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Author*The author of this computation has been verified*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationMon, 19 Dec 2016 11:52:51 +0100
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/Dec/19/t14821448515aqdsed2kl77c5m.htm/, Retrieved Fri, 17 May 2024 01:20:15 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=301288, Retrieved Fri, 17 May 2024 01:20:15 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact132
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [Classical Decompo...] [2016-12-19 10:52:51] [2e2b863c9581eba851d0277c64dc678f] [Current]
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Dataseries X:
5900
6350
8520
6600
4920
4990
3890
5110
6730
7380
6600
6540
6120
5640
6850
6620
6020
5830
5050
5590
6150
5410
5420
5500
4030
5690
6680
4950
5290
6720
4580
4500
5350
4890
5160
5040
4980
5480
5620
4790
4880
4790
4400
5170
6100
5420
5450
4750
4620
4600
3960
4270
4610
4050
4430
4660
5570
5360
5070
5390
3380
4360
3820
3990
5560
6230
6240
6320
6890
6000
6160
6430
6090
5550
5740
6790
6390
6510
6340
8750
7620
6380
5820
5930
5560
5960
4910
4000
5250
4650
4280
4760
7000
6770
6330
7750
6090
6560
8550
7050
7490
7800
6160
5040
6700
7650
5980
5530
5940
5830
7130
5790
4960
4900
4330
5100
6160
7850
5570
5860
7250




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time2 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=301288&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]2 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=301288&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=301288&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 Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R ServerBig Analytics Cloud Computing Center







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
15900NANA-468.159NA
26350NANA-152.372NA
38520NANA249.203NA
46600NANA-307.001NA
54920NANA-59.9641NA
64990NANA62.397NA
738905400.536136.67-736.135-1510.53
851105970.226116.25-146.029-860.221
967306792.126017.08775.036-62.1192
1073806416.895948.33468.554963.112
1166006103.795995108.786496.214
1265406281.526075.83205.684258.483
1361205691.016159.17-468.159428.992
1456406075.136227.5-152.372-435.128
1568506472.546223.33249.203377.464
1666205810.086117.08-307.001809.918
1760205925.875985.83-59.964194.1308
1858305955.735893.3362.397-125.73
1950505026.785762.92-736.13523.2188
2055905531.895677.92-146.02958.1123
2161506447.955672.92775.036-297.953
2254106064.85596.25468.554-654.804
2354205605.045496.25108.786-185.036
2455005708.65502.92205.684-208.601
2540305052.265520.42-468.159-1022.26
2656905303.055455.42-152.372386.955
2766805625.875376.67249.2031054.13
2849505014.675321.67-307.001-64.6655
2952905229.25289.17-59.964160.7975
3067205321.565259.1762.3971398.44
3145804543.455279.58-736.13536.5521
3245005164.395310.42-146.029-664.388
3353506032.545257.5775.036-682.536
3448905675.225206.67468.554-785.221
