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Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationSat, 02 Jan 2016 14:32:39 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2016/Jan/02/t1451745614m1dh7lj7aovm1wy.htm/, Retrieved Mon, 29 Apr 2024 06:51:01 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=287268, Retrieved Mon, 29 Apr 2024 06:51:01 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact141
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [] [2016-01-02 14:32:39] [1d0d2a0cfdb7bd945f85de3fbad0315e] [Current]
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Dataseries X:
173019
173690
172439
171914
171968
169500
173898
172308
171568
164939
161275
160770
162466
160185
154836
154103
150495
142707
149962
149967
144572
143819
141070
144119
145330
143279
139063
139202
133632
134476
141859
140693
138047
138346
140167
146796
152228
155410
159032
160312
157687
160141
167421
167628
164403
163405
163229
171154
173323
172381
168983
165380
161641
161933
172018
168455
164332
161193
157645
161694
163411
161834
159511
156359
154223
151497
160607
159672
155601
154668
153960
157307
165218
165616
162212
159787
157454
156485
165887
166836
163541
163973
164805
167521
174347
173374
172198
171055
168385
167281
177670
177280
174846
174476
174595
178392
185345
183293
181081
177795
173552
170734
179293
178659
175894
174815
173506
175376




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gertrude Mary Cox' @ cox.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 & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=287268&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=287268&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=287268&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'Gertrude Mary Cox' @ cox.wessa.net







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
1173019NANA4610.2NA
2173690NANA3762.02NA
3172439NANA1399.41NA
4171914NANA-289.929NA
5171968NANA-3770.57NA
6169500NANA-5387.22NA
71738981727741693343439.911123.79
81723081708471683322515.331460.8
9171568166215167036-820.8255353.12
10164939163152165560-2407.841786.72
11161275160467163923-3455.85807.554
12160770162318161912405.352-1547.56
131624661644091597984610.2-1942.7
141601851616321578703762.02-1447.32
151548361572141558151399.41-2378
16154103153520153810-289.929583.179
17150495148317152088-3770.572177.69
18142707145165150552-5387.22-2457.99
191499621525841491443439.91-2622.33
201499671502411477262515.33-274.326
21144572145544146364-820.825-971.55
22143819142678145086-2407.841140.55
23141070140307143763-3455.85763.054
24144119143123142717405.352996.44
251453301466471420374610.2-1316.83
261432791450751413133762.02-1795.61
271390631420541406541399.41-2990.71
28139202139864140154-289.929-662.446
29133632136118139889-3770.57-2486.14
30134476134575139963-5387.22-99.4041
311418591438011403623439.91-1942.5
321406931436701411542515.33-2976.78
33138047141671142492-820.825-3624.13
34138346141796144204-2407.84-3449.74
35140167142630146085-3455.85-2462.61
36146796148562148157405.352-1766.48
371522281549021502924610.2-2673.78
381554101562411524793762.02-830.982
391590321560991546991399.412933.17
40160312156552156842-289.9293760.22
41157687155076158847-3770.572610.82
42160141155435160823-5387.224705.64
431674211661561627163439.911264.63
