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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, 07 Dec 2016 10:57:53 +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/07/t14811056743tp2bycbdh0b041.htm/, Retrieved Tue, 07 May 2024 14:39:10 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=297954, Retrieved Tue, 07 May 2024 14:39:10 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact106
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [Classical Decompo...] [2016-12-07 09:57:53] [aed32bb2e1132335210cb15bafce0db8] [Current]
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Dataseries X:
1418.7
1344.1
1574.6
1621.6
1887.2
2055.3
1606.8
1494.8
1636
1485.7
1369.7
1333.8
1614.9
1297.3
1226.2
1098.5
1258.5
1065.2
1000.4
1820.2
1224.8
1428.4
1144
1166.9
1902.3
1949.4
1784.5
1671.5
1923.8
1882.8
2165
1826.9
1511.2
2063.1
2169.6
2495.3
2936.9
3076.9
3365.7
3846
3436.2
3561.1
3328
2762.9
2923
2731.1
2571.5
3282.4
4606.5
4698.7
5093.3
4477.3
3850.1
4275.2
3975
4495.9
4042.4
5221.3
2555
2694.6
2757.7
2760.9
3872.9
2888.7
2529.2
3458.3
2882.8
2958.5
2652.4
2869.8
2501.7
2576.1
3347.5
3036.1
3345.2
3223.2
4087
4157.2
3368
3957.5
3469
4501.6
3181.4
3464.5
4186.9
3064.7
4011.7
3537.1
4879.5
4488.7
4632.9
4405.8
2615.2
3338
2825.2
3012.7
4537.5
5676.7
5575.4
6643.4
5590.6
4697.6
5078.1
5769.9
5561.4
7268.8
6496.7
6489.3
10883.5
7998.6
7340
7814.4
5729.6
6463.5
6315.4
5357.1




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time3 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 time3 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=297954&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]3 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=297954&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=297954&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 time3 seconds
R ServerBig Analytics Cloud Computing Center







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
11418.7NANA579.642NA
21344.1NANA182.806NA
31574.6NANA379.44NA
41621.6NANA217.725NA
51887.2NANA182.051NA
62055.3NANA132.397NA
71606.81500.451577.2-76.751106.351
81494.81593.761583.4210.3338-98.9588
916361091.241566.96-475.721544.763
101485.71585.381530.6554.7389-99.6847
111369.7813.9341482.65-668.72555.766
121333.8897.2641415.2-517.94436.536
131614.91928.321348.68579.642-313.425
141297.31519.781336.98182.806-222.481
151226.21712.841333.4379.44-486.64
161098.51531.61313.88217.725-433.104
171258.51484.141302.09182.051-225.639
181065.21418.131285.73132.397-352.926
191000.412141290.75-76.751-213.599
201820.21340.231329.910.3338479.97
211224.8904.6081380.33-475.721320.192
221428.41482.211427.4754.7389-53.8055
231144810.3421479.06-668.72333.658
241166.91022.911540.85-517.94143.99
251902.32203.081623.44579.642-300.783
261949.41855.051672.25182.80694.3482
271784.52063.91684.46379.44-279.398
281671.51940.561722.84217.725-269.062
291923.81974.071792.02182.051-50.2679
301882.82022.51890.1132.397-139.697
3121651911.811988.56-76.751253.193
321826.92088.982078.6510.3338-262.08
331511.21715.792191.51-475.721-204.587
342063.12402.73234854.7389-339.635
352169.61832.92501.62-668.72336.704
362495.32116.622634.56-517.94378.677
372936.93332.592752.95579.642-395.692
383076.93023.212840.41182.80653.6857
393365.73317.672938.23379.4448.0269
4038463242.623024.89217.725603.384
413436.23251.523069.47182.051184.678
423561.13251.413119.01132.397309.691
4333283144.623221.37-76.751183.376
442762.93368.853358.5210.3338-605.95
4529233022.353498.08-475.721-99.3537
462731.13651.13596.3654.7389-920.001
