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Author's title

Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationWed, 03 Jun 2009 02:02:43 -0600
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/Jun/03/t12440161998npvp8p2jcw2s0n.htm/, Retrieved Sat, 11 May 2024 08:51:01 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=41411, Retrieved Sat, 11 May 2024 08:51:01 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact155
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [classical decompo...] [2009-06-03 08:02:43] [8c726525c89fb87c09aaacaddee1db18] [Current]
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Dataseries X:
104.9
110.9
104.8
94.1
95.8
99.3
101.1
104.0
99.0
105.4
107.1
110.7
117.1
118.7
126.5
127.5
134.6
131.8
135.9
142.7
141.7
153.4
145.0
137.7
148.3
152.2
169.4
168.6
161.1
174.1
179.0
190.6
190.0
181.6
174.8
180.5
196.8
193.8
197.0
216.3
221.4
217.9
229.7
227.4
204.2
196.6
198.8
207.5
190.7
201.6
210.5
223.5
223.8
231.2
244.0
234.7
250.2
265.7
287.6
283.3
295.4
312.3
333.8
347.7
383.2
407.1
413.6
362.7
321.9
239.4
191.0
159.7
166.7




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'George Udny Yule' @ 72.249.76.132

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 3 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=41411&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=41411&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=41411&T=0

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'George Udny Yule' @ 72.249.76.132







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
1104.9NANA0.955656206640385NA
2110.9NANA0.95949601360411NA
3104.8NANA0.998464941325473NA
494.1NANA1.02127621594823NA
595.8NANA1.03721996947NA
699.3NANA1.05719797800196NA
7101.1112.763815369265103.61.088453816305640.896564200749421
8104105.871224393949104.4333333333331.013768506804490.982325467522823
999104.568410338976105.66250.9896454308669170.94674863736644
10105.4105.011318643603107.9583333333330.9727022954251131.00370132821316
11107.1106.791801532138110.9666666666670.9623773042848171.00288597498534
12110.7107.527526798223113.93750.9437413213228591.02950382377649
13117.1111.564898323543116.7416666666670.9556562066403851.04961329019819
14118.7114.951620329829119.8041666666670.959496013604111.03260832391415
15126.5123.006720500709123.1958333333330.9984649413254731.02839909465979
16127.5129.676547520026126.9751.021276215948230.983215565484653
17134.6135.413388764181130.5541666666671.037219969470.99399329141967
18131.8140.880440551911133.2583333333331.057197978001960.935545058516727
19135.9147.685041975737135.6833333333331.088453816305640.920201519273201
20142.7140.284441164517138.3791666666671.013768506804491.01721900743540
21141.7140.096681307098141.56250.9896454308669171.01144437311393
22153.4141.102626730106145.06250.9727022954251131.08715197976730
23145142.315553776552147.8791666666670.9623773042848171.01886263414091
24137.7142.265071933915150.7458333333330.9437413213228590.96791150581194
25148.3147.461734585472154.3041666666670.9556562066403851.00568463009664
26152.2151.692321850753158.0958333333330.959496013604111.00334676233479
27169.4161.855327259448162.1041666666670.9984649413254731.04661368191149
28168.6168.808447861109165.2916666666671.021276215948230.998765181104677