441676281668181643032515.33810.132
45164403164603165424-820.825-200.467
46163405163642166050-2407.84-237.243
47163229162970166426-3455.85258.846
48171154167071166665405.3524083.23
491733231715421669324610.21781.17
501723811709201671583762.021461.35
511689831685891671891399.41394.461
52165380166804167094-289.929-1424.07
53161641162999166769-3770.57-1357.6
54161933160755166142-5387.221177.89
551720181687751653353439.913242.92
561684551669981644832515.331456.97
57164332162828163649-820.8251504.24
58161193160470162878-2407.84722.799
59157645158737162193-3455.85-1092.24
60161694161855161449405.352-160.519
611634111651491605394610.2-1738.08
621618341634591596973762.02-1625.48
631595111603671589681399.41-856.123
64156359158042158332-289.929-1683.11
65154223154136157907-3770.5786.9449
66151497152183157570-5387.22-686.071
671606071609031574633439.91-295.706
681596721602111576962515.33-538.993
69155601157145157966-820.825-1543.97
70154668155813158221-2407.84-1145.33
71153960155043158499-3455.85-1082.78
72157307159246158841405.352-1939.44
731652181638791592694610.21338.88
741656161635491597873762.022066.56
751622121618161604171399.41395.836
76159787160845161135-289.929-1058.36
77157454158204161975-3770.57-750.305
78156485157465162852-5387.22-980.112
791658871670981636583439.91-1211.21
801668361668771643622515.33-41.2426
81163541164280165101-820.825-739.425
82163973163579165987-2407.84394.007
83164805163456166912-3455.851349.05
84167521168222167817405.352-701.435
851743471733681687584610.2978.924
861733741734461696843762.02-72.0239
871721981719901705901399.41208.377
88171055171209171499-289.929-153.946
89168385168574172344-3770.57-188.847
90167281167818173205-5387.22-537.071
911776701775561741163439.91113.586
921772801775031749882515.33-223.368
93174846174951175771-820.825-104.633
94174476174015176422-2407.84461.424
95174595173463176919-3455.851132.3
96178392177683177278405.352708.94
971853451820991774894610.23245.59
981832931813761776143762.021916.68
991810811791151777151399.411966.17
100177795177483177773-289.929311.721
101173552173971177742-3770.57-419.388
102170734172184177571-5387.22-1449.7
103179293NANA3439.91NA
104178659NANA2515.33NA
105175894NANA-820.825NA
106174815NANA-2407.84NA
107173506NANA-3455.85NA
108175376NANA405.352NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 173019 & NA & NA & 4610.2 & NA \tabularnewline
2 & 173690 & NA & NA & 3762.02 & NA \tabularnewline
3 & 172439 & NA & NA & 1399.41 & NA \tabularnewline
4 & 171914 & NA & NA & -289.929 & NA \tabularnewline
5 & 171968 & NA & NA & -3770.57 & NA \tabularnewline
6 & 169500 & NA & NA & -5387.22 & NA \tabularnewline
7 & 173898 & 172774 & 169334 & 3439.91 & 1123.79 \tabularnewline
8 & 172308 & 170847 & 168332 & 2515.33 & 1460.8 \tabularnewline
9 & 171568 & 166215 & 167036 & -820.825 & 5353.12 \tabularnewline
10 & 164939 & 163152 & 165560 & -2407.84 & 1786.72 \tabularnewline
11 & 161275 & 160467 & 163923 & -3455.85 & 807.554 \tabularnewline
12 & 160770 & 162318 & 161912 & 405.352 & -1547.56 \tabularnewline
13 & 162466 & 164409 & 159798 & 4610.2 & -1942.7 \tabularnewline
14 & 160185 & 161632 & 157870 & 3762.02 & -1447.32 \tabularnewline
15 & 154836 & 157214 & 155815 & 1399.41 & -2378 \tabularnewline
16 & 154103 & 153520 & 153810 & -289.929 & 583.179 \tabularnewline
