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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 computationWed, 21 Dec 2011 05:54:36 -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/Dec/21/t132446499488eyrxieh7uetaq.htm/, Retrieved Tue, 07 May 2024 12:21:50 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=158483, Retrieved Tue, 07 May 2024 12:21:50 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact82
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Structural Time Series Models] [] [2011-12-21 10:54:36] [bd7a66e2f212a6bc9afe853e3942ee45] [Current]
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Dataseries X:
370.47
371.44
372.39
373.32
373.77
373.13
371.51
369.59
368.12
368.38
369.64
371.11
372.38
373.08
373.87
374.93
375.58
375.44
373.91
371.77
370.72
370.5
372.19
373.71
374.92
375.63
376.51
377.75
378.54
378.21
376.65
374.28
373.12
373.1
374.67
375.97
377.03
377.87
378.88
380.42
380.62
379.66
377.48
376.07
374.1
374.47
376.15
377.51
378.43
379.7
380.91
382.2
382.45
382.14
380.6
378.6
376.72
376.98
378.29
380.07
381.36
382.19
382.65
384.65
384.94
384.01
382.15
380.33
378.81
379.06
380.17
381.85
382.88
383.77
384.42
386.36
386.53
386.01
384.45
381.96
380.81
381.09
382.37
383.84
385.42
385.72
385.96
387.18
388.5
387.88
386.38
384.15
383.07
382.98
384.11
385.54
386.92
387.41
388.77
389.46
390.18
389.43
387.74
385.91
384.77
384.38
385.99
387.26




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 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 & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=158483&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]2 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=158483&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=158483&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 time2 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net







Structural Time Series Model
tObservedLevelSlopeSeasonalStand. Residuals
1370.47370.47000
2371.44371.4400000037670.97000000327016-3.76684181902006e-091.02529877083535
3372.39372.3899999997340.9499999957650542.6571102845477e-10-0.021140188714704
4373.32373.3199999997450.9299999999999962.54875055374607e-10-0.021140176399592
5373.77373.7699999997450.4499999999999882.54875076992641e-10-0.507364339423279
6373.13373.129999999745-0.6399999999999762.54875100255522e-10-1.15213985410697
7371.51371.509999999745-1.619999999999982.54875087919145e-10-1.03586885965585
8369.59369.589999999745-1.919999999999982.54875057254437e-10-0.317102712139545
9368.12368.119999999745-1.469999999999982.54875029996918e-100.475654068209316
10368.38368.3799999997450.2599999999999882.54874978654091e-101.82862564000468
11369.64369.6399999997451.262.548750279996e-101.05700904046516
12371.11371.1099999997451.470000000000052.54875056549501e-100.221971898497731
13372.38372.379999998041.269999998231341.96042918149468e-09-0.211401809582899
14373.08373.0800000004550.699999998482436-4.54703978487863e-10-0.602495151017404
15373.87373.8699999998260.7900000004202571.73571655090225e-100.0951308158424535
16374.93374.929999999681.060000000000023.19857153258718e-100.285392441381319
17375.58375.579999999680.6499999999999993.19857202839205e-10-0.433373706590736
18375.44375.43999999968-0.1399999999999643.19857230449191e-10-0.835037141967428
19373.91373.90999999968-1.529999999999953.19857293305969e-10-1.46924256624654
20371.77371.76999999968-2.140000000000023.19857159368162e-10-0.644775514683814
21370.72370.71999999968-1.049999999999933.19857105910528e-101.15213985410711
22370.5370.49999999968-0.2200000000000023.19857099801084e-100.877317503585997
23372.19372.189999999681.690000000000023.19857000757599e-102.01888726728846
24373.71373.709999999681.520000000000013.19857246427737e-10-0.179691536879091
25374.92374.920000001221.21000000144232-1.22023035610615e-09-0.327672800431174
26375.63375.6299999979970.7099999933271572.00286262741718e-09-0.528504527246938
27376.51376.5099999998640.8800000038472611.36143689159847e-100.17969154828659
28377.75377.7499999996691.239999999999993.31190950509716e-100.380523251700751
29378.54378.5399999996690.7899999999999853.31191142134774e-10-0.475654068209327
30378.21378.209999999669-0.3300000000000413.31191117696997e-10-1.18385012532099
31376.65376.649999999669-1.560000000000023.31191116522104e-10-1.30012111977211
32374.28374.279999999669-2.370000000000053.31191208986188e-10-0.856177322776795
33373.12373.119999999669-1.159999999999983.31190698495156e-101.27898093896291
34373.1373.099999999669-0.02000000000001033.31191117931976e-101.20499030613023
35374.67374.6699999996691.573.31190668417893e-101.6806443743396
36375.97375.9699999996691.33.31191206048958e-10-0.285392440925593
37377.03377.0300000044341.06000000468902-4.43365335246438e-09-0.2536821642997
38377.87377.86999999680.8399999908480793.20041161521311e-09-0.232542002844414
39378.88378.8799999998551.010000005036351.44547918121599e-100.179691552163881
40380.42380.4199999995681.540000000000014.31700751447527e-100.560214787889571
41380.62380.6199999995680.1999999999999984.31701200139188e-10-1.41639211422331
42379.66379.659999999568-0.9599999999999464.31701042703516e-10-1.22613048693951
43377.48377.479999999568-2.180000000000014.31700862827389e-10-1.28955102936754
44376.07376.069999999568-1.414.31701031307054e-100.813896961158171
45374.1374.099999999568-1.969999999999924.31700720547841e-10-0.591925062660399
46374.47374.4699999995680.3700000000000244.31700890789845e-102.47340115468839
47376.15376.1499999995681.684.31700374306855e-101.38468184300931
48377.51377.5099999995681.360000000000034.31701187215371e-10-0.338242892948814
