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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 computationWed, 14 Dec 2016 13:35:00 +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/14/t1481718923h5b334tt759q9it.htm/, Retrieved Fri, 03 May 2024 16:30:51 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=299361, Retrieved Fri, 03 May 2024 16:30:51 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact60
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [F1-competitie (ko...] [2016-12-14 12:35:00] [55eb8f21ed24cda91766c505eb72bb6f] [Current]
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Dataseries X:
2940
2780
3180
2780
2720
2920
3080
3300
3220
3460
3760
3760
3540
4180
4040
4380
4780
4640
5060
4560
4940
5000
5500
4940
4960
4860
5160
4940
4860
4880
4600
4620
4920
4960
4820
5400
4660
4080
4340
4500
4400
4720
4500
4580
4560
4620
4620
4940
4500
4840
4940
4940
5020
4920
4980
5340
5200
4940
5580
5260
5160
5960
5940
5780
5800
5660
5820
5540
5860
6040
6120
5900
6160
5640
5400
5700
5760
5640
5500
5600
5220
5520
5120
4980
5220
5240
5120
4820
5040
5020
5360
5040
4920
4680
4640
4580
4220
4240
4220
4000
3940
4000
4180
3900
3980
3660
3920
4300
4220
4260
4320
4580
4440
4480
4460
4560




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=299361&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=299361&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=299361&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
12940NANA-89.0828NA
22780NANA-27.9716NA
33180NANA-26.1892NA
42780NANA-43.6892NA
52720NANA21.9358NA
62920NANA3.28993NA
730803226.753183.3343.4172-146.751
833003230.643266.67-36.027269.3605
932203350.453360.83-10.3791-130.454
1034603446.013463.33-17.323513.9902
1137603715.553615.8399.713544.4531
1237603855.643773.3382.3061-95.6395
1335403838.423927.5-89.0828-298.417
1441804034.534062.5-27.9716145.472
1540404160.484186.67-26.1892-120.477
1643804278.814322.5-43.6892101.189
1747804481.14459.1721.9358298.898
1846404584.124580.833.2899355.8767
1950604732.584689.1743.4172327.416
2045604740.644776.67-36.0272-180.639
2149404841.294851.67-10.379198.7124
2250004904.344921.67-17.323595.6568
2355005048.054948.3399.7135451.953
2449405043.974961.6782.3061-103.973
2549604863.424952.5-89.082896.5828
2648604907.864935.83-27.9716-47.8617
2751604911.314937.5-26.1892248.689
2849404891.314935-43.689248.6892
2948604926.94490521.9358-66.9358
3048804899.124895.833.28993-19.1233
3146004945.924902.543.4172-345.917
3246204821.474857.5-36.0272-201.473
3349204780.454790.83-10.3791139.546
3449604721.014738.33-17.3235238.99
3548204800.554700.8399.713519.4531
3654004757.31467582.3061642.694
3746604575.084664.17-89.082884.9161
3840804630.364658.33-27.9716-550.362
3943404615.484641.67-26.1892-275.477
4045004568.814612.5-43.6892-68.8108
4144004611.94459021.9358-211.936
4247204565.794562.53.28993154.21
4345004580.084536.6743.4172-80.0839
4445804525.644561.67-36.027254.3605
4545604607.954618.33-10.3791-47.9543
4646204644.344661.67-17.3235-24.3432
4746204805.554705.8399.7135-185.547
4849404822.31474082.3061117.694
4945004679.254768.33-89.0828-179.251
5048404792.034820-27.971647.9716
5149404852.144878.33-26.189287.8559
5249404874.644918.33-43.689265.3559
5350204993.64971.6721.935826.3976
5449205028.2950253.28993-108.29
5549805109.255065.8343.4172-129.251
5653405103.975140-36.0272236.027
5752005217.955228.33-10.3791-17.9543
5849405287.685305-17.3235-347.677
5955805472.215372.599.7135107.786
