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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 computationFri, 23 Dec 2016 00:04:54 +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/23/t1482447947hbzeiulf1xyqzqn.htm/, Retrieved Tue, 07 May 2024 15:54:59 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=302729, Retrieved Tue, 07 May 2024 15:54:59 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact111
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [Classical decompo...] [2016-12-22 23:04:54] [36884fbde1107444791dd71ee0072a5a] [Current]
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Dataseries X:
3647
1885
4791
3178
2849
4716
3085
2799
3573
2721
3355
5667
2856
1944
4188
2949
3567
4137
3494
2489
3244
2669
2529
3377
3366
2073
4133
4213
3710
5123
3141
3084
3804
3203
2757
2243
5229
2857
3395
4882
7140
8945
6866
4205
3217
3079
2263
4187
2665
2073
3540
3686
2384
4500
1679
868
1869
3710
6904
3415
938
3359
3551
2278
3033
2280
2901
4812
4882
7896
5048
3741
4418
3471
5055
7595
8124
2333
3008
2744
2833
2428
4269
3207
5170
7767
4544
3741
2193
3432
5282
6635
4222
7317
4132
5048
4383
3761
4081
6491
5859
7139
7682
8649
6146
7137
9948
15819
8370
13222
16711
19059
8303
20781
9638
13444
6072
13442
14457
17705
16463
19194
20688
14739
12702
15760




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time2 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 time2 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=302729&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]2 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=302729&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=302729&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 time2 seconds
R ServerBig Analytics Cloud Computing Center







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
13647NANA-653.925NA
21885NANA-385.546NA
34791NANA517.047NA
43178NANA1088.73NA
52849NANA-187.967NA
64716NANA1300.13NA
730853018.033489.21-471.18166.9724
827993157.313458.71-301.402-358.307
935732009.583436.04-1426.461563.42
1027213234.513401.37-166.868-513.507
1133553371.663421.75-50.0932-16.6568
1256674165.083427.54737.5361501.92
1328562766.533420.46-653.92589.4668
1419443039.043424.58-385.546-1095.04
1541883915.013397.96517.047272.995
1629494470.823382.081088.73-1521.82
1735673157.533345.5-187.967409.467
1841374515.793215.671300.13-378.792
1934942670.323141.5-471.181823.681
2024892866.723168.12-301.402-377.723
2132441744.753171.21-1426.461499.25
2226693054.723221.58-166.868-385.715
2325293230.123280.21-50.0932-701.115
2433774064.793327.25737.536-687.786
2533662699.73353.62-653.925666.3
2620732978.163363.71-385.546-905.163
2741333928.883411.83517.047204.12
2842134546.153457.421088.73-333.149
2937103301.23489.17-187.967408.8
3051234751.543451.421300.13371.458
3131413010.613481.79-471.181130.389
3230843290.683592.08-301.402-206.682
3338042167.543594-1426.461636.46
3432033424.263591.12-166.868-221.257
3527573711.823761.92-50.0932-954.823
3622434801.624064.08737.536-2558.62
3752293724.624378.54-653.9251504.38
3828574194.914580.46-385.546-1337.91
3933955119.764602.71517.047-1724.76
4048825661.824573.081088.73-779.816
4171404359.374547.33-187.9672780.63
4289455907.884607.751300.133037.12
4368664110.744581.92-471.1812755.26
4442054141.024442.42-301.40263.9849
4532172989.334415.79-1426.46227.668
4630794205.134372-166.868-1126.13
4722634073.914124-50.0932-1810.91
4841874478.163740.62737.536-291.161
4926652685.373339.29-653.925-20.3665
5020732598.582984.13-385.546-525.579
5135403305.962788.92517.047234.036
5236863847.772759.041088.73-161.774
