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Author's title

Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationThu, 15 Jan 2009 10:41:26 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/Jan/15/t12320413277qx1bbmbna2bvvo.htm/, Retrieved Tue, 07 May 2024 22:22:39 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=36888, Retrieved Tue, 07 May 2024 22:22:39 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact181
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [evolutie graan -o...] [2009-01-15 17:41:26] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
93,4
98,5
100,8
102,3
104,7
101,1
101,4
99,5
98,4
96,3
100,7
101,2
100,3
97,8
97,4
98,6
99,7
99
98,1
97
98,5
103,8
114,4
124,5
134,2
131,8
125,6
119,9
114,9
115,5
112,5
111,4
115,3
110,8
103,7
111,1
113
111,2
117,6
121,7
127,3
129,8
137,1
141,4
137,4
130,7
117,2
110,8
111,4
108,2
108,8
110,2
109,5
109,5
116
111,2
112,1
114
119,1
114,1
115,1
115,4
110,8
116
119,2
126,5
127,8
131,3
140,3
137,3
143
134,5
139,9
159,3
170,4
175
175,8
180,9
180,3
169,6
172,3
184,8
177,7
184,6
211,4
215,3
215,9
244,7
259,3
289
310,9
321
315,1
333,2
314,1
284,7




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\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 & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=36888&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=36888&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=36888&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'Gwilym Jenkins' @ 72.249.127.135







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
193.4NANA1.00357061143707NA
298.5NANA0.997727608310619NA
3100.8NANA0.98930348254145NA
4102.3NANA1.00414513577228NA
5104.7NANA1.00408462887898NA
6101.1NANA1.02283841042777NA
7101.4102.165749305293100.1458333333331.020169745507400.992504833464251
899.5100.307867293962100.4041666666670.9990408827053540.991946122315664
998.4100.599379624776100.2333333333331.003651941717090.978137244653205
1096.399.24320526355799.93750.9930527105796820.97034350859849
11100.798.012354594447299.5750.9843068500572151.02742149616417
12101.297.10574636223099.27916666666670.9781079920651011.04216283578623
13100.399.407850607055899.05416666666671.003570611437071.00897463718908
1497.898.58795929619398.81250.9977276083106190.992007550396436
1597.497.656620020372898.71250.989303482541450.99737222094806
1698.699.439656007915799.02916666666671.004145135772280.991556125175566
1799.7100.32060548287199.91251.004084628878980.993813778536483
1899103.771218564608101.4541666666671.022838410427770.954021754484486
1998.1105.931875949124103.83751.020169745507400.926066862509962
2097106.564360821904106.6666666666670.9990408827053540.910248034632433
2198.5109.657338398773109.2583333333331.003651941717090.898252697341618
22103.8110.547455285656111.3208333333330.9930527105796820.93896326904839
23114.4111.070825471873112.8416666666670.9843068500572151.02997343824522
24124.5111.663253644132114.16250.9781079920651011.11495945117969
25134.2115.862227090409115.451.003570611437071.15827222875046
26131.8116.384925509434116.650.9977276083106191.13244906437060
27125.6116.688345765764117.950.989303482541451.07637141632057
28119.9119.434696023981118.9416666666671.004145135772281.00389588613283
29114.9119.272702852962118.78751.004084628878980.963338611867021
30115.5120.473317441551117.7833333333331.022838410427770.958718515044097
31112.5118.688248475240116.3416666666671.020169745507400.947861321110231
32111.4114.490085158034114.60.9990408827053540.973010019568347
33115.3113.822493956898113.4083333333331.003651941717091.01298079133340
34110.8112.363914202091113.150.9930527105796820.986081704137876
35103.7111.956701636924113.7416666666670.9843068500572150.926250938834364
36111.1112.339778338644114.8541666666670.9781079920651010.988964030755815
37113116.890886967132116.4751.003570611437070.966713513190926
38111.2118.480153486886118.750.9977276083106190.93855381451973
