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Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationSun, 31 Jul 2016 11:56:36 +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/Jul/31/t1469962705euibmblic9qy2xs.htm/, Retrieved Sat, 04 May 2024 14:20:02 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=295972, Retrieved Sat, 04 May 2024 14:20:02 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact146
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [] [2016-07-31 10:56:36] [1b498ae19017f51f703ef2d779b672b0] [Current]
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Dataseries X:
36439.00
36368.00
36290.00
36147.00
37615.00
37543.00
36439.00
35705.00
35777.00
35777.00
35848.00
35998.00
35998.00
35335.00
35043.00
35335.00
36368.00
36218.00
34822.00
33640.00
33419.00
32977.00
33276.00
33640.00
33497.00
33198.00
32614.00
33198.00
33718.00
33568.00
31873.00
31139.00
30405.00
29814.00
29743.00
30184.00
29593.00
29372.00
29151.00
30405.00
30548.00
29814.00
27826.00
26943.00
25547.00
24955.00
25247.00
25689.00
25689.00
25326.00
25247.00
26430.00
27385.00
26943.00
25468.00
24735.00
23189.00
22234.00
22968.00
23702.00
23702.00
22747.00
22676.00
23922.00
24735.00
24442.00
22968.00
22013.00
19947.00
19142.00
19434.00
20688.00
20759.00
18921.00
19584.00
21201.00
21935.00
21493.00
19506.00
18109.00
16492.00
15238.00
15751.00
16855.00
16563.00
14946.00
15459.00
17076.00
17960.00
17447.00
15459.00
14576.00
13251.00
11854.00
12075.00
13179.00
13322.00
11997.00
12218.00
14063.00
14504.00
13764.00
11042.00
9646.00
7801.00
5963.00
6554.00
7359.00
7217.00
5813.00
6625.00
8613.00
9496.00
9055.00
7288.00
5892.00
4417.00
2721.00
3021.00
3534.00




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 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 & 3 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=295972&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]3 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=295972&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=295972&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 time3 seconds
R Server'Sir Ronald Aylmer Fisher' @ fisher.wessa.net







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
136439NANA-80.1304NA
236368NANA-772.149NA
336290NANA-382.052NA
436147NANA1207.95NA
537615NANA2224.74NA
637543NANA2093.12NA
73643936741.536310.5431.059-302.518
83570535968.336249-280.751-263.291
93577734965.636154-1188.4811.357
103577734269.836068.2-1798.481507.23
113584834768.535982.5-1213.941079.48
123599835634.335875.3-240.978363.686
133599835672.635752.7-80.1304325.422
143533534827.135599.3-772.149507.857
153504335032.935415-382.05210.0517
16353353640835200.11207.95-1073.03
17363683720134976.22224.74-832.99
18362183686434770.82093.12-645.958
193482234999.434568.4431.059-177.434
203364034094.434375.1-280.751-454.374
213341932996.534184.9-1188.4422.524
223297732196.133994.6-1798.48780.853
233327632581.233795.2-1213.94694.769
243364033333.433574.3-240.978306.644
253349733260.933341-80.1304236.089
263319832341.833114-772.149856.191
273261432502.132884.2-382.052111.885
283319833834.732626.81207.95-636.74
293371834572.532347.82224.74-854.532
303356834149.732056.62093.12-581.708
31318733218131749.9431.059-307.976
323113931147.131427.8-280.751-8.08256
333040529935.731124.1-1188.4469.274
34298142906530863.5-1798.48749.019
352974329401.130615-1213.94341.936
363018430085.530326.5-240.97898.4776
372959329921.330001.5-80.1304-328.328
382937228885.929658-772.149486.149
392915128898.729280.7-382.052252.302
403040530083.828875.91207.95321.177
413054830710.828486.12224.74-162.823
