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Author*The author of this computation has been verified*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationThu, 15 Dec 2016 12:33:30 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2016/Dec/15/t1481801632lk10muo2e5a1umd.htm/, Retrieved Fri, 03 May 2024 12:12:03 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=299884, Retrieved Fri, 03 May 2024 12:12:03 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact69
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [Classical Decompo...] [2016-12-15 11:33:30] [e3cd721010e920ddac8a34a44b82c047] [Current]
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Dataseries X:
2473
2314
2789
2722
2732
2917
3100
3156
2589
2734
2551
2773
2624
2500
3160
2831
2913
3238
3340
3401
2898
3055
2807
2990
2764
2666
3246
3137
3248
3494
3582
3798
3189
3288
3075
3209
3013
2805
3525
3391
3544
3713
3919
4041
3238
3429
3166
3546
3346
3159
3901
3651
3776
3995
4325
4613
3656
3804
3579
3877
3545
3500
4341
4228
4305
4445
4844
4999
4020
4214
3910
4119
3861
3803
4591
4317
4449
4780
5058
5261
4364
4605
4295
4413
4104
3834
4674
4373
4537
5030
5200
5441
4501
4718
4473
4573
4323
4101
4958
4673
4771
5220
5488
5784
4758
4948
4608
4710
4242
3710
4414
4467
4737
5117
5446
5735
4738
4993
4517
4809
4352
4229
4929
4671
4935
5557




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time1 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=299884&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]1 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=299884&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=299884&T=0

As an alternative you can also use a QR Code:  

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

Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R ServerBig Analytics Cloud Computing Center







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
12473NANA0.900704NA
22314NANA0.84747NA
32789NANA1.03347NA
42722NANA0.977135NA
52732NANA1.00559NA
62917NANA1.07622NA
731003099.582743.791.129671.00013
831563232.342757.831.172060.976383
925892665.12781.040.9583110.971445
1027342801.452801.041.000150.975923
1125512603.012813.130.9253090.98002
1227732760.142834.040.9739231.00466
1326242573.692857.420.9007041.01955
1425002438.72877.630.847471.02514
1531602997.82900.711.033471.05411
1628312860.032926.960.9771350.989849
1729132967.4929511.005590.981639
1832383197.122970.711.076221.01279
1933403372.732985.581.129670.990296
2034013514.222998.331.172060.967783
2128982883.43008.830.9583111.00506
2230553025.613025.171.000151.00971
2328072823.933051.880.9253090.994006
2429902996.273076.50.9739230.997906
2527642789.713097.250.9007040.990785
2626662647.393123.880.847471.00703
2732463258.063152.541.033470.996299
2831373101.793174.370.9771351.01135
2932483213.13195.251.005591.01086
3034943460.623215.541.076221.00965
3135823654.533235.041.129670.980152
3237983810.63251.211.172060.996693
3331893132.363268.620.9583111.01808
3432883291.313290.831.000150.998993
3530753066.243313.750.9253091.00286
3632093248.233335.210.9739230.987921
3730133024.93358.370.9007040.996065
3828052866.63382.540.847470.97851
3935253508.333394.711.033471.00475
4033913324.823402.620.9771351.0199
4135443431.363412.291.005591.03283
4237133691.563430.131.076221.00581
4339193906.453458.041.129671.00321
4440414086.573486.671.172060.988848
4532383370.463517.080.9583110.9607
4634293544.13543.581.000150.967523
4731663297.883564.080.9253090.960012
48354634923585.50.9739231.01546
4933463255.293614.170.9007041.02786
5031593097.433654.920.847471.01988
5139013819.883696.171.033471.02124
5236513643.943729.210.9771351.00194
5337763783.063762.041.005590.998134
5439954082.133793.041.076220.978655
5543254309.843815.121.129671.00352
5646134497.923837.621.172061.02559
5736563708.823870.170.9583110.985757