29161.1173.950432379865167.7083333333331.037219969470.926125895727569
30174.1180.498934777535170.7333333333331.057197978001960.964548628580987
31179189.976007963446174.53751.088453816305640.94222424146549
32190.6180.746476692351178.2916666666671.013768506804491.05451571443033
33190179.299010937314181.1750.9896454308669171.05968236526652
34181.6179.281191825541184.31250.9727022954251131.01293391766781
35174.8181.708864765277188.81250.9623773042848170.961978383530151
36180.5182.28363621351193.150.9437413213228590.990215050288875
37196.8188.347892626237197.08750.9556562066403851.04487497712829
38193.8192.602833130798200.7333333333330.959496013604111.00621572824107
39197202.54693388905202.8583333333330.9984649413254730.972614081178398
40216.3208.416943769634204.0751.021276215948231.03782349020087
41221.4213.356147719979205.71.037219969471.03770152566955
42217.9219.712169778257207.8251.057197978001960.991752073724062
43229.7227.155776238753208.6958333333331.088453816305641.01120034807555
44227.4211.641071937218208.7666666666671.013768506804491.07446063242137
45204.2207.483288103878209.6541666666670.9896454308669170.9841756503192
46196.6204.77004489191210.5166666666670.9727022954251130.960101366895618
47198.8202.981413095406210.9166666666670.9623773042848170.97940001977698
48207.5199.668137803378211.5708333333330.9437413213228591.03922439645495
49190.7203.287984656715212.7208333333330.9556562066403850.938078068519536
50201.6204.968338006121213.6208333333330.959496013604110.98356654477034
51210.5215.510337043926215.8416666666670.9984649413254730.976751291317853
52223.5225.331831096277220.63751.021276215948230.99187051786086
53223.8235.673664063075227.2166666666671.037219969470.94961819722081
54231.2247.463616700809234.0751.057197978001960.934278756135404
55244262.965906795209241.5958333333331.088453816305640.927876936495882
56234.7254.020819557091250.5708333333331.013768506804490.923940015661792
57250.2257.625323267801260.3208333333330.9896454308669170.971177820667563
58265.7263.245664551883270.6333333333330.9727022954251131.00932336512472
59287.6271.823469595246282.450.9623773042848171.05803961824284
60283.3279.744588917623296.4208333333330.9437413213228591.01270949009643
61295.4297.033876627276310.8166666666670.9556562066403850.994499359312723
62312.3310.125103197075323.2166666666670.959496013604111.00701296599503
63333.8331.028570484694331.53750.9984649413254731.00837217618784
64347.7340.523277620104333.4291666666671.021276215948231.02107557060432
65383.2340.527959476747328.3083333333331.037219969471.12531141521778
66407.1337.387114713025319.1333333333331.057197978001961.20662580829819
67413.6335.919523833095308.6208333333331.088453816305641.23124727994525
68362.7NANA1.01376850680449NA
69321.9NANA0.989645430866917NA
70239.4NANA0.972702295425113NA
71191NANA0.962377304284817NA
72159.7NANA0.943741321322859NA
73166.7NANANANA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 104.9 & NA & NA & 0.955656206640385 & NA \tabularnewline
2 & 110.9 & NA & NA & 0.95949601360411 & NA \tabularnewline
3 & 104.8 & NA & NA & 0.998464941325473 & NA \tabularnewline
4 & 94.1 & NA & NA & 1.02127621594823 & NA \tabularnewline
5 & 95.8 & NA & NA & 1.03721996947 & NA \tabularnewline
6 & 99.3 & NA & NA & 1.05719797800196 & NA \tabularnewline
7 & 101.1 & 112.763815369265 & 103.6 & 1.08845381630564 & 0.896564200749421 \tabularnewline
