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Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationWed, 29 Jul 2015 16:01:02 +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/Jul/29/t1438182105omixsyc424vhixf.htm/, Retrieved Fri, 17 May 2024 03:25:02 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=279744, Retrieved Fri, 17 May 2024 03:25:02 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact151
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [] [2015-07-29 15:01:02] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
228768.00
227916.00
227052.00
225264.00
242952.00
242016.00
228768.00
219960.00
220812.00
220812.00
221760.00
223464.00
226116.00
226116.00
224412.00
219960.00
242952.00
246456.00
241164.00
228768.00
234072.00
226116.00
229704.00
231420.00
233208.00
228768.00
229704.00
223464.00
242952.00
249108.00
243816.00
234072.00
244668.00
233208.00
243816.00
242952.00
245604.00
235860.00
246456.00
245604.00
261504.00
257916.00
243816.00
236712.00
246456.00
233208.00
242952.00
244668.00
248256.00
240312.00
244668.00
247320.00
257064.00
249108.00
238512.00
227052.00
237660.00
208500.00
222612.00
230556.00
238512.00
227052.00
227052.00
227052.00
233208.00
224412.00
212868.00
203208.00
210216.00
182856.00
199620.00
209364.00
211152.00
201408.00
202260.00
199620.00
208500.00
202260.00
189960.00
181068.00
196104.00
163452.00
184656.00
194316.00
194316.00
182856.00
172260.00
171408.00
181068.00
172260.00
155508.00
143964.00
156360.00
127212.00
153708.00
167808.00
172260.00
162516.00
150204.00
159012.00
162516.00
159864.00
133356.00
121056.00
129852.00
103356.00
130716.00
140460.00
148404.00
135156.00
122760.00
129852.00
133356.00
126348.00
99852.00
88308.00
98904.00
69756.00
101556.00
121056.00




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ jenkins.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 & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=279744&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' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=279744&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=279744&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' @ jenkins.wessa.net







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
1228768NANA7938.33NA
2227916NANA501.995NA
3227052NANA-576.116NA
4225264NANA1078.27NA
5242952NANA13426.1NA
6242016NANA10524.7NA
7228768226187227352-1164.342580.84
8219960216591227166-10574.83368.84
9220812226245226981-735.894-5433.11
10220812207119226650-19531.313693.3
11221760222383226429-4046.23-622.773
122234642297732266143159.33-6309.33
132261162352542273167938.33-9137.83
14226116228701228199501.995-2585
15224412228542229118-576.116-4130.38
162199602309702298921078.27-11010.3
1724295224387023044413426.1-918.106
1824645624163123110610524.74824.78
19241164230569231734-1164.3410594.8
20228768221565232140-10574.87203.34
21234072231735232470-735.8942337.39
22226116213306232837-19531.312810.3
23229704228937232983-4046.23767.227
242314202362532330943159.33-4832.83
252332082412532333147938.33-8044.83
26228768234148233646501.995-5380
27229704233732234308-576.116-4028.38
282234642361242350461078.27-12659.8
2924295224935523592913426.1-6403.11
3024910824752223699810524.71585.78
31243816236830237994-1164.346985.84
32234072228232238806-10574.85840.34
33244668239064239800-735.8945603.89
34233208221889241420-19531.311318.8
35243816239070243116-4046.234746.23
362429522474152442563159.33-4463.33
372456042525612446237938.33-6957.33
38235860245235244733501.995-9375
39246456244341244918-576.1162114.62
402456042460702449921078.27-466.273
4126150425838224495613426.13121.89
4225791625551624499210524.72399.78