39117.6119.627401528481120.9208333333330.989303482541450.983052365072076
40121.7123.179320592799122.6708333333331.004145135772280.98799051183527
41127.3124.569249270299124.06251.004084628878981.02192154761868
42129.8127.458451419431124.61251.022838410427771.01837107351057
43137.1127.045138973854124.5333333333331.020169745507401.07914400430712
44141.4124.222408423722124.3416666666670.9990408827053541.13828094137159
45137.4124.302292981661123.851.003651941717091.10536979410566
46130.7122.149621120928123.0041666666670.9930527105796821.06999922554493
47117.2119.872169222801121.7833333333330.9843068500572150.977708176634107
48110.8117.564505196258120.1958333333330.9781079920651010.942461330611941
49111.4118.893846645792118.4708333333331.003570611437070.93697027342283
50108.2116.068978433469116.3333333333330.9977276083106190.932204293174
51108.8112.801207498945114.0208333333330.989303482541450.964528682026899
52110.2112.736211180767112.2708333333331.004145135772280.977503136266481
53109.5112.110232500292111.6541666666671.004084628878980.976717267977435
54109.5114.425785339897111.8708333333331.022838410427770.956952138669924
55116114.424789080473112.16251.020169745507401.01376634322148
56111.2112.508654074001112.6166666666670.9990408827053540.988368414103145
57112.1113.4126694140311131.003651941717090.98842572509039
58114112.537698426442113.3250.9930527105796821.01299388199691
59119.1112.182271956729113.9708333333330.9843068500572151.06166507347916
60114.1112.563928086825115.0833333333330.9781079920651011.01364621810275
61115.1116.698535933274116.2833333333331.003570611437070.98630200524377
62115.4117.345238332433117.61250.9977276083106190.983422946170837
63110.8118.345429099021119.6250.989303482541450.936242327595876
64116122.275589970604121.7708333333331.004145135772280.948676673961563
65119.2124.242921765913123.73751.004084628878980.959410792226746
66126.5128.451457042888125.5833333333331.022838410427770.984807824778226
67127.8130.037636894009127.4666666666671.020169745507400.982792390361313
68131.3130.20416570892130.3291666666670.9990408827053541.00841627673826
69140.3135.133370186025134.6416666666671.003651941717091.03823355997755
70137.3138.613607518414139.5833333333330.9930527105796820.99052324268929
71143142.133909148262144.40.9843068500572151.00609348505876
72134.5145.762543517502149.0250.9781079920651010.922733623839725
73139.9154.027181134518153.4791666666671.003570611437070.908281246008259
74159.3156.905138001949157.26250.9977276083106191.01526312030662
75170.4158.478173707452160.1916666666670.989303482541451.07522692881706
76175164.181913636833163.5041666666671.004145135772281.06589085316118
77175.8167.611010361578166.9291666666671.004084628878981.04885711040556
78180.9174.355592537544170.46251.022838410427771.03753482963873
79180.3179.069545287459175.5291666666671.020169745507401.00687137899728
80169.6180.668218296574180.8416666666670.9990408827053540.93873732524220
81172.3185.746701230199185.0708333333331.003651941717090.92760732146982
82184.8188.551745701690189.8708333333330.9930527105796820.980102301955744
83177.7193.174320602270196.2541666666670.9843068500572150.919894525555854
84184.6199.766331029396204.23750.9781079920651010.924079643695491
85211.4214.948098792963214.1833333333331.003570611437070.98349323016632
86215.3225.419924304313225.9333333333330.9977276083106190.95510634503341
87215.9235.643845345685238.1916666666670.989303482541450.9162131931911
88244.7251.362631112196250.3251.004145135772280.973493947438743
89259.3263.262622320161262.1916666666671.004084628878980.984948025339722
90289278.258927730165272.0458333333331.022838410427771.03860099784561
91310.9NANA1.02016974550740NA
92321NANA0.999040882705354NA
93315.1NANA1.00365194171709NA
94333.2NANA0.993052710579682NA
95314.1NANA0.984306850057215NA
96284.7NANA0.978107992065101NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 93.4 & NA & NA & 1.00357061143707 & NA \tabularnewline
