Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationSun, 21 Dec 2014 17:22:26 +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/2014/Dec/21/t1419182572k1hfp3bkz3beloo.htm/, Retrieved Thu, 16 May 2024 09:04:20 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=271379, Retrieved Thu, 16 May 2024 09:04:20 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact145
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [] [2014-12-21 17:22:26] [11722998b98bb8551244d4a68b29baca] [Current]
Feedback Forum

Post a new message
Dataseries X:
15.579
16.348
15.928
16.171
15.937
15.713
15.594
15.683
16.438
17.032
17.696
17.745
19.394
20.148
20.108
18.584
18.441
18.391
19.178
18.079
18.483
19.644
19.195
19.650
20.830
23.595
22.937
21.814
21.928
21.777
21.383
21.467
22.052
22.680
24.320
24.977
25.204
25.739
26.434
27.525
30.695
32.436
30.160
30.236
31.293
31.077
32.226
33.865
32.810
32.242
32.700
32.819
33.947
34.148
35.261
39.506
41.591
39.148
41.216
40.225
41.126
42.362
40.740
40.256
39.804
41.002
41.702
42.254
43.605
43.271
43.221
41.373
40.435
39.217
39.457
36.710
34.977
32.729
31.584
32.510
32.565
30.988
30.383
28.673




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=271379&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=271379&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=271379&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
115.579NANA1.01701NA
216.348NANA1.03641NA
315.928NANA1.02214NA
416.171NANA0.984161NA
515.937NANA0.990292NA
615.713NANA0.986447NA
715.59416.072416.4810.9752080.970237
815.68316.400716.79820.9763310.956242
916.43817.118517.13080.9992820.96025
1017.03217.307417.40550.9943670.984087
1117.69617.819817.61031.01190.993051
1217.74517.941217.82621.006450.989062
1319.39418.394918.08721.017011.05431
1420.14819.00418.33631.036411.0602
1520.10818.931518.52141.022141.06215
1618.58418.41918.71540.9841611.00896
1718.44118.703418.88670.9902920.985973
1818.39118.770619.02850.9864470.979775
1919.17818.692519.16770.9752081.02597
2018.07918.912719.37120.9763310.955918
2118.48319.618619.63270.9992820.942115
2219.64419.773119.88520.9943670.993468
2319.19520.404920.1651.01190.940704
2419.6520.583320.45141.006450.954655
2520.8321.036320.68441.017010.990193
2623.59521.67920.91741.036411.08838
2722.93721.676821.20731.022141.05813
2821.81421.142221.48250.9841611.03177
2921.92821.610721.82250.9902921.01468
3021.77721.956422.2580.9864470.991831
3121.38322.100422.66220.9752080.967539
3221.46722.39122.93380.9763310.958733
3322.05223.152223.16890.9992820.952478
3422.6823.419923.55250.9943670.968409
3524.3224.443224.15581.01190.994962
