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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 13:35:27 +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/t1481114312i0ozljp7h53wouk.htm/, Retrieved Tue, 07 May 2024 04:48:52 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=298056, Retrieved Tue, 07 May 2024 04:48:52 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact69
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [Classical Decompo...] [2016-12-07 12:35:27] [f916b4255bf1e1993d1067800ff1f972] [Current]
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Dataseries X:
5033
4509.5
3970
3378
2866
2315.5
1895
8401.5
8040
7534
7135.5
6466.5
5661.5
4896
4064.5
3296
2593.5
2007
1513.5
6645
6221.5
5474
5135.5
4630.5
4164
3600.5
2969
2503.5
2054.5
1608.5
1297.5
8485
8163.5
7814
7453.5
6888.5
6283.5
5712
5030
4488
4058.5
3585
3199.5
8181
8219.5
7865.5
7516.5
7116
6615.5
6216.5
5699.5
5179
4727.5
4224.5
3780.5
7023.5
6558
6257.5
5862.5
5343
4756
4173.5
3451.5
2849
2351
1887.5
1416.5
7399
7013
6644.5
6238.5
5721
5137.5
4357
3750.5
3324
2861
2455.5
2027.5
8388.5
7910
7686
7163
6841.5
6448.5
6060.5
5739
5362.5
5081
4764
4522.5
9056.5
8352
7683
7319.5
6708
6204.5
5576.5
4776.5
4279.5
3918
3288.5
2393.5
8131.5
8121
7790.5
7411.5
6861
6197
5622.5
4855.5
4303.5
3853.5
3283.5
2861.5
9486.5
9061
8877.5
8557.5
8031
7404.5
6852.5
6174.5
5341.5
4975.5
4290




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=298056&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=298056&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298056&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
15033NANA362.788NA
24509.5NANA-230.376NA
33970NANA-893.349NA
43378NANA-1432.18NA
52866NANA-1899.04NA
62315.5NANA-2401.15NA
718952244.185154.9-2910.72-349.176
88401.57895.875197.192698.69505.626
980407543.125217.232325.89496.883
1075347122.975217.751905.22411.028
117135.56707.935202.981504.95427.57
126466.56148.055178.77969.284318.445
135661.55512.815150.02362.788148.691
1448964830.565060.94-230.37665.4388
154064.54018.634911.98-893.34945.8693
1632963318.194750.38-1432.18-22.1908
172593.52682.174581.21-1899.04-88.6654
1820072020.234421.38-2401.15-13.2279
191513.51371.764282.48-2910.72141.741
2066456864.794166.12698.69-219.79
216221.56392.374066.482325.89-170.867
2254745893.033987.811905.22-419.034
235135.55437.283932.331504.95-301.784
244630.54862.553893.27969.284-232.055
2541644230.453867.67362.788-66.4547
263600.53704.963935.33-230.376-104.457
2729693199.574092.92-893.349-230.568
282503.52839.154271.33-1432.18-335.649
292054.52566.374465.42-1899.04-511.874
301608.52254.944656.08-2401.15-646.436
311297.51927.764838.48-2910.72-630.259
3284857713.465014.772698.69771.543
338163.57514.515188.622325.89648.987
3478147262.415357.191905.22551.591
357453.57028.335523.381504.95425.174
366888.56658.515689.23969.284229.987
376283.56213.625850.83362.78869.8786
3857125687.045917.42-230.37624.9596
3950305013.735907.08-893.34916.2652
4044884479.385911.56-1432.188.62166
414058.54017.295916.33-1899.0441.2096
4235853527.295928.44-2401.1557.7096
433199.53041.035951.75-2910.72158.47
4481818685.295986.62698.69-504.29
458219.58361.416035.522325.89-141.909
467865.57997.436092.211905.22-131.93
477516.57653.836148.881504.95-137.326
4871167172.686203.4969.284-56.68
496615.56617.046254.25362.788-1.53806
506216.55999.856230.23-230.376216.647
515699.55219.426112.77-893.349480.078
5251794544.365976.54-1432.18634.642
534727.53941.585840.62-1899.04785.918
