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Author's title

Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationSun, 16 Aug 2015 11:57:12 +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/2015/Aug/16/t1439722655byifxvqh6d02xih.htm/, Retrieved Sun, 19 May 2024 14:32:28 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=280110, Retrieved Sun, 19 May 2024 14:32:28 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact91
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [] [2015-08-16 10:57:12] [f898ec974b62c60a8bec4044c4c271e3] [Current]
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Dataseries X:
5452304
5431998
5411406
5368792
5790356
5768048
5452304
5242380
5262686
5262686
5285280
5325892
5389098
5389098
5348486
5242380
5790356
5873868
5747742
5452304
5578716
5389098
5474612
5515510
5558124
5452304
5474612
5325892
5790356
5937074
5810948
5578716
5831254
5558124
5810948
5790356
5853562
5621330
5873868
5853562
6232512
6146998
5810948
5641636
5873868
5558124
5790356
5831254
5916768
5727436
5831254
5894460
6126692
5937074
5684536
5411406
5664230
4969250
5305586
5494918
5684536
5411406
5411406
5411406
5558124
5348486
5073354
4843124
5010148
4358068
4757610
4989842
5032456
4800224
4820530
4757610
4969250
4820530
4527380
4315454
4673812
3895606
4400968
4631198
4631198
4358068
4105530
4085224
4315454
4105530
3706274
3431142
3726580
3031886
3663374
3999424
4105530
3873298
3579862
3789786
3873298
3810092
3178318
2885168
3094806
2463318
3115398
3347630
3536962
3221218
2925780
3094806
3178318
3011294
2379806
2104674
2357212
1662518
2420418
2885168




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=280110&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=280110&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=280110&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
15452304NANA189197NA
25431998NANA11964.2NA
35411406NANA-13730.8NA
45368792NANA25698.8NA
55790356NANA319989NA
65768048NANA250839NA
7545230453907905418540-27750.161510
8524238051620905414120-25203480290.6
9526268653921805409710-17538.8-129489
10526268649363305401830-465497326358
11528528053001205396560-96435.1-14842.8
1253258925476260540097075297.3-150372
13538909856068805417690189197-217785
1453890985450710543874011964.2-61609.1
15534848654469305460660-13730.8-98440.8
1652423805504790547909025698.8-262412
17579035658122405492250319989-21881.5
18587386857588805508040250839114991
19574774254952305522980-27750.1252510
20545230452806205532660-252034171680
21557871655230105540550-17538.855707.9
22538909850837805549280-465497305313
23547461254563305552760-96435.118285.6
2455155105630690555540075297.3-115182
25555812457498605560660189197-191735
2654523045580530556856011964.2-128223
27547461255706205584350-13730.8-96009.8
2853258925627620560192025698.8-301725
29579035659429605622970319989-152607
3059370745899280564844025083937794.5
31581094856444505672200-27750.1166496
32557871654395205691550-252034139195
33583125456976905715230-17538.8133559
34555812452883605753860-465497269766
35581094856978305794260-96435.1113118
3657903565896730582143075297.3-106376
37585356260193805830180189197-165816
3856213305844770583280011964.2-223437
39587386858234705837200-13730.850398.3
4058535625864670583898025698.8-11112.8
4162325126158110583812031998974405.1
4261469986089800583896025083957194.8
43581094858155505843300-27750.1-4603.7
44564163655983205850360-25203443313.2
45587386858354605853000-17538.838404.9
46555812453874305852930-465497170690
47579035657537905850230-96435.136565.7
4858312545912370583707075297.3-81112.7
49591676860122505823060189197-95484.2
5057274365820160580820011964.2-92723.5
51583125457761405789870-13730.855117.3
5258944605782290575660025698.8112165
5361266926031850571186031998994842.2