6052605518.145435.8382.3061-258.139
6151605412.585501.67-89.0828-252.584
6259605517.035545-27.9716442.972
6359405554.645580.83-26.1892385.356
6457805610.485654.17-43.6892169.523
6558005744.445722.521.935855.5642
6656605774.965771.673.28993-114.957
6758205883.42584043.4172-63.4172
6855405832.315868.33-36.0272-292.306
6958605822.125832.5-10.379137.8791
7060405789.345806.67-17.3235250.657
7161205901.385801.6799.7135218.62
7259005881.475799.1782.306118.5272
7361605695.925785-89.0828464.083
7456405746.25774.17-27.9716-106.195
7554005723.815750-26.1892-323.811
7657005657.985701.67-43.689242.0226
7757605660.275638.3321.935899.7309
7856405561.625558.333.2899378.3767
7955005524.255480.8343.4172-24.2506
8056005388.975425-36.0272211.027
8152205386.295396.67-10.3791-166.288
8255205331.015348.33-17.3235188.99
8351205381.385281.6799.7135-261.38
8449805308.145225.8382.3061-328.139
8552205105.085194.17-89.0828114.916
8652405137.035165-27.9716102.972
8751205102.985129.17-26.189217.0226
8848205037.985081.67-43.6892-217.977
8950405048.65026.6721.9358-8.60243
9050204993.2949903.2899326.7101
9153604975.084931.6743.4172384.916
9250404812.314848.33-36.0272227.694
9349204758.794769.17-10.3791161.212
9446804680.184697.5-17.3235-0.176505
9546404717.214617.599.7135-77.2135
9645804611.474529.1782.3061-31.4728
9742204348.424437.5-89.0828-128.417
9842404312.864340.83-27.9716-72.8617
9942204227.984254.17-26.1892-7.97743
10040004128.814172.5-43.6892-128.811
10139404121.94410021.9358-181.936
10240004061.624058.333.28993-61.6233
10341804090.084046.6743.417289.9161
10439004011.474047.5-36.0272-111.473
10539804042.124052.5-10.3791-62.1209
10636604063.514080.83-17.3235-403.51
10739204225.554125.8399.7135-305.547
10843004248.974166.6782.306151.0272
10942204109.254198.33-89.0828110.749
11042604209.534237.5-27.971650.4716
1114320NANA-26.1892NA
1124580NANA-43.6892NA
1134440NANA21.9358NA
1144480NANA3.28993NA
1154460NANA43.4172NA
1164560NANA-36.0272NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 2940 & NA & NA & -89.0828 & NA \tabularnewline
2 & 2780 & NA & NA & -27.9716 & NA \tabularnewline
3 & 3180 & NA & NA & -26.1892 & NA \tabularnewline
4 & 2780 & NA & NA & -43.6892 & NA \tabularnewline
5 & 2720 & NA & NA & 21.9358 & NA \tabularnewline
6 & 2920 & NA & NA & 3.28993 & NA \tabularnewline
7 & 3080 & 3226.75 & 3183.33 & 43.4172 & -146.751 \tabularnewline
8 & 3300 & 3230.64 & 3266.67 & -36.0272 & 69.3605 \tabularnewline
9 & 3220 & 3350.45 & 3360.83 & -10.3791 & -130.454 \tabularnewline
10 & 3460 & 3446.01 & 3463.33 & -17.3235 & 13.9902 \tabularnewline
11 & 3760 & 3715.55 & 3615.83 & 99.7135 & 44.4531 \tabularnewline
12 & 3760 & 3855.64 & 3773.33 & 82.3061 & -95.6395 \tabularnewline
13 & 3540 & 3838.42 & 3927.5 & -89.0828 & -298.417 \tabularnewline
14 & 4180 & 4034.53 & 4062.5 & -27.9716 & 145.472 \tabularnewline
15 & 4040 & 4160.48 & 4186.67 & -26.1892 & -120.477 \tabularnewline
16 & 4380 & 4278.81 & 4322.5 & -43.6892 & 101.189 \tabularnewline
17 & 4780 & 4481.1 & 4459.17 & 21.9358 & 298.898 \tabularnewline
18 & 4640 & 4584.12 & 4580.83 & 3.28993 & 55.8767 \tabularnewline
19 & 5060 & 4732.58 & 4689.17 & 43.4172 & 327.416 \tabularnewline
20 & 4560 & 4740.64 & 4776.67 & -36.0272 & -180.639 \tabularnewline
21 & 4940 & 4841.29 & 4851.67 & -10.3791 & 98.7124 \tabularnewline
22 & 5000 & 4904.34 & 4921.67 & -17.3235 & 95.6568 \tabularnewline
23 & 5500 & 5048.05 & 4948.33 & 99.7135 & 451.953 \tabularnewline