5323842790.742978.71-187.967-406.742
5445004440.043139.921300.1359.9576
5516792564.613035.79-471.181-885.611
568682716.023017.42-301.402-1848.02
57186916453071.46-1426.46224.002
5837102846.383013.25-166.868863.618
5969042931.532981.62-50.09323972.47
6034153653.72916.17737.536-238.703
619382220.662874.58-653.925-1282.66
6233592704.293089.83-385.546654.712
6335513896.763379.71517.047-345.755
6422784768.43679.671088.73-2490.4
6530333588.783776.75-187.967-555.783
6622805013.1337131300.13-2733.13
6729013400.43871.58-471.181-499.403
6848123719.854021.25-301.4021092.15
6948822662.124088.58-1426.462219.88
7078964205.924372.79-166.8683690.08
7150484756.374806.46-50.0932291.635
7237415758.335020.79737.536-2017.33
7344184373.535027.46-653.92544.4668
7434714560.24945.75-385.546-1089.2
7550555291.264774.21517.047-236.255
7675955549.7344611088.732045.27
7781244012.744200.71-187.9674111.26
7823335446.1341461300.13-3113.13
7930083683.94155.08-471.181-675.903
8027444064.024365.42-301.402-1320.02
8128333096.674523.12-1426.46-263.665
8224284174.384341.25-166.868-1746.38
8342693883.453933.54-50.0932385.552
8432074469.743732.21737.536-1262.74
8551703218.823872.75-653.9251951.18
8677673744.084129.62-385.5464022.92
8745444866.674349.62517.047-322.672
8837415699.944611.211088.73-1958.94
8921934621.244809.21-187.967-2428.24
9034326180.334880.211300.13-2748.33
9152824452.944924.12-471.181829.056
9266354423.024724.42-301.4022211.98
9342223111.754538.21-1426.461110.25
9473174466.634633.5-166.8682850.37
9541324850.744900.83-50.0932-718.74
9650485945.585208.04737.536-897.578
9743834808.575462.5-653.925-425.575
9837615260.875646.42-385.546-1499.87
9940816327.555810.5517.047-2246.55
10064916971.95883.171088.73-480.899
10158595930.036118-187.967-71.0332
10271398109.256809.121300.13-970.251
10376826952.867424.04-471.181729.139
10486497682.977984.38-301.402966.027
10561467478.378904.83-1426.46-1332.37
10671379787.889954.75-166.868-2650.88
107994810530.210580.2-50.0932-582.157
108158191198811250.5737.5363830.96
109837011246.511900.4-653.925-2876.49
1101322211796.212181.7-385.5461425.84
1111671112895.512378.4517.0473815.54
1121905913726.8126381088.735332.23
113830312900.713088.6-187.967-4597.66
1142078114655.213355.11300.136125.79
115963813299.713770.9-471.181-3661.69
1161344414055.514356.9-301.402-611.515
11760721334514771.5-1426.46-7273
1181344214590.314757.2-166.868-1148.3
1191445714710.414760.5-50.0932-253.365
1201770515472.114734.5737.5362232.92
12116463NANA-653.925NA
12219194NANA-385.546NA
12320688NANA517.047NA
12414739NANA1088.73NA
12512702NANA-187.967NA
12615760NANA1300.13NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 3647 & NA & NA & -653.925 & NA \tabularnewline
2 & 1885 & NA & NA & -385.546 & NA \tabularnewline
3 & 4791 & NA & NA & 517.047 & NA \tabularnewline
4 & 3178 & NA & NA & 1088.73 & NA \tabularnewline
5 & 2849 & NA & NA & -187.967 & NA \tabularnewline
6 & 4716 & NA & NA & 1300.13 & NA \tabularnewline
7 & 3085 & 3018.03 & 3489.21 & -471.181 & 66.9724 \tabularnewline
8 & 2799 & 3157.31 & 3458.71 & -301.402 & -358.307 \tabularnewline
9 & 3573 & 2009.58 & 3436.04 & -1426.46 & 1563.42 \tabularnewline
10 & 2721 & 3234.51 & 3401.37 & -166.868 & -513.507 \tabularnewline
11 & 3355 & 3371.66 & 3421.75 & -50.0932 & -16.6568 \tabularnewline
12 & 5667 & 4165.08 & 3427.54 & 737.536 & 1501.92 \tabularnewline
13 & 2856 & 2766.53 & 3420.46 & -653.925 & 89.4668 \tabularnewline
14 & 1944 & 3039.04 & 3424.58 & -385.546 & -1095.04 \tabularnewline
15 & 4188 & 3915.01 & 3397.96 & 517.047 & 272.995 \tabularnewline
16 & 2949 & 4470.82 & 3382.08 & 1088.73 & -1521.82 \tabularnewline