5838043913.113912.541.000150.972116
5935793662.953958.620.9253090.977081
6038773895.123999.420.9739230.995347
6135453638.664039.790.9007040.974261
6235003455.564077.50.847471.01286
6343414246.274108.751.033471.02231
6442284046.3241410.9771351.0449
6543054195.184171.881.005591.02618
6644454515.534195.751.076220.98438
6748444766.0842191.129671.01635
6849994975.144244.791.172061.0048
6940204089.914267.830.9583110.982906
7042144282.594281.961.000150.983985
7139103971.124291.670.9253090.98461
7241194199.194311.620.9739230.980904
7338613904.14334.50.9007040.98896
7438033690.174354.330.847471.03058
7545914526.174379.581.033471.01432
7643174309.374410.210.9771351.00177
7744494467.364442.541.005590.99589
7847804811.584470.831.076220.993436
7950585075.854493.211.129670.996483
8052615279.684504.621.172060.996462
8143644321.384509.380.9583111.00986
8246054515.834515.171.000151.01975
8342954183.474521.170.9253091.02666
8444134416.984535.250.9739230.999098
8541044099.634551.580.9007041.00107
8638343868.745650.847470.99103
8746744731.444578.211.033470.98786
8843734483.74588.620.9771350.975309
8945374626.454600.751.005590.980665
9050304966.564614.831.076221.01277
9152005231.094630.621.129670.994058
9254415451.094650.881.172060.998148
9345014478.994673.830.9583111.00491
9447184698.854698.171.000151.00407
9544734367.844720.420.9253091.02408
9645734614.534738.080.9739230.991001
9743234285.5547580.9007041.00874
9841014054.554784.290.847471.01146
9949584970.264809.291.033470.997534
10046734719.154829.580.9771350.99022
10147714871.864844.791.005590.979298
10252205226.244856.121.076220.998806
10354885488.464858.461.129670.999916
10457845671.344838.791.172061.01986
10547584599.734799.830.9583111.03441
10649484769.284768.581.000151.03747
10746084403.164758.580.9253091.04652
10847104628.934752.880.9739231.01751
10942424275.494746.830.9007040.992166
11037104019.594743.040.847470.92298
11144144898.824740.171.033470.901033
11244674632.84741.210.9771350.964212
11347374765.774739.291.005590.993963
11451175100.864739.621.076221.00316
11554465364.064748.331.129671.01528
11657355596.044774.541.172061.02483
11747384616.784817.630.9583111.02626
11849934848.294847.581.000151.02985
11945174501.014864.330.9253091.00355
12048094763.374890.920.9739231.00958
1214352NANA0.900704NA
1224229NANA0.84747NA
1234929NANA1.03347NA
1244671NANA0.977135NA
1254935NANA1.00559NA
1265557NANA1.07622NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 2473 & NA & NA & 0.900704 & NA \tabularnewline
2 & 2314 & NA & NA & 0.84747 & NA \tabularnewline
3 & 2789 & NA & NA & 1.03347 & NA \tabularnewline
4 & 2722 & NA & NA & 0.977135 & NA \tabularnewline
5 & 2732 & NA & NA & 1.00559 & NA \tabularnewline
6 & 2917 & NA & NA & 1.07622 & NA \tabularnewline
7 & 3100 & 3099.58 & 2743.79 & 1.12967 & 1.00013 \tabularnewline
8 & 3156 & 3232.34 & 2757.83 & 1.17206 & 0.976383 \tabularnewline
9 & 2589 & 2665.1 & 2781.04 & 0.958311 & 0.971445 \tabularnewline
10 & 2734 & 2801.45 & 2801.04 & 1.00015 & 0.975923 \tabularnewline
11 & 2551 & 2603.01 & 2813.13 & 0.925309 & 0.98002 \tabularnewline
12 & 2773 & 2760.14 & 2834.04 & 0.973923 & 1.00466 \tabularnewline
13 & 2624 & 2573.69 & 2857.42 & 0.900704 & 1.01955 \tabularnewline
14 & 2500 & 2438.7 & 2877.63 & 0.84747 & 1.02514 \tabularnewline
15 & 3160 & 2997.8 & 2900.71 & 1.03347 & 1.05411 \tabularnewline
16 & 2831 & 2860.03 & 2926.96 & 0.977135 & 0.989849 \tabularnewline
17 & 2913 & 2967.49 & 2951 & 1.00559 & 0.981639 \tabularnewline
18 & 3238 & 3197.12 & 2970.71 & 1.07622 & 1.01279 \tabularnewline
19 & 3340 & 3372.73 & 2985.58 & 1.12967 & 0.990296 \tabularnewline
20 & 3401 & 3514.22 & 2998.33 & 1.17206 & 0.967783 \tabularnewline
21 & 2898 & 2883.4 & 3008.83 & 0.958311 & 1.00506 \tabularnewline
22 & 3055 & 3025.61 & 3025.17 & 1.00015 & 1.00971 \tabularnewline
23 & 2807 & 2823.93 & 3051.88 & 0.925309 & 0.994006 \tabularnewline
