389.75896206158[/C][C]-45.7432814669296[/C][C]16.2410379384183[/C][C]0.920004970824469[/C][/ROW]
[ROW][C]59[/C][C]8209[/C][C]8676.84734274632[/C][C]-35.1196117336171[/C][C]-467.847342746318[/C][C]0.766681700522983[/C][/ROW]
[ROW][C]60[/C][C]9451[/C][C]8719.13984807108[/C][C]-32.6854319656265[/C][C]731.860151928921[/C][C]0.178816210165611[/C][/ROW]
[ROW][C]61[/C][C]10041[/C][C]8928.67339607925[/C][C]-25.0526561219807[/C][C]1112.32660392075[/C][C]0.56267564469825[/C][/ROW]
[ROW][C]62[/C][C]9411[/C][C]9586.13785366125[/C][C]-2.70641924734686[/C][C]-175.137853661252[/C][C]1.56576897726005[/C][/ROW]
[ROW][C]63[/C][C]10405[/C][C]10140.503880185[/C][C]15.9387020049404[/C][C]264.496119815049[/C][C]1.27263450126142[/C][/ROW]
[ROW][C]64[/C][C]8467[/C][C]8958.06390170706[/C][C]-24.0349175520583[/C][C]-491.063901707064[/C][C]-2.75707683771024[/C][/ROW]
[ROW][C]65[/C][C]8464[/C][C]8688.09782082898[/C][C]-32.1497795142561[/C][C]-224.09782082898[/C][C]-0.567238341496324[/C][/ROW]
[ROW][C]66[/C][C]8102[/C][C]8419.16169698964[/C][C]-39.9123464422492[/C][C]-317.161696989636[/C][C]-0.545818697404003[/C][/ROW]
[ROW][C]67[/C][C]7627[/C][C]7756.69938337103[/C][C]-60.2998138195468[/C][C]-129.699383371035[/C][C]-1.43442255596296[/C][/ROW]
[ROW][C]68[/C][C]7513[/C][C]7572.68958160782[/C][C]-64.3574265174321[/C][C]-59.6895816078186[/C][C]-0.285039037842726[/C][/ROW]
[ROW][C]69[/C][C]7510[/C][C]7808.68582823018[/C][C]-54.4927611094092[/C][C]-298.68582823018[/C][C]0.692027187157649[/C][/ROW]
[ROW][C]70[/C][C]8291[/C][C]8216.4410224546[/C][C]-39.3325442668676[/C][C]74.5589775454041[/C][C]1.06450044434317[/C][/ROW]
[ROW][C]71[/C][C]8064[/C][C]8482.0128312191[/C][C]-29.3902676449137[/C][C]-418.012831219097[/C][C]0.701832666604542[/C][/ROW]
[ROW][C]72[/C][C]9383[/C][C]8677.93220905873[/C][C]-22.0923588761677[/C][C]705.067790941269[/C][C]0.520075249874582[/C][/ROW]
[ROW][C]73[/C][C]9706[/C][C]8756.61315745104[/C][C]-18.81634778756[/C][C]949.386842548958[/C][C]0.233337630627539[/C][/ROW]
[ROW][C]74[/C][C]8579[/C][C]8841.56692920431[/C][C]-15.3815080756876[/C][C]-262.566929204312[/C][C]0.238369084822048[/C][/ROW]
[ROW][C]75[/C][C]9474[/C][C]8930.25889025792[/C][C]-11.8949612342796[/C][C]543.74110974208[/C][C]0.238175230028662[/C][/ROW]
[ROW][C]76[/C][C]8318[/C][C]8798.98843415873[/C][C]-15.8928826267144[/C][C]-480.988434158735[/C][C]-0.274476156278953[/C][/ROW]
[ROW][C]77[/C][C]8213[/C][C]8458.0433802691[/C][C]-26.7190109955502[/C][C]-245.043380269105[/C][C]-0.749248833457153[/C][/ROW]
[ROW][C]78[/C][C]8059[/C][C]8260.89265218389[/C][C]-32.371292101145[/C][C]-201.892652183885[/C][C]-0.392716769358374[/C][/ROW]
[ROW][C]79[/C][C]9111[/C][C]8987.62128858633[/C][C]-7.23207525625505[/C][C]123.378711413673[/C][C]1.74827375624921[/C][/ROW]
[ROW][C]80[/C][C]7708[/C][C]8106.87825768887[/C][C]-36.1664699410537[/C][C]-398.878257688866[/C][C]-2.01151434711281[/C][/ROW]
[ROW][C]81[/C][C]7680[/C][C]8053.24186343802[/C][C]-36.7452178652916[/C][C]-373.241863438017[/C][C]-0.0402234377402611[/C][/ROW]
[ROW][C]82[/C][C]8014[/C][C]8007.17156689485[/C][C]-37.0536825523275[/C][C]6.82843310514757[/C][C]-0.021459255816038[/C][/ROW]
