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R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationWed, 25 Nov 2015 15:11:48 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2015/Nov/25/t1448464436z0du8tn9nfa9blc.htm/, Retrieved Wed, 15 May 2024 01:53:48 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=284136, Retrieved Wed, 15 May 2024 01:53:48 +0000
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IsPrivate?No (this computation is public)
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Estimated Impact72
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [Addidtief model -...] [2015-11-25 15:11:48] [002d4cc575a6d7b5895f2103ed304b4f] [Current]
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Dataseries X:
24158
24359
24628
25021
25315
25481
26043
26207
26466
26276
26236
26211
26265
25996
25794
25752
25491
25092
25759
25624
25138
25042
25014
25244
25493
25269
25170
25332
24966
24851
25518
25403
25028
24895
24905
25317
25718
25822
25967
25907
25940
26247
26900
26980
26677
26701
26808
27469
27586
27567
27508
27444
27380
27500
28217
28355
27627
27565
27496
27453
27705
27462
27152
27016
26836
26722
27391
27139
26644
26455
26294
26437
26954
26620
26307
26003
25798
25603
26242
26051
25658
25489
25425
25183
24774
24977
24980
25081
25240
25419
26309
26600
26690
26889
27109
27646
28330
28332
28202
28163
28077
28351
28950
28972
28812
28979
29112
29139




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ fisher.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 & 2 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=284136&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=284136&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=284136&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 time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ fisher.wessa.net







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
124158NANA223.708NA
224359NANA96.6667NA
324628NANA-50.5781NA
425021NANA-124.625NA
525315NANA-274.932NA
625481NANA-298.036NA
7260432599625621.2374.83946.9531
82620726107.125777.2329.91799.875
92646625880.725894-13.2656585.266
102627625847.825973-125.245428.203
112623625851.726010.8-159.12384.286
122621126022.62600220.6719188.37
132626526197.625973.9223.70867.375
142599626034.525937.896.6667-38.4583
152579425807.625858.2-50.5781-13.5885
162575225626.825751.4-124.625125.208
172549125374.225649.1-274.932116.849
182509225259.825557.9-298.036-167.839
192575925860.325485.4374.839-101.255
202562425752.925423329.917-128.875
212513825353.425366.7-13.2656-215.401
222504225197.925323.2-125.245-155.922
232501425124.725283.8-159.12-110.672
242524425272.525251.920.6719-28.5469
252549325455.525231.8223.70837.5
262526925309.225212.596.6667-40.2083
272517025148.225198.8-50.578121.8281
282533225063.425188-124.625268.583
292496624902.425177.4-274.93263.5573
302485124877.825175.9-298.036-26.8385
312551825563.125188.3374.839-45.1302
322540325550.625220.7329.917-147.625
332502825263.725277-13.2656-235.693
342489525208.925334.1-125.245-313.88
352490525239.525398.7-159.12-334.547
362531725518.125497.420.6719-201.089
372571825836.925613.2223.708-118.875
382582225833.125736.596.6667-11.125
392596725820.325870.9-50.5781146.703
402590725890.226014.8-124.62516.7917
412594025894.426169.4-274.93245.5573