24 & 4940 & 5043.97 & 4961.67 & 82.3061 & -103.973 \tabularnewline
25 & 4960 & 4863.42 & 4952.5 & -89.0828 & 96.5828 \tabularnewline
26 & 4860 & 4907.86 & 4935.83 & -27.9716 & -47.8617 \tabularnewline
27 & 5160 & 4911.31 & 4937.5 & -26.1892 & 248.689 \tabularnewline
28 & 4940 & 4891.31 & 4935 & -43.6892 & 48.6892 \tabularnewline
29 & 4860 & 4926.94 & 4905 & 21.9358 & -66.9358 \tabularnewline
30 & 4880 & 4899.12 & 4895.83 & 3.28993 & -19.1233 \tabularnewline
31 & 4600 & 4945.92 & 4902.5 & 43.4172 & -345.917 \tabularnewline
32 & 4620 & 4821.47 & 4857.5 & -36.0272 & -201.473 \tabularnewline
33 & 4920 & 4780.45 & 4790.83 & -10.3791 & 139.546 \tabularnewline
34 & 4960 & 4721.01 & 4738.33 & -17.3235 & 238.99 \tabularnewline
35 & 4820 & 4800.55 & 4700.83 & 99.7135 & 19.4531 \tabularnewline
36 & 5400 & 4757.31 & 4675 & 82.3061 & 642.694 \tabularnewline
37 & 4660 & 4575.08 & 4664.17 & -89.0828 & 84.9161 \tabularnewline
38 & 4080 & 4630.36 & 4658.33 & -27.9716 & -550.362 \tabularnewline
39 & 4340 & 4615.48 & 4641.67 & -26.1892 & -275.477 \tabularnewline
40 & 4500 & 4568.81 & 4612.5 & -43.6892 & -68.8108 \tabularnewline
41 & 4400 & 4611.94 & 4590 & 21.9358 & -211.936 \tabularnewline
42 & 4720 & 4565.79 & 4562.5 & 3.28993 & 154.21 \tabularnewline
43 & 4500 & 4580.08 & 4536.67 & 43.4172 & -80.0839 \tabularnewline
44 & 4580 & 4525.64 & 4561.67 & -36.0272 & 54.3605 \tabularnewline
45 & 4560 & 4607.95 & 4618.33 & -10.3791 & -47.9543 \tabularnewline
46 & 4620 & 4644.34 & 4661.67 & -17.3235 & -24.3432 \tabularnewline
47 & 4620 & 4805.55 & 4705.83 & 99.7135 & -185.547 \tabularnewline
48 & 4940 & 4822.31 & 4740 & 82.3061 & 117.694 \tabularnewline
49 & 4500 & 4679.25 & 4768.33 & -89.0828 & -179.251 \tabularnewline
50 & 4840 & 4792.03 & 4820 & -27.9716 & 47.9716 \tabularnewline
51 & 4940 & 4852.14 & 4878.33 & -26.1892 & 87.8559 \tabularnewline
52 & 4940 & 4874.64 & 4918.33 & -43.6892 & 65.3559 \tabularnewline
53 & 5020 & 4993.6 & 4971.67 & 21.9358 & 26.3976 \tabularnewline
54 & 4920 & 5028.29 & 5025 & 3.28993 & -108.29 \tabularnewline
55 & 4980 & 5109.25 & 5065.83 & 43.4172 & -129.251 \tabularnewline
56 & 5340 & 5103.97 & 5140 & -36.0272 & 236.027 \tabularnewline
57 & 5200 & 5217.95 & 5228.33 & -10.3791 & -17.9543 \tabularnewline
58 & 4940 & 5287.68 & 5305 & -17.3235 & -347.677 \tabularnewline
59 & 5580 & 5472.21 & 5372.5 & 99.7135 & 107.786 \tabularnewline
60 & 5260 & 5518.14 & 5435.83 & 82.3061 & -258.139 \tabularnewline
61 & 5160 & 5412.58 & 5501.67 & -89.0828 & -252.584 \tabularnewline
62 & 5960 & 5517.03 & 5545 & -27.9716 & 442.972 \tabularnewline
63 & 5940 & 5554.64 & 5580.83 & -26.1892 & 385.356 \tabularnewline
64 & 5780 & 5610.48 & 5654.17 & -43.6892 & 169.523 \tabularnewline
65 & 5800 & 5744.44 & 5722.5 & 21.9358 & 55.5642 \tabularnewline
66 & 5660 & 5774.96 & 5771.67 & 3.28993 & -114.957 \tabularnewline
67 & 5820 & 5883.42 & 5840 & 43.4172 & -63.4172 \tabularnewline
68 & 5540 & 5832.31 & 5868.33 & -36.0272 & -292.306 \tabularnewline
69 & 5860 & 5822.12 & 5832.5 & -10.3791 & 37.8791 \tabularnewline
70 & 6040 & 5789.34 & 5806.67 & -17.3235 & 250.657 \tabularnewline
71 & 6120 & 5901.38 & 5801.67 & 99.7135 & 218.62 \tabularnewline
72 & 5900 & 5881.47 & 5799.17 & 82.3061 & 18.5272 \tabularnewline
73 & 6160 & 5695.92 & 5785 & -89.0828 & 464.083 \tabularnewline
74 & 5640 & 5746.2 & 5774.17 & -27.9716 & -106.195 \tabularnewline
75 & 5400 & 5723.81 & 5750 & -26.1892 & -323.811 \tabularnewline
