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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 11:01:20 +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/t148110511661zigfyxnpfq3s8.htm/, Retrieved Tue, 07 May 2024 18:46:14 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=297947, Retrieved Tue, 07 May 2024 18:46:14 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact103
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 10:01:20] [86c9a777e8dbb7ef3face68c75fc8376] [Current]
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Dataseries X:
150
114
258
282
882
1302
2736
2484
1800
3468
5526
5766
6162
6132
6240
5904
5922
8460
7896
7290
6552
8442
9570
9312
6588
6084
11298
9798
14400
13734
13482
14814
13548
15516
15480
10488
14262
14946
14166
11544
10194
11850
12702
18222
19560
19494
15282
11034
8772
7110
6312
7080
7080
8226
7614
7326
7422
8886
7698
8634
5460
9744
12330
12870
9264
9822
21126
13050
13938
10764
8886
10830
7308
18336
17484
20082
16308
18600
19794
24114
24708
22482
21288
15870
10734
11142
13080
13098
18282
15678
6096
7854
9342
9162
7092
4692
4764
3852
9456
5490
6528
9306
9018
5964
5856
20574
7704
4464
9258
6240
9354
11916
13026
10062
7638
8844
13476
19074
16896
21162
16014
13746
14550
13146
11022
10386




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=297947&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=297947&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=297947&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
1150NANA-2687.33NA
2114NANA-1597.46NA
3258NANA111.702NA
4282NANA-229.937NA
5882NANA3.17407NA
61302NANA405.257NA
727362575.622314.5261.124160.376
824843139.972815.75324.224-655.974
918004147.623315.75831.874-2347.62
1034686683.973799.252884.72-3215.97
1155264788.374243.5544.874737.626
1257663899.524751.75-852.2261866.48
1361622577.675265-2687.333584.33
1461324082.795680.25-1597.462049.21
1562406190.26078.5111.70249.7981
1659046253.816483.75-229.937-349.813
1759226862.676859.53.17407-940.674
1884607581.017175.75405.257878.993
1978967602.377341.25261.124293.626
2072907681.227357324.224-391.224
2165528397.627565.75831.874-1845.62
22844210823.57938.752884.72-2381.47
2395708999.128454.25544.874570.876
2493128175.029027.25-852.2261136.98
2565886792.429479.75-2687.33-204.424
2660848428.5410026-1597.46-2344.54
271129810742.710631111.702555.298
28979810987.311217.2-229.937-1189.31
291440011761.411758.23.174072638.58
301373412458.812053.5405.2571275.24
311348212683.412422.2261.124798.626
321481413435.513111.2324.2241378.53
331354814431.913600831.874-883.874
34155161667713792.22884.72-1160.97
351548014234.613689.8544.8741245.38
361048812583.813436-852.226-2095.77
371426210637.713325-2687.333624.33
38149461183713434.5-1597.463108.96
391416613938.713827111.702227.298
401154414013.314243.2-229.937-2469.31
411019414403.914400.83.17407-4209.92
421185014820.514415.2405.257-2970.51
431270214470.414209.2261.124-1768.37
441822213978.213654324.2244243.78
451956013832.113000.2831.8745727.88
461949415371.7124872884.724122.28
471528212716.112171.2544.8742565.88
481103411038.311890.5-852.226-4.27407
4987728840.1711527.5-2687.33-68.1741
5071109264.0410861.5-1597.46-2154.04
51631210013.59901.75111.702-3701.45
5270808724.068954-229.937-1644.06
5370808199.1781963.17407-1119.17
5482268185.267780405.25740.7426
5576147803.127542261.124-189.124
5673267837.977513.75324.224-511.974
5774228706.127874.25831.874-1284.12
588886112518366.252884.72-2364.97
5976989243.378698.5544.874-1545.37
6086348003.778856-852.226630.226
6154606798.179485.5-2687.33-1338.17
6297448689.5410287-1597.461054.46
631233010908.710797111.7021421.3