43243816244009245174-1164.34-193.162
44236712234895245470-10574.81817.34
45246456244845245580-735.8941611.39
46233208226046245578-19531.37161.84
47242952241418245464-4046.231534.23
482446682480712449123159.33-3403.33
492482562522622443247938.33-4006.33
50240312244202243700501.995-3890.5
51244668242355242932-576.1162312.62
522473202426142415361078.274706.23
5325706425308523965813426.13979.39
5424910824874823822310524.7360.282
55238512236065237229-1164.342447.34
56227052225696236270-10574.81356.34
57237660234248234984-735.8943411.89
58208500213874233406-19531.3-5374.16
59222612227521231567-4046.23-4908.77
602305562327032295443159.33-2147.33
612385122353852274467938.333127.17
62227052225886225384501.9951165.5
63227052222671223248-576.1164380.62
642270522221142210361078.274938.23
6523320823243521900913426.1772.894
6622441222769321716810524.7-3280.72
67212868213981215145-1164.34-1112.66
68203208202362212936-10574.8846.338
69210216210099210835-735.894116.894
70182856189128208659-19531.3-6271.66
71199620202440206486-4046.23-2820.27
722093642076932045343159.331670.67
732111522105952026567938.33557.171
74201408201281200780501.995126.505
75202260198693199269-576.1163567.12
761996201989511978721078.27669.227
7720850020986719644013426.1-1366.61
7820226020571519519010524.7-3454.72
79189960192697193862-1164.34-2737.16
80181068181812192387-10574.8-744.162
81196104189628190364-735.8946475.89
82163452168407187938-19531.3-4955.16
83184656181574185620-4046.233082.23
841943161863861832273159.337929.67
851943161884801805427938.335836.17
86182856178062177560501.9954794
87172260173782174358-576.116-1521.88
881714081722701711921078.27-862.273
8918106818181916839213426.1-750.606
9017226017652316599810524.7-4263.22
91155508162811163975-1164.34-7302.66
92143964151634162208-10574.8-7669.66
93156360159706160442-735.894-3346.11
94127212139475159006-19531.3-12263.2
95153708153671157717-4046.2337.2269
961678081595871564283159.338221.17
971722601629261549887938.339333.67
98162516153612153110501.9958903.5
99150204150475151052-576.116-271.384
1001590121500311489531078.278980.73
10116251616042714700113426.12088.89
10215986415542814490410524.74435.78
103133356141606142770-1164.34-8249.66
104121056130061140636-10574.8-9005.16
105129852137617138352-735.894-7764.61
106103356116463135994-19531.3-13106.7
107130716129518133564-4046.231198.23
1081404601341121309523159.336348.17
1091484041360981281607938.3312305.7
110135156125901125400501.9959254.5
111122760122169122746-576.116590.616
1121298521211341200561078.278717.73
11313335613086711744113426.12488.89
11412634812594211541810524.7405.782
11599852NANA-1164.34NA
11688308NANA-10574.8NA
11798904NANA-735.894NA
11869756NANA-19531.3NA
119101556NANA-4046.23NA
120121056NANA3159.33NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 228768 & NA & NA & 7938.33 & NA \tabularnewline
2 & 227916 & NA & NA & 501.995 & NA \tabularnewline
3 & 227052 & NA & NA & -576.116 & NA \tabularnewline
4 & 225264 & NA & NA & 1078.27 & NA \tabularnewline
5 & 242952 & NA & NA & 13426.1 & NA \tabularnewline
6 & 242016 & NA & NA & 10524.7 & NA \tabularnewline
7 & 228768 & 226187 & 227352 & -1164.34 & 2580.84 \tabularnewline
8 & 219960 & 216591 & 227166 & -10574.8 & 3368.84 \tabularnewline
9 & 220812 & 226245 & 226981 & -735.894 & -5433.11 \tabularnewline
10 & 220812 & 207119 & 226650 & -19531.3 & 13693.3 \tabularnewline
11 & 221760 & 222383 & 226429 & -4046.23 & -622.773 \tabularnewline
12 & 223464 & 229773 & 226614 & 3159.33 & -6309.33 \tabularnewline
13 & 226116 & 235254 & 227316 & 7938.33 & -9137.83 \tabularnewline
14 & 226116 & 228701 & 228199 & 501.995 & -2585 \tabularnewline
15 & 224412 & 228542 & 229118 & -576.116 & -4130.38 \tabularnewline
