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of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationMon, 28 Nov 2016 17:17:16 +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/Nov/28/t1480353507znciphes69imkv1.htm/, Retrieved Sat, 04 May 2024 07:52:37 +0200
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=, Retrieved Sat, 04 May 2024 07:52:37 +0200
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact0
Dataseries X:
54854
53982
52301
51652
50338
51959
57648
57803
52599
51123
49604
51154
51765
50491
49332
48690
47496
48107
53970
54300
50246
48519
47602
49723
52010
50976
49795
49104
48354
49390
55323
56287
52831
51881
51382
53000
54365
53815
53107
53031
52419
53378
59398
60706
58531
57244
56843
58299
60654
59579
58823
57813
56487
57644
62444
62890
59758
58716
57485
57888
59676
58365
57337
56520
55189
56229
60766
61393
57919
56772
55820
56953




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

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







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
154854NANA1.02267NA
253982NANA1.00237NA
352301NANA0.983071NA
451652NANA0.969659NA
550338NANA0.948942NA
651959NANA0.964614NA
75764856498.752789.41.070271.02034
85780356746.952515.21.080581.01861
95259952848.8522461.011540.995274
105112351262.851998.90.9858430.997274
114960450071.551757.10.9674330.990663
12511545111951478.20.9930241.00068
135176552324.251164.41.022670.989313
145049150985.550865.21.002370.9903
154933249764.250621.20.9830710.991314
16486904888550414.70.9696590.99601
174749647658.550222.80.9489420.996591
184810748307.650079.70.9646140.995848
195397053545.750030.31.070271.00792
205430054094.650060.71.080581.0038
215024650678.250100.21.011540.991472
22485194942750136.70.9858430.98163
234760248555.250189.70.9674330.980369
244972349928.2502790.9930240.99589
25520105153150388.81.022671.0093
265097650647.5505281.002371.00649
274979549859.850718.50.9830710.9987
284910449419.950966.20.9696590.993608
294835448646.451263.80.9489420.99399
304939049733.551557.90.9646140.993094
315532355431.851792.51.070270.998037
325628756199.8520091.080581.00155
335283152868.252265.21.011540.999296
345188151822.752566.90.9858431.00113
355138251177.152899.90.9674331.004
36530005286453235.40.9930241.00257
375436554785.753571.41.022670.992321
385381554052.953925.31.002370.995599
395310753426.954346.90.9830710.994013
40530315314554807.90.9696590.997856
415241952437.455258.90.9489420.999648
42533785373655707.20.9646140.993339
435939860138.3561901.070270.98769
446070661260.556692.21.080580.990949
455853157830.157170.61.011541.01212
465724456792.4576080.9858431.00795
475684356088.657976.80.9674331.01345
485829957917.1583240.9930241.00659
496065459957.658628.71.022671.01161
505957958985.858846.61.002371.01006
515882357990.158988.70.9830711.01436
52578135730859101.20.9696591.00881
535648756167.159189.20.9489421.00569