422981430204.628111.52093.12-390.583
432782628192.627761.5431.059-366.559
442694327149.527430.2-280.751-206.499
452554725910.627099-1188.4-363.601
462495524972.226770.7-1798.48-17.2307
472524725259.426473.3-1213.94-12.3557
482568925980.926221.9-240.978-291.897
492568925923.926004-80.1304-234.87
502532625041.625813.8-772.149284.399
512524725241.425623.5-382.0525.5517
522643026619.825411.91207.95-189.823
532738527428.325203.52224.74-43.2816
542694327118.925025.82093.12-175.916
552546825291.324860.2431.059176.732
562473524389.224670-280.751345.792
57231892326724455.4-1188.4-77.9761
582223422445.324243.7-1798.48-211.272
592296822814.924028.8-1213.94153.103
602370223573.223814.2-240.978128.769
612370223525.723605.8-80.1304176.297
622274722616.123388.2-772.149130.899
632267622757.723139.8-382.052-81.6983
642392224083.822875.81207.95-161.782
652473524824.522599.82224.74-89.49
66244422442022326.92093.1221.9591
672296822509.822078.7431.059458.232
682201321515.921796.7-280.751497.084
69199472032021508.4-1188.4-373.018
701914219467.721266.2-1798.48-325.731
711943419822.221036.2-1213.94-388.231
722068820555.620796.6-240.978132.353
732075920449.420529.5-80.1304309.63
741892119450.420222.6-772.149-529.434
751958419533.919916-382.05250.0934
762120120817.319609.31207.95383.718
772193521517.919293.22224.74417.052
782149321073.2189802093.12419.834
791950619076.618645.5431.059429.441
801810918024.318305-280.75184.7091
811649216779.117967.5-1188.4-287.143
821523815825.317623.8-1798.48-587.314
831575116072.417286.3-1213.94-321.356
841685516711.116952.1-240.978143.894
851656316534.716614.9-80.130428.2554
861494615526.916299-772.149-580.893
871545915634.716016.8-382.052-175.74
881707616948.715740.81207.95127.302
891796017671.315446.62224.74288.677
901744717233.415140.22093.12213.626
911545915283.114852431.059175.899
921457614313.414594.1-280.751262.626
931325113147.814336.2-1188.4103.191
941185412277.114075.6-1798.48-423.147
951207512592.113806.1-1213.94-517.147
961317913267.613508.6-240.978-88.6474
97133221309113171.1-80.1304231.005
981199712009.512781.7-772.149-12.5177
991221811967.112349.2-382.052250.885
1001406313084.611876.61207.95978.427
1011450413625.911401.12224.74878.135
1021376413021.710928.62093.12742.292
1031104210862.810431.7431.059179.232
10496469638.929919.67-280.7517.0841
10578018240.569428.96-1188.4-439.559
10659637170.368968.83-1798.48-1207.36
10765547319.158533.08-1213.94-765.147
10873597887.238128.21-240.978-528.231
10972177695.457775.58-80.1304-478.453
11058136690.67462.75-772.149-877.601
11166256783.287165.33-382.052-158.282
11286138097.26889.251207.95515.802
11394968831.76606.962224.74664.302
11490558393.56300.382093.12661.501
1157288NANA431.059NA
1165892NANA-280.751NA
1174417NANA-1188.4NA
1182721NANA-1798.48NA
1193021NANA-1213.94NA
1203534NANA-240.978NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 36439 & NA & NA & -80.1304 & NA \tabularnewline
2 & 36368 & NA & NA & -772.149 & NA \tabularnewline
3 & 36290 & NA & NA & -382.052 & NA \tabularnewline
4 & 36147 & NA & NA & 1207.95 & NA \tabularnewline
5 & 37615 & NA & NA & 2224.74 & NA \tabularnewline
6 & 37543 & NA & NA & 2093.12 & NA \tabularnewline
7 & 36439 & 36741.5 & 36310.5 & 431.059 & -302.518 \tabularnewline
8 & 35705 & 35968.3 & 36249 & -280.751 & -263.291 \tabularnewline
9 & 35777 & 34965.6 & 36154 & -1188.4 & 811.357 \tabularnewline
10 & 35777 & 34269.8 & 36068.2 & -1798.48 & 1507.23 \tabularnewline
11 & 35848 & 34768.5 & 35982.5 & -1213.94 & 1079.48 \tabularnewline
12 & 35998 & 35634.3 & 35875.3 & -240.978 & 363.686 \tabularnewline