8 & 104 & 105.871224393949 & 104.433333333333 & 1.01376850680449 & 0.982325467522823 \tabularnewline
9 & 99 & 104.568410338976 & 105.6625 & 0.989645430866917 & 0.94674863736644 \tabularnewline
10 & 105.4 & 105.011318643603 & 107.958333333333 & 0.972702295425113 & 1.00370132821316 \tabularnewline
11 & 107.1 & 106.791801532138 & 110.966666666667 & 0.962377304284817 & 1.00288597498534 \tabularnewline
12 & 110.7 & 107.527526798223 & 113.9375 & 0.943741321322859 & 1.02950382377649 \tabularnewline
13 & 117.1 & 111.564898323543 & 116.741666666667 & 0.955656206640385 & 1.04961329019819 \tabularnewline
14 & 118.7 & 114.951620329829 & 119.804166666667 & 0.95949601360411 & 1.03260832391415 \tabularnewline
15 & 126.5 & 123.006720500709 & 123.195833333333 & 0.998464941325473 & 1.02839909465979 \tabularnewline
16 & 127.5 & 129.676547520026 & 126.975 & 1.02127621594823 & 0.983215565484653 \tabularnewline
17 & 134.6 & 135.413388764181 & 130.554166666667 & 1.03721996947 & 0.99399329141967 \tabularnewline
18 & 131.8 & 140.880440551911 & 133.258333333333 & 1.05719797800196 & 0.935545058516727 \tabularnewline
19 & 135.9 & 147.685041975737 & 135.683333333333 & 1.08845381630564 & 0.920201519273201 \tabularnewline
20 & 142.7 & 140.284441164517 & 138.379166666667 & 1.01376850680449 & 1.01721900743540 \tabularnewline
21 & 141.7 & 140.096681307098 & 141.5625 & 0.989645430866917 & 1.01144437311393 \tabularnewline
22 & 153.4 & 141.102626730106 & 145.0625 & 0.972702295425113 & 1.08715197976730 \tabularnewline
23 & 145 & 142.315553776552 & 147.879166666667 & 0.962377304284817 & 1.01886263414091 \tabularnewline
24 & 137.7 & 142.265071933915 & 150.745833333333 & 0.943741321322859 & 0.96791150581194 \tabularnewline
25 & 148.3 & 147.461734585472 & 154.304166666667 & 0.955656206640385 & 1.00568463009664 \tabularnewline
26 & 152.2 & 151.692321850753 & 158.095833333333 & 0.95949601360411 & 1.00334676233479 \tabularnewline
27 & 169.4 & 161.855327259448 & 162.104166666667 & 0.998464941325473 & 1.04661368191149 \tabularnewline
28 & 168.6 & 168.808447861109 & 165.291666666667 & 1.02127621594823 & 0.998765181104677 \tabularnewline
29 & 161.1 & 173.950432379865 & 167.708333333333 & 1.03721996947 & 0.926125895727569 \tabularnewline
30 & 174.1 & 180.498934777535 & 170.733333333333 & 1.05719797800196 & 0.964548628580987 \tabularnewline
31 & 179 & 189.976007963446 & 174.5375 & 1.08845381630564 & 0.94222424146549 \tabularnewline
32 & 190.6 & 180.746476692351 & 178.291666666667 & 1.01376850680449 & 1.05451571443033 \tabularnewline
33 & 190 & 179.299010937314 & 181.175 & 0.989645430866917 & 1.05968236526652 \tabularnewline
34 & 181.6 & 179.281191825541 & 184.3125 & 0.972702295425113 & 1.01293391766781 \tabularnewline
35 & 174.8 & 181.708864765277 & 188.8125 & 0.962377304284817 & 0.961978383530151 \tabularnewline
36 & 180.5 & 182.28363621351 & 193.15 & 0.943741321322859 & 0.990215050288875 \tabularnewline
37 & 196.8 & 188.347892626237 & 197.0875 & 0.955656206640385 & 1.04487497712829 \tabularnewline
38 & 193.8 & 192.602833130798 & 200.733333333333 & 0.95949601360411 & 1.00621572824107 \tabularnewline
39 & 197 & 202.54693388905 & 202.858333333333 & 0.998464941325473 & 0.972614081178398 \tabularnewline
40 & 216.3 & 208.416943769634 & 204.075 & 1.02127621594823 & 1.03782349020087 \tabularnewline