3551605291.75182.92108.786-131.703
3650405291.15085.42205.684-251.101
3749804529.344997.5-468.159450.659
3854804865.555017.92-152.372614.455
3956205326.295077.08249.203293.714
4047904823.425130.42-307.001-33.4155
4148805104.625164.58-59.9641-224.619
4247905226.985164.5862.397-436.98
4344004401.365137.5-736.135-1.36458
4451704939.85085.83-146.029230.196
4561005755.044980775.036344.964
4654205357.724889.17468.55462.2789
4754504965.044856.25108.786484.964
4847505019.854814.17205.684-269.851
4946204316.424784.58-468.159303.575
5046004612.214764.58-152.372-12.2118
5139604970.454721.25249.203-1010.45
5242704389.674696.67-307.001-119.666
5346104618.374678.33-59.9641-8.36921
5440504751.564689.1762.397-701.564
5544303928.034664.17-736.135501.969
5646604456.474602.5-146.029203.529
5755705361.74586.67775.036208.297
5853605037.724569.17468.554322.279
5950704705.874597.08108.786364.131
6053904933.184727.5205.684456.816
6133804425.594893.75-468.159-1045.59
6243604885.965038.33-152.372-525.962
6338205411.75162.5249.203-1591.7
6439904937.175244.17-307.001-947.166
6555605256.295316.25-59.9641303.714
6662305467.4540562.397762.603
6762404825.115561.25-736.1351414.89
6863205577.725723.75-146.029742.279
6968906628.375853.33775.036261.631
7060006518.556050468.554-518.554
7161606310.046201.25108.786-150.036
7264306453.186247.5205.684-23.184
7360905795.176263.33-468.159294.825
7455506216.386368.75-152.372-666.378
7557406749.626500.42249.203-1009.62
7667906239.676546.67-307.001550.334
7763906488.376548.33-59.9641-98.3692
7865106575.736513.3362.397-65.7303
7963405734.286470.42-736.135605.719
8087506319.396465.42-146.0292430.61
8176207222.956447.92775.036397.047
8263806765.646297.08468.554-385.638
8358206242.126133.33108.786-422.119
8459306214.026008.33205.684-284.017
8555605376.845845-468.159183.159
8659605440.555592.92-152.372519.455
8749105650.045400.83249.203-740.036
8840005084.255391.25-307.001-1084.25
8952505368.795428.75-59.9641-118.786
9046505588.235525.8362.397-938.23
9142804887.615623.75-736.135-607.615
9247605524.85670.83-146.029-764.804
9370006622.545847.5775.036377.464
9467706594.86126.25468.554175.196
9563306455.456346.67108.786-125.453
9677506776.936571.25205.684973.066
9760906312.676780.83-468.159-222.675
9865606718.466870.83-152.372-158.462
9985507119.26870249.2031430.8
10070506587.176894.17-307.001462.834
10174906856.296916.25-59.9641633.714
10278006871.566809.1762.397928.436
10361605974.286710.42-736.135185.719
10450406527.726673.75-146.029-1487.72
10567007359.26584.17775.036-659.203
10676506941.056472.5468.554708.946
10759806423.376314.58108.786-443.369
10855306294.026088.33205.684-764.017
10959405423.095891.25-468.159516.909
11058305665.135817.5-152.372164.872
11171306046.75797.5249.2031083.3
11257905476.335783.33-307.001313.668
11349605714.625774.58-59.9641-754.619
11449005833.655771.2562.397-933.647
11543305103.455839.58-736.135-773.448
1165100NANA-146.029NA
1176160NANA775.036NA
1187850NANA468.554NA