17 & 3567 & 3157.53 & 3345.5 & -187.967 & 409.467 \tabularnewline
18 & 4137 & 4515.79 & 3215.67 & 1300.13 & -378.792 \tabularnewline
19 & 3494 & 2670.32 & 3141.5 & -471.181 & 823.681 \tabularnewline
20 & 2489 & 2866.72 & 3168.12 & -301.402 & -377.723 \tabularnewline
21 & 3244 & 1744.75 & 3171.21 & -1426.46 & 1499.25 \tabularnewline
22 & 2669 & 3054.72 & 3221.58 & -166.868 & -385.715 \tabularnewline
23 & 2529 & 3230.12 & 3280.21 & -50.0932 & -701.115 \tabularnewline
24 & 3377 & 4064.79 & 3327.25 & 737.536 & -687.786 \tabularnewline
25 & 3366 & 2699.7 & 3353.62 & -653.925 & 666.3 \tabularnewline
26 & 2073 & 2978.16 & 3363.71 & -385.546 & -905.163 \tabularnewline
27 & 4133 & 3928.88 & 3411.83 & 517.047 & 204.12 \tabularnewline
28 & 4213 & 4546.15 & 3457.42 & 1088.73 & -333.149 \tabularnewline
29 & 3710 & 3301.2 & 3489.17 & -187.967 & 408.8 \tabularnewline
30 & 5123 & 4751.54 & 3451.42 & 1300.13 & 371.458 \tabularnewline
31 & 3141 & 3010.61 & 3481.79 & -471.181 & 130.389 \tabularnewline
32 & 3084 & 3290.68 & 3592.08 & -301.402 & -206.682 \tabularnewline
33 & 3804 & 2167.54 & 3594 & -1426.46 & 1636.46 \tabularnewline
34 & 3203 & 3424.26 & 3591.12 & -166.868 & -221.257 \tabularnewline
35 & 2757 & 3711.82 & 3761.92 & -50.0932 & -954.823 \tabularnewline
36 & 2243 & 4801.62 & 4064.08 & 737.536 & -2558.62 \tabularnewline
37 & 5229 & 3724.62 & 4378.54 & -653.925 & 1504.38 \tabularnewline
38 & 2857 & 4194.91 & 4580.46 & -385.546 & -1337.91 \tabularnewline
39 & 3395 & 5119.76 & 4602.71 & 517.047 & -1724.76 \tabularnewline
40 & 4882 & 5661.82 & 4573.08 & 1088.73 & -779.816 \tabularnewline
41 & 7140 & 4359.37 & 4547.33 & -187.967 & 2780.63 \tabularnewline
42 & 8945 & 5907.88 & 4607.75 & 1300.13 & 3037.12 \tabularnewline
43 & 6866 & 4110.74 & 4581.92 & -471.181 & 2755.26 \tabularnewline
44 & 4205 & 4141.02 & 4442.42 & -301.402 & 63.9849 \tabularnewline
45 & 3217 & 2989.33 & 4415.79 & -1426.46 & 227.668 \tabularnewline
46 & 3079 & 4205.13 & 4372 & -166.868 & -1126.13 \tabularnewline
47 & 2263 & 4073.91 & 4124 & -50.0932 & -1810.91 \tabularnewline
48 & 4187 & 4478.16 & 3740.62 & 737.536 & -291.161 \tabularnewline
49 & 2665 & 2685.37 & 3339.29 & -653.925 & -20.3665 \tabularnewline
50 & 2073 & 2598.58 & 2984.13 & -385.546 & -525.579 \tabularnewline
51 & 3540 & 3305.96 & 2788.92 & 517.047 & 234.036 \tabularnewline
52 & 3686 & 3847.77 & 2759.04 & 1088.73 & -161.774 \tabularnewline
53 & 2384 & 2790.74 & 2978.71 & -187.967 & -406.742 \tabularnewline
54 & 4500 & 4440.04 & 3139.92 & 1300.13 & 59.9576 \tabularnewline
55 & 1679 & 2564.61 & 3035.79 & -471.181 & -885.611 \tabularnewline
56 & 868 & 2716.02 & 3017.42 & -301.402 & -1848.02 \tabularnewline
57 & 1869 & 1645 & 3071.46 & -1426.46 & 224.002 \tabularnewline
58 & 3710 & 2846.38 & 3013.25 & -166.868 & 863.618 \tabularnewline
59 & 6904 & 2931.53 & 2981.62 & -50.0932 & 3972.47 \tabularnewline
60 & 3415 & 3653.7 & 2916.17 & 737.536 & -238.703 \tabularnewline
61 & 938 & 2220.66 & 2874.58 & -653.925 & -1282.66 \tabularnewline
62 & 3359 & 2704.29 & 3089.83 & -385.546 & 654.712 \tabularnewline
63 & 3551 & 3896.76 & 3379.71 & 517.047 & -345.755 \tabularnewline
64 & 2278 & 4768.4 & 3679.67 & 1088.73 & -2490.4 \tabularnewline
65 & 3033 & 3588.78 & 3776.75 & -187.967 & -555.783 \tabularnewline
66 & 2280 & 5013.13 & 3713 & 1300.13 & -2733.13 \tabularnewline
67 & 2901 & 3400.4 & 3871.58 & -471.181 & -499.403 \tabularnewline
68 & 4812 & 3719.85 & 4021.25 & -301.402 & 1092.15 \tabularnewline
69 & 4882 & 2662.12 & 4088.58 & -1426.46 & 2219.88 \tabularnewline