13 & 35998 & 35672.6 & 35752.7 & -80.1304 & 325.422 \tabularnewline
14 & 35335 & 34827.1 & 35599.3 & -772.149 & 507.857 \tabularnewline
15 & 35043 & 35032.9 & 35415 & -382.052 & 10.0517 \tabularnewline
16 & 35335 & 36408 & 35200.1 & 1207.95 & -1073.03 \tabularnewline
17 & 36368 & 37201 & 34976.2 & 2224.74 & -832.99 \tabularnewline
18 & 36218 & 36864 & 34770.8 & 2093.12 & -645.958 \tabularnewline
19 & 34822 & 34999.4 & 34568.4 & 431.059 & -177.434 \tabularnewline
20 & 33640 & 34094.4 & 34375.1 & -280.751 & -454.374 \tabularnewline
21 & 33419 & 32996.5 & 34184.9 & -1188.4 & 422.524 \tabularnewline
22 & 32977 & 32196.1 & 33994.6 & -1798.48 & 780.853 \tabularnewline
23 & 33276 & 32581.2 & 33795.2 & -1213.94 & 694.769 \tabularnewline
24 & 33640 & 33333.4 & 33574.3 & -240.978 & 306.644 \tabularnewline
25 & 33497 & 33260.9 & 33341 & -80.1304 & 236.089 \tabularnewline
26 & 33198 & 32341.8 & 33114 & -772.149 & 856.191 \tabularnewline
27 & 32614 & 32502.1 & 32884.2 & -382.052 & 111.885 \tabularnewline
28 & 33198 & 33834.7 & 32626.8 & 1207.95 & -636.74 \tabularnewline
29 & 33718 & 34572.5 & 32347.8 & 2224.74 & -854.532 \tabularnewline
30 & 33568 & 34149.7 & 32056.6 & 2093.12 & -581.708 \tabularnewline
31 & 31873 & 32181 & 31749.9 & 431.059 & -307.976 \tabularnewline
32 & 31139 & 31147.1 & 31427.8 & -280.751 & -8.08256 \tabularnewline
33 & 30405 & 29935.7 & 31124.1 & -1188.4 & 469.274 \tabularnewline
34 & 29814 & 29065 & 30863.5 & -1798.48 & 749.019 \tabularnewline
35 & 29743 & 29401.1 & 30615 & -1213.94 & 341.936 \tabularnewline
36 & 30184 & 30085.5 & 30326.5 & -240.978 & 98.4776 \tabularnewline
37 & 29593 & 29921.3 & 30001.5 & -80.1304 & -328.328 \tabularnewline
38 & 29372 & 28885.9 & 29658 & -772.149 & 486.149 \tabularnewline
39 & 29151 & 28898.7 & 29280.7 & -382.052 & 252.302 \tabularnewline
40 & 30405 & 30083.8 & 28875.9 & 1207.95 & 321.177 \tabularnewline
41 & 30548 & 30710.8 & 28486.1 & 2224.74 & -162.823 \tabularnewline
42 & 29814 & 30204.6 & 28111.5 & 2093.12 & -390.583 \tabularnewline
43 & 27826 & 28192.6 & 27761.5 & 431.059 & -366.559 \tabularnewline
44 & 26943 & 27149.5 & 27430.2 & -280.751 & -206.499 \tabularnewline
45 & 25547 & 25910.6 & 27099 & -1188.4 & -363.601 \tabularnewline
46 & 24955 & 24972.2 & 26770.7 & -1798.48 & -17.2307 \tabularnewline
47 & 25247 & 25259.4 & 26473.3 & -1213.94 & -12.3557 \tabularnewline
48 & 25689 & 25980.9 & 26221.9 & -240.978 & -291.897 \tabularnewline
49 & 25689 & 25923.9 & 26004 & -80.1304 & -234.87 \tabularnewline
50 & 25326 & 25041.6 & 25813.8 & -772.149 & 284.399 \tabularnewline
51 & 25247 & 25241.4 & 25623.5 & -382.052 & 5.5517 \tabularnewline
52 & 26430 & 26619.8 & 25411.9 & 1207.95 & -189.823 \tabularnewline
53 & 27385 & 27428.3 & 25203.5 & 2224.74 & -43.2816 \tabularnewline
54 & 26943 & 27118.9 & 25025.8 & 2093.12 & -175.916 \tabularnewline
55 & 25468 & 25291.3 & 24860.2 & 431.059 & 176.732 \tabularnewline
56 & 24735 & 24389.2 & 24670 & -280.751 & 345.792 \tabularnewline
57 & 23189 & 23267 & 24455.4 & -1188.4 & -77.9761 \tabularnewline
58 & 22234 & 22445.3 & 24243.7 & -1798.48 & -211.272 \tabularnewline
59 & 22968 & 22814.9 & 24028.8 & -1213.94 & 153.103 \tabularnewline
60 & 23702 & 23573.2 & 23814.2 & -240.978 & 128.769 \tabularnewline
61 & 23702 & 23525.7 & 23605.8 & -80.1304 & 176.297 \tabularnewline
62 & 22747 & 22616.1 & 23388.2 & -772.149 & 130.899 \tabularnewline
63 & 22676 & 22757.7 & 23139.8 & -382.052 & -81.6983 \tabularnewline
64 & 23922 & 24083.8 & 22875.8 & 1207.95 & -161.782 \tabularnewline
65 & 24735 & 24824.5 & 22599.8 & 2224.74 & -89.49 \tabularnewline
66 & 24442 & 24420 & 22326.9 & 2093.12 & 21.9591 \tabularnewline