544224.53296.695697.83-2401.15927.814
553780.52635.765546.48-2910.721144.74
567023.58082.565383.872698.69-1059.06
5765587530.975205.082325.89-972.972
586257.56919.555014.331905.22-662.055
595862.56323.184818.231504.95-460.68
6053435591.124621.83969.284-248.117
6147564788.754425.96362.788-32.7464
624173.54112.734343.1-230.37660.7721
633451.53484.364377.71-893.349-32.8598
6428492980.614412.79-1432.18-131.608
6523512545.544444.58-1899.04-194.54
661887.52074.854476-2401.15-187.353
671416.51596.934507.65-2910.72-180.426
6873997229.874531.192698.69169.126
6970136877.184551.292325.89135.82
706644.56488.764583.541905.22155.737
716238.56129.534624.581504.95108.966
7257215638.784669.5969.28482.2159
735137.55081.414718.62362.78856.0869
7443574554.944785.31-230.376-197.936
753750.53970.574863.92-893.349-220.068
7633243512.54944.69-1432.18-188.503
7728613127.565026.6-1899.04-266.561
782455.52710.675111.81-2401.15-255.165
792027.52302.45213.12-2910.72-274.905
808388.58037.425338.732698.69351.085
8179107818.455492.562325.8991.5492
8276867565.585660.351905.22120.424
8371637342.745837.791504.95-179.742
846841.56995.766026.48969.284-154.263
856448.56589.416226.63362.788-140.913
866060.56128.046358.42-230.376-67.5404
8757395511.326404.67-893.349227.682
885362.54990.776422.96-1432.18371.726
8950814530.316429.35-1899.04550.689
9047644029.176430.31-2401.15734.835
914522.53503.866414.58-2910.721018.64
929056.59082.946384.252698.69-26.4362
9383528649.876323.982325.89-297.867
9476838143.976238.751905.22-460.972
957319.57650.126145.171504.95-330.617
9667087004.516035.23969.284-296.513
976204.56247.835885.04362.788-43.3297
985576.55527.425757.79-230.37649.0846
994776.54816.285709.62-893.349-39.7765
1004279.54272.35704.48-1432.187.205
10139183813.755712.79-1899.04104.251
1023288.53321.855723-2401.15-33.3529
1032393.52818.345729.06-2910.72-424.842
1048131.58429.355730.672698.69-297.853
10581218061.765735.872325.8959.2367
1067790.57645.395740.171905.22145.112
1077411.57243.435738.481504.95168.07
10868616704.875735.58969.284156.133
10961976117.665754.88362.78879.3369
1105622.55600.465830.83-230.37622.043
1114855.55033.115926.46-893.349-177.61
1124303.54578.736010.92-1432.18-275.233
1133853.54204.926103.96-1899.04-351.415
1143283.53799.316200.46-2401.15-515.811
1152861.53388.86299.52-2910.72-527.301
1169486.59099.776401.082698.69386.73
11790618833.186507.292325.89227.82
1188877.58510.726605.51905.22366.778
1198557.58200.456695.51504.95357.049
12080317753.476784.19969.284277.528
1217404.5NANA362.788NA
1226852.5NANA-230.376NA
1236174.5NANA-893.349NA
1245341.5NANA-1432.18NA
1254975.5NANA-1899.04NA
1264290NANA-2401.15NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 5033 & NA & NA & 362.788 & NA \tabularnewline
2 & 4509.5 & NA & NA & -230.376 & NA \tabularnewline
3 & 3970 & NA & NA & -893.349 & NA \tabularnewline
4 & 3378 & NA & NA & -1432.18 & NA \tabularnewline
5 & 2866 & NA & NA & -1899.04 & NA \tabularnewline
6 & 2315.5 & NA & NA & -2401.15 & NA \tabularnewline
7 & 1895 & 2244.18 & 5154.9 & -2910.72 & -349.176 \tabularnewline
8 & 8401.5 & 7895.87 & 5197.19 & 2698.69 & 505.626 \tabularnewline
9 & 8040 & 7543.12 & 5217.23 & 2325.89 & 496.883 \tabularnewline
10 & 7534 & 7122.97 & 5217.75 & 1905.22 & 411.028 \tabularnewline
11 & 7135.5 & 6707.93 & 5202.98 & 1504.95 & 427.57 \tabularnewline
12 & 6466.5 & 6148.05 & 5178.77 & 969.284 & 318.445 \tabularnewline
13 & 5661.5 & 5512.81 & 5150.02 & 362.788 & 148.691 \tabularnewline