422624726040.326338.3-298.036206.703
432690026880.726505.8374.83919.3281
442698026986.326656.4329.917-6.29167
45266772678026793.3-13.2656-103.026
462670126796.326921.5-125.245-95.2969
472680826886.527045.6-159.12-78.4635
482746927178.527157.820.6719290.536
492758627488.627264.9223.70897.4167
502756727473.72737796.666793.2917
512750827423.327473.9-50.578184.6615
522744427424.927549.5-124.62519.125
532738027339.227614.2-274.93240.7656
542750027344.127642.2-298.036155.87
552821728021.327646.5374.839195.703
56283552797727647329.917378.042
572762727614.627627.8-13.265612.4323
582756527469.927595.2-125.24595.0781
592749627395.527554.7-159.12100.453
602745327520.327499.620.6719-67.2552
612770527656.527432.7223.70848.5417
622746227444.327347.796.666717.6667
632715227205.527256-50.5781-53.4635
642701627044.227168.8-124.625-28.2083
652683626797.627072.5-274.93238.4323
66267222668226980.1-298.03639.9531
672739127281.326906.5374.839109.703
68271392717026840.1329.917-31
692664426756.526769.8-13.2656-112.526
702645526567.126692.4-125.245-112.13
712629426447.826606.9-159.12-153.797
722643726537.72651720.6719-100.714
732695426646.226422.5223.708307.75
74266202642626329.396.6667194
752630726192.326242.9-50.5781114.661
76260032603726161.6-124.625-33.9583
772579825810.226085.1-274.932-12.1927
782560325698.625996.7-298.036-95.6302
792624226228.425853.6374.83913.5781
802605126024.225694.3329.91726.7917
812565825557.325570.5-13.2656100.724
822548925351.625476.8-125.245137.411
83254252525625415.2-159.12168.953
842518325404.925384.220.6719-221.922
852477425603.125379.4223.708-829.083
862497725501.72540596.6667-524.708
872498025420.325470.9-50.5781-440.339
882508125447.625572.2-124.625-366.625
892524025425.825700.8-274.932-185.818
902541925575.525873.5-298.036-156.505
912630926499.226124.3374.839-190.172
922660026742.226412.3329.917-142.208
932669026673.126686.3-13.265616.9323
942688926823.826949-125.24565.2448
952710927036.527195.6-159.1272.4948
962764627456.72743620.6719189.328
972833027891.927668.2223.708438.083
982833227973.727877.196.6667358.25
992820228013.828064.3-50.5781188.245
1002816328115.228239.8-124.62547.7917
1012807728135.428410.4-274.932-58.4427
102283512825828556-298.03692.9948
10328950NANA374.839NA
10428972NANA329.917NA
10528812NANA-13.2656NA
10628979NANA-125.245NA
10729112NANA-159.12NA
10829139NANA20.6719NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 24158 & NA & NA & 223.708 & NA \tabularnewline
2 & 24359 & NA & NA & 96.6667 & NA \tabularnewline
3 & 24628 & NA & NA & -50.5781 & NA \tabularnewline
4 & 25021 & NA & NA & -124.625 & NA \tabularnewline
5 & 25315 & NA & NA & -274.932 & NA \tabularnewline
6 & 25481 & NA & NA & -298.036 & NA \tabularnewline
7 & 26043 & 25996 & 25621.2 & 374.839 & 46.9531 \tabularnewline
8 & 26207 & 26107.1 & 25777.2 & 329.917 & 99.875 \tabularnewline
9 & 26466 & 25880.7 & 25894 & -13.2656 & 585.266 \tabularnewline
10 & 26276 & 25847.8 & 25973 & -125.245 & 428.203 \tabularnewline
11 & 26236 & 25851.7 & 26010.8 & -159.12 & 384.286 \tabularnewline
12 & 26211 & 26022.6 & 26002 & 20.6719 & 188.37 \tabularnewline
13 & 26265 & 26197.6 & 25973.9 & 223.708 & 67.375 \tabularnewline
14 & 25996 & 26034.5 & 25937.8 & 96.6667 & -38.4583 \tabularnewline
15 & 25794 & 25807.6 & 25858.2 & -50.5781 & -13.5885 \tabularnewline