641287010916.811146.8-229.9371953.19
65926411277.711274.53.17407-2013.67
66982211820.811415.5405.257-1998.76
672112611845.111584261.1249280.88
681305012343.212019324.224706.776
691393813423.612591.8831.874514.376
701076415991.7131072884.72-5227.72
71888614245.913701544.874-5359.87
72108301350814360.2-852.226-2678.02
73730811983.214670.5-2687.33-4675.17
741833613478.515076-1597.464857.46
751748416097.515985.8111.7021386.55
762008216692.816922.8-229.9373389.19
771630817930.917927.83.17407-1622.92
781860019059.818654.5405.257-459.757
791979419268.419007.2261.124525.626
802411419174.518850.2324.2244939.53
812470819198.918367831.8745509.13
822248220777.217892.52884.721704.78
832128818228.617683.8544.8743059.38
84158701679217644.2-852.226-922.024
851073414264.416951.8-2687.33-3530.42
86111421410615703.5-1597.46-2964.04
871308014497.514385.8111.702-1417.45
881309812960.613190.5-229.937137.437
891828212047.2120443.174076234.83
90156781139210986.8405.2574285.99
91609610533.410272.2261.124-4437.37
927854100449719.75324.224-2189.97
93934210096.99265831.874-754.874
94916211681.787972884.72-2519.72
9570928535.127990.25544.874-1443.12
9646926382.777235-852.226-1690.77
9747644403.927091.25-2687.33360.076
9838525536.797134.25-1597.46-1684.79
9994567021.956910.25111.7022434.05
10054907010.567240.5-229.937-1520.56
10165287744.677741.53.17407-1216.67
10293068162.767757.5405.2571143.24
10390188196.377935.25261.124821.626
10459648546.228222324.224-2582.22
10558569149.128317.25831.874-3293.12
1062057411465.58580.752884.729108.53
10777049664.129119.25544.874-1960.12
10844648569.279421.5-852.226-4105.27
10992586708.179395.5-2687.332549.83
11062407860.549458-1597.46-1620.54
111935410007.29895.5111.702-653.202
112119169920.5610150.5-229.9371995.44
1131302610474.2104713.174072551.83
114100621195511549.8405.257-1893.01
115763812788.112527261.124-5150.12
116884413445.513121.2324.224-4601.47
1171347614482.413650.5831.874-1006.37
118190741680313918.22884.722271.03
1191689614430.913886544.8742465.13
1202116212963.813816-852.2268198.23
12116014NANA-2687.33NA
12213746NANA-1597.46NA
12314550NANA111.702NA
12413146NANA-229.937NA
12511022NANA3.17407NA
12610386NANA405.257NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 150 & NA & NA & -2687.33 & NA \tabularnewline
2 & 114 & NA & NA & -1597.46 & NA \tabularnewline
3 & 258 & NA & NA & 111.702 & NA \tabularnewline
4 & 282 & NA & NA & -229.937 & NA \tabularnewline
5 & 882 & NA & NA & 3.17407 & NA \tabularnewline
6 & 1302 & NA & NA & 405.257 & NA \tabularnewline
7 & 2736 & 2575.62 & 2314.5 & 261.124 & 160.376 \tabularnewline
8 & 2484 & 3139.97 & 2815.75 & 324.224 & -655.974 \tabularnewline
9 & 1800 & 4147.62 & 3315.75 & 831.874 & -2347.62 \tabularnewline
10 & 3468 & 6683.97 & 3799.25 & 2884.72 & -3215.97 \tabularnewline
11 & 5526 & 4788.37 & 4243.5 & 544.874 & 737.626 \tabularnewline
12 & 5766 & 3899.52 & 4751.75 & -852.226 & 1866.48 \tabularnewline
13 & 6162 & 2577.67 & 5265 & -2687.33 & 3584.33 \tabularnewline
14 & 6132 & 4082.79 & 5680.25 & -1597.46 & 2049.21 \tabularnewline
15 & 6240 & 6190.2 & 6078.5 & 111.702 & 49.7981 \tabularnewline
16 & 5904 & 6253.81 & 6483.75 & -229.937 & -349.813 \tabularnewline
17 & 5922 & 6862.67 & 6859.5 & 3.17407 & -940.674 \tabularnewline
18 & 8460 & 7581.01 & 7175.75 & 405.257 & 878.993 \tabularnewline
19 & 7896 & 7602.37 & 7341.25 & 261.124 & 293.626 \tabularnewline
20 & 7290 & 7681.22 & 7357 & 324.224 & -391.224 \tabularnewline
21 & 6552 & 8397.62 & 7565.75 & 831.874 & -1845.62 \tabularnewline
22 & 8442 & 10823.5 & 7938.75 & 2884.72 & -2381.47 \tabularnewline