76 & 5700 & 5657.98 & 5701.67 & -43.6892 & 42.0226 \tabularnewline
77 & 5760 & 5660.27 & 5638.33 & 21.9358 & 99.7309 \tabularnewline
78 & 5640 & 5561.62 & 5558.33 & 3.28993 & 78.3767 \tabularnewline
79 & 5500 & 5524.25 & 5480.83 & 43.4172 & -24.2506 \tabularnewline
80 & 5600 & 5388.97 & 5425 & -36.0272 & 211.027 \tabularnewline
81 & 5220 & 5386.29 & 5396.67 & -10.3791 & -166.288 \tabularnewline
82 & 5520 & 5331.01 & 5348.33 & -17.3235 & 188.99 \tabularnewline
83 & 5120 & 5381.38 & 5281.67 & 99.7135 & -261.38 \tabularnewline
84 & 4980 & 5308.14 & 5225.83 & 82.3061 & -328.139 \tabularnewline
85 & 5220 & 5105.08 & 5194.17 & -89.0828 & 114.916 \tabularnewline
86 & 5240 & 5137.03 & 5165 & -27.9716 & 102.972 \tabularnewline
87 & 5120 & 5102.98 & 5129.17 & -26.1892 & 17.0226 \tabularnewline
88 & 4820 & 5037.98 & 5081.67 & -43.6892 & -217.977 \tabularnewline
89 & 5040 & 5048.6 & 5026.67 & 21.9358 & -8.60243 \tabularnewline
90 & 5020 & 4993.29 & 4990 & 3.28993 & 26.7101 \tabularnewline
91 & 5360 & 4975.08 & 4931.67 & 43.4172 & 384.916 \tabularnewline
92 & 5040 & 4812.31 & 4848.33 & -36.0272 & 227.694 \tabularnewline
93 & 4920 & 4758.79 & 4769.17 & -10.3791 & 161.212 \tabularnewline
94 & 4680 & 4680.18 & 4697.5 & -17.3235 & -0.176505 \tabularnewline
95 & 4640 & 4717.21 & 4617.5 & 99.7135 & -77.2135 \tabularnewline
96 & 4580 & 4611.47 & 4529.17 & 82.3061 & -31.4728 \tabularnewline
97 & 4220 & 4348.42 & 4437.5 & -89.0828 & -128.417 \tabularnewline
98 & 4240 & 4312.86 & 4340.83 & -27.9716 & -72.8617 \tabularnewline
99 & 4220 & 4227.98 & 4254.17 & -26.1892 & -7.97743 \tabularnewline
100 & 4000 & 4128.81 & 4172.5 & -43.6892 & -128.811 \tabularnewline
101 & 3940 & 4121.94 & 4100 & 21.9358 & -181.936 \tabularnewline
102 & 4000 & 4061.62 & 4058.33 & 3.28993 & -61.6233 \tabularnewline
103 & 4180 & 4090.08 & 4046.67 & 43.4172 & 89.9161 \tabularnewline
104 & 3900 & 4011.47 & 4047.5 & -36.0272 & -111.473 \tabularnewline
105 & 3980 & 4042.12 & 4052.5 & -10.3791 & -62.1209 \tabularnewline
106 & 3660 & 4063.51 & 4080.83 & -17.3235 & -403.51 \tabularnewline
107 & 3920 & 4225.55 & 4125.83 & 99.7135 & -305.547 \tabularnewline
108 & 4300 & 4248.97 & 4166.67 & 82.3061 & 51.0272 \tabularnewline
109 & 4220 & 4109.25 & 4198.33 & -89.0828 & 110.749 \tabularnewline
110 & 4260 & 4209.53 & 4237.5 & -27.9716 & 50.4716 \tabularnewline
111 & 4320 & NA & NA & -26.1892 & NA \tabularnewline
112 & 4580 & NA & NA & -43.6892 & NA \tabularnewline
113 & 4440 & NA & NA & 21.9358 & NA \tabularnewline
114 & 4480 & NA & NA & 3.28993 & NA \tabularnewline
115 & 4460 & NA & NA & 43.4172 & NA \tabularnewline
116 & 4560 & NA & NA & -36.0272 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=299361&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]2940[/C][C]NA[/C][C]NA[/C][C]-89.0828[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]2780[/C][C]NA[/C][C]NA[/C][C]-27.9716[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]3180[/C][C]NA[/C][C]NA[/C][C]-26.1892[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]2780[/C][C]NA[/C][C]NA[/C][C]-43.6892[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]2720[/C][C]NA[/C][C]NA[/C][C]21.9358[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]2920[/C][C]NA[/C][C]NA[/C][C]3.28993[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]3080[/C][C]3226.75[/C][C]3183.33[/C][C]43.4172[/C][C]-146.751[/C][/ROW]
[ROW][C]8[/C][C]3300[/C][C]3230.64[/C][C]3266.67[/C][C]-36.0272[/C][C]69.3605[/C][/ROW]