3624.97725.126324.96521.006450.99406
3725.20426.213625.7751.017010.961486
3825.73927.471226.50611.036410.936945
3926.43427.8627.25651.022140.948814
4027.52527.548127.99150.9841610.999161
4130.69528.392428.67080.9902921.0811
4232.43628.972429.37050.9864471.11955
4330.1629.312630.05780.9752081.02891
4430.23629.920330.64560.9763311.01055
4531.29331.155331.17770.9992821.00442
4631.07731.48131.65930.9943670.987167
4732.22632.396332.01541.01190.994744
4833.86532.430132.22221.006451.04425
4932.8133.059232.50611.017010.992462
5032.24234.310333.10491.036410.939719
5132.734.671333.92021.022140.943144
5232.81934.136334.68560.9841610.961412
5333.94735.052935.39650.9902920.968451
5434.14835.547736.03610.9864470.960626
5535.26135.73936.64760.9752080.986625
5639.50636.530237.41580.9763311.08146
5741.59138.14538.17240.9992821.09034
5839.14838.598638.81730.9943671.01423
5941.21639.839639.37121.01191.03455
6040.22540.158239.90081.006451.00166
6141.12641.143140.45481.017010.999584
6242.36242.324640.83771.036411.00088
6340.7441.944741.03611.022140.97128
6440.25640.637841.29180.9841610.990605
6539.80441.143841.54710.9902920.967437
6641.00241.113641.67850.9864470.997285
6741.70240.663841.69750.9752081.02553
6842.25440.554641.53770.9763311.04191
6943.60541.323541.35320.9992821.05521
7043.27140.920241.1520.9943671.05745
7143.22141.288540.80311.01191.0468
7241.37340.51740.25731.006451.02113
7340.43540.162939.4911.017011.00677
7439.21740.071138.66341.036410.978684
7539.45738.634337.79741.022141.02129
7636.7136.242436.82560.9841611.0129
7734.97735.431635.77890.9902920.98717
7832.72934.244334.71480.9864470.95575
7931.584NANA0.975208NA
8032.51NANA0.976331NA
8132.565NANA0.999282NA
8230.988NANA0.994367NA
8330.383NANA1.0119NA
8428.673NANA1.00645NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 15.579 & NA & NA & 1.01701 & NA \tabularnewline
2 & 16.348 & NA & NA & 1.03641 & NA \tabularnewline
3 & 15.928 & NA & NA & 1.02214 & NA \tabularnewline
4 & 16.171 & NA & NA & 0.984161 & NA \tabularnewline
5 & 15.937 & NA & NA & 0.990292 & NA \tabularnewline
6 & 15.713 & NA & NA & 0.986447 & NA \tabularnewline
7 & 15.594 & 16.0724 & 16.481 & 0.975208 & 0.970237 \tabularnewline
8 & 15.683 & 16.4007 & 16.7982 & 0.976331 & 0.956242 \tabularnewline
9 & 16.438 & 17.1185 & 17.1308 & 0.999282 & 0.96025 \tabularnewline
10 & 17.032 & 17.3074 & 17.4055 & 0.994367 & 0.984087 \tabularnewline
11 & 17.696 & 17.8198 & 17.6103 & 1.0119 & 0.993051 \tabularnewline
12 & 17.745 & 17.9412 & 17.8262 & 1.00645 & 0.989062 \tabularnewline
13 & 19.394 & 18.3949 & 18.0872 & 1.01701 & 1.05431 \tabularnewline