14 & 4896 & 4830.56 & 5060.94 & -230.376 & 65.4388 \tabularnewline
15 & 4064.5 & 4018.63 & 4911.98 & -893.349 & 45.8693 \tabularnewline
16 & 3296 & 3318.19 & 4750.38 & -1432.18 & -22.1908 \tabularnewline
17 & 2593.5 & 2682.17 & 4581.21 & -1899.04 & -88.6654 \tabularnewline
18 & 2007 & 2020.23 & 4421.38 & -2401.15 & -13.2279 \tabularnewline
19 & 1513.5 & 1371.76 & 4282.48 & -2910.72 & 141.741 \tabularnewline
20 & 6645 & 6864.79 & 4166.1 & 2698.69 & -219.79 \tabularnewline
21 & 6221.5 & 6392.37 & 4066.48 & 2325.89 & -170.867 \tabularnewline
22 & 5474 & 5893.03 & 3987.81 & 1905.22 & -419.034 \tabularnewline
23 & 5135.5 & 5437.28 & 3932.33 & 1504.95 & -301.784 \tabularnewline
24 & 4630.5 & 4862.55 & 3893.27 & 969.284 & -232.055 \tabularnewline
25 & 4164 & 4230.45 & 3867.67 & 362.788 & -66.4547 \tabularnewline
26 & 3600.5 & 3704.96 & 3935.33 & -230.376 & -104.457 \tabularnewline
27 & 2969 & 3199.57 & 4092.92 & -893.349 & -230.568 \tabularnewline
28 & 2503.5 & 2839.15 & 4271.33 & -1432.18 & -335.649 \tabularnewline
29 & 2054.5 & 2566.37 & 4465.42 & -1899.04 & -511.874 \tabularnewline
30 & 1608.5 & 2254.94 & 4656.08 & -2401.15 & -646.436 \tabularnewline
31 & 1297.5 & 1927.76 & 4838.48 & -2910.72 & -630.259 \tabularnewline
32 & 8485 & 7713.46 & 5014.77 & 2698.69 & 771.543 \tabularnewline
33 & 8163.5 & 7514.51 & 5188.62 & 2325.89 & 648.987 \tabularnewline
34 & 7814 & 7262.41 & 5357.19 & 1905.22 & 551.591 \tabularnewline
35 & 7453.5 & 7028.33 & 5523.38 & 1504.95 & 425.174 \tabularnewline
36 & 6888.5 & 6658.51 & 5689.23 & 969.284 & 229.987 \tabularnewline
37 & 6283.5 & 6213.62 & 5850.83 & 362.788 & 69.8786 \tabularnewline
38 & 5712 & 5687.04 & 5917.42 & -230.376 & 24.9596 \tabularnewline
39 & 5030 & 5013.73 & 5907.08 & -893.349 & 16.2652 \tabularnewline
40 & 4488 & 4479.38 & 5911.56 & -1432.18 & 8.62166 \tabularnewline
41 & 4058.5 & 4017.29 & 5916.33 & -1899.04 & 41.2096 \tabularnewline
42 & 3585 & 3527.29 & 5928.44 & -2401.15 & 57.7096 \tabularnewline
43 & 3199.5 & 3041.03 & 5951.75 & -2910.72 & 158.47 \tabularnewline
44 & 8181 & 8685.29 & 5986.6 & 2698.69 & -504.29 \tabularnewline
45 & 8219.5 & 8361.41 & 6035.52 & 2325.89 & -141.909 \tabularnewline
46 & 7865.5 & 7997.43 & 6092.21 & 1905.22 & -131.93 \tabularnewline
47 & 7516.5 & 7653.83 & 6148.88 & 1504.95 & -137.326 \tabularnewline
48 & 7116 & 7172.68 & 6203.4 & 969.284 & -56.68 \tabularnewline
49 & 6615.5 & 6617.04 & 6254.25 & 362.788 & -1.53806 \tabularnewline
50 & 6216.5 & 5999.85 & 6230.23 & -230.376 & 216.647 \tabularnewline
51 & 5699.5 & 5219.42 & 6112.77 & -893.349 & 480.078 \tabularnewline
52 & 5179 & 4544.36 & 5976.54 & -1432.18 & 634.642 \tabularnewline
53 & 4727.5 & 3941.58 & 5840.62 & -1899.04 & 785.918 \tabularnewline
54 & 4224.5 & 3296.69 & 5697.83 & -2401.15 & 927.814 \tabularnewline
55 & 3780.5 & 2635.76 & 5546.48 & -2910.72 & 1144.74 \tabularnewline
56 & 7023.5 & 8082.56 & 5383.87 & 2698.69 & -1059.06 \tabularnewline
57 & 6558 & 7530.97 & 5205.08 & 2325.89 & -972.972 \tabularnewline
58 & 6257.5 & 6919.55 & 5014.33 & 1905.22 & -662.055 \tabularnewline
59 & 5862.5 & 6323.18 & 4818.23 & 1504.95 & -460.68 \tabularnewline
60 & 5343 & 5591.12 & 4621.83 & 969.284 & -248.117 \tabularnewline
61 & 4756 & 4788.75 & 4425.96 & 362.788 & -32.7464 \tabularnewline
62 & 4173.5 & 4112.73 & 4343.1 & -230.376 & 60.7721 \tabularnewline
63 & 3451.5 & 3484.36 & 4377.71 & -893.349 & -32.8598 \tabularnewline
64 & 2849 & 2980.61 & 4412.79 & -1432.18 & -131.608 \tabularnewline