67 & 22968 & 22509.8 & 22078.7 & 431.059 & 458.232 \tabularnewline
68 & 22013 & 21515.9 & 21796.7 & -280.751 & 497.084 \tabularnewline
69 & 19947 & 20320 & 21508.4 & -1188.4 & -373.018 \tabularnewline
70 & 19142 & 19467.7 & 21266.2 & -1798.48 & -325.731 \tabularnewline
71 & 19434 & 19822.2 & 21036.2 & -1213.94 & -388.231 \tabularnewline
72 & 20688 & 20555.6 & 20796.6 & -240.978 & 132.353 \tabularnewline
73 & 20759 & 20449.4 & 20529.5 & -80.1304 & 309.63 \tabularnewline
74 & 18921 & 19450.4 & 20222.6 & -772.149 & -529.434 \tabularnewline
75 & 19584 & 19533.9 & 19916 & -382.052 & 50.0934 \tabularnewline
76 & 21201 & 20817.3 & 19609.3 & 1207.95 & 383.718 \tabularnewline
77 & 21935 & 21517.9 & 19293.2 & 2224.74 & 417.052 \tabularnewline
78 & 21493 & 21073.2 & 18980 & 2093.12 & 419.834 \tabularnewline
79 & 19506 & 19076.6 & 18645.5 & 431.059 & 429.441 \tabularnewline
80 & 18109 & 18024.3 & 18305 & -280.751 & 84.7091 \tabularnewline
81 & 16492 & 16779.1 & 17967.5 & -1188.4 & -287.143 \tabularnewline
82 & 15238 & 15825.3 & 17623.8 & -1798.48 & -587.314 \tabularnewline
83 & 15751 & 16072.4 & 17286.3 & -1213.94 & -321.356 \tabularnewline
84 & 16855 & 16711.1 & 16952.1 & -240.978 & 143.894 \tabularnewline
85 & 16563 & 16534.7 & 16614.9 & -80.1304 & 28.2554 \tabularnewline
86 & 14946 & 15526.9 & 16299 & -772.149 & -580.893 \tabularnewline
87 & 15459 & 15634.7 & 16016.8 & -382.052 & -175.74 \tabularnewline
88 & 17076 & 16948.7 & 15740.8 & 1207.95 & 127.302 \tabularnewline
89 & 17960 & 17671.3 & 15446.6 & 2224.74 & 288.677 \tabularnewline
90 & 17447 & 17233.4 & 15140.2 & 2093.12 & 213.626 \tabularnewline
91 & 15459 & 15283.1 & 14852 & 431.059 & 175.899 \tabularnewline
92 & 14576 & 14313.4 & 14594.1 & -280.751 & 262.626 \tabularnewline
93 & 13251 & 13147.8 & 14336.2 & -1188.4 & 103.191 \tabularnewline
94 & 11854 & 12277.1 & 14075.6 & -1798.48 & -423.147 \tabularnewline
95 & 12075 & 12592.1 & 13806.1 & -1213.94 & -517.147 \tabularnewline
96 & 13179 & 13267.6 & 13508.6 & -240.978 & -88.6474 \tabularnewline
97 & 13322 & 13091 & 13171.1 & -80.1304 & 231.005 \tabularnewline
98 & 11997 & 12009.5 & 12781.7 & -772.149 & -12.5177 \tabularnewline
99 & 12218 & 11967.1 & 12349.2 & -382.052 & 250.885 \tabularnewline
100 & 14063 & 13084.6 & 11876.6 & 1207.95 & 978.427 \tabularnewline
101 & 14504 & 13625.9 & 11401.1 & 2224.74 & 878.135 \tabularnewline
102 & 13764 & 13021.7 & 10928.6 & 2093.12 & 742.292 \tabularnewline
103 & 11042 & 10862.8 & 10431.7 & 431.059 & 179.232 \tabularnewline
104 & 9646 & 9638.92 & 9919.67 & -280.751 & 7.0841 \tabularnewline
105 & 7801 & 8240.56 & 9428.96 & -1188.4 & -439.559 \tabularnewline
106 & 5963 & 7170.36 & 8968.83 & -1798.48 & -1207.36 \tabularnewline
107 & 6554 & 7319.15 & 8533.08 & -1213.94 & -765.147 \tabularnewline
108 & 7359 & 7887.23 & 8128.21 & -240.978 & -528.231 \tabularnewline
109 & 7217 & 7695.45 & 7775.58 & -80.1304 & -478.453 \tabularnewline
110 & 5813 & 6690.6 & 7462.75 & -772.149 & -877.601 \tabularnewline
111 & 6625 & 6783.28 & 7165.33 & -382.052 & -158.282 \tabularnewline
112 & 8613 & 8097.2 & 6889.25 & 1207.95 & 515.802 \tabularnewline
113 & 9496 & 8831.7 & 6606.96 & 2224.74 & 664.302 \tabularnewline
114 & 9055 & 8393.5 & 6300.38 & 2093.12 & 661.501 \tabularnewline
115 & 7288 & NA & NA & 431.059 & NA \tabularnewline
116 & 5892 & NA & NA & -280.751 & NA \tabularnewline
117 & 4417 & NA & NA & -1188.4 & NA \tabularnewline
118 & 2721 & NA & NA & -1798.48 & NA \tabularnewline
119 & 3021 & NA & NA & -1213.94 & NA \tabularnewline