472571.52971.193639.91-668.72-399.692
483282.43168.973686.91-517.94113.427
494606.54323.273743.62579.642283.233
504698.74025.63842.79182.806673.102
515093.34341.083961.64379.44752.219
524477.34329.774112.04217.725147.534
533850.14397.164215.11182.051-547.064
544275.24322.334189.93132.397-47.1299
5539754011.664088.41-76.751-36.6574
564495.93940.973930.6310.3338554.933
574042.43323.323799.04-475.721719.08
585221.33736.74368254.73891484.56
5925552892.053560.77-668.72-337.05
602694.62953.763471.7-517.94-259.156
612757.73971.793392.15579.642-1214.09
622760.93465.393282.58182.806-704.489
633872.93540.053160.61379.44332.852
642888.73222.443004.71217.725-333.737
652529.23086.562904.51182.051-557.364
663458.33029.752897.35132.397428.549
672882.82840.242916.99-76.75142.5593
682958.52963.372953.0310.3338-4.8671
692652.42466.792942.51-475.721185.609
702869.82989.22934.4654.7389-119.401
712501.72344.593013.31-668.72157.112
722576.12589.43107.34-517.94-13.2977
733347.53736.323156.68579.642-388.817
743036.13401.323218.52182.806-365.223
753345.23673.613294.17379.44-328.406
763223.23613.913396.18217.725-390.708
7740873674.553492.5182.051412.453
784157.23690.233557.83132.397466.97
7933683553.073629.82-76.751-185.074
803957.53676.333665.9910.3338281.175
8134693219.233694.95-475.721249.767
824501.63790.543735.854.7389711.057
833181.43113.183781.9-668.7268.2162
843464.53310.83828.74-517.94153.702
854186.94474.93895.25579.642-287.996
863064.74149.443966.64182.806-1084.74
874011.74329.183949.74379.44-317.481
883537.14083.413865.68217.725-546.308
894879.53984.413802.36182.051895.09
904488.73901.093768.69132.397587.612
914632.93687.723764.47-76.751945.176
924405.83898.253887.9210.3338507.55
932615.23586.184061.9-475.721-970.983
9433384311.234256.4954.7389-973.226
952825.23746.834415.55-668.72-921.625
963012.73935.944453.88-517.94-923.239
974537.55060.774481.13579.642-523.275
985676.74739.334556.52182.806937.373
995575.45115.564736.12379.44459.844
1006643.45240.385022.66217.7251403.02
1015590.65521.475339.42182.05169.1279
1024697.65769.655637.26132.397-1072.05
1035078.15969.786046.53-76.751-891.682
1045769.96418.036407.710.3338-648.13
1055561.46102.256577.97-475.721-540.845
1067268.86755.026700.2854.7389513.778
1076496.76086.156754.87-668.72410.554
1086489.36316.36834.24-517.94173.002
10910883.57539.016959.37579.6423344.49
1107998.67176.536993.72182.806822.069
1117340NANA379.44NA
1127814.4NANA217.725NA
1135729.6NANA182.051NA
1146463.5NANA132.397NA
1156315.4NANA-76.751NA
1165357.1NANA10.3338NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 1418.7 & NA & NA & 579.642 & NA \tabularnewline
2 & 1344.1 & NA & NA & 182.806 & NA \tabularnewline
3 & 1574.6 & NA & NA & 379.44 & NA \tabularnewline
4 & 1621.6 & NA & NA & 217.725 & NA \tabularnewline
5 & 1887.2 & NA & NA & 182.051 & NA \tabularnewline
6 & 2055.3 & NA & NA & 132.397 & NA \tabularnewline
7 & 1606.8 & 1500.45 & 1577.2 & -76.751 & 106.351 \tabularnewline
8 & 1494.8 & 1593.76 & 1583.42 & 10.3338 & -98.9588 \tabularnewline
9 & 1636 & 1091.24 & 1566.96 & -475.721 & 544.763 \tabularnewline
10 & 1485.7 & 1585.38 & 1530.65 & 54.7389 & -99.6847 \tabularnewline
11 & 1369.7 & 813.934 & 1482.65 & -668.72 & 555.766 \tabularnewline
12 & 1333.8 & 897.264 & 1415.2 & -517.94 & 436.536 \tabularnewline
13 & 1614.9 & 1928.32 & 1348.68 & 579.642 & -313.425 \tabularnewline
14 & 1297.3 & 1519.78 & 1336.98 & 182.806 & -222.481 \tabularnewline
15 & 1226.2 & 1712.84 & 1333.4 & 379.44 & -486.64 \tabularnewline
16 & 1098.5 & 1531.6 & 1313.88 & 217.725 & -433.104 \tabularnewline