70 & 7896 & 4205.92 & 4372.79 & -166.868 & 3690.08 \tabularnewline
71 & 5048 & 4756.37 & 4806.46 & -50.0932 & 291.635 \tabularnewline
72 & 3741 & 5758.33 & 5020.79 & 737.536 & -2017.33 \tabularnewline
73 & 4418 & 4373.53 & 5027.46 & -653.925 & 44.4668 \tabularnewline
74 & 3471 & 4560.2 & 4945.75 & -385.546 & -1089.2 \tabularnewline
75 & 5055 & 5291.26 & 4774.21 & 517.047 & -236.255 \tabularnewline
76 & 7595 & 5549.73 & 4461 & 1088.73 & 2045.27 \tabularnewline
77 & 8124 & 4012.74 & 4200.71 & -187.967 & 4111.26 \tabularnewline
78 & 2333 & 5446.13 & 4146 & 1300.13 & -3113.13 \tabularnewline
79 & 3008 & 3683.9 & 4155.08 & -471.181 & -675.903 \tabularnewline
80 & 2744 & 4064.02 & 4365.42 & -301.402 & -1320.02 \tabularnewline
81 & 2833 & 3096.67 & 4523.12 & -1426.46 & -263.665 \tabularnewline
82 & 2428 & 4174.38 & 4341.25 & -166.868 & -1746.38 \tabularnewline
83 & 4269 & 3883.45 & 3933.54 & -50.0932 & 385.552 \tabularnewline
84 & 3207 & 4469.74 & 3732.21 & 737.536 & -1262.74 \tabularnewline
85 & 5170 & 3218.82 & 3872.75 & -653.925 & 1951.18 \tabularnewline
86 & 7767 & 3744.08 & 4129.62 & -385.546 & 4022.92 \tabularnewline
87 & 4544 & 4866.67 & 4349.62 & 517.047 & -322.672 \tabularnewline
88 & 3741 & 5699.94 & 4611.21 & 1088.73 & -1958.94 \tabularnewline
89 & 2193 & 4621.24 & 4809.21 & -187.967 & -2428.24 \tabularnewline
90 & 3432 & 6180.33 & 4880.21 & 1300.13 & -2748.33 \tabularnewline
91 & 5282 & 4452.94 & 4924.12 & -471.181 & 829.056 \tabularnewline
92 & 6635 & 4423.02 & 4724.42 & -301.402 & 2211.98 \tabularnewline
93 & 4222 & 3111.75 & 4538.21 & -1426.46 & 1110.25 \tabularnewline
94 & 7317 & 4466.63 & 4633.5 & -166.868 & 2850.37 \tabularnewline
95 & 4132 & 4850.74 & 4900.83 & -50.0932 & -718.74 \tabularnewline
96 & 5048 & 5945.58 & 5208.04 & 737.536 & -897.578 \tabularnewline
97 & 4383 & 4808.57 & 5462.5 & -653.925 & -425.575 \tabularnewline
98 & 3761 & 5260.87 & 5646.42 & -385.546 & -1499.87 \tabularnewline
99 & 4081 & 6327.55 & 5810.5 & 517.047 & -2246.55 \tabularnewline
100 & 6491 & 6971.9 & 5883.17 & 1088.73 & -480.899 \tabularnewline
101 & 5859 & 5930.03 & 6118 & -187.967 & -71.0332 \tabularnewline
102 & 7139 & 8109.25 & 6809.12 & 1300.13 & -970.251 \tabularnewline
103 & 7682 & 6952.86 & 7424.04 & -471.181 & 729.139 \tabularnewline
104 & 8649 & 7682.97 & 7984.38 & -301.402 & 966.027 \tabularnewline
105 & 6146 & 7478.37 & 8904.83 & -1426.46 & -1332.37 \tabularnewline
106 & 7137 & 9787.88 & 9954.75 & -166.868 & -2650.88 \tabularnewline
107 & 9948 & 10530.2 & 10580.2 & -50.0932 & -582.157 \tabularnewline
108 & 15819 & 11988 & 11250.5 & 737.536 & 3830.96 \tabularnewline
109 & 8370 & 11246.5 & 11900.4 & -653.925 & -2876.49 \tabularnewline
110 & 13222 & 11796.2 & 12181.7 & -385.546 & 1425.84 \tabularnewline
111 & 16711 & 12895.5 & 12378.4 & 517.047 & 3815.54 \tabularnewline
112 & 19059 & 13726.8 & 12638 & 1088.73 & 5332.23 \tabularnewline
113 & 8303 & 12900.7 & 13088.6 & -187.967 & -4597.66 \tabularnewline
114 & 20781 & 14655.2 & 13355.1 & 1300.13 & 6125.79 \tabularnewline
115 & 9638 & 13299.7 & 13770.9 & -471.181 & -3661.69 \tabularnewline
116 & 13444 & 14055.5 & 14356.9 & -301.402 & -611.515 \tabularnewline
117 & 6072 & 13345 & 14771.5 & -1426.46 & -7273 \tabularnewline
118 & 13442 & 14590.3 & 14757.2 & -166.868 & -1148.3 \tabularnewline
119 & 14457 & 14710.4 & 14760.5 & -50.0932 & -253.365 \tabularnewline
120 & 17705 & 15472.1 & 14734.5 & 737.536 & 2232.92 \tabularnewline
121 & 16463 & NA & NA & -653.925 & NA \tabularnewline
122 & 19194 & NA & NA & -385.546 & NA \tabularnewline
123 & 20688 & NA & NA & 517.047 & NA \tabularnewline