17 & 150495 & 148317 & 152088 & -3770.57 & 2177.69 \tabularnewline
18 & 142707 & 145165 & 150552 & -5387.22 & -2457.99 \tabularnewline
19 & 149962 & 152584 & 149144 & 3439.91 & -2622.33 \tabularnewline
20 & 149967 & 150241 & 147726 & 2515.33 & -274.326 \tabularnewline
21 & 144572 & 145544 & 146364 & -820.825 & -971.55 \tabularnewline
22 & 143819 & 142678 & 145086 & -2407.84 & 1140.55 \tabularnewline
23 & 141070 & 140307 & 143763 & -3455.85 & 763.054 \tabularnewline
24 & 144119 & 143123 & 142717 & 405.352 & 996.44 \tabularnewline
25 & 145330 & 146647 & 142037 & 4610.2 & -1316.83 \tabularnewline
26 & 143279 & 145075 & 141313 & 3762.02 & -1795.61 \tabularnewline
27 & 139063 & 142054 & 140654 & 1399.41 & -2990.71 \tabularnewline
28 & 139202 & 139864 & 140154 & -289.929 & -662.446 \tabularnewline
29 & 133632 & 136118 & 139889 & -3770.57 & -2486.14 \tabularnewline
30 & 134476 & 134575 & 139963 & -5387.22 & -99.4041 \tabularnewline
31 & 141859 & 143801 & 140362 & 3439.91 & -1942.5 \tabularnewline
32 & 140693 & 143670 & 141154 & 2515.33 & -2976.78 \tabularnewline
33 & 138047 & 141671 & 142492 & -820.825 & -3624.13 \tabularnewline
34 & 138346 & 141796 & 144204 & -2407.84 & -3449.74 \tabularnewline
35 & 140167 & 142630 & 146085 & -3455.85 & -2462.61 \tabularnewline
36 & 146796 & 148562 & 148157 & 405.352 & -1766.48 \tabularnewline
37 & 152228 & 154902 & 150292 & 4610.2 & -2673.78 \tabularnewline
38 & 155410 & 156241 & 152479 & 3762.02 & -830.982 \tabularnewline
39 & 159032 & 156099 & 154699 & 1399.41 & 2933.17 \tabularnewline
40 & 160312 & 156552 & 156842 & -289.929 & 3760.22 \tabularnewline
41 & 157687 & 155076 & 158847 & -3770.57 & 2610.82 \tabularnewline
42 & 160141 & 155435 & 160823 & -5387.22 & 4705.64 \tabularnewline
43 & 167421 & 166156 & 162716 & 3439.91 & 1264.63 \tabularnewline
44 & 167628 & 166818 & 164303 & 2515.33 & 810.132 \tabularnewline
45 & 164403 & 164603 & 165424 & -820.825 & -200.467 \tabularnewline
46 & 163405 & 163642 & 166050 & -2407.84 & -237.243 \tabularnewline
47 & 163229 & 162970 & 166426 & -3455.85 & 258.846 \tabularnewline
48 & 171154 & 167071 & 166665 & 405.352 & 4083.23 \tabularnewline
49 & 173323 & 171542 & 166932 & 4610.2 & 1781.17 \tabularnewline
50 & 172381 & 170920 & 167158 & 3762.02 & 1461.35 \tabularnewline
51 & 168983 & 168589 & 167189 & 1399.41 & 394.461 \tabularnewline
52 & 165380 & 166804 & 167094 & -289.929 & -1424.07 \tabularnewline
53 & 161641 & 162999 & 166769 & -3770.57 & -1357.6 \tabularnewline
54 & 161933 & 160755 & 166142 & -5387.22 & 1177.89 \tabularnewline
55 & 172018 & 168775 & 165335 & 3439.91 & 3242.92 \tabularnewline
56 & 168455 & 166998 & 164483 & 2515.33 & 1456.97 \tabularnewline
57 & 164332 & 162828 & 163649 & -820.825 & 1504.24 \tabularnewline
58 & 161193 & 160470 & 162878 & -2407.84 & 722.799 \tabularnewline
59 & 157645 & 158737 & 162193 & -3455.85 & -1092.24 \tabularnewline
60 & 161694 & 161855 & 161449 & 405.352 & -160.519 \tabularnewline
61 & 163411 & 165149 & 160539 & 4610.2 & -1738.08 \tabularnewline
62 & 161834 & 163459 & 159697 & 3762.02 & -1625.48 \tabularnewline
63 & 159511 & 160367 & 158968 & 1399.41 & -856.123 \tabularnewline
64 & 156359 & 158042 & 158332 & -289.929 & -1683.11 \tabularnewline
65 & 154223 & 154136 & 157907 & -3770.57 & 86.9449 \tabularnewline