17 & 1258.5 & 1484.14 & 1302.09 & 182.051 & -225.639 \tabularnewline
18 & 1065.2 & 1418.13 & 1285.73 & 132.397 & -352.926 \tabularnewline
19 & 1000.4 & 1214 & 1290.75 & -76.751 & -213.599 \tabularnewline
20 & 1820.2 & 1340.23 & 1329.9 & 10.3338 & 479.97 \tabularnewline
21 & 1224.8 & 904.608 & 1380.33 & -475.721 & 320.192 \tabularnewline
22 & 1428.4 & 1482.21 & 1427.47 & 54.7389 & -53.8055 \tabularnewline
23 & 1144 & 810.342 & 1479.06 & -668.72 & 333.658 \tabularnewline
24 & 1166.9 & 1022.91 & 1540.85 & -517.94 & 143.99 \tabularnewline
25 & 1902.3 & 2203.08 & 1623.44 & 579.642 & -300.783 \tabularnewline
26 & 1949.4 & 1855.05 & 1672.25 & 182.806 & 94.3482 \tabularnewline
27 & 1784.5 & 2063.9 & 1684.46 & 379.44 & -279.398 \tabularnewline
28 & 1671.5 & 1940.56 & 1722.84 & 217.725 & -269.062 \tabularnewline
29 & 1923.8 & 1974.07 & 1792.02 & 182.051 & -50.2679 \tabularnewline
30 & 1882.8 & 2022.5 & 1890.1 & 132.397 & -139.697 \tabularnewline
31 & 2165 & 1911.81 & 1988.56 & -76.751 & 253.193 \tabularnewline
32 & 1826.9 & 2088.98 & 2078.65 & 10.3338 & -262.08 \tabularnewline
33 & 1511.2 & 1715.79 & 2191.51 & -475.721 & -204.587 \tabularnewline
34 & 2063.1 & 2402.73 & 2348 & 54.7389 & -339.635 \tabularnewline
35 & 2169.6 & 1832.9 & 2501.62 & -668.72 & 336.704 \tabularnewline
36 & 2495.3 & 2116.62 & 2634.56 & -517.94 & 378.677 \tabularnewline
37 & 2936.9 & 3332.59 & 2752.95 & 579.642 & -395.692 \tabularnewline
38 & 3076.9 & 3023.21 & 2840.41 & 182.806 & 53.6857 \tabularnewline
39 & 3365.7 & 3317.67 & 2938.23 & 379.44 & 48.0269 \tabularnewline
40 & 3846 & 3242.62 & 3024.89 & 217.725 & 603.384 \tabularnewline
41 & 3436.2 & 3251.52 & 3069.47 & 182.051 & 184.678 \tabularnewline
42 & 3561.1 & 3251.41 & 3119.01 & 132.397 & 309.691 \tabularnewline
43 & 3328 & 3144.62 & 3221.37 & -76.751 & 183.376 \tabularnewline
44 & 2762.9 & 3368.85 & 3358.52 & 10.3338 & -605.95 \tabularnewline
45 & 2923 & 3022.35 & 3498.08 & -475.721 & -99.3537 \tabularnewline
46 & 2731.1 & 3651.1 & 3596.36 & 54.7389 & -920.001 \tabularnewline
47 & 2571.5 & 2971.19 & 3639.91 & -668.72 & -399.692 \tabularnewline
48 & 3282.4 & 3168.97 & 3686.91 & -517.94 & 113.427 \tabularnewline
49 & 4606.5 & 4323.27 & 3743.62 & 579.642 & 283.233 \tabularnewline
50 & 4698.7 & 4025.6 & 3842.79 & 182.806 & 673.102 \tabularnewline
51 & 5093.3 & 4341.08 & 3961.64 & 379.44 & 752.219 \tabularnewline
52 & 4477.3 & 4329.77 & 4112.04 & 217.725 & 147.534 \tabularnewline
53 & 3850.1 & 4397.16 & 4215.11 & 182.051 & -547.064 \tabularnewline
54 & 4275.2 & 4322.33 & 4189.93 & 132.397 & -47.1299 \tabularnewline
55 & 3975 & 4011.66 & 4088.41 & -76.751 & -36.6574 \tabularnewline
56 & 4495.9 & 3940.97 & 3930.63 & 10.3338 & 554.933 \tabularnewline
57 & 4042.4 & 3323.32 & 3799.04 & -475.721 & 719.08 \tabularnewline
58 & 5221.3 & 3736.74 & 3682 & 54.7389 & 1484.56 \tabularnewline
59 & 2555 & 2892.05 & 3560.77 & -668.72 & -337.05 \tabularnewline
60 & 2694.6 & 2953.76 & 3471.7 & -517.94 & -259.156 \tabularnewline
61 & 2757.7 & 3971.79 & 3392.15 & 579.642 & -1214.09 \tabularnewline
62 & 2760.9 & 3465.39 & 3282.58 & 182.806 & -704.489 \tabularnewline
63 & 3872.9 & 3540.05 & 3160.61 & 379.44 & 332.852 \tabularnewline
64 & 2888.7 & 3222.44 & 3004.71 & 217.725 & -333.737 \tabularnewline
65 & 2529.2 & 3086.56 & 2904.51 & 182.051 & -557.364 \tabularnewline
66 & 3458.3 & 3029.75 & 2897.35 & 132.397 & 428.549 \tabularnewline
67 & 2882.8 & 2840.24 & 2916.99 & -76.751 & 42.5593 \tabularnewline
68 & 2958.5 & 2963.37 & 2953.03 & 10.3338 & -4.8671 \tabularnewline