49378.43378.4300000050010.920000005293931-5.00103070288597e-09-0.465083971373693
50379.7379.7000000000291.26999999744319-2.94746505219079e-110.369953154770093
51380.91380.9099999996921.209999998963853.07653037125589e-10-0.0634205409220901
52382.2382.1999999996491.289999999999963.50996052729931e-100.0845607245990327
53382.45382.4499999996490.2500000000000093.50996928377734e-10-1.0992894020837
54382.14382.139999999649-0.3099999999999823.50996138849599e-10-0.591925062660473
55380.6380.599999999649-1.539999999999933.50997092040334e-10-1.30012111977208
56378.6378.599999999649-2.000000000000013.50996071645717e-10-0.486224158614054
57376.72376.719999999649-1.883.50996604577206e-100.126841084855835
58376.98376.9799999996490.2600000000000013.50996344573373e-102.26199934659541
59378.29378.2899999996491.310000000000033.50995802947673e-101.10985949248843
60380.07380.0699999996491.780000000000013.50996486500457e-100.496794249018601
61381.36381.3600000007151.29000000091128-7.14911702935408e-10-0.51793442793451
62382.19382.1899999984860.8299999945973881.51395898260898e-09-0.486224163849449
63382.65382.6499999994780.4599999966817745.21635392844539e-10-0.391093343394996
64384.65384.6499999986441.999999999999991.35600277595427e-091.62779393095659
65384.94384.9399999986440.2900000000000061.35600507451507e-09-1.80748545919539
66384.01384.009999998644-0.9300000000000251.35600353470023e-09-1.28955102936751
67382.15382.149999998644-1.860000000000041.35600469443717e-09-0.9830184076326
68380.33380.329999998644-1.820000000000021.35600308671351e-090.042280361618624
69378.81378.809999998644-1.520000000000011.35600454875043e-090.317102712139551
70379.06379.0599999986440.2500000000000221.35600358827536e-091.87090600162335
71380.17380.1699999986441.110000000000031.35600342978228e-090.909027774800038
72381.85381.8499999986441.680000000000021.35600379082691e-090.602495153065123
73382.88382.8799999997561.030000000907032.43826437035581e-10-0.687055874109707
74383.77383.7700000109120.890000010189677-1.091179419665e-08-0.14798125541552
75384.42384.4199999986520.6499999849445321.34771471943915e-09-0.253682196802105
76386.36386.3599999979531.939999999999982.04663055871983e-091.3635416824134
77386.53386.5299999979530.1699999999999512.04663418361745e-09-1.87090600162334
78386.01386.009999997953-0.5199999999999752.04663190432491e-09-0.729336237920873
79384.45384.449999997953-1.559999999999982.04663370860818e-09-1.09928940208376
80381.96381.959999997953-2.489999999999972.04663166723149e-09-0.983018407632578
81380.81380.809999997953-1.149999999999982.04663324945997e-091.41639211422329
82381.09381.0899999979530.2799999999999822.04663205694352e-091.51152292786512
83382.37382.3699999979531.280000000000052.04663230461098e-091.05700904046522
84383.84383.8399999979531.470000000000012.04663222988775e-090.200831717688332
85385.42385.4199999996821.580000001763783.17600007230327e-100.116270996106675
86385.72385.7200000134440.300000004929971-1.34436042298988e-08-1.35297156444629
87385.96385.9599999977580.2399999836155462.24180791236288e-09-0.0634205650589787
88387.18387.1799999972271.220000000000042.77276413297543e-091.03586888024078
89388.5388.4999999972271.320000000000012.77276884359172e-090.105700904046475
90387.88387.879999997227-0.6199999999999942.77276722635141e-09-2.05059753850239
91386.38386.379999997227-1.499999999999992.77276775528827e-09-0.930167955609328
92384.15384.149999997227-2.230000000000012.7727668123191e-09-0.771616599539579
93383.07383.069999997227-1.079999999999982.77276782108228e-091.21556039653495
94382.98382.979999997227-0.08999999999997362.77276691312493e-091.0464389500605
95384.11384.1099999972271.132.7727665715835e-091.28955102936745
96385.54385.5399999972271.430000000000012.77276738249471e-090.317102712139554
97386.92386.9200000077721.38000001052878-7.7718020328195e-09-0.0528504407993283
98387.41387.4100000144530.490000000540655-1.44528968785112e-08-0.940738053788597
99388.77388.7699999978321.359999993514262.16834318784344e-090.919597859249906
100389.46389.4599999981950.6900000000000271.80533344947714e-09-0.708196052489264
101390.18390.1799999981950.720000000000011.80533616629985e-090.031710271213937
102389.43389.429999998195-0.7500000000000071.80533597561469e-09-1.55380328948378
103387.74387.739999998195-1.689999999999991.8053354845094e-09-0.993588498037225
104385.91385.909999998195-1.829999999999971.80533540120949e-09-0.147981265665094
105384.77384.769999998195-1.140000000000021.80533588033087e-090.729336237920901
106384.38384.379999998195-0.3899999999999471.80533547746005e-090.792756780348933
107385.99385.9899999981951.610000000000011.80533414736357e-092.11401808093025
108387.26387.2599999981951.269999999999991.80533636403446e-09-0.359383073758173

\begin{tabular}{lllllllll}
\hline
Structural Time Series Model \tabularnewline
t & Observed & Level & Slope & Seasonal & Stand. Residuals \tabularnewline
1 & 370.47 & 370.47 & 0 & 0 & 0 \tabularnewline
2 & 371.44 & 371.440000003767 & 0.97000000327016 & -3.76684181902006e-09 & 1.02529877083535 \tabularnewline
3 & 372.39 & 372.389999999734 & 0.949999995765054 & 2.6571102845477e-10 & -0.021140188714704 \tabularnewline
4 & 373.32 & 373.319999999745 & 0.929999999999996 & 2.54875055374607e-10 & -0.021140176399592 \tabularnewline
5 & 373.77 & 373.769999999745 & 0.449999999999988 & 2.54875076992641e-10 & -0.507364339423279 \tabularnewline
6 & 373.13 & 373.129999999745 & -0.639999999999976 & 2.54875100255522e-10 & -1.15213985410697 \tabularnewline
7 & 371.51 & 371.509999999745 & -1.61999999999998 & 2.54875087919145e-10 & -1.03586885965585 \tabularnewline
8 & 369.59 & 369.589999999745 & -1.91999999999998 & 2.54875057254437e-10 & -0.317102712139545 \tabularnewline