23 & 9570 & 8999.12 & 8454.25 & 544.874 & 570.876 \tabularnewline
24 & 9312 & 8175.02 & 9027.25 & -852.226 & 1136.98 \tabularnewline
25 & 6588 & 6792.42 & 9479.75 & -2687.33 & -204.424 \tabularnewline
26 & 6084 & 8428.54 & 10026 & -1597.46 & -2344.54 \tabularnewline
27 & 11298 & 10742.7 & 10631 & 111.702 & 555.298 \tabularnewline
28 & 9798 & 10987.3 & 11217.2 & -229.937 & -1189.31 \tabularnewline
29 & 14400 & 11761.4 & 11758.2 & 3.17407 & 2638.58 \tabularnewline
30 & 13734 & 12458.8 & 12053.5 & 405.257 & 1275.24 \tabularnewline
31 & 13482 & 12683.4 & 12422.2 & 261.124 & 798.626 \tabularnewline
32 & 14814 & 13435.5 & 13111.2 & 324.224 & 1378.53 \tabularnewline
33 & 13548 & 14431.9 & 13600 & 831.874 & -883.874 \tabularnewline
34 & 15516 & 16677 & 13792.2 & 2884.72 & -1160.97 \tabularnewline
35 & 15480 & 14234.6 & 13689.8 & 544.874 & 1245.38 \tabularnewline
36 & 10488 & 12583.8 & 13436 & -852.226 & -2095.77 \tabularnewline
37 & 14262 & 10637.7 & 13325 & -2687.33 & 3624.33 \tabularnewline
38 & 14946 & 11837 & 13434.5 & -1597.46 & 3108.96 \tabularnewline
39 & 14166 & 13938.7 & 13827 & 111.702 & 227.298 \tabularnewline
40 & 11544 & 14013.3 & 14243.2 & -229.937 & -2469.31 \tabularnewline
41 & 10194 & 14403.9 & 14400.8 & 3.17407 & -4209.92 \tabularnewline
42 & 11850 & 14820.5 & 14415.2 & 405.257 & -2970.51 \tabularnewline
43 & 12702 & 14470.4 & 14209.2 & 261.124 & -1768.37 \tabularnewline
44 & 18222 & 13978.2 & 13654 & 324.224 & 4243.78 \tabularnewline
45 & 19560 & 13832.1 & 13000.2 & 831.874 & 5727.88 \tabularnewline
46 & 19494 & 15371.7 & 12487 & 2884.72 & 4122.28 \tabularnewline
47 & 15282 & 12716.1 & 12171.2 & 544.874 & 2565.88 \tabularnewline
48 & 11034 & 11038.3 & 11890.5 & -852.226 & -4.27407 \tabularnewline
49 & 8772 & 8840.17 & 11527.5 & -2687.33 & -68.1741 \tabularnewline
50 & 7110 & 9264.04 & 10861.5 & -1597.46 & -2154.04 \tabularnewline
51 & 6312 & 10013.5 & 9901.75 & 111.702 & -3701.45 \tabularnewline
52 & 7080 & 8724.06 & 8954 & -229.937 & -1644.06 \tabularnewline
53 & 7080 & 8199.17 & 8196 & 3.17407 & -1119.17 \tabularnewline
54 & 8226 & 8185.26 & 7780 & 405.257 & 40.7426 \tabularnewline
55 & 7614 & 7803.12 & 7542 & 261.124 & -189.124 \tabularnewline
56 & 7326 & 7837.97 & 7513.75 & 324.224 & -511.974 \tabularnewline
57 & 7422 & 8706.12 & 7874.25 & 831.874 & -1284.12 \tabularnewline
58 & 8886 & 11251 & 8366.25 & 2884.72 & -2364.97 \tabularnewline
59 & 7698 & 9243.37 & 8698.5 & 544.874 & -1545.37 \tabularnewline
60 & 8634 & 8003.77 & 8856 & -852.226 & 630.226 \tabularnewline
61 & 5460 & 6798.17 & 9485.5 & -2687.33 & -1338.17 \tabularnewline
62 & 9744 & 8689.54 & 10287 & -1597.46 & 1054.46 \tabularnewline
63 & 12330 & 10908.7 & 10797 & 111.702 & 1421.3 \tabularnewline
64 & 12870 & 10916.8 & 11146.8 & -229.937 & 1953.19 \tabularnewline
65 & 9264 & 11277.7 & 11274.5 & 3.17407 & -2013.67 \tabularnewline
66 & 9822 & 11820.8 & 11415.5 & 405.257 & -1998.76 \tabularnewline
67 & 21126 & 11845.1 & 11584 & 261.124 & 9280.88 \tabularnewline
68 & 13050 & 12343.2 & 12019 & 324.224 & 706.776 \tabularnewline
69 & 13938 & 13423.6 & 12591.8 & 831.874 & 514.376 \tabularnewline
70 & 10764 & 15991.7 & 13107 & 2884.72 & -5227.72 \tabularnewline
71 & 8886 & 14245.9 & 13701 & 544.874 & -5359.87 \tabularnewline
72 & 10830 & 13508 & 14360.2 & -852.226 & -2678.02 \tabularnewline
73 & 7308 & 11983.2 & 14670.5 & -2687.33 & -4675.17 \tabularnewline
74 & 18336 & 13478.5 & 15076 & -1597.46 & 4857.46 \tabularnewline
75 & 17484 & 16097.5 & 15985.8 & 111.702 & 1386.55 \tabularnewline
76 & 20082 & 16692.8 & 16922.8 & -229.937 & 3389.19 \tabularnewline
77 & 16308 & 17930.9 & 17927.8 & 3.17407 & -1622.92 \tabularnewline