69 & 2652.4 & 2466.79 & 2942.51 & -475.721 & 185.609 \tabularnewline
70 & 2869.8 & 2989.2 & 2934.46 & 54.7389 & -119.401 \tabularnewline
71 & 2501.7 & 2344.59 & 3013.31 & -668.72 & 157.112 \tabularnewline
72 & 2576.1 & 2589.4 & 3107.34 & -517.94 & -13.2977 \tabularnewline
73 & 3347.5 & 3736.32 & 3156.68 & 579.642 & -388.817 \tabularnewline
74 & 3036.1 & 3401.32 & 3218.52 & 182.806 & -365.223 \tabularnewline
75 & 3345.2 & 3673.61 & 3294.17 & 379.44 & -328.406 \tabularnewline
76 & 3223.2 & 3613.91 & 3396.18 & 217.725 & -390.708 \tabularnewline
77 & 4087 & 3674.55 & 3492.5 & 182.051 & 412.453 \tabularnewline
78 & 4157.2 & 3690.23 & 3557.83 & 132.397 & 466.97 \tabularnewline
79 & 3368 & 3553.07 & 3629.82 & -76.751 & -185.074 \tabularnewline
80 & 3957.5 & 3676.33 & 3665.99 & 10.3338 & 281.175 \tabularnewline
81 & 3469 & 3219.23 & 3694.95 & -475.721 & 249.767 \tabularnewline
82 & 4501.6 & 3790.54 & 3735.8 & 54.7389 & 711.057 \tabularnewline
83 & 3181.4 & 3113.18 & 3781.9 & -668.72 & 68.2162 \tabularnewline
84 & 3464.5 & 3310.8 & 3828.74 & -517.94 & 153.702 \tabularnewline
85 & 4186.9 & 4474.9 & 3895.25 & 579.642 & -287.996 \tabularnewline
86 & 3064.7 & 4149.44 & 3966.64 & 182.806 & -1084.74 \tabularnewline
87 & 4011.7 & 4329.18 & 3949.74 & 379.44 & -317.481 \tabularnewline
88 & 3537.1 & 4083.41 & 3865.68 & 217.725 & -546.308 \tabularnewline
89 & 4879.5 & 3984.41 & 3802.36 & 182.051 & 895.09 \tabularnewline
90 & 4488.7 & 3901.09 & 3768.69 & 132.397 & 587.612 \tabularnewline
91 & 4632.9 & 3687.72 & 3764.47 & -76.751 & 945.176 \tabularnewline
92 & 4405.8 & 3898.25 & 3887.92 & 10.3338 & 507.55 \tabularnewline
93 & 2615.2 & 3586.18 & 4061.9 & -475.721 & -970.983 \tabularnewline
94 & 3338 & 4311.23 & 4256.49 & 54.7389 & -973.226 \tabularnewline
95 & 2825.2 & 3746.83 & 4415.55 & -668.72 & -921.625 \tabularnewline
96 & 3012.7 & 3935.94 & 4453.88 & -517.94 & -923.239 \tabularnewline
97 & 4537.5 & 5060.77 & 4481.13 & 579.642 & -523.275 \tabularnewline
98 & 5676.7 & 4739.33 & 4556.52 & 182.806 & 937.373 \tabularnewline
99 & 5575.4 & 5115.56 & 4736.12 & 379.44 & 459.844 \tabularnewline
100 & 6643.4 & 5240.38 & 5022.66 & 217.725 & 1403.02 \tabularnewline
101 & 5590.6 & 5521.47 & 5339.42 & 182.051 & 69.1279 \tabularnewline
102 & 4697.6 & 5769.65 & 5637.26 & 132.397 & -1072.05 \tabularnewline
103 & 5078.1 & 5969.78 & 6046.53 & -76.751 & -891.682 \tabularnewline
104 & 5769.9 & 6418.03 & 6407.7 & 10.3338 & -648.13 \tabularnewline
105 & 5561.4 & 6102.25 & 6577.97 & -475.721 & -540.845 \tabularnewline
106 & 7268.8 & 6755.02 & 6700.28 & 54.7389 & 513.778 \tabularnewline
107 & 6496.7 & 6086.15 & 6754.87 & -668.72 & 410.554 \tabularnewline
108 & 6489.3 & 6316.3 & 6834.24 & -517.94 & 173.002 \tabularnewline
109 & 10883.5 & 7539.01 & 6959.37 & 579.642 & 3344.49 \tabularnewline
110 & 7998.6 & 7176.53 & 6993.72 & 182.806 & 822.069 \tabularnewline
111 & 7340 & NA & NA & 379.44 & NA \tabularnewline
112 & 7814.4 & NA & NA & 217.725 & NA \tabularnewline
113 & 5729.6 & NA & NA & 182.051 & NA \tabularnewline
114 & 6463.5 & NA & NA & 132.397 & NA \tabularnewline
115 & 6315.4 & NA & NA & -76.751 & NA \tabularnewline
116 & 5357.1 & NA & NA & 10.3338 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=297954&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]1418.7[/C][C]NA[/C][C]NA[/C][C]579.642[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]1344.1[/C][C]NA[/C][C]NA[/C][C]182.806[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]1574.6[/C][C]NA[/C][C]NA[/C][C]379.44[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]1621.6[/C][C]NA[/C][C]NA[/C][C]217.725[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]1887.2[/C][C]NA[/C][C]NA[/C][C]182.051[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]2055.3[/C][C]NA[/C][C]NA[/C][C]132.397[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]1606.8[/C][C]1500.45[/C][C]1577.2[/C][C]-76.751[/C][C]106.351[/C][/ROW]