14 & 20.148 & 19.004 & 18.3363 & 1.03641 & 1.0602 \tabularnewline
15 & 20.108 & 18.9315 & 18.5214 & 1.02214 & 1.06215 \tabularnewline
16 & 18.584 & 18.419 & 18.7154 & 0.984161 & 1.00896 \tabularnewline
17 & 18.441 & 18.7034 & 18.8867 & 0.990292 & 0.985973 \tabularnewline
18 & 18.391 & 18.7706 & 19.0285 & 0.986447 & 0.979775 \tabularnewline
19 & 19.178 & 18.6925 & 19.1677 & 0.975208 & 1.02597 \tabularnewline
20 & 18.079 & 18.9127 & 19.3712 & 0.976331 & 0.955918 \tabularnewline
21 & 18.483 & 19.6186 & 19.6327 & 0.999282 & 0.942115 \tabularnewline
22 & 19.644 & 19.7731 & 19.8852 & 0.994367 & 0.993468 \tabularnewline
23 & 19.195 & 20.4049 & 20.165 & 1.0119 & 0.940704 \tabularnewline
24 & 19.65 & 20.5833 & 20.4514 & 1.00645 & 0.954655 \tabularnewline
25 & 20.83 & 21.0363 & 20.6844 & 1.01701 & 0.990193 \tabularnewline
26 & 23.595 & 21.679 & 20.9174 & 1.03641 & 1.08838 \tabularnewline
27 & 22.937 & 21.6768 & 21.2073 & 1.02214 & 1.05813 \tabularnewline
28 & 21.814 & 21.1422 & 21.4825 & 0.984161 & 1.03177 \tabularnewline
29 & 21.928 & 21.6107 & 21.8225 & 0.990292 & 1.01468 \tabularnewline
30 & 21.777 & 21.9564 & 22.258 & 0.986447 & 0.991831 \tabularnewline
31 & 21.383 & 22.1004 & 22.6622 & 0.975208 & 0.967539 \tabularnewline
32 & 21.467 & 22.391 & 22.9338 & 0.976331 & 0.958733 \tabularnewline
33 & 22.052 & 23.1522 & 23.1689 & 0.999282 & 0.952478 \tabularnewline
34 & 22.68 & 23.4199 & 23.5525 & 0.994367 & 0.968409 \tabularnewline
35 & 24.32 & 24.4432 & 24.1558 & 1.0119 & 0.994962 \tabularnewline
36 & 24.977 & 25.1263 & 24.9652 & 1.00645 & 0.99406 \tabularnewline
37 & 25.204 & 26.2136 & 25.775 & 1.01701 & 0.961486 \tabularnewline
38 & 25.739 & 27.4712 & 26.5061 & 1.03641 & 0.936945 \tabularnewline
39 & 26.434 & 27.86 & 27.2565 & 1.02214 & 0.948814 \tabularnewline
40 & 27.525 & 27.5481 & 27.9915 & 0.984161 & 0.999161 \tabularnewline
41 & 30.695 & 28.3924 & 28.6708 & 0.990292 & 1.0811 \tabularnewline
42 & 32.436 & 28.9724 & 29.3705 & 0.986447 & 1.11955 \tabularnewline
43 & 30.16 & 29.3126 & 30.0578 & 0.975208 & 1.02891 \tabularnewline
44 & 30.236 & 29.9203 & 30.6456 & 0.976331 & 1.01055 \tabularnewline
45 & 31.293 & 31.1553 & 31.1777 & 0.999282 & 1.00442 \tabularnewline
46 & 31.077 & 31.481 & 31.6593 & 0.994367 & 0.987167 \tabularnewline
47 & 32.226 & 32.3963 & 32.0154 & 1.0119 & 0.994744 \tabularnewline
48 & 33.865 & 32.4301 & 32.2222 & 1.00645 & 1.04425 \tabularnewline
49 & 32.81 & 33.0592 & 32.5061 & 1.01701 & 0.992462 \tabularnewline
50 & 32.242 & 34.3103 & 33.1049 & 1.03641 & 0.939719 \tabularnewline
51 & 32.7 & 34.6713 & 33.9202 & 1.02214 & 0.943144 \tabularnewline
