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Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationSat, 17 Aug 2013 14:09:44 -0400
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2013/Aug/17/t1376763084hw3a40y7oq2w6l0.htm/, Retrieved Sun, 28 Apr 2024 19:44:31 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=211150, Retrieved Sun, 28 Apr 2024 19:44:31 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
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Estimated Impact186
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [additief decompos...] [2013-08-17 18:09:44] [3e2b14d12dd0cca2f2b67dfbdf2cdaf9] [Current]
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Dataseries X:
42364
42206
42046
41715
44991
44818
42364
40733
40891
40891
41067
41382
41873
41873
41558
40733
44991
45640
44660
42364
43346
41873
42538
42855
43186
42364
42538
41382
44991
46131
45151
43346
45309
43186
45151
44991
45482
43678
45640
45482
48426
47762
45151
43835
45640
43186
44991
45309
45973
44502
45309
45800
47604
46131
44169
42046
44011
38611
41224
42695
44169
42046
42046
42046
43186
41558
39420
37631
38929
33862
36967
38771
39102
37298
37455
36967
38611
37455
35178
33531
36315
30269
34195
35984
35984
33862
31900
31742
33531
31900
28798
26660
28956
23558
28464
31075
31900
30096
27816
29447
30096
29604
24696
22418
24047
19140
24207
26011
27482
25029
22733
24047
24696
23398
18491
16353
18316
12918
18807
22418




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time4 seconds
R Server'George Udny Yule' @ yule.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 4 seconds \tabularnewline
R Server & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=211150&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]4 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=211150&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=211150&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 Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time4 seconds
R Server'George Udny Yule' @ yule.wessa.net







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
142364NANA1469.93NA
242206NANA92.9907NA
342046NANA-106.625NA
441715NANA199.727NA
544991NANA2486.29NA
644818NANA1949.03NA
74236441886.442101.9-215.426477.551
84073340109.142067.5-1958.45623.907
94089141897.242033.3-136.181-1006.15
104089138355.141972.1-3616.972535.89
114106741181.941931.2-749.218-114.949
124138242550.341965.4584.907-1168.32
134187343565.342095.31469.93-1692.26
144187342351.94225992.9907-478.949
154155842322.642429.2-106.625-764.583
164073342772.142572.4199.727-2039.14
174499145160.942674.62486.29-169.912
184564044746.342797.31949.03893.681
194466042697.942913.4-215.4261962.05
204236441030.142988.5-1958.451333.91
214334642913.743049.8-136.181432.347
224187339500.743117.7-3616.972372.26
234253842395.543144.8-749.218142.468
244285543750.143165.2584.907-895.116
254318644676.143206.11469.93-1490.06
264236443360.543267.592.9907-996.491
274253843283.643390.2-106.625-745.583
284138243726.443526.7199.727-2344.44
294499146176.643690.32486.29-1185.58
304613145837.243888.21949.03293.806
314515143857.444072.8-215.4261293.59
324334642264.844223.2-1958.451081.2
334530944271.144407.2-136.1811037.93
344318641090.444707.3-3616.972095.64
354515144272.145021.3-749.218878.926
364499145817.345232.4584.907-826.282
374548246770.345300.31469.93-1288.26
384367845413.745320.792.9907-1735.7
394564045248.245354.9-106.625391.75
404548245568.445368.7199.727-86.3935
414842647848.3453622486.29577.713
424776247317.645368.61949.03444.389
434515145186.945402.3-215.426-35.8657
444383543498.645457.1-1958.45336.366
454564045341.445477.6-136.181298.556
464318641860.145477.1-3616.971325.89