1195570NANA108.786NA
1205860NANA205.684NA
1217250NANA-468.159NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 5900 & NA & NA & -468.159 & NA \tabularnewline
2 & 6350 & NA & NA & -152.372 & NA \tabularnewline
3 & 8520 & NA & NA & 249.203 & NA \tabularnewline
4 & 6600 & NA & NA & -307.001 & NA \tabularnewline
5 & 4920 & NA & NA & -59.9641 & NA \tabularnewline
6 & 4990 & NA & NA & 62.397 & NA \tabularnewline
7 & 3890 & 5400.53 & 6136.67 & -736.135 & -1510.53 \tabularnewline
8 & 5110 & 5970.22 & 6116.25 & -146.029 & -860.221 \tabularnewline
9 & 6730 & 6792.12 & 6017.08 & 775.036 & -62.1192 \tabularnewline
10 & 7380 & 6416.89 & 5948.33 & 468.554 & 963.112 \tabularnewline
11 & 6600 & 6103.79 & 5995 & 108.786 & 496.214 \tabularnewline
12 & 6540 & 6281.52 & 6075.83 & 205.684 & 258.483 \tabularnewline
13 & 6120 & 5691.01 & 6159.17 & -468.159 & 428.992 \tabularnewline
14 & 5640 & 6075.13 & 6227.5 & -152.372 & -435.128 \tabularnewline
15 & 6850 & 6472.54 & 6223.33 & 249.203 & 377.464 \tabularnewline
16 & 6620 & 5810.08 & 6117.08 & -307.001 & 809.918 \tabularnewline
17 & 6020 & 5925.87 & 5985.83 & -59.9641 & 94.1308 \tabularnewline
18 & 5830 & 5955.73 & 5893.33 & 62.397 & -125.73 \tabularnewline
19 & 5050 & 5026.78 & 5762.92 & -736.135 & 23.2188 \tabularnewline
20 & 5590 & 5531.89 & 5677.92 & -146.029 & 58.1123 \tabularnewline
21 & 6150 & 6447.95 & 5672.92 & 775.036 & -297.953 \tabularnewline
22 & 5410 & 6064.8 & 5596.25 & 468.554 & -654.804 \tabularnewline
23 & 5420 & 5605.04 & 5496.25 & 108.786 & -185.036 \tabularnewline
24 & 5500 & 5708.6 & 5502.92 & 205.684 & -208.601 \tabularnewline
25 & 4030 & 5052.26 & 5520.42 & -468.159 & -1022.26 \tabularnewline
26 & 5690 & 5303.05 & 5455.42 & -152.372 & 386.955 \tabularnewline
27 & 6680 & 5625.87 & 5376.67 & 249.203 & 1054.13 \tabularnewline
28 & 4950 & 5014.67 & 5321.67 & -307.001 & -64.6655 \tabularnewline
29 & 5290 & 5229.2 & 5289.17 & -59.9641 & 60.7975 \tabularnewline
30 & 6720 & 5321.56 & 5259.17 & 62.397 & 1398.44 \tabularnewline
31 & 4580 & 4543.45 & 5279.58 & -736.135 & 36.5521 \tabularnewline
32 & 4500 & 5164.39 & 5310.42 & -146.029 & -664.388 \tabularnewline
33 & 5350 & 6032.54 & 5257.5 & 775.036 & -682.536 \tabularnewline
34 & 4890 & 5675.22 & 5206.67 & 468.554 & -785.221 \tabularnewline
35 & 5160 & 5291.7 & 5182.92 & 108.786 & -131.703 \tabularnewline
36 & 5040 & 5291.1 & 5085.42 & 205.684 & -251.101 \tabularnewline
37 & 4980 & 4529.34 & 4997.5 & -468.159 & 450.659 \tabularnewline
38 & 5480 & 4865.55 & 5017.92 & -152.372 & 614.455 \tabularnewline
39 & 5620 & 5326.29 & 5077.08 & 249.203 & 293.714 \tabularnewline
40 & 4790 & 4823.42 & 5130.42 & -307.001 & -33.4155 \tabularnewline
41 & 4880 & 5104.62 & 5164.58 & -59.9641 & -224.619 \tabularnewline
42 & 4790 & 5226.98 & 5164.58 & 62.397 & -436.98 \tabularnewline
43 & 4400 & 4401.36 & 5137.5 & -736.135 & -1.36458 \tabularnewline
44 & 5170 & 4939.8 & 5085.83 & -146.029 & 230.196 \tabularnewline