65 & 2351 & 2545.54 & 4444.58 & -1899.04 & -194.54 \tabularnewline
66 & 1887.5 & 2074.85 & 4476 & -2401.15 & -187.353 \tabularnewline
67 & 1416.5 & 1596.93 & 4507.65 & -2910.72 & -180.426 \tabularnewline
68 & 7399 & 7229.87 & 4531.19 & 2698.69 & 169.126 \tabularnewline
69 & 7013 & 6877.18 & 4551.29 & 2325.89 & 135.82 \tabularnewline
70 & 6644.5 & 6488.76 & 4583.54 & 1905.22 & 155.737 \tabularnewline
71 & 6238.5 & 6129.53 & 4624.58 & 1504.95 & 108.966 \tabularnewline
72 & 5721 & 5638.78 & 4669.5 & 969.284 & 82.2159 \tabularnewline
73 & 5137.5 & 5081.41 & 4718.62 & 362.788 & 56.0869 \tabularnewline
74 & 4357 & 4554.94 & 4785.31 & -230.376 & -197.936 \tabularnewline
75 & 3750.5 & 3970.57 & 4863.92 & -893.349 & -220.068 \tabularnewline
76 & 3324 & 3512.5 & 4944.69 & -1432.18 & -188.503 \tabularnewline
77 & 2861 & 3127.56 & 5026.6 & -1899.04 & -266.561 \tabularnewline
78 & 2455.5 & 2710.67 & 5111.81 & -2401.15 & -255.165 \tabularnewline
79 & 2027.5 & 2302.4 & 5213.12 & -2910.72 & -274.905 \tabularnewline
80 & 8388.5 & 8037.42 & 5338.73 & 2698.69 & 351.085 \tabularnewline
81 & 7910 & 7818.45 & 5492.56 & 2325.89 & 91.5492 \tabularnewline
82 & 7686 & 7565.58 & 5660.35 & 1905.22 & 120.424 \tabularnewline
83 & 7163 & 7342.74 & 5837.79 & 1504.95 & -179.742 \tabularnewline
84 & 6841.5 & 6995.76 & 6026.48 & 969.284 & -154.263 \tabularnewline
85 & 6448.5 & 6589.41 & 6226.63 & 362.788 & -140.913 \tabularnewline
86 & 6060.5 & 6128.04 & 6358.42 & -230.376 & -67.5404 \tabularnewline
87 & 5739 & 5511.32 & 6404.67 & -893.349 & 227.682 \tabularnewline
88 & 5362.5 & 4990.77 & 6422.96 & -1432.18 & 371.726 \tabularnewline
89 & 5081 & 4530.31 & 6429.35 & -1899.04 & 550.689 \tabularnewline
90 & 4764 & 4029.17 & 6430.31 & -2401.15 & 734.835 \tabularnewline
91 & 4522.5 & 3503.86 & 6414.58 & -2910.72 & 1018.64 \tabularnewline
92 & 9056.5 & 9082.94 & 6384.25 & 2698.69 & -26.4362 \tabularnewline
93 & 8352 & 8649.87 & 6323.98 & 2325.89 & -297.867 \tabularnewline
94 & 7683 & 8143.97 & 6238.75 & 1905.22 & -460.972 \tabularnewline
95 & 7319.5 & 7650.12 & 6145.17 & 1504.95 & -330.617 \tabularnewline
96 & 6708 & 7004.51 & 6035.23 & 969.284 & -296.513 \tabularnewline
97 & 6204.5 & 6247.83 & 5885.04 & 362.788 & -43.3297 \tabularnewline
98 & 5576.5 & 5527.42 & 5757.79 & -230.376 & 49.0846 \tabularnewline
99 & 4776.5 & 4816.28 & 5709.62 & -893.349 & -39.7765 \tabularnewline
100 & 4279.5 & 4272.3 & 5704.48 & -1432.18 & 7.205 \tabularnewline
101 & 3918 & 3813.75 & 5712.79 & -1899.04 & 104.251 \tabularnewline
102 & 3288.5 & 3321.85 & 5723 & -2401.15 & -33.3529 \tabularnewline
103 & 2393.5 & 2818.34 & 5729.06 & -2910.72 & -424.842 \tabularnewline
104 & 8131.5 & 8429.35 & 5730.67 & 2698.69 & -297.853 \tabularnewline
105 & 8121 & 8061.76 & 5735.87 & 2325.89 & 59.2367 \tabularnewline
106 & 7790.5 & 7645.39 & 5740.17 & 1905.22 & 145.112 \tabularnewline
107 & 7411.5 & 7243.43 & 5738.48 & 1504.95 & 168.07 \tabularnewline
108 & 6861 & 6704.87 & 5735.58 & 969.284 & 156.133 \tabularnewline
109 & 6197 & 6117.66 & 5754.88 & 362.788 & 79.3369 \tabularnewline
110 & 5622.5 & 5600.46 & 5830.83 & -230.376 & 22.043 \tabularnewline
111 & 4855.5 & 5033.11 & 5926.46 & -893.349 & -177.61 \tabularnewline
112 & 4303.5 & 4578.73 & 6010.92 & -1432.18 & -275.233 \tabularnewline
113 & 3853.5 & 4204.92 & 6103.96 & -1899.04 & -351.415 \tabularnewline
114 & 3283.5 & 3799.31 & 6200.46 & -2401.15 & -515.811 \tabularnewline
115 & 2861.5 & 3388.8 & 6299.52 & -2910.72 & -527.301 \tabularnewline