41 & 221.4 & 213.356147719979 & 205.7 & 1.03721996947 & 1.03770152566955 \tabularnewline
42 & 217.9 & 219.712169778257 & 207.825 & 1.05719797800196 & 0.991752073724062 \tabularnewline
43 & 229.7 & 227.155776238753 & 208.695833333333 & 1.08845381630564 & 1.01120034807555 \tabularnewline
44 & 227.4 & 211.641071937218 & 208.766666666667 & 1.01376850680449 & 1.07446063242137 \tabularnewline
45 & 204.2 & 207.483288103878 & 209.654166666667 & 0.989645430866917 & 0.9841756503192 \tabularnewline
46 & 196.6 & 204.77004489191 & 210.516666666667 & 0.972702295425113 & 0.960101366895618 \tabularnewline
47 & 198.8 & 202.981413095406 & 210.916666666667 & 0.962377304284817 & 0.97940001977698 \tabularnewline
48 & 207.5 & 199.668137803378 & 211.570833333333 & 0.943741321322859 & 1.03922439645495 \tabularnewline
49 & 190.7 & 203.287984656715 & 212.720833333333 & 0.955656206640385 & 0.938078068519536 \tabularnewline
50 & 201.6 & 204.968338006121 & 213.620833333333 & 0.95949601360411 & 0.98356654477034 \tabularnewline
51 & 210.5 & 215.510337043926 & 215.841666666667 & 0.998464941325473 & 0.976751291317853 \tabularnewline
52 & 223.5 & 225.331831096277 & 220.6375 & 1.02127621594823 & 0.99187051786086 \tabularnewline
53 & 223.8 & 235.673664063075 & 227.216666666667 & 1.03721996947 & 0.94961819722081 \tabularnewline
54 & 231.2 & 247.463616700809 & 234.075 & 1.05719797800196 & 0.934278756135404 \tabularnewline
55 & 244 & 262.965906795209 & 241.595833333333 & 1.08845381630564 & 0.927876936495882 \tabularnewline
56 & 234.7 & 254.020819557091 & 250.570833333333 & 1.01376850680449 & 0.923940015661792 \tabularnewline
57 & 250.2 & 257.625323267801 & 260.320833333333 & 0.989645430866917 & 0.971177820667563 \tabularnewline
58 & 265.7 & 263.245664551883 & 270.633333333333 & 0.972702295425113 & 1.00932336512472 \tabularnewline
59 & 287.6 & 271.823469595246 & 282.45 & 0.962377304284817 & 1.05803961824284 \tabularnewline
60 & 283.3 & 279.744588917623 & 296.420833333333 & 0.943741321322859 & 1.01270949009643 \tabularnewline
61 & 295.4 & 297.033876627276 & 310.816666666667 & 0.955656206640385 & 0.994499359312723 \tabularnewline
62 & 312.3 & 310.125103197075 & 323.216666666667 & 0.95949601360411 & 1.00701296599503 \tabularnewline
63 & 333.8 & 331.028570484694 & 331.5375 & 0.998464941325473 & 1.00837217618784 \tabularnewline
64 & 347.7 & 340.523277620104 & 333.429166666667 & 1.02127621594823 & 1.02107557060432 \tabularnewline
65 & 383.2 & 340.527959476747 & 328.308333333333 & 1.03721996947 & 1.12531141521778 \tabularnewline
66 & 407.1 & 337.387114713025 & 319.133333333333 & 1.05719797800196 & 1.20662580829819 \tabularnewline
67 & 413.6 & 335.919523833095 & 308.620833333333 & 1.08845381630564 & 1.23124727994525 \tabularnewline
68 & 362.7 & NA & NA & 1.01376850680449 & NA \tabularnewline
69 & 321.9 & NA & NA & 0.989645430866917 & NA \tabularnewline
70 & 239.4 & NA & NA & 0.972702295425113 & NA \tabularnewline
71 & 191 & NA & NA & 0.962377304284817 & NA \tabularnewline
72 & 159.7 & NA & NA & 0.943741321322859 & NA \tabularnewline