[ROW][C]9[/C][C]3220[/C][C]3350.45[/C][C]3360.83[/C][C]-10.3791[/C][C]-130.454[/C][/ROW]
[ROW][C]10[/C][C]3460[/C][C]3446.01[/C][C]3463.33[/C][C]-17.3235[/C][C]13.9902[/C][/ROW]
[ROW][C]11[/C][C]3760[/C][C]3715.55[/C][C]3615.83[/C][C]99.7135[/C][C]44.4531[/C][/ROW]
[ROW][C]12[/C][C]3760[/C][C]3855.64[/C][C]3773.33[/C][C]82.3061[/C][C]-95.6395[/C][/ROW]
[ROW][C]13[/C][C]3540[/C][C]3838.42[/C][C]3927.5[/C][C]-89.0828[/C][C]-298.417[/C][/ROW]
[ROW][C]14[/C][C]4180[/C][C]4034.53[/C][C]4062.5[/C][C]-27.9716[/C][C]145.472[/C][/ROW]
[ROW][C]15[/C][C]4040[/C][C]4160.48[/C][C]4186.67[/C][C]-26.1892[/C][C]-120.477[/C][/ROW]
[ROW][C]16[/C][C]4380[/C][C]4278.81[/C][C]4322.5[/C][C]-43.6892[/C][C]101.189[/C][/ROW]
[ROW][C]17[/C][C]4780[/C][C]4481.1[/C][C]4459.17[/C][C]21.9358[/C][C]298.898[/C][/ROW]
[ROW][C]18[/C][C]4640[/C][C]4584.12[/C][C]4580.83[/C][C]3.28993[/C][C]55.8767[/C][/ROW]
[ROW][C]19[/C][C]5060[/C][C]4732.58[/C][C]4689.17[/C][C]43.4172[/C][C]327.416[/C][/ROW]
[ROW][C]20[/C][C]4560[/C][C]4740.64[/C][C]4776.67[/C][C]-36.0272[/C][C]-180.639[/C][/ROW]
[ROW][C]21[/C][C]4940[/C][C]4841.29[/C][C]4851.67[/C][C]-10.3791[/C][C]98.7124[/C][/ROW]
[ROW][C]22[/C][C]5000[/C][C]4904.34[/C][C]4921.67[/C][C]-17.3235[/C][C]95.6568[/C][/ROW]
[ROW][C]23[/C][C]5500[/C][C]5048.05[/C][C]4948.33[/C][C]99.7135[/C][C]451.953[/C][/ROW]
[ROW][C]24[/C][C]4940[/C][C]5043.97[/C][C]4961.67[/C][C]82.3061[/C][C]-103.973[/C][/ROW]
[ROW][C]25[/C][C]4960[/C][C]4863.42[/C][C]4952.5[/C][C]-89.0828[/C][C]96.5828[/C][/ROW]
[ROW][C]26[/C][C]4860[/C][C]4907.86[/C][C]4935.83[/C][C]-27.9716[/C][C]-47.8617[/C][/ROW]
[ROW][C]27[/C][C]5160[/C][C]4911.31[/C][C]4937.5[/C][C]-26.1892[/C][C]248.689[/C][/ROW]
[ROW][C]28[/C][C]4940[/C][C]4891.31[/C][C]4935[/C][C]-43.6892[/C][C]48.6892[/C][/ROW]
[ROW][C]29[/C][C]4860[/C][C]4926.94[/C][C]4905[/C][C]21.9358[/C][C]-66.9358[/C][/ROW]
[ROW][C]30[/C][C]4880[/C][C]4899.12[/C][C]4895.83[/C][C]3.28993[/C][C]-19.1233[/C][/ROW]
[ROW][C]31[/C][C]4600[/C][C]4945.92[/C][C]4902.5[/C][C]43.4172[/C][C]-345.917[/C][/ROW]
[ROW][C]32[/C][C]4620[/C][C]4821.47[/C][C]4857.5[/C][C]-36.0272[/C][C]-201.473[/C][/ROW]
[ROW][C]33[/C][C]4920[/C][C]4780.45[/C][C]4790.83[/C][C]-10.3791[/C][C]139.546[/C][/ROW]
[ROW][C]34[/C][C]4960[/C][C]4721.01[/C][C]4738.33[/C][C]-17.3235[/C][C]238.99[/C][/ROW]
[ROW][C]35[/C][C]4820[/C][C]4800.55[/C][C]4700.83[/C][C]99.7135[/C][C]19.4531[/C][/ROW]
[ROW][C]36[/C][C]5400[/C][C]4757.31[/C][C]4675[/C][C]82.3061[/C][C]642.694[/C][/ROW]
[ROW][C]37[/C][C]4660[/C][C]4575.08[/C][C]4664.17[/C][C]-89.0828[/C][C]84.9161[/C][/ROW]
[ROW][C]38[/C][C]4080[/C][C]4630.36[/C][C]4658.33[/C][C]-27.9716[/C][C]-550.362[/C][/ROW]
[ROW][C]39[/C][C]4340[/C][C]4615.48[/C][C]4641.67[/C][C]-26.1892[/C][C]-275.477[/C][/ROW]
[ROW][C]40[/C][C]4500[/C][C]4568.81[/C][C]4612.5[/C][C]-43.6892[/C][C]-68.8108[/C][/ROW]
[ROW][C]41[/C][C]4400[/C][C]4611.94[/C][C]4590[/C][C]21.9358[/C][C]-211.936[/C][/ROW]
[ROW][C]42[/C][C]4720[/C][C]4565.79[/C][C]4562.5[/C][C]3.28993[/C][C]154.21[/C][/ROW]
[ROW][C]43[/C][C]4500[/C][C]4580.08[/C][C]4536.67[/C][C]43.4172[/C][C]-80.0839[/C][/ROW]
[ROW][C]44[/C][C]4580[/C][C]4525.64[/C][C]4561.67[/C][C]-36.0272[/C][C]54.3605[/C][/ROW]
[ROW][C]45[/C][C]4560[/C][C]4607.95[/C][C]4618.33[/C][C]-10.3791[/C][C]-47.9543[/C][/ROW]
[ROW][C]46[/C][C]4620[/C][C]4644.34[/C][C]4661.67[/C][C]-17.3235[/C][C]-24.3432[/C][/ROW]
[ROW][C]47[/C][C]4620[/C][C]4805.55[/C][C]4705.83[/C][C]99.7135[/C][C]-185.547[/C][/ROW]