66 & 151497 & 152183 & 157570 & -5387.22 & -686.071 \tabularnewline
67 & 160607 & 160903 & 157463 & 3439.91 & -295.706 \tabularnewline
68 & 159672 & 160211 & 157696 & 2515.33 & -538.993 \tabularnewline
69 & 155601 & 157145 & 157966 & -820.825 & -1543.97 \tabularnewline
70 & 154668 & 155813 & 158221 & -2407.84 & -1145.33 \tabularnewline
71 & 153960 & 155043 & 158499 & -3455.85 & -1082.78 \tabularnewline
72 & 157307 & 159246 & 158841 & 405.352 & -1939.44 \tabularnewline
73 & 165218 & 163879 & 159269 & 4610.2 & 1338.88 \tabularnewline
74 & 165616 & 163549 & 159787 & 3762.02 & 2066.56 \tabularnewline
75 & 162212 & 161816 & 160417 & 1399.41 & 395.836 \tabularnewline
76 & 159787 & 160845 & 161135 & -289.929 & -1058.36 \tabularnewline
77 & 157454 & 158204 & 161975 & -3770.57 & -750.305 \tabularnewline
78 & 156485 & 157465 & 162852 & -5387.22 & -980.112 \tabularnewline
79 & 165887 & 167098 & 163658 & 3439.91 & -1211.21 \tabularnewline
80 & 166836 & 166877 & 164362 & 2515.33 & -41.2426 \tabularnewline
81 & 163541 & 164280 & 165101 & -820.825 & -739.425 \tabularnewline
82 & 163973 & 163579 & 165987 & -2407.84 & 394.007 \tabularnewline
83 & 164805 & 163456 & 166912 & -3455.85 & 1349.05 \tabularnewline
84 & 167521 & 168222 & 167817 & 405.352 & -701.435 \tabularnewline
85 & 174347 & 173368 & 168758 & 4610.2 & 978.924 \tabularnewline
86 & 173374 & 173446 & 169684 & 3762.02 & -72.0239 \tabularnewline
87 & 172198 & 171990 & 170590 & 1399.41 & 208.377 \tabularnewline
88 & 171055 & 171209 & 171499 & -289.929 & -153.946 \tabularnewline
89 & 168385 & 168574 & 172344 & -3770.57 & -188.847 \tabularnewline
90 & 167281 & 167818 & 173205 & -5387.22 & -537.071 \tabularnewline
91 & 177670 & 177556 & 174116 & 3439.91 & 113.586 \tabularnewline
92 & 177280 & 177503 & 174988 & 2515.33 & -223.368 \tabularnewline
93 & 174846 & 174951 & 175771 & -820.825 & -104.633 \tabularnewline
94 & 174476 & 174015 & 176422 & -2407.84 & 461.424 \tabularnewline
95 & 174595 & 173463 & 176919 & -3455.85 & 1132.3 \tabularnewline
96 & 178392 & 177683 & 177278 & 405.352 & 708.94 \tabularnewline
97 & 185345 & 182099 & 177489 & 4610.2 & 3245.59 \tabularnewline
98 & 183293 & 181376 & 177614 & 3762.02 & 1916.68 \tabularnewline
99 & 181081 & 179115 & 177715 & 1399.41 & 1966.17 \tabularnewline
100 & 177795 & 177483 & 177773 & -289.929 & 311.721 \tabularnewline
101 & 173552 & 173971 & 177742 & -3770.57 & -419.388 \tabularnewline
102 & 170734 & 172184 & 177571 & -5387.22 & -1449.7 \tabularnewline
103 & 179293 & NA & NA & 3439.91 & NA \tabularnewline
104 & 178659 & NA & NA & 2515.33 & NA \tabularnewline
105 & 175894 & NA & NA & -820.825 & NA \tabularnewline
106 & 174815 & NA & NA & -2407.84 & NA \tabularnewline
107 & 173506 & NA & NA & -3455.85 & NA \tabularnewline
108 & 175376 & NA & NA & 405.352 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=287268&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]173019[/C][C]NA[/C][C]NA[/C][C]4610.2[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]173690[/C][C]NA[/C][C]NA[/C][C]3762.02[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]172439[/C][C]NA[/C][C]NA[/C][C]1399.41[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]171914[/C][C]NA[/C][C]NA[/C][C]-289.929[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]171968[/C][C]NA[/C][C]NA[/C][C]-3770.57[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]169500[/C][C]NA[/C][C]NA[/C][C]-5387.22[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]173898[/C][C]172774[/C][C]169334[/C][C]3439.91[/C][C]1123.79[/C][/ROW]