73 & 166.7 & NA & NA & NA & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=41411&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]104.9[/C][C]NA[/C][C]NA[/C][C]0.955656206640385[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]110.9[/C][C]NA[/C][C]NA[/C][C]0.95949601360411[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]104.8[/C][C]NA[/C][C]NA[/C][C]0.998464941325473[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]94.1[/C][C]NA[/C][C]NA[/C][C]1.02127621594823[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]95.8[/C][C]NA[/C][C]NA[/C][C]1.03721996947[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]99.3[/C][C]NA[/C][C]NA[/C][C]1.05719797800196[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]101.1[/C][C]112.763815369265[/C][C]103.6[/C][C]1.08845381630564[/C][C]0.896564200749421[/C][/ROW]
[ROW][C]8[/C][C]104[/C][C]105.871224393949[/C][C]104.433333333333[/C][C]1.01376850680449[/C][C]0.982325467522823[/C][/ROW]
[ROW][C]9[/C][C]99[/C][C]104.568410338976[/C][C]105.6625[/C][C]0.989645430866917[/C][C]0.94674863736644[/C][/ROW]
[ROW][C]10[/C][C]105.4[/C][C]105.011318643603[/C][C]107.958333333333[/C][C]0.972702295425113[/C][C]1.00370132821316[/C][/ROW]
[ROW][C]11[/C][C]107.1[/C][C]106.791801532138[/C][C]110.966666666667[/C][C]0.962377304284817[/C][C]1.00288597498534[/C][/ROW]
[ROW][C]12[/C][C]110.7[/C][C]107.527526798223[/C][C]113.9375[/C][C]0.943741321322859[/C][C]1.02950382377649[/C][/ROW]
[ROW][C]13[/C][C]117.1[/C][C]111.564898323543[/C][C]116.741666666667[/C][C]0.955656206640385[/C][C]1.04961329019819[/C][/ROW]
[ROW][C]14[/C][C]118.7[/C][C]114.951620329829[/C][C]119.804166666667[/C][C]0.95949601360411[/C][C]1.03260832391415[/C][/ROW]
[ROW][C]15[/C][C]126.5[/C][C]123.006720500709[/C][C]123.195833333333[/C][C]0.998464941325473[/C][C]1.02839909465979[/C][/ROW]
[ROW][C]16[/C][C]127.5[/C][C]129.676547520026[/C][C]126.975[/C][C]1.02127621594823[/C][C]0.983215565484653[/C][/ROW]
[ROW][C]17[/C][C]134.6[/C][C]135.413388764181[/C][C]130.554166666667[/C][C]1.03721996947[/C][C]0.99399329141967[/C][/ROW]
[ROW][C]18[/C][C]131.8[/C][C]140.880440551911[/C][C]133.258333333333[/C][C]1.05719797800196[/C][C]0.935545058516727[/C][/ROW]
[ROW][C]19[/C][C]135.9[/C][C]147.685041975737[/C][C]135.683333333333[/C][C]1.08845381630564[/C][C]0.920201519273201[/C][/ROW]
[ROW][C]20[/C][C]142.7[/C][C]140.284441164517[/C][C]138.379166666667[/C][C]1.01376850680449[/C][C]1.01721900743540[/C][/ROW]
[ROW][C]21[/C][C]141.7[/C][C]140.096681307098[/C][C]141.5625[/C][C]0.989645430866917[/C][C]1.01144437311393[/C][/ROW]
[ROW][C]22[/C][C]153.4[/C][C]141.102626730106[/C][C]145.0625[/C][C]0.972702295425113[/C][C]1.08715197976730[/C][/ROW]
[ROW][C]23[/C][C]145[/C][C]142.315553776552[/C][C]147.879166666667[/C][C]0.962377304284817[/C][C]1.01886263414091[/C][/ROW]
[ROW][C]24[/C][C]137.7[/C][C]142.265071933915[/C][C]150.745833333333[/C][C]0.943741321322859[/C][C]0.96791150581194[/C][/ROW]
[ROW][C]25[/C][C]148.3[/C][C]147.461734585472[/C][C]154.304166666667[/C][C]0.955656206640385[/C][C]1.00568463009664[/C][/ROW]
[ROW][C]26[/C][C]152.2[/C][C]151.692321850753[/C][C]158.095833333333[/C][C]0.95949601360411[/C][C]1.00334676233479[/C][/ROW]
[ROW][C]27[/C][C]169.4[/C][C]161.855327259448[/C][C]162.104166666667[/C][C]0.998464941325473[/C][C]1.04661368191149[/C][/ROW]
[ROW][C]28[/C][C]168.6[/C][C]168.808447861109[/C][C]165.291666666667[/C][C]1.02127621594823[/C][C]0.998765181104677[/C][/ROW]
[ROW][C]29[/C][C]161.1[/C][C]173.950432379865[/C][C]167.708333333333[/C][C]1.03721996947[/C][C]0.926125895727569[/C][/ROW]