16 & 25752 & 25626.8 & 25751.4 & -124.625 & 125.208 \tabularnewline
17 & 25491 & 25374.2 & 25649.1 & -274.932 & 116.849 \tabularnewline
18 & 25092 & 25259.8 & 25557.9 & -298.036 & -167.839 \tabularnewline
19 & 25759 & 25860.3 & 25485.4 & 374.839 & -101.255 \tabularnewline
20 & 25624 & 25752.9 & 25423 & 329.917 & -128.875 \tabularnewline
21 & 25138 & 25353.4 & 25366.7 & -13.2656 & -215.401 \tabularnewline
22 & 25042 & 25197.9 & 25323.2 & -125.245 & -155.922 \tabularnewline
23 & 25014 & 25124.7 & 25283.8 & -159.12 & -110.672 \tabularnewline
24 & 25244 & 25272.5 & 25251.9 & 20.6719 & -28.5469 \tabularnewline
25 & 25493 & 25455.5 & 25231.8 & 223.708 & 37.5 \tabularnewline
26 & 25269 & 25309.2 & 25212.5 & 96.6667 & -40.2083 \tabularnewline
27 & 25170 & 25148.2 & 25198.8 & -50.5781 & 21.8281 \tabularnewline
28 & 25332 & 25063.4 & 25188 & -124.625 & 268.583 \tabularnewline
29 & 24966 & 24902.4 & 25177.4 & -274.932 & 63.5573 \tabularnewline
30 & 24851 & 24877.8 & 25175.9 & -298.036 & -26.8385 \tabularnewline
31 & 25518 & 25563.1 & 25188.3 & 374.839 & -45.1302 \tabularnewline
32 & 25403 & 25550.6 & 25220.7 & 329.917 & -147.625 \tabularnewline
33 & 25028 & 25263.7 & 25277 & -13.2656 & -235.693 \tabularnewline
34 & 24895 & 25208.9 & 25334.1 & -125.245 & -313.88 \tabularnewline
35 & 24905 & 25239.5 & 25398.7 & -159.12 & -334.547 \tabularnewline
36 & 25317 & 25518.1 & 25497.4 & 20.6719 & -201.089 \tabularnewline
37 & 25718 & 25836.9 & 25613.2 & 223.708 & -118.875 \tabularnewline
38 & 25822 & 25833.1 & 25736.5 & 96.6667 & -11.125 \tabularnewline
39 & 25967 & 25820.3 & 25870.9 & -50.5781 & 146.703 \tabularnewline
40 & 25907 & 25890.2 & 26014.8 & -124.625 & 16.7917 \tabularnewline
41 & 25940 & 25894.4 & 26169.4 & -274.932 & 45.5573 \tabularnewline
42 & 26247 & 26040.3 & 26338.3 & -298.036 & 206.703 \tabularnewline
43 & 26900 & 26880.7 & 26505.8 & 374.839 & 19.3281 \tabularnewline
44 & 26980 & 26986.3 & 26656.4 & 329.917 & -6.29167 \tabularnewline
45 & 26677 & 26780 & 26793.3 & -13.2656 & -103.026 \tabularnewline
46 & 26701 & 26796.3 & 26921.5 & -125.245 & -95.2969 \tabularnewline
47 & 26808 & 26886.5 & 27045.6 & -159.12 & -78.4635 \tabularnewline
48 & 27469 & 27178.5 & 27157.8 & 20.6719 & 290.536 \tabularnewline
49 & 27586 & 27488.6 & 27264.9 & 223.708 & 97.4167 \tabularnewline
50 & 27567 & 27473.7 & 27377 & 96.6667 & 93.2917 \tabularnewline
51 & 27508 & 27423.3 & 27473.9 & -50.5781 & 84.6615 \tabularnewline
52 & 27444 & 27424.9 & 27549.5 & -124.625 & 19.125 \tabularnewline
53 & 27380 & 27339.2 & 27614.2 & -274.932 & 40.7656 \tabularnewline
54 & 27500 & 27344.1 & 27642.2 & -298.036 & 155.87 \tabularnewline
55 & 28217 & 28021.3 & 27646.5 & 374.839 & 195.703 \tabularnewline
56 & 28355 & 27977 & 27647 & 329.917 & 378.042 \tabularnewline
57 & 27627 & 27614.6 & 27627.8 & -13.2656 & 12.4323 \tabularnewline
58 & 27565 & 27469.9 & 27595.2 & -125.245 & 95.0781 \tabularnewline
59 & 27496 & 27395.5 & 27554.7 & -159.12 & 100.453 \tabularnewline
60 & 27453 & 27520.3 & 27499.6 & 20.6719 & -67.2552 \tabularnewline
61 & 27705 & 27656.5 & 27432.7 & 223.708 & 48.5417 \tabularnewline
62 & 27462 & 27444.3 & 27347.7 & 96.6667 & 17.6667 \tabularnewline
63 & 27152 & 27205.5 & 27256 & -50.5781 & -53.4635 \tabularnewline
64 & 27016 & 27044.2 & 27168.8 & -124.625 & -28.2083 \tabularnewline
