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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 17:19:00 +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/t1480353570zi45m2jiz28iwf4.htm/, Retrieved Sat, 04 May 2024 17:28:38 +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 17:28:38 +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
154854NANA1241.19NA
253982NANA136.492NA
352301NANA-904.158NA
451652NANA-1642.77NA
550338NANA-2784.24NA
651959NANA-1923.77NA
75764856549.552789.43760.091098.53
85780356839.252515.24323.98963.808
95259952887.352246641.292-288.333
105112351261.351998.9-737.642-138.275
11496045002551757.1-1732.03-421.05
125115451099.751478.2-378.44254.275
135176552405.651164.41241.19-640.608
145049151001.750865.2136.492-510.7
15493324971750621.2-904.158-385.05
164869048771.950414.7-1642.77-81.9
174749647438.550222.8-2784.2457.4917
184810748155.950079.7-1923.77-48.9417
195397053790.450030.33760.09179.617
205430054384.750060.74323.98-84.6917
215024650741.550100.2641.292-495.5
224851949399.150136.7-737.642-880.108
234760248457.750189.7-1732.03-855.717
244972349900.550279-378.442-177.517
25520105163050388.81241.19380.017
265097650664.550528136.492311.55
274979549814.350718.5-904.158-19.3
284910449323.550966.2-1642.77-219.483
294835448479.651263.8-2784.24-125.592
304939049634.151557.9-1923.77-244.108
315532355552.651792.53760.09-229.633
325628756332.9520094323.98-45.9417
335283152906.552265.2641.292-75.5417
345188151829.252566.9-737.64251.7667
355138251167.852899.9-1732.03214.158
36530005285753235.4-378.442143.025
375436554812.653571.41241.19-447.567
385381554061.853925.3136.492-246.783
395310753442.854346.9-904.158-335.758
405303153165.154807.9-1642.77-134.108
415241952474.655258.9-2784.24-55.6333
425337853783.455707.2-1923.77-405.442
435939859950.1561903760.09-552.133
446070661016.256692.24323.98-310.233
455853157811.957170.6641.292719.125
465724456870.457608-737.642373.642
475684356244.757976.8-1732.03598.283
485829957945.658324-378.442353.442
496065459869.958628.71241.19784.142
505957958983.158846.6136.492595.925
515882358084.658988.7-904.158738.45
525781357458.459101.2-1642.77354.6
53564875640559189.2-2784.2481.9917
545764457275.159198.9-1923.77368.892
556244462901.1591413760.09-457.092
566289063373.659049.74323.98-483.65
575975859578.558937.2641.292179.542
585871658083.758821.4-737.642632.267
595748556981.458713.4-1732.03503.617
605788858221.958600.4-378.442-333.933
615967659712.758471.51241.19-36.6917
625836558475.758339.2136.492-110.7
63573375729658200.2-904.15840.95
645652056399.858042.6-1642.77120.183
65551895510857892.2-2784.2481.0333
665622955860.157783.9-1923.77368.892
6760766NANA3760.09NA
6861393NANA4323.98NA
6957919NANA641.292NA
7056772NANA-737.642NA
7155820NANA-1732.03NA