9 & 368.12 & 368.119999999745 & -1.46999999999998 & 2.54875029996918e-10 & 0.475654068209316 \tabularnewline
10 & 368.38 & 368.379999999745 & 0.259999999999988 & 2.54874978654091e-10 & 1.82862564000468 \tabularnewline
11 & 369.64 & 369.639999999745 & 1.26 & 2.548750279996e-10 & 1.05700904046516 \tabularnewline
12 & 371.11 & 371.109999999745 & 1.47000000000005 & 2.54875056549501e-10 & 0.221971898497731 \tabularnewline
13 & 372.38 & 372.37999999804 & 1.26999999823134 & 1.96042918149468e-09 & -0.211401809582899 \tabularnewline
14 & 373.08 & 373.080000000455 & 0.699999998482436 & -4.54703978487863e-10 & -0.602495151017404 \tabularnewline
15 & 373.87 & 373.869999999826 & 0.790000000420257 & 1.73571655090225e-10 & 0.0951308158424535 \tabularnewline
16 & 374.93 & 374.92999999968 & 1.06000000000002 & 3.19857153258718e-10 & 0.285392441381319 \tabularnewline
17 & 375.58 & 375.57999999968 & 0.649999999999999 & 3.19857202839205e-10 & -0.433373706590736 \tabularnewline
18 & 375.44 & 375.43999999968 & -0.139999999999964 & 3.19857230449191e-10 & -0.835037141967428 \tabularnewline
19 & 373.91 & 373.90999999968 & -1.52999999999995 & 3.19857293305969e-10 & -1.46924256624654 \tabularnewline
20 & 371.77 & 371.76999999968 & -2.14000000000002 & 3.19857159368162e-10 & -0.644775514683814 \tabularnewline
21 & 370.72 & 370.71999999968 & -1.04999999999993 & 3.19857105910528e-10 & 1.15213985410711 \tabularnewline
22 & 370.5 & 370.49999999968 & -0.220000000000002 & 3.19857099801084e-10 & 0.877317503585997 \tabularnewline
23 & 372.19 & 372.18999999968 & 1.69000000000002 & 3.19857000757599e-10 & 2.01888726728846 \tabularnewline
24 & 373.71 & 373.70999999968 & 1.52000000000001 & 3.19857246427737e-10 & -0.179691536879091 \tabularnewline
25 & 374.92 & 374.92000000122 & 1.21000000144232 & -1.22023035610615e-09 & -0.327672800431174 \tabularnewline
26 & 375.63 & 375.629999997997 & 0.709999993327157 & 2.00286262741718e-09 & -0.528504527246938 \tabularnewline
27 & 376.51 & 376.509999999864 & 0.880000003847261 & 1.36143689159847e-10 & 0.17969154828659 \tabularnewline
28 & 377.75 & 377.749999999669 & 1.23999999999999 & 3.31190950509716e-10 & 0.380523251700751 \tabularnewline
29 & 378.54 & 378.539999999669 & 0.789999999999985 & 3.31191142134774e-10 & -0.475654068209327 \tabularnewline
30 & 378.21 & 378.209999999669 & -0.330000000000041 & 3.31191117696997e-10 & -1.18385012532099 \tabularnewline
31 & 376.65 & 376.649999999669 & -1.56000000000002 & 3.31191116522104e-10 & -1.30012111977211 \tabularnewline
32 & 374.28 & 374.279999999669 & -2.37000000000005 & 3.31191208986188e-10 & -0.856177322776795 \tabularnewline
33 & 373.12 & 373.119999999669 & -1.15999999999998 & 3.31190698495156e-10 & 1.27898093896291 \tabularnewline
34 & 373.1 & 373.099999999669 & -0.0200000000000103 & 3.31191117931976e-10 & 1.20499030613023 \tabularnewline
35 & 374.67 & 374.669999999669 & 1.57 & 3.31190668417893e-10 & 1.6806443743396 \tabularnewline
36 & 375.97 & 375.969999999669 & 1.3 & 3.31191206048958e-10 & -0.285392440925593 \tabularnewline
37 & 377.03 & 377.030000004434 & 1.06000000468902 & -4.43365335246438e-09 & -0.2536821642997 \tabularnewline
38 & 377.87 & 377.8699999968 & 0.839999990848079 & 3.20041161521311e-09 & -0.232542002844414 \tabularnewline
39 & 378.88 & 378.879999999855 & 1.01000000503635 & 1.44547918121599e-10 & 0.179691552163881 \tabularnewline
40 & 380.42 & 380.419999999568 & 1.54000000000001 & 4.31700751447527e-10 & 0.560214787889571 \tabularnewline
41 & 380.62 & 380.619999999568 & 0.199999999999998 & 4.31701200139188e-10 & -1.41639211422331 \tabularnewline
42 & 379.66 & 379.659999999568 & -0.959999999999946 & 4.31701042703516e-10 & -1.22613048693951 \tabularnewline
43 & 377.48 & 377.479999999568 & -2.18000000000001 & 4.31700862827389e-10 & -1.28955102936754 \tabularnewline
44 & 376.07 & 376.069999999568 & -1.41 & 4.31701031307054e-10 & 0.813896961158171 \tabularnewline
45 & 374.1 & 374.099999999568 & -1.96999999999992 & 4.31700720547841e-10 & -0.591925062660399 \tabularnewline
46 & 374.47 & 374.469999999568 & 0.370000000000024 & 4.31700890789845e-10 & 2.47340115468839 \tabularnewline
47 & 376.15 & 376.149999999568 & 1.68 & 4.31700374306855e-10 & 1.38468184300931 \tabularnewline
48 & 377.51 & 377.509999999568 & 1.36000000000003 & 4.31701187215371e-10 & -0.338242892948814 \tabularnewline
49 & 378.43 & 378.430000005001 & 0.920000005293931 & -5.00103070288597e-09 & -0.465083971373693 \tabularnewline
50 & 379.7 & 379.700000000029 & 1.26999999744319 & -2.94746505219079e-11 & 0.369953154770093 \tabularnewline
51 & 380.91 & 380.909999999692 & 1.20999999896385 & 3.07653037125589e-10 & -0.0634205409220901 \tabularnewline
52 & 382.2 & 382.199999999649 & 1.28999999999996 & 3.50996052729931e-10 & 0.0845607245990327 \tabularnewline
53 & 382.45 & 382.449999999649 & 0.250000000000009 & 3.50996928377734e-10 & -1.0992894020837 \tabularnewline
54 & 382.14 & 382.139999999649 & -0.309999999999982 & 3.50996138849599e-10 & -0.591925062660473 \tabularnewline
55 & 380.6 & 380.599999999649 & -1.53999999999993 & 3.50997092040334e-10 & -1.30012111977208 \tabularnewline
56 & 378.6 & 378.599999999649 & -2.00000000000001 & 3.50996071645717e-10 & -0.486224158614054 \tabularnewline
57 & 376.72 & 376.719999999649 & -1.88 & 3.50996604577206e-10 & 0.126841084855835 \tabularnewline
58 & 376.98 & 376.979999999649 & 0.260000000000001 & 3.50996344573373e-10 & 2.26199934659541 \tabularnewline
59 & 378.29 & 378.289999999649 & 1.31000000000003 & 3.50995802947673e-10 & 1.10985949248843 \tabularnewline