78 & 18600 & 19059.8 & 18654.5 & 405.257 & -459.757 \tabularnewline
79 & 19794 & 19268.4 & 19007.2 & 261.124 & 525.626 \tabularnewline
80 & 24114 & 19174.5 & 18850.2 & 324.224 & 4939.53 \tabularnewline
81 & 24708 & 19198.9 & 18367 & 831.874 & 5509.13 \tabularnewline
82 & 22482 & 20777.2 & 17892.5 & 2884.72 & 1704.78 \tabularnewline
83 & 21288 & 18228.6 & 17683.8 & 544.874 & 3059.38 \tabularnewline
84 & 15870 & 16792 & 17644.2 & -852.226 & -922.024 \tabularnewline
85 & 10734 & 14264.4 & 16951.8 & -2687.33 & -3530.42 \tabularnewline
86 & 11142 & 14106 & 15703.5 & -1597.46 & -2964.04 \tabularnewline
87 & 13080 & 14497.5 & 14385.8 & 111.702 & -1417.45 \tabularnewline
88 & 13098 & 12960.6 & 13190.5 & -229.937 & 137.437 \tabularnewline
89 & 18282 & 12047.2 & 12044 & 3.17407 & 6234.83 \tabularnewline
90 & 15678 & 11392 & 10986.8 & 405.257 & 4285.99 \tabularnewline
91 & 6096 & 10533.4 & 10272.2 & 261.124 & -4437.37 \tabularnewline
92 & 7854 & 10044 & 9719.75 & 324.224 & -2189.97 \tabularnewline
93 & 9342 & 10096.9 & 9265 & 831.874 & -754.874 \tabularnewline
94 & 9162 & 11681.7 & 8797 & 2884.72 & -2519.72 \tabularnewline
95 & 7092 & 8535.12 & 7990.25 & 544.874 & -1443.12 \tabularnewline
96 & 4692 & 6382.77 & 7235 & -852.226 & -1690.77 \tabularnewline
97 & 4764 & 4403.92 & 7091.25 & -2687.33 & 360.076 \tabularnewline
98 & 3852 & 5536.79 & 7134.25 & -1597.46 & -1684.79 \tabularnewline
99 & 9456 & 7021.95 & 6910.25 & 111.702 & 2434.05 \tabularnewline
100 & 5490 & 7010.56 & 7240.5 & -229.937 & -1520.56 \tabularnewline
101 & 6528 & 7744.67 & 7741.5 & 3.17407 & -1216.67 \tabularnewline
102 & 9306 & 8162.76 & 7757.5 & 405.257 & 1143.24 \tabularnewline
103 & 9018 & 8196.37 & 7935.25 & 261.124 & 821.626 \tabularnewline
104 & 5964 & 8546.22 & 8222 & 324.224 & -2582.22 \tabularnewline
105 & 5856 & 9149.12 & 8317.25 & 831.874 & -3293.12 \tabularnewline
106 & 20574 & 11465.5 & 8580.75 & 2884.72 & 9108.53 \tabularnewline
107 & 7704 & 9664.12 & 9119.25 & 544.874 & -1960.12 \tabularnewline
108 & 4464 & 8569.27 & 9421.5 & -852.226 & -4105.27 \tabularnewline
109 & 9258 & 6708.17 & 9395.5 & -2687.33 & 2549.83 \tabularnewline
110 & 6240 & 7860.54 & 9458 & -1597.46 & -1620.54 \tabularnewline
111 & 9354 & 10007.2 & 9895.5 & 111.702 & -653.202 \tabularnewline
112 & 11916 & 9920.56 & 10150.5 & -229.937 & 1995.44 \tabularnewline
113 & 13026 & 10474.2 & 10471 & 3.17407 & 2551.83 \tabularnewline
114 & 10062 & 11955 & 11549.8 & 405.257 & -1893.01 \tabularnewline
115 & 7638 & 12788.1 & 12527 & 261.124 & -5150.12 \tabularnewline
116 & 8844 & 13445.5 & 13121.2 & 324.224 & -4601.47 \tabularnewline
117 & 13476 & 14482.4 & 13650.5 & 831.874 & -1006.37 \tabularnewline
118 & 19074 & 16803 & 13918.2 & 2884.72 & 2271.03 \tabularnewline
119 & 16896 & 14430.9 & 13886 & 544.874 & 2465.13 \tabularnewline
120 & 21162 & 12963.8 & 13816 & -852.226 & 8198.23 \tabularnewline
121 & 16014 & NA & NA & -2687.33 & NA \tabularnewline
122 & 13746 & NA & NA & -1597.46 & NA \tabularnewline
123 & 14550 & NA & NA & 111.702 & NA \tabularnewline
124 & 13146 & NA & NA & -229.937 & NA \tabularnewline
125 & 11022 & NA & NA & 3.17407 & NA \tabularnewline
126 & 10386 & NA & NA & 405.257 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=297947&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]150[/C][C]NA[/C][C]NA[/C][C]-2687.33[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]114[/C][C]NA[/C][C]NA[/C][C]-1597.46[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]258[/C][C]NA[/C][C]NA[/C][C]111.702[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]282[/C][C]NA[/C][C]NA[/C][C]-229.937[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]882[/C][C]NA[/C][C]NA[/C][C]3.17407[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]1302[/C][C]NA[/C][C]NA[/C][C]405.257[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]2736[/C][C]2575.62[/C][C]2314.5[/C][C]261.124[/C][C]160.376[/C][/ROW]