2 & 98.5 & NA & NA & 0.997727608310619 & NA \tabularnewline
3 & 100.8 & NA & NA & 0.98930348254145 & NA \tabularnewline
4 & 102.3 & NA & NA & 1.00414513577228 & NA \tabularnewline
5 & 104.7 & NA & NA & 1.00408462887898 & NA \tabularnewline
6 & 101.1 & NA & NA & 1.02283841042777 & NA \tabularnewline
7 & 101.4 & 102.165749305293 & 100.145833333333 & 1.02016974550740 & 0.992504833464251 \tabularnewline
8 & 99.5 & 100.307867293962 & 100.404166666667 & 0.999040882705354 & 0.991946122315664 \tabularnewline
9 & 98.4 & 100.599379624776 & 100.233333333333 & 1.00365194171709 & 0.978137244653205 \tabularnewline
10 & 96.3 & 99.243205263557 & 99.9375 & 0.993052710579682 & 0.97034350859849 \tabularnewline
11 & 100.7 & 98.0123545944472 & 99.575 & 0.984306850057215 & 1.02742149616417 \tabularnewline
12 & 101.2 & 97.105746362230 & 99.2791666666667 & 0.978107992065101 & 1.04216283578623 \tabularnewline
13 & 100.3 & 99.4078506070558 & 99.0541666666667 & 1.00357061143707 & 1.00897463718908 \tabularnewline
14 & 97.8 & 98.587959296193 & 98.8125 & 0.997727608310619 & 0.992007550396436 \tabularnewline
15 & 97.4 & 97.6566200203728 & 98.7125 & 0.98930348254145 & 0.99737222094806 \tabularnewline
16 & 98.6 & 99.4396560079157 & 99.0291666666667 & 1.00414513577228 & 0.991556125175566 \tabularnewline
17 & 99.7 & 100.320605482871 & 99.9125 & 1.00408462887898 & 0.993813778536483 \tabularnewline
18 & 99 & 103.771218564608 & 101.454166666667 & 1.02283841042777 & 0.954021754484486 \tabularnewline
19 & 98.1 & 105.931875949124 & 103.8375 & 1.02016974550740 & 0.926066862509962 \tabularnewline
20 & 97 & 106.564360821904 & 106.666666666667 & 0.999040882705354 & 0.910248034632433 \tabularnewline
21 & 98.5 & 109.657338398773 & 109.258333333333 & 1.00365194171709 & 0.898252697341618 \tabularnewline
22 & 103.8 & 110.547455285656 & 111.320833333333 & 0.993052710579682 & 0.93896326904839 \tabularnewline
23 & 114.4 & 111.070825471873 & 112.841666666667 & 0.984306850057215 & 1.02997343824522 \tabularnewline
24 & 124.5 & 111.663253644132 & 114.1625 & 0.978107992065101 & 1.11495945117969 \tabularnewline
25 & 134.2 & 115.862227090409 & 115.45 & 1.00357061143707 & 1.15827222875046 \tabularnewline
26 & 131.8 & 116.384925509434 & 116.65 & 0.997727608310619 & 1.13244906437060 \tabularnewline
27 & 125.6 & 116.688345765764 & 117.95 & 0.98930348254145 & 1.07637141632057 \tabularnewline
28 & 119.9 & 119.434696023981 & 118.941666666667 & 1.00414513577228 & 1.00389588613283 \tabularnewline
29 & 114.9 & 119.272702852962 & 118.7875 & 1.00408462887898 & 0.963338611867021 \tabularnewline
30 & 115.5 & 120.473317441551 & 117.783333333333 & 1.02283841042777 & 0.958718515044097 \tabularnewline
31 & 112.5 & 118.688248475240 & 116.341666666667 & 1.02016974550740 & 0.947861321110231 \tabularnewline
32 & 111.4 & 114.490085158034 & 114.6 & 0.999040882705354 & 0.973010019568347 \tabularnewline
33 & 115.3 & 113.822493956898 & 113.408333333333 & 1.00365194171709 & 1.01298079133340 \tabularnewline
34 & 110.8 & 112.363914202091 & 113.15 & 0.993052710579682 & 0.986081704137876 \tabularnewline
35 & 103.7 & 111.956701636924 & 113.741666666667 & 0.984306850057215 & 0.926250938834364 \tabularnewline
36 & 111.1 & 112.339778338644 & 114.854166666667 & 0.978107992065101 & 0.988964030755815 \tabularnewline
37 & 113 & 116.890886967132 & 116.475 & 1.00357061143707 & 0.966713513190926 \tabularnewline
38 & 111.2 & 118.480153486886 & 118.75 & 0.997727608310619 & 0.93855381451973 \tabularnewline
39 & 117.6 & 119.627401528481 & 120.920833333333 & 0.98930348254145 & 0.983052365072076 \tabularnewline
40 & 121.7 & 123.179320592799 & 122.670833333333 & 1.00414513577228 & 0.98799051183527 \tabularnewline
41 & 127.3 & 124.569249270299 & 124.0625 & 1.00408462887898 & 1.02192154761868 \tabularnewline
42 & 129.8 & 127.458451419431 & 124.6125 & 1.02283841042777 & 1.01837107351057 \tabularnewline