60 & 380.07 & 380.069999999649 & 1.78000000000001 & 3.50996486500457e-10 & 0.496794249018601 \tabularnewline
61 & 381.36 & 381.360000000715 & 1.29000000091128 & -7.14911702935408e-10 & -0.51793442793451 \tabularnewline
62 & 382.19 & 382.189999998486 & 0.829999994597388 & 1.51395898260898e-09 & -0.486224163849449 \tabularnewline
63 & 382.65 & 382.649999999478 & 0.459999996681774 & 5.21635392844539e-10 & -0.391093343394996 \tabularnewline
64 & 384.65 & 384.649999998644 & 1.99999999999999 & 1.35600277595427e-09 & 1.62779393095659 \tabularnewline
65 & 384.94 & 384.939999998644 & 0.290000000000006 & 1.35600507451507e-09 & -1.80748545919539 \tabularnewline
66 & 384.01 & 384.009999998644 & -0.930000000000025 & 1.35600353470023e-09 & -1.28955102936751 \tabularnewline
67 & 382.15 & 382.149999998644 & -1.86000000000004 & 1.35600469443717e-09 & -0.9830184076326 \tabularnewline
68 & 380.33 & 380.329999998644 & -1.82000000000002 & 1.35600308671351e-09 & 0.042280361618624 \tabularnewline
69 & 378.81 & 378.809999998644 & -1.52000000000001 & 1.35600454875043e-09 & 0.317102712139551 \tabularnewline
70 & 379.06 & 379.059999998644 & 0.250000000000022 & 1.35600358827536e-09 & 1.87090600162335 \tabularnewline
71 & 380.17 & 380.169999998644 & 1.11000000000003 & 1.35600342978228e-09 & 0.909027774800038 \tabularnewline
72 & 381.85 & 381.849999998644 & 1.68000000000002 & 1.35600379082691e-09 & 0.602495153065123 \tabularnewline
73 & 382.88 & 382.879999999756 & 1.03000000090703 & 2.43826437035581e-10 & -0.687055874109707 \tabularnewline
74 & 383.77 & 383.770000010912 & 0.890000010189677 & -1.091179419665e-08 & -0.14798125541552 \tabularnewline
75 & 384.42 & 384.419999998652 & 0.649999984944532 & 1.34771471943915e-09 & -0.253682196802105 \tabularnewline
76 & 386.36 & 386.359999997953 & 1.93999999999998 & 2.04663055871983e-09 & 1.3635416824134 \tabularnewline
77 & 386.53 & 386.529999997953 & 0.169999999999951 & 2.04663418361745e-09 & -1.87090600162334 \tabularnewline
78 & 386.01 & 386.009999997953 & -0.519999999999975 & 2.04663190432491e-09 & -0.729336237920873 \tabularnewline
79 & 384.45 & 384.449999997953 & -1.55999999999998 & 2.04663370860818e-09 & -1.09928940208376 \tabularnewline
80 & 381.96 & 381.959999997953 & -2.48999999999997 & 2.04663166723149e-09 & -0.983018407632578 \tabularnewline
81 & 380.81 & 380.809999997953 & -1.14999999999998 & 2.04663324945997e-09 & 1.41639211422329 \tabularnewline
82 & 381.09 & 381.089999997953 & 0.279999999999982 & 2.04663205694352e-09 & 1.51152292786512 \tabularnewline
83 & 382.37 & 382.369999997953 & 1.28000000000005 & 2.04663230461098e-09 & 1.05700904046522 \tabularnewline
84 & 383.84 & 383.839999997953 & 1.47000000000001 & 2.04663222988775e-09 & 0.200831717688332 \tabularnewline
85 & 385.42 & 385.419999999682 & 1.58000000176378 & 3.17600007230327e-10 & 0.116270996106675 \tabularnewline
86 & 385.72 & 385.720000013444 & 0.300000004929971 & -1.34436042298988e-08 & -1.35297156444629 \tabularnewline
87 & 385.96 & 385.959999997758 & 0.239999983615546 & 2.24180791236288e-09 & -0.0634205650589787 \tabularnewline
88 & 387.18 & 387.179999997227 & 1.22000000000004 & 2.77276413297543e-09 & 1.03586888024078 \tabularnewline
89 & 388.5 & 388.499999997227 & 1.32000000000001 & 2.77276884359172e-09 & 0.105700904046475 \tabularnewline
90 & 387.88 & 387.879999997227 & -0.619999999999994 & 2.77276722635141e-09 & -2.05059753850239 \tabularnewline
91 & 386.38 & 386.379999997227 & -1.49999999999999 & 2.77276775528827e-09 & -0.930167955609328 \tabularnewline
92 & 384.15 & 384.149999997227 & -2.23000000000001 & 2.7727668123191e-09 & -0.771616599539579 \tabularnewline
93 & 383.07 & 383.069999997227 & -1.07999999999998 & 2.77276782108228e-09 & 1.21556039653495 \tabularnewline
94 & 382.98 & 382.979999997227 & -0.0899999999999736 & 2.77276691312493e-09 & 1.0464389500605 \tabularnewline
95 & 384.11 & 384.109999997227 & 1.13 & 2.7727665715835e-09 & 1.28955102936745 \tabularnewline
96 & 385.54 & 385.539999997227 & 1.43000000000001 & 2.77276738249471e-09 & 0.317102712139554 \tabularnewline
97 & 386.92 & 386.920000007772 & 1.38000001052878 & -7.7718020328195e-09 & -0.0528504407993283 \tabularnewline
98 & 387.41 & 387.410000014453 & 0.490000000540655 & -1.44528968785112e-08 & -0.940738053788597 \tabularnewline
99 & 388.77 & 388.769999997832 & 1.35999999351426 & 2.16834318784344e-09 & 0.919597859249906 \tabularnewline
100 & 389.46 & 389.459999998195 & 0.690000000000027 & 1.80533344947714e-09 & -0.708196052489264 \tabularnewline
101 & 390.18 & 390.179999998195 & 0.72000000000001 & 1.80533616629985e-09 & 0.031710271213937 \tabularnewline
102 & 389.43 & 389.429999998195 & -0.750000000000007 & 1.80533597561469e-09 & -1.55380328948378 \tabularnewline
103 & 387.74 & 387.739999998195 & -1.68999999999999 & 1.8053354845094e-09 & -0.993588498037225 \tabularnewline
104 & 385.91 & 385.909999998195 & -1.82999999999997 & 1.80533540120949e-09 & -0.147981265665094 \tabularnewline
105 & 384.77 & 384.769999998195 & -1.14000000000002 & 1.80533588033087e-09 & 0.729336237920901 \tabularnewline
106 & 384.38 & 384.379999998195 & -0.389999999999947 & 1.80533547746005e-09 & 0.792756780348933 \tabularnewline
107 & 385.99 & 385.989999998195 & 1.61000000000001 & 1.80533414736357e-09 & 2.11401808093025 \tabularnewline
108 & 387.26 & 387.259999998195 & 1.26999999999999 & 1.80533636403446e-09 & -0.359383073758173 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=158483&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]370.47[/C][C]370.47[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]371.44[/C][C]371.440000003767[/C][C]0.97000000327016[/C][C]-3.76684181902006e-09[/C][C]1.02529877083535[/C][/ROW]