124 & 14739 & NA & NA & 1088.73 & NA \tabularnewline
125 & 12702 & NA & NA & -187.967 & NA \tabularnewline
126 & 15760 & NA & NA & 1300.13 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=302729&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]3647[/C][C]NA[/C][C]NA[/C][C]-653.925[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]1885[/C][C]NA[/C][C]NA[/C][C]-385.546[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]4791[/C][C]NA[/C][C]NA[/C][C]517.047[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]3178[/C][C]NA[/C][C]NA[/C][C]1088.73[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]2849[/C][C]NA[/C][C]NA[/C][C]-187.967[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]4716[/C][C]NA[/C][C]NA[/C][C]1300.13[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]3085[/C][C]3018.03[/C][C]3489.21[/C][C]-471.181[/C][C]66.9724[/C][/ROW]
[ROW][C]8[/C][C]2799[/C][C]3157.31[/C][C]3458.71[/C][C]-301.402[/C][C]-358.307[/C][/ROW]
[ROW][C]9[/C][C]3573[/C][C]2009.58[/C][C]3436.04[/C][C]-1426.46[/C][C]1563.42[/C][/ROW]
[ROW][C]10[/C][C]2721[/C][C]3234.51[/C][C]3401.37[/C][C]-166.868[/C][C]-513.507[/C][/ROW]
[ROW][C]11[/C][C]3355[/C][C]3371.66[/C][C]3421.75[/C][C]-50.0932[/C][C]-16.6568[/C][/ROW]
[ROW][C]12[/C][C]5667[/C][C]4165.08[/C][C]3427.54[/C][C]737.536[/C][C]1501.92[/C][/ROW]
[ROW][C]13[/C][C]2856[/C][C]2766.53[/C][C]3420.46[/C][C]-653.925[/C][C]89.4668[/C][/ROW]
[ROW][C]14[/C][C]1944[/C][C]3039.04[/C][C]3424.58[/C][C]-385.546[/C][C]-1095.04[/C][/ROW]
[ROW][C]15[/C][C]4188[/C][C]3915.01[/C][C]3397.96[/C][C]517.047[/C][C]272.995[/C][/ROW]
[ROW][C]16[/C][C]2949[/C][C]4470.82[/C][C]3382.08[/C][C]1088.73[/C][C]-1521.82[/C][/ROW]
[ROW][C]17[/C][C]3567[/C][C]3157.53[/C][C]3345.5[/C][C]-187.967[/C][C]409.467[/C][/ROW]
[ROW][C]18[/C][C]4137[/C][C]4515.79[/C][C]3215.67[/C][C]1300.13[/C][C]-378.792[/C][/ROW]
[ROW][C]19[/C][C]3494[/C][C]2670.32[/C][C]3141.5[/C][C]-471.181[/C][C]823.681[/C][/ROW]
[ROW][C]20[/C][C]2489[/C][C]2866.72[/C][C]3168.12[/C][C]-301.402[/C][C]-377.723[/C][/ROW]
[ROW][C]21[/C][C]3244[/C][C]1744.75[/C][C]3171.21[/C][C]-1426.46[/C][C]1499.25[/C][/ROW]
[ROW][C]22[/C][C]2669[/C][C]3054.72[/C][C]3221.58[/C][C]-166.868[/C][C]-385.715[/C][/ROW]
[ROW][C]23[/C][C]2529[/C][C]3230.12[/C][C]3280.21[/C][C]-50.0932[/C][C]-701.115[/C][/ROW]
[ROW][C]24[/C][C]3377[/C][C]4064.79[/C][C]3327.25[/C][C]737.536[/C][C]-687.786[/C][/ROW]
[ROW][C]25[/C][C]3366[/C][C]2699.7[/C][C]3353.62[/C][C]-653.925[/C][C]666.3[/C][/ROW]
[ROW][C]26[/C][C]2073[/C][C]2978.16[/C][C]3363.71[/C][C]-385.546[/C][C]-905.163[/C][/ROW]
[ROW][C]27[/C][C]4133[/C][C]3928.88[/C][C]3411.83[/C][C]517.047[/C][C]204.12[/C][/ROW]
[ROW][C]28[/C][C]4213[/C][C]4546.15[/C][C]3457.42[/C][C]1088.73[/C][C]-333.149[/C][/ROW]
[ROW][C]29[/C][C]3710[/C][C]3301.2[/C][C]3489.17[/C][C]-187.967[/C][C]408.8[/C][/ROW]
[ROW][C]30[/C][C]5123[/C][C]4751.54[/C][C]3451.42[/C][C]1300.13[/C][C]371.458[/C][/ROW]
[ROW][C]31[/C][C]3141[/C][C]3010.61[/C][C]3481.79[/C][C]-471.181[/C][C]130.389[/C][/ROW]
[ROW][C]32[/C][C]3084[/C][C]3290.68[/C][C]3592.08[/C][C]-301.402[/C][C]-206.682[/C][/ROW]
[ROW][C]33[/C][C]3804[/C][C]2167.54[/C][C]3594[/C][C]-1426.46[/C][C]1636.46[/C][/ROW]
[ROW][C]34[/C][C]3203[/C][C]3424.26[/C][C]3591.12[/C][C]-166.868[/C][C]-221.257[/C][/ROW]
[ROW][C]35[/C][C]2757[/C][C]3711.82[/C][C]3761.92[/C][C]-50.0932[/C][C]-954.823[/C][/ROW]
[ROW][C]36[/C][C]2243[/C][C]4801.62[/C][C]4064.08[/C][C]737.536[/C][C]-2558.62[/C][/ROW]
[ROW][C]37[/C][C]5229[/C][C]3724.62[/C][C]4378.54[/C][C]-653.925[/C][C]1504.38[/C][/ROW]
[ROW][C]38[/C][C]2857[/C][C]4194.91[/C][C]4580.46[/C][C]-385.546[/C][C]-1337.91[/C][/ROW]