52 & 32.819 & 34.1363 & 34.6856 & 0.984161 & 0.961412 \tabularnewline
53 & 33.947 & 35.0529 & 35.3965 & 0.990292 & 0.968451 \tabularnewline
54 & 34.148 & 35.5477 & 36.0361 & 0.986447 & 0.960626 \tabularnewline
55 & 35.261 & 35.739 & 36.6476 & 0.975208 & 0.986625 \tabularnewline
56 & 39.506 & 36.5302 & 37.4158 & 0.976331 & 1.08146 \tabularnewline
57 & 41.591 & 38.145 & 38.1724 & 0.999282 & 1.09034 \tabularnewline
58 & 39.148 & 38.5986 & 38.8173 & 0.994367 & 1.01423 \tabularnewline
59 & 41.216 & 39.8396 & 39.3712 & 1.0119 & 1.03455 \tabularnewline
60 & 40.225 & 40.1582 & 39.9008 & 1.00645 & 1.00166 \tabularnewline
61 & 41.126 & 41.1431 & 40.4548 & 1.01701 & 0.999584 \tabularnewline
62 & 42.362 & 42.3246 & 40.8377 & 1.03641 & 1.00088 \tabularnewline
63 & 40.74 & 41.9447 & 41.0361 & 1.02214 & 0.97128 \tabularnewline
64 & 40.256 & 40.6378 & 41.2918 & 0.984161 & 0.990605 \tabularnewline
65 & 39.804 & 41.1438 & 41.5471 & 0.990292 & 0.967437 \tabularnewline
66 & 41.002 & 41.1136 & 41.6785 & 0.986447 & 0.997285 \tabularnewline
67 & 41.702 & 40.6638 & 41.6975 & 0.975208 & 1.02553 \tabularnewline
68 & 42.254 & 40.5546 & 41.5377 & 0.976331 & 1.04191 \tabularnewline
69 & 43.605 & 41.3235 & 41.3532 & 0.999282 & 1.05521 \tabularnewline
70 & 43.271 & 40.9202 & 41.152 & 0.994367 & 1.05745 \tabularnewline
71 & 43.221 & 41.2885 & 40.8031 & 1.0119 & 1.0468 \tabularnewline
72 & 41.373 & 40.517 & 40.2573 & 1.00645 & 1.02113 \tabularnewline
73 & 40.435 & 40.1629 & 39.491 & 1.01701 & 1.00677 \tabularnewline
74 & 39.217 & 40.0711 & 38.6634 & 1.03641 & 0.978684 \tabularnewline
75 & 39.457 & 38.6343 & 37.7974 & 1.02214 & 1.02129 \tabularnewline
76 & 36.71 & 36.2424 & 36.8256 & 0.984161 & 1.0129 \tabularnewline
77 & 34.977 & 35.4316 & 35.7789 & 0.990292 & 0.98717 \tabularnewline
78 & 32.729 & 34.2443 & 34.7148 & 0.986447 & 0.95575 \tabularnewline
79 & 31.584 & NA & NA & 0.975208 & NA \tabularnewline
80 & 32.51 & NA & NA & 0.976331 & NA \tabularnewline
81 & 32.565 & NA & NA & 0.999282 & NA \tabularnewline
82 & 30.988 & NA & NA & 0.994367 & NA \tabularnewline
83 & 30.383 & NA & NA & 1.0119 & NA \tabularnewline
84 & 28.673 & NA & NA & 1.00645 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=271379&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]15.579[/C][C]NA[/C][C]NA[/C][C]1.01701[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]16.348[/C][C]NA[/C][C]NA[/C][C]1.03641[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]15.928[/C][C]NA[/C][C]NA[/C][C]1.02214[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]16.171[/C][C]NA[/C][C]NA[/C][C]0.984161[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]15.937[/C][C]NA[/C][C]NA[/C][C]0.990292[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]15.713[/C][C]NA[/C][C]NA[/C][C]0.986447[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]15.594[/C][C]16.0724[/C][C]16.481[/C][C]0.975208[/C][C]0.970237[/C][/ROW]