545764457104.159198.90.9646141.00946
556244463296.6591411.070270.98653
566289063807.959049.71.080580.985615
575975859617.158937.21.011541.00236
585871657988.658821.40.9858431.01254
595748556801.358713.40.9674331.01204
605788858191.658600.40.9930240.994784
615967659796.958471.51.022670.997978
625836558477.258339.21.002370.998081
635733757214.958200.20.9830711.00213
645652056281.558042.60.9696591.00424
655518954936.357892.20.9489421.0046
665622955739.157783.90.9646141.00879
6760766NANA1.07027NA
6861393NANA1.08058NA
6957919NANA1.01154NA
7056772NANA0.985843NA
7155820NANA0.967433NA
7256953NANA0.993024NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 54854 & NA & NA & 1.02267 & NA \tabularnewline
2 & 53982 & NA & NA & 1.00237 & NA \tabularnewline
3 & 52301 & NA & NA & 0.983071 & NA \tabularnewline
4 & 51652 & NA & NA & 0.969659 & NA \tabularnewline
5 & 50338 & NA & NA & 0.948942 & NA \tabularnewline
6 & 51959 & NA & NA & 0.964614 & NA \tabularnewline
7 & 57648 & 56498.7 & 52789.4 & 1.07027 & 1.02034 \tabularnewline
8 & 57803 & 56746.9 & 52515.2 & 1.08058 & 1.01861 \tabularnewline
9 & 52599 & 52848.8 & 52246 & 1.01154 & 0.995274 \tabularnewline
10 & 51123 & 51262.8 & 51998.9 & 0.985843 & 0.997274 \tabularnewline
11 & 49604 & 50071.5 & 51757.1 & 0.967433 & 0.990663 \tabularnewline
12 & 51154 & 51119 & 51478.2 & 0.993024 & 1.00068 \tabularnewline
13 & 51765 & 52324.2 & 51164.4 & 1.02267 & 0.989313 \tabularnewline
14 & 50491 & 50985.5 & 50865.2 & 1.00237 & 0.9903 \tabularnewline
15 & 49332 & 49764.2 & 50621.2 & 0.983071 & 0.991314 \tabularnewline
16 & 48690 & 48885 & 50414.7 & 0.969659 & 0.99601 \tabularnewline
17 & 47496 & 47658.5 & 50222.8 & 0.948942 & 0.996591 \tabularnewline
18 & 48107 & 48307.6 & 50079.7 & 0.964614 & 0.995848 \tabularnewline
19 & 53970 & 53545.7 & 50030.3 & 1.07027 & 1.00792 \tabularnewline
20 & 54300 & 54094.6 & 50060.7 & 1.08058 & 1.0038 \tabularnewline
21 & 50246 & 50678.2 & 50100.2 & 1.01154 & 0.991472 \tabularnewline
22 & 48519 & 49427 & 50136.7 & 0.985843 & 0.98163 \tabularnewline
23 & 47602 & 48555.2 & 50189.7 & 0.967433 & 0.980369 \tabularnewline
24 & 49723 & 49928.2 & 50279 & 0.993024 & 0.99589 \tabularnewline
25 & 52010 & 51531 & 50388.8 & 1.02267 & 1.0093 \tabularnewline
26 & 50976 & 50647.5 & 50528 & 1.00237 & 1.00649 \tabularnewline
27 & 49795 & 49859.8 & 50718.5 & 0.983071 & 0.9987 \tabularnewline
28 & 49104 & 49419.9 & 50966.2 & 0.969659 & 0.993608 \tabularnewline
29 & 48354 & 48646.4 & 51263.8 & 0.948942 & 0.99399 \tabularnewline
30 & 49390 & 49733.5 & 51557.9 & 0.964614 & 0.993094 \tabularnewline
31 & 55323 & 55431.8 & 51792.5 & 1.07027 & 0.998037 \tabularnewline
32 & 56287 & 56199.8 & 52009 & 1.08058 & 1.00155 \tabularnewline
33 & 52831 & 52868.2 & 52265.2 & 1.01154 & 0.999296 \tabularnewline
34 & 51881 & 51822.7 & 52566.9 & 0.985843 & 1.00113 \tabularnewline
35 & 51382 & 51177.1 & 52899.9 & 0.967433 & 1.004 \tabularnewline