[ROW][C]39[/C][C]3395[/C][C]5119.76[/C][C]4602.71[/C][C]517.047[/C][C]-1724.76[/C][/ROW]
[ROW][C]40[/C][C]4882[/C][C]5661.82[/C][C]4573.08[/C][C]1088.73[/C][C]-779.816[/C][/ROW]
[ROW][C]41[/C][C]7140[/C][C]4359.37[/C][C]4547.33[/C][C]-187.967[/C][C]2780.63[/C][/ROW]
[ROW][C]42[/C][C]8945[/C][C]5907.88[/C][C]4607.75[/C][C]1300.13[/C][C]3037.12[/C][/ROW]
[ROW][C]43[/C][C]6866[/C][C]4110.74[/C][C]4581.92[/C][C]-471.181[/C][C]2755.26[/C][/ROW]
[ROW][C]44[/C][C]4205[/C][C]4141.02[/C][C]4442.42[/C][C]-301.402[/C][C]63.9849[/C][/ROW]
[ROW][C]45[/C][C]3217[/C][C]2989.33[/C][C]4415.79[/C][C]-1426.46[/C][C]227.668[/C][/ROW]
[ROW][C]46[/C][C]3079[/C][C]4205.13[/C][C]4372[/C][C]-166.868[/C][C]-1126.13[/C][/ROW]
[ROW][C]47[/C][C]2263[/C][C]4073.91[/C][C]4124[/C][C]-50.0932[/C][C]-1810.91[/C][/ROW]
[ROW][C]48[/C][C]4187[/C][C]4478.16[/C][C]3740.62[/C][C]737.536[/C][C]-291.161[/C][/ROW]
[ROW][C]49[/C][C]2665[/C][C]2685.37[/C][C]3339.29[/C][C]-653.925[/C][C]-20.3665[/C][/ROW]
[ROW][C]50[/C][C]2073[/C][C]2598.58[/C][C]2984.13[/C][C]-385.546[/C][C]-525.579[/C][/ROW]
[ROW][C]51[/C][C]3540[/C][C]3305.96[/C][C]2788.92[/C][C]517.047[/C][C]234.036[/C][/ROW]
[ROW][C]52[/C][C]3686[/C][C]3847.77[/C][C]2759.04[/C][C]1088.73[/C][C]-161.774[/C][/ROW]
[ROW][C]53[/C][C]2384[/C][C]2790.74[/C][C]2978.71[/C][C]-187.967[/C][C]-406.742[/C][/ROW]
[ROW][C]54[/C][C]4500[/C][C]4440.04[/C][C]3139.92[/C][C]1300.13[/C][C]59.9576[/C][/ROW]
[ROW][C]55[/C][C]1679[/C][C]2564.61[/C][C]3035.79[/C][C]-471.181[/C][C]-885.611[/C][/ROW]
[ROW][C]56[/C][C]868[/C][C]2716.02[/C][C]3017.42[/C][C]-301.402[/C][C]-1848.02[/C][/ROW]
[ROW][C]57[/C][C]1869[/C][C]1645[/C][C]3071.46[/C][C]-1426.46[/C][C]224.002[/C][/ROW]
[ROW][C]58[/C][C]3710[/C][C]2846.38[/C][C]3013.25[/C][C]-166.868[/C][C]863.618[/C][/ROW]
[ROW][C]59[/C][C]6904[/C][C]2931.53[/C][C]2981.62[/C][C]-50.0932[/C][C]3972.47[/C][/ROW]
[ROW][C]60[/C][C]3415[/C][C]3653.7[/C][C]2916.17[/C][C]737.536[/C][C]-238.703[/C][/ROW]
[ROW][C]61[/C][C]938[/C][C]2220.66[/C][C]2874.58[/C][C]-653.925[/C][C]-1282.66[/C][/ROW]
[ROW][C]62[/C][C]3359[/C][C]2704.29[/C][C]3089.83[/C][C]-385.546[/C][C]654.712[/C][/ROW]
[ROW][C]63[/C][C]3551[/C][C]3896.76[/C][C]3379.71[/C][C]517.047[/C][C]-345.755[/C][/ROW]
[ROW][C]64[/C][C]2278[/C][C]4768.4[/C][C]3679.67[/C][C]1088.73[/C][C]-2490.4[/C][/ROW]
[ROW][C]65[/C][C]3033[/C][C]3588.78[/C][C]3776.75[/C][C]-187.967[/C][C]-555.783[/C][/ROW]
[ROW][C]66[/C][C]2280[/C][C]5013.13[/C][C]3713[/C][C]1300.13[/C][C]-2733.13[/C][/ROW]
[ROW][C]67[/C][C]2901[/C][C]3400.4[/C][C]3871.58[/C][C]-471.181[/C][C]-499.403[/C][/ROW]
[ROW][C]68[/C][C]4812[/C][C]3719.85[/C][C]4021.25[/C][C]-301.402[/C][C]1092.15[/C][/ROW]
[ROW][C]69[/C][C]4882[/C][C]2662.12[/C][C]4088.58[/C][C]-1426.46[/C][C]2219.88[/C][/ROW]
[ROW][C]70[/C][C]7896[/C][C]4205.92[/C][C]4372.79[/C][C]-166.868[/C][C]3690.08[/C][/ROW]
[ROW][C]71[/C][C]5048[/C][C]4756.37[/C][C]4806.46[/C][C]-50.0932[/C][C]291.635[/C][/ROW]
[ROW][C]72[/C][C]3741[/C][C]5758.33[/C][C]5020.79[/C][C]737.536[/C][C]-2017.33[/C][/ROW]
[ROW][C]73[/C][C]4418[/C][C]4373.53[/C][C]5027.46[/C][C]-653.925[/C][C]44.4668[/C][/ROW]
[ROW][C]74[/C][C]3471[/C][C]4560.2[/C][C]4945.75[/C][C]-385.546[/C][C]-1089.2[/C][/ROW]
[ROW][C]75[/C][C]5055[/C][C]5291.26[/C][C]4774.21[/C][C]517.047[/C][C]-236.255[/C][/ROW]
[ROW][C]76[/C][C]7595[/C][C]5549.73[/C][C]4461[/C][C]1088.73[/C][C]2045.27[/C][/ROW]
[ROW][C]77[/C][C]8124[/C][C]4012.74[/C][C]4200.71[/C][C]-187.967[/C][C]4111.26[/C][/ROW]
[ROW][C]78[/C][C]2333[/C][C]5446.13[/C][C]4146[/C][C]1300.13[/C][C]-3113.13[/C][/ROW]