[ROW][C]8[/C][C]1494.8[/C][C]1593.76[/C][C]1583.42[/C][C]10.3338[/C][C]-98.9588[/C][/ROW]
[ROW][C]9[/C][C]1636[/C][C]1091.24[/C][C]1566.96[/C][C]-475.721[/C][C]544.763[/C][/ROW]
[ROW][C]10[/C][C]1485.7[/C][C]1585.38[/C][C]1530.65[/C][C]54.7389[/C][C]-99.6847[/C][/ROW]
[ROW][C]11[/C][C]1369.7[/C][C]813.934[/C][C]1482.65[/C][C]-668.72[/C][C]555.766[/C][/ROW]
[ROW][C]12[/C][C]1333.8[/C][C]897.264[/C][C]1415.2[/C][C]-517.94[/C][C]436.536[/C][/ROW]
[ROW][C]13[/C][C]1614.9[/C][C]1928.32[/C][C]1348.68[/C][C]579.642[/C][C]-313.425[/C][/ROW]
[ROW][C]14[/C][C]1297.3[/C][C]1519.78[/C][C]1336.98[/C][C]182.806[/C][C]-222.481[/C][/ROW]
[ROW][C]15[/C][C]1226.2[/C][C]1712.84[/C][C]1333.4[/C][C]379.44[/C][C]-486.64[/C][/ROW]
[ROW][C]16[/C][C]1098.5[/C][C]1531.6[/C][C]1313.88[/C][C]217.725[/C][C]-433.104[/C][/ROW]
[ROW][C]17[/C][C]1258.5[/C][C]1484.14[/C][C]1302.09[/C][C]182.051[/C][C]-225.639[/C][/ROW]
[ROW][C]18[/C][C]1065.2[/C][C]1418.13[/C][C]1285.73[/C][C]132.397[/C][C]-352.926[/C][/ROW]
[ROW][C]19[/C][C]1000.4[/C][C]1214[/C][C]1290.75[/C][C]-76.751[/C][C]-213.599[/C][/ROW]
[ROW][C]20[/C][C]1820.2[/C][C]1340.23[/C][C]1329.9[/C][C]10.3338[/C][C]479.97[/C][/ROW]
[ROW][C]21[/C][C]1224.8[/C][C]904.608[/C][C]1380.33[/C][C]-475.721[/C][C]320.192[/C][/ROW]
[ROW][C]22[/C][C]1428.4[/C][C]1482.21[/C][C]1427.47[/C][C]54.7389[/C][C]-53.8055[/C][/ROW]
[ROW][C]23[/C][C]1144[/C][C]810.342[/C][C]1479.06[/C][C]-668.72[/C][C]333.658[/C][/ROW]
[ROW][C]24[/C][C]1166.9[/C][C]1022.91[/C][C]1540.85[/C][C]-517.94[/C][C]143.99[/C][/ROW]
[ROW][C]25[/C][C]1902.3[/C][C]2203.08[/C][C]1623.44[/C][C]579.642[/C][C]-300.783[/C][/ROW]
[ROW][C]26[/C][C]1949.4[/C][C]1855.05[/C][C]1672.25[/C][C]182.806[/C][C]94.3482[/C][/ROW]
[ROW][C]27[/C][C]1784.5[/C][C]2063.9[/C][C]1684.46[/C][C]379.44[/C][C]-279.398[/C][/ROW]
[ROW][C]28[/C][C]1671.5[/C][C]1940.56[/C][C]1722.84[/C][C]217.725[/C][C]-269.062[/C][/ROW]
[ROW][C]29[/C][C]1923.8[/C][C]1974.07[/C][C]1792.02[/C][C]182.051[/C][C]-50.2679[/C][/ROW]
[ROW][C]30[/C][C]1882.8[/C][C]2022.5[/C][C]1890.1[/C][C]132.397[/C][C]-139.697[/C][/ROW]
[ROW][C]31[/C][C]2165[/C][C]1911.81[/C][C]1988.56[/C][C]-76.751[/C][C]253.193[/C][/ROW]
[ROW][C]32[/C][C]1826.9[/C][C]2088.98[/C][C]2078.65[/C][C]10.3338[/C][C]-262.08[/C][/ROW]
[ROW][C]33[/C][C]1511.2[/C][C]1715.79[/C][C]2191.51[/C][C]-475.721[/C][C]-204.587[/C][/ROW]
[ROW][C]34[/C][C]2063.1[/C][C]2402.73[/C][C]2348[/C][C]54.7389[/C][C]-339.635[/C][/ROW]
[ROW][C]35[/C][C]2169.6[/C][C]1832.9[/C][C]2501.62[/C][C]-668.72[/C][C]336.704[/C][/ROW]
[ROW][C]36[/C][C]2495.3[/C][C]2116.62[/C][C]2634.56[/C][C]-517.94[/C][C]378.677[/C][/ROW]
[ROW][C]37[/C][C]2936.9[/C][C]3332.59[/C][C]2752.95[/C][C]579.642[/C][C]-395.692[/C][/ROW]
[ROW][C]38[/C][C]3076.9[/C][C]3023.21[/C][C]2840.41[/C][C]182.806[/C][C]53.6857[/C][/ROW]
[ROW][C]39[/C][C]3365.7[/C][C]3317.67[/C][C]2938.23[/C][C]379.44[/C][C]48.0269[/C][/ROW]
[ROW][C]40[/C][C]3846[/C][C]3242.62[/C][C]3024.89[/C][C]217.725[/C][C]603.384[/C][/ROW]
[ROW][C]41[/C][C]3436.2[/C][C]3251.52[/C][C]3069.47[/C][C]182.051[/C][C]184.678[/C][/ROW]
[ROW][C]42[/C][C]3561.1[/C][C]3251.41[/C][C]3119.01[/C][C]132.397[/C][C]309.691[/C][/ROW]
[ROW][C]43[/C][C]3328[/C][C]3144.62[/C][C]3221.37[/C][C]-76.751[/C][C]183.376[/C][/ROW]