7256953NANA-378.442NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 54854 & NA & NA & 1241.19 & NA \tabularnewline
2 & 53982 & NA & NA & 136.492 & NA \tabularnewline
3 & 52301 & NA & NA & -904.158 & NA \tabularnewline
4 & 51652 & NA & NA & -1642.77 & NA \tabularnewline
5 & 50338 & NA & NA & -2784.24 & NA \tabularnewline
6 & 51959 & NA & NA & -1923.77 & NA \tabularnewline
7 & 57648 & 56549.5 & 52789.4 & 3760.09 & 1098.53 \tabularnewline
8 & 57803 & 56839.2 & 52515.2 & 4323.98 & 963.808 \tabularnewline
9 & 52599 & 52887.3 & 52246 & 641.292 & -288.333 \tabularnewline
10 & 51123 & 51261.3 & 51998.9 & -737.642 & -138.275 \tabularnewline
11 & 49604 & 50025 & 51757.1 & -1732.03 & -421.05 \tabularnewline
12 & 51154 & 51099.7 & 51478.2 & -378.442 & 54.275 \tabularnewline
13 & 51765 & 52405.6 & 51164.4 & 1241.19 & -640.608 \tabularnewline
14 & 50491 & 51001.7 & 50865.2 & 136.492 & -510.7 \tabularnewline
15 & 49332 & 49717 & 50621.2 & -904.158 & -385.05 \tabularnewline
16 & 48690 & 48771.9 & 50414.7 & -1642.77 & -81.9 \tabularnewline
17 & 47496 & 47438.5 & 50222.8 & -2784.24 & 57.4917 \tabularnewline
18 & 48107 & 48155.9 & 50079.7 & -1923.77 & -48.9417 \tabularnewline
19 & 53970 & 53790.4 & 50030.3 & 3760.09 & 179.617 \tabularnewline
20 & 54300 & 54384.7 & 50060.7 & 4323.98 & -84.6917 \tabularnewline
21 & 50246 & 50741.5 & 50100.2 & 641.292 & -495.5 \tabularnewline
22 & 48519 & 49399.1 & 50136.7 & -737.642 & -880.108 \tabularnewline
23 & 47602 & 48457.7 & 50189.7 & -1732.03 & -855.717 \tabularnewline
24 & 49723 & 49900.5 & 50279 & -378.442 & -177.517 \tabularnewline
25 & 52010 & 51630 & 50388.8 & 1241.19 & 380.017 \tabularnewline
26 & 50976 & 50664.5 & 50528 & 136.492 & 311.55 \tabularnewline
27 & 49795 & 49814.3 & 50718.5 & -904.158 & -19.3 \tabularnewline
28 & 49104 & 49323.5 & 50966.2 & -1642.77 & -219.483 \tabularnewline
29 & 48354 & 48479.6 & 51263.8 & -2784.24 & -125.592 \tabularnewline
30 & 49390 & 49634.1 & 51557.9 & -1923.77 & -244.108 \tabularnewline
31 & 55323 & 55552.6 & 51792.5 & 3760.09 & -229.633 \tabularnewline
32 & 56287 & 56332.9 & 52009 & 4323.98 & -45.9417 \tabularnewline
33 & 52831 & 52906.5 & 52265.2 & 641.292 & -75.5417 \tabularnewline
34 & 51881 & 51829.2 & 52566.9 & -737.642 & 51.7667 \tabularnewline
35 & 51382 & 51167.8 & 52899.9 & -1732.03 & 214.158 \tabularnewline
36 & 53000 & 52857 & 53235.4 & -378.442 & 143.025 \tabularnewline
37 & 54365 & 54812.6 & 53571.4 & 1241.19 & -447.567 \tabularnewline
38 & 53815 & 54061.8 & 53925.3 & 136.492 & -246.783 \tabularnewline
39 & 53107 & 53442.8 & 54346.9 & -904.158 & -335.758 \tabularnewline
40 & 53031 & 53165.1 & 54807.9 & -1642.77 & -134.108 \tabularnewline
41 & 52419 & 52474.6 & 55258.9 & -2784.24 & -55.6333 \tabularnewline