45 & 6100 & 5755.04 & 4980 & 775.036 & 344.964 \tabularnewline
46 & 5420 & 5357.72 & 4889.17 & 468.554 & 62.2789 \tabularnewline
47 & 5450 & 4965.04 & 4856.25 & 108.786 & 484.964 \tabularnewline
48 & 4750 & 5019.85 & 4814.17 & 205.684 & -269.851 \tabularnewline
49 & 4620 & 4316.42 & 4784.58 & -468.159 & 303.575 \tabularnewline
50 & 4600 & 4612.21 & 4764.58 & -152.372 & -12.2118 \tabularnewline
51 & 3960 & 4970.45 & 4721.25 & 249.203 & -1010.45 \tabularnewline
52 & 4270 & 4389.67 & 4696.67 & -307.001 & -119.666 \tabularnewline
53 & 4610 & 4618.37 & 4678.33 & -59.9641 & -8.36921 \tabularnewline
54 & 4050 & 4751.56 & 4689.17 & 62.397 & -701.564 \tabularnewline
55 & 4430 & 3928.03 & 4664.17 & -736.135 & 501.969 \tabularnewline
56 & 4660 & 4456.47 & 4602.5 & -146.029 & 203.529 \tabularnewline
57 & 5570 & 5361.7 & 4586.67 & 775.036 & 208.297 \tabularnewline
58 & 5360 & 5037.72 & 4569.17 & 468.554 & 322.279 \tabularnewline
59 & 5070 & 4705.87 & 4597.08 & 108.786 & 364.131 \tabularnewline
60 & 5390 & 4933.18 & 4727.5 & 205.684 & 456.816 \tabularnewline
61 & 3380 & 4425.59 & 4893.75 & -468.159 & -1045.59 \tabularnewline
62 & 4360 & 4885.96 & 5038.33 & -152.372 & -525.962 \tabularnewline
63 & 3820 & 5411.7 & 5162.5 & 249.203 & -1591.7 \tabularnewline
64 & 3990 & 4937.17 & 5244.17 & -307.001 & -947.166 \tabularnewline
65 & 5560 & 5256.29 & 5316.25 & -59.9641 & 303.714 \tabularnewline
66 & 6230 & 5467.4 & 5405 & 62.397 & 762.603 \tabularnewline
67 & 6240 & 4825.11 & 5561.25 & -736.135 & 1414.89 \tabularnewline
68 & 6320 & 5577.72 & 5723.75 & -146.029 & 742.279 \tabularnewline
69 & 6890 & 6628.37 & 5853.33 & 775.036 & 261.631 \tabularnewline
70 & 6000 & 6518.55 & 6050 & 468.554 & -518.554 \tabularnewline
71 & 6160 & 6310.04 & 6201.25 & 108.786 & -150.036 \tabularnewline
72 & 6430 & 6453.18 & 6247.5 & 205.684 & -23.184 \tabularnewline
73 & 6090 & 5795.17 & 6263.33 & -468.159 & 294.825 \tabularnewline
74 & 5550 & 6216.38 & 6368.75 & -152.372 & -666.378 \tabularnewline
75 & 5740 & 6749.62 & 6500.42 & 249.203 & -1009.62 \tabularnewline
76 & 6790 & 6239.67 & 6546.67 & -307.001 & 550.334 \tabularnewline
77 & 6390 & 6488.37 & 6548.33 & -59.9641 & -98.3692 \tabularnewline
78 & 6510 & 6575.73 & 6513.33 & 62.397 & -65.7303 \tabularnewline
79 & 6340 & 5734.28 & 6470.42 & -736.135 & 605.719 \tabularnewline
80 & 8750 & 6319.39 & 6465.42 & -146.029 & 2430.61 \tabularnewline
81 & 7620 & 7222.95 & 6447.92 & 775.036 & 397.047 \tabularnewline
82 & 6380 & 6765.64 & 6297.08 & 468.554 & -385.638 \tabularnewline
83 & 5820 & 6242.12 & 6133.33 & 108.786 & -422.119 \tabularnewline
84 & 5930 & 6214.02 & 6008.33 & 205.684 & -284.017 \tabularnewline
85 & 5560 & 5376.84 & 5845 & -468.159 & 183.159 \tabularnewline
86 & 5960 & 5440.55 & 5592.92 & -152.372 & 519.455 \tabularnewline
87 & 4910 & 5650.04 & 5400.83 & 249.203 & -740.036 \tabularnewline
88 & 4000 & 5084.25 & 5391.25 & -307.001 & -1084.25 \tabularnewline