[ROW][C]44[/C][C]2762.9[/C][C]3368.85[/C][C]3358.52[/C][C]10.3338[/C][C]-605.95[/C][/ROW]
[ROW][C]45[/C][C]2923[/C][C]3022.35[/C][C]3498.08[/C][C]-475.721[/C][C]-99.3537[/C][/ROW]
[ROW][C]46[/C][C]2731.1[/C][C]3651.1[/C][C]3596.36[/C][C]54.7389[/C][C]-920.001[/C][/ROW]
[ROW][C]47[/C][C]2571.5[/C][C]2971.19[/C][C]3639.91[/C][C]-668.72[/C][C]-399.692[/C][/ROW]
[ROW][C]48[/C][C]3282.4[/C][C]3168.97[/C][C]3686.91[/C][C]-517.94[/C][C]113.427[/C][/ROW]
[ROW][C]49[/C][C]4606.5[/C][C]4323.27[/C][C]3743.62[/C][C]579.642[/C][C]283.233[/C][/ROW]
[ROW][C]50[/C][C]4698.7[/C][C]4025.6[/C][C]3842.79[/C][C]182.806[/C][C]673.102[/C][/ROW]
[ROW][C]51[/C][C]5093.3[/C][C]4341.08[/C][C]3961.64[/C][C]379.44[/C][C]752.219[/C][/ROW]
[ROW][C]52[/C][C]4477.3[/C][C]4329.77[/C][C]4112.04[/C][C]217.725[/C][C]147.534[/C][/ROW]
[ROW][C]53[/C][C]3850.1[/C][C]4397.16[/C][C]4215.11[/C][C]182.051[/C][C]-547.064[/C][/ROW]
[ROW][C]54[/C][C]4275.2[/C][C]4322.33[/C][C]4189.93[/C][C]132.397[/C][C]-47.1299[/C][/ROW]
[ROW][C]55[/C][C]3975[/C][C]4011.66[/C][C]4088.41[/C][C]-76.751[/C][C]-36.6574[/C][/ROW]
[ROW][C]56[/C][C]4495.9[/C][C]3940.97[/C][C]3930.63[/C][C]10.3338[/C][C]554.933[/C][/ROW]
[ROW][C]57[/C][C]4042.4[/C][C]3323.32[/C][C]3799.04[/C][C]-475.721[/C][C]719.08[/C][/ROW]
[ROW][C]58[/C][C]5221.3[/C][C]3736.74[/C][C]3682[/C][C]54.7389[/C][C]1484.56[/C][/ROW]
[ROW][C]59[/C][C]2555[/C][C]2892.05[/C][C]3560.77[/C][C]-668.72[/C][C]-337.05[/C][/ROW]
[ROW][C]60[/C][C]2694.6[/C][C]2953.76[/C][C]3471.7[/C][C]-517.94[/C][C]-259.156[/C][/ROW]
[ROW][C]61[/C][C]2757.7[/C][C]3971.79[/C][C]3392.15[/C][C]579.642[/C][C]-1214.09[/C][/ROW]
[ROW][C]62[/C][C]2760.9[/C][C]3465.39[/C][C]3282.58[/C][C]182.806[/C][C]-704.489[/C][/ROW]
[ROW][C]63[/C][C]3872.9[/C][C]3540.05[/C][C]3160.61[/C][C]379.44[/C][C]332.852[/C][/ROW]
[ROW][C]64[/C][C]2888.7[/C][C]3222.44[/C][C]3004.71[/C][C]217.725[/C][C]-333.737[/C][/ROW]
[ROW][C]65[/C][C]2529.2[/C][C]3086.56[/C][C]2904.51[/C][C]182.051[/C][C]-557.364[/C][/ROW]
[ROW][C]66[/C][C]3458.3[/C][C]3029.75[/C][C]2897.35[/C][C]132.397[/C][C]428.549[/C][/ROW]
[ROW][C]67[/C][C]2882.8[/C][C]2840.24[/C][C]2916.99[/C][C]-76.751[/C][C]42.5593[/C][/ROW]
[ROW][C]68[/C][C]2958.5[/C][C]2963.37[/C][C]2953.03[/C][C]10.3338[/C][C]-4.8671[/C][/ROW]
[ROW][C]69[/C][C]2652.4[/C][C]2466.79[/C][C]2942.51[/C][C]-475.721[/C][C]185.609[/C][/ROW]
[ROW][C]70[/C][C]2869.8[/C][C]2989.2[/C][C]2934.46[/C][C]54.7389[/C][C]-119.401[/C][/ROW]
[ROW][C]71[/C][C]2501.7[/C][C]2344.59[/C][C]3013.31[/C][C]-668.72[/C][C]157.112[/C][/ROW]
[ROW][C]72[/C][C]2576.1[/C][C]2589.4[/C][C]3107.34[/C][C]-517.94[/C][C]-13.2977[/C][/ROW]
[ROW][C]73[/C][C]3347.5[/C][C]3736.32[/C][C]3156.68[/C][C]579.642[/C][C]-388.817[/C][/ROW]
[ROW][C]74[/C][C]3036.1[/C][C]3401.32[/C][C]3218.52[/C][C]182.806[/C][C]-365.223[/C][/ROW]
[ROW][C]75[/C][C]3345.2[/C][C]3673.61[/C][C]3294.17[/C][C]379.44[/C][C]-328.406[/C][/ROW]
[ROW][C]76[/C][C]3223.2[/C][C]3613.91[/C][C]3396.18[/C][C]217.725[/C][C]-390.708[/C][/ROW]
[ROW][C]77[/C][C]4087[/C][C]3674.55[/C][C]3492.5[/C][C]182.051[/C][C]412.453[/C][/ROW]
[ROW][C]78[/C][C]4157.2[/C][C]3690.23[/C][C]3557.83[/C][C]132.397[/C][C]466.97[/C][/ROW]
[ROW][C]79[/C][C]3368[/C][C]3553.07[/C][C]3629.82[/C][C]-76.751[/C][C]-185.074[/C][/ROW]
[ROW][C]80[/C][C]3957.5[/C][C]3676.33[/C][C]3665.99[/C][C]10.3338[/C][C]281.175[/C][/ROW]
[ROW][C]81[/C][C]3469[/C][C]3219.23[/C][C]3694.95[/C][C]-475.721[/C][C]249.767[/C][/ROW]
[ROW][C]82[/C][C]4501.6[/C][C]3790.54[/C][C]3735.8[/C][C]54.7389[/C][C]711.057[/C][/ROW]