116 & 9486.5 & 9099.77 & 6401.08 & 2698.69 & 386.73 \tabularnewline
117 & 9061 & 8833.18 & 6507.29 & 2325.89 & 227.82 \tabularnewline
118 & 8877.5 & 8510.72 & 6605.5 & 1905.22 & 366.778 \tabularnewline
119 & 8557.5 & 8200.45 & 6695.5 & 1504.95 & 357.049 \tabularnewline
120 & 8031 & 7753.47 & 6784.19 & 969.284 & 277.528 \tabularnewline
121 & 7404.5 & NA & NA & 362.788 & NA \tabularnewline
122 & 6852.5 & NA & NA & -230.376 & NA \tabularnewline
123 & 6174.5 & NA & NA & -893.349 & NA \tabularnewline
124 & 5341.5 & NA & NA & -1432.18 & NA \tabularnewline
125 & 4975.5 & NA & NA & -1899.04 & NA \tabularnewline
126 & 4290 & NA & NA & -2401.15 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298056&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]5033[/C][C]NA[/C][C]NA[/C][C]362.788[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]4509.5[/C][C]NA[/C][C]NA[/C][C]-230.376[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]3970[/C][C]NA[/C][C]NA[/C][C]-893.349[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]3378[/C][C]NA[/C][C]NA[/C][C]-1432.18[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]2866[/C][C]NA[/C][C]NA[/C][C]-1899.04[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]2315.5[/C][C]NA[/C][C]NA[/C][C]-2401.15[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]1895[/C][C]2244.18[/C][C]5154.9[/C][C]-2910.72[/C][C]-349.176[/C][/ROW]
[ROW][C]8[/C][C]8401.5[/C][C]7895.87[/C][C]5197.19[/C][C]2698.69[/C][C]505.626[/C][/ROW]
[ROW][C]9[/C][C]8040[/C][C]7543.12[/C][C]5217.23[/C][C]2325.89[/C][C]496.883[/C][/ROW]
[ROW][C]10[/C][C]7534[/C][C]7122.97[/C][C]5217.75[/C][C]1905.22[/C][C]411.028[/C][/ROW]
[ROW][C]11[/C][C]7135.5[/C][C]6707.93[/C][C]5202.98[/C][C]1504.95[/C][C]427.57[/C][/ROW]
[ROW][C]12[/C][C]6466.5[/C][C]6148.05[/C][C]5178.77[/C][C]969.284[/C][C]318.445[/C][/ROW]
[ROW][C]13[/C][C]5661.5[/C][C]5512.81[/C][C]5150.02[/C][C]362.788[/C][C]148.691[/C][/ROW]
[ROW][C]14[/C][C]4896[/C][C]4830.56[/C][C]5060.94[/C][C]-230.376[/C][C]65.4388[/C][/ROW]
[ROW][C]15[/C][C]4064.5[/C][C]4018.63[/C][C]4911.98[/C][C]-893.349[/C][C]45.8693[/C][/ROW]
[ROW][C]16[/C][C]3296[/C][C]3318.19[/C][C]4750.38[/C][C]-1432.18[/C][C]-22.1908[/C][/ROW]
[ROW][C]17[/C][C]2593.5[/C][C]2682.17[/C][C]4581.21[/C][C]-1899.04[/C][C]-88.6654[/C][/ROW]
[ROW][C]18[/C][C]2007[/C][C]2020.23[/C][C]4421.38[/C][C]-2401.15[/C][C]-13.2279[/C][/ROW]
[ROW][C]19[/C][C]1513.5[/C][C]1371.76[/C][C]4282.48[/C][C]-2910.72[/C][C]141.741[/C][/ROW]
[ROW][C]20[/C][C]6645[/C][C]6864.79[/C][C]4166.1[/C][C]2698.69[/C][C]-219.79[/C][/ROW]
[ROW][C]21[/C][C]6221.5[/C][C]6392.37[/C][C]4066.48[/C][C]2325.89[/C][C]-170.867[/C][/ROW]
[ROW][C]22[/C][C]5474[/C][C]5893.03[/C][C]3987.81[/C][C]1905.22[/C][C]-419.034[/C][/ROW]
[ROW][C]23[/C][C]5135.5[/C][C]5437.28[/C][C]3932.33[/C][C]1504.95[/C][C]-301.784[/C][/ROW]
[ROW][C]24[/C][C]4630.5[/C][C]4862.55[/C][C]3893.27[/C][C]969.284[/C][C]-232.055[/C][/ROW]
[ROW][C]25[/C][C]4164[/C][C]4230.45[/C][C]3867.67[/C][C]362.788[/C][C]-66.4547[/C][/ROW]
[ROW][C]26[/C][C]3600.5[/C][C]3704.96[/C][C]3935.33[/C][C]-230.376[/C][C]-104.457[/C][/ROW]
[ROW][C]27[/C][C]2969[/C][C]3199.57[/C][C]4092.92[/C][C]-893.349[/C][C]-230.568[/C][/ROW]
[ROW][C]28[/C][C]2503.5[/C][C]2839.15[/C][C]4271.33[/C][C]-1432.18[/C][C]-335.649[/C][/ROW]
[ROW][C]29[/C][C]2054.5[/C][C]2566.37[/C][C]4465.42[/C][C]-1899.04[/C][C]-511.874[/C][/ROW]
[ROW][C]30[/C][C]1608.5[/C][C]2254.94[/C][C]4656.08[/C][C]-2401.15[/C][C]-646.436[/C][/ROW]
[ROW][C]31[/C][C]1297.5[/C][C]1927.76[/C][C]4838.48[/C][C]-2910.72[/C][C]-630.259[/C][/ROW]