24 & 2990 & 2996.27 & 3076.5 & 0.973923 & 0.997906 \tabularnewline
25 & 2764 & 2789.71 & 3097.25 & 0.900704 & 0.990785 \tabularnewline
26 & 2666 & 2647.39 & 3123.88 & 0.84747 & 1.00703 \tabularnewline
27 & 3246 & 3258.06 & 3152.54 & 1.03347 & 0.996299 \tabularnewline
28 & 3137 & 3101.79 & 3174.37 & 0.977135 & 1.01135 \tabularnewline
29 & 3248 & 3213.1 & 3195.25 & 1.00559 & 1.01086 \tabularnewline
30 & 3494 & 3460.62 & 3215.54 & 1.07622 & 1.00965 \tabularnewline
31 & 3582 & 3654.53 & 3235.04 & 1.12967 & 0.980152 \tabularnewline
32 & 3798 & 3810.6 & 3251.21 & 1.17206 & 0.996693 \tabularnewline
33 & 3189 & 3132.36 & 3268.62 & 0.958311 & 1.01808 \tabularnewline
34 & 3288 & 3291.31 & 3290.83 & 1.00015 & 0.998993 \tabularnewline
35 & 3075 & 3066.24 & 3313.75 & 0.925309 & 1.00286 \tabularnewline
36 & 3209 & 3248.23 & 3335.21 & 0.973923 & 0.987921 \tabularnewline
37 & 3013 & 3024.9 & 3358.37 & 0.900704 & 0.996065 \tabularnewline
38 & 2805 & 2866.6 & 3382.54 & 0.84747 & 0.97851 \tabularnewline
39 & 3525 & 3508.33 & 3394.71 & 1.03347 & 1.00475 \tabularnewline
40 & 3391 & 3324.82 & 3402.62 & 0.977135 & 1.0199 \tabularnewline
41 & 3544 & 3431.36 & 3412.29 & 1.00559 & 1.03283 \tabularnewline
42 & 3713 & 3691.56 & 3430.13 & 1.07622 & 1.00581 \tabularnewline
43 & 3919 & 3906.45 & 3458.04 & 1.12967 & 1.00321 \tabularnewline
44 & 4041 & 4086.57 & 3486.67 & 1.17206 & 0.988848 \tabularnewline
45 & 3238 & 3370.46 & 3517.08 & 0.958311 & 0.9607 \tabularnewline
46 & 3429 & 3544.1 & 3543.58 & 1.00015 & 0.967523 \tabularnewline
47 & 3166 & 3297.88 & 3564.08 & 0.925309 & 0.960012 \tabularnewline
48 & 3546 & 3492 & 3585.5 & 0.973923 & 1.01546 \tabularnewline
49 & 3346 & 3255.29 & 3614.17 & 0.900704 & 1.02786 \tabularnewline
50 & 3159 & 3097.43 & 3654.92 & 0.84747 & 1.01988 \tabularnewline
51 & 3901 & 3819.88 & 3696.17 & 1.03347 & 1.02124 \tabularnewline
52 & 3651 & 3643.94 & 3729.21 & 0.977135 & 1.00194 \tabularnewline
53 & 3776 & 3783.06 & 3762.04 & 1.00559 & 0.998134 \tabularnewline
54 & 3995 & 4082.13 & 3793.04 & 1.07622 & 0.978655 \tabularnewline
55 & 4325 & 4309.84 & 3815.12 & 1.12967 & 1.00352 \tabularnewline
56 & 4613 & 4497.92 & 3837.62 & 1.17206 & 1.02559 \tabularnewline
57 & 3656 & 3708.82 & 3870.17 & 0.958311 & 0.985757 \tabularnewline
58 & 3804 & 3913.11 & 3912.54 & 1.00015 & 0.972116 \tabularnewline
59 & 3579 & 3662.95 & 3958.62 & 0.925309 & 0.977081 \tabularnewline
60 & 3877 & 3895.12 & 3999.42 & 0.973923 & 0.995347 \tabularnewline
61 & 3545 & 3638.66 & 4039.79 & 0.900704 & 0.974261 \tabularnewline
62 & 3500 & 3455.56 & 4077.5 & 0.84747 & 1.01286 \tabularnewline
63 & 4341 & 4246.27 & 4108.75 & 1.03347 & 1.02231 \tabularnewline
64 & 4228 & 4046.32 & 4141 & 0.977135 & 1.0449 \tabularnewline
65 & 4305 & 4195.18 & 4171.88 & 1.00559 & 1.02618 \tabularnewline
66 & 4445 & 4515.53 & 4195.75 & 1.07622 & 0.98438 \tabularnewline
67 & 4844 & 4766.08 & 4219 & 1.12967 & 1.01635 \tabularnewline
68 & 4999 & 4975.14 & 4244.79 & 1.17206 & 1.0048 \tabularnewline
69 & 4020 & 4089.91 & 4267.83 & 0.958311 & 0.982906 \tabularnewline
70 & 4214 & 4282.59 & 4281.96 & 1.00015 & 0.983985 \tabularnewline
71 & 3910 & 3971.12 & 4291.67 & 0.925309 & 0.98461 \tabularnewline
72 & 4119 & 4199.19 & 4311.62 & 0.973923 & 0.980904 \tabularnewline
73 & 3861 & 3904.1 & 4334.5 & 0.900704 & 0.98896 \tabularnewline
74 & 3803 & 3690.17 & 4354.33 & 0.84747 & 1.03058 \tabularnewline
75 & 4591 & 4526.17 & 4379.58 & 1.03347 & 1.01432 \tabularnewline
76 & 4317 & 4309.37 & 4410.21 & 0.977135 & 1.00177 \tabularnewline
77 & 4449 & 4467.36 & 4442.54 & 1.00559 & 0.99589 \tabularnewline
78 & 4780 & 4811.58 & 4470.83 & 1.07622 & 0.993436 \tabularnewline
79 & 5058 & 5075.85 & 4493.21 & 1.12967 & 0.996483 \tabularnewline
80 & 5261 & 5279.68 & 4504.62 & 1.17206 & 0.996462 \tabularnewline