120 & 3534 & NA & NA & -240.978 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=295972&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]36439[/C][C]NA[/C][C]NA[/C][C]-80.1304[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]36368[/C][C]NA[/C][C]NA[/C][C]-772.149[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]36290[/C][C]NA[/C][C]NA[/C][C]-382.052[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]36147[/C][C]NA[/C][C]NA[/C][C]1207.95[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]37615[/C][C]NA[/C][C]NA[/C][C]2224.74[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]37543[/C][C]NA[/C][C]NA[/C][C]2093.12[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]36439[/C][C]36741.5[/C][C]36310.5[/C][C]431.059[/C][C]-302.518[/C][/ROW]
[ROW][C]8[/C][C]35705[/C][C]35968.3[/C][C]36249[/C][C]-280.751[/C][C]-263.291[/C][/ROW]
[ROW][C]9[/C][C]35777[/C][C]34965.6[/C][C]36154[/C][C]-1188.4[/C][C]811.357[/C][/ROW]
[ROW][C]10[/C][C]35777[/C][C]34269.8[/C][C]36068.2[/C][C]-1798.48[/C][C]1507.23[/C][/ROW]
[ROW][C]11[/C][C]35848[/C][C]34768.5[/C][C]35982.5[/C][C]-1213.94[/C][C]1079.48[/C][/ROW]
[ROW][C]12[/C][C]35998[/C][C]35634.3[/C][C]35875.3[/C][C]-240.978[/C][C]363.686[/C][/ROW]
[ROW][C]13[/C][C]35998[/C][C]35672.6[/C][C]35752.7[/C][C]-80.1304[/C][C]325.422[/C][/ROW]
[ROW][C]14[/C][C]35335[/C][C]34827.1[/C][C]35599.3[/C][C]-772.149[/C][C]507.857[/C][/ROW]
[ROW][C]15[/C][C]35043[/C][C]35032.9[/C][C]35415[/C][C]-382.052[/C][C]10.0517[/C][/ROW]
[ROW][C]16[/C][C]35335[/C][C]36408[/C][C]35200.1[/C][C]1207.95[/C][C]-1073.03[/C][/ROW]
[ROW][C]17[/C][C]36368[/C][C]37201[/C][C]34976.2[/C][C]2224.74[/C][C]-832.99[/C][/ROW]
[ROW][C]18[/C][C]36218[/C][C]36864[/C][C]34770.8[/C][C]2093.12[/C][C]-645.958[/C][/ROW]
[ROW][C]19[/C][C]34822[/C][C]34999.4[/C][C]34568.4[/C][C]431.059[/C][C]-177.434[/C][/ROW]
[ROW][C]20[/C][C]33640[/C][C]34094.4[/C][C]34375.1[/C][C]-280.751[/C][C]-454.374[/C][/ROW]
[ROW][C]21[/C][C]33419[/C][C]32996.5[/C][C]34184.9[/C][C]-1188.4[/C][C]422.524[/C][/ROW]
[ROW][C]22[/C][C]32977[/C][C]32196.1[/C][C]33994.6[/C][C]-1798.48[/C][C]780.853[/C][/ROW]
[ROW][C]23[/C][C]33276[/C][C]32581.2[/C][C]33795.2[/C][C]-1213.94[/C][C]694.769[/C][/ROW]
[ROW][C]24[/C][C]33640[/C][C]33333.4[/C][C]33574.3[/C][C]-240.978[/C][C]306.644[/C][/ROW]
[ROW][C]25[/C][C]33497[/C][C]33260.9[/C][C]33341[/C][C]-80.1304[/C][C]236.089[/C][/ROW]
[ROW][C]26[/C][C]33198[/C][C]32341.8[/C][C]33114[/C][C]-772.149[/C][C]856.191[/C][/ROW]
[ROW][C]27[/C][C]32614[/C][C]32502.1[/C][C]32884.2[/C][C]-382.052[/C][C]111.885[/C][/ROW]
[ROW][C]28[/C][C]33198[/C][C]33834.7[/C][C]32626.8[/C][C]1207.95[/C][C]-636.74[/C][/ROW]
[ROW][C]29[/C][C]33718[/C][C]34572.5[/C][C]32347.8[/C][C]2224.74[/C][C]-854.532[/C][/ROW]
[ROW][C]30[/C][C]33568[/C][C]34149.7[/C][C]32056.6[/C][C]2093.12[/C][C]-581.708[/C][/ROW]
[ROW][C]31[/C][C]31873[/C][C]32181[/C][C]31749.9[/C][C]431.059[/C][C]-307.976[/C][/ROW]
[ROW][C]32[/C][C]31139[/C][C]31147.1[/C][C]31427.8[/C][C]-280.751[/C][C]-8.08256[/C][/ROW]
[ROW][C]33[/C][C]30405[/C][C]29935.7[/C][C]31124.1[/C][C]-1188.4[/C][C]469.274[/C][/ROW]
[ROW][C]34[/C][C]29814[/C][C]29065[/C][C]30863.5[/C][C]-1798.48[/C][C]749.019[/C][/ROW]
[ROW][C]35[/C][C]29743[/C][C]29401.1[/C][C]30615[/C][C]-1213.94[/C][C]341.936[/C][/ROW]
[ROW][C]36[/C][C]30184[/C][C]30085.5[/C][C]30326.5[/C][C]-240.978[/C][C]98.4776[/C][/ROW]
[ROW][C]37[/C][C]29593[/C][C]29921.3[/C][C]30001.5[/C][C]-80.1304[/C][C]-328.328[/C][/ROW]
[ROW][C]38[/C][C]29372[/C][C]28885.9[/C][C]29658[/C][C]-772.149[/C][C]486.149[/C][/ROW]
[ROW][C]39[/C][C]29151[/C][C]28898.7[/C][C]29280.7[/C][C]-382.052[/C][C]252.302[/C][/ROW]