[ROW][C]83[/C][C]3181.4[/C][C]3113.18[/C][C]3781.9[/C][C]-668.72[/C][C]68.2162[/C][/ROW]
[ROW][C]84[/C][C]3464.5[/C][C]3310.8[/C][C]3828.74[/C][C]-517.94[/C][C]153.702[/C][/ROW]
[ROW][C]85[/C][C]4186.9[/C][C]4474.9[/C][C]3895.25[/C][C]579.642[/C][C]-287.996[/C][/ROW]
[ROW][C]86[/C][C]3064.7[/C][C]4149.44[/C][C]3966.64[/C][C]182.806[/C][C]-1084.74[/C][/ROW]
[ROW][C]87[/C][C]4011.7[/C][C]4329.18[/C][C]3949.74[/C][C]379.44[/C][C]-317.481[/C][/ROW]
[ROW][C]88[/C][C]3537.1[/C][C]4083.41[/C][C]3865.68[/C][C]217.725[/C][C]-546.308[/C][/ROW]
[ROW][C]89[/C][C]4879.5[/C][C]3984.41[/C][C]3802.36[/C][C]182.051[/C][C]895.09[/C][/ROW]
[ROW][C]90[/C][C]4488.7[/C][C]3901.09[/C][C]3768.69[/C][C]132.397[/C][C]587.612[/C][/ROW]
[ROW][C]91[/C][C]4632.9[/C][C]3687.72[/C][C]3764.47[/C][C]-76.751[/C][C]945.176[/C][/ROW]
[ROW][C]92[/C][C]4405.8[/C][C]3898.25[/C][C]3887.92[/C][C]10.3338[/C][C]507.55[/C][/ROW]
[ROW][C]93[/C][C]2615.2[/C][C]3586.18[/C][C]4061.9[/C][C]-475.721[/C][C]-970.983[/C][/ROW]
[ROW][C]94[/C][C]3338[/C][C]4311.23[/C][C]4256.49[/C][C]54.7389[/C][C]-973.226[/C][/ROW]
[ROW][C]95[/C][C]2825.2[/C][C]3746.83[/C][C]4415.55[/C][C]-668.72[/C][C]-921.625[/C][/ROW]
[ROW][C]96[/C][C]3012.7[/C][C]3935.94[/C][C]4453.88[/C][C]-517.94[/C][C]-923.239[/C][/ROW]
[ROW][C]97[/C][C]4537.5[/C][C]5060.77[/C][C]4481.13[/C][C]579.642[/C][C]-523.275[/C][/ROW]
[ROW][C]98[/C][C]5676.7[/C][C]4739.33[/C][C]4556.52[/C][C]182.806[/C][C]937.373[/C][/ROW]
[ROW][C]99[/C][C]5575.4[/C][C]5115.56[/C][C]4736.12[/C][C]379.44[/C][C]459.844[/C][/ROW]
[ROW][C]100[/C][C]6643.4[/C][C]5240.38[/C][C]5022.66[/C][C]217.725[/C][C]1403.02[/C][/ROW]
[ROW][C]101[/C][C]5590.6[/C][C]5521.47[/C][C]5339.42[/C][C]182.051[/C][C]69.1279[/C][/ROW]
[ROW][C]102[/C][C]4697.6[/C][C]5769.65[/C][C]5637.26[/C][C]132.397[/C][C]-1072.05[/C][/ROW]
[ROW][C]103[/C][C]5078.1[/C][C]5969.78[/C][C]6046.53[/C][C]-76.751[/C][C]-891.682[/C][/ROW]
[ROW][C]104[/C][C]5769.9[/C][C]6418.03[/C][C]6407.7[/C][C]10.3338[/C][C]-648.13[/C][/ROW]
[ROW][C]105[/C][C]5561.4[/C][C]6102.25[/C][C]6577.97[/C][C]-475.721[/C][C]-540.845[/C][/ROW]
[ROW][C]106[/C][C]7268.8[/C][C]6755.02[/C][C]6700.28[/C][C]54.7389[/C][C]513.778[/C][/ROW]
[ROW][C]107[/C][C]6496.7[/C][C]6086.15[/C][C]6754.87[/C][C]-668.72[/C][C]410.554[/C][/ROW]
[ROW][C]108[/C][C]6489.3[/C][C]6316.3[/C][C]6834.24[/C][C]-517.94[/C][C]173.002[/C][/ROW]
[ROW][C]109[/C][C]10883.5[/C][C]7539.01[/C][C]6959.37[/C][C]579.642[/C][C]3344.49[/C][/ROW]
[ROW][C]110[/C][C]7998.6[/C][C]7176.53[/C][C]6993.72[/C][C]182.806[/C][C]822.069[/C][/ROW]
[ROW][C]111[/C][C]7340[/C][C]NA[/C][C]NA[/C][C]379.44[/C][C]NA[/C][/ROW]
[ROW][C]112[/C][C]7814.4[/C][C]NA[/C][C]NA[/C][C]217.725[/C][C]NA[/C][/ROW]
[ROW][C]113[/C][C]5729.6[/C][C]NA[/C][C]NA[/C][C]182.051[/C][C]NA[/C][/ROW]
[ROW][C]114[/C][C]6463.5[/C][C]NA[/C][C]NA[/C][C]132.397[/C][C]NA[/C][/ROW]
[ROW][C]115[/C][C]6315.4[/C][C]NA[/C][C]NA[/C][C]-76.751[/C][C]NA[/C][/ROW]
[ROW][C]116[/C][C]5357.1[/C][C]NA[/C][C]NA[/C][C]10.3338[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=297954&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=297954&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
11418.7NANA579.642NA
21344.1NANA182.806NA
31574.6NANA379.44NA
41621.6NANA217.725NA
51887.2NANA182.051NA
62055.3NANA132.397NA
71606.81500.451577.2-76.751106.351
81494.81593.761583.4210.3338-98.9588
916361091.241566.96-475.721544.763
101485.71585.381530.6554.7389-99.6847
111369.7813.9341482.65-668.72555.766
121333.8897.2641415.2-517.94436.536
131614.91928.321348.68579.642-313.425
141297.31519.781336.98182.806-222.481