43 & 137.1 & 127.045138973854 & 124.533333333333 & 1.02016974550740 & 1.07914400430712 \tabularnewline
44 & 141.4 & 124.222408423722 & 124.341666666667 & 0.999040882705354 & 1.13828094137159 \tabularnewline
45 & 137.4 & 124.302292981661 & 123.85 & 1.00365194171709 & 1.10536979410566 \tabularnewline
46 & 130.7 & 122.149621120928 & 123.004166666667 & 0.993052710579682 & 1.06999922554493 \tabularnewline
47 & 117.2 & 119.872169222801 & 121.783333333333 & 0.984306850057215 & 0.977708176634107 \tabularnewline
48 & 110.8 & 117.564505196258 & 120.195833333333 & 0.978107992065101 & 0.942461330611941 \tabularnewline
49 & 111.4 & 118.893846645792 & 118.470833333333 & 1.00357061143707 & 0.93697027342283 \tabularnewline
50 & 108.2 & 116.068978433469 & 116.333333333333 & 0.997727608310619 & 0.932204293174 \tabularnewline
51 & 108.8 & 112.801207498945 & 114.020833333333 & 0.98930348254145 & 0.964528682026899 \tabularnewline
52 & 110.2 & 112.736211180767 & 112.270833333333 & 1.00414513577228 & 0.977503136266481 \tabularnewline
53 & 109.5 & 112.110232500292 & 111.654166666667 & 1.00408462887898 & 0.976717267977435 \tabularnewline
54 & 109.5 & 114.425785339897 & 111.870833333333 & 1.02283841042777 & 0.956952138669924 \tabularnewline
55 & 116 & 114.424789080473 & 112.1625 & 1.02016974550740 & 1.01376634322148 \tabularnewline
56 & 111.2 & 112.508654074001 & 112.616666666667 & 0.999040882705354 & 0.988368414103145 \tabularnewline
57 & 112.1 & 113.412669414031 & 113 & 1.00365194171709 & 0.98842572509039 \tabularnewline
58 & 114 & 112.537698426442 & 113.325 & 0.993052710579682 & 1.01299388199691 \tabularnewline
59 & 119.1 & 112.182271956729 & 113.970833333333 & 0.984306850057215 & 1.06166507347916 \tabularnewline
60 & 114.1 & 112.563928086825 & 115.083333333333 & 0.978107992065101 & 1.01364621810275 \tabularnewline
61 & 115.1 & 116.698535933274 & 116.283333333333 & 1.00357061143707 & 0.98630200524377 \tabularnewline
62 & 115.4 & 117.345238332433 & 117.6125 & 0.997727608310619 & 0.983422946170837 \tabularnewline
63 & 110.8 & 118.345429099021 & 119.625 & 0.98930348254145 & 0.936242327595876 \tabularnewline
64 & 116 & 122.275589970604 & 121.770833333333 & 1.00414513577228 & 0.948676673961563 \tabularnewline
65 & 119.2 & 124.242921765913 & 123.7375 & 1.00408462887898 & 0.959410792226746 \tabularnewline
66 & 126.5 & 128.451457042888 & 125.583333333333 & 1.02283841042777 & 0.984807824778226 \tabularnewline
67 & 127.8 & 130.037636894009 & 127.466666666667 & 1.02016974550740 & 0.982792390361313 \tabularnewline
68 & 131.3 & 130.20416570892 & 130.329166666667 & 0.999040882705354 & 1.00841627673826 \tabularnewline
69 & 140.3 & 135.133370186025 & 134.641666666667 & 1.00365194171709 & 1.03823355997755 \tabularnewline
70 & 137.3 & 138.613607518414 & 139.583333333333 & 0.993052710579682 & 0.99052324268929 \tabularnewline
71 & 143 & 142.133909148262 & 144.4 & 0.984306850057215 & 1.00609348505876 \tabularnewline
72 & 134.5 & 145.762543517502 & 149.025 & 0.978107992065101 & 0.922733623839725 \tabularnewline
73 & 139.9 & 154.027181134518 & 153.479166666667 & 1.00357061143707 & 0.908281246008259 \tabularnewline
74 & 159.3 & 156.905138001949 & 157.2625 & 0.997727608310619 & 1.01526312030662 \tabularnewline
75 & 170.4 & 158.478173707452 & 160.191666666667 & 0.98930348254145 & 1.07522692881706 \tabularnewline
76 & 175 & 164.181913636833 & 163.504166666667 & 1.00414513577228 & 1.06589085316118 \tabularnewline
77 & 175.8 & 167.611010361578 & 166.929166666667 & 1.00408462887898 & 1.04885711040556 \tabularnewline
78 & 180.9 & 174.355592537544 & 170.4625 & 1.02283841042777 & 1.03753482963873 \tabularnewline
79 & 180.3 & 179.069545287459 & 175.529166666667 & 1.02016974550740 & 1.00687137899728 \tabularnewline
80 & 169.6 & 180.668218296574 & 180.841666666667 & 0.999040882705354 & 0.93873732524220 \tabularnewline
81 & 172.3 & 185.746701230199 & 185.070833333333 & 1.00365194171709 & 0.92760732146982 \tabularnewline