[ROW][C]8[/C][C]2484[/C][C]3139.97[/C][C]2815.75[/C][C]324.224[/C][C]-655.974[/C][/ROW]
[ROW][C]9[/C][C]1800[/C][C]4147.62[/C][C]3315.75[/C][C]831.874[/C][C]-2347.62[/C][/ROW]
[ROW][C]10[/C][C]3468[/C][C]6683.97[/C][C]3799.25[/C][C]2884.72[/C][C]-3215.97[/C][/ROW]
[ROW][C]11[/C][C]5526[/C][C]4788.37[/C][C]4243.5[/C][C]544.874[/C][C]737.626[/C][/ROW]
[ROW][C]12[/C][C]5766[/C][C]3899.52[/C][C]4751.75[/C][C]-852.226[/C][C]1866.48[/C][/ROW]
[ROW][C]13[/C][C]6162[/C][C]2577.67[/C][C]5265[/C][C]-2687.33[/C][C]3584.33[/C][/ROW]
[ROW][C]14[/C][C]6132[/C][C]4082.79[/C][C]5680.25[/C][C]-1597.46[/C][C]2049.21[/C][/ROW]
[ROW][C]15[/C][C]6240[/C][C]6190.2[/C][C]6078.5[/C][C]111.702[/C][C]49.7981[/C][/ROW]
[ROW][C]16[/C][C]5904[/C][C]6253.81[/C][C]6483.75[/C][C]-229.937[/C][C]-349.813[/C][/ROW]
[ROW][C]17[/C][C]5922[/C][C]6862.67[/C][C]6859.5[/C][C]3.17407[/C][C]-940.674[/C][/ROW]
[ROW][C]18[/C][C]8460[/C][C]7581.01[/C][C]7175.75[/C][C]405.257[/C][C]878.993[/C][/ROW]
[ROW][C]19[/C][C]7896[/C][C]7602.37[/C][C]7341.25[/C][C]261.124[/C][C]293.626[/C][/ROW]
[ROW][C]20[/C][C]7290[/C][C]7681.22[/C][C]7357[/C][C]324.224[/C][C]-391.224[/C][/ROW]
[ROW][C]21[/C][C]6552[/C][C]8397.62[/C][C]7565.75[/C][C]831.874[/C][C]-1845.62[/C][/ROW]
[ROW][C]22[/C][C]8442[/C][C]10823.5[/C][C]7938.75[/C][C]2884.72[/C][C]-2381.47[/C][/ROW]
[ROW][C]23[/C][C]9570[/C][C]8999.12[/C][C]8454.25[/C][C]544.874[/C][C]570.876[/C][/ROW]
[ROW][C]24[/C][C]9312[/C][C]8175.02[/C][C]9027.25[/C][C]-852.226[/C][C]1136.98[/C][/ROW]
[ROW][C]25[/C][C]6588[/C][C]6792.42[/C][C]9479.75[/C][C]-2687.33[/C][C]-204.424[/C][/ROW]
[ROW][C]26[/C][C]6084[/C][C]8428.54[/C][C]10026[/C][C]-1597.46[/C][C]-2344.54[/C][/ROW]
[ROW][C]27[/C][C]11298[/C][C]10742.7[/C][C]10631[/C][C]111.702[/C][C]555.298[/C][/ROW]
[ROW][C]28[/C][C]9798[/C][C]10987.3[/C][C]11217.2[/C][C]-229.937[/C][C]-1189.31[/C][/ROW]
[ROW][C]29[/C][C]14400[/C][C]11761.4[/C][C]11758.2[/C][C]3.17407[/C][C]2638.58[/C][/ROW]
[ROW][C]30[/C][C]13734[/C][C]12458.8[/C][C]12053.5[/C][C]405.257[/C][C]1275.24[/C][/ROW]
[ROW][C]31[/C][C]13482[/C][C]12683.4[/C][C]12422.2[/C][C]261.124[/C][C]798.626[/C][/ROW]
[ROW][C]32[/C][C]14814[/C][C]13435.5[/C][C]13111.2[/C][C]324.224[/C][C]1378.53[/C][/ROW]
[ROW][C]33[/C][C]13548[/C][C]14431.9[/C][C]13600[/C][C]831.874[/C][C]-883.874[/C][/ROW]
[ROW][C]34[/C][C]15516[/C][C]16677[/C][C]13792.2[/C][C]2884.72[/C][C]-1160.97[/C][/ROW]
[ROW][C]35[/C][C]15480[/C][C]14234.6[/C][C]13689.8[/C][C]544.874[/C][C]1245.38[/C][/ROW]
[ROW][C]36[/C][C]10488[/C][C]12583.8[/C][C]13436[/C][C]-852.226[/C][C]-2095.77[/C][/ROW]
[ROW][C]37[/C][C]14262[/C][C]10637.7[/C][C]13325[/C][C]-2687.33[/C][C]3624.33[/C][/ROW]
[ROW][C]38[/C][C]14946[/C][C]11837[/C][C]13434.5[/C][C]-1597.46[/C][C]3108.96[/C][/ROW]
[ROW][C]39[/C][C]14166[/C][C]13938.7[/C][C]13827[/C][C]111.702[/C][C]227.298[/C][/ROW]
[ROW][C]40[/C][C]11544[/C][C]14013.3[/C][C]14243.2[/C][C]-229.937[/C][C]-2469.31[/C][/ROW]
[ROW][C]41[/C][C]10194[/C][C]14403.9[/C][C]14400.8[/C][C]3.17407[/C][C]-4209.92[/C][/ROW]
[ROW][C]42[/C][C]11850[/C][C]14820.5[/C][C]14415.2[/C][C]405.257[/C][C]-2970.51[/C][/ROW]
[ROW][C]43[/C][C]12702[/C][C]14470.4[/C][C]14209.2[/C][C]261.124[/C][C]-1768.37[/C][/ROW]
[ROW][C]44[/C][C]18222[/C][C]13978.2[/C][C]13654[/C][C]324.224[/C][C]4243.78[/C][/ROW]