65 & 26836 & 26797.6 & 27072.5 & -274.932 & 38.4323 \tabularnewline
66 & 26722 & 26682 & 26980.1 & -298.036 & 39.9531 \tabularnewline
67 & 27391 & 27281.3 & 26906.5 & 374.839 & 109.703 \tabularnewline
68 & 27139 & 27170 & 26840.1 & 329.917 & -31 \tabularnewline
69 & 26644 & 26756.5 & 26769.8 & -13.2656 & -112.526 \tabularnewline
70 & 26455 & 26567.1 & 26692.4 & -125.245 & -112.13 \tabularnewline
71 & 26294 & 26447.8 & 26606.9 & -159.12 & -153.797 \tabularnewline
72 & 26437 & 26537.7 & 26517 & 20.6719 & -100.714 \tabularnewline
73 & 26954 & 26646.2 & 26422.5 & 223.708 & 307.75 \tabularnewline
74 & 26620 & 26426 & 26329.3 & 96.6667 & 194 \tabularnewline
75 & 26307 & 26192.3 & 26242.9 & -50.5781 & 114.661 \tabularnewline
76 & 26003 & 26037 & 26161.6 & -124.625 & -33.9583 \tabularnewline
77 & 25798 & 25810.2 & 26085.1 & -274.932 & -12.1927 \tabularnewline
78 & 25603 & 25698.6 & 25996.7 & -298.036 & -95.6302 \tabularnewline
79 & 26242 & 26228.4 & 25853.6 & 374.839 & 13.5781 \tabularnewline
80 & 26051 & 26024.2 & 25694.3 & 329.917 & 26.7917 \tabularnewline
81 & 25658 & 25557.3 & 25570.5 & -13.2656 & 100.724 \tabularnewline
82 & 25489 & 25351.6 & 25476.8 & -125.245 & 137.411 \tabularnewline
83 & 25425 & 25256 & 25415.2 & -159.12 & 168.953 \tabularnewline
84 & 25183 & 25404.9 & 25384.2 & 20.6719 & -221.922 \tabularnewline
85 & 24774 & 25603.1 & 25379.4 & 223.708 & -829.083 \tabularnewline
86 & 24977 & 25501.7 & 25405 & 96.6667 & -524.708 \tabularnewline
87 & 24980 & 25420.3 & 25470.9 & -50.5781 & -440.339 \tabularnewline
88 & 25081 & 25447.6 & 25572.2 & -124.625 & -366.625 \tabularnewline
89 & 25240 & 25425.8 & 25700.8 & -274.932 & -185.818 \tabularnewline
90 & 25419 & 25575.5 & 25873.5 & -298.036 & -156.505 \tabularnewline
91 & 26309 & 26499.2 & 26124.3 & 374.839 & -190.172 \tabularnewline
92 & 26600 & 26742.2 & 26412.3 & 329.917 & -142.208 \tabularnewline
93 & 26690 & 26673.1 & 26686.3 & -13.2656 & 16.9323 \tabularnewline
94 & 26889 & 26823.8 & 26949 & -125.245 & 65.2448 \tabularnewline
95 & 27109 & 27036.5 & 27195.6 & -159.12 & 72.4948 \tabularnewline
96 & 27646 & 27456.7 & 27436 & 20.6719 & 189.328 \tabularnewline
97 & 28330 & 27891.9 & 27668.2 & 223.708 & 438.083 \tabularnewline
98 & 28332 & 27973.7 & 27877.1 & 96.6667 & 358.25 \tabularnewline
99 & 28202 & 28013.8 & 28064.3 & -50.5781 & 188.245 \tabularnewline
100 & 28163 & 28115.2 & 28239.8 & -124.625 & 47.7917 \tabularnewline
101 & 28077 & 28135.4 & 28410.4 & -274.932 & -58.4427 \tabularnewline
102 & 28351 & 28258 & 28556 & -298.036 & 92.9948 \tabularnewline
103 & 28950 & NA & NA & 374.839 & NA \tabularnewline
104 & 28972 & NA & NA & 329.917 & NA \tabularnewline
105 & 28812 & NA & NA & -13.2656 & NA \tabularnewline
106 & 28979 & NA & NA & -125.245 & NA \tabularnewline
107 & 29112 & NA & NA & -159.12 & NA \tabularnewline
108 & 29139 & NA & NA & 20.6719 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=284136&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]24158[/C][C]NA[/C][C]NA[/C][C]223.708[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]24359[/C][C]NA[/C][C]NA[/C][C]96.6667[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]24628[/C][C]NA[/C][C]NA[/C][C]-50.5781[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]25021[/C][C]NA[/C][C]NA[/C][C]-124.625[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]25315[/C][C]NA[/C][C]NA[/C][C]-274.932[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]25481[/C][C]NA[/C][C]NA[/C][C]-298.036[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]26043[/C][C]25996[/C][C]25621.2[/C][C]374.839[/C][C]46.9531[/C][/ROW]