474499144706.945456.1-749.218284.134
484530945938.845353.9584.907-629.782
494597346714.9452451469.93-741.931
504450245222.545129.592.9907-720.532
514530944880.544987.1-106.625428.5
524580044928.444728.6199.727871.648
534760446867.3443812486.29736.671
544613146064.244115.21949.0366.8056
554416943715.743931.1-215.426453.343
564204641795.143753.6-1958.45250.866
574401143379.143515.3-136.181631.889
583861139605.943222.9-3616.97-994.944
594122442133.242882.4-749.218-909.199
604269543092.742507.8584.907-397.699
614416943589.342119.41469.93579.694
624204641830.541737.592.9907215.468
634204641235.241341.8-106.625810.792
644204641131.940932.2199.727914.065
654318643043.2405572486.29142.755
664155842165.140216.11949.03-607.111
67394203962639841.5-215.426-206.032
683763137474.139432.5-1958.45156.949
693892938907.239043.4-136.18121.8056
703386235023.538640.5-3616.97-1161.49
71369673748938238.2-749.218-521.991
723877138461.537876.6584.907309.468
733910238998.837528.91469.93103.153
743729837274.337181.392.990723.6759
75374553679536901.6-106.625660.042
763696736842.736643199.727124.315
77386113886436377.72486.29-253.037
783745538095.236146.11949.03-640.153
793517835684.735900.1-215.426-506.657
803353133668.635627-1958.45-137.551
813631535116.235252.4-136.1811198.81
823026931186.234803.2-3616.97-917.236
833419533624.634373.8-749.218570.384
843598434515.633930.7584.9071468.38
853598434903.333433.41469.931080.65
863386232974.332881.392.9907887.718
873190032181.832288.4-106.625-281.75
883174231901.931702.1199.727-159.852
89335313367031183.72486.29-138.995
903190032689.430740.41949.03-789.403
912879830150.230365.7-215.426-1352.24
922666028080.130038.6-1958.45-1420.13
932895629575.329711.5-136.181-619.319
942355825828.729445.7-3616.97-2270.74
952846428457.729207-749.2186.25926
963107529553.128968.2584.9071521.93
973190030171.528701.61469.931728.49
983009628446.928353.992.99071649.09
99278162786627972.6-106.625-50
1002944727783.727584199.7271663.27
1013009629708.827222.52486.29387.171
1022960428783.226834.21949.03820.806
1032469626223.726439.1-215.426-1527.66
1042241824085.426043.9-1958.45-1667.43
1052404725484.825621-136.181-1437.78
1061914021567.225184.2-3616.97-2427.19
1072420723984.924734.2-749.218222.051
1082601124835.524250.6584.9071175.51
1092748225203.423733.51469.932278.61
1102502923315.223222.292.99071713.8
1112273322624.122730.7-106.625108.917
1122404722432.422232.7199.7271614.61
1132469624234.721748.42486.29461.296
1142339823322.721373.71949.0375.2639
11518491NANA-215.426NA
11616353NANA-1958.45NA
11718316NANA-136.181NA
11812918NANA-3616.97NA
11918807NANA-749.218NA
12022418NANA584.907NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 42364 & NA & NA & 1469.93 & NA \tabularnewline
2 & 42206 & NA & NA & 92.9907 & NA \tabularnewline
3 & 42046 & NA & NA & -106.625 & NA \tabularnewline
4 & 41715 & NA & NA & 199.727 & NA \tabularnewline
5 & 44991 & NA & NA & 2486.29 & NA \tabularnewline
6 & 44818 & NA & NA & 1949.03 & NA \tabularnewline
7 & 42364 & 41886.4 & 42101.9 & -215.426 & 477.551 \tabularnewline
8 & 40733 & 40109.1 & 42067.5 & -1958.45 & 623.907 \tabularnewline
9 & 40891 & 41897.2 & 42033.3 & -136.181 & -1006.15 \tabularnewline
10 & 40891 & 38355.1 & 41972.1 & -3616.97 & 2535.89 \tabularnewline
11 & 41067 & 41181.9 & 41931.2 & -749.218 & -114.949 \tabularnewline
12 & 41382 & 42550.3 & 41965.4 & 584.907 & -1168.32 \tabularnewline
13 & 41873 & 43565.3 & 42095.3 & 1469.93 & -1692.26 \tabularnewline
14 & 41873 & 42351.9 & 42259 & 92.9907 & -478.949 \tabularnewline
15 & 41558 & 42322.6 & 42429.2 & -106.625 & -764.583 \tabularnewline
16 & 40733 & 42772.1 & 42572.4 & 199.727 & -2039.14 \tabularnewline