[ROW][C]48[/C][C]4940[/C][C]4822.31[/C][C]4740[/C][C]82.3061[/C][C]117.694[/C][/ROW]
[ROW][C]49[/C][C]4500[/C][C]4679.25[/C][C]4768.33[/C][C]-89.0828[/C][C]-179.251[/C][/ROW]
[ROW][C]50[/C][C]4840[/C][C]4792.03[/C][C]4820[/C][C]-27.9716[/C][C]47.9716[/C][/ROW]
[ROW][C]51[/C][C]4940[/C][C]4852.14[/C][C]4878.33[/C][C]-26.1892[/C][C]87.8559[/C][/ROW]
[ROW][C]52[/C][C]4940[/C][C]4874.64[/C][C]4918.33[/C][C]-43.6892[/C][C]65.3559[/C][/ROW]
[ROW][C]53[/C][C]5020[/C][C]4993.6[/C][C]4971.67[/C][C]21.9358[/C][C]26.3976[/C][/ROW]
[ROW][C]54[/C][C]4920[/C][C]5028.29[/C][C]5025[/C][C]3.28993[/C][C]-108.29[/C][/ROW]
[ROW][C]55[/C][C]4980[/C][C]5109.25[/C][C]5065.83[/C][C]43.4172[/C][C]-129.251[/C][/ROW]
[ROW][C]56[/C][C]5340[/C][C]5103.97[/C][C]5140[/C][C]-36.0272[/C][C]236.027[/C][/ROW]
[ROW][C]57[/C][C]5200[/C][C]5217.95[/C][C]5228.33[/C][C]-10.3791[/C][C]-17.9543[/C][/ROW]
[ROW][C]58[/C][C]4940[/C][C]5287.68[/C][C]5305[/C][C]-17.3235[/C][C]-347.677[/C][/ROW]
[ROW][C]59[/C][C]5580[/C][C]5472.21[/C][C]5372.5[/C][C]99.7135[/C][C]107.786[/C][/ROW]
[ROW][C]60[/C][C]5260[/C][C]5518.14[/C][C]5435.83[/C][C]82.3061[/C][C]-258.139[/C][/ROW]
[ROW][C]61[/C][C]5160[/C][C]5412.58[/C][C]5501.67[/C][C]-89.0828[/C][C]-252.584[/C][/ROW]
[ROW][C]62[/C][C]5960[/C][C]5517.03[/C][C]5545[/C][C]-27.9716[/C][C]442.972[/C][/ROW]
[ROW][C]63[/C][C]5940[/C][C]5554.64[/C][C]5580.83[/C][C]-26.1892[/C][C]385.356[/C][/ROW]
[ROW][C]64[/C][C]5780[/C][C]5610.48[/C][C]5654.17[/C][C]-43.6892[/C][C]169.523[/C][/ROW]
[ROW][C]65[/C][C]5800[/C][C]5744.44[/C][C]5722.5[/C][C]21.9358[/C][C]55.5642[/C][/ROW]
[ROW][C]66[/C][C]5660[/C][C]5774.96[/C][C]5771.67[/C][C]3.28993[/C][C]-114.957[/C][/ROW]
[ROW][C]67[/C][C]5820[/C][C]5883.42[/C][C]5840[/C][C]43.4172[/C][C]-63.4172[/C][/ROW]
[ROW][C]68[/C][C]5540[/C][C]5832.31[/C][C]5868.33[/C][C]-36.0272[/C][C]-292.306[/C][/ROW]
[ROW][C]69[/C][C]5860[/C][C]5822.12[/C][C]5832.5[/C][C]-10.3791[/C][C]37.8791[/C][/ROW]
[ROW][C]70[/C][C]6040[/C][C]5789.34[/C][C]5806.67[/C][C]-17.3235[/C][C]250.657[/C][/ROW]
[ROW][C]71[/C][C]6120[/C][C]5901.38[/C][C]5801.67[/C][C]99.7135[/C][C]218.62[/C][/ROW]
[ROW][C]72[/C][C]5900[/C][C]5881.47[/C][C]5799.17[/C][C]82.3061[/C][C]18.5272[/C][/ROW]
[ROW][C]73[/C][C]6160[/C][C]5695.92[/C][C]5785[/C][C]-89.0828[/C][C]464.083[/C][/ROW]
[ROW][C]74[/C][C]5640[/C][C]5746.2[/C][C]5774.17[/C][C]-27.9716[/C][C]-106.195[/C][/ROW]
[ROW][C]75[/C][C]5400[/C][C]5723.81[/C][C]5750[/C][C]-26.1892[/C][C]-323.811[/C][/ROW]
[ROW][C]76[/C][C]5700[/C][C]5657.98[/C][C]5701.67[/C][C]-43.6892[/C][C]42.0226[/C][/ROW]
[ROW][C]77[/C][C]5760[/C][C]5660.27[/C][C]5638.33[/C][C]21.9358[/C][C]99.7309[/C][/ROW]
[ROW][C]78[/C][C]5640[/C][C]5561.62[/C][C]5558.33[/C][C]3.28993[/C][C]78.3767[/C][/ROW]
[ROW][C]79[/C][C]5500[/C][C]5524.25[/C][C]5480.83[/C][C]43.4172[/C][C]-24.2506[/C][/ROW]
[ROW][C]80[/C][C]5600[/C][C]5388.97[/C][C]5425[/C][C]-36.0272[/C][C]211.027[/C][/ROW]
[ROW][C]81[/C][C]5220[/C][C]5386.29[/C][C]5396.67[/C][C]-10.3791[/C][C]-166.288[/C][/ROW]
[ROW][C]82[/C][C]5520[/C][C]5331.01[/C][C]5348.33[/C][C]-17.3235[/C][C]188.99[/C][/ROW]
[ROW][C]83[/C][C]5120[/C][C]5381.38[/C][C]5281.67[/C][C]99.7135[/C][C]-261.38[/C][/ROW]
[ROW][C]84[/C][C]4980[/C][C]5308.14[/C][C]5225.83[/C][C]82.3061[/C][C]-328.139[/C][/ROW]
[ROW][C]85[/C][C]5220[/C][C]5105.08[/C][C]5194.17[/C][C]-89.0828[/C][C]114.916[/C][/ROW]
[ROW][C]86[/C][C]5240[/C][C]5137.03[/C][C]5165[/C][C]-27.9716[/C][C]102.972[/C][/ROW]