36 & 53000 & 52864 & 53235.4 & 0.993024 & 1.00257 \tabularnewline
37 & 54365 & 54785.7 & 53571.4 & 1.02267 & 0.992321 \tabularnewline
38 & 53815 & 54052.9 & 53925.3 & 1.00237 & 0.995599 \tabularnewline
39 & 53107 & 53426.9 & 54346.9 & 0.983071 & 0.994013 \tabularnewline
40 & 53031 & 53145 & 54807.9 & 0.969659 & 0.997856 \tabularnewline
41 & 52419 & 52437.4 & 55258.9 & 0.948942 & 0.999648 \tabularnewline
42 & 53378 & 53736 & 55707.2 & 0.964614 & 0.993339 \tabularnewline
43 & 59398 & 60138.3 & 56190 & 1.07027 & 0.98769 \tabularnewline
44 & 60706 & 61260.5 & 56692.2 & 1.08058 & 0.990949 \tabularnewline
45 & 58531 & 57830.1 & 57170.6 & 1.01154 & 1.01212 \tabularnewline
46 & 57244 & 56792.4 & 57608 & 0.985843 & 1.00795 \tabularnewline
47 & 56843 & 56088.6 & 57976.8 & 0.967433 & 1.01345 \tabularnewline
48 & 58299 & 57917.1 & 58324 & 0.993024 & 1.00659 \tabularnewline
49 & 60654 & 59957.6 & 58628.7 & 1.02267 & 1.01161 \tabularnewline
50 & 59579 & 58985.8 & 58846.6 & 1.00237 & 1.01006 \tabularnewline
51 & 58823 & 57990.1 & 58988.7 & 0.983071 & 1.01436 \tabularnewline
52 & 57813 & 57308 & 59101.2 & 0.969659 & 1.00881 \tabularnewline
53 & 56487 & 56167.1 & 59189.2 & 0.948942 & 1.00569 \tabularnewline
54 & 57644 & 57104.1 & 59198.9 & 0.964614 & 1.00946 \tabularnewline
55 & 62444 & 63296.6 & 59141 & 1.07027 & 0.98653 \tabularnewline
56 & 62890 & 63807.9 & 59049.7 & 1.08058 & 0.985615 \tabularnewline
57 & 59758 & 59617.1 & 58937.2 & 1.01154 & 1.00236 \tabularnewline
58 & 58716 & 57988.6 & 58821.4 & 0.985843 & 1.01254 \tabularnewline
59 & 57485 & 56801.3 & 58713.4 & 0.967433 & 1.01204 \tabularnewline
60 & 57888 & 58191.6 & 58600.4 & 0.993024 & 0.994784 \tabularnewline
61 & 59676 & 59796.9 & 58471.5 & 1.02267 & 0.997978 \tabularnewline
62 & 58365 & 58477.2 & 58339.2 & 1.00237 & 0.998081 \tabularnewline
63 & 57337 & 57214.9 & 58200.2 & 0.983071 & 1.00213 \tabularnewline
64 & 56520 & 56281.5 & 58042.6 & 0.969659 & 1.00424 \tabularnewline
65 & 55189 & 54936.3 & 57892.2 & 0.948942 & 1.0046 \tabularnewline
66 & 56229 & 55739.1 & 57783.9 & 0.964614 & 1.00879 \tabularnewline
67 & 60766 & NA & NA & 1.07027 & NA \tabularnewline
68 & 61393 & NA & NA & 1.08058 & NA \tabularnewline
69 & 57919 & NA & NA & 1.01154 & NA \tabularnewline
70 & 56772 & NA & NA & 0.985843 & NA \tabularnewline
71 & 55820 & NA & NA & 0.967433 & NA \tabularnewline
72 & 56953 & NA & NA & 0.993024 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&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]54854[/C][C]NA[/C][C]NA[/C][C]1.02267[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]53982[/C][C]NA[/C][C]NA[/C][C]1.00237[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]52301[/C][C]NA[/C][C]NA[/C][C]0.983071[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]51652[/C][C]NA[/C][C]NA[/C][C]0.969659[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]50338[/C][C]NA[/C][C]NA[/C][C]0.948942[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]51959[/C][C]NA[/C][C]NA[/C][C]0.964614[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]57648[/C][C]56498.7[/C][C]52789.4[/C][C]1.07027[/C][C]1.02034[/C][/ROW]