81 & 4364 & 4321.38 & 4509.38 & 0.958311 & 1.00986 \tabularnewline
82 & 4605 & 4515.83 & 4515.17 & 1.00015 & 1.01975 \tabularnewline
83 & 4295 & 4183.47 & 4521.17 & 0.925309 & 1.02666 \tabularnewline
84 & 4413 & 4416.98 & 4535.25 & 0.973923 & 0.999098 \tabularnewline
85 & 4104 & 4099.63 & 4551.58 & 0.900704 & 1.00107 \tabularnewline
86 & 3834 & 3868.7 & 4565 & 0.84747 & 0.99103 \tabularnewline
87 & 4674 & 4731.44 & 4578.21 & 1.03347 & 0.98786 \tabularnewline
88 & 4373 & 4483.7 & 4588.62 & 0.977135 & 0.975309 \tabularnewline
89 & 4537 & 4626.45 & 4600.75 & 1.00559 & 0.980665 \tabularnewline
90 & 5030 & 4966.56 & 4614.83 & 1.07622 & 1.01277 \tabularnewline
91 & 5200 & 5231.09 & 4630.62 & 1.12967 & 0.994058 \tabularnewline
92 & 5441 & 5451.09 & 4650.88 & 1.17206 & 0.998148 \tabularnewline
93 & 4501 & 4478.99 & 4673.83 & 0.958311 & 1.00491 \tabularnewline
94 & 4718 & 4698.85 & 4698.17 & 1.00015 & 1.00407 \tabularnewline
95 & 4473 & 4367.84 & 4720.42 & 0.925309 & 1.02408 \tabularnewline
96 & 4573 & 4614.53 & 4738.08 & 0.973923 & 0.991001 \tabularnewline
97 & 4323 & 4285.55 & 4758 & 0.900704 & 1.00874 \tabularnewline
98 & 4101 & 4054.55 & 4784.29 & 0.84747 & 1.01146 \tabularnewline
99 & 4958 & 4970.26 & 4809.29 & 1.03347 & 0.997534 \tabularnewline
100 & 4673 & 4719.15 & 4829.58 & 0.977135 & 0.99022 \tabularnewline
101 & 4771 & 4871.86 & 4844.79 & 1.00559 & 0.979298 \tabularnewline
102 & 5220 & 5226.24 & 4856.12 & 1.07622 & 0.998806 \tabularnewline
103 & 5488 & 5488.46 & 4858.46 & 1.12967 & 0.999916 \tabularnewline
104 & 5784 & 5671.34 & 4838.79 & 1.17206 & 1.01986 \tabularnewline
105 & 4758 & 4599.73 & 4799.83 & 0.958311 & 1.03441 \tabularnewline
106 & 4948 & 4769.28 & 4768.58 & 1.00015 & 1.03747 \tabularnewline
107 & 4608 & 4403.16 & 4758.58 & 0.925309 & 1.04652 \tabularnewline
108 & 4710 & 4628.93 & 4752.88 & 0.973923 & 1.01751 \tabularnewline
109 & 4242 & 4275.49 & 4746.83 & 0.900704 & 0.992166 \tabularnewline
110 & 3710 & 4019.59 & 4743.04 & 0.84747 & 0.92298 \tabularnewline
111 & 4414 & 4898.82 & 4740.17 & 1.03347 & 0.901033 \tabularnewline
112 & 4467 & 4632.8 & 4741.21 & 0.977135 & 0.964212 \tabularnewline
113 & 4737 & 4765.77 & 4739.29 & 1.00559 & 0.993963 \tabularnewline
114 & 5117 & 5100.86 & 4739.62 & 1.07622 & 1.00316 \tabularnewline
115 & 5446 & 5364.06 & 4748.33 & 1.12967 & 1.01528 \tabularnewline
116 & 5735 & 5596.04 & 4774.54 & 1.17206 & 1.02483 \tabularnewline
117 & 4738 & 4616.78 & 4817.63 & 0.958311 & 1.02626 \tabularnewline
118 & 4993 & 4848.29 & 4847.58 & 1.00015 & 1.02985 \tabularnewline
119 & 4517 & 4501.01 & 4864.33 & 0.925309 & 1.00355 \tabularnewline
120 & 4809 & 4763.37 & 4890.92 & 0.973923 & 1.00958 \tabularnewline
121 & 4352 & NA & NA & 0.900704 & NA \tabularnewline
122 & 4229 & NA & NA & 0.84747 & NA \tabularnewline
123 & 4929 & NA & NA & 1.03347 & NA \tabularnewline
124 & 4671 & NA & NA & 0.977135 & NA \tabularnewline
125 & 4935 & NA & NA & 1.00559 & NA \tabularnewline
126 & 5557 & NA & NA & 1.07622 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=299884&T=1

[TABLE]
[ROW][C]Classical Decomposition by Moving Averages[/C][/ROW]
[ROW][C]t[/C][C]Observations[/C][C]Fit[/C][C]Trend[/C][C]Seasonal[/C][C]Random[/C][/ROW]
[ROW][C]1[/C][C]2473[/C][C]NA[/C][C]NA[/C][C]0.900704[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]2314[/C][C]NA[/C][C]NA[/C][C]0.84747[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]2789[/C][C]NA[/C][C]NA[/C][C]1.03347[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]2722[/C][C]NA[/C][C]NA[/C][C]0.977135[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]2732[/C][C]NA[/C][C]NA[/C][C]1.00559[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]2917[/C][C]NA[/C][C]NA[/C][C]1.07622[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]3100[/C][C]3099.58[/C][C]2743.79[/C][C]1.12967[/C][C]1.00013[/C][/ROW]