[ROW][C]8[/C][C]26207[/C][C]26107.1[/C][C]25777.2[/C][C]329.917[/C][C]99.875[/C][/ROW]
[ROW][C]9[/C][C]26466[/C][C]25880.7[/C][C]25894[/C][C]-13.2656[/C][C]585.266[/C][/ROW]
[ROW][C]10[/C][C]26276[/C][C]25847.8[/C][C]25973[/C][C]-125.245[/C][C]428.203[/C][/ROW]
[ROW][C]11[/C][C]26236[/C][C]25851.7[/C][C]26010.8[/C][C]-159.12[/C][C]384.286[/C][/ROW]
[ROW][C]12[/C][C]26211[/C][C]26022.6[/C][C]26002[/C][C]20.6719[/C][C]188.37[/C][/ROW]
[ROW][C]13[/C][C]26265[/C][C]26197.6[/C][C]25973.9[/C][C]223.708[/C][C]67.375[/C][/ROW]
[ROW][C]14[/C][C]25996[/C][C]26034.5[/C][C]25937.8[/C][C]96.6667[/C][C]-38.4583[/C][/ROW]
[ROW][C]15[/C][C]25794[/C][C]25807.6[/C][C]25858.2[/C][C]-50.5781[/C][C]-13.5885[/C][/ROW]
[ROW][C]16[/C][C]25752[/C][C]25626.8[/C][C]25751.4[/C][C]-124.625[/C][C]125.208[/C][/ROW]
[ROW][C]17[/C][C]25491[/C][C]25374.2[/C][C]25649.1[/C][C]-274.932[/C][C]116.849[/C][/ROW]
[ROW][C]18[/C][C]25092[/C][C]25259.8[/C][C]25557.9[/C][C]-298.036[/C][C]-167.839[/C][/ROW]
[ROW][C]19[/C][C]25759[/C][C]25860.3[/C][C]25485.4[/C][C]374.839[/C][C]-101.255[/C][/ROW]
[ROW][C]20[/C][C]25624[/C][C]25752.9[/C][C]25423[/C][C]329.917[/C][C]-128.875[/C][/ROW]
[ROW][C]21[/C][C]25138[/C][C]25353.4[/C][C]25366.7[/C][C]-13.2656[/C][C]-215.401[/C][/ROW]
[ROW][C]22[/C][C]25042[/C][C]25197.9[/C][C]25323.2[/C][C]-125.245[/C][C]-155.922[/C][/ROW]
[ROW][C]23[/C][C]25014[/C][C]25124.7[/C][C]25283.8[/C][C]-159.12[/C][C]-110.672[/C][/ROW]
[ROW][C]24[/C][C]25244[/C][C]25272.5[/C][C]25251.9[/C][C]20.6719[/C][C]-28.5469[/C][/ROW]
[ROW][C]25[/C][C]25493[/C][C]25455.5[/C][C]25231.8[/C][C]223.708[/C][C]37.5[/C][/ROW]
[ROW][C]26[/C][C]25269[/C][C]25309.2[/C][C]25212.5[/C][C]96.6667[/C][C]-40.2083[/C][/ROW]
[ROW][C]27[/C][C]25170[/C][C]25148.2[/C][C]25198.8[/C][C]-50.5781[/C][C]21.8281[/C][/ROW]
[ROW][C]28[/C][C]25332[/C][C]25063.4[/C][C]25188[/C][C]-124.625[/C][C]268.583[/C][/ROW]
[ROW][C]29[/C][C]24966[/C][C]24902.4[/C][C]25177.4[/C][C]-274.932[/C][C]63.5573[/C][/ROW]
[ROW][C]30[/C][C]24851[/C][C]24877.8[/C][C]25175.9[/C][C]-298.036[/C][C]-26.8385[/C][/ROW]
[ROW][C]31[/C][C]25518[/C][C]25563.1[/C][C]25188.3[/C][C]374.839[/C][C]-45.1302[/C][/ROW]
[ROW][C]32[/C][C]25403[/C][C]25550.6[/C][C]25220.7[/C][C]329.917[/C][C]-147.625[/C][/ROW]
[ROW][C]33[/C][C]25028[/C][C]25263.7[/C][C]25277[/C][C]-13.2656[/C][C]-235.693[/C][/ROW]
[ROW][C]34[/C][C]24895[/C][C]25208.9[/C][C]25334.1[/C][C]-125.245[/C][C]-313.88[/C][/ROW]
[ROW][C]35[/C][C]24905[/C][C]25239.5[/C][C]25398.7[/C][C]-159.12[/C][C]-334.547[/C][/ROW]
[ROW][C]36[/C][C]25317[/C][C]25518.1[/C][C]25497.4[/C][C]20.6719[/C][C]-201.089[/C][/ROW]
[ROW][C]37[/C][C]25718[/C][C]25836.9[/C][C]25613.2[/C][C]223.708[/C][C]-118.875[/C][/ROW]
[ROW][C]38[/C][C]25822[/C][C]25833.1[/C][C]25736.5[/C][C]96.6667[/C][C]-11.125[/C][/ROW]
[ROW][C]39[/C][C]25967[/C][C]25820.3[/C][C]25870.9[/C][C]-50.5781[/C][C]146.703[/C][/ROW]
[ROW][C]40[/C][C]25907[/C][C]25890.2[/C][C]26014.8[/C][C]-124.625[/C][C]16.7917[/C][/ROW]
[ROW][C]41[/C][C]25940[/C][C]25894.4[/C][C]26169.4[/C][C]-274.932[/C][C]45.5573[/C][/ROW]