[ROW][C]32[/C][C]8485[/C][C]7713.46[/C][C]5014.77[/C][C]2698.69[/C][C]771.543[/C][/ROW]
[ROW][C]33[/C][C]8163.5[/C][C]7514.51[/C][C]5188.62[/C][C]2325.89[/C][C]648.987[/C][/ROW]
[ROW][C]34[/C][C]7814[/C][C]7262.41[/C][C]5357.19[/C][C]1905.22[/C][C]551.591[/C][/ROW]
[ROW][C]35[/C][C]7453.5[/C][C]7028.33[/C][C]5523.38[/C][C]1504.95[/C][C]425.174[/C][/ROW]
[ROW][C]36[/C][C]6888.5[/C][C]6658.51[/C][C]5689.23[/C][C]969.284[/C][C]229.987[/C][/ROW]
[ROW][C]37[/C][C]6283.5[/C][C]6213.62[/C][C]5850.83[/C][C]362.788[/C][C]69.8786[/C][/ROW]
[ROW][C]38[/C][C]5712[/C][C]5687.04[/C][C]5917.42[/C][C]-230.376[/C][C]24.9596[/C][/ROW]
[ROW][C]39[/C][C]5030[/C][C]5013.73[/C][C]5907.08[/C][C]-893.349[/C][C]16.2652[/C][/ROW]
[ROW][C]40[/C][C]4488[/C][C]4479.38[/C][C]5911.56[/C][C]-1432.18[/C][C]8.62166[/C][/ROW]
[ROW][C]41[/C][C]4058.5[/C][C]4017.29[/C][C]5916.33[/C][C]-1899.04[/C][C]41.2096[/C][/ROW]
[ROW][C]42[/C][C]3585[/C][C]3527.29[/C][C]5928.44[/C][C]-2401.15[/C][C]57.7096[/C][/ROW]
[ROW][C]43[/C][C]3199.5[/C][C]3041.03[/C][C]5951.75[/C][C]-2910.72[/C][C]158.47[/C][/ROW]
[ROW][C]44[/C][C]8181[/C][C]8685.29[/C][C]5986.6[/C][C]2698.69[/C][C]-504.29[/C][/ROW]
[ROW][C]45[/C][C]8219.5[/C][C]8361.41[/C][C]6035.52[/C][C]2325.89[/C][C]-141.909[/C][/ROW]
[ROW][C]46[/C][C]7865.5[/C][C]7997.43[/C][C]6092.21[/C][C]1905.22[/C][C]-131.93[/C][/ROW]
[ROW][C]47[/C][C]7516.5[/C][C]7653.83[/C][C]6148.88[/C][C]1504.95[/C][C]-137.326[/C][/ROW]
[ROW][C]48[/C][C]7116[/C][C]7172.68[/C][C]6203.4[/C][C]969.284[/C][C]-56.68[/C][/ROW]
[ROW][C]49[/C][C]6615.5[/C][C]6617.04[/C][C]6254.25[/C][C]362.788[/C][C]-1.53806[/C][/ROW]
[ROW][C]50[/C][C]6216.5[/C][C]5999.85[/C][C]6230.23[/C][C]-230.376[/C][C]216.647[/C][/ROW]
[ROW][C]51[/C][C]5699.5[/C][C]5219.42[/C][C]6112.77[/C][C]-893.349[/C][C]480.078[/C][/ROW]
[ROW][C]52[/C][C]5179[/C][C]4544.36[/C][C]5976.54[/C][C]-1432.18[/C][C]634.642[/C][/ROW]
[ROW][C]53[/C][C]4727.5[/C][C]3941.58[/C][C]5840.62[/C][C]-1899.04[/C][C]785.918[/C][/ROW]
[ROW][C]54[/C][C]4224.5[/C][C]3296.69[/C][C]5697.83[/C][C]-2401.15[/C][C]927.814[/C][/ROW]
[ROW][C]55[/C][C]3780.5[/C][C]2635.76[/C][C]5546.48[/C][C]-2910.72[/C][C]1144.74[/C][/ROW]
[ROW][C]56[/C][C]7023.5[/C][C]8082.56[/C][C]5383.87[/C][C]2698.69[/C][C]-1059.06[/C][/ROW]
[ROW][C]57[/C][C]6558[/C][C]7530.97[/C][C]5205.08[/C][C]2325.89[/C][C]-972.972[/C][/ROW]
[ROW][C]58[/C][C]6257.5[/C][C]6919.55[/C][C]5014.33[/C][C]1905.22[/C][C]-662.055[/C][/ROW]
[ROW][C]59[/C][C]5862.5[/C][C]6323.18[/C][C]4818.23[/C][C]1504.95[/C][C]-460.68[/C][/ROW]
[ROW][C]60[/C][C]5343[/C][C]5591.12[/C][C]4621.83[/C][C]969.284[/C][C]-248.117[/C][/ROW]
[ROW][C]61[/C][C]4756[/C][C]4788.75[/C][C]4425.96[/C][C]362.788[/C][C]-32.7464[/C][/ROW]
[ROW][C]62[/C][C]4173.5[/C][C]4112.73[/C][C]4343.1[/C][C]-230.376[/C][C]60.7721[/C][/ROW]
[ROW][C]63[/C][C]3451.5[/C][C]3484.36[/C][C]4377.71[/C][C]-893.349[/C][C]-32.8598[/C][/ROW]
[ROW][C]64[/C][C]2849[/C][C]2980.61[/C][C]4412.79[/C][C]-1432.18[/C][C]-131.608[/C][/ROW]
[ROW][C]65[/C][C]2351[/C][C]2545.54[/C][C]4444.58[/C][C]-1899.04[/C][C]-194.54[/C][/ROW]
[ROW][C]66[/C][C]1887.5[/C][C]2074.85[/C][C]4476[/C][C]-2401.15[/C][C]-187.353[/C][/ROW]
[ROW][C]67[/C][C]1416.5[/C][C]1596.93[/C][C]4507.65[/C][C]-2910.72[/C][C]-180.426[/C][/ROW]
[ROW][C]68[/C][C]7399[/C][C]7229.87[/C][C]4531.19[/C][C]2698.69[/C][C]169.126[/C][/ROW]
[ROW][C]69[/C][C]7013[/C][C]6877.18[/C][C]4551.29[/C][C]2325.89[/C][C]135.82[/C][/ROW]