42 & 53378 & 53783.4 & 55707.2 & -1923.77 & -405.442 \tabularnewline
43 & 59398 & 59950.1 & 56190 & 3760.09 & -552.133 \tabularnewline
44 & 60706 & 61016.2 & 56692.2 & 4323.98 & -310.233 \tabularnewline
45 & 58531 & 57811.9 & 57170.6 & 641.292 & 719.125 \tabularnewline
46 & 57244 & 56870.4 & 57608 & -737.642 & 373.642 \tabularnewline
47 & 56843 & 56244.7 & 57976.8 & -1732.03 & 598.283 \tabularnewline
48 & 58299 & 57945.6 & 58324 & -378.442 & 353.442 \tabularnewline
49 & 60654 & 59869.9 & 58628.7 & 1241.19 & 784.142 \tabularnewline
50 & 59579 & 58983.1 & 58846.6 & 136.492 & 595.925 \tabularnewline
51 & 58823 & 58084.6 & 58988.7 & -904.158 & 738.45 \tabularnewline
52 & 57813 & 57458.4 & 59101.2 & -1642.77 & 354.6 \tabularnewline
53 & 56487 & 56405 & 59189.2 & -2784.24 & 81.9917 \tabularnewline
54 & 57644 & 57275.1 & 59198.9 & -1923.77 & 368.892 \tabularnewline
55 & 62444 & 62901.1 & 59141 & 3760.09 & -457.092 \tabularnewline
56 & 62890 & 63373.6 & 59049.7 & 4323.98 & -483.65 \tabularnewline
57 & 59758 & 59578.5 & 58937.2 & 641.292 & 179.542 \tabularnewline
58 & 58716 & 58083.7 & 58821.4 & -737.642 & 632.267 \tabularnewline
59 & 57485 & 56981.4 & 58713.4 & -1732.03 & 503.617 \tabularnewline
60 & 57888 & 58221.9 & 58600.4 & -378.442 & -333.933 \tabularnewline
61 & 59676 & 59712.7 & 58471.5 & 1241.19 & -36.6917 \tabularnewline
62 & 58365 & 58475.7 & 58339.2 & 136.492 & -110.7 \tabularnewline
63 & 57337 & 57296 & 58200.2 & -904.158 & 40.95 \tabularnewline
64 & 56520 & 56399.8 & 58042.6 & -1642.77 & 120.183 \tabularnewline
65 & 55189 & 55108 & 57892.2 & -2784.24 & 81.0333 \tabularnewline
66 & 56229 & 55860.1 & 57783.9 & -1923.77 & 368.892 \tabularnewline
67 & 60766 & NA & NA & 3760.09 & NA \tabularnewline
68 & 61393 & NA & NA & 4323.98 & NA \tabularnewline
69 & 57919 & NA & NA & 641.292 & NA \tabularnewline
70 & 56772 & NA & NA & -737.642 & NA \tabularnewline
71 & 55820 & NA & NA & -1732.03 & NA \tabularnewline
72 & 56953 & NA & NA & -378.442 & 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]1241.19[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]53982[/C][C]NA[/C][C]NA[/C][C]136.492[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]52301[/C][C]NA[/C][C]NA[/C][C]-904.158[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]51652[/C][C]NA[/C][C]NA[/C][C]-1642.77[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]50338[/C][C]NA[/C][C]NA[/C][C]-2784.24[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]51959[/C][C]NA[/C][C]NA[/C][C]-1923.77[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]57648[/C][C]56549.5[/C][C]52789.4[/C][C]3760.09[/C][C]1098.53[/C][/ROW]
[ROW][C]8[/C][C]57803[/C][C]56839.2[/C][C]52515.2[/C][C]4323.98[/C][C]963.808[/C][/ROW]
[ROW][C]9[/C][C]52599[/C][C]52887.3[/C][C]52246[/C][C]641.292[/C][C]-288.333[/C][/ROW]