[ROW][C]8[/C][C]3156[/C][C]3232.34[/C][C]2757.83[/C][C]1.17206[/C][C]0.976383[/C][/ROW]
[ROW][C]9[/C][C]2589[/C][C]2665.1[/C][C]2781.04[/C][C]0.958311[/C][C]0.971445[/C][/ROW]
[ROW][C]10[/C][C]2734[/C][C]2801.45[/C][C]2801.04[/C][C]1.00015[/C][C]0.975923[/C][/ROW]
[ROW][C]11[/C][C]2551[/C][C]2603.01[/C][C]2813.13[/C][C]0.925309[/C][C]0.98002[/C][/ROW]
[ROW][C]12[/C][C]2773[/C][C]2760.14[/C][C]2834.04[/C][C]0.973923[/C][C]1.00466[/C][/ROW]
[ROW][C]13[/C][C]2624[/C][C]2573.69[/C][C]2857.42[/C][C]0.900704[/C][C]1.01955[/C][/ROW]
[ROW][C]14[/C][C]2500[/C][C]2438.7[/C][C]2877.63[/C][C]0.84747[/C][C]1.02514[/C][/ROW]
[ROW][C]15[/C][C]3160[/C][C]2997.8[/C][C]2900.71[/C][C]1.03347[/C][C]1.05411[/C][/ROW]
[ROW][C]16[/C][C]2831[/C][C]2860.03[/C][C]2926.96[/C][C]0.977135[/C][C]0.989849[/C][/ROW]
[ROW][C]17[/C][C]2913[/C][C]2967.49[/C][C]2951[/C][C]1.00559[/C][C]0.981639[/C][/ROW]
[ROW][C]18[/C][C]3238[/C][C]3197.12[/C][C]2970.71[/C][C]1.07622[/C][C]1.01279[/C][/ROW]
[ROW][C]19[/C][C]3340[/C][C]3372.73[/C][C]2985.58[/C][C]1.12967[/C][C]0.990296[/C][/ROW]
[ROW][C]20[/C][C]3401[/C][C]3514.22[/C][C]2998.33[/C][C]1.17206[/C][C]0.967783[/C][/ROW]
[ROW][C]21[/C][C]2898[/C][C]2883.4[/C][C]3008.83[/C][C]0.958311[/C][C]1.00506[/C][/ROW]
[ROW][C]22[/C][C]3055[/C][C]3025.61[/C][C]3025.17[/C][C]1.00015[/C][C]1.00971[/C][/ROW]
[ROW][C]23[/C][C]2807[/C][C]2823.93[/C][C]3051.88[/C][C]0.925309[/C][C]0.994006[/C][/ROW]
[ROW][C]24[/C][C]2990[/C][C]2996.27[/C][C]3076.5[/C][C]0.973923[/C][C]0.997906[/C][/ROW]
[ROW][C]25[/C][C]2764[/C][C]2789.71[/C][C]3097.25[/C][C]0.900704[/C][C]0.990785[/C][/ROW]
[ROW][C]26[/C][C]2666[/C][C]2647.39[/C][C]3123.88[/C][C]0.84747[/C][C]1.00703[/C][/ROW]
[ROW][C]27[/C][C]3246[/C][C]3258.06[/C][C]3152.54[/C][C]1.03347[/C][C]0.996299[/C][/ROW]
[ROW][C]28[/C][C]3137[/C][C]3101.79[/C][C]3174.37[/C][C]0.977135[/C][C]1.01135[/C][/ROW]
[ROW][C]29[/C][C]3248[/C][C]3213.1[/C][C]3195.25[/C][C]1.00559[/C][C]1.01086[/C][/ROW]
[ROW][C]30[/C][C]3494[/C][C]3460.62[/C][C]3215.54[/C][C]1.07622[/C][C]1.00965[/C][/ROW]
[ROW][C]31[/C][C]3582[/C][C]3654.53[/C][C]3235.04[/C][C]1.12967[/C][C]0.980152[/C][/ROW]
[ROW][C]32[/C][C]3798[/C][C]3810.6[/C][C]3251.21[/C][C]1.17206[/C][C]0.996693[/C][/ROW]
[ROW][C]33[/C][C]3189[/C][C]3132.36[/C][C]3268.62[/C][C]0.958311[/C][C]1.01808[/C][/ROW]
[ROW][C]34[/C][C]3288[/C][C]3291.31[/C][C]3290.83[/C][C]1.00015[/C][C]0.998993[/C][/ROW]
[ROW][C]35[/C][C]3075[/C][C]3066.24[/C][C]3313.75[/C][C]0.925309[/C][C]1.00286[/C][/ROW]
[ROW][C]36[/C][C]3209[/C][C]3248.23[/C][C]3335.21[/C][C]0.973923[/C][C]0.987921[/C][/ROW]
[ROW][C]37[/C][C]3013[/C][C]3024.9[/C][C]3358.37[/C][C]0.900704[/C][C]0.996065[/C][/ROW]
[ROW][C]38[/C][C]2805[/C][C]2866.6[/C][C]3382.54[/C][C]0.84747[/C][C]0.97851[/C][/ROW]
[ROW][C]39[/C][C]3525[/C][C]3508.33[/C][C]3394.71[/C][C]1.03347[/C][C]1.00475[/C][/ROW]
[ROW][C]40[/C][C]3391[/C][C]3324.82[/C][C]3402.62[/C][C]0.977135[/C][C]1.0199[/C][/ROW]
[ROW][C]41[/C][C]3544[/C][C]3431.36[/C][C]3412.29[/C][C]1.00559[/C][C]1.03283[/C][/ROW]
[ROW][C]42[/C][C]3713[/C][C]3691.56[/C][C]3430.13[/C][C]1.07622[/C][C]1.00581[/C][/ROW]
[ROW][C]43[/C][C]3919[/C][C]3906.45[/C][C]3458.04[/C][C]1.12967[/C][C]1.00321[/C][/ROW]
[ROW][C]44[/C][C]4041[/C][C]4086.57[/C][C]3486.67[/C][C]1.17206[/C][C]0.988848[/C][/ROW]
[ROW][C]45[/C][C]3238[/C][C]3370.46[/C][C]3517.08[/C][C]0.958311[/C][C]0.9607[/C][/ROW]
[ROW][C]46[/C][C]3429[/C][C]3544.1[/C][C]3543.58[/C][C]1.00015[/C][C]0.967523[/C][/ROW]
[ROW][C]47[/C][C]3166[/C][C]3297.88[/C][C]3564.08[/C][C]0.925309[/C][C]0.960012[/C][/ROW]
[ROW][C]48[/C][C]3546[/C][C]3492[/C][C]3585.5[/C][C]0.973923[/C][C]1.01546[/C][/ROW]
[ROW][C]49[/C][C]3346[/C][C]3255.29[/C][C]3614.17[/C][C]0.900704[/C][C]1.02786[/C][/ROW]
[ROW][C]50[/C][C]3159[/C][C]3097.43[/C][C]3654.92[/C][C]0.84747[/C][C]1.01988[/C][/ROW]