[ROW][C]79[/C][C]3008[/C][C]3683.9[/C][C]4155.08[/C][C]-471.181[/C][C]-675.903[/C][/ROW]
[ROW][C]80[/C][C]2744[/C][C]4064.02[/C][C]4365.42[/C][C]-301.402[/C][C]-1320.02[/C][/ROW]
[ROW][C]81[/C][C]2833[/C][C]3096.67[/C][C]4523.12[/C][C]-1426.46[/C][C]-263.665[/C][/ROW]
[ROW][C]82[/C][C]2428[/C][C]4174.38[/C][C]4341.25[/C][C]-166.868[/C][C]-1746.38[/C][/ROW]
[ROW][C]83[/C][C]4269[/C][C]3883.45[/C][C]3933.54[/C][C]-50.0932[/C][C]385.552[/C][/ROW]
[ROW][C]84[/C][C]3207[/C][C]4469.74[/C][C]3732.21[/C][C]737.536[/C][C]-1262.74[/C][/ROW]
[ROW][C]85[/C][C]5170[/C][C]3218.82[/C][C]3872.75[/C][C]-653.925[/C][C]1951.18[/C][/ROW]
[ROW][C]86[/C][C]7767[/C][C]3744.08[/C][C]4129.62[/C][C]-385.546[/C][C]4022.92[/C][/ROW]
[ROW][C]87[/C][C]4544[/C][C]4866.67[/C][C]4349.62[/C][C]517.047[/C][C]-322.672[/C][/ROW]
[ROW][C]88[/C][C]3741[/C][C]5699.94[/C][C]4611.21[/C][C]1088.73[/C][C]-1958.94[/C][/ROW]
[ROW][C]89[/C][C]2193[/C][C]4621.24[/C][C]4809.21[/C][C]-187.967[/C][C]-2428.24[/C][/ROW]
[ROW][C]90[/C][C]3432[/C][C]6180.33[/C][C]4880.21[/C][C]1300.13[/C][C]-2748.33[/C][/ROW]
[ROW][C]91[/C][C]5282[/C][C]4452.94[/C][C]4924.12[/C][C]-471.181[/C][C]829.056[/C][/ROW]
[ROW][C]92[/C][C]6635[/C][C]4423.02[/C][C]4724.42[/C][C]-301.402[/C][C]2211.98[/C][/ROW]
[ROW][C]93[/C][C]4222[/C][C]3111.75[/C][C]4538.21[/C][C]-1426.46[/C][C]1110.25[/C][/ROW]
[ROW][C]94[/C][C]7317[/C][C]4466.63[/C][C]4633.5[/C][C]-166.868[/C][C]2850.37[/C][/ROW]
[ROW][C]95[/C][C]4132[/C][C]4850.74[/C][C]4900.83[/C][C]-50.0932[/C][C]-718.74[/C][/ROW]
[ROW][C]96[/C][C]5048[/C][C]5945.58[/C][C]5208.04[/C][C]737.536[/C][C]-897.578[/C][/ROW]
[ROW][C]97[/C][C]4383[/C][C]4808.57[/C][C]5462.5[/C][C]-653.925[/C][C]-425.575[/C][/ROW]
[ROW][C]98[/C][C]3761[/C][C]5260.87[/C][C]5646.42[/C][C]-385.546[/C][C]-1499.87[/C][/ROW]
[ROW][C]99[/C][C]4081[/C][C]6327.55[/C][C]5810.5[/C][C]517.047[/C][C]-2246.55[/C][/ROW]
[ROW][C]100[/C][C]6491[/C][C]6971.9[/C][C]5883.17[/C][C]1088.73[/C][C]-480.899[/C][/ROW]
[ROW][C]101[/C][C]5859[/C][C]5930.03[/C][C]6118[/C][C]-187.967[/C][C]-71.0332[/C][/ROW]
[ROW][C]102[/C][C]7139[/C][C]8109.25[/C][C]6809.12[/C][C]1300.13[/C][C]-970.251[/C][/ROW]
[ROW][C]103[/C][C]7682[/C][C]6952.86[/C][C]7424.04[/C][C]-471.181[/C][C]729.139[/C][/ROW]
[ROW][C]104[/C][C]8649[/C][C]7682.97[/C][C]7984.38[/C][C]-301.402[/C][C]966.027[/C][/ROW]
[ROW][C]105[/C][C]6146[/C][C]7478.37[/C][C]8904.83[/C][C]-1426.46[/C][C]-1332.37[/C][/ROW]
[ROW][C]106[/C][C]7137[/C][C]9787.88[/C][C]9954.75[/C][C]-166.868[/C][C]-2650.88[/C][/ROW]
[ROW][C]107[/C][C]9948[/C][C]10530.2[/C][C]10580.2[/C][C]-50.0932[/C][C]-582.157[/C][/ROW]
[ROW][C]108[/C][C]15819[/C][C]11988[/C][C]11250.5[/C][C]737.536[/C][C]3830.96[/C][/ROW]
[ROW][C]109[/C][C]8370[/C][C]11246.5[/C][C]11900.4[/C][C]-653.925[/C][C]-2876.49[/C][/ROW]
[ROW][C]110[/C][C]13222[/C][C]11796.2[/C][C]12181.7[/C][C]-385.546[/C][C]1425.84[/C][/ROW]
[ROW][C]111[/C][C]16711[/C][C]12895.5[/C][C]12378.4[/C][C]517.047[/C][C]3815.54[/C][/ROW]
[ROW][C]112[/C][C]19059[/C][C]13726.8[/C][C]12638[/C][C]1088.73[/C][C]5332.23[/C][/ROW]
[ROW][C]113[/C][C]8303[/C][C]12900.7[/C][C]13088.6[/C][C]-187.967[/C][C]-4597.66[/C][/ROW]
[ROW][C]114[/C][C]20781[/C][C]14655.2[/C][C]13355.1[/C][C]1300.13[/C][C]6125.79[/C][/ROW]
[ROW][C]115[/C][C]9638[/C][C]13299.7[/C][C]13770.9[/C][C]-471.181[/C][C]-3661.69[/C][/ROW]
[ROW][C]116[/C][C]13444[/C][C]14055.5[/C][C]14356.9[/C][C]-301.402[/C][C]-611.515[/C][/ROW]
[ROW][C]117[/C][C]6072[/C][C]13345[/C][C]14771.5[/C][C]-1426.46[/C][C]-7273[/C][/ROW]
[ROW][C]118[/C][C]13442[/C][C]14590.3[/C][C]14757.2[/C][C]-166.868[/C][C]-1148.3[/C][/ROW]