[ROW][C]3[/C][C]372.39[/C][C]372.389999999734[/C][C]0.949999995765054[/C][C]2.6571102845477e-10[/C][C]-0.021140188714704[/C][/ROW]
[ROW][C]4[/C][C]373.32[/C][C]373.319999999745[/C][C]0.929999999999996[/C][C]2.54875055374607e-10[/C][C]-0.021140176399592[/C][/ROW]
[ROW][C]5[/C][C]373.77[/C][C]373.769999999745[/C][C]0.449999999999988[/C][C]2.54875076992641e-10[/C][C]-0.507364339423279[/C][/ROW]
[ROW][C]6[/C][C]373.13[/C][C]373.129999999745[/C][C]-0.639999999999976[/C][C]2.54875100255522e-10[/C][C]-1.15213985410697[/C][/ROW]
[ROW][C]7[/C][C]371.51[/C][C]371.509999999745[/C][C]-1.61999999999998[/C][C]2.54875087919145e-10[/C][C]-1.03586885965585[/C][/ROW]
[ROW][C]8[/C][C]369.59[/C][C]369.589999999745[/C][C]-1.91999999999998[/C][C]2.54875057254437e-10[/C][C]-0.317102712139545[/C][/ROW]
[ROW][C]9[/C][C]368.12[/C][C]368.119999999745[/C][C]-1.46999999999998[/C][C]2.54875029996918e-10[/C][C]0.475654068209316[/C][/ROW]
[ROW][C]10[/C][C]368.38[/C][C]368.379999999745[/C][C]0.259999999999988[/C][C]2.54874978654091e-10[/C][C]1.82862564000468[/C][/ROW]
[ROW][C]11[/C][C]369.64[/C][C]369.639999999745[/C][C]1.26[/C][C]2.548750279996e-10[/C][C]1.05700904046516[/C][/ROW]
[ROW][C]12[/C][C]371.11[/C][C]371.109999999745[/C][C]1.47000000000005[/C][C]2.54875056549501e-10[/C][C]0.221971898497731[/C][/ROW]
[ROW][C]13[/C][C]372.38[/C][C]372.37999999804[/C][C]1.26999999823134[/C][C]1.96042918149468e-09[/C][C]-0.211401809582899[/C][/ROW]
[ROW][C]14[/C][C]373.08[/C][C]373.080000000455[/C][C]0.699999998482436[/C][C]-4.54703978487863e-10[/C][C]-0.602495151017404[/C][/ROW]
[ROW][C]15[/C][C]373.87[/C][C]373.869999999826[/C][C]0.790000000420257[/C][C]1.73571655090225e-10[/C][C]0.0951308158424535[/C][/ROW]
[ROW][C]16[/C][C]374.93[/C][C]374.92999999968[/C][C]1.06000000000002[/C][C]3.19857153258718e-10[/C][C]0.285392441381319[/C][/ROW]
[ROW][C]17[/C][C]375.58[/C][C]375.57999999968[/C][C]0.649999999999999[/C][C]3.19857202839205e-10[/C][C]-0.433373706590736[/C][/ROW]
[ROW][C]18[/C][C]375.44[/C][C]375.43999999968[/C][C]-0.139999999999964[/C][C]3.19857230449191e-10[/C][C]-0.835037141967428[/C][/ROW]
[ROW][C]19[/C][C]373.91[/C][C]373.90999999968[/C][C]-1.52999999999995[/C][C]3.19857293305969e-10[/C][C]-1.46924256624654[/C][/ROW]
[ROW][C]20[/C][C]371.77[/C][C]371.76999999968[/C][C]-2.14000000000002[/C][C]3.19857159368162e-10[/C][C]-0.644775514683814[/C][/ROW]
[ROW][C]21[/C][C]370.72[/C][C]370.71999999968[/C][C]-1.04999999999993[/C][C]3.19857105910528e-10[/C][C]1.15213985410711[/C][/ROW]
[ROW][C]22[/C][C]370.5[/C][C]370.49999999968[/C][C]-0.220000000000002[/C][C]3.19857099801084e-10[/C][C]0.877317503585997[/C][/ROW]
[ROW][C]23[/C][C]372.19[/C][C]372.18999999968[/C][C]1.69000000000002[/C][C]3.19857000757599e-10[/C][C]2.01888726728846[/C][/ROW]
[ROW][C]24[/C][C]373.71[/C][C]373.70999999968[/C][C]1.52000000000001[/C][C]3.19857246427737e-10[/C][C]-0.179691536879091[/C][/ROW]
[ROW][C]25[/C][C]374.92[/C][C]374.92000000122[/C][C]1.21000000144232[/C][C]-1.22023035610615e-09[/C][C]-0.327672800431174[/C][/ROW]
[ROW][C]26[/C][C]375.63[/C][C]375.629999997997[/C][C]0.709999993327157[/C][C]2.00286262741718e-09[/C][C]-0.528504527246938[/C][/ROW]
[ROW][C]27[/C][C]376.51[/C][C]376.509999999864[/C][C]0.880000003847261[/C][C]1.36143689159847e-10[/C][C]0.17969154828659[/C][/ROW]
[ROW][C]28[/C][C]377.75[/C][C]377.749999999669[/C][C]1.23999999999999[/C][C]3.31190950509716e-10[/C][C]0.380523251700751[/C][/ROW]
[ROW][C]29[/C][C]378.54[/C][C]378.539999999669[/C][C]0.789999999999985[/C][C]3.31191142134774e-10[/C][C]-0.475654068209327[/C][/ROW]
[ROW][C]30[/C][C]378.21[/C][C]378.209999999669[/C][C]-0.330000000000041[/C][C]3.31191117696997e-10[/C][C]-1.18385012532099[/C][/ROW]
[ROW][C]31[/C][C]376.65[/C][C]376.649999999669[/C][C]-1.56000000000002[/C][C]3.31191116522104e-10[/C][C]-1.30012111977211[/C][/ROW]
[ROW][C]32[/C][C]374.28[/C][C]374.279999999669[/C][C]-2.37000000000005[/C][C]3.31191208986188e-10[/C][C]-0.856177322776795[/C][/ROW]
[ROW][C]33[/C][C]373.12[/C][C]373.119999999669[/C][C]-1.15999999999998[/C][C]3.31190698495156e-10[/C][C]1.27898093896291[/C][/ROW]
[ROW][C]34[/C][C]373.1[/C][C]373.099999999669[/C][C]-0.0200000000000103[/C][C]3.31191117931976e-10[/C][C]1.20499030613023[/C][/ROW]
[ROW][C]35[/C][C]374.67[/C][C]374.669999999669[/C][C]1.57[/C][C]3.31190668417893e-10[/C][C]1.6806443743396[/C][/ROW]
[ROW][C]36[/C][C]375.97[/C][C]375.969999999669[/C][C]1.3[/C][C]3.31191206048958e-10[/C][C]-0.285392440925593[/C][/ROW]
[ROW][C]37[/C][C]377.03[/C][C]377.030000004434[/C][C]1.06000000468902[/C][C]-4.43365335246438e-09[/C][C]-0.2536821642997[/C][/ROW]
[ROW][C]38[/C][C]377.87[/C][C]377.8699999968[/C][C]0.839999990848079[/C][C]3.20041161521311e-09[/C][C]-0.232542002844414[/C][/ROW]
[ROW][C]39[/C][C]378.88[/C][C]378.879999999855[/C][C]1.01000000503635[/C][C]1.44547918121599e-10[/C][C]0.179691552163881[/C][/ROW]
[ROW][C]40[/C][C]380.42[/C][C]380.419999999568[/C][C]1.54000000000001[/C][C]4.31700751447527e-10[/C][C]0.560214787889571[/C][/ROW]
[ROW][C]41[/C][C]380.62[/C][C]380.619999999568[/C][C]0.199999999999998[/C][C]4.31701200139188e-10[/C][C]-1.41639211422331[/C][/ROW]
[ROW][C]42[/C][C]379.66[/C][C]379.659999999568[/C][C]-0.959999999999946[/C][C]4.31701042703516e-10[/C][C]-1.22613048693951[/C][/ROW]
[ROW][C]43[/C][C]377.48[/C][C]377.479999999568[/C][C]-2.18000000000001[/C][C]4.31700862827389e-10[/C][C]-1.28955102936754[/C][/ROW]
[ROW][C]44[/C][C]376.07[/C][C]376.069999999568[/C][C]-1.41[/C][C]4.31701031307054e-10[/C][C]0.813896961158171[/C][/ROW]
[ROW][C]45[/C][C]374.1[/C][C]374.099999999568[/C][C]-1.96999999999992[/C][C]4.31700720547841e-10[/C][C]-0.591925062660399[/C][/ROW]