17 & 44991 & 45160.9 & 42674.6 & 2486.29 & -169.912 \tabularnewline
18 & 45640 & 44746.3 & 42797.3 & 1949.03 & 893.681 \tabularnewline
19 & 44660 & 42697.9 & 42913.4 & -215.426 & 1962.05 \tabularnewline
20 & 42364 & 41030.1 & 42988.5 & -1958.45 & 1333.91 \tabularnewline
21 & 43346 & 42913.7 & 43049.8 & -136.181 & 432.347 \tabularnewline
22 & 41873 & 39500.7 & 43117.7 & -3616.97 & 2372.26 \tabularnewline
23 & 42538 & 42395.5 & 43144.8 & -749.218 & 142.468 \tabularnewline
24 & 42855 & 43750.1 & 43165.2 & 584.907 & -895.116 \tabularnewline
25 & 43186 & 44676.1 & 43206.1 & 1469.93 & -1490.06 \tabularnewline
26 & 42364 & 43360.5 & 43267.5 & 92.9907 & -996.491 \tabularnewline
27 & 42538 & 43283.6 & 43390.2 & -106.625 & -745.583 \tabularnewline
28 & 41382 & 43726.4 & 43526.7 & 199.727 & -2344.44 \tabularnewline
29 & 44991 & 46176.6 & 43690.3 & 2486.29 & -1185.58 \tabularnewline
30 & 46131 & 45837.2 & 43888.2 & 1949.03 & 293.806 \tabularnewline
31 & 45151 & 43857.4 & 44072.8 & -215.426 & 1293.59 \tabularnewline
32 & 43346 & 42264.8 & 44223.2 & -1958.45 & 1081.2 \tabularnewline
33 & 45309 & 44271.1 & 44407.2 & -136.181 & 1037.93 \tabularnewline
34 & 43186 & 41090.4 & 44707.3 & -3616.97 & 2095.64 \tabularnewline
35 & 45151 & 44272.1 & 45021.3 & -749.218 & 878.926 \tabularnewline
36 & 44991 & 45817.3 & 45232.4 & 584.907 & -826.282 \tabularnewline
37 & 45482 & 46770.3 & 45300.3 & 1469.93 & -1288.26 \tabularnewline
38 & 43678 & 45413.7 & 45320.7 & 92.9907 & -1735.7 \tabularnewline
39 & 45640 & 45248.2 & 45354.9 & -106.625 & 391.75 \tabularnewline
40 & 45482 & 45568.4 & 45368.7 & 199.727 & -86.3935 \tabularnewline
41 & 48426 & 47848.3 & 45362 & 2486.29 & 577.713 \tabularnewline
42 & 47762 & 47317.6 & 45368.6 & 1949.03 & 444.389 \tabularnewline
43 & 45151 & 45186.9 & 45402.3 & -215.426 & -35.8657 \tabularnewline
44 & 43835 & 43498.6 & 45457.1 & -1958.45 & 336.366 \tabularnewline
45 & 45640 & 45341.4 & 45477.6 & -136.181 & 298.556 \tabularnewline
46 & 43186 & 41860.1 & 45477.1 & -3616.97 & 1325.89 \tabularnewline
47 & 44991 & 44706.9 & 45456.1 & -749.218 & 284.134 \tabularnewline
48 & 45309 & 45938.8 & 45353.9 & 584.907 & -629.782 \tabularnewline
49 & 45973 & 46714.9 & 45245 & 1469.93 & -741.931 \tabularnewline
50 & 44502 & 45222.5 & 45129.5 & 92.9907 & -720.532 \tabularnewline
51 & 45309 & 44880.5 & 44987.1 & -106.625 & 428.5 \tabularnewline
52 & 45800 & 44928.4 & 44728.6 & 199.727 & 871.648 \tabularnewline
53 & 47604 & 46867.3 & 44381 & 2486.29 & 736.671 \tabularnewline
54 & 46131 & 46064.2 & 44115.2 & 1949.03 & 66.8056 \tabularnewline
55 & 44169 & 43715.7 & 43931.1 & -215.426 & 453.343 \tabularnewline
56 & 42046 & 41795.1 & 43753.6 & -1958.45 & 250.866 \tabularnewline
57 & 44011 & 43379.1 & 43515.3 & -136.181 & 631.889 \tabularnewline
58 & 38611 & 39605.9 & 43222.9 & -3616.97 & -994.944 \tabularnewline
59 & 41224 & 42133.2 & 42882.4 & -749.218 & -909.199 \tabularnewline
60 & 42695 & 43092.7 & 42507.8 & 584.907 & -397.699 \tabularnewline
61 & 44169 & 43589.3 & 42119.4 & 1469.93 & 579.694 \tabularnewline
62 & 42046 & 41830.5 & 41737.5 & 92.9907 & 215.468 \tabularnewline
63 & 42046 & 41235.2 & 41341.8 & -106.625 & 810.792 \tabularnewline
64 & 42046 & 41131.9 & 40932.2 & 199.727 & 914.065 \tabularnewline
65 & 43186 & 43043.2 & 40557 & 2486.29 & 142.755 \tabularnewline
66 & 41558 & 42165.1 & 40216.1 & 1949.03 & -607.111 \tabularnewline
67 & 39420 & 39626 & 39841.5 & -215.426 & -206.032 \tabularnewline
68 & 37631 & 37474.1 & 39432.5 & -1958.45 & 156.949 \tabularnewline
69 & 38929 & 38907.2 & 39043.4 & -136.181 & 21.8056 \tabularnewline
70 & 33862 & 35023.5 & 38640.5 & -3616.97 & -1161.49 \tabularnewline
71 & 36967 & 37489 & 38238.2 & -749.218 & -521.991 \tabularnewline