[ROW][C]42[/C][C]26247[/C][C]26040.3[/C][C]26338.3[/C][C]-298.036[/C][C]206.703[/C][/ROW]
[ROW][C]43[/C][C]26900[/C][C]26880.7[/C][C]26505.8[/C][C]374.839[/C][C]19.3281[/C][/ROW]
[ROW][C]44[/C][C]26980[/C][C]26986.3[/C][C]26656.4[/C][C]329.917[/C][C]-6.29167[/C][/ROW]
[ROW][C]45[/C][C]26677[/C][C]26780[/C][C]26793.3[/C][C]-13.2656[/C][C]-103.026[/C][/ROW]
[ROW][C]46[/C][C]26701[/C][C]26796.3[/C][C]26921.5[/C][C]-125.245[/C][C]-95.2969[/C][/ROW]
[ROW][C]47[/C][C]26808[/C][C]26886.5[/C][C]27045.6[/C][C]-159.12[/C][C]-78.4635[/C][/ROW]
[ROW][C]48[/C][C]27469[/C][C]27178.5[/C][C]27157.8[/C][C]20.6719[/C][C]290.536[/C][/ROW]
[ROW][C]49[/C][C]27586[/C][C]27488.6[/C][C]27264.9[/C][C]223.708[/C][C]97.4167[/C][/ROW]
[ROW][C]50[/C][C]27567[/C][C]27473.7[/C][C]27377[/C][C]96.6667[/C][C]93.2917[/C][/ROW]
[ROW][C]51[/C][C]27508[/C][C]27423.3[/C][C]27473.9[/C][C]-50.5781[/C][C]84.6615[/C][/ROW]
[ROW][C]52[/C][C]27444[/C][C]27424.9[/C][C]27549.5[/C][C]-124.625[/C][C]19.125[/C][/ROW]
[ROW][C]53[/C][C]27380[/C][C]27339.2[/C][C]27614.2[/C][C]-274.932[/C][C]40.7656[/C][/ROW]
[ROW][C]54[/C][C]27500[/C][C]27344.1[/C][C]27642.2[/C][C]-298.036[/C][C]155.87[/C][/ROW]
[ROW][C]55[/C][C]28217[/C][C]28021.3[/C][C]27646.5[/C][C]374.839[/C][C]195.703[/C][/ROW]
[ROW][C]56[/C][C]28355[/C][C]27977[/C][C]27647[/C][C]329.917[/C][C]378.042[/C][/ROW]
[ROW][C]57[/C][C]27627[/C][C]27614.6[/C][C]27627.8[/C][C]-13.2656[/C][C]12.4323[/C][/ROW]
[ROW][C]58[/C][C]27565[/C][C]27469.9[/C][C]27595.2[/C][C]-125.245[/C][C]95.0781[/C][/ROW]
[ROW][C]59[/C][C]27496[/C][C]27395.5[/C][C]27554.7[/C][C]-159.12[/C][C]100.453[/C][/ROW]
[ROW][C]60[/C][C]27453[/C][C]27520.3[/C][C]27499.6[/C][C]20.6719[/C][C]-67.2552[/C][/ROW]
[ROW][C]61[/C][C]27705[/C][C]27656.5[/C][C]27432.7[/C][C]223.708[/C][C]48.5417[/C][/ROW]
[ROW][C]62[/C][C]27462[/C][C]27444.3[/C][C]27347.7[/C][C]96.6667[/C][C]17.6667[/C][/ROW]
[ROW][C]63[/C][C]27152[/C][C]27205.5[/C][C]27256[/C][C]-50.5781[/C][C]-53.4635[/C][/ROW]
[ROW][C]64[/C][C]27016[/C][C]27044.2[/C][C]27168.8[/C][C]-124.625[/C][C]-28.2083[/C][/ROW]
[ROW][C]65[/C][C]26836[/C][C]26797.6[/C][C]27072.5[/C][C]-274.932[/C][C]38.4323[/C][/ROW]
[ROW][C]66[/C][C]26722[/C][C]26682[/C][C]26980.1[/C][C]-298.036[/C][C]39.9531[/C][/ROW]
[ROW][C]67[/C][C]27391[/C][C]27281.3[/C][C]26906.5[/C][C]374.839[/C][C]109.703[/C][/ROW]
[ROW][C]68[/C][C]27139[/C][C]27170[/C][C]26840.1[/C][C]329.917[/C][C]-31[/C][/ROW]
[ROW][C]69[/C][C]26644[/C][C]26756.5[/C][C]26769.8[/C][C]-13.2656[/C][C]-112.526[/C][/ROW]
[ROW][C]70[/C][C]26455[/C][C]26567.1[/C][C]26692.4[/C][C]-125.245[/C][C]-112.13[/C][/ROW]
[ROW][C]71[/C][C]26294[/C][C]26447.8[/C][C]26606.9[/C][C]-159.12[/C][C]-153.797[/C][/ROW]
[ROW][C]72[/C][C]26437[/C][C]26537.7[/C][C]26517[/C][C]20.6719[/C][C]-100.714[/C][/ROW]
[ROW][C]73[/C][C]26954[/C][C]26646.2[/C][C]26422.5[/C][C]223.708[/C][C]307.75[/C][/ROW]
[ROW][C]74[/C][C]26620[/C][C]26426[/C][C]26329.3[/C][C]96.6667[/C][C]194[/C][/ROW]
[ROW][C]75[/C][C]26307[/C][C]26192.3[/C][C]26242.9[/C][C]-50.5781[/C][C]114.661[/C][/ROW]
[ROW][C]76[/C][C]26003[/C][C]26037[/C][C]26161.6[/C][C]-124.625[/C][C]-33.9583[/C][/ROW]
[ROW][C]77[/C][C]25798[/C][C]25810.2[/C][C]26085.1[/C][C]-274.932[/C][C]-12.1927[/C][/ROW]
[ROW][C]78[/C][C]25603[/C][C]25698.6[/C][C]25996.7[/C][C]-298.036[/C][C]-95.6302[/C][/ROW]