[ROW][C]51[/C][C]3901[/C][C]3819.88[/C][C]3696.17[/C][C]1.03347[/C][C]1.02124[/C][/ROW]
[ROW][C]52[/C][C]3651[/C][C]3643.94[/C][C]3729.21[/C][C]0.977135[/C][C]1.00194[/C][/ROW]
[ROW][C]53[/C][C]3776[/C][C]3783.06[/C][C]3762.04[/C][C]1.00559[/C][C]0.998134[/C][/ROW]
[ROW][C]54[/C][C]3995[/C][C]4082.13[/C][C]3793.04[/C][C]1.07622[/C][C]0.978655[/C][/ROW]
[ROW][C]55[/C][C]4325[/C][C]4309.84[/C][C]3815.12[/C][C]1.12967[/C][C]1.00352[/C][/ROW]
[ROW][C]56[/C][C]4613[/C][C]4497.92[/C][C]3837.62[/C][C]1.17206[/C][C]1.02559[/C][/ROW]
[ROW][C]57[/C][C]3656[/C][C]3708.82[/C][C]3870.17[/C][C]0.958311[/C][C]0.985757[/C][/ROW]
[ROW][C]58[/C][C]3804[/C][C]3913.11[/C][C]3912.54[/C][C]1.00015[/C][C]0.972116[/C][/ROW]
[ROW][C]59[/C][C]3579[/C][C]3662.95[/C][C]3958.62[/C][C]0.925309[/C][C]0.977081[/C][/ROW]
[ROW][C]60[/C][C]3877[/C][C]3895.12[/C][C]3999.42[/C][C]0.973923[/C][C]0.995347[/C][/ROW]
[ROW][C]61[/C][C]3545[/C][C]3638.66[/C][C]4039.79[/C][C]0.900704[/C][C]0.974261[/C][/ROW]
[ROW][C]62[/C][C]3500[/C][C]3455.56[/C][C]4077.5[/C][C]0.84747[/C][C]1.01286[/C][/ROW]
[ROW][C]63[/C][C]4341[/C][C]4246.27[/C][C]4108.75[/C][C]1.03347[/C][C]1.02231[/C][/ROW]
[ROW][C]64[/C][C]4228[/C][C]4046.32[/C][C]4141[/C][C]0.977135[/C][C]1.0449[/C][/ROW]
[ROW][C]65[/C][C]4305[/C][C]4195.18[/C][C]4171.88[/C][C]1.00559[/C][C]1.02618[/C][/ROW]
[ROW][C]66[/C][C]4445[/C][C]4515.53[/C][C]4195.75[/C][C]1.07622[/C][C]0.98438[/C][/ROW]
[ROW][C]67[/C][C]4844[/C][C]4766.08[/C][C]4219[/C][C]1.12967[/C][C]1.01635[/C][/ROW]
[ROW][C]68[/C][C]4999[/C][C]4975.14[/C][C]4244.79[/C][C]1.17206[/C][C]1.0048[/C][/ROW]
[ROW][C]69[/C][C]4020[/C][C]4089.91[/C][C]4267.83[/C][C]0.958311[/C][C]0.982906[/C][/ROW]
[ROW][C]70[/C][C]4214[/C][C]4282.59[/C][C]4281.96[/C][C]1.00015[/C][C]0.983985[/C][/ROW]
[ROW][C]71[/C][C]3910[/C][C]3971.12[/C][C]4291.67[/C][C]0.925309[/C][C]0.98461[/C][/ROW]
[ROW][C]72[/C][C]4119[/C][C]4199.19[/C][C]4311.62[/C][C]0.973923[/C][C]0.980904[/C][/ROW]
[ROW][C]73[/C][C]3861[/C][C]3904.1[/C][C]4334.5[/C][C]0.900704[/C][C]0.98896[/C][/ROW]
[ROW][C]74[/C][C]3803[/C][C]3690.17[/C][C]4354.33[/C][C]0.84747[/C][C]1.03058[/C][/ROW]
[ROW][C]75[/C][C]4591[/C][C]4526.17[/C][C]4379.58[/C][C]1.03347[/C][C]1.01432[/C][/ROW]
[ROW][C]76[/C][C]4317[/C][C]4309.37[/C][C]4410.21[/C][C]0.977135[/C][C]1.00177[/C][/ROW]
[ROW][C]77[/C][C]4449[/C][C]4467.36[/C][C]4442.54[/C][C]1.00559[/C][C]0.99589[/C][/ROW]
[ROW][C]78[/C][C]4780[/C][C]4811.58[/C][C]4470.83[/C][C]1.07622[/C][C]0.993436[/C][/ROW]
[ROW][C]79[/C][C]5058[/C][C]5075.85[/C][C]4493.21[/C][C]1.12967[/C][C]0.996483[/C][/ROW]
[ROW][C]80[/C][C]5261[/C][C]5279.68[/C][C]4504.62[/C][C]1.17206[/C][C]0.996462[/C][/ROW]
[ROW][C]81[/C][C]4364[/C][C]4321.38[/C][C]4509.38[/C][C]0.958311[/C][C]1.00986[/C][/ROW]
[ROW][C]82[/C][C]4605[/C][C]4515.83[/C][C]4515.17[/C][C]1.00015[/C][C]1.01975[/C][/ROW]
[ROW][C]83[/C][C]4295[/C][C]4183.47[/C][C]4521.17[/C][C]0.925309[/C][C]1.02666[/C][/ROW]
[ROW][C]84[/C][C]4413[/C][C]4416.98[/C][C]4535.25[/C][C]0.973923[/C][C]0.999098[/C][/ROW]
[ROW][C]85[/C][C]4104[/C][C]4099.63[/C][C]4551.58[/C][C]0.900704[/C][C]1.00107[/C][/ROW]
[ROW][C]86[/C][C]3834[/C][C]3868.7[/C][C]4565[/C][C]0.84747[/C][C]0.99103[/C][/ROW]
[ROW][C]87[/C][C]4674[/C][C]4731.44[/C][C]4578.21[/C][C]1.03347[/C][C]0.98786[/C][/ROW]
[ROW][C]88[/C][C]4373[/C][C]4483.7[/C][C]4588.62[/C][C]0.977135[/C][C]0.975309[/C][/ROW]
[ROW][C]89[/C][C]4537[/C][C]4626.45[/C][C]4600.75[/C][C]1.00559[/C][C]0.980665[/C][/ROW]
[ROW][C]90[/C][C]5030[/C][C]4966.56[/C][C]4614.83[/C][C]1.07622[/C][C]1.01277[/C][/ROW]
[ROW][C]91[/C][C]5200[/C][C]5231.09[/C][C]4630.62[/C][C]1.12967[/C][C]0.994058[/C][/ROW]
[ROW][C]92[/C][C]5441[/C][C]5451.09[/C][C]4650.88[/C][C]1.17206[/C][C]0.998148[/C][/ROW]
[ROW][C]93[/C][C]4501[/C][C]4478.99[/C][C]4673.83[/C][C]0.958311[/C][C]1.00491[/C][/ROW]