72 & 38771 & 38461.5 & 37876.6 & 584.907 & 309.468 \tabularnewline
73 & 39102 & 38998.8 & 37528.9 & 1469.93 & 103.153 \tabularnewline
74 & 37298 & 37274.3 & 37181.3 & 92.9907 & 23.6759 \tabularnewline
75 & 37455 & 36795 & 36901.6 & -106.625 & 660.042 \tabularnewline
76 & 36967 & 36842.7 & 36643 & 199.727 & 124.315 \tabularnewline
77 & 38611 & 38864 & 36377.7 & 2486.29 & -253.037 \tabularnewline
78 & 37455 & 38095.2 & 36146.1 & 1949.03 & -640.153 \tabularnewline
79 & 35178 & 35684.7 & 35900.1 & -215.426 & -506.657 \tabularnewline
80 & 33531 & 33668.6 & 35627 & -1958.45 & -137.551 \tabularnewline
81 & 36315 & 35116.2 & 35252.4 & -136.181 & 1198.81 \tabularnewline
82 & 30269 & 31186.2 & 34803.2 & -3616.97 & -917.236 \tabularnewline
83 & 34195 & 33624.6 & 34373.8 & -749.218 & 570.384 \tabularnewline
84 & 35984 & 34515.6 & 33930.7 & 584.907 & 1468.38 \tabularnewline
85 & 35984 & 34903.3 & 33433.4 & 1469.93 & 1080.65 \tabularnewline
86 & 33862 & 32974.3 & 32881.3 & 92.9907 & 887.718 \tabularnewline
87 & 31900 & 32181.8 & 32288.4 & -106.625 & -281.75 \tabularnewline
88 & 31742 & 31901.9 & 31702.1 & 199.727 & -159.852 \tabularnewline
89 & 33531 & 33670 & 31183.7 & 2486.29 & -138.995 \tabularnewline
90 & 31900 & 32689.4 & 30740.4 & 1949.03 & -789.403 \tabularnewline
91 & 28798 & 30150.2 & 30365.7 & -215.426 & -1352.24 \tabularnewline
92 & 26660 & 28080.1 & 30038.6 & -1958.45 & -1420.13 \tabularnewline
93 & 28956 & 29575.3 & 29711.5 & -136.181 & -619.319 \tabularnewline
94 & 23558 & 25828.7 & 29445.7 & -3616.97 & -2270.74 \tabularnewline
95 & 28464 & 28457.7 & 29207 & -749.218 & 6.25926 \tabularnewline
96 & 31075 & 29553.1 & 28968.2 & 584.907 & 1521.93 \tabularnewline
97 & 31900 & 30171.5 & 28701.6 & 1469.93 & 1728.49 \tabularnewline
98 & 30096 & 28446.9 & 28353.9 & 92.9907 & 1649.09 \tabularnewline
99 & 27816 & 27866 & 27972.6 & -106.625 & -50 \tabularnewline
100 & 29447 & 27783.7 & 27584 & 199.727 & 1663.27 \tabularnewline
101 & 30096 & 29708.8 & 27222.5 & 2486.29 & 387.171 \tabularnewline
102 & 29604 & 28783.2 & 26834.2 & 1949.03 & 820.806 \tabularnewline
103 & 24696 & 26223.7 & 26439.1 & -215.426 & -1527.66 \tabularnewline
104 & 22418 & 24085.4 & 26043.9 & -1958.45 & -1667.43 \tabularnewline
105 & 24047 & 25484.8 & 25621 & -136.181 & -1437.78 \tabularnewline
106 & 19140 & 21567.2 & 25184.2 & -3616.97 & -2427.19 \tabularnewline
107 & 24207 & 23984.9 & 24734.2 & -749.218 & 222.051 \tabularnewline
108 & 26011 & 24835.5 & 24250.6 & 584.907 & 1175.51 \tabularnewline
109 & 27482 & 25203.4 & 23733.5 & 1469.93 & 2278.61 \tabularnewline
110 & 25029 & 23315.2 & 23222.2 & 92.9907 & 1713.8 \tabularnewline
111 & 22733 & 22624.1 & 22730.7 & -106.625 & 108.917 \tabularnewline
112 & 24047 & 22432.4 & 22232.7 & 199.727 & 1614.61 \tabularnewline
113 & 24696 & 24234.7 & 21748.4 & 2486.29 & 461.296 \tabularnewline
114 & 23398 & 23322.7 & 21373.7 & 1949.03 & 75.2639 \tabularnewline
115 & 18491 & NA & NA & -215.426 & NA \tabularnewline
116 & 16353 & NA & NA & -1958.45 & NA \tabularnewline
117 & 18316 & NA & NA & -136.181 & NA \tabularnewline
118 & 12918 & NA & NA & -3616.97 & NA \tabularnewline
119 & 18807 & NA & NA & -749.218 & NA \tabularnewline
120 & 22418 & NA & NA & 584.907 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=211150&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]42364[/C][C]NA[/C][C]NA[/C][C]1469.93[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]42206[/C][C]NA[/C][C]NA[/C][C]92.9907[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]42046[/C][C]NA[/C][C]NA[/C][C]-106.625[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]41715[/C][C]NA[/C][C]NA[/C][C]199.727[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]44991[/C][C]NA[/C][C]NA[/C][C]2486.29[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]44818[/C][C]NA[/C][C]NA[/C][C]1949.03[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]42364[/C][C]41886.4[/C][C]42101.9[/C][C]-215.426[/C][C]477.551[/C][/ROW]