[ROW][C]119[/C][C]14457[/C][C]14710.4[/C][C]14760.5[/C][C]-50.0932[/C][C]-253.365[/C][/ROW]
[ROW][C]120[/C][C]17705[/C][C]15472.1[/C][C]14734.5[/C][C]737.536[/C][C]2232.92[/C][/ROW]
[ROW][C]121[/C][C]16463[/C][C]NA[/C][C]NA[/C][C]-653.925[/C][C]NA[/C][/ROW]
[ROW][C]122[/C][C]19194[/C][C]NA[/C][C]NA[/C][C]-385.546[/C][C]NA[/C][/ROW]
[ROW][C]123[/C][C]20688[/C][C]NA[/C][C]NA[/C][C]517.047[/C][C]NA[/C][/ROW]
[ROW][C]124[/C][C]14739[/C][C]NA[/C][C]NA[/C][C]1088.73[/C][C]NA[/C][/ROW]
[ROW][C]125[/C][C]12702[/C][C]NA[/C][C]NA[/C][C]-187.967[/C][C]NA[/C][/ROW]
[ROW][C]126[/C][C]15760[/C][C]NA[/C][C]NA[/C][C]1300.13[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=302729&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=302729&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
13647NANA-653.925NA
21885NANA-385.546NA
34791NANA517.047NA
43178NANA1088.73NA
52849NANA-187.967NA
64716NANA1300.13NA
730853018.033489.21-471.18166.9724
827993157.313458.71-301.402-358.307
935732009.583436.04-1426.461563.42
1027213234.513401.37-166.868-513.507
1133553371.663421.75-50.0932-16.6568
1256674165.083427.54737.5361501.92
1328562766.533420.46-653.92589.4668
1419443039.043424.58-385.546-1095.04
1541883915.013397.96517.047272.995
1629494470.823382.081088.73-1521.82
1735673157.533345.5-187.967409.467
1841374515.793215.671300.13-378.792
1934942670.323141.5-471.181823.681
2024892866.723168.12-301.402-377.723
2132441744.753171.21-1426.461499.25
2226693054.723221.58-166.868-385.715
2325293230.123280.21-50.0932-701.115
2433774064.793327.25737.536-687.786
2533662699.73353.62-653.925666.3
2620732978.163363.71-385.546-905.163
2741333928.883411.83517.047204.12
2842134546.153457.421088.73-333.149
2937103301.23489.17-187.967408.8
3051234751.543451.421300.13371.458
3131413010.613481.79-471.181130.389
3230843290.683592.08-301.402-206.682
3338042167.543594-1426.461636.46
3432033424.263591.12-166.868-221.257
3527573711.823761.92-50.0932-954.823
3622434801.624064.08737.536-2558.62
3752293724.624378.54-653.9251504.38
3828574194.914580.46-385.546-1337.91
3933955119.764602.71517.047-1724.76
4048825661.824573.081088.73-779.816
4171404359.374547.33-187.9672780.63
4289455907.884607.751300.133037.12
4368664110.744581.92-471.1812755.26
4442054141.024442.42-301.40263.9849
4532172989.334415.79-1426.46227.668
4630794205.134372-166.868-1126.13
4722634073.914124-50.0932-1810.91
4841874478.163740.62737.536-291.161
4926652685.373339.29-653.925-20.3665
5020732598.582984.13-385.546-525.579
5135403305.962788.92517.047234.036
5236863847.772759.041088.73-161.774
5323842790.742978.71-187.967-406.742
5445004440.043139.921300.1359.9576
5516792564.613035.79-471.181-885.611
568682716.023017.42-301.402-1848.02
57186916453071.46-1426.46224.002
5837102846.383013.25-166.868863.618
5969042931.532981.62-50.09323972.47
6034153653.72916.17737.536-238.703
619382220.662874.58-653.925-1282.66
6233592704.293089.83-385.546654.712
6335513896.763379.71517.047-345.755
6422784768.43679.671088.73-2490.4
6530333588.783776.75-187.967-555.783
6622805013.1337131300.13-2733.13
6729013400.43871.58-471.181-499.403
6848123719.854021.25-301.4021092.15
6948822662.124088.58-1426.462219.88
7078964205.924372.79-166.8683690.08
7150484756.374806.46-50.0932291.635
7237415758.335020.79737.536-2017.33
7344184373.535027.46-653.92544.4668
7434714560.24945.75-385.546-1089.2
7550555291.264774.21517.047-236.255
7675955549.7344611088.732045.27
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Parameters (Session):
par1 = additive ; par2 = 12 ;
Parameters (R input):
par1 = additive ; 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')