82 & 184.8 & 188.551745701690 & 189.870833333333 & 0.993052710579682 & 0.980102301955744 \tabularnewline
83 & 177.7 & 193.174320602270 & 196.254166666667 & 0.984306850057215 & 0.919894525555854 \tabularnewline
84 & 184.6 & 199.766331029396 & 204.2375 & 0.978107992065101 & 0.924079643695491 \tabularnewline
85 & 211.4 & 214.948098792963 & 214.183333333333 & 1.00357061143707 & 0.98349323016632 \tabularnewline
86 & 215.3 & 225.419924304313 & 225.933333333333 & 0.997727608310619 & 0.95510634503341 \tabularnewline
87 & 215.9 & 235.643845345685 & 238.191666666667 & 0.98930348254145 & 0.9162131931911 \tabularnewline
88 & 244.7 & 251.362631112196 & 250.325 & 1.00414513577228 & 0.973493947438743 \tabularnewline
89 & 259.3 & 263.262622320161 & 262.191666666667 & 1.00408462887898 & 0.984948025339722 \tabularnewline
90 & 289 & 278.258927730165 & 272.045833333333 & 1.02283841042777 & 1.03860099784561 \tabularnewline
91 & 310.9 & NA & NA & 1.02016974550740 & NA \tabularnewline
92 & 321 & NA & NA & 0.999040882705354 & NA \tabularnewline
93 & 315.1 & NA & NA & 1.00365194171709 & NA \tabularnewline
94 & 333.2 & NA & NA & 0.993052710579682 & NA \tabularnewline
95 & 314.1 & NA & NA & 0.984306850057215 & NA \tabularnewline
96 & 284.7 & NA & NA & 0.978107992065101 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=36888&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]93.4[/C][C]NA[/C][C]NA[/C][C]1.00357061143707[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]98.5[/C][C]NA[/C][C]NA[/C][C]0.997727608310619[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]100.8[/C][C]NA[/C][C]NA[/C][C]0.98930348254145[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]102.3[/C][C]NA[/C][C]NA[/C][C]1.00414513577228[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]104.7[/C][C]NA[/C][C]NA[/C][C]1.00408462887898[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]101.1[/C][C]NA[/C][C]NA[/C][C]1.02283841042777[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]101.4[/C][C]102.165749305293[/C][C]100.145833333333[/C][C]1.02016974550740[/C][C]0.992504833464251[/C][/ROW]
[ROW][C]8[/C][C]99.5[/C][C]100.307867293962[/C][C]100.404166666667[/C][C]0.999040882705354[/C][C]0.991946122315664[/C][/ROW]
[ROW][C]9[/C][C]98.4[/C][C]100.599379624776[/C][C]100.233333333333[/C][C]1.00365194171709[/C][C]0.978137244653205[/C][/ROW]
[ROW][C]10[/C][C]96.3[/C][C]99.243205263557[/C][C]99.9375[/C][C]0.993052710579682[/C][C]0.97034350859849[/C][/ROW]
[ROW][C]11[/C][C]100.7[/C][C]98.0123545944472[/C][C]99.575[/C][C]0.984306850057215[/C][C]1.02742149616417[/C][/ROW]
[ROW][C]12[/C][C]101.2[/C][C]97.105746362230[/C][C]99.2791666666667[/C][C]0.978107992065101[/C][C]1.04216283578623[/C][/ROW]
[ROW][C]13[/C][C]100.3[/C][C]99.4078506070558[/C][C]99.0541666666667[/C][C]1.00357061143707[/C][C]1.00897463718908[/C][/ROW]
[ROW][C]14[/C][C]97.8[/C][C]98.587959296193[/C][C]98.8125[/C][C]0.997727608310619[/C][C]0.992007550396436[/C][/ROW]
[ROW][C]15[/C][C]97.4[/C][C]97.6566200203728[/C][C]98.7125[/C][C]0.98930348254145[/C][C]0.99737222094806[/C][/ROW]
[ROW][C]16[/C][C]98.6[/C][C]99.4396560079157[/C][C]99.0291666666667[/C][C]1.00414513577228[/C][C]0.991556125175566[/C][/ROW]
[ROW][C]17[/C][C]99.7[/C][C]100.320605482871[/C][C]99.9125[/C][C]1.00408462887898[/C][C]0.993813778536483[/C][/ROW]
[ROW][C]18[/C][C]99[/C][C]103.771218564608[/C][C]101.454166666667[/C][C]1.02283841042777[/C][C]0.954021754484486[/C][/ROW]
[ROW][C]19[/C][C]98.1[/C][C]105.931875949124[/C][C]103.8375[/C][C]1.02016974550740[/C][C]0.926066862509962[/C][/ROW]
[ROW][C]20[/C][C]97[/C][C]106.564360821904[/C][C]106.666666666667[/C][C]0.999040882705354[/C][C]0.910248034632433[/C][/ROW]
[ROW][C]21[/C][C]98.5[/C][C]109.657338398773[/C][C]109.258333333333[/C][C]1.00365194171709[/C][C]0.898252697341618[/C][/ROW]
[ROW][C]22[/C][C]103.8[/C][C]110.547455285656[/C][C]111.320833333333[/C][C]0.993052710579682[/C][C]0.93896326904839[/C][/ROW]