16 & 219960 & 230970 & 229892 & 1078.27 & -11010.3 \tabularnewline
17 & 242952 & 243870 & 230444 & 13426.1 & -918.106 \tabularnewline
18 & 246456 & 241631 & 231106 & 10524.7 & 4824.78 \tabularnewline
19 & 241164 & 230569 & 231734 & -1164.34 & 10594.8 \tabularnewline
20 & 228768 & 221565 & 232140 & -10574.8 & 7203.34 \tabularnewline
21 & 234072 & 231735 & 232470 & -735.894 & 2337.39 \tabularnewline
22 & 226116 & 213306 & 232837 & -19531.3 & 12810.3 \tabularnewline
23 & 229704 & 228937 & 232983 & -4046.23 & 767.227 \tabularnewline
24 & 231420 & 236253 & 233094 & 3159.33 & -4832.83 \tabularnewline
25 & 233208 & 241253 & 233314 & 7938.33 & -8044.83 \tabularnewline
26 & 228768 & 234148 & 233646 & 501.995 & -5380 \tabularnewline
27 & 229704 & 233732 & 234308 & -576.116 & -4028.38 \tabularnewline
28 & 223464 & 236124 & 235046 & 1078.27 & -12659.8 \tabularnewline
29 & 242952 & 249355 & 235929 & 13426.1 & -6403.11 \tabularnewline
30 & 249108 & 247522 & 236998 & 10524.7 & 1585.78 \tabularnewline
31 & 243816 & 236830 & 237994 & -1164.34 & 6985.84 \tabularnewline
32 & 234072 & 228232 & 238806 & -10574.8 & 5840.34 \tabularnewline
33 & 244668 & 239064 & 239800 & -735.894 & 5603.89 \tabularnewline
34 & 233208 & 221889 & 241420 & -19531.3 & 11318.8 \tabularnewline
35 & 243816 & 239070 & 243116 & -4046.23 & 4746.23 \tabularnewline
36 & 242952 & 247415 & 244256 & 3159.33 & -4463.33 \tabularnewline
37 & 245604 & 252561 & 244623 & 7938.33 & -6957.33 \tabularnewline
38 & 235860 & 245235 & 244733 & 501.995 & -9375 \tabularnewline
39 & 246456 & 244341 & 244918 & -576.116 & 2114.62 \tabularnewline
40 & 245604 & 246070 & 244992 & 1078.27 & -466.273 \tabularnewline
41 & 261504 & 258382 & 244956 & 13426.1 & 3121.89 \tabularnewline
42 & 257916 & 255516 & 244992 & 10524.7 & 2399.78 \tabularnewline
43 & 243816 & 244009 & 245174 & -1164.34 & -193.162 \tabularnewline
44 & 236712 & 234895 & 245470 & -10574.8 & 1817.34 \tabularnewline
45 & 246456 & 244845 & 245580 & -735.894 & 1611.39 \tabularnewline
46 & 233208 & 226046 & 245578 & -19531.3 & 7161.84 \tabularnewline
47 & 242952 & 241418 & 245464 & -4046.23 & 1534.23 \tabularnewline
48 & 244668 & 248071 & 244912 & 3159.33 & -3403.33 \tabularnewline
49 & 248256 & 252262 & 244324 & 7938.33 & -4006.33 \tabularnewline
50 & 240312 & 244202 & 243700 & 501.995 & -3890.5 \tabularnewline
51 & 244668 & 242355 & 242932 & -576.116 & 2312.62 \tabularnewline
52 & 247320 & 242614 & 241536 & 1078.27 & 4706.23 \tabularnewline
53 & 257064 & 253085 & 239658 & 13426.1 & 3979.39 \tabularnewline
54 & 249108 & 248748 & 238223 & 10524.7 & 360.282 \tabularnewline
55 & 238512 & 236065 & 237229 & -1164.34 & 2447.34 \tabularnewline
56 & 227052 & 225696 & 236270 & -10574.8 & 1356.34 \tabularnewline
57 & 237660 & 234248 & 234984 & -735.894 & 3411.89 \tabularnewline
58 & 208500 & 213874 & 233406 & -19531.3 & -5374.16 \tabularnewline
59 & 222612 & 227521 & 231567 & -4046.23 & -4908.77 \tabularnewline
60 & 230556 & 232703 & 229544 & 3159.33 & -2147.33 \tabularnewline
61 & 238512 & 235385 & 227446 & 7938.33 & 3127.17 \tabularnewline
62 & 227052 & 225886 & 225384 & 501.995 & 1165.5 \tabularnewline
63 & 227052 & 222671 & 223248 & -576.116 & 4380.62 \tabularnewline
64 & 227052 & 222114 & 221036 & 1078.27 & 4938.23 \tabularnewline
65 & 233208 & 232435 & 219009 & 13426.1 & 772.894 \tabularnewline
66 & 224412 & 227693 & 217168 & 10524.7 & -3280.72 \tabularnewline
67 & 212868 & 213981 & 215145 & -1164.34 & -1112.66 \tabularnewline
68 & 203208 & 202362 & 212936 & -10574.8 & 846.338 \tabularnewline
69 & 210216 & 210099 & 210835 & -735.894 & 116.894 \tabularnewline
70 & 182856 & 189128 & 208659 & -19531.3 & -6271.66 \tabularnewline