545937074592849056776502508398586.73
55568453656262105653960-27750.158328.2
56541140653790805631110-25203432326.1
57566423055829105600450-17538.881316.8
58496925050973305562830-465497-128084
59530558654225805519010-96435.1-116992
6054949185546100547080075297.3-51178
6156845365610010542081018919774530.9
6254114065383630537166011964.227777.9
63541140653070005320730-13730.8104405
6454114065293710526801025698.8117694
6555581245539700521971031998918420.6
66534848654266805175840250839-78190.4
67507335450998705127620-27750.1-26518.4
68484312448229505074990-25203420171.1
69501014850073605024900-17538.82785.96
70435806845075404973040-465497-149475
71475761048248304921260-96435.1-67216.5
7249898424950020487473075297.339817.7
7350324565019180482998018919713279.2
7448002244797210478524011964.23015.03
75482053047355104749240-13730.885016.3
7647576104741660471596025698.815949.9
77496925050018204681830319989-32570.8
78482053049028704652030250839-82337.4
79452738045926204620370-27750.1-65235.7
80431545443331904585220-252034-17735.9
81467381245194704537010-17538.8154342
82389560640137004479200-465497-118098
83440096843275104423940-96435.173459.7
8446311984442210436691075297.3188990
85463119844921004302910189197139095
8643580684243810423185011964.2114257
87410553041418004155530-13730.8-36271.6
8840852244105770408008025698.8-20550.8
89431545443333404013350319989-17889.5
90410553042071403956300250839-101607
91370627438803203908070-27750.1-174047
92343114236139403865970-252034-182794
93372658038063303823870-17538.8-79748.9
94303188633241603789650-465497-292272
95366337436624903758920-96435.1887.24
9639994243803490372819075297.3195938
97410553038830803693880189197222452
9838732983661100364913011964.2212200
99357986235863303600060-13730.8-6467.99
10037897863575750355005025698.8214041
10138732983823510350352031998949785.3
102381009237043703453530250839105719
103317831833749303402690-27750.1-196617
104288516830997903351820-252034-214623
105309480632798603297400-17538.8-185056
106246331827756903241190-465497-312375
107311539830868403183280-96435.128557.7
10833476303196330312103075297.3151298
109353696232436803054480189197293285
11032212183000650298869011964.2220566
111292578029117002925430-13730.814076.3
11230948062887030286133025698.8207772
11331783183119000279901031998959318.6
1143011294300162027507802508399671.15
1152379806NANA-27750.1NA
1162104674NANA-252034NA
1172357212NANA-17538.8NA
1181662518NANA-465497NA
1192420418NANA-96435.1NA
1202885168NANA75297.3NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 5452304 & NA & NA & 189197 & NA \tabularnewline
2 & 5431998 & NA & NA & 11964.2 & NA \tabularnewline
3 & 5411406 & NA & NA & -13730.8 & NA \tabularnewline
4 & 5368792 & NA & NA & 25698.8 & NA \tabularnewline
5 & 5790356 & NA & NA & 319989 & NA \tabularnewline
6 & 5768048 & NA & NA & 250839 & NA \tabularnewline
7 & 5452304 & 5390790 & 5418540 & -27750.1 & 61510 \tabularnewline
8 & 5242380 & 5162090 & 5414120 & -252034 & 80290.6 \tabularnewline
9 & 5262686 & 5392180 & 5409710 & -17538.8 & -129489 \tabularnewline
10 & 5262686 & 4936330 & 5401830 & -465497 & 326358 \tabularnewline
11 & 5285280 & 5300120 & 5396560 & -96435.1 & -14842.8 \tabularnewline
12 & 5325892 & 5476260 & 5400970 & 75297.3 & -150372 \tabularnewline
13 & 5389098 & 5606880 & 5417690 & 189197 & -217785 \tabularnewline
14 & 5389098 & 5450710 & 5438740 & 11964.2 & -61609.1 \tabularnewline
15 & 5348486 & 5446930 & 5460660 & -13730.8 & -98440.8 \tabularnewline
16 & 5242380 & 5504790 & 5479090 & 25698.8 & -262412 \tabularnewline
17 & 5790356 & 5812240 & 5492250 & 319989 & -21881.5 \tabularnewline
18 & 5873868 & 5758880 & 5508040 & 250839 & 114991 \tabularnewline
19 & 5747742 & 5495230 & 5522980 & -27750.1 & 252510 \tabularnewline