[ROW][C]8[/C][C]57803[/C][C]56746.9[/C][C]52515.2[/C][C]1.08058[/C][C]1.01861[/C][/ROW]
[ROW][C]9[/C][C]52599[/C][C]52848.8[/C][C]52246[/C][C]1.01154[/C][C]0.995274[/C][/ROW]
[ROW][C]10[/C][C]51123[/C][C]51262.8[/C][C]51998.9[/C][C]0.985843[/C][C]0.997274[/C][/ROW]
[ROW][C]11[/C][C]49604[/C][C]50071.5[/C][C]51757.1[/C][C]0.967433[/C][C]0.990663[/C][/ROW]
[ROW][C]12[/C][C]51154[/C][C]51119[/C][C]51478.2[/C][C]0.993024[/C][C]1.00068[/C][/ROW]
[ROW][C]13[/C][C]51765[/C][C]52324.2[/C][C]51164.4[/C][C]1.02267[/C][C]0.989313[/C][/ROW]
[ROW][C]14[/C][C]50491[/C][C]50985.5[/C][C]50865.2[/C][C]1.00237[/C][C]0.9903[/C][/ROW]
[ROW][C]15[/C][C]49332[/C][C]49764.2[/C][C]50621.2[/C][C]0.983071[/C][C]0.991314[/C][/ROW]
[ROW][C]16[/C][C]48690[/C][C]48885[/C][C]50414.7[/C][C]0.969659[/C][C]0.99601[/C][/ROW]
[ROW][C]17[/C][C]47496[/C][C]47658.5[/C][C]50222.8[/C][C]0.948942[/C][C]0.996591[/C][/ROW]
[ROW][C]18[/C][C]48107[/C][C]48307.6[/C][C]50079.7[/C][C]0.964614[/C][C]0.995848[/C][/ROW]
[ROW][C]19[/C][C]53970[/C][C]53545.7[/C][C]50030.3[/C][C]1.07027[/C][C]1.00792[/C][/ROW]
[ROW][C]20[/C][C]54300[/C][C]54094.6[/C][C]50060.7[/C][C]1.08058[/C][C]1.0038[/C][/ROW]
[ROW][C]21[/C][C]50246[/C][C]50678.2[/C][C]50100.2[/C][C]1.01154[/C][C]0.991472[/C][/ROW]
[ROW][C]22[/C][C]48519[/C][C]49427[/C][C]50136.7[/C][C]0.985843[/C][C]0.98163[/C][/ROW]
[ROW][C]23[/C][C]47602[/C][C]48555.2[/C][C]50189.7[/C][C]0.967433[/C][C]0.980369[/C][/ROW]
[ROW][C]24[/C][C]49723[/C][C]49928.2[/C][C]50279[/C][C]0.993024[/C][C]0.99589[/C][/ROW]
[ROW][C]25[/C][C]52010[/C][C]51531[/C][C]50388.8[/C][C]1.02267[/C][C]1.0093[/C][/ROW]
[ROW][C]26[/C][C]50976[/C][C]50647.5[/C][C]50528[/C][C]1.00237[/C][C]1.00649[/C][/ROW]
[ROW][C]27[/C][C]49795[/C][C]49859.8[/C][C]50718.5[/C][C]0.983071[/C][C]0.9987[/C][/ROW]
[ROW][C]28[/C][C]49104[/C][C]49419.9[/C][C]50966.2[/C][C]0.969659[/C][C]0.993608[/C][/ROW]
[ROW][C]29[/C][C]48354[/C][C]48646.4[/C][C]51263.8[/C][C]0.948942[/C][C]0.99399[/C][/ROW]
[ROW][C]30[/C][C]49390[/C][C]49733.5[/C][C]51557.9[/C][C]0.964614[/C][C]0.993094[/C][/ROW]
[ROW][C]31[/C][C]55323[/C][C]55431.8[/C][C]51792.5[/C][C]1.07027[/C][C]0.998037[/C][/ROW]
[ROW][C]32[/C][C]56287[/C][C]56199.8[/C][C]52009[/C][C]1.08058[/C][C]1.00155[/C][/ROW]
[ROW][C]33[/C][C]52831[/C][C]52868.2[/C][C]52265.2[/C][C]1.01154[/C][C]0.999296[/C][/ROW]
[ROW][C]34[/C][C]51881[/C][C]51822.7[/C][C]52566.9[/C][C]0.985843[/C][C]1.00113[/C][/ROW]
[ROW][C]35[/C][C]51382[/C][C]51177.1[/C][C]52899.9[/C][C]0.967433[/C][C]1.004[/C][/ROW]
[ROW][C]36[/C][C]53000[/C][C]52864[/C][C]53235.4[/C][C]0.993024[/C][C]1.00257[/C][/ROW]
[ROW][C]37[/C][C]54365[/C][C]54785.7[/C][C]53571.4[/C][C]1.02267[/C][C]0.992321[/C][/ROW]