[ROW][C]40[/C][C]30405[/C][C]30083.8[/C][C]28875.9[/C][C]1207.95[/C][C]321.177[/C][/ROW]
[ROW][C]41[/C][C]30548[/C][C]30710.8[/C][C]28486.1[/C][C]2224.74[/C][C]-162.823[/C][/ROW]
[ROW][C]42[/C][C]29814[/C][C]30204.6[/C][C]28111.5[/C][C]2093.12[/C][C]-390.583[/C][/ROW]
[ROW][C]43[/C][C]27826[/C][C]28192.6[/C][C]27761.5[/C][C]431.059[/C][C]-366.559[/C][/ROW]
[ROW][C]44[/C][C]26943[/C][C]27149.5[/C][C]27430.2[/C][C]-280.751[/C][C]-206.499[/C][/ROW]
[ROW][C]45[/C][C]25547[/C][C]25910.6[/C][C]27099[/C][C]-1188.4[/C][C]-363.601[/C][/ROW]
[ROW][C]46[/C][C]24955[/C][C]24972.2[/C][C]26770.7[/C][C]-1798.48[/C][C]-17.2307[/C][/ROW]
[ROW][C]47[/C][C]25247[/C][C]25259.4[/C][C]26473.3[/C][C]-1213.94[/C][C]-12.3557[/C][/ROW]
[ROW][C]48[/C][C]25689[/C][C]25980.9[/C][C]26221.9[/C][C]-240.978[/C][C]-291.897[/C][/ROW]
[ROW][C]49[/C][C]25689[/C][C]25923.9[/C][C]26004[/C][C]-80.1304[/C][C]-234.87[/C][/ROW]
[ROW][C]50[/C][C]25326[/C][C]25041.6[/C][C]25813.8[/C][C]-772.149[/C][C]284.399[/C][/ROW]
[ROW][C]51[/C][C]25247[/C][C]25241.4[/C][C]25623.5[/C][C]-382.052[/C][C]5.5517[/C][/ROW]
[ROW][C]52[/C][C]26430[/C][C]26619.8[/C][C]25411.9[/C][C]1207.95[/C][C]-189.823[/C][/ROW]
[ROW][C]53[/C][C]27385[/C][C]27428.3[/C][C]25203.5[/C][C]2224.74[/C][C]-43.2816[/C][/ROW]
[ROW][C]54[/C][C]26943[/C][C]27118.9[/C][C]25025.8[/C][C]2093.12[/C][C]-175.916[/C][/ROW]
[ROW][C]55[/C][C]25468[/C][C]25291.3[/C][C]24860.2[/C][C]431.059[/C][C]176.732[/C][/ROW]
[ROW][C]56[/C][C]24735[/C][C]24389.2[/C][C]24670[/C][C]-280.751[/C][C]345.792[/C][/ROW]
[ROW][C]57[/C][C]23189[/C][C]23267[/C][C]24455.4[/C][C]-1188.4[/C][C]-77.9761[/C][/ROW]
[ROW][C]58[/C][C]22234[/C][C]22445.3[/C][C]24243.7[/C][C]-1798.48[/C][C]-211.272[/C][/ROW]
[ROW][C]59[/C][C]22968[/C][C]22814.9[/C][C]24028.8[/C][C]-1213.94[/C][C]153.103[/C][/ROW]
[ROW][C]60[/C][C]23702[/C][C]23573.2[/C][C]23814.2[/C][C]-240.978[/C][C]128.769[/C][/ROW]
[ROW][C]61[/C][C]23702[/C][C]23525.7[/C][C]23605.8[/C][C]-80.1304[/C][C]176.297[/C][/ROW]
[ROW][C]62[/C][C]22747[/C][C]22616.1[/C][C]23388.2[/C][C]-772.149[/C][C]130.899[/C][/ROW]
[ROW][C]63[/C][C]22676[/C][C]22757.7[/C][C]23139.8[/C][C]-382.052[/C][C]-81.6983[/C][/ROW]
[ROW][C]64[/C][C]23922[/C][C]24083.8[/C][C]22875.8[/C][C]1207.95[/C][C]-161.782[/C][/ROW]
[ROW][C]65[/C][C]24735[/C][C]24824.5[/C][C]22599.8[/C][C]2224.74[/C][C]-89.49[/C][/ROW]
[ROW][C]66[/C][C]24442[/C][C]24420[/C][C]22326.9[/C][C]2093.12[/C][C]21.9591[/C][/ROW]
[ROW][C]67[/C][C]22968[/C][C]22509.8[/C][C]22078.7[/C][C]431.059[/C][C]458.232[/C][/ROW]
[ROW][C]68[/C][C]22013[/C][C]21515.9[/C][C]21796.7[/C][C]-280.751[/C][C]497.084[/C][/ROW]
[ROW][C]69[/C][C]19947[/C][C]20320[/C][C]21508.4[/C][C]-1188.4[/C][C]-373.018[/C][/ROW]
[ROW][C]70[/C][C]19142[/C][C]19467.7[/C][C]21266.2[/C][C]-1798.48[/C][C]-325.731[/C][/ROW]
[ROW][C]71[/C][C]19434[/C][C]19822.2[/C][C]21036.2[/C][C]-1213.94[/C][C]-388.231[/C][/ROW]
[ROW][C]72[/C][C]20688[/C][C]20555.6[/C][C]20796.6[/C][C]-240.978[/C][C]132.353[/C][/ROW]
[ROW][C]73[/C][C]20759[/C][C]20449.4[/C][C]20529.5[/C][C]-80.1304[/C][C]309.63[/C][/ROW]
[ROW][C]74[/C][C]18921[/C][C]19450.4[/C][C]20222.6[/C][C]-772.149[/C][C]-529.434[/C][/ROW]
[ROW][C]75[/C][C]19584[/C][C]19533.9[/C][C]19916[/C][C]-382.052[/C][C]50.0934[/C][/ROW]
[ROW][C]76[/C][C]21201[/C][C]20817.3[/C][C]19609.3[/C][C]1207.95[/C][C]383.718[/C][/ROW]
[ROW][C]77[/C][C]21935[/C][C]21517.9[/C][C]19293.2[/C][C]2224.74[/C][C]417.052[/C][/ROW]
[ROW][C]78[/C][C]21493[/C][C]21073.2[/C][C]18980[/C][C]2093.12[/C][C]419.834[/C][/ROW]
[ROW][C]79[/C][C]19506[/C][C]19076.6[/C][C]18645.5[/C][C]431.059[/C][C]429.441[/C][/ROW]
[ROW][C]80[/C][C]18109[/C][C]18024.3[/C][C]18305[/C][C]-280.751[/C][C]84.7091[/C][/ROW]