[ROW][C]46[/C][C]374.47[/C][C]374.469999999568[/C][C]0.370000000000024[/C][C]4.31700890789845e-10[/C][C]2.47340115468839[/C][/ROW]
[ROW][C]47[/C][C]376.15[/C][C]376.149999999568[/C][C]1.68[/C][C]4.31700374306855e-10[/C][C]1.38468184300931[/C][/ROW]
[ROW][C]48[/C][C]377.51[/C][C]377.509999999568[/C][C]1.36000000000003[/C][C]4.31701187215371e-10[/C][C]-0.338242892948814[/C][/ROW]
[ROW][C]49[/C][C]378.43[/C][C]378.430000005001[/C][C]0.920000005293931[/C][C]-5.00103070288597e-09[/C][C]-0.465083971373693[/C][/ROW]
[ROW][C]50[/C][C]379.7[/C][C]379.700000000029[/C][C]1.26999999744319[/C][C]-2.94746505219079e-11[/C][C]0.369953154770093[/C][/ROW]
[ROW][C]51[/C][C]380.91[/C][C]380.909999999692[/C][C]1.20999999896385[/C][C]3.07653037125589e-10[/C][C]-0.0634205409220901[/C][/ROW]
[ROW][C]52[/C][C]382.2[/C][C]382.199999999649[/C][C]1.28999999999996[/C][C]3.50996052729931e-10[/C][C]0.0845607245990327[/C][/ROW]
[ROW][C]53[/C][C]382.45[/C][C]382.449999999649[/C][C]0.250000000000009[/C][C]3.50996928377734e-10[/C][C]-1.0992894020837[/C][/ROW]
[ROW][C]54[/C][C]382.14[/C][C]382.139999999649[/C][C]-0.309999999999982[/C][C]3.50996138849599e-10[/C][C]-0.591925062660473[/C][/ROW]
[ROW][C]55[/C][C]380.6[/C][C]380.599999999649[/C][C]-1.53999999999993[/C][C]3.50997092040334e-10[/C][C]-1.30012111977208[/C][/ROW]
[ROW][C]56[/C][C]378.6[/C][C]378.599999999649[/C][C]-2.00000000000001[/C][C]3.50996071645717e-10[/C][C]-0.486224158614054[/C][/ROW]
[ROW][C]57[/C][C]376.72[/C][C]376.719999999649[/C][C]-1.88[/C][C]3.50996604577206e-10[/C][C]0.126841084855835[/C][/ROW]
[ROW][C]58[/C][C]376.98[/C][C]376.979999999649[/C][C]0.260000000000001[/C][C]3.50996344573373e-10[/C][C]2.26199934659541[/C][/ROW]
[ROW][C]59[/C][C]378.29[/C][C]378.289999999649[/C][C]1.31000000000003[/C][C]3.50995802947673e-10[/C][C]1.10985949248843[/C][/ROW]
[ROW][C]60[/C][C]380.07[/C][C]380.069999999649[/C][C]1.78000000000001[/C][C]3.50996486500457e-10[/C][C]0.496794249018601[/C][/ROW]
[ROW][C]61[/C][C]381.36[/C][C]381.360000000715[/C][C]1.29000000091128[/C][C]-7.14911702935408e-10[/C][C]-0.51793442793451[/C][/ROW]
[ROW][C]62[/C][C]382.19[/C][C]382.189999998486[/C][C]0.829999994597388[/C][C]1.51395898260898e-09[/C][C]-0.486224163849449[/C][/ROW]
[ROW][C]63[/C][C]382.65[/C][C]382.649999999478[/C][C]0.459999996681774[/C][C]5.21635392844539e-10[/C][C]-0.391093343394996[/C][/ROW]
[ROW][C]64[/C][C]384.65[/C][C]384.649999998644[/C][C]1.99999999999999[/C][C]1.35600277595427e-09[/C][C]1.62779393095659[/C][/ROW]
[ROW][C]65[/C][C]384.94[/C][C]384.939999998644[/C][C]0.290000000000006[/C][C]1.35600507451507e-09[/C][C]-1.80748545919539[/C][/ROW]
[ROW][C]66[/C][C]384.01[/C][C]384.009999998644[/C][C]-0.930000000000025[/C][C]1.35600353470023e-09[/C][C]-1.28955102936751[/C][/ROW]
[ROW][C]67[/C][C]382.15[/C][C]382.149999998644[/C][C]-1.86000000000004[/C][C]1.35600469443717e-09[/C][C]-0.9830184076326[/C][/ROW]
[ROW][C]68[/C][C]380.33[/C][C]380.329999998644[/C][C]-1.82000000000002[/C][C]1.35600308671351e-09[/C][C]0.042280361618624[/C][/ROW]
[ROW][C]69[/C][C]378.81[/C][C]378.809999998644[/C][C]-1.52000000000001[/C][C]1.35600454875043e-09[/C][C]0.317102712139551[/C][/ROW]
[ROW][C]70[/C][C]379.06[/C][C]379.059999998644[/C][C]0.250000000000022[/C][C]1.35600358827536e-09[/C][C]1.87090600162335[/C][/ROW]
[ROW][C]71[/C][C]380.17[/C][C]380.169999998644[/C][C]1.11000000000003[/C][C]1.35600342978228e-09[/C][C]0.909027774800038[/C][/ROW]
[ROW][C]72[/C][C]381.85[/C][C]381.849999998644[/C][C]1.68000000000002[/C][C]1.35600379082691e-09[/C][C]0.602495153065123[/C][/ROW]
[ROW][C]73[/C][C]382.88[/C][C]382.879999999756[/C][C]1.03000000090703[/C][C]2.43826437035581e-10[/C][C]-0.687055874109707[/C][/ROW]
[ROW][C]74[/C][C]383.77[/C][C]383.770000010912[/C][C]0.890000010189677[/C][C]-1.091179419665e-08[/C][C]-0.14798125541552[/C][/ROW]
[ROW][C]75[/C][C]384.42[/C][C]384.419999998652[/C][C]0.649999984944532[/C][C]1.34771471943915e-09[/C][C]-0.253682196802105[/C][/ROW]
[ROW][C]76[/C][C]386.36[/C][C]386.359999997953[/C][C]1.93999999999998[/C][C]2.04663055871983e-09[/C][C]1.3635416824134[/C][/ROW]
[ROW][C]77[/C][C]386.53[/C][C]386.529999997953[/C][C]0.169999999999951[/C][C]2.04663418361745e-09[/C][C]-1.87090600162334[/C][/ROW]
[ROW][C]78[/C][C]386.01[/C][C]386.009999997953[/C][C]-0.519999999999975[/C][C]2.04663190432491e-09[/C][C]-0.729336237920873[/C][/ROW]
[ROW][C]79[/C][C]384.45[/C][C]384.449999997953[/C][C]-1.55999999999998[/C][C]2.04663370860818e-09[/C][C]-1.09928940208376[/C][/ROW]
[ROW][C]80[/C][C]381.96[/C][C]381.959999997953[/C][C]-2.48999999999997[/C][C]2.04663166723149e-09[/C][C]-0.983018407632578[/C][/ROW]
[ROW][C]81[/C][C]380.81[/C][C]380.809999997953[/C][C]-1.14999999999998[/C][C]2.04663324945997e-09[/C][C]1.41639211422329[/C][/ROW]
[ROW][C]82[/C][C]381.09[/C][C]381.089999997953[/C][C]0.279999999999982[/C][C]2.04663205694352e-09[/C][C]1.51152292786512[/C][/ROW]
[ROW][C]83[/C][C]382.37[/C][C]382.369999997953[/C][C]1.28000000000005[/C][C]2.04663230461098e-09[/C][C]1.05700904046522[/C][/ROW]
[ROW][C]84[/C][C]383.84[/C][C]383.839999997953[/C][C]1.47000000000001[/C][C]2.04663222988775e-09[/C][C]0.200831717688332[/C][/ROW]
[ROW][C]85[/C][C]385.42[/C][C]385.419999999682[/C][C]1.58000000176378[/C][C]3.17600007230327e-10[/C][C]0.116270996106675[/C][/ROW]
[ROW][C]86[/C][C]385.72[/C][C]385.720000013444[/C][C]0.300000004929971[/C][C]-1.34436042298988e-08[/C][C]-1.35297156444629[/C][/ROW]
[ROW][C]87[/C][C]385.96[/C][C]385.959999997758[/C][C]0.239999983615546[/C][C]2.24180791236288e-09[/C][C]-0.0634205650589787[/C][/ROW]
[ROW][C]88[/C][C]387.18[/C][C]387.179999997227[/C][C]1.22000000000004[/C][C]2.77276413297543e-09[/C][C]1.03586888024078[/C][/ROW]