[ROW][C]38[/C][C]53815[/C][C]54052.9[/C][C]53925.3[/C][C]1.00237[/C][C]0.995599[/C][/ROW]
[ROW][C]39[/C][C]53107[/C][C]53426.9[/C][C]54346.9[/C][C]0.983071[/C][C]0.994013[/C][/ROW]
[ROW][C]40[/C][C]53031[/C][C]53145[/C][C]54807.9[/C][C]0.969659[/C][C]0.997856[/C][/ROW]
[ROW][C]41[/C][C]52419[/C][C]52437.4[/C][C]55258.9[/C][C]0.948942[/C][C]0.999648[/C][/ROW]
[ROW][C]42[/C][C]53378[/C][C]53736[/C][C]55707.2[/C][C]0.964614[/C][C]0.993339[/C][/ROW]
[ROW][C]43[/C][C]59398[/C][C]60138.3[/C][C]56190[/C][C]1.07027[/C][C]0.98769[/C][/ROW]
[ROW][C]44[/C][C]60706[/C][C]61260.5[/C][C]56692.2[/C][C]1.08058[/C][C]0.990949[/C][/ROW]
[ROW][C]45[/C][C]58531[/C][C]57830.1[/C][C]57170.6[/C][C]1.01154[/C][C]1.01212[/C][/ROW]
[ROW][C]46[/C][C]57244[/C][C]56792.4[/C][C]57608[/C][C]0.985843[/C][C]1.00795[/C][/ROW]
[ROW][C]47[/C][C]56843[/C][C]56088.6[/C][C]57976.8[/C][C]0.967433[/C][C]1.01345[/C][/ROW]
[ROW][C]48[/C][C]58299[/C][C]57917.1[/C][C]58324[/C][C]0.993024[/C][C]1.00659[/C][/ROW]
[ROW][C]49[/C][C]60654[/C][C]59957.6[/C][C]58628.7[/C][C]1.02267[/C][C]1.01161[/C][/ROW]
[ROW][C]50[/C][C]59579[/C][C]58985.8[/C][C]58846.6[/C][C]1.00237[/C][C]1.01006[/C][/ROW]
[ROW][C]51[/C][C]58823[/C][C]57990.1[/C][C]58988.7[/C][C]0.983071[/C][C]1.01436[/C][/ROW]
[ROW][C]52[/C][C]57813[/C][C]57308[/C][C]59101.2[/C][C]0.969659[/C][C]1.00881[/C][/ROW]
[ROW][C]53[/C][C]56487[/C][C]56167.1[/C][C]59189.2[/C][C]0.948942[/C][C]1.00569[/C][/ROW]
[ROW][C]54[/C][C]57644[/C][C]57104.1[/C][C]59198.9[/C][C]0.964614[/C][C]1.00946[/C][/ROW]
[ROW][C]55[/C][C]62444[/C][C]63296.6[/C][C]59141[/C][C]1.07027[/C][C]0.98653[/C][/ROW]
[ROW][C]56[/C][C]62890[/C][C]63807.9[/C][C]59049.7[/C][C]1.08058[/C][C]0.985615[/C][/ROW]
[ROW][C]57[/C][C]59758[/C][C]59617.1[/C][C]58937.2[/C][C]1.01154[/C][C]1.00236[/C][/ROW]
[ROW][C]58[/C][C]58716[/C][C]57988.6[/C][C]58821.4[/C][C]0.985843[/C][C]1.01254[/C][/ROW]
[ROW][C]59[/C][C]57485[/C][C]56801.3[/C][C]58713.4[/C][C]0.967433[/C][C]1.01204[/C][/ROW]
[ROW][C]60[/C][C]57888[/C][C]58191.6[/C][C]58600.4[/C][C]0.993024[/C][C]0.994784[/C][/ROW]
[ROW][C]61[/C][C]59676[/C][C]59796.9[/C][C]58471.5[/C][C]1.02267[/C][C]0.997978[/C][/ROW]
[ROW][C]62[/C][C]58365[/C][C]58477.2[/C][C]58339.2[/C][C]1.00237[/C][C]0.998081[/C][/ROW]
[ROW][C]63[/C][C]57337[/C][C]57214.9[/C][C]58200.2[/C][C]0.983071[/C][C]1.00213[/C][/ROW]
[ROW][C]64[/C][C]56520[/C][C]56281.5[/C][C]58042.6[/C][C]0.969659[/C][C]1.00424[/C][/ROW]
[ROW][C]65[/C][C]55189[/C][C]54936.3[/C][C]57892.2[/C][C]0.948942[/C][C]1.0046[/C][/ROW]
[ROW][C]66[/C][C]56229[/C][C]55739.1[/C][C]57783.9[/C][C]0.964614[/C][C]1.00879[/C][/ROW]
[ROW][C]67[/C][C]60766[/C][C]NA[/C][C]NA[/C][C]1.07027[/C][C]NA[/C][/ROW]
[ROW][C]68[/C][C]61393[/C][C]NA[/C][C]NA[/C][C]1.08058[/C][C]NA[/C][/ROW]
[ROW][C]69[/C][C]57919[/C][C]NA[/C][C]NA[/C][C]1.01154[/C][C]NA[/C][/ROW]
[ROW][C]70[/C][C]56772[/C][C]NA[/C][C]NA[/C][C]0.985843[/C][C]NA[/C][/ROW]