[ROW][C]8[/C][C]15.683[/C][C]16.4007[/C][C]16.7982[/C][C]0.976331[/C][C]0.956242[/C][/ROW]
[ROW][C]9[/C][C]16.438[/C][C]17.1185[/C][C]17.1308[/C][C]0.999282[/C][C]0.96025[/C][/ROW]
[ROW][C]10[/C][C]17.032[/C][C]17.3074[/C][C]17.4055[/C][C]0.994367[/C][C]0.984087[/C][/ROW]
[ROW][C]11[/C][C]17.696[/C][C]17.8198[/C][C]17.6103[/C][C]1.0119[/C][C]0.993051[/C][/ROW]
[ROW][C]12[/C][C]17.745[/C][C]17.9412[/C][C]17.8262[/C][C]1.00645[/C][C]0.989062[/C][/ROW]
[ROW][C]13[/C][C]19.394[/C][C]18.3949[/C][C]18.0872[/C][C]1.01701[/C][C]1.05431[/C][/ROW]
[ROW][C]14[/C][C]20.148[/C][C]19.004[/C][C]18.3363[/C][C]1.03641[/C][C]1.0602[/C][/ROW]
[ROW][C]15[/C][C]20.108[/C][C]18.9315[/C][C]18.5214[/C][C]1.02214[/C][C]1.06215[/C][/ROW]
[ROW][C]16[/C][C]18.584[/C][C]18.419[/C][C]18.7154[/C][C]0.984161[/C][C]1.00896[/C][/ROW]
[ROW][C]17[/C][C]18.441[/C][C]18.7034[/C][C]18.8867[/C][C]0.990292[/C][C]0.985973[/C][/ROW]
[ROW][C]18[/C][C]18.391[/C][C]18.7706[/C][C]19.0285[/C][C]0.986447[/C][C]0.979775[/C][/ROW]
[ROW][C]19[/C][C]19.178[/C][C]18.6925[/C][C]19.1677[/C][C]0.975208[/C][C]1.02597[/C][/ROW]
[ROW][C]20[/C][C]18.079[/C][C]18.9127[/C][C]19.3712[/C][C]0.976331[/C][C]0.955918[/C][/ROW]
[ROW][C]21[/C][C]18.483[/C][C]19.6186[/C][C]19.6327[/C][C]0.999282[/C][C]0.942115[/C][/ROW]
[ROW][C]22[/C][C]19.644[/C][C]19.7731[/C][C]19.8852[/C][C]0.994367[/C][C]0.993468[/C][/ROW]
[ROW][C]23[/C][C]19.195[/C][C]20.4049[/C][C]20.165[/C][C]1.0119[/C][C]0.940704[/C][/ROW]
[ROW][C]24[/C][C]19.65[/C][C]20.5833[/C][C]20.4514[/C][C]1.00645[/C][C]0.954655[/C][/ROW]
[ROW][C]25[/C][C]20.83[/C][C]21.0363[/C][C]20.6844[/C][C]1.01701[/C][C]0.990193[/C][/ROW]
[ROW][C]26[/C][C]23.595[/C][C]21.679[/C][C]20.9174[/C][C]1.03641[/C][C]1.08838[/C][/ROW]
[ROW][C]27[/C][C]22.937[/C][C]21.6768[/C][C]21.2073[/C][C]1.02214[/C][C]1.05813[/C][/ROW]
[ROW][C]28[/C][C]21.814[/C][C]21.1422[/C][C]21.4825[/C][C]0.984161[/C][C]1.03177[/C][/ROW]
[ROW][C]29[/C][C]21.928[/C][C]21.6107[/C][C]21.8225[/C][C]0.990292[/C][C]1.01468[/C][/ROW]
[ROW][C]30[/C][C]21.777[/C][C]21.9564[/C][C]22.258[/C][C]0.986447[/C][C]0.991831[/C][/ROW]
[ROW][C]31[/C][C]21.383[/C][C]22.1004[/C][C]22.6622[/C][C]0.975208[/C][C]0.967539[/C][/ROW]
[ROW][C]32[/C][C]21.467[/C][C]22.391[/C][C]22.9338[/C][C]0.976331[/C][C]0.958733[/C][/ROW]
[ROW][C]33[/C][C]22.052[/C][C]23.1522[/C][C]23.1689[/C][C]0.999282[/C][C]0.952478[/C][/ROW]