[ROW][C]8[/C][C]172308[/C][C]170847[/C][C]168332[/C][C]2515.33[/C][C]1460.8[/C][/ROW]
[ROW][C]9[/C][C]171568[/C][C]166215[/C][C]167036[/C][C]-820.825[/C][C]5353.12[/C][/ROW]
[ROW][C]10[/C][C]164939[/C][C]163152[/C][C]165560[/C][C]-2407.84[/C][C]1786.72[/C][/ROW]
[ROW][C]11[/C][C]161275[/C][C]160467[/C][C]163923[/C][C]-3455.85[/C][C]807.554[/C][/ROW]
[ROW][C]12[/C][C]160770[/C][C]162318[/C][C]161912[/C][C]405.352[/C][C]-1547.56[/C][/ROW]
[ROW][C]13[/C][C]162466[/C][C]164409[/C][C]159798[/C][C]4610.2[/C][C]-1942.7[/C][/ROW]
[ROW][C]14[/C][C]160185[/C][C]161632[/C][C]157870[/C][C]3762.02[/C][C]-1447.32[/C][/ROW]
[ROW][C]15[/C][C]154836[/C][C]157214[/C][C]155815[/C][C]1399.41[/C][C]-2378[/C][/ROW]
[ROW][C]16[/C][C]154103[/C][C]153520[/C][C]153810[/C][C]-289.929[/C][C]583.179[/C][/ROW]
[ROW][C]17[/C][C]150495[/C][C]148317[/C][C]152088[/C][C]-3770.57[/C][C]2177.69[/C][/ROW]
[ROW][C]18[/C][C]142707[/C][C]145165[/C][C]150552[/C][C]-5387.22[/C][C]-2457.99[/C][/ROW]
[ROW][C]19[/C][C]149962[/C][C]152584[/C][C]149144[/C][C]3439.91[/C][C]-2622.33[/C][/ROW]
[ROW][C]20[/C][C]149967[/C][C]150241[/C][C]147726[/C][C]2515.33[/C][C]-274.326[/C][/ROW]
[ROW][C]21[/C][C]144572[/C][C]145544[/C][C]146364[/C][C]-820.825[/C][C]-971.55[/C][/ROW]
[ROW][C]22[/C][C]143819[/C][C]142678[/C][C]145086[/C][C]-2407.84[/C][C]1140.55[/C][/ROW]
[ROW][C]23[/C][C]141070[/C][C]140307[/C][C]143763[/C][C]-3455.85[/C][C]763.054[/C][/ROW]
[ROW][C]24[/C][C]144119[/C][C]143123[/C][C]142717[/C][C]405.352[/C][C]996.44[/C][/ROW]
[ROW][C]25[/C][C]145330[/C][C]146647[/C][C]142037[/C][C]4610.2[/C][C]-1316.83[/C][/ROW]
[ROW][C]26[/C][C]143279[/C][C]145075[/C][C]141313[/C][C]3762.02[/C][C]-1795.61[/C][/ROW]
[ROW][C]27[/C][C]139063[/C][C]142054[/C][C]140654[/C][C]1399.41[/C][C]-2990.71[/C][/ROW]
[ROW][C]28[/C][C]139202[/C][C]139864[/C][C]140154[/C][C]-289.929[/C][C]-662.446[/C][/ROW]
[ROW][C]29[/C][C]133632[/C][C]136118[/C][C]139889[/C][C]-3770.57[/C][C]-2486.14[/C][/ROW]
[ROW][C]30[/C][C]134476[/C][C]134575[/C][C]139963[/C][C]-5387.22[/C][C]-99.4041[/C][/ROW]
[ROW][C]31[/C][C]141859[/C][C]143801[/C][C]140362[/C][C]3439.91[/C][C]-1942.5[/C][/ROW]
[ROW][C]32[/C][C]140693[/C][C]143670[/C][C]141154[/C][C]2515.33[/C][C]-2976.78[/C][/ROW]
[ROW][C]33[/C][C]138047[/C][C]141671[/C][C]142492[/C][C]-820.825[/C][C]-3624.13[/C][/ROW]
[ROW][C]34[/C][C]138346[/C][C]141796[/C][C]144204[/C][C]-2407.84[/C][C]-3449.74[/C][/ROW]
[ROW][C]35[/C][C]140167[/C][C]142630[/C][C]146085[/C][C]-3455.85[/C][C]-2462.61[/C][/ROW]
[ROW][C]36[/C][C]146796[/C][C]148562[/C][C]148157[/C][C]405.352[/C][C]-1766.48[/C][/ROW]
[ROW][C]37[/C][C]152228[/C][C]154902[/C][C]150292[/C][C]4610.2[/C][C]-2673.78[/C][/ROW]
[ROW][C]38[/C][C]155410[/C][C]156241[/C][C]152479[/C][C]3762.02[/C][C]-830.982[/C][/ROW]
[ROW][C]39[/C][C]159032[/C][C]156099[/C][C]154699[/C][C]1399.41[/C][C]2933.17[/C][/ROW]
[ROW][C]40[/C][C]160312[/C][C]156552[/C][C]156842[/C][C]-289.929[/C][C]3760.22[/C][/ROW]
[ROW][C]41[/C][C]157687[/C][C]155076[/C][C]158847[/C][C]-3770.57[/C][C]2610.82[/C][/ROW]