[ROW][C]87[/C][C]5120[/C][C]5102.98[/C][C]5129.17[/C][C]-26.1892[/C][C]17.0226[/C][/ROW]
[ROW][C]88[/C][C]4820[/C][C]5037.98[/C][C]5081.67[/C][C]-43.6892[/C][C]-217.977[/C][/ROW]
[ROW][C]89[/C][C]5040[/C][C]5048.6[/C][C]5026.67[/C][C]21.9358[/C][C]-8.60243[/C][/ROW]
[ROW][C]90[/C][C]5020[/C][C]4993.29[/C][C]4990[/C][C]3.28993[/C][C]26.7101[/C][/ROW]
[ROW][C]91[/C][C]5360[/C][C]4975.08[/C][C]4931.67[/C][C]43.4172[/C][C]384.916[/C][/ROW]
[ROW][C]92[/C][C]5040[/C][C]4812.31[/C][C]4848.33[/C][C]-36.0272[/C][C]227.694[/C][/ROW]
[ROW][C]93[/C][C]4920[/C][C]4758.79[/C][C]4769.17[/C][C]-10.3791[/C][C]161.212[/C][/ROW]
[ROW][C]94[/C][C]4680[/C][C]4680.18[/C][C]4697.5[/C][C]-17.3235[/C][C]-0.176505[/C][/ROW]
[ROW][C]95[/C][C]4640[/C][C]4717.21[/C][C]4617.5[/C][C]99.7135[/C][C]-77.2135[/C][/ROW]
[ROW][C]96[/C][C]4580[/C][C]4611.47[/C][C]4529.17[/C][C]82.3061[/C][C]-31.4728[/C][/ROW]
[ROW][C]97[/C][C]4220[/C][C]4348.42[/C][C]4437.5[/C][C]-89.0828[/C][C]-128.417[/C][/ROW]
[ROW][C]98[/C][C]4240[/C][C]4312.86[/C][C]4340.83[/C][C]-27.9716[/C][C]-72.8617[/C][/ROW]
[ROW][C]99[/C][C]4220[/C][C]4227.98[/C][C]4254.17[/C][C]-26.1892[/C][C]-7.97743[/C][/ROW]
[ROW][C]100[/C][C]4000[/C][C]4128.81[/C][C]4172.5[/C][C]-43.6892[/C][C]-128.811[/C][/ROW]
[ROW][C]101[/C][C]3940[/C][C]4121.94[/C][C]4100[/C][C]21.9358[/C][C]-181.936[/C][/ROW]
[ROW][C]102[/C][C]4000[/C][C]4061.62[/C][C]4058.33[/C][C]3.28993[/C][C]-61.6233[/C][/ROW]
[ROW][C]103[/C][C]4180[/C][C]4090.08[/C][C]4046.67[/C][C]43.4172[/C][C]89.9161[/C][/ROW]
[ROW][C]104[/C][C]3900[/C][C]4011.47[/C][C]4047.5[/C][C]-36.0272[/C][C]-111.473[/C][/ROW]
[ROW][C]105[/C][C]3980[/C][C]4042.12[/C][C]4052.5[/C][C]-10.3791[/C][C]-62.1209[/C][/ROW]
[ROW][C]106[/C][C]3660[/C][C]4063.51[/C][C]4080.83[/C][C]-17.3235[/C][C]-403.51[/C][/ROW]
[ROW][C]107[/C][C]3920[/C][C]4225.55[/C][C]4125.83[/C][C]99.7135[/C][C]-305.547[/C][/ROW]
[ROW][C]108[/C][C]4300[/C][C]4248.97[/C][C]4166.67[/C][C]82.3061[/C][C]51.0272[/C][/ROW]
[ROW][C]109[/C][C]4220[/C][C]4109.25[/C][C]4198.33[/C][C]-89.0828[/C][C]110.749[/C][/ROW]
[ROW][C]110[/C][C]4260[/C][C]4209.53[/C][C]4237.5[/C][C]-27.9716[/C][C]50.4716[/C][/ROW]
[ROW][C]111[/C][C]4320[/C][C]NA[/C][C]NA[/C][C]-26.1892[/C][C]NA[/C][/ROW]
[ROW][C]112[/C][C]4580[/C][C]NA[/C][C]NA[/C][C]-43.6892[/C][C]NA[/C][/ROW]
[ROW][C]113[/C][C]4440[/C][C]NA[/C][C]NA[/C][C]21.9358[/C][C]NA[/C][/ROW]
[ROW][C]114[/C][C]4480[/C][C]NA[/C][C]NA[/C][C]3.28993[/C][C]NA[/C][/ROW]
[ROW][C]115[/C][C]4460[/C][C]NA[/C][C]NA[/C][C]43.4172[/C][C]NA[/C][/ROW]
[ROW][C]116[/C][C]4560[/C][C]NA[/C][C]NA[/C][C]-36.0272[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=299361&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=299361&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
12940NANA-89.0828NA
22780NANA-27.9716NA
33180NANA-26.1892NA
42780NANA-43.6892NA
52720NANA21.9358NA
62920NANA3.28993NA
730803226.753183.3343.4172-146.751
833003230.643266.67-36.027269.3605
932203350.453360.83-10.3791-130.454
1034603446.013463.33-17.323513.9902
1137603715.553615.8399.713544.4531
1237603855.643773.3382.3061-95.6395
1335403838.423927.5-89.0828-298.417
1441804034.534062.5-27.9716145.472
1540404160.484186.67-26.1892-120.477
1643804278.814322.5-43.6892101.189
1747804481.14459.1721.9358298.898
1846404584.124580.833.2899355.8767
1950604732.584689.1743.4172327.416
2045604740.644776.67-36.0272-180.639
2149404841.294851.67-10.379198.7124
2250004904.344921.67-17.323595.6568
2355005048.054948.3399.7135451.953