[ROW][C]34[/C][C]22.68[/C][C]23.4199[/C][C]23.5525[/C][C]0.994367[/C][C]0.968409[/C][/ROW]
[ROW][C]35[/C][C]24.32[/C][C]24.4432[/C][C]24.1558[/C][C]1.0119[/C][C]0.994962[/C][/ROW]
[ROW][C]36[/C][C]24.977[/C][C]25.1263[/C][C]24.9652[/C][C]1.00645[/C][C]0.99406[/C][/ROW]
[ROW][C]37[/C][C]25.204[/C][C]26.2136[/C][C]25.775[/C][C]1.01701[/C][C]0.961486[/C][/ROW]
[ROW][C]38[/C][C]25.739[/C][C]27.4712[/C][C]26.5061[/C][C]1.03641[/C][C]0.936945[/C][/ROW]
[ROW][C]39[/C][C]26.434[/C][C]27.86[/C][C]27.2565[/C][C]1.02214[/C][C]0.948814[/C][/ROW]
[ROW][C]40[/C][C]27.525[/C][C]27.5481[/C][C]27.9915[/C][C]0.984161[/C][C]0.999161[/C][/ROW]
[ROW][C]41[/C][C]30.695[/C][C]28.3924[/C][C]28.6708[/C][C]0.990292[/C][C]1.0811[/C][/ROW]
[ROW][C]42[/C][C]32.436[/C][C]28.9724[/C][C]29.3705[/C][C]0.986447[/C][C]1.11955[/C][/ROW]
[ROW][C]43[/C][C]30.16[/C][C]29.3126[/C][C]30.0578[/C][C]0.975208[/C][C]1.02891[/C][/ROW]
[ROW][C]44[/C][C]30.236[/C][C]29.9203[/C][C]30.6456[/C][C]0.976331[/C][C]1.01055[/C][/ROW]
[ROW][C]45[/C][C]31.293[/C][C]31.1553[/C][C]31.1777[/C][C]0.999282[/C][C]1.00442[/C][/ROW]
[ROW][C]46[/C][C]31.077[/C][C]31.481[/C][C]31.6593[/C][C]0.994367[/C][C]0.987167[/C][/ROW]
[ROW][C]47[/C][C]32.226[/C][C]32.3963[/C][C]32.0154[/C][C]1.0119[/C][C]0.994744[/C][/ROW]
[ROW][C]48[/C][C]33.865[/C][C]32.4301[/C][C]32.2222[/C][C]1.00645[/C][C]1.04425[/C][/ROW]
[ROW][C]49[/C][C]32.81[/C][C]33.0592[/C][C]32.5061[/C][C]1.01701[/C][C]0.992462[/C][/ROW]
[ROW][C]50[/C][C]32.242[/C][C]34.3103[/C][C]33.1049[/C][C]1.03641[/C][C]0.939719[/C][/ROW]
[ROW][C]51[/C][C]32.7[/C][C]34.6713[/C][C]33.9202[/C][C]1.02214[/C][C]0.943144[/C][/ROW]
[ROW][C]52[/C][C]32.819[/C][C]34.1363[/C][C]34.6856[/C][C]0.984161[/C][C]0.961412[/C][/ROW]
[ROW][C]53[/C][C]33.947[/C][C]35.0529[/C][C]35.3965[/C][C]0.990292[/C][C]0.968451[/C][/ROW]
[ROW][C]54[/C][C]34.148[/C][C]35.5477[/C][C]36.0361[/C][C]0.986447[/C][C]0.960626[/C][/ROW]
[ROW][C]55[/C][C]35.261[/C][C]35.739[/C][C]36.6476[/C][C]0.975208[/C][C]0.986625[/C][/ROW]
[ROW][C]56[/C][C]39.506[/C][C]36.5302[/C][C]37.4158[/C][C]0.976331[/C][C]1.08146[/C][/ROW]
[ROW][C]57[/C][C]41.591[/C][C]38.145[/C][C]38.1724[/C][C]0.999282[/C][C]1.09034[/C][/ROW]
[ROW][C]58[/C][C]39.148[/C][C]38.5986[/C][C]38.8173[/C][C]0.994367[/C][C]1.01423[/C][/ROW]
[ROW][C]59[/C][C]41.216[/C][C]39.8396[/C][C]39.3712[/C][C]1.0119[/C][C]1.03455[/C][/ROW]
[ROW][C]60[/C][C]40.225[/C][C]40.1582[/C][C]39.9008[/C][C]1.00645[/C][C]1.00166[/C][/ROW]
[ROW][C]61[/C][C]41.126[/C][C]41.1431[/C][C]40.4548[/C][C]1.01701[/C][C]0.999584[/C][/ROW]
[ROW][C]62[/C][C]42.362[/C][C]42.3246[/C][C]40.8377[/C][C]1.03641[/C][C]1.00088[/C][/ROW]