[ROW][C]83[/C][C]8007[/C][C]8361.94826822558[/C][C]-24.1373573984932[/C][C]-354.948268225583[/C][C]0.901653619266442[/C][/ROW]
[ROW][C]84[/C][C]8718[/C][C]8114.18180564776[/C][C]-31.4877741892893[/C][C]603.818194352239[/C][C]-0.51592112143431[/C][/ROW]
[ROW][C]85[/C][C]9486[/C][C]8452.18340731434[/C][C]-19.3077286252956[/C][C]1033.81659268566[/C][C]0.853955893684807[/C][/ROW]
[ROW][C]86[/C][C]9113[/C][C]9201.23291688146[/C][C]6.25157153243611[/C][C]-88.2329168814578[/C][C]1.76612859822604[/C][/ROW]
[ROW][C]87[/C][C]9025[/C][C]8639.98477225346[/C][C]-12.7501275314844[/C][C]385.015227746539[/C][C]-1.30039384344517[/C][/ROW]
[ROW][C]88[/C][C]8476[/C][C]8818.00696614439[/C][C]-6.35936508523394[/C][C]-342.006966144392[/C][C]0.438520858161605[/C][/ROW]
[ROW][C]89[/C][C]7952[/C][C]8330.31875347575[/C][C]-22.4394905539869[/C][C]-378.318753475748[/C][C]-1.10898149929602[/C][/ROW]
[ROW][C]90[/C][C]7759[/C][C]8139.66294659527[/C][C]-28.0446070005128[/C][C]-380.662946595266[/C][C]-0.387541491277317[/C][/ROW]
[ROW][C]91[/C][C]7835[/C][C]7637.86296409845[/C][C]-43.8108323158303[/C][C]197.137035901553[/C][C]-1.09087317449153[/C][/ROW]
[ROW][C]92[/C][C]7600[/C][C]7884.6524446643[/C][C]-34.1429100244401[/C][C]-284.652444664304[/C][C]0.668956589558895[/C][/ROW]
[ROW][C]93[/C][C]7651[/C][C]7991.58849115058[/C][C]-29.4509998730536[/C][C]-340.588491150583[/C][C]0.324669200456162[/C][/ROW]
[ROW][C]94[/C][C]8319[/C][C]8297.08494366783[/C][C]-18.3248514562943[/C][C]21.9150563321658[/C][C]0.770466822583259[/C][/ROW]
[ROW][C]95[/C][C]8812[/C][C]8951.11709309264[/C][C]3.96421592359339[/C][C]-139.117093092644[/C][C]1.54702066370602[/C][/ROW]
[ROW][C]96[/C][C]8630[/C][C]8334.2151827741[/C][C]-16.593253115132[/C][C]295.784817225904[/C][C]-1.43175920496976[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=148374&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=148374&T=1

As an alternative you can also use a QR Code:  
QR Code


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

Structural Time Series Model
tObservedLevelSlopeSeasonalStand. Residuals
11200812008000
291699404.58992051732-140.607835773963-235.589920517318-3.75533775044017
387888928.83207690168-147.265468693883-140.832076901677-0.780937742135369
484178578.45048988622-148.949751261336-161.450489886216-0.479317650281002
582478388.56927588887-149.31051856543-141.569275888874-0.0964621408871046
681978326.4781098058-148.40397148015-129.4781098058040.20538009001759
782368356.97176789575-146.335974296419-120.9717678957470.420967960154393
882538380.11087276641-144.205402405209-127.110872766410.398526610541096
977337938.23508340784-148.239371225945-205.235083407842-0.69951400785533
1083668392.2606480385-139.500743555486-26.26064803849681.4143681646903
1186268724.44045931879-132.218050587166-98.44045931879231.10698798654584
1288638967.93056577965-126.078790875428-104.9305657796520.881194822575202
13101028669.75688663504-122.1421313308211432.24311336496-0.468222506241583
1484638631.85939389205-119.587314046379-168.8593938920470.176288256464413