[ROW][C]94[/C][C]4718[/C][C]4698.85[/C][C]4698.17[/C][C]1.00015[/C][C]1.00407[/C][/ROW]
[ROW][C]95[/C][C]4473[/C][C]4367.84[/C][C]4720.42[/C][C]0.925309[/C][C]1.02408[/C][/ROW]
[ROW][C]96[/C][C]4573[/C][C]4614.53[/C][C]4738.08[/C][C]0.973923[/C][C]0.991001[/C][/ROW]
[ROW][C]97[/C][C]4323[/C][C]4285.55[/C][C]4758[/C][C]0.900704[/C][C]1.00874[/C][/ROW]
[ROW][C]98[/C][C]4101[/C][C]4054.55[/C][C]4784.29[/C][C]0.84747[/C][C]1.01146[/C][/ROW]
[ROW][C]99[/C][C]4958[/C][C]4970.26[/C][C]4809.29[/C][C]1.03347[/C][C]0.997534[/C][/ROW]
[ROW][C]100[/C][C]4673[/C][C]4719.15[/C][C]4829.58[/C][C]0.977135[/C][C]0.99022[/C][/ROW]
[ROW][C]101[/C][C]4771[/C][C]4871.86[/C][C]4844.79[/C][C]1.00559[/C][C]0.979298[/C][/ROW]
[ROW][C]102[/C][C]5220[/C][C]5226.24[/C][C]4856.12[/C][C]1.07622[/C][C]0.998806[/C][/ROW]
[ROW][C]103[/C][C]5488[/C][C]5488.46[/C][C]4858.46[/C][C]1.12967[/C][C]0.999916[/C][/ROW]
[ROW][C]104[/C][C]5784[/C][C]5671.34[/C][C]4838.79[/C][C]1.17206[/C][C]1.01986[/C][/ROW]
[ROW][C]105[/C][C]4758[/C][C]4599.73[/C][C]4799.83[/C][C]0.958311[/C][C]1.03441[/C][/ROW]
[ROW][C]106[/C][C]4948[/C][C]4769.28[/C][C]4768.58[/C][C]1.00015[/C][C]1.03747[/C][/ROW]
[ROW][C]107[/C][C]4608[/C][C]4403.16[/C][C]4758.58[/C][C]0.925309[/C][C]1.04652[/C][/ROW]
[ROW][C]108[/C][C]4710[/C][C]4628.93[/C][C]4752.88[/C][C]0.973923[/C][C]1.01751[/C][/ROW]
[ROW][C]109[/C][C]4242[/C][C]4275.49[/C][C]4746.83[/C][C]0.900704[/C][C]0.992166[/C][/ROW]
[ROW][C]110[/C][C]3710[/C][C]4019.59[/C][C]4743.04[/C][C]0.84747[/C][C]0.92298[/C][/ROW]
[ROW][C]111[/C][C]4414[/C][C]4898.82[/C][C]4740.17[/C][C]1.03347[/C][C]0.901033[/C][/ROW]
[ROW][C]112[/C][C]4467[/C][C]4632.8[/C][C]4741.21[/C][C]0.977135[/C][C]0.964212[/C][/ROW]
[ROW][C]113[/C][C]4737[/C][C]4765.77[/C][C]4739.29[/C][C]1.00559[/C][C]0.993963[/C][/ROW]
[ROW][C]114[/C][C]5117[/C][C]5100.86[/C][C]4739.62[/C][C]1.07622[/C][C]1.00316[/C][/ROW]
[ROW][C]115[/C][C]5446[/C][C]5364.06[/C][C]4748.33[/C][C]1.12967[/C][C]1.01528[/C][/ROW]
[ROW][C]116[/C][C]5735[/C][C]5596.04[/C][C]4774.54[/C][C]1.17206[/C][C]1.02483[/C][/ROW]
[ROW][C]117[/C][C]4738[/C][C]4616.78[/C][C]4817.63[/C][C]0.958311[/C][C]1.02626[/C][/ROW]
[ROW][C]118[/C][C]4993[/C][C]4848.29[/C][C]4847.58[/C][C]1.00015[/C][C]1.02985[/C][/ROW]
[ROW][C]119[/C][C]4517[/C][C]4501.01[/C][C]4864.33[/C][C]0.925309[/C][C]1.00355[/C][/ROW]
[ROW][C]120[/C][C]4809[/C][C]4763.37[/C][C]4890.92[/C][C]0.973923[/C][C]1.00958[/C][/ROW]
[ROW][C]121[/C][C]4352[/C][C]NA[/C][C]NA[/C][C]0.900704[/C][C]NA[/C][/ROW]
[ROW][C]122[/C][C]4229[/C][C]NA[/C][C]NA[/C][C]0.84747[/C][C]NA[/C][/ROW]
[ROW][C]123[/C][C]4929[/C][C]NA[/C][C]NA[/C][C]1.03347[/C][C]NA[/C][/ROW]
[ROW][C]124[/C][C]4671[/C][C]NA[/C][C]NA[/C][C]0.977135[/C][C]NA[/C][/ROW]
[ROW][C]125[/C][C]4935[/C][C]NA[/C][C]NA[/C][C]1.00559[/C][C]NA[/C][/ROW]
[ROW][C]126[/C][C]5557[/C][C]NA[/C][C]NA[/C][C]1.07622[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=299884&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=299884&T=1

As an alternative you can also use a QR Code:  

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

Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
12473NANA0.900704NA
22314NANA0.84747NA
32789NANA1.03347NA
42722NANA0.977135NA
52732NANA1.00559NA
62917NANA1.07622NA
731003099.582743.791.129671.00013
831563232.342757.831.172060.976383
925892665.12781.040.9583110.971445
1027342801.452801.041.000150.975923
1125512603.012813.130.9253090.98002
1227732760.142834.040.9739231.00466
1326242573.692857.420.9007041.01955
1425002438.72877.630.847471.02514
1531602997.82900.711.033471.05411
1628312860.032926.960.9771350.989849
1729132967.4929511.005590.981639
1832383197.122970.711.076221.01279
1933403372.732985.581.129670.990296
2034013514.222998.331.172060.967783
2128982883.43008.830.9583111.00506
2230553025.613025.171.000151.00971
2328072823.933051.880.9253090.994006