[ROW][C]30[/C][C]174.1[/C][C]180.498934777535[/C][C]170.733333333333[/C][C]1.05719797800196[/C][C]0.964548628580987[/C][/ROW]
[ROW][C]31[/C][C]179[/C][C]189.976007963446[/C][C]174.5375[/C][C]1.08845381630564[/C][C]0.94222424146549[/C][/ROW]
[ROW][C]32[/C][C]190.6[/C][C]180.746476692351[/C][C]178.291666666667[/C][C]1.01376850680449[/C][C]1.05451571443033[/C][/ROW]
[ROW][C]33[/C][C]190[/C][C]179.299010937314[/C][C]181.175[/C][C]0.989645430866917[/C][C]1.05968236526652[/C][/ROW]
[ROW][C]34[/C][C]181.6[/C][C]179.281191825541[/C][C]184.3125[/C][C]0.972702295425113[/C][C]1.01293391766781[/C][/ROW]
[ROW][C]35[/C][C]174.8[/C][C]181.708864765277[/C][C]188.8125[/C][C]0.962377304284817[/C][C]0.961978383530151[/C][/ROW]
[ROW][C]36[/C][C]180.5[/C][C]182.28363621351[/C][C]193.15[/C][C]0.943741321322859[/C][C]0.990215050288875[/C][/ROW]
[ROW][C]37[/C][C]196.8[/C][C]188.347892626237[/C][C]197.0875[/C][C]0.955656206640385[/C][C]1.04487497712829[/C][/ROW]
[ROW][C]38[/C][C]193.8[/C][C]192.602833130798[/C][C]200.733333333333[/C][C]0.95949601360411[/C][C]1.00621572824107[/C][/ROW]
[ROW][C]39[/C][C]197[/C][C]202.54693388905[/C][C]202.858333333333[/C][C]0.998464941325473[/C][C]0.972614081178398[/C][/ROW]
[ROW][C]40[/C][C]216.3[/C][C]208.416943769634[/C][C]204.075[/C][C]1.02127621594823[/C][C]1.03782349020087[/C][/ROW]
[ROW][C]41[/C][C]221.4[/C][C]213.356147719979[/C][C]205.7[/C][C]1.03721996947[/C][C]1.03770152566955[/C][/ROW]
[ROW][C]42[/C][C]217.9[/C][C]219.712169778257[/C][C]207.825[/C][C]1.05719797800196[/C][C]0.991752073724062[/C][/ROW]
[ROW][C]43[/C][C]229.7[/C][C]227.155776238753[/C][C]208.695833333333[/C][C]1.08845381630564[/C][C]1.01120034807555[/C][/ROW]
[ROW][C]44[/C][C]227.4[/C][C]211.641071937218[/C][C]208.766666666667[/C][C]1.01376850680449[/C][C]1.07446063242137[/C][/ROW]
[ROW][C]45[/C][C]204.2[/C][C]207.483288103878[/C][C]209.654166666667[/C][C]0.989645430866917[/C][C]0.9841756503192[/C][/ROW]
[ROW][C]46[/C][C]196.6[/C][C]204.77004489191[/C][C]210.516666666667[/C][C]0.972702295425113[/C][C]0.960101366895618[/C][/ROW]
[ROW][C]47[/C][C]198.8[/C][C]202.981413095406[/C][C]210.916666666667[/C][C]0.962377304284817[/C][C]0.97940001977698[/C][/ROW]
[ROW][C]48[/C][C]207.5[/C][C]199.668137803378[/C][C]211.570833333333[/C][C]0.943741321322859[/C][C]1.03922439645495[/C][/ROW]
[ROW][C]49[/C][C]190.7[/C][C]203.287984656715[/C][C]212.720833333333[/C][C]0.955656206640385[/C][C]0.938078068519536[/C][/ROW]
[ROW][C]50[/C][C]201.6[/C][C]204.968338006121[/C][C]213.620833333333[/C][C]0.95949601360411[/C][C]0.98356654477034[/C][/ROW]
[ROW][C]51[/C][C]210.5[/C][C]215.510337043926[/C][C]215.841666666667[/C][C]0.998464941325473[/C][C]0.976751291317853[/C][/ROW]
[ROW][C]52[/C][C]223.5[/C][C]225.331831096277[/C][C]220.6375[/C][C]1.02127621594823[/C][C]0.99187051786086[/C][/ROW]
[ROW][C]53[/C][C]223.8[/C][C]235.673664063075[/C][C]227.216666666667[/C][C]1.03721996947[/C][C]0.94961819722081[/C][/ROW]
[ROW][C]54[/C][C]231.2[/C][C]247.463616700809[/C][C]234.075[/C][C]1.05719797800196[/C][C]0.934278756135404[/C][/ROW]
[ROW][C]55[/C][C]244[/C][C]262.965906795209[/C][C]241.595833333333[/C][C]1.08845381630564[/C][C]0.927876936495882[/C][/ROW]
[ROW][C]56[/C][C]234.7[/C][C]254.020819557091[/C][C]250.570833333333[/C][C]1.01376850680449[/C][C]0.923940015661792[/C][/ROW]