89 & 5250 & 5368.79 & 5428.75 & -59.9641 & -118.786 \tabularnewline
90 & 4650 & 5588.23 & 5525.83 & 62.397 & -938.23 \tabularnewline
91 & 4280 & 4887.61 & 5623.75 & -736.135 & -607.615 \tabularnewline
92 & 4760 & 5524.8 & 5670.83 & -146.029 & -764.804 \tabularnewline
93 & 7000 & 6622.54 & 5847.5 & 775.036 & 377.464 \tabularnewline
94 & 6770 & 6594.8 & 6126.25 & 468.554 & 175.196 \tabularnewline
95 & 6330 & 6455.45 & 6346.67 & 108.786 & -125.453 \tabularnewline
96 & 7750 & 6776.93 & 6571.25 & 205.684 & 973.066 \tabularnewline
97 & 6090 & 6312.67 & 6780.83 & -468.159 & -222.675 \tabularnewline
98 & 6560 & 6718.46 & 6870.83 & -152.372 & -158.462 \tabularnewline
99 & 8550 & 7119.2 & 6870 & 249.203 & 1430.8 \tabularnewline
100 & 7050 & 6587.17 & 6894.17 & -307.001 & 462.834 \tabularnewline
101 & 7490 & 6856.29 & 6916.25 & -59.9641 & 633.714 \tabularnewline
102 & 7800 & 6871.56 & 6809.17 & 62.397 & 928.436 \tabularnewline
103 & 6160 & 5974.28 & 6710.42 & -736.135 & 185.719 \tabularnewline
104 & 5040 & 6527.72 & 6673.75 & -146.029 & -1487.72 \tabularnewline
105 & 6700 & 7359.2 & 6584.17 & 775.036 & -659.203 \tabularnewline
106 & 7650 & 6941.05 & 6472.5 & 468.554 & 708.946 \tabularnewline
107 & 5980 & 6423.37 & 6314.58 & 108.786 & -443.369 \tabularnewline
108 & 5530 & 6294.02 & 6088.33 & 205.684 & -764.017 \tabularnewline
109 & 5940 & 5423.09 & 5891.25 & -468.159 & 516.909 \tabularnewline
110 & 5830 & 5665.13 & 5817.5 & -152.372 & 164.872 \tabularnewline
111 & 7130 & 6046.7 & 5797.5 & 249.203 & 1083.3 \tabularnewline
112 & 5790 & 5476.33 & 5783.33 & -307.001 & 313.668 \tabularnewline
113 & 4960 & 5714.62 & 5774.58 & -59.9641 & -754.619 \tabularnewline
114 & 4900 & 5833.65 & 5771.25 & 62.397 & -933.647 \tabularnewline
115 & 4330 & 5103.45 & 5839.58 & -736.135 & -773.448 \tabularnewline
116 & 5100 & NA & NA & -146.029 & NA \tabularnewline
117 & 6160 & NA & NA & 775.036 & NA \tabularnewline
118 & 7850 & NA & NA & 468.554 & NA \tabularnewline
119 & 5570 & NA & NA & 108.786 & NA \tabularnewline
120 & 5860 & NA & NA & 205.684 & NA \tabularnewline
121 & 7250 & NA & NA & -468.159 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=301288&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]5900[/C][C]NA[/C][C]NA[/C][C]-468.159[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]6350[/C][C]NA[/C][C]NA[/C][C]-152.372[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]8520[/C][C]NA[/C][C]NA[/C][C]249.203[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]6600[/C][C]NA[/C][C]NA[/C][C]-307.001[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]4920[/C][C]NA[/C][C]NA[/C][C]-59.9641[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]4990[/C][C]NA[/C][C]NA[/C][C]62.397[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]3890[/C][C]5400.53[/C][C]6136.67[/C][C]-736.135[/C][C]-1510.53[/C][/ROW]
[ROW][C]8[/C][C]5110[/C][C]5970.22[/C][C]6116.25[/C][C]-146.029[/C][C]-860.221[/C][/ROW]