[ROW][C]63[/C][C]40.74[/C][C]41.9447[/C][C]41.0361[/C][C]1.02214[/C][C]0.97128[/C][/ROW]
[ROW][C]64[/C][C]40.256[/C][C]40.6378[/C][C]41.2918[/C][C]0.984161[/C][C]0.990605[/C][/ROW]
[ROW][C]65[/C][C]39.804[/C][C]41.1438[/C][C]41.5471[/C][C]0.990292[/C][C]0.967437[/C][/ROW]
[ROW][C]66[/C][C]41.002[/C][C]41.1136[/C][C]41.6785[/C][C]0.986447[/C][C]0.997285[/C][/ROW]
[ROW][C]67[/C][C]41.702[/C][C]40.6638[/C][C]41.6975[/C][C]0.975208[/C][C]1.02553[/C][/ROW]
[ROW][C]68[/C][C]42.254[/C][C]40.5546[/C][C]41.5377[/C][C]0.976331[/C][C]1.04191[/C][/ROW]
[ROW][C]69[/C][C]43.605[/C][C]41.3235[/C][C]41.3532[/C][C]0.999282[/C][C]1.05521[/C][/ROW]
[ROW][C]70[/C][C]43.271[/C][C]40.9202[/C][C]41.152[/C][C]0.994367[/C][C]1.05745[/C][/ROW]
[ROW][C]71[/C][C]43.221[/C][C]41.2885[/C][C]40.8031[/C][C]1.0119[/C][C]1.0468[/C][/ROW]
[ROW][C]72[/C][C]41.373[/C][C]40.517[/C][C]40.2573[/C][C]1.00645[/C][C]1.02113[/C][/ROW]
[ROW][C]73[/C][C]40.435[/C][C]40.1629[/C][C]39.491[/C][C]1.01701[/C][C]1.00677[/C][/ROW]
[ROW][C]74[/C][C]39.217[/C][C]40.0711[/C][C]38.6634[/C][C]1.03641[/C][C]0.978684[/C][/ROW]
[ROW][C]75[/C][C]39.457[/C][C]38.6343[/C][C]37.7974[/C][C]1.02214[/C][C]1.02129[/C][/ROW]
[ROW][C]76[/C][C]36.71[/C][C]36.2424[/C][C]36.8256[/C][C]0.984161[/C][C]1.0129[/C][/ROW]
[ROW][C]77[/C][C]34.977[/C][C]35.4316[/C][C]35.7789[/C][C]0.990292[/C][C]0.98717[/C][/ROW]
[ROW][C]78[/C][C]32.729[/C][C]34.2443[/C][C]34.7148[/C][C]0.986447[/C][C]0.95575[/C][/ROW]
[ROW][C]79[/C][C]31.584[/C][C]NA[/C][C]NA[/C][C]0.975208[/C][C]NA[/C][/ROW]
[ROW][C]80[/C][C]32.51[/C][C]NA[/C][C]NA[/C][C]0.976331[/C][C]NA[/C][/ROW]
[ROW][C]81[/C][C]32.565[/C][C]NA[/C][C]NA[/C][C]0.999282[/C][C]NA[/C][/ROW]
[ROW][C]82[/C][C]30.988[/C][C]NA[/C][C]NA[/C][C]0.994367[/C][C]NA[/C][/ROW]
[ROW][C]83[/C][C]30.383[/C][C]NA[/C][C]NA[/C][C]1.0119[/C][C]NA[/C][/ROW]
[ROW][C]84[/C][C]28.673[/C][C]NA[/C][C]NA[/C][C]1.00645[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=271379&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=271379&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
115.579NANA1.01701NA
216.348NANA1.03641NA
315.928NANA1.02214NA
416.171NANA0.984161NA
515.937NANA0.990292NA
615.713NANA0.986447NA
715.59416.072416.4810.9752080.970237
815.68316.400716.79820.9763310.956242
916.43817.118517.13080.9992820.96025
1017.03217.307417.40550.9943670.984087
1117.69617.819817.61031.01190.993051
1217.74517.941217.82621.006450.989062
1319.39418.394918.08721.017011.05431
1420.14819.00418.33631.036411.0602
1520.10818.931518.52141.022141.06215
1618.58418.41918.71540.9841611.00896
1718.44118.703418.88670.9902920.985973