[ROW][C]42[/C][C]160141[/C][C]155435[/C][C]160823[/C][C]-5387.22[/C][C]4705.64[/C][/ROW]
[ROW][C]43[/C][C]167421[/C][C]166156[/C][C]162716[/C][C]3439.91[/C][C]1264.63[/C][/ROW]
[ROW][C]44[/C][C]167628[/C][C]166818[/C][C]164303[/C][C]2515.33[/C][C]810.132[/C][/ROW]
[ROW][C]45[/C][C]164403[/C][C]164603[/C][C]165424[/C][C]-820.825[/C][C]-200.467[/C][/ROW]
[ROW][C]46[/C][C]163405[/C][C]163642[/C][C]166050[/C][C]-2407.84[/C][C]-237.243[/C][/ROW]
[ROW][C]47[/C][C]163229[/C][C]162970[/C][C]166426[/C][C]-3455.85[/C][C]258.846[/C][/ROW]
[ROW][C]48[/C][C]171154[/C][C]167071[/C][C]166665[/C][C]405.352[/C][C]4083.23[/C][/ROW]
[ROW][C]49[/C][C]173323[/C][C]171542[/C][C]166932[/C][C]4610.2[/C][C]1781.17[/C][/ROW]
[ROW][C]50[/C][C]172381[/C][C]170920[/C][C]167158[/C][C]3762.02[/C][C]1461.35[/C][/ROW]
[ROW][C]51[/C][C]168983[/C][C]168589[/C][C]167189[/C][C]1399.41[/C][C]394.461[/C][/ROW]
[ROW][C]52[/C][C]165380[/C][C]166804[/C][C]167094[/C][C]-289.929[/C][C]-1424.07[/C][/ROW]
[ROW][C]53[/C][C]161641[/C][C]162999[/C][C]166769[/C][C]-3770.57[/C][C]-1357.6[/C][/ROW]
[ROW][C]54[/C][C]161933[/C][C]160755[/C][C]166142[/C][C]-5387.22[/C][C]1177.89[/C][/ROW]
[ROW][C]55[/C][C]172018[/C][C]168775[/C][C]165335[/C][C]3439.91[/C][C]3242.92[/C][/ROW]
[ROW][C]56[/C][C]168455[/C][C]166998[/C][C]164483[/C][C]2515.33[/C][C]1456.97[/C][/ROW]
[ROW][C]57[/C][C]164332[/C][C]162828[/C][C]163649[/C][C]-820.825[/C][C]1504.24[/C][/ROW]
[ROW][C]58[/C][C]161193[/C][C]160470[/C][C]162878[/C][C]-2407.84[/C][C]722.799[/C][/ROW]
[ROW][C]59[/C][C]157645[/C][C]158737[/C][C]162193[/C][C]-3455.85[/C][C]-1092.24[/C][/ROW]
[ROW][C]60[/C][C]161694[/C][C]161855[/C][C]161449[/C][C]405.352[/C][C]-160.519[/C][/ROW]
[ROW][C]61[/C][C]163411[/C][C]165149[/C][C]160539[/C][C]4610.2[/C][C]-1738.08[/C][/ROW]
[ROW][C]62[/C][C]161834[/C][C]163459[/C][C]159697[/C][C]3762.02[/C][C]-1625.48[/C][/ROW]
[ROW][C]63[/C][C]159511[/C][C]160367[/C][C]158968[/C][C]1399.41[/C][C]-856.123[/C][/ROW]
[ROW][C]64[/C][C]156359[/C][C]158042[/C][C]158332[/C][C]-289.929[/C][C]-1683.11[/C][/ROW]
[ROW][C]65[/C][C]154223[/C][C]154136[/C][C]157907[/C][C]-3770.57[/C][C]86.9449[/C][/ROW]
[ROW][C]66[/C][C]151497[/C][C]152183[/C][C]157570[/C][C]-5387.22[/C][C]-686.071[/C][/ROW]
[ROW][C]67[/C][C]160607[/C][C]160903[/C][C]157463[/C][C]3439.91[/C][C]-295.706[/C][/ROW]
[ROW][C]68[/C][C]159672[/C][C]160211[/C][C]157696[/C][C]2515.33[/C][C]-538.993[/C][/ROW]
[ROW][C]69[/C][C]155601[/C][C]157145[/C][C]157966[/C][C]-820.825[/C][C]-1543.97[/C][/ROW]
[ROW][C]70[/C][C]154668[/C][C]155813[/C][C]158221[/C][C]-2407.84[/C][C]-1145.33[/C][/ROW]
[ROW][C]71[/C][C]153960[/C][C]155043[/C][C]158499[/C][C]-3455.85[/C][C]-1082.78[/C][/ROW]
[ROW][C]72[/C][C]157307[/C][C]159246[/C][C]158841[/C][C]405.352[/C][C]-1939.44[/C][/ROW]
[ROW][C]73[/C][C]165218[/C][C]163879[/C][C]159269[/C][C]4610.2[/C][C]1338.88[/C][/ROW]
[ROW][C]74[/C][C]165616[/C][C]163549[/C][C]159787[/C][C]3762.02[/C][C]2066.56[/C][/ROW]
[ROW][C]75[/C][C]162212[/C][C]161816[/C][C]160417[/C][C]1399.41[/C][C]395.836[/C][/ROW]
[ROW][C]76[/C][C]159787[/C][C]160845[/C][C]161135[/C][C]-289.929[/C][C]-1058.36[/C][/ROW]
[ROW][C]77[/C][C]157454[/C][C]158204[/C][C]161975[/C][C]-3770.57[/C][C]-750.305[/C][/ROW]
[ROW][C]78[/C][C]156485[/C][C]157465[/C][C]162852[/C][C]-5387.22[/C][C]-980.112[/C][/ROW]