[ROW][C]23[/C][C]114.4[/C][C]111.070825471873[/C][C]112.841666666667[/C][C]0.984306850057215[/C][C]1.02997343824522[/C][/ROW]
[ROW][C]24[/C][C]124.5[/C][C]111.663253644132[/C][C]114.1625[/C][C]0.978107992065101[/C][C]1.11495945117969[/C][/ROW]
[ROW][C]25[/C][C]134.2[/C][C]115.862227090409[/C][C]115.45[/C][C]1.00357061143707[/C][C]1.15827222875046[/C][/ROW]
[ROW][C]26[/C][C]131.8[/C][C]116.384925509434[/C][C]116.65[/C][C]0.997727608310619[/C][C]1.13244906437060[/C][/ROW]
[ROW][C]27[/C][C]125.6[/C][C]116.688345765764[/C][C]117.95[/C][C]0.98930348254145[/C][C]1.07637141632057[/C][/ROW]
[ROW][C]28[/C][C]119.9[/C][C]119.434696023981[/C][C]118.941666666667[/C][C]1.00414513577228[/C][C]1.00389588613283[/C][/ROW]
[ROW][C]29[/C][C]114.9[/C][C]119.272702852962[/C][C]118.7875[/C][C]1.00408462887898[/C][C]0.963338611867021[/C][/ROW]
[ROW][C]30[/C][C]115.5[/C][C]120.473317441551[/C][C]117.783333333333[/C][C]1.02283841042777[/C][C]0.958718515044097[/C][/ROW]
[ROW][C]31[/C][C]112.5[/C][C]118.688248475240[/C][C]116.341666666667[/C][C]1.02016974550740[/C][C]0.947861321110231[/C][/ROW]
[ROW][C]32[/C][C]111.4[/C][C]114.490085158034[/C][C]114.6[/C][C]0.999040882705354[/C][C]0.973010019568347[/C][/ROW]
[ROW][C]33[/C][C]115.3[/C][C]113.822493956898[/C][C]113.408333333333[/C][C]1.00365194171709[/C][C]1.01298079133340[/C][/ROW]
[ROW][C]34[/C][C]110.8[/C][C]112.363914202091[/C][C]113.15[/C][C]0.993052710579682[/C][C]0.986081704137876[/C][/ROW]
[ROW][C]35[/C][C]103.7[/C][C]111.956701636924[/C][C]113.741666666667[/C][C]0.984306850057215[/C][C]0.926250938834364[/C][/ROW]
[ROW][C]36[/C][C]111.1[/C][C]112.339778338644[/C][C]114.854166666667[/C][C]0.978107992065101[/C][C]0.988964030755815[/C][/ROW]
[ROW][C]37[/C][C]113[/C][C]116.890886967132[/C][C]116.475[/C][C]1.00357061143707[/C][C]0.966713513190926[/C][/ROW]
[ROW][C]38[/C][C]111.2[/C][C]118.480153486886[/C][C]118.75[/C][C]0.997727608310619[/C][C]0.93855381451973[/C][/ROW]
[ROW][C]39[/C][C]117.6[/C][C]119.627401528481[/C][C]120.920833333333[/C][C]0.98930348254145[/C][C]0.983052365072076[/C][/ROW]
[ROW][C]40[/C][C]121.7[/C][C]123.179320592799[/C][C]122.670833333333[/C][C]1.00414513577228[/C][C]0.98799051183527[/C][/ROW]
[ROW][C]41[/C][C]127.3[/C][C]124.569249270299[/C][C]124.0625[/C][C]1.00408462887898[/C][C]1.02192154761868[/C][/ROW]
[ROW][C]42[/C][C]129.8[/C][C]127.458451419431[/C][C]124.6125[/C][C]1.02283841042777[/C][C]1.01837107351057[/C][/ROW]
[ROW][C]43[/C][C]137.1[/C][C]127.045138973854[/C][C]124.533333333333[/C][C]1.02016974550740[/C][C]1.07914400430712[/C][/ROW]
[ROW][C]44[/C][C]141.4[/C][C]124.222408423722[/C][C]124.341666666667[/C][C]0.999040882705354[/C][C]1.13828094137159[/C][/ROW]
[ROW][C]45[/C][C]137.4[/C][C]124.302292981661[/C][C]123.85[/C][C]1.00365194171709[/C][C]1.10536979410566[/C][/ROW]
[ROW][C]46[/C][C]130.7[/C][C]122.149621120928[/C][C]123.004166666667[/C][C]0.993052710579682[/C][C]1.06999922554493[/C][/ROW]
[ROW][C]47[/C][C]117.2[/C][C]119.872169222801[/C][C]121.783333333333[/C][C]0.984306850057215[/C][C]0.977708176634107[/C][/ROW]
[ROW][C]48[/C][C]110.8[/C][C]117.564505196258[/C][C]120.195833333333[/C][C]0.978107992065101[/C][C]0.942461330611941[/C][/ROW]
[ROW][C]49[/C][C]111.4[/C][C]118.893846645792[/C][C]118.470833333333[/C][C]1.00357061143707[/C][C]0.93697027342283[/C][/ROW]
[ROW][C]50[/C][C]108.2[/C][C]116.068978433469[/C][C]116.333333333333[/C][C]0.997727608310619[/C][C]0.932204293174[/C][/ROW]
[ROW][C]51[/C][C]108.8[/C][C]112.801207498945[/C][C]114.020833333333[/C][C]0.98930348254145[/C][C]0.964528682026899[/C][/ROW]
[ROW][C]52[/C][C]110.2[/C][C]112.736211180767[/C][C]112.270833333333[/C][C]1.00414513577228[/C][C]0.977503136266481[/C][/ROW]
[ROW][C]53[/C][C]109.5[/C][C]112.110232500292[/C][C]111.654166666667[/C][C]1.00408462887898[/C][C]0.976717267977435[/C][/ROW]
[ROW][C]54[/C][C]109.5[/C][C]114.425785339897[/C][C]111.870833333333[/C][C]1.02283841042777[/C][C]0.956952138669924[/C][/ROW]