20 & 5452304 & 5280620 & 5532660 & -252034 & 171680 \tabularnewline
21 & 5578716 & 5523010 & 5540550 & -17538.8 & 55707.9 \tabularnewline
22 & 5389098 & 5083780 & 5549280 & -465497 & 305313 \tabularnewline
23 & 5474612 & 5456330 & 5552760 & -96435.1 & 18285.6 \tabularnewline
24 & 5515510 & 5630690 & 5555400 & 75297.3 & -115182 \tabularnewline
25 & 5558124 & 5749860 & 5560660 & 189197 & -191735 \tabularnewline
26 & 5452304 & 5580530 & 5568560 & 11964.2 & -128223 \tabularnewline
27 & 5474612 & 5570620 & 5584350 & -13730.8 & -96009.8 \tabularnewline
28 & 5325892 & 5627620 & 5601920 & 25698.8 & -301725 \tabularnewline
29 & 5790356 & 5942960 & 5622970 & 319989 & -152607 \tabularnewline
30 & 5937074 & 5899280 & 5648440 & 250839 & 37794.5 \tabularnewline
31 & 5810948 & 5644450 & 5672200 & -27750.1 & 166496 \tabularnewline
32 & 5578716 & 5439520 & 5691550 & -252034 & 139195 \tabularnewline
33 & 5831254 & 5697690 & 5715230 & -17538.8 & 133559 \tabularnewline
34 & 5558124 & 5288360 & 5753860 & -465497 & 269766 \tabularnewline
35 & 5810948 & 5697830 & 5794260 & -96435.1 & 113118 \tabularnewline
36 & 5790356 & 5896730 & 5821430 & 75297.3 & -106376 \tabularnewline
37 & 5853562 & 6019380 & 5830180 & 189197 & -165816 \tabularnewline
38 & 5621330 & 5844770 & 5832800 & 11964.2 & -223437 \tabularnewline
39 & 5873868 & 5823470 & 5837200 & -13730.8 & 50398.3 \tabularnewline
40 & 5853562 & 5864670 & 5838980 & 25698.8 & -11112.8 \tabularnewline
41 & 6232512 & 6158110 & 5838120 & 319989 & 74405.1 \tabularnewline
42 & 6146998 & 6089800 & 5838960 & 250839 & 57194.8 \tabularnewline
43 & 5810948 & 5815550 & 5843300 & -27750.1 & -4603.7 \tabularnewline
44 & 5641636 & 5598320 & 5850360 & -252034 & 43313.2 \tabularnewline
45 & 5873868 & 5835460 & 5853000 & -17538.8 & 38404.9 \tabularnewline
46 & 5558124 & 5387430 & 5852930 & -465497 & 170690 \tabularnewline
47 & 5790356 & 5753790 & 5850230 & -96435.1 & 36565.7 \tabularnewline
48 & 5831254 & 5912370 & 5837070 & 75297.3 & -81112.7 \tabularnewline
49 & 5916768 & 6012250 & 5823060 & 189197 & -95484.2 \tabularnewline
50 & 5727436 & 5820160 & 5808200 & 11964.2 & -92723.5 \tabularnewline
51 & 5831254 & 5776140 & 5789870 & -13730.8 & 55117.3 \tabularnewline
52 & 5894460 & 5782290 & 5756600 & 25698.8 & 112165 \tabularnewline
53 & 6126692 & 6031850 & 5711860 & 319989 & 94842.2 \tabularnewline
54 & 5937074 & 5928490 & 5677650 & 250839 & 8586.73 \tabularnewline
55 & 5684536 & 5626210 & 5653960 & -27750.1 & 58328.2 \tabularnewline
56 & 5411406 & 5379080 & 5631110 & -252034 & 32326.1 \tabularnewline
57 & 5664230 & 5582910 & 5600450 & -17538.8 & 81316.8 \tabularnewline
58 & 4969250 & 5097330 & 5562830 & -465497 & -128084 \tabularnewline
59 & 5305586 & 5422580 & 5519010 & -96435.1 & -116992 \tabularnewline
60 & 5494918 & 5546100 & 5470800 & 75297.3 & -51178 \tabularnewline
61 & 5684536 & 5610010 & 5420810 & 189197 & 74530.9 \tabularnewline
62 & 5411406 & 5383630 & 5371660 & 11964.2 & 27777.9 \tabularnewline
63 & 5411406 & 5307000 & 5320730 & -13730.8 & 104405 \tabularnewline
64 & 5411406 & 5293710 & 5268010 & 25698.8 & 117694 \tabularnewline
65 & 5558124 & 5539700 & 5219710 & 319989 & 18420.6 \tabularnewline
66 & 5348486 & 5426680 & 5175840 & 250839 & -78190.4 \tabularnewline
67 & 5073354 & 5099870 & 5127620 & -27750.1 & -26518.4 \tabularnewline
68 & 4843124 & 4822950 & 5074990 & -252034 & 20171.1 \tabularnewline
69 & 5010148 & 5007360 & 5024900 & -17538.8 & 2785.96 \tabularnewline
70 & 4358068 & 4507540 & 4973040 & -465497 & -149475 \tabularnewline
71 & 4757610 & 4824830 & 4921260 & -96435.1 & -67216.5 \tabularnewline
72 & 4989842 & 4950020 & 4874730 & 75297.3 & 39817.7 \tabularnewline
73 & 5032456 & 5019180 & 4829980 & 189197 & 13279.2 \tabularnewline