[ROW][C]45[/C][C]19560[/C][C]13832.1[/C][C]13000.2[/C][C]831.874[/C][C]5727.88[/C][/ROW]
[ROW][C]46[/C][C]19494[/C][C]15371.7[/C][C]12487[/C][C]2884.72[/C][C]4122.28[/C][/ROW]
[ROW][C]47[/C][C]15282[/C][C]12716.1[/C][C]12171.2[/C][C]544.874[/C][C]2565.88[/C][/ROW]
[ROW][C]48[/C][C]11034[/C][C]11038.3[/C][C]11890.5[/C][C]-852.226[/C][C]-4.27407[/C][/ROW]
[ROW][C]49[/C][C]8772[/C][C]8840.17[/C][C]11527.5[/C][C]-2687.33[/C][C]-68.1741[/C][/ROW]
[ROW][C]50[/C][C]7110[/C][C]9264.04[/C][C]10861.5[/C][C]-1597.46[/C][C]-2154.04[/C][/ROW]
[ROW][C]51[/C][C]6312[/C][C]10013.5[/C][C]9901.75[/C][C]111.702[/C][C]-3701.45[/C][/ROW]
[ROW][C]52[/C][C]7080[/C][C]8724.06[/C][C]8954[/C][C]-229.937[/C][C]-1644.06[/C][/ROW]
[ROW][C]53[/C][C]7080[/C][C]8199.17[/C][C]8196[/C][C]3.17407[/C][C]-1119.17[/C][/ROW]
[ROW][C]54[/C][C]8226[/C][C]8185.26[/C][C]7780[/C][C]405.257[/C][C]40.7426[/C][/ROW]
[ROW][C]55[/C][C]7614[/C][C]7803.12[/C][C]7542[/C][C]261.124[/C][C]-189.124[/C][/ROW]
[ROW][C]56[/C][C]7326[/C][C]7837.97[/C][C]7513.75[/C][C]324.224[/C][C]-511.974[/C][/ROW]
[ROW][C]57[/C][C]7422[/C][C]8706.12[/C][C]7874.25[/C][C]831.874[/C][C]-1284.12[/C][/ROW]
[ROW][C]58[/C][C]8886[/C][C]11251[/C][C]8366.25[/C][C]2884.72[/C][C]-2364.97[/C][/ROW]
[ROW][C]59[/C][C]7698[/C][C]9243.37[/C][C]8698.5[/C][C]544.874[/C][C]-1545.37[/C][/ROW]
[ROW][C]60[/C][C]8634[/C][C]8003.77[/C][C]8856[/C][C]-852.226[/C][C]630.226[/C][/ROW]
[ROW][C]61[/C][C]5460[/C][C]6798.17[/C][C]9485.5[/C][C]-2687.33[/C][C]-1338.17[/C][/ROW]
[ROW][C]62[/C][C]9744[/C][C]8689.54[/C][C]10287[/C][C]-1597.46[/C][C]1054.46[/C][/ROW]
[ROW][C]63[/C][C]12330[/C][C]10908.7[/C][C]10797[/C][C]111.702[/C][C]1421.3[/C][/ROW]
[ROW][C]64[/C][C]12870[/C][C]10916.8[/C][C]11146.8[/C][C]-229.937[/C][C]1953.19[/C][/ROW]
[ROW][C]65[/C][C]9264[/C][C]11277.7[/C][C]11274.5[/C][C]3.17407[/C][C]-2013.67[/C][/ROW]
[ROW][C]66[/C][C]9822[/C][C]11820.8[/C][C]11415.5[/C][C]405.257[/C][C]-1998.76[/C][/ROW]
[ROW][C]67[/C][C]21126[/C][C]11845.1[/C][C]11584[/C][C]261.124[/C][C]9280.88[/C][/ROW]
[ROW][C]68[/C][C]13050[/C][C]12343.2[/C][C]12019[/C][C]324.224[/C][C]706.776[/C][/ROW]
[ROW][C]69[/C][C]13938[/C][C]13423.6[/C][C]12591.8[/C][C]831.874[/C][C]514.376[/C][/ROW]
[ROW][C]70[/C][C]10764[/C][C]15991.7[/C][C]13107[/C][C]2884.72[/C][C]-5227.72[/C][/ROW]
[ROW][C]71[/C][C]8886[/C][C]14245.9[/C][C]13701[/C][C]544.874[/C][C]-5359.87[/C][/ROW]
[ROW][C]72[/C][C]10830[/C][C]13508[/C][C]14360.2[/C][C]-852.226[/C][C]-2678.02[/C][/ROW]
[ROW][C]73[/C][C]7308[/C][C]11983.2[/C][C]14670.5[/C][C]-2687.33[/C][C]-4675.17[/C][/ROW]
[ROW][C]74[/C][C]18336[/C][C]13478.5[/C][C]15076[/C][C]-1597.46[/C][C]4857.46[/C][/ROW]
[ROW][C]75[/C][C]17484[/C][C]16097.5[/C][C]15985.8[/C][C]111.702[/C][C]1386.55[/C][/ROW]
[ROW][C]76[/C][C]20082[/C][C]16692.8[/C][C]16922.8[/C][C]-229.937[/C][C]3389.19[/C][/ROW]
[ROW][C]77[/C][C]16308[/C][C]17930.9[/C][C]17927.8[/C][C]3.17407[/C][C]-1622.92[/C][/ROW]
[ROW][C]78[/C][C]18600[/C][C]19059.8[/C][C]18654.5[/C][C]405.257[/C][C]-459.757[/C][/ROW]
[ROW][C]79[/C][C]19794[/C][C]19268.4[/C][C]19007.2[/C][C]261.124[/C][C]525.626[/C][/ROW]
[ROW][C]80[/C][C]24114[/C][C]19174.5[/C][C]18850.2[/C][C]324.224[/C][C]4939.53[/C][/ROW]
[ROW][C]81[/C][C]24708[/C][C]19198.9[/C][C]18367[/C][C]831.874[/C][C]5509.13[/C][/ROW]
[ROW][C]82[/C][C]22482[/C][C]20777.2[/C][C]17892.5[/C][C]2884.72[/C][C]1704.78[/C][/ROW]
[ROW][C]83[/C][C]21288[/C][C]18228.6[/C][C]17683.8[/C][C]544.874[/C][C]3059.38[/C][/ROW]
[ROW][C]84[/C][C]15870[/C][C]16792[/C][C]17644.2[/C][C]-852.226[/C][C]-922.024[/C][/ROW]
[ROW][C]85[/C][C]10734[/C][C]14264.4[/C][C]16951.8[/C][C]-2687.33[/C][C]-3530.42[/C][/ROW]