2449405043.974961.6782.3061-103.973
2549604863.424952.5-89.082896.5828
2648604907.864935.83-27.9716-47.8617
2751604911.314937.5-26.1892248.689
2849404891.314935-43.689248.6892
2948604926.94490521.9358-66.9358
3048804899.124895.833.28993-19.1233
3146004945.924902.543.4172-345.917
3246204821.474857.5-36.0272-201.473
3349204780.454790.83-10.3791139.546
3449604721.014738.33-17.3235238.99
3548204800.554700.8399.713519.4531
3654004757.31467582.3061642.694
3746604575.084664.17-89.082884.9161
3840804630.364658.33-27.9716-550.362
3943404615.484641.67-26.1892-275.477
4045004568.814612.5-43.6892-68.8108
4144004611.94459021.9358-211.936
4247204565.794562.53.28993154.21
4345004580.084536.6743.4172-80.0839
4445804525.644561.67-36.027254.3605
4545604607.954618.33-10.3791-47.9543
4646204644.344661.67-17.3235-24.3432
4746204805.554705.8399.7135-185.547
4849404822.31474082.3061117.694
4945004679.254768.33-89.0828-179.251
5048404792.034820-27.971647.9716
5149404852.144878.33-26.189287.8559
5249404874.644918.33-43.689265.3559
5350204993.64971.6721.935826.3976
5449205028.2950253.28993-108.29
5549805109.255065.8343.4172-129.251
5653405103.975140-36.0272236.027
5752005217.955228.33-10.3791-17.9543
5849405287.685305-17.3235-347.677
5955805472.215372.599.7135107.786
6052605518.145435.8382.3061-258.139
6151605412.585501.67-89.0828-252.584
6259605517.035545-27.9716442.972
6359405554.645580.83-26.1892385.356
6457805610.485654.17-43.6892169.523
6558005744.445722.521.935855.5642
6656605774.965771.673.28993-114.957
6758205883.42584043.4172-63.4172
6855405832.315868.33-36.0272-292.306
6958605822.125832.5-10.379137.8791
7060405789.345806.67-17.3235250.657
7161205901.385801.6799.7135218.62
7259005881.475799.1782.306118.5272
7361605695.925785-89.0828464.083
7456405746.25774.17-27.9716-106.195
7554005723.815750-26.1892-323.811
7657005657.985701.67-43.689242.0226
7757605660.275638.3321.935899.7309
7856405561.625558.333.2899378.3767
7955005524.255480.8343.4172-24.2506
8056005388.975425-36.0272211.027
8152205386.295396.67-10.3791-166.288
8255205331.015348.33-17.3235188.99
8351205381.385281.6799.7135-261.38
8449805308.145225.8382.3061-328.139
8552205105.085194.17-89.0828114.916
8652405137.035165-27.9716102.972
8751205102.985129.17-26.189217.0226
8848205037.985081.67-43.6892-217.977
8950405048.65026.6721.9358-8.60243
9050204993.2949903.2899326.7101
9153604975.084931.6743.4172384.916
9250404812.314848.33-36.0272227.694
9349204758.794769.17-10.3791161.212
9446804680.184697.5-17.3235-0.176505
9546404717.214617.599.7135-77.2135
9645804611.474529.1782.3061-31.4728
9742204348.424437.5-89.0828-128.417
9842404312.864340.83-27.9716-72.8617
9942204227.984254.17-26.1892-7.97743
10040004128.814172.5-43.6892-128.811
10139404121.94410021.9358-181.936
10240004061.624058.333.28993-61.6233
10341804090.084046.6743.417289.9161
10439004011.474047.5-36.0272-111.473
10539804042.124052.5-10.3791-62.1209
10636604063.514080.83-17.3235-403.51
10739204225.554125.8399.7135-305.547
10843004248.974166.6782.306151.0272
10942204109.254198.33-89.0828110.749
11042604209.534237.5-27.971650.4716
1114320NANA-26.1892NA
1124580NANA-43.6892NA
1134440NANA21.9358NA
1144480NANA3.28993NA
1154460NANA43.4172NA
1164560NANA-36.0272NA



Parameters (Session):
par1 = additive ; par2 = 12 ;
Parameters (R input):
par1 = additive ; par2 = 12 ;
R code (references can be found in the software module):
par2 <- '12'
par1 <- 'additive'
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')