[ROW][C]70[/C][C]6644.5[/C][C]6488.76[/C][C]4583.54[/C][C]1905.22[/C][C]155.737[/C][/ROW]
[ROW][C]71[/C][C]6238.5[/C][C]6129.53[/C][C]4624.58[/C][C]1504.95[/C][C]108.966[/C][/ROW]
[ROW][C]72[/C][C]5721[/C][C]5638.78[/C][C]4669.5[/C][C]969.284[/C][C]82.2159[/C][/ROW]
[ROW][C]73[/C][C]5137.5[/C][C]5081.41[/C][C]4718.62[/C][C]362.788[/C][C]56.0869[/C][/ROW]
[ROW][C]74[/C][C]4357[/C][C]4554.94[/C][C]4785.31[/C][C]-230.376[/C][C]-197.936[/C][/ROW]
[ROW][C]75[/C][C]3750.5[/C][C]3970.57[/C][C]4863.92[/C][C]-893.349[/C][C]-220.068[/C][/ROW]
[ROW][C]76[/C][C]3324[/C][C]3512.5[/C][C]4944.69[/C][C]-1432.18[/C][C]-188.503[/C][/ROW]
[ROW][C]77[/C][C]2861[/C][C]3127.56[/C][C]5026.6[/C][C]-1899.04[/C][C]-266.561[/C][/ROW]
[ROW][C]78[/C][C]2455.5[/C][C]2710.67[/C][C]5111.81[/C][C]-2401.15[/C][C]-255.165[/C][/ROW]
[ROW][C]79[/C][C]2027.5[/C][C]2302.4[/C][C]5213.12[/C][C]-2910.72[/C][C]-274.905[/C][/ROW]
[ROW][C]80[/C][C]8388.5[/C][C]8037.42[/C][C]5338.73[/C][C]2698.69[/C][C]351.085[/C][/ROW]
[ROW][C]81[/C][C]7910[/C][C]7818.45[/C][C]5492.56[/C][C]2325.89[/C][C]91.5492[/C][/ROW]
[ROW][C]82[/C][C]7686[/C][C]7565.58[/C][C]5660.35[/C][C]1905.22[/C][C]120.424[/C][/ROW]
[ROW][C]83[/C][C]7163[/C][C]7342.74[/C][C]5837.79[/C][C]1504.95[/C][C]-179.742[/C][/ROW]
[ROW][C]84[/C][C]6841.5[/C][C]6995.76[/C][C]6026.48[/C][C]969.284[/C][C]-154.263[/C][/ROW]
[ROW][C]85[/C][C]6448.5[/C][C]6589.41[/C][C]6226.63[/C][C]362.788[/C][C]-140.913[/C][/ROW]
[ROW][C]86[/C][C]6060.5[/C][C]6128.04[/C][C]6358.42[/C][C]-230.376[/C][C]-67.5404[/C][/ROW]
[ROW][C]87[/C][C]5739[/C][C]5511.32[/C][C]6404.67[/C][C]-893.349[/C][C]227.682[/C][/ROW]
[ROW][C]88[/C][C]5362.5[/C][C]4990.77[/C][C]6422.96[/C][C]-1432.18[/C][C]371.726[/C][/ROW]
[ROW][C]89[/C][C]5081[/C][C]4530.31[/C][C]6429.35[/C][C]-1899.04[/C][C]550.689[/C][/ROW]
[ROW][C]90[/C][C]4764[/C][C]4029.17[/C][C]6430.31[/C][C]-2401.15[/C][C]734.835[/C][/ROW]
[ROW][C]91[/C][C]4522.5[/C][C]3503.86[/C][C]6414.58[/C][C]-2910.72[/C][C]1018.64[/C][/ROW]
[ROW][C]92[/C][C]9056.5[/C][C]9082.94[/C][C]6384.25[/C][C]2698.69[/C][C]-26.4362[/C][/ROW]
[ROW][C]93[/C][C]8352[/C][C]8649.87[/C][C]6323.98[/C][C]2325.89[/C][C]-297.867[/C][/ROW]
[ROW][C]94[/C][C]7683[/C][C]8143.97[/C][C]6238.75[/C][C]1905.22[/C][C]-460.972[/C][/ROW]
[ROW][C]95[/C][C]7319.5[/C][C]7650.12[/C][C]6145.17[/C][C]1504.95[/C][C]-330.617[/C][/ROW]
[ROW][C]96[/C][C]6708[/C][C]7004.51[/C][C]6035.23[/C][C]969.284[/C][C]-296.513[/C][/ROW]
[ROW][C]97[/C][C]6204.5[/C][C]6247.83[/C][C]5885.04[/C][C]362.788[/C][C]-43.3297[/C][/ROW]
[ROW][C]98[/C][C]5576.5[/C][C]5527.42[/C][C]5757.79[/C][C]-230.376[/C][C]49.0846[/C][/ROW]
[ROW][C]99[/C][C]4776.5[/C][C]4816.28[/C][C]5709.62[/C][C]-893.349[/C][C]-39.7765[/C][/ROW]
[ROW][C]100[/C][C]4279.5[/C][C]4272.3[/C][C]5704.48[/C][C]-1432.18[/C][C]7.205[/C][/ROW]
[ROW][C]101[/C][C]3918[/C][C]3813.75[/C][C]5712.79[/C][C]-1899.04[/C][C]104.251[/C][/ROW]
[ROW][C]102[/C][C]3288.5[/C][C]3321.85[/C][C]5723[/C][C]-2401.15[/C][C]-33.3529[/C][/ROW]
[ROW][C]103[/C][C]2393.5[/C][C]2818.34[/C][C]5729.06[/C][C]-2910.72[/C][C]-424.842[/C][/ROW]
[ROW][C]104[/C][C]8131.5[/C][C]8429.35[/C][C]5730.67[/C][C]2698.69[/C][C]-297.853[/C][/ROW]
[ROW][C]105[/C][C]8121[/C][C]8061.76[/C][C]5735.87[/C][C]2325.89[/C][C]59.2367[/C][/ROW]
[ROW][C]106[/C][C]7790.5[/C][C]7645.39[/C][C]5740.17[/C][C]1905.22[/C][C]145.112[/C][/ROW]
[ROW][C]107[/C][C]7411.5[/C][C]7243.43[/C][C]5738.48[/C][C]1504.95[/C][C]168.07[/C][/ROW]
[ROW][C]108[/C][C]6861[/C][C]6704.87[/C][C]5735.58[/C][C]969.284[/C][C]156.133[/C][/ROW]