[ROW][C]79[/C][C]165887[/C][C]167098[/C][C]163658[/C][C]3439.91[/C][C]-1211.21[/C][/ROW]
[ROW][C]80[/C][C]166836[/C][C]166877[/C][C]164362[/C][C]2515.33[/C][C]-41.2426[/C][/ROW]
[ROW][C]81[/C][C]163541[/C][C]164280[/C][C]165101[/C][C]-820.825[/C][C]-739.425[/C][/ROW]
[ROW][C]82[/C][C]163973[/C][C]163579[/C][C]165987[/C][C]-2407.84[/C][C]394.007[/C][/ROW]
[ROW][C]83[/C][C]164805[/C][C]163456[/C][C]166912[/C][C]-3455.85[/C][C]1349.05[/C][/ROW]
[ROW][C]84[/C][C]167521[/C][C]168222[/C][C]167817[/C][C]405.352[/C][C]-701.435[/C][/ROW]
[ROW][C]85[/C][C]174347[/C][C]173368[/C][C]168758[/C][C]4610.2[/C][C]978.924[/C][/ROW]
[ROW][C]86[/C][C]173374[/C][C]173446[/C][C]169684[/C][C]3762.02[/C][C]-72.0239[/C][/ROW]
[ROW][C]87[/C][C]172198[/C][C]171990[/C][C]170590[/C][C]1399.41[/C][C]208.377[/C][/ROW]
[ROW][C]88[/C][C]171055[/C][C]171209[/C][C]171499[/C][C]-289.929[/C][C]-153.946[/C][/ROW]
[ROW][C]89[/C][C]168385[/C][C]168574[/C][C]172344[/C][C]-3770.57[/C][C]-188.847[/C][/ROW]
[ROW][C]90[/C][C]167281[/C][C]167818[/C][C]173205[/C][C]-5387.22[/C][C]-537.071[/C][/ROW]
[ROW][C]91[/C][C]177670[/C][C]177556[/C][C]174116[/C][C]3439.91[/C][C]113.586[/C][/ROW]
[ROW][C]92[/C][C]177280[/C][C]177503[/C][C]174988[/C][C]2515.33[/C][C]-223.368[/C][/ROW]
[ROW][C]93[/C][C]174846[/C][C]174951[/C][C]175771[/C][C]-820.825[/C][C]-104.633[/C][/ROW]
[ROW][C]94[/C][C]174476[/C][C]174015[/C][C]176422[/C][C]-2407.84[/C][C]461.424[/C][/ROW]
[ROW][C]95[/C][C]174595[/C][C]173463[/C][C]176919[/C][C]-3455.85[/C][C]1132.3[/C][/ROW]
[ROW][C]96[/C][C]178392[/C][C]177683[/C][C]177278[/C][C]405.352[/C][C]708.94[/C][/ROW]
[ROW][C]97[/C][C]185345[/C][C]182099[/C][C]177489[/C][C]4610.2[/C][C]3245.59[/C][/ROW]
[ROW][C]98[/C][C]183293[/C][C]181376[/C][C]177614[/C][C]3762.02[/C][C]1916.68[/C][/ROW]
[ROW][C]99[/C][C]181081[/C][C]179115[/C][C]177715[/C][C]1399.41[/C][C]1966.17[/C][/ROW]
[ROW][C]100[/C][C]177795[/C][C]177483[/C][C]177773[/C][C]-289.929[/C][C]311.721[/C][/ROW]
[ROW][C]101[/C][C]173552[/C][C]173971[/C][C]177742[/C][C]-3770.57[/C][C]-419.388[/C][/ROW]
[ROW][C]102[/C][C]170734[/C][C]172184[/C][C]177571[/C][C]-5387.22[/C][C]-1449.7[/C][/ROW]
[ROW][C]103[/C][C]179293[/C][C]NA[/C][C]NA[/C][C]3439.91[/C][C]NA[/C][/ROW]
[ROW][C]104[/C][C]178659[/C][C]NA[/C][C]NA[/C][C]2515.33[/C][C]NA[/C][/ROW]
[ROW][C]105[/C][C]175894[/C][C]NA[/C][C]NA[/C][C]-820.825[/C][C]NA[/C][/ROW]
[ROW][C]106[/C][C]174815[/C][C]NA[/C][C]NA[/C][C]-2407.84[/C][C]NA[/C][/ROW]
[ROW][C]107[/C][C]173506[/C][C]NA[/C][C]NA[/C][C]-3455.85[/C][C]NA[/C][/ROW]
[ROW][C]108[/C][C]175376[/C][C]NA[/C][C]NA[/C][C]405.352[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=287268&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=287268&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
1173019NANA4610.2NA
2173690NANA3762.02NA
3172439NANA1399.41NA
4171914NANA-289.929NA
5171968NANA-3770.57NA
6169500NANA-5387.22NA
71738981727741693343439.911123.79
81723081708471683322515.331460.8
9171568166215167036-820.8255353.12
10164939163152165560-2407.841786.72
11161275160467163923-3455.85807.554
12160770162318161912405.352-1547.56
131624661644091597984610.2-1942.7
141601851616321578703762.02-1447.32
151548361572141558151399.41-2378
16154103153520153810-289.929583.179