[ROW][C]9[/C][C]6730[/C][C]6792.12[/C][C]6017.08[/C][C]775.036[/C][C]-62.1192[/C][/ROW]
[ROW][C]10[/C][C]7380[/C][C]6416.89[/C][C]5948.33[/C][C]468.554[/C][C]963.112[/C][/ROW]
[ROW][C]11[/C][C]6600[/C][C]6103.79[/C][C]5995[/C][C]108.786[/C][C]496.214[/C][/ROW]
[ROW][C]12[/C][C]6540[/C][C]6281.52[/C][C]6075.83[/C][C]205.684[/C][C]258.483[/C][/ROW]
[ROW][C]13[/C][C]6120[/C][C]5691.01[/C][C]6159.17[/C][C]-468.159[/C][C]428.992[/C][/ROW]
[ROW][C]14[/C][C]5640[/C][C]6075.13[/C][C]6227.5[/C][C]-152.372[/C][C]-435.128[/C][/ROW]
[ROW][C]15[/C][C]6850[/C][C]6472.54[/C][C]6223.33[/C][C]249.203[/C][C]377.464[/C][/ROW]
[ROW][C]16[/C][C]6620[/C][C]5810.08[/C][C]6117.08[/C][C]-307.001[/C][C]809.918[/C][/ROW]
[ROW][C]17[/C][C]6020[/C][C]5925.87[/C][C]5985.83[/C][C]-59.9641[/C][C]94.1308[/C][/ROW]
[ROW][C]18[/C][C]5830[/C][C]5955.73[/C][C]5893.33[/C][C]62.397[/C][C]-125.73[/C][/ROW]
[ROW][C]19[/C][C]5050[/C][C]5026.78[/C][C]5762.92[/C][C]-736.135[/C][C]23.2188[/C][/ROW]
[ROW][C]20[/C][C]5590[/C][C]5531.89[/C][C]5677.92[/C][C]-146.029[/C][C]58.1123[/C][/ROW]
[ROW][C]21[/C][C]6150[/C][C]6447.95[/C][C]5672.92[/C][C]775.036[/C][C]-297.953[/C][/ROW]
[ROW][C]22[/C][C]5410[/C][C]6064.8[/C][C]5596.25[/C][C]468.554[/C][C]-654.804[/C][/ROW]
[ROW][C]23[/C][C]5420[/C][C]5605.04[/C][C]5496.25[/C][C]108.786[/C][C]-185.036[/C][/ROW]
[ROW][C]24[/C][C]5500[/C][C]5708.6[/C][C]5502.92[/C][C]205.684[/C][C]-208.601[/C][/ROW]
[ROW][C]25[/C][C]4030[/C][C]5052.26[/C][C]5520.42[/C][C]-468.159[/C][C]-1022.26[/C][/ROW]
[ROW][C]26[/C][C]5690[/C][C]5303.05[/C][C]5455.42[/C][C]-152.372[/C][C]386.955[/C][/ROW]
[ROW][C]27[/C][C]6680[/C][C]5625.87[/C][C]5376.67[/C][C]249.203[/C][C]1054.13[/C][/ROW]
[ROW][C]28[/C][C]4950[/C][C]5014.67[/C][C]5321.67[/C][C]-307.001[/C][C]-64.6655[/C][/ROW]
[ROW][C]29[/C][C]5290[/C][C]5229.2[/C][C]5289.17[/C][C]-59.9641[/C][C]60.7975[/C][/ROW]
[ROW][C]30[/C][C]6720[/C][C]5321.56[/C][C]5259.17[/C][C]62.397[/C][C]1398.44[/C][/ROW]
[ROW][C]31[/C][C]4580[/C][C]4543.45[/C][C]5279.58[/C][C]-736.135[/C][C]36.5521[/C][/ROW]
[ROW][C]32[/C][C]4500[/C][C]5164.39[/C][C]5310.42[/C][C]-146.029[/C][C]-664.388[/C][/ROW]
[ROW][C]33[/C][C]5350[/C][C]6032.54[/C][C]5257.5[/C][C]775.036[/C][C]-682.536[/C][/ROW]
[ROW][C]34[/C][C]4890[/C][C]5675.22[/C][C]5206.67[/C][C]468.554[/C][C]-785.221[/C][/ROW]
[ROW][C]35[/C][C]5160[/C][C]5291.7[/C][C]5182.92[/C][C]108.786[/C][C]-131.703[/C][/ROW]
[ROW][C]36[/C][C]5040[/C][C]5291.1[/C][C]5085.42[/C][C]205.684[/C][C]-251.101[/C][/ROW]
[ROW][C]37[/C][C]4980[/C][C]4529.34[/C][C]4997.5[/C][C]-468.159[/C][C]450.659[/C][/ROW]
[ROW][C]38[/C][C]5480[/C][C]4865.55[/C][C]5017.92[/C][C]-152.372[/C][C]614.455[/C][/ROW]
[ROW][C]39[/C][C]5620[/C][C]5326.29[/C][C]5077.08[/C][C]249.203[/C][C]293.714[/C][/ROW]
[ROW][C]40[/C][C]4790[/C][C]4823.42[/C][C]5130.42[/C][C]-307.001[/C][C]-33.4155[/C][/ROW]
[ROW][C]41[/C][C]4880[/C][C]5104.62[/C][C]5164.58[/C][C]-59.9641[/C][C]-224.619[/C][/ROW]
[ROW][C]42[/C][C]4790[/C][C]5226.98[/C][C]5164.58[/C][C]62.397[/C][C]-436.98[/C][/ROW]