[ROW][C]89[/C][C]388.5[/C][C]388.499999997227[/C][C]1.32000000000001[/C][C]2.77276884359172e-09[/C][C]0.105700904046475[/C][/ROW]
[ROW][C]90[/C][C]387.88[/C][C]387.879999997227[/C][C]-0.619999999999994[/C][C]2.77276722635141e-09[/C][C]-2.05059753850239[/C][/ROW]
[ROW][C]91[/C][C]386.38[/C][C]386.379999997227[/C][C]-1.49999999999999[/C][C]2.77276775528827e-09[/C][C]-0.930167955609328[/C][/ROW]
[ROW][C]92[/C][C]384.15[/C][C]384.149999997227[/C][C]-2.23000000000001[/C][C]2.7727668123191e-09[/C][C]-0.771616599539579[/C][/ROW]
[ROW][C]93[/C][C]383.07[/C][C]383.069999997227[/C][C]-1.07999999999998[/C][C]2.77276782108228e-09[/C][C]1.21556039653495[/C][/ROW]
[ROW][C]94[/C][C]382.98[/C][C]382.979999997227[/C][C]-0.0899999999999736[/C][C]2.77276691312493e-09[/C][C]1.0464389500605[/C][/ROW]
[ROW][C]95[/C][C]384.11[/C][C]384.109999997227[/C][C]1.13[/C][C]2.7727665715835e-09[/C][C]1.28955102936745[/C][/ROW]
[ROW][C]96[/C][C]385.54[/C][C]385.539999997227[/C][C]1.43000000000001[/C][C]2.77276738249471e-09[/C][C]0.317102712139554[/C][/ROW]
[ROW][C]97[/C][C]386.92[/C][C]386.920000007772[/C][C]1.38000001052878[/C][C]-7.7718020328195e-09[/C][C]-0.0528504407993283[/C][/ROW]
[ROW][C]98[/C][C]387.41[/C][C]387.410000014453[/C][C]0.490000000540655[/C][C]-1.44528968785112e-08[/C][C]-0.940738053788597[/C][/ROW]
[ROW][C]99[/C][C]388.77[/C][C]388.769999997832[/C][C]1.35999999351426[/C][C]2.16834318784344e-09[/C][C]0.919597859249906[/C][/ROW]
[ROW][C]100[/C][C]389.46[/C][C]389.459999998195[/C][C]0.690000000000027[/C][C]1.80533344947714e-09[/C][C]-0.708196052489264[/C][/ROW]
[ROW][C]101[/C][C]390.18[/C][C]390.179999998195[/C][C]0.72000000000001[/C][C]1.80533616629985e-09[/C][C]0.031710271213937[/C][/ROW]
[ROW][C]102[/C][C]389.43[/C][C]389.429999998195[/C][C]-0.750000000000007[/C][C]1.80533597561469e-09[/C][C]-1.55380328948378[/C][/ROW]
[ROW][C]103[/C][C]387.74[/C][C]387.739999998195[/C][C]-1.68999999999999[/C][C]1.8053354845094e-09[/C][C]-0.993588498037225[/C][/ROW]
[ROW][C]104[/C][C]385.91[/C][C]385.909999998195[/C][C]-1.82999999999997[/C][C]1.80533540120949e-09[/C][C]-0.147981265665094[/C][/ROW]
[ROW][C]105[/C][C]384.77[/C][C]384.769999998195[/C][C]-1.14000000000002[/C][C]1.80533588033087e-09[/C][C]0.729336237920901[/C][/ROW]
[ROW][C]106[/C][C]384.38[/C][C]384.379999998195[/C][C]-0.389999999999947[/C][C]1.80533547746005e-09[/C][C]0.792756780348933[/C][/ROW]
[ROW][C]107[/C][C]385.99[/C][C]385.989999998195[/C][C]1.61000000000001[/C][C]1.80533414736357e-09[/C][C]2.11401808093025[/C][/ROW]
[ROW][C]108[/C][C]387.26[/C][C]387.259999998195[/C][C]1.26999999999999[/C][C]1.80533636403446e-09[/C][C]-0.359383073758173[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=158483&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=158483&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
1370.47370.47000
2371.44371.4400000037670.97000000327016-3.76684181902006e-091.02529877083535
3372.39372.3899999997340.9499999957650542.6571102845477e-10-0.021140188714704
4373.32373.3199999997450.9299999999999962.54875055374607e-10-0.021140176399592
5373.77373.7699999997450.4499999999999882.54875076992641e-10-0.507364339423279
6373.13373.129999999745-0.6399999999999762.54875100255522e-10-1.15213985410697
7371.51371.509999999745-1.619999999999982.54875087919145e-10-1.03586885965585
8369.59369.589999999745-1.919999999999982.54875057254437e-10-0.317102712139545
9368.12368.119999999745-1.469999999999982.54875029996918e-100.475654068209316
10368.38368.3799999997450.2599999999999882.54874978654091e-101.82862564000468
11369.64369.6399999997451.262.548750279996e-101.05700904046516
12371.11371.1099999997451.470000000000052.54875056549501e-100.221971898497731
13372.38372.379999998041.269999998231341.96042918149468e-09-0.211401809582899
14373.08373.0800000004550.699999998482436-4.54703978487863e-10-0.602495151017404
15373.87373.8699999998260.7900000004202571.73571655090225e-100.0951308158424535
16374.93374.929999999681.060000000000023.19857153258718e-100.285392441381319
17375.58375.579999999680.6499999999999993.19857202839205e-10-0.433373706590736
18375.44375.43999999968-0.1399999999999643.19857230449191e-10-0.835037141967428
19373.91373.90999999968-1.529999999999953.19857293305969e-10-1.46924256624654
20371.77371.76999999968-2.140000000000023.19857159368162e-10-0.644775514683814
21370.72370.71999999968-1.049999999999933.19857105910528e-101.15213985410711
22370.5370.49999999968-0.2200000000000023.19857099801084e-100.877317503585997
23372.19372.189999999681.690000000000023.19857000757599e-102.01888726728846
24373.71373.709999999681.520000000000013.19857246427737e-10-0.179691536879091
25374.92374.920000001221.21000000144232-1.22023035610615e-09-0.327672800431174
26375.63375.6299999979970.7099999933271572.00286262741718e-09-0.528504527246938
27376.51376.5099999998640.8800000038472611.36143689159847e-100.17969154828659
28377.75377.7499999996691.239999999999993.31190950509716e-100.380523251700751
29378.54378.5399999996690.7899999999999853.31191142134774e-10-0.475654068209327
30378.21378.209999999669-0.3300000000000413.31191117696997e-10-1.18385012532099
31376.65376.649999999669-1.560000000000023.31191116522104e-10-1.30012111977211
32374.28374.279999999669-2.370000000000053.31191208986188e-10-0.856177322776795
33373.12373.119999999669-1.159999999999983.31190698495156e-101.27898093896291
34373.1373.099999999669-0.02000000000001033.31191117931976e-101.20499030613023
35374.67374.6699999996691.573.31190668417893e-101.6806443743396
36375.97375.9699999996691.33.31191206048958e-10-0.285392440925593
37377.03377.0300000044341.06000000468902-4.43365335246438e-09-0.2536821642997