151226.21712.841333.4379.44-486.64
161098.51531.61313.88217.725-433.104
171258.51484.141302.09182.051-225.639
181065.21418.131285.73132.397-352.926
191000.412141290.75-76.751-213.599
201820.21340.231329.910.3338479.97
211224.8904.6081380.33-475.721320.192
221428.41482.211427.4754.7389-53.8055
231144810.3421479.06-668.72333.658
241166.91022.911540.85-517.94143.99
251902.32203.081623.44579.642-300.783
261949.41855.051672.25182.80694.3482
271784.52063.91684.46379.44-279.398
281671.51940.561722.84217.725-269.062
291923.81974.071792.02182.051-50.2679
301882.82022.51890.1132.397-139.697
3121651911.811988.56-76.751253.193
321826.92088.982078.6510.3338-262.08
331511.21715.792191.51-475.721-204.587
342063.12402.73234854.7389-339.635
352169.61832.92501.62-668.72336.704
362495.32116.622634.56-517.94378.677
372936.93332.592752.95579.642-395.692
383076.93023.212840.41182.80653.6857
393365.73317.672938.23379.4448.0269
4038463242.623024.89217.725603.384
413436.23251.523069.47182.051184.678
423561.13251.413119.01132.397309.691
4333283144.623221.37-76.751183.376
442762.93368.853358.5210.3338-605.95
4529233022.353498.08-475.721-99.3537
462731.13651.13596.3654.7389-920.001
472571.52971.193639.91-668.72-399.692
483282.43168.973686.91-517.94113.427
494606.54323.273743.62579.642283.233
504698.74025.63842.79182.806673.102
515093.34341.083961.64379.44752.219
524477.34329.774112.04217.725147.534
533850.14397.164215.11182.051-547.064
544275.24322.334189.93132.397-47.1299
5539754011.664088.41-76.751-36.6574
564495.93940.973930.6310.3338554.933
574042.43323.323799.04-475.721719.08
585221.33736.74368254.73891484.56
5925552892.053560.77-668.72-337.05
602694.62953.763471.7-517.94-259.156
612757.73971.793392.15579.642-1214.09
622760.93465.393282.58182.806-704.489
633872.93540.053160.61379.44332.852
642888.73222.443004.71217.725-333.737
652529.23086.562904.51182.051-557.364
663458.33029.752897.35132.397428.549
672882.82840.242916.99-76.75142.5593
682958.52963.372953.0310.3338-4.8671
692652.42466.792942.51-475.721185.609
702869.82989.22934.4654.7389-119.401
712501.72344.593013.31-668.72157.112
722576.12589.43107.34-517.94-13.2977
733347.53736.323156.68579.642-388.817
743036.13401.323218.52182.806-365.223
753345.23673.613294.17379.44-328.406
763223.23613.913396.18217.725-390.708
7740873674.553492.5182.051412.453
784157.23690.233557.83132.397466.97
7933683553.073629.82-76.751-185.074
803957.53676.333665.9910.3338281.175
8134693219.233694.95-475.721249.767
824501.63790.543735.854.7389711.057
833181.43113.183781.9-668.7268.2162
843464.53310.83828.74-517.94153.702
854186.94474.93895.25579.642-287.996
863064.74149.443966.64182.806-1084.74
874011.74329.183949.74379.44-317.481
883537.14083.413865.68217.725-546.308
894879.53984.413802.36182.051895.09
904488.73901.093768.69132.397587.612
914632.93687.723764.47-76.751945.176
924405.83898.253887.9210.3338507.55
932615.23586.184061.9-475.721-970.983
9433384311.234256.4954.7389-973.226
952825.23746.834415.55-668.72-921.625
963012.73935.944453.88-517.94-923.239
974537.55060.774481.13579.642-523.275
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1055561.46102.256577.97-475.721-540.845
1067268.86755.026700.2854.7389513.778
1076496.76086.156754.87-668.72410.554
1086489.36316.36834.24-517.94173.002
10910883.57539.016959.37579.6423344.49
1107998.67176.536993.72182.806822.069
1117340NANA379.44NA
1127814.4NANA217.725NA
1135729.6NANA182.051NA
1146463.5NANA132.397NA
1156315.4NANA-76.751NA
1165357.1NANA10.3338NA



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')