[ROW][C]81[/C][C]16492[/C][C]16779.1[/C][C]17967.5[/C][C]-1188.4[/C][C]-287.143[/C][/ROW]
[ROW][C]82[/C][C]15238[/C][C]15825.3[/C][C]17623.8[/C][C]-1798.48[/C][C]-587.314[/C][/ROW]
[ROW][C]83[/C][C]15751[/C][C]16072.4[/C][C]17286.3[/C][C]-1213.94[/C][C]-321.356[/C][/ROW]
[ROW][C]84[/C][C]16855[/C][C]16711.1[/C][C]16952.1[/C][C]-240.978[/C][C]143.894[/C][/ROW]
[ROW][C]85[/C][C]16563[/C][C]16534.7[/C][C]16614.9[/C][C]-80.1304[/C][C]28.2554[/C][/ROW]
[ROW][C]86[/C][C]14946[/C][C]15526.9[/C][C]16299[/C][C]-772.149[/C][C]-580.893[/C][/ROW]
[ROW][C]87[/C][C]15459[/C][C]15634.7[/C][C]16016.8[/C][C]-382.052[/C][C]-175.74[/C][/ROW]
[ROW][C]88[/C][C]17076[/C][C]16948.7[/C][C]15740.8[/C][C]1207.95[/C][C]127.302[/C][/ROW]
[ROW][C]89[/C][C]17960[/C][C]17671.3[/C][C]15446.6[/C][C]2224.74[/C][C]288.677[/C][/ROW]
[ROW][C]90[/C][C]17447[/C][C]17233.4[/C][C]15140.2[/C][C]2093.12[/C][C]213.626[/C][/ROW]
[ROW][C]91[/C][C]15459[/C][C]15283.1[/C][C]14852[/C][C]431.059[/C][C]175.899[/C][/ROW]
[ROW][C]92[/C][C]14576[/C][C]14313.4[/C][C]14594.1[/C][C]-280.751[/C][C]262.626[/C][/ROW]
[ROW][C]93[/C][C]13251[/C][C]13147.8[/C][C]14336.2[/C][C]-1188.4[/C][C]103.191[/C][/ROW]
[ROW][C]94[/C][C]11854[/C][C]12277.1[/C][C]14075.6[/C][C]-1798.48[/C][C]-423.147[/C][/ROW]
[ROW][C]95[/C][C]12075[/C][C]12592.1[/C][C]13806.1[/C][C]-1213.94[/C][C]-517.147[/C][/ROW]
[ROW][C]96[/C][C]13179[/C][C]13267.6[/C][C]13508.6[/C][C]-240.978[/C][C]-88.6474[/C][/ROW]
[ROW][C]97[/C][C]13322[/C][C]13091[/C][C]13171.1[/C][C]-80.1304[/C][C]231.005[/C][/ROW]
[ROW][C]98[/C][C]11997[/C][C]12009.5[/C][C]12781.7[/C][C]-772.149[/C][C]-12.5177[/C][/ROW]
[ROW][C]99[/C][C]12218[/C][C]11967.1[/C][C]12349.2[/C][C]-382.052[/C][C]250.885[/C][/ROW]
[ROW][C]100[/C][C]14063[/C][C]13084.6[/C][C]11876.6[/C][C]1207.95[/C][C]978.427[/C][/ROW]
[ROW][C]101[/C][C]14504[/C][C]13625.9[/C][C]11401.1[/C][C]2224.74[/C][C]878.135[/C][/ROW]
[ROW][C]102[/C][C]13764[/C][C]13021.7[/C][C]10928.6[/C][C]2093.12[/C][C]742.292[/C][/ROW]
[ROW][C]103[/C][C]11042[/C][C]10862.8[/C][C]10431.7[/C][C]431.059[/C][C]179.232[/C][/ROW]
[ROW][C]104[/C][C]9646[/C][C]9638.92[/C][C]9919.67[/C][C]-280.751[/C][C]7.0841[/C][/ROW]
[ROW][C]105[/C][C]7801[/C][C]8240.56[/C][C]9428.96[/C][C]-1188.4[/C][C]-439.559[/C][/ROW]
[ROW][C]106[/C][C]5963[/C][C]7170.36[/C][C]8968.83[/C][C]-1798.48[/C][C]-1207.36[/C][/ROW]
[ROW][C]107[/C][C]6554[/C][C]7319.15[/C][C]8533.08[/C][C]-1213.94[/C][C]-765.147[/C][/ROW]
[ROW][C]108[/C][C]7359[/C][C]7887.23[/C][C]8128.21[/C][C]-240.978[/C][C]-528.231[/C][/ROW]
[ROW][C]109[/C][C]7217[/C][C]7695.45[/C][C]7775.58[/C][C]-80.1304[/C][C]-478.453[/C][/ROW]
[ROW][C]110[/C][C]5813[/C][C]6690.6[/C][C]7462.75[/C][C]-772.149[/C][C]-877.601[/C][/ROW]
[ROW][C]111[/C][C]6625[/C][C]6783.28[/C][C]7165.33[/C][C]-382.052[/C][C]-158.282[/C][/ROW]
[ROW][C]112[/C][C]8613[/C][C]8097.2[/C][C]6889.25[/C][C]1207.95[/C][C]515.802[/C][/ROW]
[ROW][C]113[/C][C]9496[/C][C]8831.7[/C][C]6606.96[/C][C]2224.74[/C][C]664.302[/C][/ROW]
[ROW][C]114[/C][C]9055[/C][C]8393.5[/C][C]6300.38[/C][C]2093.12[/C][C]661.501[/C][/ROW]
[ROW][C]115[/C][C]7288[/C][C]NA[/C][C]NA[/C][C]431.059[/C][C]NA[/C][/ROW]
[ROW][C]116[/C][C]5892[/C][C]NA[/C][C]NA[/C][C]-280.751[/C][C]NA[/C][/ROW]
[ROW][C]117[/C][C]4417[/C][C]NA[/C][C]NA[/C][C]-1188.4[/C][C]NA[/C][/ROW]
[ROW][C]118[/C][C]2721[/C][C]NA[/C][C]NA[/C][C]-1798.48[/C][C]NA[/C][/ROW]
[ROW][C]119[/C][C]3021[/C][C]NA[/C][C]NA[/C][C]-1213.94[/C][C]NA[/C][/ROW]
[ROW][C]120[/C][C]3534[/C][C]NA[/C][C]NA[/C][C]-240.978[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=295972&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=295972&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