[ROW][C]10[/C][C]51123[/C][C]51261.3[/C][C]51998.9[/C][C]-737.642[/C][C]-138.275[/C][/ROW]
[ROW][C]11[/C][C]49604[/C][C]50025[/C][C]51757.1[/C][C]-1732.03[/C][C]-421.05[/C][/ROW]
[ROW][C]12[/C][C]51154[/C][C]51099.7[/C][C]51478.2[/C][C]-378.442[/C][C]54.275[/C][/ROW]
[ROW][C]13[/C][C]51765[/C][C]52405.6[/C][C]51164.4[/C][C]1241.19[/C][C]-640.608[/C][/ROW]
[ROW][C]14[/C][C]50491[/C][C]51001.7[/C][C]50865.2[/C][C]136.492[/C][C]-510.7[/C][/ROW]
[ROW][C]15[/C][C]49332[/C][C]49717[/C][C]50621.2[/C][C]-904.158[/C][C]-385.05[/C][/ROW]
[ROW][C]16[/C][C]48690[/C][C]48771.9[/C][C]50414.7[/C][C]-1642.77[/C][C]-81.9[/C][/ROW]
[ROW][C]17[/C][C]47496[/C][C]47438.5[/C][C]50222.8[/C][C]-2784.24[/C][C]57.4917[/C][/ROW]
[ROW][C]18[/C][C]48107[/C][C]48155.9[/C][C]50079.7[/C][C]-1923.77[/C][C]-48.9417[/C][/ROW]
[ROW][C]19[/C][C]53970[/C][C]53790.4[/C][C]50030.3[/C][C]3760.09[/C][C]179.617[/C][/ROW]
[ROW][C]20[/C][C]54300[/C][C]54384.7[/C][C]50060.7[/C][C]4323.98[/C][C]-84.6917[/C][/ROW]
[ROW][C]21[/C][C]50246[/C][C]50741.5[/C][C]50100.2[/C][C]641.292[/C][C]-495.5[/C][/ROW]
[ROW][C]22[/C][C]48519[/C][C]49399.1[/C][C]50136.7[/C][C]-737.642[/C][C]-880.108[/C][/ROW]
[ROW][C]23[/C][C]47602[/C][C]48457.7[/C][C]50189.7[/C][C]-1732.03[/C][C]-855.717[/C][/ROW]
[ROW][C]24[/C][C]49723[/C][C]49900.5[/C][C]50279[/C][C]-378.442[/C][C]-177.517[/C][/ROW]
[ROW][C]25[/C][C]52010[/C][C]51630[/C][C]50388.8[/C][C]1241.19[/C][C]380.017[/C][/ROW]
[ROW][C]26[/C][C]50976[/C][C]50664.5[/C][C]50528[/C][C]136.492[/C][C]311.55[/C][/ROW]
[ROW][C]27[/C][C]49795[/C][C]49814.3[/C][C]50718.5[/C][C]-904.158[/C][C]-19.3[/C][/ROW]
[ROW][C]28[/C][C]49104[/C][C]49323.5[/C][C]50966.2[/C][C]-1642.77[/C][C]-219.483[/C][/ROW]
[ROW][C]29[/C][C]48354[/C][C]48479.6[/C][C]51263.8[/C][C]-2784.24[/C][C]-125.592[/C][/ROW]
[ROW][C]30[/C][C]49390[/C][C]49634.1[/C][C]51557.9[/C][C]-1923.77[/C][C]-244.108[/C][/ROW]
[ROW][C]31[/C][C]55323[/C][C]55552.6[/C][C]51792.5[/C][C]3760.09[/C][C]-229.633[/C][/ROW]
[ROW][C]32[/C][C]56287[/C][C]56332.9[/C][C]52009[/C][C]4323.98[/C][C]-45.9417[/C][/ROW]
[ROW][C]33[/C][C]52831[/C][C]52906.5[/C][C]52265.2[/C][C]641.292[/C][C]-75.5417[/C][/ROW]
[ROW][C]34[/C][C]51881[/C][C]51829.2[/C][C]52566.9[/C][C]-737.642[/C][C]51.7667[/C][/ROW]
[ROW][C]35[/C][C]51382[/C][C]51167.8[/C][C]52899.9[/C][C]-1732.03[/C][C]214.158[/C][/ROW]
[ROW][C]36[/C][C]53000[/C][C]52857[/C][C]53235.4[/C][C]-378.442[/C][C]143.025[/C][/ROW]
[ROW][C]37[/C][C]54365[/C][C]54812.6[/C][C]53571.4[/C][C]1241.19[/C][C]-447.567[/C][/ROW]
[ROW][C]38[/C][C]53815[/C][C]54061.8[/C][C]53925.3[/C][C]136.492[/C][C]-246.783[/C][/ROW]
[ROW][C]39[/C][C]53107[/C][C]53442.8[/C][C]54346.9[/C][C]-904.158[/C][C]-335.758[/C][/ROW]
[ROW][C]40[/C][C]53031[/C][C]53165.1[/C][C]54807.9[/C][C]-1642.77[/C][C]-134.108[/C][/ROW]