[ROW][C]79[/C][C]26242[/C][C]26228.4[/C][C]25853.6[/C][C]374.839[/C][C]13.5781[/C][/ROW]
[ROW][C]80[/C][C]26051[/C][C]26024.2[/C][C]25694.3[/C][C]329.917[/C][C]26.7917[/C][/ROW]
[ROW][C]81[/C][C]25658[/C][C]25557.3[/C][C]25570.5[/C][C]-13.2656[/C][C]100.724[/C][/ROW]
[ROW][C]82[/C][C]25489[/C][C]25351.6[/C][C]25476.8[/C][C]-125.245[/C][C]137.411[/C][/ROW]
[ROW][C]83[/C][C]25425[/C][C]25256[/C][C]25415.2[/C][C]-159.12[/C][C]168.953[/C][/ROW]
[ROW][C]84[/C][C]25183[/C][C]25404.9[/C][C]25384.2[/C][C]20.6719[/C][C]-221.922[/C][/ROW]
[ROW][C]85[/C][C]24774[/C][C]25603.1[/C][C]25379.4[/C][C]223.708[/C][C]-829.083[/C][/ROW]
[ROW][C]86[/C][C]24977[/C][C]25501.7[/C][C]25405[/C][C]96.6667[/C][C]-524.708[/C][/ROW]
[ROW][C]87[/C][C]24980[/C][C]25420.3[/C][C]25470.9[/C][C]-50.5781[/C][C]-440.339[/C][/ROW]
[ROW][C]88[/C][C]25081[/C][C]25447.6[/C][C]25572.2[/C][C]-124.625[/C][C]-366.625[/C][/ROW]
[ROW][C]89[/C][C]25240[/C][C]25425.8[/C][C]25700.8[/C][C]-274.932[/C][C]-185.818[/C][/ROW]
[ROW][C]90[/C][C]25419[/C][C]25575.5[/C][C]25873.5[/C][C]-298.036[/C][C]-156.505[/C][/ROW]
[ROW][C]91[/C][C]26309[/C][C]26499.2[/C][C]26124.3[/C][C]374.839[/C][C]-190.172[/C][/ROW]
[ROW][C]92[/C][C]26600[/C][C]26742.2[/C][C]26412.3[/C][C]329.917[/C][C]-142.208[/C][/ROW]
[ROW][C]93[/C][C]26690[/C][C]26673.1[/C][C]26686.3[/C][C]-13.2656[/C][C]16.9323[/C][/ROW]
[ROW][C]94[/C][C]26889[/C][C]26823.8[/C][C]26949[/C][C]-125.245[/C][C]65.2448[/C][/ROW]
[ROW][C]95[/C][C]27109[/C][C]27036.5[/C][C]27195.6[/C][C]-159.12[/C][C]72.4948[/C][/ROW]
[ROW][C]96[/C][C]27646[/C][C]27456.7[/C][C]27436[/C][C]20.6719[/C][C]189.328[/C][/ROW]
[ROW][C]97[/C][C]28330[/C][C]27891.9[/C][C]27668.2[/C][C]223.708[/C][C]438.083[/C][/ROW]
[ROW][C]98[/C][C]28332[/C][C]27973.7[/C][C]27877.1[/C][C]96.6667[/C][C]358.25[/C][/ROW]
[ROW][C]99[/C][C]28202[/C][C]28013.8[/C][C]28064.3[/C][C]-50.5781[/C][C]188.245[/C][/ROW]
[ROW][C]100[/C][C]28163[/C][C]28115.2[/C][C]28239.8[/C][C]-124.625[/C][C]47.7917[/C][/ROW]
[ROW][C]101[/C][C]28077[/C][C]28135.4[/C][C]28410.4[/C][C]-274.932[/C][C]-58.4427[/C][/ROW]
[ROW][C]102[/C][C]28351[/C][C]28258[/C][C]28556[/C][C]-298.036[/C][C]92.9948[/C][/ROW]
[ROW][C]103[/C][C]28950[/C][C]NA[/C][C]NA[/C][C]374.839[/C][C]NA[/C][/ROW]
[ROW][C]104[/C][C]28972[/C][C]NA[/C][C]NA[/C][C]329.917[/C][C]NA[/C][/ROW]
[ROW][C]105[/C][C]28812[/C][C]NA[/C][C]NA[/C][C]-13.2656[/C][C]NA[/C][/ROW]
[ROW][C]106[/C][C]28979[/C][C]NA[/C][C]NA[/C][C]-125.245[/C][C]NA[/C][/ROW]
[ROW][C]107[/C][C]29112[/C][C]NA[/C][C]NA[/C][C]-159.12[/C][C]NA[/C][/ROW]
[ROW][C]108[/C][C]29139[/C][C]NA[/C][C]NA[/C][C]20.6719[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=284136&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=284136&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
124158NANA223.708NA
224359NANA96.6667NA
324628NANA-50.5781NA
425021NANA-124.625NA
525315NANA-274.932NA
625481NANA-298.036NA
7260432599625621.2374.83946.9531
82620726107.125777.2329.91799.875
92646625880.725894-13.2656585.266
102627625847.825973-125.245428.203
112623625851.726010.8-159.12384.286
122621126022.62600220.6719188.37
132626526197.625973.9223.70867.375
142599626034.525937.896.6667-38.4583
152579425807.625858.2-50.5781-13.5885
162575225626.825751.4-124.625125.208
172549125374.225649.1-274.932116.849