38377.87377.86999999680.8399999908480793.20041161521311e-09-0.232542002844414
39378.88378.8799999998551.010000005036351.44547918121599e-100.179691552163881
40380.42380.4199999995681.540000000000014.31700751447527e-100.560214787889571
41380.62380.6199999995680.1999999999999984.31701200139188e-10-1.41639211422331
42379.66379.659999999568-0.9599999999999464.31701042703516e-10-1.22613048693951
43377.48377.479999999568-2.180000000000014.31700862827389e-10-1.28955102936754
44376.07376.069999999568-1.414.31701031307054e-100.813896961158171
45374.1374.099999999568-1.969999999999924.31700720547841e-10-0.591925062660399
46374.47374.4699999995680.3700000000000244.31700890789845e-102.47340115468839
47376.15376.1499999995681.684.31700374306855e-101.38468184300931
48377.51377.5099999995681.360000000000034.31701187215371e-10-0.338242892948814
49378.43378.4300000050010.920000005293931-5.00103070288597e-09-0.465083971373693
50379.7379.7000000000291.26999999744319-2.94746505219079e-110.369953154770093
51380.91380.9099999996921.209999998963853.07653037125589e-10-0.0634205409220901
52382.2382.1999999996491.289999999999963.50996052729931e-100.0845607245990327
53382.45382.4499999996490.2500000000000093.50996928377734e-10-1.0992894020837
54382.14382.139999999649-0.3099999999999823.50996138849599e-10-0.591925062660473
55380.6380.599999999649-1.539999999999933.50997092040334e-10-1.30012111977208
56378.6378.599999999649-2.000000000000013.50996071645717e-10-0.486224158614054
57376.72376.719999999649-1.883.50996604577206e-100.126841084855835
58376.98376.9799999996490.2600000000000013.50996344573373e-102.26199934659541
59378.29378.2899999996491.310000000000033.50995802947673e-101.10985949248843
60380.07380.0699999996491.780000000000013.50996486500457e-100.496794249018601
61381.36381.3600000007151.29000000091128-7.14911702935408e-10-0.51793442793451
62382.19382.1899999984860.8299999945973881.51395898260898e-09-0.486224163849449
63382.65382.6499999994780.4599999966817745.21635392844539e-10-0.391093343394996
64384.65384.6499999986441.999999999999991.35600277595427e-091.62779393095659
65384.94384.9399999986440.2900000000000061.35600507451507e-09-1.80748545919539
66384.01384.009999998644-0.9300000000000251.35600353470023e-09-1.28955102936751
67382.15382.149999998644-1.860000000000041.35600469443717e-09-0.9830184076326
68380.33380.329999998644-1.820000000000021.35600308671351e-090.042280361618624
69378.81378.809999998644-1.520000000000011.35600454875043e-090.317102712139551
70379.06379.0599999986440.2500000000000221.35600358827536e-091.87090600162335
71380.17380.1699999986441.110000000000031.35600342978228e-090.909027774800038
72381.85381.8499999986441.680000000000021.35600379082691e-090.602495153065123
73382.88382.8799999997561.030000000907032.43826437035581e-10-0.687055874109707
74383.77383.7700000109120.890000010189677-1.091179419665e-08-0.14798125541552
75384.42384.4199999986520.6499999849445321.34771471943915e-09-0.253682196802105
76386.36386.3599999979531.939999999999982.04663055871983e-091.3635416824134
77386.53386.5299999979530.1699999999999512.04663418361745e-09-1.87090600162334
78386.01386.009999997953-0.5199999999999752.04663190432491e-09-0.729336237920873
79384.45384.449999997953-1.559999999999982.04663370860818e-09-1.09928940208376
80381.96381.959999997953-2.489999999999972.04663166723149e-09-0.983018407632578
81380.81380.809999997953-1.149999999999982.04663324945997e-091.41639211422329
82381.09381.0899999979530.2799999999999822.04663205694352e-091.51152292786512
83382.37382.3699999979531.280000000000052.04663230461098e-091.05700904046522
84383.84383.8399999979531.470000000000012.04663222988775e-090.200831717688332
85385.42385.4199999996821.580000001763783.17600007230327e-100.116270996106675
86385.72385.7200000134440.300000004929971-1.34436042298988e-08-1.35297156444629
87385.96385.9599999977580.2399999836155462.24180791236288e-09-0.0634205650589787
88387.18387.1799999972271.220000000000042.77276413297543e-091.03586888024078
89388.5388.4999999972271.320000000000012.77276884359172e-090.105700904046475
90387.88387.879999997227-0.6199999999999942.77276722635141e-09-2.05059753850239
91386.38386.379999997227-1.499999999999992.77276775528827e-09-0.930167955609328
92384.15384.149999997227-2.230000000000012.7727668123191e-09-0.771616599539579
93383.07383.069999997227-1.079999999999982.77276782108228e-091.21556039653495
94382.98382.979999997227-0.08999999999997362.77276691312493e-091.0464389500605
95384.11384.1099999972271.132.7727665715835e-091.28955102936745
96385.54385.5399999972271.430000000000012.77276738249471e-090.317102712139554
97386.92386.9200000077721.38000001052878-7.7718020328195e-09-0.0528504407993283
98387.41387.4100000144530.490000000540655-1.44528968785112e-08-0.940738053788597
99388.77388.7699999978321.359999993514262.16834318784344e-090.919597859249906
100389.46389.4599999981950.6900000000000271.80533344947714e-09-0.708196052489264
101390.18390.1799999981950.720000000000011.80533616629985e-090.031710271213937
102389.43389.429999998195-0.7500000000000071.80533597561469e-09-1.55380328948378
103387.74387.739999998195-1.689999999999991.8053354845094e-09-0.993588498037225
104385.91385.909999998195-1.829999999999971.80533540120949e-09-0.147981265665094
105384.77384.769999998195-1.140000000000021.80533588033087e-090.729336237920901
106384.38384.379999998195-0.3899999999999471.80533547746005e-090.792756780348933
107385.99385.9899999981951.610000000000011.80533414736357e-092.11401808093025
108387.26387.2599999981951.269999999999991.80533636403446e-09-0.359383073758173



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')