[ROW][C]57[/C][C]250.2[/C][C]257.625323267801[/C][C]260.320833333333[/C][C]0.989645430866917[/C][C]0.971177820667563[/C][/ROW]
[ROW][C]58[/C][C]265.7[/C][C]263.245664551883[/C][C]270.633333333333[/C][C]0.972702295425113[/C][C]1.00932336512472[/C][/ROW]
[ROW][C]59[/C][C]287.6[/C][C]271.823469595246[/C][C]282.45[/C][C]0.962377304284817[/C][C]1.05803961824284[/C][/ROW]
[ROW][C]60[/C][C]283.3[/C][C]279.744588917623[/C][C]296.420833333333[/C][C]0.943741321322859[/C][C]1.01270949009643[/C][/ROW]
[ROW][C]61[/C][C]295.4[/C][C]297.033876627276[/C][C]310.816666666667[/C][C]0.955656206640385[/C][C]0.994499359312723[/C][/ROW]
[ROW][C]62[/C][C]312.3[/C][C]310.125103197075[/C][C]323.216666666667[/C][C]0.95949601360411[/C][C]1.00701296599503[/C][/ROW]
[ROW][C]63[/C][C]333.8[/C][C]331.028570484694[/C][C]331.5375[/C][C]0.998464941325473[/C][C]1.00837217618784[/C][/ROW]
[ROW][C]64[/C][C]347.7[/C][C]340.523277620104[/C][C]333.429166666667[/C][C]1.02127621594823[/C][C]1.02107557060432[/C][/ROW]
[ROW][C]65[/C][C]383.2[/C][C]340.527959476747[/C][C]328.308333333333[/C][C]1.03721996947[/C][C]1.12531141521778[/C][/ROW]
[ROW][C]66[/C][C]407.1[/C][C]337.387114713025[/C][C]319.133333333333[/C][C]1.05719797800196[/C][C]1.20662580829819[/C][/ROW]
[ROW][C]67[/C][C]413.6[/C][C]335.919523833095[/C][C]308.620833333333[/C][C]1.08845381630564[/C][C]1.23124727994525[/C][/ROW]
[ROW][C]68[/C][C]362.7[/C][C]NA[/C][C]NA[/C][C]1.01376850680449[/C][C]NA[/C][/ROW]
[ROW][C]69[/C][C]321.9[/C][C]NA[/C][C]NA[/C][C]0.989645430866917[/C][C]NA[/C][/ROW]
[ROW][C]70[/C][C]239.4[/C][C]NA[/C][C]NA[/C][C]0.972702295425113[/C][C]NA[/C][/ROW]
[ROW][C]71[/C][C]191[/C][C]NA[/C][C]NA[/C][C]0.962377304284817[/C][C]NA[/C][/ROW]
[ROW][C]72[/C][C]159.7[/C][C]NA[/C][C]NA[/C][C]0.943741321322859[/C][C]NA[/C][/ROW]
[ROW][C]73[/C][C]166.7[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=41411&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=41411&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
1104.9NANA0.955656206640385NA
2110.9NANA0.95949601360411NA
3104.8NANA0.998464941325473NA
494.1NANA1.02127621594823NA
595.8NANA1.03721996947NA
699.3NANA1.05719797800196NA
7101.1112.763815369265103.61.088453816305640.896564200749421
8104105.871224393949104.4333333333331.013768506804490.982325467522823
999104.568410338976105.66250.9896454308669170.94674863736644
10105.4105.011318643603107.9583333333330.9727022954251131.00370132821316
11107.1106.791801532138110.9666666666670.9623773042848171.00288597498534
12110.7107.527526798223113.93750.9437413213228591.02950382377649
13117.1111.564898323543116.7416666666670.9556562066403851.04961329019819
14118.7114.951620329829119.8041666666670.959496013604111.03260832391415
15126.5123.006720500709123.1958333333330.9984649413254731.02839909465979
16127.5129.676547520026126.9751.021276215948230.983215565484653
17134.6135.413388764181130.5541666666671.037219969470.99399329141967
18131.8140.880440551911133.2583333333331.057197978001960.935545058516727
19135.9147.685041975737135.6833333333331.088453816305640.920201519273201
20142.7140.284441164517138.3791666666671.013768506804491.01721900743540
21141.7140.096681307098141.56250.9896454308669171.01144437311393
22153.4141.102626730106145.06250.9727022954251131.08715197976730
23145142.315553776552147.8791666666670.9623773042848171.01886263414091