[ROW][C]8[/C][C]40733[/C][C]40109.1[/C][C]42067.5[/C][C]-1958.45[/C][C]623.907[/C][/ROW]
[ROW][C]9[/C][C]40891[/C][C]41897.2[/C][C]42033.3[/C][C]-136.181[/C][C]-1006.15[/C][/ROW]
[ROW][C]10[/C][C]40891[/C][C]38355.1[/C][C]41972.1[/C][C]-3616.97[/C][C]2535.89[/C][/ROW]
[ROW][C]11[/C][C]41067[/C][C]41181.9[/C][C]41931.2[/C][C]-749.218[/C][C]-114.949[/C][/ROW]
[ROW][C]12[/C][C]41382[/C][C]42550.3[/C][C]41965.4[/C][C]584.907[/C][C]-1168.32[/C][/ROW]
[ROW][C]13[/C][C]41873[/C][C]43565.3[/C][C]42095.3[/C][C]1469.93[/C][C]-1692.26[/C][/ROW]
[ROW][C]14[/C][C]41873[/C][C]42351.9[/C][C]42259[/C][C]92.9907[/C][C]-478.949[/C][/ROW]
[ROW][C]15[/C][C]41558[/C][C]42322.6[/C][C]42429.2[/C][C]-106.625[/C][C]-764.583[/C][/ROW]
[ROW][C]16[/C][C]40733[/C][C]42772.1[/C][C]42572.4[/C][C]199.727[/C][C]-2039.14[/C][/ROW]
[ROW][C]17[/C][C]44991[/C][C]45160.9[/C][C]42674.6[/C][C]2486.29[/C][C]-169.912[/C][/ROW]
[ROW][C]18[/C][C]45640[/C][C]44746.3[/C][C]42797.3[/C][C]1949.03[/C][C]893.681[/C][/ROW]
[ROW][C]19[/C][C]44660[/C][C]42697.9[/C][C]42913.4[/C][C]-215.426[/C][C]1962.05[/C][/ROW]
[ROW][C]20[/C][C]42364[/C][C]41030.1[/C][C]42988.5[/C][C]-1958.45[/C][C]1333.91[/C][/ROW]
[ROW][C]21[/C][C]43346[/C][C]42913.7[/C][C]43049.8[/C][C]-136.181[/C][C]432.347[/C][/ROW]
[ROW][C]22[/C][C]41873[/C][C]39500.7[/C][C]43117.7[/C][C]-3616.97[/C][C]2372.26[/C][/ROW]
[ROW][C]23[/C][C]42538[/C][C]42395.5[/C][C]43144.8[/C][C]-749.218[/C][C]142.468[/C][/ROW]
[ROW][C]24[/C][C]42855[/C][C]43750.1[/C][C]43165.2[/C][C]584.907[/C][C]-895.116[/C][/ROW]
[ROW][C]25[/C][C]43186[/C][C]44676.1[/C][C]43206.1[/C][C]1469.93[/C][C]-1490.06[/C][/ROW]
[ROW][C]26[/C][C]42364[/C][C]43360.5[/C][C]43267.5[/C][C]92.9907[/C][C]-996.491[/C][/ROW]
[ROW][C]27[/C][C]42538[/C][C]43283.6[/C][C]43390.2[/C][C]-106.625[/C][C]-745.583[/C][/ROW]
[ROW][C]28[/C][C]41382[/C][C]43726.4[/C][C]43526.7[/C][C]199.727[/C][C]-2344.44[/C][/ROW]
[ROW][C]29[/C][C]44991[/C][C]46176.6[/C][C]43690.3[/C][C]2486.29[/C][C]-1185.58[/C][/ROW]
[ROW][C]30[/C][C]46131[/C][C]45837.2[/C][C]43888.2[/C][C]1949.03[/C][C]293.806[/C][/ROW]
[ROW][C]31[/C][C]45151[/C][C]43857.4[/C][C]44072.8[/C][C]-215.426[/C][C]1293.59[/C][/ROW]
[ROW][C]32[/C][C]43346[/C][C]42264.8[/C][C]44223.2[/C][C]-1958.45[/C][C]1081.2[/C][/ROW]
[ROW][C]33[/C][C]45309[/C][C]44271.1[/C][C]44407.2[/C][C]-136.181[/C][C]1037.93[/C][/ROW]
[ROW][C]34[/C][C]43186[/C][C]41090.4[/C][C]44707.3[/C][C]-3616.97[/C][C]2095.64[/C][/ROW]
[ROW][C]35[/C][C]45151[/C][C]44272.1[/C][C]45021.3[/C][C]-749.218[/C][C]878.926[/C][/ROW]
[ROW][C]36[/C][C]44991[/C][C]45817.3[/C][C]45232.4[/C][C]584.907[/C][C]-826.282[/C][/ROW]
[ROW][C]37[/C][C]45482[/C][C]46770.3[/C][C]45300.3[/C][C]1469.93[/C][C]-1288.26[/C][/ROW]
[ROW][C]38[/C][C]43678[/C][C]45413.7[/C][C]45320.7[/C][C]92.9907[/C][C]-1735.7[/C][/ROW]
[ROW][C]39[/C][C]45640[/C][C]45248.2[/C][C]45354.9[/C][C]-106.625[/C][C]391.75[/C][/ROW]
[ROW][C]40[/C][C]45482[/C][C]45568.4[/C][C]45368.7[/C][C]199.727[/C][C]-86.3935[/C][/ROW]
[ROW][C]41[/C][C]48426[/C][C]47848.3[/C][C]45362[/C][C]2486.29[/C][C]577.713[/C][/ROW]
[ROW][C]42[/C][C]47762[/C][C]47317.6[/C][C]45368.6[/C][C]1949.03[/C][C]444.389[/C][/ROW]
[ROW][C]43[/C][C]45151[/C][C]45186.9[/C][C]45402.3[/C][C]-215.426[/C][C]-35.8657[/C][/ROW]
[ROW][C]44[/C][C]43835[/C][C]43498.6[/C][C]45457.1[/C][C]-1958.45[/C][C]336.366[/C][/ROW]
[ROW][C]45[/C][C]45640[/C][C]45341.4[/C][C]45477.6[/C][C]-136.181[/C][C]298.556[/C][/ROW]