182509225259.825557.9-298.036-167.839
192575925860.325485.4374.839-101.255
202562425752.925423329.917-128.875
212513825353.425366.7-13.2656-215.401
222504225197.925323.2-125.245-155.922
232501425124.725283.8-159.12-110.672
242524425272.525251.920.6719-28.5469
252549325455.525231.8223.70837.5
262526925309.225212.596.6667-40.2083
272517025148.225198.8-50.578121.8281
282533225063.425188-124.625268.583
292496624902.425177.4-274.93263.5573
302485124877.825175.9-298.036-26.8385
312551825563.125188.3374.839-45.1302
322540325550.625220.7329.917-147.625
332502825263.725277-13.2656-235.693
342489525208.925334.1-125.245-313.88
352490525239.525398.7-159.12-334.547
362531725518.125497.420.6719-201.089
372571825836.925613.2223.708-118.875
382582225833.125736.596.6667-11.125
392596725820.325870.9-50.5781146.703
402590725890.226014.8-124.62516.7917
412594025894.426169.4-274.93245.5573
422624726040.326338.3-298.036206.703
432690026880.726505.8374.83919.3281
442698026986.326656.4329.917-6.29167
45266772678026793.3-13.2656-103.026
462670126796.326921.5-125.245-95.2969
472680826886.527045.6-159.12-78.4635
482746927178.527157.820.6719290.536
492758627488.627264.9223.70897.4167
502756727473.72737796.666793.2917
512750827423.327473.9-50.578184.6615
522744427424.927549.5-124.62519.125
532738027339.227614.2-274.93240.7656
542750027344.127642.2-298.036155.87
552821728021.327646.5374.839195.703
56283552797727647329.917378.042
572762727614.627627.8-13.265612.4323
582756527469.927595.2-125.24595.0781
592749627395.527554.7-159.12100.453
602745327520.327499.620.6719-67.2552
612770527656.527432.7223.70848.5417
622746227444.327347.796.666717.6667
632715227205.527256-50.5781-53.4635
642701627044.227168.8-124.625-28.2083
652683626797.627072.5-274.93238.4323
66267222668226980.1-298.03639.9531
672739127281.326906.5374.839109.703
68271392717026840.1329.917-31
692664426756.526769.8-13.2656-112.526
702645526567.126692.4-125.245-112.13
712629426447.826606.9-159.12-153.797
722643726537.72651720.6719-100.714
732695426646.226422.5223.708307.75
74266202642626329.396.6667194
752630726192.326242.9-50.5781114.661
76260032603726161.6-124.625-33.9583
772579825810.226085.1-274.932-12.1927
782560325698.625996.7-298.036-95.6302
792624226228.425853.6374.83913.5781
802605126024.225694.3329.91726.7917
812565825557.325570.5-13.2656100.724
822548925351.625476.8-125.245137.411
83254252525625415.2-159.12168.953
842518325404.925384.220.6719-221.922
852477425603.125379.4223.708-829.083
862497725501.72540596.6667-524.708
872498025420.325470.9-50.5781-440.339
882508125447.625572.2-124.625-366.625
892524025425.825700.8-274.932-185.818
902541925575.525873.5-298.036-156.505
912630926499.226124.3374.839-190.172
922660026742.226412.3329.917-142.208
932669026673.126686.3-13.265616.9323
942688926823.826949-125.24565.2448
952710927036.527195.6-159.1272.4948
962764627456.72743620.6719189.328
972833027891.927668.2223.708438.083
982833227973.727877.196.6667358.25
992820228013.828064.3-50.5781188.245
1002816328115.228239.8-124.62547.7917
1012807728135.428410.4-274.932-58.4427
102283512825828556-298.03692.9948
10328950NANA374.839NA
10428972NANA329.917NA
10528812NANA-13.2656NA
10628979NANA-125.245NA
10729112NANA-159.12NA
10829139NANA20.6719NA



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')