24137.7142.265071933915150.7458333333330.9437413213228590.96791150581194
25148.3147.461734585472154.3041666666670.9556562066403851.00568463009664
26152.2151.692321850753158.0958333333330.959496013604111.00334676233479
27169.4161.855327259448162.1041666666670.9984649413254731.04661368191149
28168.6168.808447861109165.2916666666671.021276215948230.998765181104677
29161.1173.950432379865167.7083333333331.037219969470.926125895727569
30174.1180.498934777535170.7333333333331.057197978001960.964548628580987
31179189.976007963446174.53751.088453816305640.94222424146549
32190.6180.746476692351178.2916666666671.013768506804491.05451571443033
33190179.299010937314181.1750.9896454308669171.05968236526652
34181.6179.281191825541184.31250.9727022954251131.01293391766781
35174.8181.708864765277188.81250.9623773042848170.961978383530151
36180.5182.28363621351193.150.9437413213228590.990215050288875
37196.8188.347892626237197.08750.9556562066403851.04487497712829
38193.8192.602833130798200.7333333333330.959496013604111.00621572824107
39197202.54693388905202.8583333333330.9984649413254730.972614081178398
40216.3208.416943769634204.0751.021276215948231.03782349020087
41221.4213.356147719979205.71.037219969471.03770152566955
42217.9219.712169778257207.8251.057197978001960.991752073724062
43229.7227.155776238753208.6958333333331.088453816305641.01120034807555
44227.4211.641071937218208.7666666666671.013768506804491.07446063242137
45204.2207.483288103878209.6541666666670.9896454308669170.9841756503192
46196.6204.77004489191210.5166666666670.9727022954251130.960101366895618
47198.8202.981413095406210.9166666666670.9623773042848170.97940001977698
48207.5199.668137803378211.5708333333330.9437413213228591.03922439645495
49190.7203.287984656715212.7208333333330.9556562066403850.938078068519536
50201.6204.968338006121213.6208333333330.959496013604110.98356654477034
51210.5215.510337043926215.8416666666670.9984649413254730.976751291317853
52223.5225.331831096277220.63751.021276215948230.99187051786086
53223.8235.673664063075227.2166666666671.037219969470.94961819722081
54231.2247.463616700809234.0751.057197978001960.934278756135404
55244262.965906795209241.5958333333331.088453816305640.927876936495882
56234.7254.020819557091250.5708333333331.013768506804490.923940015661792
57250.2257.625323267801260.3208333333330.9896454308669170.971177820667563
58265.7263.245664551883270.6333333333330.9727022954251131.00932336512472
59287.6271.823469595246282.450.9623773042848171.05803961824284
60283.3279.744588917623296.4208333333330.9437413213228591.01270949009643
61295.4297.033876627276310.8166666666670.9556562066403850.994499359312723
62312.3310.125103197075323.2166666666670.959496013604111.00701296599503
63333.8331.028570484694331.53750.9984649413254731.00837217618784
64347.7340.523277620104333.4291666666671.021276215948231.02107557060432
65383.2340.527959476747328.3083333333331.037219969471.12531141521778
66407.1337.387114713025319.1333333333331.057197978001961.20662580829819
67413.6335.919523833095308.6208333333331.088453816305641.23124727994525
68362.7NANA1.01376850680449NA
69321.9NANA0.989645430866917NA
70239.4NANA0.972702295425113NA
71191NANA0.962377304284817NA
72159.7NANA0.943741321322859NA
73166.7NANANANA



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')