[ROW][C]46[/C][C]43186[/C][C]41860.1[/C][C]45477.1[/C][C]-3616.97[/C][C]1325.89[/C][/ROW]
[ROW][C]47[/C][C]44991[/C][C]44706.9[/C][C]45456.1[/C][C]-749.218[/C][C]284.134[/C][/ROW]
[ROW][C]48[/C][C]45309[/C][C]45938.8[/C][C]45353.9[/C][C]584.907[/C][C]-629.782[/C][/ROW]
[ROW][C]49[/C][C]45973[/C][C]46714.9[/C][C]45245[/C][C]1469.93[/C][C]-741.931[/C][/ROW]
[ROW][C]50[/C][C]44502[/C][C]45222.5[/C][C]45129.5[/C][C]92.9907[/C][C]-720.532[/C][/ROW]
[ROW][C]51[/C][C]45309[/C][C]44880.5[/C][C]44987.1[/C][C]-106.625[/C][C]428.5[/C][/ROW]
[ROW][C]52[/C][C]45800[/C][C]44928.4[/C][C]44728.6[/C][C]199.727[/C][C]871.648[/C][/ROW]
[ROW][C]53[/C][C]47604[/C][C]46867.3[/C][C]44381[/C][C]2486.29[/C][C]736.671[/C][/ROW]
[ROW][C]54[/C][C]46131[/C][C]46064.2[/C][C]44115.2[/C][C]1949.03[/C][C]66.8056[/C][/ROW]
[ROW][C]55[/C][C]44169[/C][C]43715.7[/C][C]43931.1[/C][C]-215.426[/C][C]453.343[/C][/ROW]
[ROW][C]56[/C][C]42046[/C][C]41795.1[/C][C]43753.6[/C][C]-1958.45[/C][C]250.866[/C][/ROW]
[ROW][C]57[/C][C]44011[/C][C]43379.1[/C][C]43515.3[/C][C]-136.181[/C][C]631.889[/C][/ROW]
[ROW][C]58[/C][C]38611[/C][C]39605.9[/C][C]43222.9[/C][C]-3616.97[/C][C]-994.944[/C][/ROW]
[ROW][C]59[/C][C]41224[/C][C]42133.2[/C][C]42882.4[/C][C]-749.218[/C][C]-909.199[/C][/ROW]
[ROW][C]60[/C][C]42695[/C][C]43092.7[/C][C]42507.8[/C][C]584.907[/C][C]-397.699[/C][/ROW]
[ROW][C]61[/C][C]44169[/C][C]43589.3[/C][C]42119.4[/C][C]1469.93[/C][C]579.694[/C][/ROW]
[ROW][C]62[/C][C]42046[/C][C]41830.5[/C][C]41737.5[/C][C]92.9907[/C][C]215.468[/C][/ROW]
[ROW][C]63[/C][C]42046[/C][C]41235.2[/C][C]41341.8[/C][C]-106.625[/C][C]810.792[/C][/ROW]
[ROW][C]64[/C][C]42046[/C][C]41131.9[/C][C]40932.2[/C][C]199.727[/C][C]914.065[/C][/ROW]
[ROW][C]65[/C][C]43186[/C][C]43043.2[/C][C]40557[/C][C]2486.29[/C][C]142.755[/C][/ROW]
[ROW][C]66[/C][C]41558[/C][C]42165.1[/C][C]40216.1[/C][C]1949.03[/C][C]-607.111[/C][/ROW]
[ROW][C]67[/C][C]39420[/C][C]39626[/C][C]39841.5[/C][C]-215.426[/C][C]-206.032[/C][/ROW]
[ROW][C]68[/C][C]37631[/C][C]37474.1[/C][C]39432.5[/C][C]-1958.45[/C][C]156.949[/C][/ROW]
[ROW][C]69[/C][C]38929[/C][C]38907.2[/C][C]39043.4[/C][C]-136.181[/C][C]21.8056[/C][/ROW]
[ROW][C]70[/C][C]33862[/C][C]35023.5[/C][C]38640.5[/C][C]-3616.97[/C][C]-1161.49[/C][/ROW]
[ROW][C]71[/C][C]36967[/C][C]37489[/C][C]38238.2[/C][C]-749.218[/C][C]-521.991[/C][/ROW]
[ROW][C]72[/C][C]38771[/C][C]38461.5[/C][C]37876.6[/C][C]584.907[/C][C]309.468[/C][/ROW]
[ROW][C]73[/C][C]39102[/C][C]38998.8[/C][C]37528.9[/C][C]1469.93[/C][C]103.153[/C][/ROW]
[ROW][C]74[/C][C]37298[/C][C]37274.3[/C][C]37181.3[/C][C]92.9907[/C][C]23.6759[/C][/ROW]
[ROW][C]75[/C][C]37455[/C][C]36795[/C][C]36901.6[/C][C]-106.625[/C][C]660.042[/C][/ROW]
[ROW][C]76[/C][C]36967[/C][C]36842.7[/C][C]36643[/C][C]199.727[/C][C]124.315[/C][/ROW]
[ROW][C]77[/C][C]38611[/C][C]38864[/C][C]36377.7[/C][C]2486.29[/C][C]-253.037[/C][/ROW]
[ROW][C]78[/C][C]37455[/C][C]38095.2[/C][C]36146.1[/C][C]1949.03[/C][C]-640.153[/C][/ROW]
[ROW][C]79[/C][C]35178[/C][C]35684.7[/C][C]35900.1[/C][C]-215.426[/C][C]-506.657[/C][/ROW]
[ROW][C]80[/C][C]33531[/C][C]33668.6[/C][C]35627[/C][C]-1958.45[/C][C]-137.551[/C][/ROW]
[ROW][C]81[/C][C]36315[/C][C]35116.2[/C][C]35252.4[/C][C]-136.181[/C][C]1198.81[/C][/ROW]
[ROW][C]82[/C][C]30269[/C][C]31186.2[/C][C]34803.2[/C][C]-3616.97[/C][C]-917.236[/C][/ROW]
[ROW][C]83[/C][C]34195[/C][C]33624.6[/C][C]34373.8[/C][C]-749.218[/C][C]570.384[/C][/ROW]
[ROW][C]84[/C][C]35984[/C][C]34515.6[/C][C]33930.7[/C][C]584.907[/C][C]1468.38[/C][/ROW]
[ROW][C]85[/C][C]35984[/C][C]34903.3[/C][C]33433.4[/C][C]1469.93[/C][C]1080.65[/C][/ROW]
[ROW][C]86[/C][C]33862[/C][C]32974.3[/C][C]32881.3[/C][C]92.9907[/C][C]887.718[/C][/ROW]