[ROW][C]71[/C][C]55820[/C][C]NA[/C][C]NA[/C][C]0.967433[/C][C]NA[/C][/ROW]
[ROW][C]72[/C][C]56953[/C][C]NA[/C][C]NA[/C][C]0.993024[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&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
154854NANA1.02267NA
253982NANA1.00237NA
352301NANA0.983071NA
451652NANA0.969659NA
550338NANA0.948942NA
651959NANA0.964614NA
75764856498.752789.41.070271.02034
85780356746.952515.21.080581.01861
95259952848.8522461.011540.995274
105112351262.851998.90.9858430.997274
114960450071.551757.10.9674330.990663
12511545111951478.20.9930241.00068
135176552324.251164.41.022670.989313
145049150985.550865.21.002370.9903
154933249764.250621.20.9830710.991314
16486904888550414.70.9696590.99601
174749647658.550222.80.9489420.996591
184810748307.650079.70.9646140.995848
195397053545.750030.31.070271.00792
205430054094.650060.71.080581.0038
215024650678.250100.21.011540.991472
22485194942750136.70.9858430.98163
234760248555.250189.70.9674330.980369
244972349928.2502790.9930240.99589
25520105153150388.81.022671.0093
265097650647.5505281.002371.00649
274979549859.850718.50.9830710.9987
284910449419.950966.20.9696590.993608
294835448646.451263.80.9489420.99399
304939049733.551557.90.9646140.993094
315532355431.851792.51.070270.998037
325628756199.8520091.080581.00155
335283152868.252265.21.011540.999296
345188151822.752566.90.9858431.00113
355138251177.152899.90.9674331.004
36530005286453235.40.9930241.00257
375436554785.753571.41.022670.992321
385381554052.953925.31.002370.995599
395310753426.954346.90.9830710.994013
40530315314554807.90.9696590.997856
415241952437.455258.90.9489420.999648
42533785373655707.20.9646140.993339
435939860138.3561901.070270.98769
446070661260.556692.21.080580.990949
455853157830.157170.61.011541.01212
465724456792.4576080.9858431.00795
475684356088.657976.80.9674331.01345
485829957917.1583240.9930241.00659
496065459957.658628.71.022671.01161
505957958985.858846.61.002371.01006
515882357990.158988.70.9830711.01436
52578135730859101.20.9696591.00881
535648756167.159189.20.9489421.00569
545764457104.159198.90.9646141.00946
556244463296.6591411.070270.98653
566289063807.959049.71.080580.985615
575975859617.158937.21.011541.00236
585871657988.658821.40.9858431.01254
595748556801.358713.40.9674331.01204
605788858191.658600.40.9930240.994784
615967659796.958471.51.022670.997978
625836558477.258339.21.002370.998081
635733757214.958200.20.9830711.00213
645652056281.558042.60.9696591.00424
655518954936.357892.20.9489421.0046
665622955739.157783.90.9646141.00879
6760766NANA1.07027NA
6861393NANA1.08058NA
6957919NANA1.01154NA
7056772NANA0.985843NA
7155820NANA0.967433NA
7256953NANA0.993024NA



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$trend)) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
if (par1 == 'additive') a<-table.element(a,signif(m$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')