71 & 199620 & 202440 & 206486 & -4046.23 & -2820.27 \tabularnewline
72 & 209364 & 207693 & 204534 & 3159.33 & 1670.67 \tabularnewline
73 & 211152 & 210595 & 202656 & 7938.33 & 557.171 \tabularnewline
74 & 201408 & 201281 & 200780 & 501.995 & 126.505 \tabularnewline
75 & 202260 & 198693 & 199269 & -576.116 & 3567.12 \tabularnewline
76 & 199620 & 198951 & 197872 & 1078.27 & 669.227 \tabularnewline
77 & 208500 & 209867 & 196440 & 13426.1 & -1366.61 \tabularnewline
78 & 202260 & 205715 & 195190 & 10524.7 & -3454.72 \tabularnewline
79 & 189960 & 192697 & 193862 & -1164.34 & -2737.16 \tabularnewline
80 & 181068 & 181812 & 192387 & -10574.8 & -744.162 \tabularnewline
81 & 196104 & 189628 & 190364 & -735.894 & 6475.89 \tabularnewline
82 & 163452 & 168407 & 187938 & -19531.3 & -4955.16 \tabularnewline
83 & 184656 & 181574 & 185620 & -4046.23 & 3082.23 \tabularnewline
84 & 194316 & 186386 & 183227 & 3159.33 & 7929.67 \tabularnewline
85 & 194316 & 188480 & 180542 & 7938.33 & 5836.17 \tabularnewline
86 & 182856 & 178062 & 177560 & 501.995 & 4794 \tabularnewline
87 & 172260 & 173782 & 174358 & -576.116 & -1521.88 \tabularnewline
88 & 171408 & 172270 & 171192 & 1078.27 & -862.273 \tabularnewline
89 & 181068 & 181819 & 168392 & 13426.1 & -750.606 \tabularnewline
90 & 172260 & 176523 & 165998 & 10524.7 & -4263.22 \tabularnewline
91 & 155508 & 162811 & 163975 & -1164.34 & -7302.66 \tabularnewline
92 & 143964 & 151634 & 162208 & -10574.8 & -7669.66 \tabularnewline
93 & 156360 & 159706 & 160442 & -735.894 & -3346.11 \tabularnewline
94 & 127212 & 139475 & 159006 & -19531.3 & -12263.2 \tabularnewline
95 & 153708 & 153671 & 157717 & -4046.23 & 37.2269 \tabularnewline
96 & 167808 & 159587 & 156428 & 3159.33 & 8221.17 \tabularnewline
97 & 172260 & 162926 & 154988 & 7938.33 & 9333.67 \tabularnewline
98 & 162516 & 153612 & 153110 & 501.995 & 8903.5 \tabularnewline
99 & 150204 & 150475 & 151052 & -576.116 & -271.384 \tabularnewline
100 & 159012 & 150031 & 148953 & 1078.27 & 8980.73 \tabularnewline
101 & 162516 & 160427 & 147001 & 13426.1 & 2088.89 \tabularnewline
102 & 159864 & 155428 & 144904 & 10524.7 & 4435.78 \tabularnewline
103 & 133356 & 141606 & 142770 & -1164.34 & -8249.66 \tabularnewline
104 & 121056 & 130061 & 140636 & -10574.8 & -9005.16 \tabularnewline
105 & 129852 & 137617 & 138352 & -735.894 & -7764.61 \tabularnewline
106 & 103356 & 116463 & 135994 & -19531.3 & -13106.7 \tabularnewline
107 & 130716 & 129518 & 133564 & -4046.23 & 1198.23 \tabularnewline
108 & 140460 & 134112 & 130952 & 3159.33 & 6348.17 \tabularnewline
109 & 148404 & 136098 & 128160 & 7938.33 & 12305.7 \tabularnewline
110 & 135156 & 125901 & 125400 & 501.995 & 9254.5 \tabularnewline
111 & 122760 & 122169 & 122746 & -576.116 & 590.616 \tabularnewline
112 & 129852 & 121134 & 120056 & 1078.27 & 8717.73 \tabularnewline
113 & 133356 & 130867 & 117441 & 13426.1 & 2488.89 \tabularnewline
114 & 126348 & 125942 & 115418 & 10524.7 & 405.782 \tabularnewline
115 & 99852 & NA & NA & -1164.34 & NA \tabularnewline
116 & 88308 & NA & NA & -10574.8 & NA \tabularnewline
117 & 98904 & NA & NA & -735.894 & NA \tabularnewline
118 & 69756 & NA & NA & -19531.3 & NA \tabularnewline
119 & 101556 & NA & NA & -4046.23 & NA \tabularnewline
120 & 121056 & NA & NA & 3159.33 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=279744&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]228768[/C][C]NA[/C][C]NA[/C][C]7938.33[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]227916[/C][C]NA[/C][C]NA[/C][C]501.995[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]227052[/C][C]NA[/C][C]NA[/C][C]-576.116[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]225264[/C][C]NA[/C][C]NA[/C][C]1078.27[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]242952[/C][C]NA[/C][C]NA[/C][C]13426.1[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]242016[/C][C]NA[/C][C]NA[/C][C]10524.7[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]228768[/C][C]226187[/C][C]227352[/C][C]-1164.34[/C][C]2580.84[/C][/ROW]