17150495148317152088-3770.572177.69
18142707145165150552-5387.22-2457.99
191499621525841491443439.91-2622.33
201499671502411477262515.33-274.326
21144572145544146364-820.825-971.55
22143819142678145086-2407.841140.55
23141070140307143763-3455.85763.054
24144119143123142717405.352996.44
251453301466471420374610.2-1316.83
261432791450751413133762.02-1795.61
271390631420541406541399.41-2990.71
28139202139864140154-289.929-662.446
29133632136118139889-3770.57-2486.14
30134476134575139963-5387.22-99.4041
311418591438011403623439.91-1942.5
321406931436701411542515.33-2976.78
33138047141671142492-820.825-3624.13
34138346141796144204-2407.84-3449.74
35140167142630146085-3455.85-2462.61
36146796148562148157405.352-1766.48
371522281549021502924610.2-2673.78
381554101562411524793762.02-830.982
391590321560991546991399.412933.17
40160312156552156842-289.9293760.22
41157687155076158847-3770.572610.82
42160141155435160823-5387.224705.64
431674211661561627163439.911264.63
441676281668181643032515.33810.132
45164403164603165424-820.825-200.467
46163405163642166050-2407.84-237.243
47163229162970166426-3455.85258.846
48171154167071166665405.3524083.23
491733231715421669324610.21781.17
501723811709201671583762.021461.35
511689831685891671891399.41394.461
52165380166804167094-289.929-1424.07
53161641162999166769-3770.57-1357.6
54161933160755166142-5387.221177.89
551720181687751653353439.913242.92
561684551669981644832515.331456.97
57164332162828163649-820.8251504.24
58161193160470162878-2407.84722.799
59157645158737162193-3455.85-1092.24
60161694161855161449405.352-160.519
611634111651491605394610.2-1738.08
621618341634591596973762.02-1625.48
631595111603671589681399.41-856.123
64156359158042158332-289.929-1683.11
65154223154136157907-3770.5786.9449
66151497152183157570-5387.22-686.071
671606071609031574633439.91-295.706
681596721602111576962515.33-538.993
69155601157145157966-820.825-1543.97
70154668155813158221-2407.84-1145.33
71153960155043158499-3455.85-1082.78
72157307159246158841405.352-1939.44
731652181638791592694610.21338.88
741656161635491597873762.022066.56
751622121618161604171399.41395.836
76159787160845161135-289.929-1058.36
77157454158204161975-3770.57-750.305
78156485157465162852-5387.22-980.112
791658871670981636583439.91-1211.21
801668361668771643622515.33-41.2426
81163541164280165101-820.825-739.425
82163973163579165987-2407.84394.007
83164805163456166912-3455.851349.05
84167521168222167817405.352-701.435
851743471733681687584610.2978.924
861733741734461696843762.02-72.0239
871721981719901705901399.41208.377
88171055171209171499-289.929-153.946
89168385168574172344-3770.57-188.847
90167281167818173205-5387.22-537.071
911776701775561741163439.91113.586
921772801775031749882515.33-223.368
93174846174951175771-820.825-104.633
94174476174015176422-2407.84461.424
95174595173463176919-3455.851132.3
96178392177683177278405.352708.94
971853451820991774894610.23245.59
981832931813761776143762.021916.68
991810811791151777151399.411966.17
100177795177483177773-289.929311.721
101173552173971177742-3770.57-419.388
102170734172184177571-5387.22-1449.7
103179293NANA3439.91NA
104178659NANA2515.33NA
105175894NANA-820.825NA
106174815NANA-2407.84NA
107173506NANA-3455.85NA
108175376NANA405.352NA



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')