[ROW][C]109[/C][C]6197[/C][C]6117.66[/C][C]5754.88[/C][C]362.788[/C][C]79.3369[/C][/ROW]
[ROW][C]110[/C][C]5622.5[/C][C]5600.46[/C][C]5830.83[/C][C]-230.376[/C][C]22.043[/C][/ROW]
[ROW][C]111[/C][C]4855.5[/C][C]5033.11[/C][C]5926.46[/C][C]-893.349[/C][C]-177.61[/C][/ROW]
[ROW][C]112[/C][C]4303.5[/C][C]4578.73[/C][C]6010.92[/C][C]-1432.18[/C][C]-275.233[/C][/ROW]
[ROW][C]113[/C][C]3853.5[/C][C]4204.92[/C][C]6103.96[/C][C]-1899.04[/C][C]-351.415[/C][/ROW]
[ROW][C]114[/C][C]3283.5[/C][C]3799.31[/C][C]6200.46[/C][C]-2401.15[/C][C]-515.811[/C][/ROW]
[ROW][C]115[/C][C]2861.5[/C][C]3388.8[/C][C]6299.52[/C][C]-2910.72[/C][C]-527.301[/C][/ROW]
[ROW][C]116[/C][C]9486.5[/C][C]9099.77[/C][C]6401.08[/C][C]2698.69[/C][C]386.73[/C][/ROW]
[ROW][C]117[/C][C]9061[/C][C]8833.18[/C][C]6507.29[/C][C]2325.89[/C][C]227.82[/C][/ROW]
[ROW][C]118[/C][C]8877.5[/C][C]8510.72[/C][C]6605.5[/C][C]1905.22[/C][C]366.778[/C][/ROW]
[ROW][C]119[/C][C]8557.5[/C][C]8200.45[/C][C]6695.5[/C][C]1504.95[/C][C]357.049[/C][/ROW]
[ROW][C]120[/C][C]8031[/C][C]7753.47[/C][C]6784.19[/C][C]969.284[/C][C]277.528[/C][/ROW]
[ROW][C]121[/C][C]7404.5[/C][C]NA[/C][C]NA[/C][C]362.788[/C][C]NA[/C][/ROW]
[ROW][C]122[/C][C]6852.5[/C][C]NA[/C][C]NA[/C][C]-230.376[/C][C]NA[/C][/ROW]
[ROW][C]123[/C][C]6174.5[/C][C]NA[/C][C]NA[/C][C]-893.349[/C][C]NA[/C][/ROW]
[ROW][C]124[/C][C]5341.5[/C][C]NA[/C][C]NA[/C][C]-1432.18[/C][C]NA[/C][/ROW]
[ROW][C]125[/C][C]4975.5[/C][C]NA[/C][C]NA[/C][C]-1899.04[/C][C]NA[/C][/ROW]
[ROW][C]126[/C][C]4290[/C][C]NA[/C][C]NA[/C][C]-2401.15[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=298056&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298056&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
15033NANA362.788NA
24509.5NANA-230.376NA
33970NANA-893.349NA
43378NANA-1432.18NA
52866NANA-1899.04NA
62315.5NANA-2401.15NA
718952244.185154.9-2910.72-349.176
88401.57895.875197.192698.69505.626
980407543.125217.232325.89496.883
1075347122.975217.751905.22411.028
117135.56707.935202.981504.95427.57
126466.56148.055178.77969.284318.445
135661.55512.815150.02362.788148.691
1448964830.565060.94-230.37665.4388
154064.54018.634911.98-893.34945.8693
1632963318.194750.38-1432.18-22.1908
172593.52682.174581.21-1899.04-88.6654
1820072020.234421.38-2401.15-13.2279
191513.51371.764282.48-2910.72141.741
2066456864.794166.12698.69-219.79
216221.56392.374066.482325.89-170.867
2254745893.033987.811905.22-419.034
235135.55437.283932.331504.95-301.784
244630.54862.553893.27969.284-232.055
2541644230.453867.67362.788-66.4547
263600.53704.963935.33-230.376-104.457
2729693199.574092.92-893.349-230.568
282503.52839.154271.33-1432.18-335.649
292054.52566.374465.42-1899.04-511.874
301608.52254.944656.08-2401.15-646.436
311297.51927.764838.48-2910.72-630.259
3284857713.465014.772698.69771.543
338163.57514.515188.622325.89648.987
3478147262.415357.191905.22551.591
357453.57028.335523.381504.95425.174
366888.56658.515689.23969.284229.987
376283.56213.625850.83362.78869.8786
3857125687.045917.42-230.37624.9596
3950305013.735907.08-893.34916.2652
4044884479.385911.56-1432.188.62166
414058.54017.295916.33-1899.0441.2096
4235853527.295928.44-2401.1557.7096
433199.53041.035951.75-2910.72158.47
4481818685.295986.62698.69-504.29
458219.58361.416035.522325.89-141.909
467865.57997.436092.211905.22-131.93
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Parameters (Session):
par1 = 12 ; par2 = 18 ; par3 = BFGS ;
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')