1591149072.83697744199-104.33578943955741.16302255800971.27989709942503
1685638775.16208144718-108.208060577637-212.162081447177-0.451966648484196
1788728925.05083542719-103.402565277897-53.05083542718730.60274942500715
1883018522.55687347386-109.218611904458-221.556873473865-0.697913368094057
1983018406.01637913817-109.368082389169-105.016379138175-0.0170751279988551
2082788314.87251958469-108.981828913154-36.87251958469350.042477831065853
2177368032.74869939394-112.774523459336-296.748699393942-0.403376616860836
2279738006.71479373614-110.806837000917-33.71479373613710.202023935141918
2382688309.01655487128-101.202860479434-41.0165548712750.961811316044191
2494769311.4543171554-77.9846309267205164.5456828446012.56517639833191
25111009656.79378600488-72.89849315480111443.206213995121.03671562667262
2689629338.5904576821-80.0310549467005-376.590457682102-0.546724627839685
2791739131.73718708735-83.970020648996741.2628129126512-0.288034531982271
2887389015.48492852488-84.8660418224344-277.484928524881-0.0749076003432717
2984598560.30399168496-94.5511050883786-101.303991684964-0.859584740316093
3080788324.31892433705-98.258076100081-246.318924337049-0.328020745492447
3184118453.34899119765-92.181123024876-42.34899119765250.526932766712112
3282918312.94140031545-93.4955826925061-21.9414003154462-0.111774933286065
3378108129.01676315895-96.0039193511587-319.016763158955-0.209555850108468
3486168574.78121482456-80.748196307511541.21878517544451.25538740610826
3583128587.4331563838-78.1308826375517-275.4331563837980.216226272772258
3696929388.65451386808-55.0474103478375303.3454861319222.03685484161856
3799118660.13037455817-71.32896048196051250.86962544183-1.59569228262834
3889159114.79748886658-55.1867203262999-199.7974888665751.19501533185399
3994529349.94632687914-45.6980705805726102.0536731208630.660109278525954
4091129316.26126704332-45.3208208758174-204.2612670433220.0277446426363632
4184728698.81793760159-62.639282105303-226.817937601586-1.32343748023698
4282308515.28960551872-66.2680366231684-285.289605518722-0.279390220703286
4383848394.95835946405-67.9012965077778-10.9583594640465-0.124909212702186
4486258544.54646871384-61.266412916896280.45353128616120.502467478756729
4582218609.1504741046-57.3916964774123-388.1504741046030.290812041238515
4686498620.07124423244-55.279894760133228.92875576756170.157801369394816
4786258967.03769878444-42.9778265554834-342.0376987844410.928120443861645
48104439792.78487556212-17.2576582915003650.2151244378842.0087935102961
49103579395.68870612137-28.3802226045018961.311293878629-0.887916183463132
5085868962.44703450387-41.3380442788073-376.447034503866-0.926173758949898
5188928801.82811056564-45.308239678536490.1718894343657-0.271873847543805
5283298475.59543681099-54.5384342419026-146.595436810988-0.647150228085046
5381018310.13189236935-58.1089592862142-209.131892369353-0.256114983798845
5479228198.43820019912-59.8188059161976-276.438200199124-0.123621227599398
5581208159.81981513054-59.141747389824-39.81981513054160.04889291482937
5678387843.45446546159-67.3927308725585-5.45446546159193-0.593236499448212