[ROW][C]8[/C][C]219960[/C][C]216591[/C][C]227166[/C][C]-10574.8[/C][C]3368.84[/C][/ROW]
[ROW][C]9[/C][C]220812[/C][C]226245[/C][C]226981[/C][C]-735.894[/C][C]-5433.11[/C][/ROW]
[ROW][C]10[/C][C]220812[/C][C]207119[/C][C]226650[/C][C]-19531.3[/C][C]13693.3[/C][/ROW]
[ROW][C]11[/C][C]221760[/C][C]222383[/C][C]226429[/C][C]-4046.23[/C][C]-622.773[/C][/ROW]
[ROW][C]12[/C][C]223464[/C][C]229773[/C][C]226614[/C][C]3159.33[/C][C]-6309.33[/C][/ROW]
[ROW][C]13[/C][C]226116[/C][C]235254[/C][C]227316[/C][C]7938.33[/C][C]-9137.83[/C][/ROW]
[ROW][C]14[/C][C]226116[/C][C]228701[/C][C]228199[/C][C]501.995[/C][C]-2585[/C][/ROW]
[ROW][C]15[/C][C]224412[/C][C]228542[/C][C]229118[/C][C]-576.116[/C][C]-4130.38[/C][/ROW]
[ROW][C]16[/C][C]219960[/C][C]230970[/C][C]229892[/C][C]1078.27[/C][C]-11010.3[/C][/ROW]
[ROW][C]17[/C][C]242952[/C][C]243870[/C][C]230444[/C][C]13426.1[/C][C]-918.106[/C][/ROW]
[ROW][C]18[/C][C]246456[/C][C]241631[/C][C]231106[/C][C]10524.7[/C][C]4824.78[/C][/ROW]
[ROW][C]19[/C][C]241164[/C][C]230569[/C][C]231734[/C][C]-1164.34[/C][C]10594.8[/C][/ROW]
[ROW][C]20[/C][C]228768[/C][C]221565[/C][C]232140[/C][C]-10574.8[/C][C]7203.34[/C][/ROW]
[ROW][C]21[/C][C]234072[/C][C]231735[/C][C]232470[/C][C]-735.894[/C][C]2337.39[/C][/ROW]
[ROW][C]22[/C][C]226116[/C][C]213306[/C][C]232837[/C][C]-19531.3[/C][C]12810.3[/C][/ROW]
[ROW][C]23[/C][C]229704[/C][C]228937[/C][C]232983[/C][C]-4046.23[/C][C]767.227[/C][/ROW]
[ROW][C]24[/C][C]231420[/C][C]236253[/C][C]233094[/C][C]3159.33[/C][C]-4832.83[/C][/ROW]
[ROW][C]25[/C][C]233208[/C][C]241253[/C][C]233314[/C][C]7938.33[/C][C]-8044.83[/C][/ROW]
[ROW][C]26[/C][C]228768[/C][C]234148[/C][C]233646[/C][C]501.995[/C][C]-5380[/C][/ROW]
[ROW][C]27[/C][C]229704[/C][C]233732[/C][C]234308[/C][C]-576.116[/C][C]-4028.38[/C][/ROW]
[ROW][C]28[/C][C]223464[/C][C]236124[/C][C]235046[/C][C]1078.27[/C][C]-12659.8[/C][/ROW]
[ROW][C]29[/C][C]242952[/C][C]249355[/C][C]235929[/C][C]13426.1[/C][C]-6403.11[/C][/ROW]
[ROW][C]30[/C][C]249108[/C][C]247522[/C][C]236998[/C][C]10524.7[/C][C]1585.78[/C][/ROW]
[ROW][C]31[/C][C]243816[/C][C]236830[/C][C]237994[/C][C]-1164.34[/C][C]6985.84[/C][/ROW]
[ROW][C]32[/C][C]234072[/C][C]228232[/C][C]238806[/C][C]-10574.8[/C][C]5840.34[/C][/ROW]
[ROW][C]33[/C][C]244668[/C][C]239064[/C][C]239800[/C][C]-735.894[/C][C]5603.89[/C][/ROW]
[ROW][C]34[/C][C]233208[/C][C]221889[/C][C]241420[/C][C]-19531.3[/C][C]11318.8[/C][/ROW]
[ROW][C]35[/C][C]243816[/C][C]239070[/C][C]243116[/C][C]-4046.23[/C][C]4746.23[/C][/ROW]
[ROW][C]36[/C][C]242952[/C][C]247415[/C][C]244256[/C][C]3159.33[/C][C]-4463.33[/C][/ROW]
[ROW][C]37[/C][C]245604[/C][C]252561[/C][C]244623[/C][C]7938.33[/C][C]-6957.33[/C][/ROW]
[ROW][C]38[/C][C]235860[/C][C]245235[/C][C]244733[/C][C]501.995[/C][C]-9375[/C][/ROW]
[ROW][C]39[/C][C]246456[/C][C]244341[/C][C]244918[/C][C]-576.116[/C][C]2114.62[/C][/ROW]
[ROW][C]40[/C][C]245604[/C][C]246070[/C][C]244992[/C][C]1078.27[/C][C]-466.273[/C][/ROW]
[ROW][C]41[/C][C]261504[/C][C]258382[/C][C]244956[/C][C]13426.1[/C][C]3121.89[/C][/ROW]
[ROW][C]42[/C][C]257916[/C][C]255516[/C][C]244992[/C][C]10524.7[/C][C]2399.78[/C][/ROW]
[ROW][C]43[/C][C]243816[/C][C]244009[/C][C]245174[/C][C]-1164.34[/C][C]-193.162[/C][/ROW]
[ROW][C]44[/C][C]236712[/C][C]234895[/C][C]245470[/C][C]-10574.8[/C][C]1817.34[/C][/ROW]