74 & 4800224 & 4797210 & 4785240 & 11964.2 & 3015.03 \tabularnewline
75 & 4820530 & 4735510 & 4749240 & -13730.8 & 85016.3 \tabularnewline
76 & 4757610 & 4741660 & 4715960 & 25698.8 & 15949.9 \tabularnewline
77 & 4969250 & 5001820 & 4681830 & 319989 & -32570.8 \tabularnewline
78 & 4820530 & 4902870 & 4652030 & 250839 & -82337.4 \tabularnewline
79 & 4527380 & 4592620 & 4620370 & -27750.1 & -65235.7 \tabularnewline
80 & 4315454 & 4333190 & 4585220 & -252034 & -17735.9 \tabularnewline
81 & 4673812 & 4519470 & 4537010 & -17538.8 & 154342 \tabularnewline
82 & 3895606 & 4013700 & 4479200 & -465497 & -118098 \tabularnewline
83 & 4400968 & 4327510 & 4423940 & -96435.1 & 73459.7 \tabularnewline
84 & 4631198 & 4442210 & 4366910 & 75297.3 & 188990 \tabularnewline
85 & 4631198 & 4492100 & 4302910 & 189197 & 139095 \tabularnewline
86 & 4358068 & 4243810 & 4231850 & 11964.2 & 114257 \tabularnewline
87 & 4105530 & 4141800 & 4155530 & -13730.8 & -36271.6 \tabularnewline
88 & 4085224 & 4105770 & 4080080 & 25698.8 & -20550.8 \tabularnewline
89 & 4315454 & 4333340 & 4013350 & 319989 & -17889.5 \tabularnewline
90 & 4105530 & 4207140 & 3956300 & 250839 & -101607 \tabularnewline
91 & 3706274 & 3880320 & 3908070 & -27750.1 & -174047 \tabularnewline
92 & 3431142 & 3613940 & 3865970 & -252034 & -182794 \tabularnewline
93 & 3726580 & 3806330 & 3823870 & -17538.8 & -79748.9 \tabularnewline
94 & 3031886 & 3324160 & 3789650 & -465497 & -292272 \tabularnewline
95 & 3663374 & 3662490 & 3758920 & -96435.1 & 887.24 \tabularnewline
96 & 3999424 & 3803490 & 3728190 & 75297.3 & 195938 \tabularnewline
97 & 4105530 & 3883080 & 3693880 & 189197 & 222452 \tabularnewline
98 & 3873298 & 3661100 & 3649130 & 11964.2 & 212200 \tabularnewline
99 & 3579862 & 3586330 & 3600060 & -13730.8 & -6467.99 \tabularnewline
100 & 3789786 & 3575750 & 3550050 & 25698.8 & 214041 \tabularnewline
101 & 3873298 & 3823510 & 3503520 & 319989 & 49785.3 \tabularnewline
102 & 3810092 & 3704370 & 3453530 & 250839 & 105719 \tabularnewline
103 & 3178318 & 3374930 & 3402690 & -27750.1 & -196617 \tabularnewline
104 & 2885168 & 3099790 & 3351820 & -252034 & -214623 \tabularnewline
105 & 3094806 & 3279860 & 3297400 & -17538.8 & -185056 \tabularnewline
106 & 2463318 & 2775690 & 3241190 & -465497 & -312375 \tabularnewline
107 & 3115398 & 3086840 & 3183280 & -96435.1 & 28557.7 \tabularnewline
108 & 3347630 & 3196330 & 3121030 & 75297.3 & 151298 \tabularnewline
109 & 3536962 & 3243680 & 3054480 & 189197 & 293285 \tabularnewline
110 & 3221218 & 3000650 & 2988690 & 11964.2 & 220566 \tabularnewline
111 & 2925780 & 2911700 & 2925430 & -13730.8 & 14076.3 \tabularnewline
112 & 3094806 & 2887030 & 2861330 & 25698.8 & 207772 \tabularnewline
113 & 3178318 & 3119000 & 2799010 & 319989 & 59318.6 \tabularnewline
114 & 3011294 & 3001620 & 2750780 & 250839 & 9671.15 \tabularnewline
115 & 2379806 & NA & NA & -27750.1 & NA \tabularnewline
116 & 2104674 & NA & NA & -252034 & NA \tabularnewline
117 & 2357212 & NA & NA & -17538.8 & NA \tabularnewline
118 & 1662518 & NA & NA & -465497 & NA \tabularnewline
119 & 2420418 & NA & NA & -96435.1 & NA \tabularnewline
120 & 2885168 & NA & NA & 75297.3 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=280110&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]5452304[/C][C]NA[/C][C]NA[/C][C]189197[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]5431998[/C][C]NA[/C][C]NA[/C][C]11964.2[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]5411406[/C][C]NA[/C][C]NA[/C][C]-13730.8[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]5368792[/C][C]NA[/C][C]NA[/C][C]25698.8[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]5790356[/C][C]NA[/C][C]NA[/C][C]319989[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]5768048[/C][C]NA[/C][C]NA[/C][C]250839[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]5452304[/C][C]5390790[/C][C]5418540[/C][C]-27750.1[/C][C]61510[/C][/ROW]