1818.39118.770619.02850.9864470.979775
1919.17818.692519.16770.9752081.02597
2018.07918.912719.37120.9763310.955918
2118.48319.618619.63270.9992820.942115
2219.64419.773119.88520.9943670.993468
2319.19520.404920.1651.01190.940704
2419.6520.583320.45141.006450.954655
2520.8321.036320.68441.017010.990193
2623.59521.67920.91741.036411.08838
2722.93721.676821.20731.022141.05813
2821.81421.142221.48250.9841611.03177
2921.92821.610721.82250.9902921.01468
3021.77721.956422.2580.9864470.991831
3121.38322.100422.66220.9752080.967539
3221.46722.39122.93380.9763310.958733
3322.05223.152223.16890.9992820.952478
3422.6823.419923.55250.9943670.968409
3524.3224.443224.15581.01190.994962
3624.97725.126324.96521.006450.99406
3725.20426.213625.7751.017010.961486
3825.73927.471226.50611.036410.936945
3926.43427.8627.25651.022140.948814
4027.52527.548127.99150.9841610.999161
4130.69528.392428.67080.9902921.0811
4232.43628.972429.37050.9864471.11955
4330.1629.312630.05780.9752081.02891
4430.23629.920330.64560.9763311.01055
4531.29331.155331.17770.9992821.00442
4631.07731.48131.65930.9943670.987167
4732.22632.396332.01541.01190.994744
4833.86532.430132.22221.006451.04425
4932.8133.059232.50611.017010.992462
5032.24234.310333.10491.036410.939719
5132.734.671333.92021.022140.943144
5232.81934.136334.68560.9841610.961412
5333.94735.052935.39650.9902920.968451
5434.14835.547736.03610.9864470.960626
5535.26135.73936.64760.9752080.986625
5639.50636.530237.41580.9763311.08146
5741.59138.14538.17240.9992821.09034
5839.14838.598638.81730.9943671.01423
5941.21639.839639.37121.01191.03455
6040.22540.158239.90081.006451.00166
6141.12641.143140.45481.017010.999584
6242.36242.324640.83771.036411.00088
6340.7441.944741.03611.022140.97128
6440.25640.637841.29180.9841610.990605
6539.80441.143841.54710.9902920.967437
6641.00241.113641.67850.9864470.997285
6741.70240.663841.69750.9752081.02553
6842.25440.554641.53770.9763311.04191
6943.60541.323541.35320.9992821.05521
7043.27140.920241.1520.9943671.05745
7143.22141.288540.80311.01191.0468
7241.37340.51740.25731.006451.02113
7340.43540.162939.4911.017011.00677
7439.21740.071138.66341.036410.978684
7539.45738.634337.79741.022141.02129
7636.7136.242436.82560.9841611.0129
7734.97735.431635.77890.9902920.98717
7832.72934.244334.71480.9864470.95575
7931.584NANA0.975208NA
8032.51NANA0.976331NA
8132.565NANA0.999282NA
8230.988NANA0.994367NA
8330.383NANA1.0119NA
8428.673NANA1.00645NA



Parameters (Session):
par1 = multiplicative ; par2 = 12 ;
Parameters (R input):
par1 = multiplicative ; 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')