5777358049.31676773443-58.5923799058783-314.316767734430.630252281897268
5884068389.75896206158-45.743281466929616.24103793841830.920004970824469
5982098676.84734274632-35.1196117336171-467.8473427463180.766681700522983
6094518719.13984807108-32.6854319656265731.8601519289210.178816210165611
61100418928.67339607925-25.05265612198071112.326603920750.56267564469825
6294119586.13785366125-2.70641924734686-175.1378536612521.56576897726005
631040510140.50388018515.9387020049404264.4961198150491.27263450126142
6484678958.06390170706-24.0349175520583-491.063901707064-2.75707683771024
6584648688.09782082898-32.1497795142561-224.09782082898-0.567238341496324
6681028419.16169698964-39.9123464422492-317.161696989636-0.545818697404003
6776277756.69938337103-60.2998138195468-129.699383371035-1.43442255596296
6875137572.68958160782-64.3574265174321-59.6895816078186-0.285039037842726
6975107808.68582823018-54.4927611094092-298.685828230180.692027187157649
7082918216.4410224546-39.332544266867674.55897754540411.06450044434317
7180648482.0128312191-29.3902676449137-418.0128312190970.701832666604542
7293838677.93220905873-22.0923588761677705.0677909412690.520075249874582
7397068756.61315745104-18.81634778756949.3868425489580.233337630627539
7485798841.56692920431-15.3815080756876-262.5669292043120.238369084822048
7594748930.25889025792-11.8949612342796543.741109742080.238175230028662
7683188798.98843415873-15.8928826267144-480.988434158735-0.274476156278953
7782138458.0433802691-26.7190109955502-245.043380269105-0.749248833457153
7880598260.89265218389-32.371292101145-201.892652183885-0.392716769358374
7991118987.62128858633-7.23207525625505123.3787114136731.74827375624921
8077088106.87825768887-36.1664699410537-398.878257688866-2.01151434711281
8176808053.24186343802-36.7452178652916-373.241863438017-0.0402234377402611
8280148007.17156689485-37.05368255232756.82843310514757-0.021459255816038
8380078361.94826822558-24.1373573984932-354.9482682255830.901653619266442
8487188114.18180564776-31.4877741892893603.818194352239-0.51592112143431
8594868452.18340731434-19.30772862529561033.816592685660.853955893684807
8691139201.232916881466.25157153243611-88.23291688145781.76612859822604
8790258639.98477225346-12.7501275314844385.015227746539-1.30039384344517
8884768818.00696614439-6.35936508523394-342.0069661443920.438520858161605
8979528330.31875347575-22.4394905539869-378.318753475748-1.10898149929602
9077598139.66294659527-28.0446070005128-380.662946595266-0.387541491277317
9178357637.86296409845-43.8108323158303197.137035901553-1.09087317449153
9276007884.6524446643-34.1429100244401-284.6524446643040.668956589558895
9376517991.58849115058-29.4509998730536-340.5884911505830.324669200456162
9483198297.08494366783-18.324851456294321.91505633216580.770466822583259
9588128951.117093092643.96421592359339-139.1170930926441.54702066370602
9686308334.2151827741-16.593253115132295.784817225904-1.43175920496976


Figures (Output of Computation)

Input Parameters & R Code

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')