136439NANA-80.1304NA
236368NANA-772.149NA
336290NANA-382.052NA
436147NANA1207.95NA
537615NANA2224.74NA
637543NANA2093.12NA
73643936741.536310.5431.059-302.518
83570535968.336249-280.751-263.291
93577734965.636154-1188.4811.357
103577734269.836068.2-1798.481507.23
113584834768.535982.5-1213.941079.48
123599835634.335875.3-240.978363.686
133599835672.635752.7-80.1304325.422
143533534827.135599.3-772.149507.857
153504335032.935415-382.05210.0517
16353353640835200.11207.95-1073.03
17363683720134976.22224.74-832.99
18362183686434770.82093.12-645.958
193482234999.434568.4431.059-177.434
203364034094.434375.1-280.751-454.374
213341932996.534184.9-1188.4422.524
223297732196.133994.6-1798.48780.853
233327632581.233795.2-1213.94694.769
243364033333.433574.3-240.978306.644
253349733260.933341-80.1304236.089
263319832341.833114-772.149856.191
273261432502.132884.2-382.052111.885
283319833834.732626.81207.95-636.74
293371834572.532347.82224.74-854.532
303356834149.732056.62093.12-581.708
31318733218131749.9431.059-307.976
323113931147.131427.8-280.751-8.08256
333040529935.731124.1-1188.4469.274
34298142906530863.5-1798.48749.019
352974329401.130615-1213.94341.936
363018430085.530326.5-240.97898.4776
372959329921.330001.5-80.1304-328.328
382937228885.929658-772.149486.149
392915128898.729280.7-382.052252.302
403040530083.828875.91207.95321.177
413054830710.828486.12224.74-162.823
422981430204.628111.52093.12-390.583
432782628192.627761.5431.059-366.559
442694327149.527430.2-280.751-206.499
452554725910.627099-1188.4-363.601
462495524972.226770.7-1798.48-17.2307
472524725259.426473.3-1213.94-12.3557
482568925980.926221.9-240.978-291.897
492568925923.926004-80.1304-234.87
502532625041.625813.8-772.149284.399
512524725241.425623.5-382.0525.5517
522643026619.825411.91207.95-189.823
532738527428.325203.52224.74-43.2816
542694327118.925025.82093.12-175.916
552546825291.324860.2431.059176.732
562473524389.224670-280.751345.792
57231892326724455.4-1188.4-77.9761
582223422445.324243.7-1798.48-211.272
592296822814.924028.8-1213.94153.103
602370223573.223814.2-240.978128.769
612370223525.723605.8-80.1304176.297
622274722616.123388.2-772.149130.899
632267622757.723139.8-382.052-81.6983
642392224083.822875.81207.95-161.782
652473524824.522599.82224.74-89.49
66244422442022326.92093.1221.9591
672296822509.822078.7431.059458.232
682201321515.921796.7-280.751497.084
69199472032021508.4-1188.4-373.018
701914219467.721266.2-1798.48-325.731
711943419822.221036.2-1213.94-388.231
722068820555.620796.6-240.978132.353
732075920449.420529.5-80.1304309.63
741892119450.420222.6-772.149-529.434
751958419533.919916-382.05250.0934
762120120817.319609.31207.95383.718
772193521517.919293.22224.74417.052
782149321073.2189802093.12419.834
791950619076.618645.5431.059429.441
801810918024.318305-280.75184.7091
811649216779.117967.5-1188.4-287.143
821523815825.317623.8-1798.48-587.314
831575116072.417286.3-1213.94-321.356
841685516711.116952.1-240.978143.894
851656316534.716614.9-80.130428.2554
861494615526.916299-772.149-580.893
871545915634.716016.8-382.052-175.74
881707616948.715740.81207.95127.302
891796017671.315446.62224.74288.677
901744717233.415140.22093.12213.626
911545915283.114852431.059175.899
921457614313.414594.1-280.751262.626
931325113147.814336.2-1188.4103.191
941185412277.114075.6-1798.48-423.147
951207512592.113806.1-1213.94-517.147
961317913267.613508.6-240.978-88.6474
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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')