[ROW][C]55[/C][C]116[/C][C]114.424789080473[/C][C]112.1625[/C][C]1.02016974550740[/C][C]1.01376634322148[/C][/ROW]
[ROW][C]56[/C][C]111.2[/C][C]112.508654074001[/C][C]112.616666666667[/C][C]0.999040882705354[/C][C]0.988368414103145[/C][/ROW]
[ROW][C]57[/C][C]112.1[/C][C]113.412669414031[/C][C]113[/C][C]1.00365194171709[/C][C]0.98842572509039[/C][/ROW]
[ROW][C]58[/C][C]114[/C][C]112.537698426442[/C][C]113.325[/C][C]0.993052710579682[/C][C]1.01299388199691[/C][/ROW]
[ROW][C]59[/C][C]119.1[/C][C]112.182271956729[/C][C]113.970833333333[/C][C]0.984306850057215[/C][C]1.06166507347916[/C][/ROW]
[ROW][C]60[/C][C]114.1[/C][C]112.563928086825[/C][C]115.083333333333[/C][C]0.978107992065101[/C][C]1.01364621810275[/C][/ROW]
[ROW][C]61[/C][C]115.1[/C][C]116.698535933274[/C][C]116.283333333333[/C][C]1.00357061143707[/C][C]0.98630200524377[/C][/ROW]
[ROW][C]62[/C][C]115.4[/C][C]117.345238332433[/C][C]117.6125[/C][C]0.997727608310619[/C][C]0.983422946170837[/C][/ROW]
[ROW][C]63[/C][C]110.8[/C][C]118.345429099021[/C][C]119.625[/C][C]0.98930348254145[/C][C]0.936242327595876[/C][/ROW]
[ROW][C]64[/C][C]116[/C][C]122.275589970604[/C][C]121.770833333333[/C][C]1.00414513577228[/C][C]0.948676673961563[/C][/ROW]
[ROW][C]65[/C][C]119.2[/C][C]124.242921765913[/C][C]123.7375[/C][C]1.00408462887898[/C][C]0.959410792226746[/C][/ROW]
[ROW][C]66[/C][C]126.5[/C][C]128.451457042888[/C][C]125.583333333333[/C][C]1.02283841042777[/C][C]0.984807824778226[/C][/ROW]
[ROW][C]67[/C][C]127.8[/C][C]130.037636894009[/C][C]127.466666666667[/C][C]1.02016974550740[/C][C]0.982792390361313[/C][/ROW]
[ROW][C]68[/C][C]131.3[/C][C]130.20416570892[/C][C]130.329166666667[/C][C]0.999040882705354[/C][C]1.00841627673826[/C][/ROW]
[ROW][C]69[/C][C]140.3[/C][C]135.133370186025[/C][C]134.641666666667[/C][C]1.00365194171709[/C][C]1.03823355997755[/C][/ROW]
[ROW][C]70[/C][C]137.3[/C][C]138.613607518414[/C][C]139.583333333333[/C][C]0.993052710579682[/C][C]0.99052324268929[/C][/ROW]
[ROW][C]71[/C][C]143[/C][C]142.133909148262[/C][C]144.4[/C][C]0.984306850057215[/C][C]1.00609348505876[/C][/ROW]
[ROW][C]72[/C][C]134.5[/C][C]145.762543517502[/C][C]149.025[/C][C]0.978107992065101[/C][C]0.922733623839725[/C][/ROW]
[ROW][C]73[/C][C]139.9[/C][C]154.027181134518[/C][C]153.479166666667[/C][C]1.00357061143707[/C][C]0.908281246008259[/C][/ROW]
[ROW][C]74[/C][C]159.3[/C][C]156.905138001949[/C][C]157.2625[/C][C]0.997727608310619[/C][C]1.01526312030662[/C][/ROW]
[ROW][C]75[/C][C]170.4[/C][C]158.478173707452[/C][C]160.191666666667[/C][C]0.98930348254145[/C][C]1.07522692881706[/C][/ROW]
[ROW][C]76[/C][C]175[/C][C]164.181913636833[/C][C]163.504166666667[/C][C]1.00414513577228[/C][C]1.06589085316118[/C][/ROW]
[ROW][C]77[/C][C]175.8[/C][C]167.611010361578[/C][C]166.929166666667[/C][C]1.00408462887898[/C][C]1.04885711040556[/C][/ROW]
[ROW][C]78[/C][C]180.9[/C][C]174.355592537544[/C][C]170.4625[/C][C]1.02283841042777[/C][C]1.03753482963873[/C][/ROW]
[ROW][C]79[/C][C]180.3[/C][C]179.069545287459[/C][C]175.529166666667[/C][C]1.02016974550740[/C][C]1.00687137899728[/C][/ROW]
[ROW][C]80[/C][C]169.6[/C][C]180.668218296574[/C][C]180.841666666667[/C][C]0.999040882705354[/C][C]0.93873732524220[/C][/ROW]
[ROW][C]81[/C][C]172.3[/C][C]185.746701230199[/C][C]185.070833333333[/C][C]1.00365194171709[/C][C]0.92760732146982[/C][/ROW]
[ROW][C]82[/C][C]184.8[/C][C]188.551745701690[/C][C]189.870833333333[/C][C]0.993052710579682[/C][C]0.980102301955744[/C][/ROW]
[ROW][C]83[/C][C]177.7[/C][C]193.174320602270[/C][C]196.254166666667[/C][C]0.984306850057215[/C][C]0.919894525555854[/C][/ROW]
[ROW][C]84[/C][C]184.6[/C][C]199.766331029396[/C][C]204.2375[/C][C]0.978107992065101[/C][C]0.924079643695491[/C][/ROW]
[ROW][C]85[/C][C]211.4[/C][C]214.948098792963[/C][C]214.183333333333[/C][C]1.00357061143707[/C][C]0.98349323016632[/C][/ROW]