[ROW][C]8[/C][C]5242380[/C][C]5162090[/C][C]5414120[/C][C]-252034[/C][C]80290.6[/C][/ROW]
[ROW][C]9[/C][C]5262686[/C][C]5392180[/C][C]5409710[/C][C]-17538.8[/C][C]-129489[/C][/ROW]
[ROW][C]10[/C][C]5262686[/C][C]4936330[/C][C]5401830[/C][C]-465497[/C][C]326358[/C][/ROW]
[ROW][C]11[/C][C]5285280[/C][C]5300120[/C][C]5396560[/C][C]-96435.1[/C][C]-14842.8[/C][/ROW]
[ROW][C]12[/C][C]5325892[/C][C]5476260[/C][C]5400970[/C][C]75297.3[/C][C]-150372[/C][/ROW]
[ROW][C]13[/C][C]5389098[/C][C]5606880[/C][C]5417690[/C][C]189197[/C][C]-217785[/C][/ROW]
[ROW][C]14[/C][C]5389098[/C][C]5450710[/C][C]5438740[/C][C]11964.2[/C][C]-61609.1[/C][/ROW]
[ROW][C]15[/C][C]5348486[/C][C]5446930[/C][C]5460660[/C][C]-13730.8[/C][C]-98440.8[/C][/ROW]
[ROW][C]16[/C][C]5242380[/C][C]5504790[/C][C]5479090[/C][C]25698.8[/C][C]-262412[/C][/ROW]
[ROW][C]17[/C][C]5790356[/C][C]5812240[/C][C]5492250[/C][C]319989[/C][C]-21881.5[/C][/ROW]
[ROW][C]18[/C][C]5873868[/C][C]5758880[/C][C]5508040[/C][C]250839[/C][C]114991[/C][/ROW]
[ROW][C]19[/C][C]5747742[/C][C]5495230[/C][C]5522980[/C][C]-27750.1[/C][C]252510[/C][/ROW]
[ROW][C]20[/C][C]5452304[/C][C]5280620[/C][C]5532660[/C][C]-252034[/C][C]171680[/C][/ROW]
[ROW][C]21[/C][C]5578716[/C][C]5523010[/C][C]5540550[/C][C]-17538.8[/C][C]55707.9[/C][/ROW]
[ROW][C]22[/C][C]5389098[/C][C]5083780[/C][C]5549280[/C][C]-465497[/C][C]305313[/C][/ROW]
[ROW][C]23[/C][C]5474612[/C][C]5456330[/C][C]5552760[/C][C]-96435.1[/C][C]18285.6[/C][/ROW]
[ROW][C]24[/C][C]5515510[/C][C]5630690[/C][C]5555400[/C][C]75297.3[/C][C]-115182[/C][/ROW]
[ROW][C]25[/C][C]5558124[/C][C]5749860[/C][C]5560660[/C][C]189197[/C][C]-191735[/C][/ROW]
[ROW][C]26[/C][C]5452304[/C][C]5580530[/C][C]5568560[/C][C]11964.2[/C][C]-128223[/C][/ROW]
[ROW][C]27[/C][C]5474612[/C][C]5570620[/C][C]5584350[/C][C]-13730.8[/C][C]-96009.8[/C][/ROW]
[ROW][C]28[/C][C]5325892[/C][C]5627620[/C][C]5601920[/C][C]25698.8[/C][C]-301725[/C][/ROW]
[ROW][C]29[/C][C]5790356[/C][C]5942960[/C][C]5622970[/C][C]319989[/C][C]-152607[/C][/ROW]
[ROW][C]30[/C][C]5937074[/C][C]5899280[/C][C]5648440[/C][C]250839[/C][C]37794.5[/C][/ROW]
[ROW][C]31[/C][C]5810948[/C][C]5644450[/C][C]5672200[/C][C]-27750.1[/C][C]166496[/C][/ROW]
[ROW][C]32[/C][C]5578716[/C][C]5439520[/C][C]5691550[/C][C]-252034[/C][C]139195[/C][/ROW]
[ROW][C]33[/C][C]5831254[/C][C]5697690[/C][C]5715230[/C][C]-17538.8[/C][C]133559[/C][/ROW]
[ROW][C]34[/C][C]5558124[/C][C]5288360[/C][C]5753860[/C][C]-465497[/C][C]269766[/C][/ROW]
[ROW][C]35[/C][C]5810948[/C][C]5697830[/C][C]5794260[/C][C]-96435.1[/C][C]113118[/C][/ROW]
[ROW][C]36[/C][C]5790356[/C][C]5896730[/C][C]5821430[/C][C]75297.3[/C][C]-106376[/C][/ROW]
[ROW][C]37[/C][C]5853562[/C][C]6019380[/C][C]5830180[/C][C]189197[/C][C]-165816[/C][/ROW]
[ROW][C]38[/C][C]5621330[/C][C]5844770[/C][C]5832800[/C][C]11964.2[/C][C]-223437[/C][/ROW]
[ROW][C]39[/C][C]5873868[/C][C]5823470[/C][C]5837200[/C][C]-13730.8[/C][C]50398.3[/C][/ROW]
[ROW][C]40[/C][C]5853562[/C][C]5864670[/C][C]5838980[/C][C]25698.8[/C][C]-11112.8[/C][/ROW]
[ROW][C]41[/C][C]6232512[/C][C]6158110[/C][C]5838120[/C][C]319989[/C][C]74405.1[/C][/ROW]
[ROW][C]42[/C][C]6146998[/C][C]6089800[/C][C]5838960[/C][C]250839[/C][C]57194.8[/C][/ROW]
[ROW][C]43[/C][C]5810948[/C][C]5815550[/C][C]5843300[/C][C]-27750.1[/C][C]-4603.7[/C][/ROW]
[ROW][C]44[/C][C]5641636[/C][C]5598320[/C][C]5850360[/C][C]-252034[/C][C]43313.2[/C][/ROW]
[ROW][C]45[/C][C]5873868[/C][C]5835460[/C][C]5853000[/C][C]-17538.8[/C][C]38404.9[/C][/ROW]
[ROW][C]46[/C][C]5558124[/C][C]5387430[/C][C]5852930[/C][C]-465497[/C][C]170690[/C][/ROW]
[ROW][C]47[/C][C]5790356[/C][C]5753790[/C][C]5850230[/C][C]-96435.1[/C][C]36565.7[/C][/ROW]