[ROW][C]86[/C][C]11142[/C][C]14106[/C][C]15703.5[/C][C]-1597.46[/C][C]-2964.04[/C][/ROW]
[ROW][C]87[/C][C]13080[/C][C]14497.5[/C][C]14385.8[/C][C]111.702[/C][C]-1417.45[/C][/ROW]
[ROW][C]88[/C][C]13098[/C][C]12960.6[/C][C]13190.5[/C][C]-229.937[/C][C]137.437[/C][/ROW]
[ROW][C]89[/C][C]18282[/C][C]12047.2[/C][C]12044[/C][C]3.17407[/C][C]6234.83[/C][/ROW]
[ROW][C]90[/C][C]15678[/C][C]11392[/C][C]10986.8[/C][C]405.257[/C][C]4285.99[/C][/ROW]
[ROW][C]91[/C][C]6096[/C][C]10533.4[/C][C]10272.2[/C][C]261.124[/C][C]-4437.37[/C][/ROW]
[ROW][C]92[/C][C]7854[/C][C]10044[/C][C]9719.75[/C][C]324.224[/C][C]-2189.97[/C][/ROW]
[ROW][C]93[/C][C]9342[/C][C]10096.9[/C][C]9265[/C][C]831.874[/C][C]-754.874[/C][/ROW]
[ROW][C]94[/C][C]9162[/C][C]11681.7[/C][C]8797[/C][C]2884.72[/C][C]-2519.72[/C][/ROW]
[ROW][C]95[/C][C]7092[/C][C]8535.12[/C][C]7990.25[/C][C]544.874[/C][C]-1443.12[/C][/ROW]
[ROW][C]96[/C][C]4692[/C][C]6382.77[/C][C]7235[/C][C]-852.226[/C][C]-1690.77[/C][/ROW]
[ROW][C]97[/C][C]4764[/C][C]4403.92[/C][C]7091.25[/C][C]-2687.33[/C][C]360.076[/C][/ROW]
[ROW][C]98[/C][C]3852[/C][C]5536.79[/C][C]7134.25[/C][C]-1597.46[/C][C]-1684.79[/C][/ROW]
[ROW][C]99[/C][C]9456[/C][C]7021.95[/C][C]6910.25[/C][C]111.702[/C][C]2434.05[/C][/ROW]
[ROW][C]100[/C][C]5490[/C][C]7010.56[/C][C]7240.5[/C][C]-229.937[/C][C]-1520.56[/C][/ROW]
[ROW][C]101[/C][C]6528[/C][C]7744.67[/C][C]7741.5[/C][C]3.17407[/C][C]-1216.67[/C][/ROW]
[ROW][C]102[/C][C]9306[/C][C]8162.76[/C][C]7757.5[/C][C]405.257[/C][C]1143.24[/C][/ROW]
[ROW][C]103[/C][C]9018[/C][C]8196.37[/C][C]7935.25[/C][C]261.124[/C][C]821.626[/C][/ROW]
[ROW][C]104[/C][C]5964[/C][C]8546.22[/C][C]8222[/C][C]324.224[/C][C]-2582.22[/C][/ROW]
[ROW][C]105[/C][C]5856[/C][C]9149.12[/C][C]8317.25[/C][C]831.874[/C][C]-3293.12[/C][/ROW]
[ROW][C]106[/C][C]20574[/C][C]11465.5[/C][C]8580.75[/C][C]2884.72[/C][C]9108.53[/C][/ROW]
[ROW][C]107[/C][C]7704[/C][C]9664.12[/C][C]9119.25[/C][C]544.874[/C][C]-1960.12[/C][/ROW]
[ROW][C]108[/C][C]4464[/C][C]8569.27[/C][C]9421.5[/C][C]-852.226[/C][C]-4105.27[/C][/ROW]
[ROW][C]109[/C][C]9258[/C][C]6708.17[/C][C]9395.5[/C][C]-2687.33[/C][C]2549.83[/C][/ROW]
[ROW][C]110[/C][C]6240[/C][C]7860.54[/C][C]9458[/C][C]-1597.46[/C][C]-1620.54[/C][/ROW]
[ROW][C]111[/C][C]9354[/C][C]10007.2[/C][C]9895.5[/C][C]111.702[/C][C]-653.202[/C][/ROW]
[ROW][C]112[/C][C]11916[/C][C]9920.56[/C][C]10150.5[/C][C]-229.937[/C][C]1995.44[/C][/ROW]
[ROW][C]113[/C][C]13026[/C][C]10474.2[/C][C]10471[/C][C]3.17407[/C][C]2551.83[/C][/ROW]
[ROW][C]114[/C][C]10062[/C][C]11955[/C][C]11549.8[/C][C]405.257[/C][C]-1893.01[/C][/ROW]
[ROW][C]115[/C][C]7638[/C][C]12788.1[/C][C]12527[/C][C]261.124[/C][C]-5150.12[/C][/ROW]
[ROW][C]116[/C][C]8844[/C][C]13445.5[/C][C]13121.2[/C][C]324.224[/C][C]-4601.47[/C][/ROW]
[ROW][C]117[/C][C]13476[/C][C]14482.4[/C][C]13650.5[/C][C]831.874[/C][C]-1006.37[/C][/ROW]
[ROW][C]118[/C][C]19074[/C][C]16803[/C][C]13918.2[/C][C]2884.72[/C][C]2271.03[/C][/ROW]
[ROW][C]119[/C][C]16896[/C][C]14430.9[/C][C]13886[/C][C]544.874[/C][C]2465.13[/C][/ROW]
[ROW][C]120[/C][C]21162[/C][C]12963.8[/C][C]13816[/C][C]-852.226[/C][C]8198.23[/C][/ROW]
[ROW][C]121[/C][C]16014[/C][C]NA[/C][C]NA[/C][C]-2687.33[/C][C]NA[/C][/ROW]
[ROW][C]122[/C][C]13746[/C][C]NA[/C][C]NA[/C][C]-1597.46[/C][C]NA[/C][/ROW]
[ROW][C]123[/C][C]14550[/C][C]NA[/C][C]NA[/C][C]111.702[/C][C]NA[/C][/ROW]
[ROW][C]124[/C][C]13146[/C][C]NA[/C][C]NA[/C][C]-229.937[/C][C]NA[/C][/ROW]
[ROW][C]125[/C][C]11022[/C][C]NA[/C][C]NA[/C][C]3.17407[/C][C]NA[/C][/ROW]