[ROW][C]45[/C][C]246456[/C][C]244845[/C][C]245580[/C][C]-735.894[/C][C]1611.39[/C][/ROW]
[ROW][C]46[/C][C]233208[/C][C]226046[/C][C]245578[/C][C]-19531.3[/C][C]7161.84[/C][/ROW]
[ROW][C]47[/C][C]242952[/C][C]241418[/C][C]245464[/C][C]-4046.23[/C][C]1534.23[/C][/ROW]
[ROW][C]48[/C][C]244668[/C][C]248071[/C][C]244912[/C][C]3159.33[/C][C]-3403.33[/C][/ROW]
[ROW][C]49[/C][C]248256[/C][C]252262[/C][C]244324[/C][C]7938.33[/C][C]-4006.33[/C][/ROW]
[ROW][C]50[/C][C]240312[/C][C]244202[/C][C]243700[/C][C]501.995[/C][C]-3890.5[/C][/ROW]
[ROW][C]51[/C][C]244668[/C][C]242355[/C][C]242932[/C][C]-576.116[/C][C]2312.62[/C][/ROW]
[ROW][C]52[/C][C]247320[/C][C]242614[/C][C]241536[/C][C]1078.27[/C][C]4706.23[/C][/ROW]
[ROW][C]53[/C][C]257064[/C][C]253085[/C][C]239658[/C][C]13426.1[/C][C]3979.39[/C][/ROW]
[ROW][C]54[/C][C]249108[/C][C]248748[/C][C]238223[/C][C]10524.7[/C][C]360.282[/C][/ROW]
[ROW][C]55[/C][C]238512[/C][C]236065[/C][C]237229[/C][C]-1164.34[/C][C]2447.34[/C][/ROW]
[ROW][C]56[/C][C]227052[/C][C]225696[/C][C]236270[/C][C]-10574.8[/C][C]1356.34[/C][/ROW]
[ROW][C]57[/C][C]237660[/C][C]234248[/C][C]234984[/C][C]-735.894[/C][C]3411.89[/C][/ROW]
[ROW][C]58[/C][C]208500[/C][C]213874[/C][C]233406[/C][C]-19531.3[/C][C]-5374.16[/C][/ROW]
[ROW][C]59[/C][C]222612[/C][C]227521[/C][C]231567[/C][C]-4046.23[/C][C]-4908.77[/C][/ROW]
[ROW][C]60[/C][C]230556[/C][C]232703[/C][C]229544[/C][C]3159.33[/C][C]-2147.33[/C][/ROW]
[ROW][C]61[/C][C]238512[/C][C]235385[/C][C]227446[/C][C]7938.33[/C][C]3127.17[/C][/ROW]
[ROW][C]62[/C][C]227052[/C][C]225886[/C][C]225384[/C][C]501.995[/C][C]1165.5[/C][/ROW]
[ROW][C]63[/C][C]227052[/C][C]222671[/C][C]223248[/C][C]-576.116[/C][C]4380.62[/C][/ROW]
[ROW][C]64[/C][C]227052[/C][C]222114[/C][C]221036[/C][C]1078.27[/C][C]4938.23[/C][/ROW]
[ROW][C]65[/C][C]233208[/C][C]232435[/C][C]219009[/C][C]13426.1[/C][C]772.894[/C][/ROW]
[ROW][C]66[/C][C]224412[/C][C]227693[/C][C]217168[/C][C]10524.7[/C][C]-3280.72[/C][/ROW]
[ROW][C]67[/C][C]212868[/C][C]213981[/C][C]215145[/C][C]-1164.34[/C][C]-1112.66[/C][/ROW]
[ROW][C]68[/C][C]203208[/C][C]202362[/C][C]212936[/C][C]-10574.8[/C][C]846.338[/C][/ROW]
[ROW][C]69[/C][C]210216[/C][C]210099[/C][C]210835[/C][C]-735.894[/C][C]116.894[/C][/ROW]
[ROW][C]70[/C][C]182856[/C][C]189128[/C][C]208659[/C][C]-19531.3[/C][C]-6271.66[/C][/ROW]
[ROW][C]71[/C][C]199620[/C][C]202440[/C][C]206486[/C][C]-4046.23[/C][C]-2820.27[/C][/ROW]
[ROW][C]72[/C][C]209364[/C][C]207693[/C][C]204534[/C][C]3159.33[/C][C]1670.67[/C][/ROW]
[ROW][C]73[/C][C]211152[/C][C]210595[/C][C]202656[/C][C]7938.33[/C][C]557.171[/C][/ROW]
[ROW][C]74[/C][C]201408[/C][C]201281[/C][C]200780[/C][C]501.995[/C][C]126.505[/C][/ROW]
[ROW][C]75[/C][C]202260[/C][C]198693[/C][C]199269[/C][C]-576.116[/C][C]3567.12[/C][/ROW]
[ROW][C]76[/C][C]199620[/C][C]198951[/C][C]197872[/C][C]1078.27[/C][C]669.227[/C][/ROW]
[ROW][C]77[/C][C]208500[/C][C]209867[/C][C]196440[/C][C]13426.1[/C][C]-1366.61[/C][/ROW]
[ROW][C]78[/C][C]202260[/C][C]205715[/C][C]195190[/C][C]10524.7[/C][C]-3454.72[/C][/ROW]
[ROW][C]79[/C][C]189960[/C][C]192697[/C][C]193862[/C][C]-1164.34[/C][C]-2737.16[/C][/ROW]
[ROW][C]80[/C][C]181068[/C][C]181812[/C][C]192387[/C][C]-10574.8[/C][C]-744.162[/C][/ROW]
[ROW][C]81[/C][C]196104[/C][C]189628[/C][C]190364[/C][C]-735.894[/C][C]6475.89[/C][/ROW]
[ROW][C]82[/C][C]163452[/C][C]168407[/C][C]187938[/C][C]-19531.3[/C][C]-4955.16[/C][/ROW]
[ROW][C]83[/C][C]184656[/C][C]181574[/C][C]185620[/C][C]-4046.23[/C][C]3082.23[/C][/ROW]
[ROW][C]84[/C][C]194316[/C][C]186386[/C][C]183227[/C][C]3159.33[/C][C]7929.67[/C][/ROW]
[ROW][C]85[/C][C]194316[/C][C]188480[/C][C]180542[/C][C]7938.33[/C][C]5836.17[/C][/ROW]
[ROW][C]86[/C][C]182856[/C][C]178062[/C][C]177560[/C][C]501.995[/C][C]4794[/C][/ROW]