[ROW][C]48[/C][C]5831254[/C][C]5912370[/C][C]5837070[/C][C]75297.3[/C][C]-81112.7[/C][/ROW]
[ROW][C]49[/C][C]5916768[/C][C]6012250[/C][C]5823060[/C][C]189197[/C][C]-95484.2[/C][/ROW]
[ROW][C]50[/C][C]5727436[/C][C]5820160[/C][C]5808200[/C][C]11964.2[/C][C]-92723.5[/C][/ROW]
[ROW][C]51[/C][C]5831254[/C][C]5776140[/C][C]5789870[/C][C]-13730.8[/C][C]55117.3[/C][/ROW]
[ROW][C]52[/C][C]5894460[/C][C]5782290[/C][C]5756600[/C][C]25698.8[/C][C]112165[/C][/ROW]
[ROW][C]53[/C][C]6126692[/C][C]6031850[/C][C]5711860[/C][C]319989[/C][C]94842.2[/C][/ROW]
[ROW][C]54[/C][C]5937074[/C][C]5928490[/C][C]5677650[/C][C]250839[/C][C]8586.73[/C][/ROW]
[ROW][C]55[/C][C]5684536[/C][C]5626210[/C][C]5653960[/C][C]-27750.1[/C][C]58328.2[/C][/ROW]
[ROW][C]56[/C][C]5411406[/C][C]5379080[/C][C]5631110[/C][C]-252034[/C][C]32326.1[/C][/ROW]
[ROW][C]57[/C][C]5664230[/C][C]5582910[/C][C]5600450[/C][C]-17538.8[/C][C]81316.8[/C][/ROW]
[ROW][C]58[/C][C]4969250[/C][C]5097330[/C][C]5562830[/C][C]-465497[/C][C]-128084[/C][/ROW]
[ROW][C]59[/C][C]5305586[/C][C]5422580[/C][C]5519010[/C][C]-96435.1[/C][C]-116992[/C][/ROW]
[ROW][C]60[/C][C]5494918[/C][C]5546100[/C][C]5470800[/C][C]75297.3[/C][C]-51178[/C][/ROW]
[ROW][C]61[/C][C]5684536[/C][C]5610010[/C][C]5420810[/C][C]189197[/C][C]74530.9[/C][/ROW]
[ROW][C]62[/C][C]5411406[/C][C]5383630[/C][C]5371660[/C][C]11964.2[/C][C]27777.9[/C][/ROW]
[ROW][C]63[/C][C]5411406[/C][C]5307000[/C][C]5320730[/C][C]-13730.8[/C][C]104405[/C][/ROW]
[ROW][C]64[/C][C]5411406[/C][C]5293710[/C][C]5268010[/C][C]25698.8[/C][C]117694[/C][/ROW]
[ROW][C]65[/C][C]5558124[/C][C]5539700[/C][C]5219710[/C][C]319989[/C][C]18420.6[/C][/ROW]
[ROW][C]66[/C][C]5348486[/C][C]5426680[/C][C]5175840[/C][C]250839[/C][C]-78190.4[/C][/ROW]
[ROW][C]67[/C][C]5073354[/C][C]5099870[/C][C]5127620[/C][C]-27750.1[/C][C]-26518.4[/C][/ROW]
[ROW][C]68[/C][C]4843124[/C][C]4822950[/C][C]5074990[/C][C]-252034[/C][C]20171.1[/C][/ROW]
[ROW][C]69[/C][C]5010148[/C][C]5007360[/C][C]5024900[/C][C]-17538.8[/C][C]2785.96[/C][/ROW]
[ROW][C]70[/C][C]4358068[/C][C]4507540[/C][C]4973040[/C][C]-465497[/C][C]-149475[/C][/ROW]
[ROW][C]71[/C][C]4757610[/C][C]4824830[/C][C]4921260[/C][C]-96435.1[/C][C]-67216.5[/C][/ROW]
[ROW][C]72[/C][C]4989842[/C][C]4950020[/C][C]4874730[/C][C]75297.3[/C][C]39817.7[/C][/ROW]
[ROW][C]73[/C][C]5032456[/C][C]5019180[/C][C]4829980[/C][C]189197[/C][C]13279.2[/C][/ROW]
[ROW][C]74[/C][C]4800224[/C][C]4797210[/C][C]4785240[/C][C]11964.2[/C][C]3015.03[/C][/ROW]
[ROW][C]75[/C][C]4820530[/C][C]4735510[/C][C]4749240[/C][C]-13730.8[/C][C]85016.3[/C][/ROW]
[ROW][C]76[/C][C]4757610[/C][C]4741660[/C][C]4715960[/C][C]25698.8[/C][C]15949.9[/C][/ROW]
[ROW][C]77[/C][C]4969250[/C][C]5001820[/C][C]4681830[/C][C]319989[/C][C]-32570.8[/C][/ROW]
[ROW][C]78[/C][C]4820530[/C][C]4902870[/C][C]4652030[/C][C]250839[/C][C]-82337.4[/C][/ROW]
[ROW][C]79[/C][C]4527380[/C][C]4592620[/C][C]4620370[/C][C]-27750.1[/C][C]-65235.7[/C][/ROW]
[ROW][C]80[/C][C]4315454[/C][C]4333190[/C][C]4585220[/C][C]-252034[/C][C]-17735.9[/C][/ROW]
[ROW][C]81[/C][C]4673812[/C][C]4519470[/C][C]4537010[/C][C]-17538.8[/C][C]154342[/C][/ROW]
[ROW][C]82[/C][C]3895606[/C][C]4013700[/C][C]4479200[/C][C]-465497[/C][C]-118098[/C][/ROW]
[ROW][C]83[/C][C]4400968[/C][C]4327510[/C][C]4423940[/C][C]-96435.1[/C][C]73459.7[/C][/ROW]
[ROW][C]84[/C][C]4631198[/C][C]4442210[/C][C]4366910[/C][C]75297.3[/C][C]188990[/C][/ROW]
[ROW][C]85[/C][C]4631198[/C][C]4492100[/C][C]4302910[/C][C]189197[/C][C]139095[/C][/ROW]
[ROW][C]86[/C][C]4358068[/C][C]4243810[/C][C]4231850[/C][C]11964.2[/C][C]114257[/C][/ROW]
[ROW][C]87[/C][C]4105530[/C][C]4141800[/C][C]4155530[/C][C]-13730.8[/C][C]-36271.6[/C][/ROW]
[ROW][C]88[/C][C]4085224[/C][C]4105770[/C][C]4080080[/C][C]25698.8[/C][C]-20550.8[/C][/ROW]