[ROW][C]126[/C][C]10386[/C][C]NA[/C][C]NA[/C][C]405.257[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=297947&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=297947&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
1150NANA-2687.33NA
2114NANA-1597.46NA
3258NANA111.702NA
4282NANA-229.937NA
5882NANA3.17407NA
61302NANA405.257NA
727362575.622314.5261.124160.376
824843139.972815.75324.224-655.974
918004147.623315.75831.874-2347.62
1034686683.973799.252884.72-3215.97
1155264788.374243.5544.874737.626
1257663899.524751.75-852.2261866.48
1361622577.675265-2687.333584.33
1461324082.795680.25-1597.462049.21
1562406190.26078.5111.70249.7981
1659046253.816483.75-229.937-349.813
1759226862.676859.53.17407-940.674
1884607581.017175.75405.257878.993
1978967602.377341.25261.124293.626
2072907681.227357324.224-391.224
2165528397.627565.75831.874-1845.62
22844210823.57938.752884.72-2381.47
2395708999.128454.25544.874570.876
2493128175.029027.25-852.2261136.98
2565886792.429479.75-2687.33-204.424
2660848428.5410026-1597.46-2344.54
271129810742.710631111.702555.298
28979810987.311217.2-229.937-1189.31
291440011761.411758.23.174072638.58
301373412458.812053.5405.2571275.24
311348212683.412422.2261.124798.626
321481413435.513111.2324.2241378.53
331354814431.913600831.874-883.874
34155161667713792.22884.72-1160.97
351548014234.613689.8544.8741245.38
361048812583.813436-852.226-2095.77
371426210637.713325-2687.333624.33
38149461183713434.5-1597.463108.96
391416613938.713827111.702227.298
401154414013.314243.2-229.937-2469.31
411019414403.914400.83.17407-4209.92
421185014820.514415.2405.257-2970.51
431270214470.414209.2261.124-1768.37
441822213978.213654324.2244243.78
451956013832.113000.2831.8745727.88
461949415371.7124872884.724122.28
471528212716.112171.2544.8742565.88
481103411038.311890.5-852.226-4.27407
4987728840.1711527.5-2687.33-68.1741
5071109264.0410861.5-1597.46-2154.04
51631210013.59901.75111.702-3701.45
5270808724.068954-229.937-1644.06
5370808199.1781963.17407-1119.17
5482268185.267780405.25740.7426
5576147803.127542261.124-189.124
5673267837.977513.75324.224-511.974
5774228706.127874.25831.874-1284.12
588886112518366.252884.72-2364.97
5976989243.378698.5544.874-1545.37
6086348003.778856-852.226630.226
6154606798.179485.5-2687.33-1338.17
6297448689.5410287-1597.461054.46
631233010908.710797111.7021421.3
641287010916.811146.8-229.9371953.19
65926411277.711274.53.17407-2013.67
66982211820.811415.5405.257-1998.76
672112611845.111584261.1249280.88
681305012343.212019324.224706.776
691393813423.612591.8831.874514.376
701076415991.7131072884.72-5227.72
71888614245.913701544.874-5359.87
72108301350814360.2-852.226-2678.02
73730811983.214670.5-2687.33-4675.17
741833613478.515076-1597.464857.46
751748416097.515985.8111.7021386.55
762008216692.816922.8-229.9373389.19
771630817930.917927.83.17407-1622.92
781860019059.818654.5405.257-459.757
791979419268.419007.2261.124525.626
802411419174.518850.2324.2244939.53
812470819198.918367831.8745509.13
822248220777.217892.52884.721704.78
832128818228.617683.8544.8743059.38
84158701679217644.2-852.226-922.024
851073414264.416951.8-2687.33-3530.42
86111421410615703.5-1597.46-2964.04
871308014497.514385.8111.702-1417.45
881309812960.613190.5-229.937137.437
891828212047.2120443.174076234.83
90156781139210986.8405.2574285.99
91609610533.410272.2261.124-4437.37
927854100449719.75324.224-2189.97
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118190741680313918.22884.722271.03
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12116014NANA-2687.33NA
12213746NANA-1597.46NA
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12610386NANA405.257NA



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')