[ROW][C]87[/C][C]172260[/C][C]173782[/C][C]174358[/C][C]-576.116[/C][C]-1521.88[/C][/ROW]
[ROW][C]88[/C][C]171408[/C][C]172270[/C][C]171192[/C][C]1078.27[/C][C]-862.273[/C][/ROW]
[ROW][C]89[/C][C]181068[/C][C]181819[/C][C]168392[/C][C]13426.1[/C][C]-750.606[/C][/ROW]
[ROW][C]90[/C][C]172260[/C][C]176523[/C][C]165998[/C][C]10524.7[/C][C]-4263.22[/C][/ROW]
[ROW][C]91[/C][C]155508[/C][C]162811[/C][C]163975[/C][C]-1164.34[/C][C]-7302.66[/C][/ROW]
[ROW][C]92[/C][C]143964[/C][C]151634[/C][C]162208[/C][C]-10574.8[/C][C]-7669.66[/C][/ROW]
[ROW][C]93[/C][C]156360[/C][C]159706[/C][C]160442[/C][C]-735.894[/C][C]-3346.11[/C][/ROW]
[ROW][C]94[/C][C]127212[/C][C]139475[/C][C]159006[/C][C]-19531.3[/C][C]-12263.2[/C][/ROW]
[ROW][C]95[/C][C]153708[/C][C]153671[/C][C]157717[/C][C]-4046.23[/C][C]37.2269[/C][/ROW]
[ROW][C]96[/C][C]167808[/C][C]159587[/C][C]156428[/C][C]3159.33[/C][C]8221.17[/C][/ROW]
[ROW][C]97[/C][C]172260[/C][C]162926[/C][C]154988[/C][C]7938.33[/C][C]9333.67[/C][/ROW]
[ROW][C]98[/C][C]162516[/C][C]153612[/C][C]153110[/C][C]501.995[/C][C]8903.5[/C][/ROW]
[ROW][C]99[/C][C]150204[/C][C]150475[/C][C]151052[/C][C]-576.116[/C][C]-271.384[/C][/ROW]
[ROW][C]100[/C][C]159012[/C][C]150031[/C][C]148953[/C][C]1078.27[/C][C]8980.73[/C][/ROW]
[ROW][C]101[/C][C]162516[/C][C]160427[/C][C]147001[/C][C]13426.1[/C][C]2088.89[/C][/ROW]
[ROW][C]102[/C][C]159864[/C][C]155428[/C][C]144904[/C][C]10524.7[/C][C]4435.78[/C][/ROW]
[ROW][C]103[/C][C]133356[/C][C]141606[/C][C]142770[/C][C]-1164.34[/C][C]-8249.66[/C][/ROW]
[ROW][C]104[/C][C]121056[/C][C]130061[/C][C]140636[/C][C]-10574.8[/C][C]-9005.16[/C][/ROW]
[ROW][C]105[/C][C]129852[/C][C]137617[/C][C]138352[/C][C]-735.894[/C][C]-7764.61[/C][/ROW]
[ROW][C]106[/C][C]103356[/C][C]116463[/C][C]135994[/C][C]-19531.3[/C][C]-13106.7[/C][/ROW]
[ROW][C]107[/C][C]130716[/C][C]129518[/C][C]133564[/C][C]-4046.23[/C][C]1198.23[/C][/ROW]
[ROW][C]108[/C][C]140460[/C][C]134112[/C][C]130952[/C][C]3159.33[/C][C]6348.17[/C][/ROW]
[ROW][C]109[/C][C]148404[/C][C]136098[/C][C]128160[/C][C]7938.33[/C][C]12305.7[/C][/ROW]
[ROW][C]110[/C][C]135156[/C][C]125901[/C][C]125400[/C][C]501.995[/C][C]9254.5[/C][/ROW]
[ROW][C]111[/C][C]122760[/C][C]122169[/C][C]122746[/C][C]-576.116[/C][C]590.616[/C][/ROW]
[ROW][C]112[/C][C]129852[/C][C]121134[/C][C]120056[/C][C]1078.27[/C][C]8717.73[/C][/ROW]
[ROW][C]113[/C][C]133356[/C][C]130867[/C][C]117441[/C][C]13426.1[/C][C]2488.89[/C][/ROW]
[ROW][C]114[/C][C]126348[/C][C]125942[/C][C]115418[/C][C]10524.7[/C][C]405.782[/C][/ROW]
[ROW][C]115[/C][C]99852[/C][C]NA[/C][C]NA[/C][C]-1164.34[/C][C]NA[/C][/ROW]
[ROW][C]116[/C][C]88308[/C][C]NA[/C][C]NA[/C][C]-10574.8[/C][C]NA[/C][/ROW]
[ROW][C]117[/C][C]98904[/C][C]NA[/C][C]NA[/C][C]-735.894[/C][C]NA[/C][/ROW]
[ROW][C]118[/C][C]69756[/C][C]NA[/C][C]NA[/C][C]-19531.3[/C][C]NA[/C][/ROW]
[ROW][C]119[/C][C]101556[/C][C]NA[/C][C]NA[/C][C]-4046.23[/C][C]NA[/C][/ROW]
[ROW][C]120[/C][C]121056[/C][C]NA[/C][C]NA[/C][C]3159.33[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=279744&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=279744&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
1228768NANA7938.33NA
2227916NANA501.995NA
3227052NANA-576.116NA
4225264NANA1078.27NA
5242952NANA13426.1NA
6242016NANA10524.7NA
7228768226187227352-1164.342580.84
8219960216591227166-10574.83368.84
9220812226245226981-735.894-5433.11
10220812207119226650-19531.313693.3
11221760222383226429-4046.23-622.773
122234642297732266143159.33-6309.33
132261162352542273167938.33-9137.83
14226116228701228199501.995-2585
15224412228542229118-576.116-4130.38
162199602309702298921078.27-11010.3
1724295224387023044413426.1-918.106