[ROW][C]41[/C][C]52419[/C][C]52474.6[/C][C]55258.9[/C][C]-2784.24[/C][C]-55.6333[/C][/ROW]
[ROW][C]42[/C][C]53378[/C][C]53783.4[/C][C]55707.2[/C][C]-1923.77[/C][C]-405.442[/C][/ROW]
[ROW][C]43[/C][C]59398[/C][C]59950.1[/C][C]56190[/C][C]3760.09[/C][C]-552.133[/C][/ROW]
[ROW][C]44[/C][C]60706[/C][C]61016.2[/C][C]56692.2[/C][C]4323.98[/C][C]-310.233[/C][/ROW]
[ROW][C]45[/C][C]58531[/C][C]57811.9[/C][C]57170.6[/C][C]641.292[/C][C]719.125[/C][/ROW]
[ROW][C]46[/C][C]57244[/C][C]56870.4[/C][C]57608[/C][C]-737.642[/C][C]373.642[/C][/ROW]
[ROW][C]47[/C][C]56843[/C][C]56244.7[/C][C]57976.8[/C][C]-1732.03[/C][C]598.283[/C][/ROW]
[ROW][C]48[/C][C]58299[/C][C]57945.6[/C][C]58324[/C][C]-378.442[/C][C]353.442[/C][/ROW]
[ROW][C]49[/C][C]60654[/C][C]59869.9[/C][C]58628.7[/C][C]1241.19[/C][C]784.142[/C][/ROW]
[ROW][C]50[/C][C]59579[/C][C]58983.1[/C][C]58846.6[/C][C]136.492[/C][C]595.925[/C][/ROW]
[ROW][C]51[/C][C]58823[/C][C]58084.6[/C][C]58988.7[/C][C]-904.158[/C][C]738.45[/C][/ROW]
[ROW][C]52[/C][C]57813[/C][C]57458.4[/C][C]59101.2[/C][C]-1642.77[/C][C]354.6[/C][/ROW]
[ROW][C]53[/C][C]56487[/C][C]56405[/C][C]59189.2[/C][C]-2784.24[/C][C]81.9917[/C][/ROW]
[ROW][C]54[/C][C]57644[/C][C]57275.1[/C][C]59198.9[/C][C]-1923.77[/C][C]368.892[/C][/ROW]
[ROW][C]55[/C][C]62444[/C][C]62901.1[/C][C]59141[/C][C]3760.09[/C][C]-457.092[/C][/ROW]
[ROW][C]56[/C][C]62890[/C][C]63373.6[/C][C]59049.7[/C][C]4323.98[/C][C]-483.65[/C][/ROW]
[ROW][C]57[/C][C]59758[/C][C]59578.5[/C][C]58937.2[/C][C]641.292[/C][C]179.542[/C][/ROW]
[ROW][C]58[/C][C]58716[/C][C]58083.7[/C][C]58821.4[/C][C]-737.642[/C][C]632.267[/C][/ROW]
[ROW][C]59[/C][C]57485[/C][C]56981.4[/C][C]58713.4[/C][C]-1732.03[/C][C]503.617[/C][/ROW]
[ROW][C]60[/C][C]57888[/C][C]58221.9[/C][C]58600.4[/C][C]-378.442[/C][C]-333.933[/C][/ROW]
[ROW][C]61[/C][C]59676[/C][C]59712.7[/C][C]58471.5[/C][C]1241.19[/C][C]-36.6917[/C][/ROW]
[ROW][C]62[/C][C]58365[/C][C]58475.7[/C][C]58339.2[/C][C]136.492[/C][C]-110.7[/C][/ROW]
[ROW][C]63[/C][C]57337[/C][C]57296[/C][C]58200.2[/C][C]-904.158[/C][C]40.95[/C][/ROW]
[ROW][C]64[/C][C]56520[/C][C]56399.8[/C][C]58042.6[/C][C]-1642.77[/C][C]120.183[/C][/ROW]
[ROW][C]65[/C][C]55189[/C][C]55108[/C][C]57892.2[/C][C]-2784.24[/C][C]81.0333[/C][/ROW]
[ROW][C]66[/C][C]56229[/C][C]55860.1[/C][C]57783.9[/C][C]-1923.77[/C][C]368.892[/C][/ROW]
[ROW][C]67[/C][C]60766[/C][C]NA[/C][C]NA[/C][C]3760.09[/C][C]NA[/C][/ROW]
[ROW][C]68[/C][C]61393[/C][C]NA[/C][C]NA[/C][C]4323.98[/C][C]NA[/C][/ROW]
[ROW][C]69[/C][C]57919[/C][C]NA[/C][C]NA[/C][C]641.292[/C][C]NA[/C][/ROW]
[ROW][C]70[/C][C]56772[/C][C]NA[/C][C]NA[/C][C]-737.642[/C][C]NA[/C][/ROW]
[ROW][C]71[/C][C]55820[/C][C]NA[/C][C]NA[/C][C]-1732.03[/C][C]NA[/C][/ROW]