[ROW][C]89[/C][C]4315454[/C][C]4333340[/C][C]4013350[/C][C]319989[/C][C]-17889.5[/C][/ROW]
[ROW][C]90[/C][C]4105530[/C][C]4207140[/C][C]3956300[/C][C]250839[/C][C]-101607[/C][/ROW]
[ROW][C]91[/C][C]3706274[/C][C]3880320[/C][C]3908070[/C][C]-27750.1[/C][C]-174047[/C][/ROW]
[ROW][C]92[/C][C]3431142[/C][C]3613940[/C][C]3865970[/C][C]-252034[/C][C]-182794[/C][/ROW]
[ROW][C]93[/C][C]3726580[/C][C]3806330[/C][C]3823870[/C][C]-17538.8[/C][C]-79748.9[/C][/ROW]
[ROW][C]94[/C][C]3031886[/C][C]3324160[/C][C]3789650[/C][C]-465497[/C][C]-292272[/C][/ROW]
[ROW][C]95[/C][C]3663374[/C][C]3662490[/C][C]3758920[/C][C]-96435.1[/C][C]887.24[/C][/ROW]
[ROW][C]96[/C][C]3999424[/C][C]3803490[/C][C]3728190[/C][C]75297.3[/C][C]195938[/C][/ROW]
[ROW][C]97[/C][C]4105530[/C][C]3883080[/C][C]3693880[/C][C]189197[/C][C]222452[/C][/ROW]
[ROW][C]98[/C][C]3873298[/C][C]3661100[/C][C]3649130[/C][C]11964.2[/C][C]212200[/C][/ROW]
[ROW][C]99[/C][C]3579862[/C][C]3586330[/C][C]3600060[/C][C]-13730.8[/C][C]-6467.99[/C][/ROW]
[ROW][C]100[/C][C]3789786[/C][C]3575750[/C][C]3550050[/C][C]25698.8[/C][C]214041[/C][/ROW]
[ROW][C]101[/C][C]3873298[/C][C]3823510[/C][C]3503520[/C][C]319989[/C][C]49785.3[/C][/ROW]
[ROW][C]102[/C][C]3810092[/C][C]3704370[/C][C]3453530[/C][C]250839[/C][C]105719[/C][/ROW]
[ROW][C]103[/C][C]3178318[/C][C]3374930[/C][C]3402690[/C][C]-27750.1[/C][C]-196617[/C][/ROW]
[ROW][C]104[/C][C]2885168[/C][C]3099790[/C][C]3351820[/C][C]-252034[/C][C]-214623[/C][/ROW]
[ROW][C]105[/C][C]3094806[/C][C]3279860[/C][C]3297400[/C][C]-17538.8[/C][C]-185056[/C][/ROW]
[ROW][C]106[/C][C]2463318[/C][C]2775690[/C][C]3241190[/C][C]-465497[/C][C]-312375[/C][/ROW]
[ROW][C]107[/C][C]3115398[/C][C]3086840[/C][C]3183280[/C][C]-96435.1[/C][C]28557.7[/C][/ROW]
[ROW][C]108[/C][C]3347630[/C][C]3196330[/C][C]3121030[/C][C]75297.3[/C][C]151298[/C][/ROW]
[ROW][C]109[/C][C]3536962[/C][C]3243680[/C][C]3054480[/C][C]189197[/C][C]293285[/C][/ROW]
[ROW][C]110[/C][C]3221218[/C][C]3000650[/C][C]2988690[/C][C]11964.2[/C][C]220566[/C][/ROW]
[ROW][C]111[/C][C]2925780[/C][C]2911700[/C][C]2925430[/C][C]-13730.8[/C][C]14076.3[/C][/ROW]
[ROW][C]112[/C][C]3094806[/C][C]2887030[/C][C]2861330[/C][C]25698.8[/C][C]207772[/C][/ROW]
[ROW][C]113[/C][C]3178318[/C][C]3119000[/C][C]2799010[/C][C]319989[/C][C]59318.6[/C][/ROW]
[ROW][C]114[/C][C]3011294[/C][C]3001620[/C][C]2750780[/C][C]250839[/C][C]9671.15[/C][/ROW]
[ROW][C]115[/C][C]2379806[/C][C]NA[/C][C]NA[/C][C]-27750.1[/C][C]NA[/C][/ROW]
[ROW][C]116[/C][C]2104674[/C][C]NA[/C][C]NA[/C][C]-252034[/C][C]NA[/C][/ROW]
[ROW][C]117[/C][C]2357212[/C][C]NA[/C][C]NA[/C][C]-17538.8[/C][C]NA[/C][/ROW]
[ROW][C]118[/C][C]1662518[/C][C]NA[/C][C]NA[/C][C]-465497[/C][C]NA[/C][/ROW]
[ROW][C]119[/C][C]2420418[/C][C]NA[/C][C]NA[/C][C]-96435.1[/C][C]NA[/C][/ROW]
[ROW][C]120[/C][C]2885168[/C][C]NA[/C][C]NA[/C][C]75297.3[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=280110&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=280110&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
15452304NANA189197NA
25431998NANA11964.2NA
35411406NANA-13730.8NA
45368792NANA25698.8NA
55790356NANA319989NA
65768048NANA250839NA
7545230453907905418540-27750.161510
8524238051620905414120-25203480290.6
9526268653921805409710-17538.8-129489
10526268649363305401830-465497326358
11528528053001205396560-96435.1-14842.8
1253258925476260540097075297.3-150372
13538909856068805417690189197-217785
1453890985450710543874011964.2-61609.1
15534848654469305460660-13730.8-98440.8
1652423805504790547909025698.8-262412
17579035658122405492250319989-21881.5
18587386857588805508040250839114991
19574774254952305522980-27750.1252510
20545230452806205532660-252034171680
21557871655230105540550-17538.855707.9