[ROW][C]87[/C][C]31900[/C][C]32181.8[/C][C]32288.4[/C][C]-106.625[/C][C]-281.75[/C][/ROW]
[ROW][C]88[/C][C]31742[/C][C]31901.9[/C][C]31702.1[/C][C]199.727[/C][C]-159.852[/C][/ROW]
[ROW][C]89[/C][C]33531[/C][C]33670[/C][C]31183.7[/C][C]2486.29[/C][C]-138.995[/C][/ROW]
[ROW][C]90[/C][C]31900[/C][C]32689.4[/C][C]30740.4[/C][C]1949.03[/C][C]-789.403[/C][/ROW]
[ROW][C]91[/C][C]28798[/C][C]30150.2[/C][C]30365.7[/C][C]-215.426[/C][C]-1352.24[/C][/ROW]
[ROW][C]92[/C][C]26660[/C][C]28080.1[/C][C]30038.6[/C][C]-1958.45[/C][C]-1420.13[/C][/ROW]
[ROW][C]93[/C][C]28956[/C][C]29575.3[/C][C]29711.5[/C][C]-136.181[/C][C]-619.319[/C][/ROW]
[ROW][C]94[/C][C]23558[/C][C]25828.7[/C][C]29445.7[/C][C]-3616.97[/C][C]-2270.74[/C][/ROW]
[ROW][C]95[/C][C]28464[/C][C]28457.7[/C][C]29207[/C][C]-749.218[/C][C]6.25926[/C][/ROW]
[ROW][C]96[/C][C]31075[/C][C]29553.1[/C][C]28968.2[/C][C]584.907[/C][C]1521.93[/C][/ROW]
[ROW][C]97[/C][C]31900[/C][C]30171.5[/C][C]28701.6[/C][C]1469.93[/C][C]1728.49[/C][/ROW]
[ROW][C]98[/C][C]30096[/C][C]28446.9[/C][C]28353.9[/C][C]92.9907[/C][C]1649.09[/C][/ROW]
[ROW][C]99[/C][C]27816[/C][C]27866[/C][C]27972.6[/C][C]-106.625[/C][C]-50[/C][/ROW]
[ROW][C]100[/C][C]29447[/C][C]27783.7[/C][C]27584[/C][C]199.727[/C][C]1663.27[/C][/ROW]
[ROW][C]101[/C][C]30096[/C][C]29708.8[/C][C]27222.5[/C][C]2486.29[/C][C]387.171[/C][/ROW]
[ROW][C]102[/C][C]29604[/C][C]28783.2[/C][C]26834.2[/C][C]1949.03[/C][C]820.806[/C][/ROW]
[ROW][C]103[/C][C]24696[/C][C]26223.7[/C][C]26439.1[/C][C]-215.426[/C][C]-1527.66[/C][/ROW]
[ROW][C]104[/C][C]22418[/C][C]24085.4[/C][C]26043.9[/C][C]-1958.45[/C][C]-1667.43[/C][/ROW]
[ROW][C]105[/C][C]24047[/C][C]25484.8[/C][C]25621[/C][C]-136.181[/C][C]-1437.78[/C][/ROW]
[ROW][C]106[/C][C]19140[/C][C]21567.2[/C][C]25184.2[/C][C]-3616.97[/C][C]-2427.19[/C][/ROW]
[ROW][C]107[/C][C]24207[/C][C]23984.9[/C][C]24734.2[/C][C]-749.218[/C][C]222.051[/C][/ROW]
[ROW][C]108[/C][C]26011[/C][C]24835.5[/C][C]24250.6[/C][C]584.907[/C][C]1175.51[/C][/ROW]
[ROW][C]109[/C][C]27482[/C][C]25203.4[/C][C]23733.5[/C][C]1469.93[/C][C]2278.61[/C][/ROW]
[ROW][C]110[/C][C]25029[/C][C]23315.2[/C][C]23222.2[/C][C]92.9907[/C][C]1713.8[/C][/ROW]
[ROW][C]111[/C][C]22733[/C][C]22624.1[/C][C]22730.7[/C][C]-106.625[/C][C]108.917[/C][/ROW]
[ROW][C]112[/C][C]24047[/C][C]22432.4[/C][C]22232.7[/C][C]199.727[/C][C]1614.61[/C][/ROW]
[ROW][C]113[/C][C]24696[/C][C]24234.7[/C][C]21748.4[/C][C]2486.29[/C][C]461.296[/C][/ROW]
[ROW][C]114[/C][C]23398[/C][C]23322.7[/C][C]21373.7[/C][C]1949.03[/C][C]75.2639[/C][/ROW]
[ROW][C]115[/C][C]18491[/C][C]NA[/C][C]NA[/C][C]-215.426[/C][C]NA[/C][/ROW]
[ROW][C]116[/C][C]16353[/C][C]NA[/C][C]NA[/C][C]-1958.45[/C][C]NA[/C][/ROW]
[ROW][C]117[/C][C]18316[/C][C]NA[/C][C]NA[/C][C]-136.181[/C][C]NA[/C][/ROW]
[ROW][C]118[/C][C]12918[/C][C]NA[/C][C]NA[/C][C]-3616.97[/C][C]NA[/C][/ROW]
[ROW][C]119[/C][C]18807[/C][C]NA[/C][C]NA[/C][C]-749.218[/C][C]NA[/C][/ROW]
[ROW][C]120[/C][C]22418[/C][C]NA[/C][C]NA[/C][C]584.907[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=211150&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=211150&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
142364NANA1469.93NA
242206NANA92.9907NA
342046NANA-106.625NA
441715NANA199.727NA
544991NANA2486.29NA
644818NANA1949.03NA
74236441886.442101.9-215.426477.551
84073340109.142067.5-1958.45623.907
94089141897.242033.3-136.181-1006.15
104089138355.141972.1-3616.972535.89
114106741181.941931.2-749.218-114.949
124138242550.341965.4584.907-1168.32
134187343565.342095.31469.93-1692.26
144187342351.94225992.9907-478.949
154155842322.642429.2-106.625-764.583
164073342772.142572.4199.727-2039.14
174499145160.942674.62486.29-169.912
184564044746.342797.31949.03893.681
194466042697.942913.4-215.4261962.05