[ROW][C]72[/C][C]56953[/C][C]NA[/C][C]NA[/C][C]-378.442[/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
154854NANA1241.19NA
253982NANA136.492NA
352301NANA-904.158NA
451652NANA-1642.77NA
550338NANA-2784.24NA
651959NANA-1923.77NA
75764856549.552789.43760.091098.53
85780356839.252515.24323.98963.808
95259952887.352246641.292-288.333
105112351261.351998.9-737.642-138.275
11496045002551757.1-1732.03-421.05
125115451099.751478.2-378.44254.275
135176552405.651164.41241.19-640.608
145049151001.750865.2136.492-510.7
15493324971750621.2-904.158-385.05
164869048771.950414.7-1642.77-81.9
174749647438.550222.8-2784.2457.4917
184810748155.950079.7-1923.77-48.9417
195397053790.450030.33760.09179.617
205430054384.750060.74323.98-84.6917
215024650741.550100.2641.292-495.5
224851949399.150136.7-737.642-880.108
234760248457.750189.7-1732.03-855.717
244972349900.550279-378.442-177.517
25520105163050388.81241.19380.017
265097650664.550528136.492311.55
274979549814.350718.5-904.158-19.3
284910449323.550966.2-1642.77-219.483
294835448479.651263.8-2784.24-125.592
304939049634.151557.9-1923.77-244.108
315532355552.651792.53760.09-229.633
325628756332.9520094323.98-45.9417
335283152906.552265.2641.292-75.5417
345188151829.252566.9-737.64251.7667
355138251167.852899.9-1732.03214.158
36530005285753235.4-378.442143.025
375436554812.653571.41241.19-447.567
385381554061.853925.3136.492-246.783
395310753442.854346.9-904.158-335.758
405303153165.154807.9-1642.77-134.108
415241952474.655258.9-2784.24-55.6333
425337853783.455707.2-1923.77-405.442
435939859950.1561903760.09-552.133
446070661016.256692.24323.98-310.233
455853157811.957170.6641.292719.125
465724456870.457608-737.642373.642
475684356244.757976.8-1732.03598.283
485829957945.658324-378.442353.442
496065459869.958628.71241.19784.142
505957958983.158846.6136.492595.925
515882358084.658988.7-904.158738.45
525781357458.459101.2-1642.77354.6
53564875640559189.2-2784.2481.9917
545764457275.159198.9-1923.77368.892
556244462901.1591413760.09-457.092
566289063373.659049.74323.98-483.65
575975859578.558937.2641.292179.542
585871658083.758821.4-737.642632.267
595748556981.458713.4-1732.03503.617
605788858221.958600.4-378.442-333.933
615967659712.758471.51241.19-36.6917
625836558475.758339.2136.492-110.7
63573375729658200.2-904.15840.95
645652056399.858042.6-1642.77120.183
65551895510857892.2-2784.2481.0333
665622955860.157783.9-1923.77368.892
6760766NANA3760.09NA
6861393NANA4323.98NA
6957919NANA641.292NA
7056772NANA-737.642NA
7155820NANA-1732.03NA
7256953NANA-378.442NA



Parameters (Session):
par1 = additive ; par2 = 12 ;
Parameters (R input):
par1 = additive ; par2 = 12 ;
R code (references can be found in the software module):
par2 <- '12'
par1 <- 'multiplicative'
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')