[ROW][C]86[/C][C]215.3[/C][C]225.419924304313[/C][C]225.933333333333[/C][C]0.997727608310619[/C][C]0.95510634503341[/C][/ROW]
[ROW][C]87[/C][C]215.9[/C][C]235.643845345685[/C][C]238.191666666667[/C][C]0.98930348254145[/C][C]0.9162131931911[/C][/ROW]
[ROW][C]88[/C][C]244.7[/C][C]251.362631112196[/C][C]250.325[/C][C]1.00414513577228[/C][C]0.973493947438743[/C][/ROW]
[ROW][C]89[/C][C]259.3[/C][C]263.262622320161[/C][C]262.191666666667[/C][C]1.00408462887898[/C][C]0.984948025339722[/C][/ROW]
[ROW][C]90[/C][C]289[/C][C]278.258927730165[/C][C]272.045833333333[/C][C]1.02283841042777[/C][C]1.03860099784561[/C][/ROW]
[ROW][C]91[/C][C]310.9[/C][C]NA[/C][C]NA[/C][C]1.02016974550740[/C][C]NA[/C][/ROW]
[ROW][C]92[/C][C]321[/C][C]NA[/C][C]NA[/C][C]0.999040882705354[/C][C]NA[/C][/ROW]
[ROW][C]93[/C][C]315.1[/C][C]NA[/C][C]NA[/C][C]1.00365194171709[/C][C]NA[/C][/ROW]
[ROW][C]94[/C][C]333.2[/C][C]NA[/C][C]NA[/C][C]0.993052710579682[/C][C]NA[/C][/ROW]
[ROW][C]95[/C][C]314.1[/C][C]NA[/C][C]NA[/C][C]0.984306850057215[/C][C]NA[/C][/ROW]
[ROW][C]96[/C][C]284.7[/C][C]NA[/C][C]NA[/C][C]0.978107992065101[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=36888&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=36888&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
193.4NANA1.00357061143707NA
298.5NANA0.997727608310619NA
3100.8NANA0.98930348254145NA
4102.3NANA1.00414513577228NA
5104.7NANA1.00408462887898NA
6101.1NANA1.02283841042777NA
7101.4102.165749305293100.1458333333331.020169745507400.992504833464251
899.5100.307867293962100.4041666666670.9990408827053540.991946122315664
998.4100.599379624776100.2333333333331.003651941717090.978137244653205
1096.399.24320526355799.93750.9930527105796820.97034350859849
11100.798.012354594447299.5750.9843068500572151.02742149616417
12101.297.10574636223099.27916666666670.9781079920651011.04216283578623
13100.399.407850607055899.05416666666671.003570611437071.00897463718908
1497.898.58795929619398.81250.9977276083106190.992007550396436
1597.497.656620020372898.71250.989303482541450.99737222094806
1698.699.439656007915799.02916666666671.004145135772280.991556125175566
1799.7100.32060548287199.91251.004084628878980.993813778536483
1899103.771218564608101.4541666666671.022838410427770.954021754484486
1998.1105.931875949124103.83751.020169745507400.926066862509962
2097106.564360821904106.6666666666670.9990408827053540.910248034632433
2198.5109.657338398773109.2583333333331.003651941717090.898252697341618
22103.8110.547455285656111.3208333333330.9930527105796820.93896326904839
23114.4111.070825471873112.8416666666670.9843068500572151.02997343824522
24124.5111.663253644132114.16250.9781079920651011.11495945117969
25134.2115.862227090409115.451.003570611437071.15827222875046
26131.8116.384925509434116.650.9977276083106191.13244906437060
27125.6116.688345765764117.950.989303482541451.07637141632057
28119.9119.434696023981118.9416666666671.004145135772281.00389588613283
29114.9119.272702852962118.78751.004084628878980.963338611867021
30115.5120.473317441551117.7833333333331.022838410427770.958718515044097
31112.5118.688248475240116.3416666666671.020169745507400.947861321110231
32111.4114.490085158034114.60.9990408827053540.973010019568347
33115.3113.822493956898113.4083333333331.003651941717091.01298079133340
34110.8112.363914202091113.150.9930527105796820.986081704137876
35103.7111.956701636924113.7416666666670.9843068500572150.926250938834364
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Parameters (Session):
par1 = multiplicative ; par2 = 12 ;
Parameters (R input):
par1 = multiplicative ; 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$trend)) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
if (par1 == 'additive') a<-table.element(a,m$trend[i]+m$seasonal[i]) else a<-table.element(a,m$trend[i]*m$seasonal[i])
a<-table.element(a,m$trend[i])
a<-table.element(a,m$seasonal[i])
a<-table.element(a,m$random[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')