22538909850837805549280-465497305313
23547461254563305552760-96435.118285.6
2455155105630690555540075297.3-115182
25555812457498605560660189197-191735
2654523045580530556856011964.2-128223
27547461255706205584350-13730.8-96009.8
2853258925627620560192025698.8-301725
29579035659429605622970319989-152607
3059370745899280564844025083937794.5
31581094856444505672200-27750.1166496
32557871654395205691550-252034139195
33583125456976905715230-17538.8133559
34555812452883605753860-465497269766
35581094856978305794260-96435.1113118
3657903565896730582143075297.3-106376
37585356260193805830180189197-165816
3856213305844770583280011964.2-223437
39587386858234705837200-13730.850398.3
4058535625864670583898025698.8-11112.8
4162325126158110583812031998974405.1
4261469986089800583896025083957194.8
43581094858155505843300-27750.1-4603.7
44564163655983205850360-25203443313.2
45587386858354605853000-17538.838404.9
46555812453874305852930-465497170690
47579035657537905850230-96435.136565.7
4858312545912370583707075297.3-81112.7
49591676860122505823060189197-95484.2
5057274365820160580820011964.2-92723.5
51583125457761405789870-13730.855117.3
5258944605782290575660025698.8112165
5361266926031850571186031998994842.2
545937074592849056776502508398586.73
55568453656262105653960-27750.158328.2
56541140653790805631110-25203432326.1
57566423055829105600450-17538.881316.8
58496925050973305562830-465497-128084
59530558654225805519010-96435.1-116992
6054949185546100547080075297.3-51178
6156845365610010542081018919774530.9
6254114065383630537166011964.227777.9
63541140653070005320730-13730.8104405
6454114065293710526801025698.8117694
6555581245539700521971031998918420.6
66534848654266805175840250839-78190.4
67507335450998705127620-27750.1-26518.4
68484312448229505074990-25203420171.1
69501014850073605024900-17538.82785.96
70435806845075404973040-465497-149475
71475761048248304921260-96435.1-67216.5
7249898424950020487473075297.339817.7
7350324565019180482998018919713279.2
7448002244797210478524011964.23015.03
75482053047355104749240-13730.885016.3
7647576104741660471596025698.815949.9
77496925050018204681830319989-32570.8
78482053049028704652030250839-82337.4
79452738045926204620370-27750.1-65235.7
80431545443331904585220-252034-17735.9
81467381245194704537010-17538.8154342
82389560640137004479200-465497-118098
83440096843275104423940-96435.173459.7
8446311984442210436691075297.3188990
85463119844921004302910189197139095
8643580684243810423185011964.2114257
87410553041418004155530-13730.8-36271.6
8840852244105770408008025698.8-20550.8
89431545443333404013350319989-17889.5
90410553042071403956300250839-101607
91370627438803203908070-27750.1-174047
92343114236139403865970-252034-182794
93372658038063303823870-17538.8-79748.9
94303188633241603789650-465497-292272
95366337436624903758920-96435.1887.24
9639994243803490372819075297.3195938
97410553038830803693880189197222452
9838732983661100364913011964.2212200
99357986235863303600060-13730.8-6467.99
10037897863575750355005025698.8214041
10138732983823510350352031998949785.3
102381009237043703453530250839105719
103317831833749303402690-27750.1-196617
104288516830997903351820-252034-214623
105309480632798603297400-17538.8-185056
106246331827756903241190-465497-312375
107311539830868403183280-96435.128557.7
10833476303196330312103075297.3151298
109353696232436803054480189197293285
11032212183000650298869011964.2220566
111292578029117002925430-13730.814076.3
11230948062887030286133025698.8207772
11331783183119000279901031998959318.6
1143011294300162027507802508399671.15
1152379806NANA-27750.1NA
1162104674NANA-252034NA
1172357212NANA-17538.8NA
1181662518NANA-465497NA
1192420418NANA-96435.1NA
1202885168NANA75297.3NA



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')