2429902996.273076.50.9739230.997906
2527642789.713097.250.9007040.990785
2626662647.393123.880.847471.00703
2732463258.063152.541.033470.996299
2831373101.793174.370.9771351.01135
2932483213.13195.251.005591.01086
3034943460.623215.541.076221.00965
3135823654.533235.041.129670.980152
3237983810.63251.211.172060.996693
3331893132.363268.620.9583111.01808
3432883291.313290.831.000150.998993
3530753066.243313.750.9253091.00286
3632093248.233335.210.9739230.987921
3730133024.93358.370.9007040.996065
3828052866.63382.540.847470.97851
3935253508.333394.711.033471.00475
4033913324.823402.620.9771351.0199
4135443431.363412.291.005591.03283
4237133691.563430.131.076221.00581
4339193906.453458.041.129671.00321
4440414086.573486.671.172060.988848
4532383370.463517.080.9583110.9607
4634293544.13543.581.000150.967523
4731663297.883564.080.9253090.960012
48354634923585.50.9739231.01546
4933463255.293614.170.9007041.02786
5031593097.433654.920.847471.01988
5139013819.883696.171.033471.02124
5236513643.943729.210.9771351.00194
5337763783.063762.041.005590.998134
5439954082.133793.041.076220.978655
5543254309.843815.121.129671.00352
5646134497.923837.621.172061.02559
5736563708.823870.170.9583110.985757
5838043913.113912.541.000150.972116
5935793662.953958.620.9253090.977081
6038773895.123999.420.9739230.995347
6135453638.664039.790.9007040.974261
6235003455.564077.50.847471.01286
6343414246.274108.751.033471.02231
6442284046.3241410.9771351.0449
6543054195.184171.881.005591.02618
6644454515.534195.751.076220.98438
6748444766.0842191.129671.01635
6849994975.144244.791.172061.0048
6940204089.914267.830.9583110.982906
7042144282.594281.961.000150.983985
7139103971.124291.670.9253090.98461
7241194199.194311.620.9739230.980904
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1265557NANA1.07622NA



Parameters (Session):
par1 = 12 ; par2 = 12 ; par3 = BFGS ;
Parameters (R input):
par1 = multiplicative ; par2 = 12 ;
R code (references can be found in the software module):
par2 <- as.numeric(par2)
x <- ts(x,freq=par2)
m <- decompose(x,type=par1)
m$figure
bitmap(file='test1.png')
plot(m)
dev.off()
mylagmax <- length(x)/2
bitmap(file='test2.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(x),lag.max = mylagmax,main='Observed')
acf(as.numeric(m$trend),na.action=na.pass,lag.max = mylagmax,main='Trend')
acf(as.numeric(m$seasonal),na.action=na.pass,lag.max = mylagmax,main='Seasonal')
acf(as.numeric(m$random),na.action=na.pass,lag.max = mylagmax,main='Random')
par(op)
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
spectrum(as.numeric(x),main='Observed')
spectrum(as.numeric(m$trend[!is.na(m$trend)]),main='Trend')
spectrum(as.numeric(m$seasonal[!is.na(m$seasonal)]),main='Seasonal')
spectrum(as.numeric(m$random[!is.na(m$random)]),main='Random')
par(op)
dev.off()
bitmap(file='test4.png')
op <- par(mfrow = c(2,2))
cpgram(as.numeric(x),main='Observed')
cpgram(as.numeric(m$trend[!is.na(m$trend)]),main='Trend')
cpgram(as.numeric(m$seasonal[!is.na(m$seasonal)]),main='Seasonal')
cpgram(as.numeric(m$random[!is.na(m$random)]),main='Random')
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Classical Decomposition by Moving Averages',6,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Observations',header=TRUE)
a<-table.element(a,'Fit',header=TRUE)
a<-table.element(a,'Trend',header=TRUE)
a<-table.element(a,'Seasonal',header=TRUE)
a<-table.element(a,'Random',header=TRUE)
a<-table.row.end(a)
for (i in 1:length(m$trend)) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
if (par1 == 'additive') a<-table.element(a,signif(m$trend[i]+m$seasonal[i],6)) else a<-table.element(a,signif(m$trend[i]*m$seasonal[i],6))
a<-table.element(a,signif(m$trend[i],6))
a<-table.element(a,signif(m$seasonal[i],6))
a<-table.element(a,signif(m$random[i],6))
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')