204236441030.142988.5-1958.451333.91
214334642913.743049.8-136.181432.347
224187339500.743117.7-3616.972372.26
234253842395.543144.8-749.218142.468
244285543750.143165.2584.907-895.116
254318644676.143206.11469.93-1490.06
264236443360.543267.592.9907-996.491
274253843283.643390.2-106.625-745.583
284138243726.443526.7199.727-2344.44
294499146176.643690.32486.29-1185.58
304613145837.243888.21949.03293.806
314515143857.444072.8-215.4261293.59
324334642264.844223.2-1958.451081.2
334530944271.144407.2-136.1811037.93
344318641090.444707.3-3616.972095.64
354515144272.145021.3-749.218878.926
364499145817.345232.4584.907-826.282
374548246770.345300.31469.93-1288.26
384367845413.745320.792.9907-1735.7
394564045248.245354.9-106.625391.75
404548245568.445368.7199.727-86.3935
414842647848.3453622486.29577.713
424776247317.645368.61949.03444.389
434515145186.945402.3-215.426-35.8657
444383543498.645457.1-1958.45336.366
454564045341.445477.6-136.181298.556
464318641860.145477.1-3616.971325.89
474499144706.945456.1-749.218284.134
484530945938.845353.9584.907-629.782
494597346714.9452451469.93-741.931
504450245222.545129.592.9907-720.532
514530944880.544987.1-106.625428.5
524580044928.444728.6199.727871.648
534760446867.3443812486.29736.671
544613146064.244115.21949.0366.8056
554416943715.743931.1-215.426453.343
564204641795.143753.6-1958.45250.866
574401143379.143515.3-136.181631.889
583861139605.943222.9-3616.97-994.944
594122442133.242882.4-749.218-909.199
604269543092.742507.8584.907-397.699
614416943589.342119.41469.93579.694
624204641830.541737.592.9907215.468
634204641235.241341.8-106.625810.792
644204641131.940932.2199.727914.065
654318643043.2405572486.29142.755
664155842165.140216.11949.03-607.111
67394203962639841.5-215.426-206.032
683763137474.139432.5-1958.45156.949
693892938907.239043.4-136.18121.8056
703386235023.538640.5-3616.97-1161.49
71369673748938238.2-749.218-521.991
723877138461.537876.6584.907309.468
733910238998.837528.91469.93103.153
743729837274.337181.392.990723.6759
75374553679536901.6-106.625660.042
763696736842.736643199.727124.315
77386113886436377.72486.29-253.037
783745538095.236146.11949.03-640.153
793517835684.735900.1-215.426-506.657
803353133668.635627-1958.45-137.551
813631535116.235252.4-136.1811198.81
823026931186.234803.2-3616.97-917.236
833419533624.634373.8-749.218570.384
843598434515.633930.7584.9071468.38
853598434903.333433.41469.931080.65
863386232974.332881.392.9907887.718
873190032181.832288.4-106.625-281.75
883174231901.931702.1199.727-159.852
89335313367031183.72486.29-138.995
903190032689.430740.41949.03-789.403
912879830150.230365.7-215.426-1352.24
922666028080.130038.6-1958.45-1420.13
932895629575.329711.5-136.181-619.319
942355825828.729445.7-3616.97-2270.74
952846428457.729207-749.2186.25926
963107529553.128968.2584.9071521.93
973190030171.528701.61469.931728.49
983009628446.928353.992.99071649.09
99278162786627972.6-106.625-50
1002944727783.727584199.7271663.27
1013009629708.827222.52486.29387.171
1022960428783.226834.21949.03820.806
1032469626223.726439.1-215.426-1527.66
1042241824085.426043.9-1958.45-1667.43
1052404725484.825621-136.181-1437.78
1061914021567.225184.2-3616.97-2427.19
1072420723984.924734.2-749.218222.051
1082601124835.524250.6584.9071175.51
1092748225203.423733.51469.932278.61
1102502923315.223222.292.99071713.8
1112273322624.122730.7-106.625108.917
1122404722432.422232.7199.7271614.61
1132469624234.721748.42486.29461.296
1142339823322.721373.71949.0375.2639
11518491NANA-215.426NA
11616353NANA-1958.45NA
11718316NANA-136.181NA
11812918NANA-3616.97NA
11918807NANA-749.218NA
12022418NANA584.907NA



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