1824645624163123110610524.74824.78
19241164230569231734-1164.3410594.8
20228768221565232140-10574.87203.34
21234072231735232470-735.8942337.39
22226116213306232837-19531.312810.3
23229704228937232983-4046.23767.227
242314202362532330943159.33-4832.83
252332082412532333147938.33-8044.83
26228768234148233646501.995-5380
27229704233732234308-576.116-4028.38
282234642361242350461078.27-12659.8
2924295224935523592913426.1-6403.11
3024910824752223699810524.71585.78
31243816236830237994-1164.346985.84
32234072228232238806-10574.85840.34
33244668239064239800-735.8945603.89
34233208221889241420-19531.311318.8
35243816239070243116-4046.234746.23
362429522474152442563159.33-4463.33
372456042525612446237938.33-6957.33
38235860245235244733501.995-9375
39246456244341244918-576.1162114.62
402456042460702449921078.27-466.273
4126150425838224495613426.13121.89
4225791625551624499210524.72399.78
43243816244009245174-1164.34-193.162
44236712234895245470-10574.81817.34
45246456244845245580-735.8941611.39
46233208226046245578-19531.37161.84
47242952241418245464-4046.231534.23
482446682480712449123159.33-3403.33
492482562522622443247938.33-4006.33
50240312244202243700501.995-3890.5
51244668242355242932-576.1162312.62
522473202426142415361078.274706.23
5325706425308523965813426.13979.39
5424910824874823822310524.7360.282
55238512236065237229-1164.342447.34
56227052225696236270-10574.81356.34
57237660234248234984-735.8943411.89
58208500213874233406-19531.3-5374.16
59222612227521231567-4046.23-4908.77
602305562327032295443159.33-2147.33
612385122353852274467938.333127.17
62227052225886225384501.9951165.5
63227052222671223248-576.1164380.62
642270522221142210361078.274938.23
6523320823243521900913426.1772.894
6622441222769321716810524.7-3280.72
67212868213981215145-1164.34-1112.66
68203208202362212936-10574.8846.338
69210216210099210835-735.894116.894
70182856189128208659-19531.3-6271.66
71199620202440206486-4046.23-2820.27
722093642076932045343159.331670.67
732111522105952026567938.33557.171
74201408201281200780501.995126.505
75202260198693199269-576.1163567.12
761996201989511978721078.27669.227
7720850020986719644013426.1-1366.61
7820226020571519519010524.7-3454.72
79189960192697193862-1164.34-2737.16
80181068181812192387-10574.8-744.162
81196104189628190364-735.8946475.89
82163452168407187938-19531.3-4955.16
83184656181574185620-4046.233082.23
841943161863861832273159.337929.67
851943161884801805427938.335836.17
86182856178062177560501.9954794
87172260173782174358-576.116-1521.88
881714081722701711921078.27-862.273
8918106818181916839213426.1-750.606
9017226017652316599810524.7-4263.22
91155508162811163975-1164.34-7302.66
92143964151634162208-10574.8-7669.66
93156360159706160442-735.894-3346.11
94127212139475159006-19531.3-12263.2
95153708153671157717-4046.2337.2269
961678081595871564283159.338221.17
971722601629261549887938.339333.67
98162516153612153110501.9958903.5
99150204150475151052-576.116-271.384
1001590121500311489531078.278980.73
10116251616042714700113426.12088.89
10215986415542814490410524.74435.78
103133356141606142770-1164.34-8249.66
104121056130061140636-10574.8-9005.16
105129852137617138352-735.894-7764.61
106103356116463135994-19531.3-13106.7
107130716129518133564-4046.231198.23
1081404601341121309523159.336348.17
1091484041360981281607938.3312305.7
110135156125901125400501.9959254.5
111122760122169122746-576.116590.616
1121298521211341200561078.278717.73
11313335613086711744113426.12488.89
11412634812594211541810524.7405.782
11599852NANA-1164.34NA
11688308NANA-10574.8NA
11798904NANA-735.894NA
11869756NANA-19531.3NA
119101556NANA-4046.23NA
120121056NANA3159.33NA



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')