[ROW][C]43[/C][C]4400[/C][C]4401.36[/C][C]5137.5[/C][C]-736.135[/C][C]-1.36458[/C][/ROW]
[ROW][C]44[/C][C]5170[/C][C]4939.8[/C][C]5085.83[/C][C]-146.029[/C][C]230.196[/C][/ROW]
[ROW][C]45[/C][C]6100[/C][C]5755.04[/C][C]4980[/C][C]775.036[/C][C]344.964[/C][/ROW]
[ROW][C]46[/C][C]5420[/C][C]5357.72[/C][C]4889.17[/C][C]468.554[/C][C]62.2789[/C][/ROW]
[ROW][C]47[/C][C]5450[/C][C]4965.04[/C][C]4856.25[/C][C]108.786[/C][C]484.964[/C][/ROW]
[ROW][C]48[/C][C]4750[/C][C]5019.85[/C][C]4814.17[/C][C]205.684[/C][C]-269.851[/C][/ROW]
[ROW][C]49[/C][C]4620[/C][C]4316.42[/C][C]4784.58[/C][C]-468.159[/C][C]303.575[/C][/ROW]
[ROW][C]50[/C][C]4600[/C][C]4612.21[/C][C]4764.58[/C][C]-152.372[/C][C]-12.2118[/C][/ROW]
[ROW][C]51[/C][C]3960[/C][C]4970.45[/C][C]4721.25[/C][C]249.203[/C][C]-1010.45[/C][/ROW]
[ROW][C]52[/C][C]4270[/C][C]4389.67[/C][C]4696.67[/C][C]-307.001[/C][C]-119.666[/C][/ROW]
[ROW][C]53[/C][C]4610[/C][C]4618.37[/C][C]4678.33[/C][C]-59.9641[/C][C]-8.36921[/C][/ROW]
[ROW][C]54[/C][C]4050[/C][C]4751.56[/C][C]4689.17[/C][C]62.397[/C][C]-701.564[/C][/ROW]
[ROW][C]55[/C][C]4430[/C][C]3928.03[/C][C]4664.17[/C][C]-736.135[/C][C]501.969[/C][/ROW]
[ROW][C]56[/C][C]4660[/C][C]4456.47[/C][C]4602.5[/C][C]-146.029[/C][C]203.529[/C][/ROW]
[ROW][C]57[/C][C]5570[/C][C]5361.7[/C][C]4586.67[/C][C]775.036[/C][C]208.297[/C][/ROW]
[ROW][C]58[/C][C]5360[/C][C]5037.72[/C][C]4569.17[/C][C]468.554[/C][C]322.279[/C][/ROW]
[ROW][C]59[/C][C]5070[/C][C]4705.87[/C][C]4597.08[/C][C]108.786[/C][C]364.131[/C][/ROW]
[ROW][C]60[/C][C]5390[/C][C]4933.18[/C][C]4727.5[/C][C]205.684[/C][C]456.816[/C][/ROW]
[ROW][C]61[/C][C]3380[/C][C]4425.59[/C][C]4893.75[/C][C]-468.159[/C][C]-1045.59[/C][/ROW]
[ROW][C]62[/C][C]4360[/C][C]4885.96[/C][C]5038.33[/C][C]-152.372[/C][C]-525.962[/C][/ROW]
[ROW][C]63[/C][C]3820[/C][C]5411.7[/C][C]5162.5[/C][C]249.203[/C][C]-1591.7[/C][/ROW]
[ROW][C]64[/C][C]3990[/C][C]4937.17[/C][C]5244.17[/C][C]-307.001[/C][C]-947.166[/C][/ROW]
[ROW][C]65[/C][C]5560[/C][C]5256.29[/C][C]5316.25[/C][C]-59.9641[/C][C]303.714[/C][/ROW]
[ROW][C]66[/C][C]6230[/C][C]5467.4[/C][C]5405[/C][C]62.397[/C][C]762.603[/C][/ROW]
[ROW][C]67[/C][C]6240[/C][C]4825.11[/C][C]5561.25[/C][C]-736.135[/C][C]1414.89[/C][/ROW]
[ROW][C]68[/C][C]6320[/C][C]5577.72[/C][C]5723.75[/C][C]-146.029[/C][C]742.279[/C][/ROW]
[ROW][C]69[/C][C]6890[/C][C]6628.37[/C][C]5853.33[/C][C]775.036[/C][C]261.631[/C][/ROW]
[ROW][C]70[/C][C]6000[/C][C]6518.55[/C][C]6050[/C][C]468.554[/C][C]-518.554[/C][/ROW]
[ROW][C]71[/C][C]6160[/C][C]6310.04[/C][C]6201.25[/C][C]108.786[/C][C]-150.036[/C][/ROW]
[ROW][C]72[/C][C]6430[/C][C]6453.18[/C][C]6247.5[/C][C]205.684[/C][C]-23.184[/C][/ROW]
[ROW][C]73[/C][C]6090[/C][C]5795.17[/C][C]6263.33[/C][C]-468.159[/C][C]294.825[/C][/ROW]
[ROW][C]74[/C][C]5550[/C][C]6216.38[/C][C]6368.75[/C][C]-152.372[/C][C]-666.378[/C][/ROW]
[ROW][C]75[/C][C]5740[/C][C]6749.62[/C][C]6500.42[/C][C]249.203[/C][C]-1009.62[/C][/ROW]
[ROW][C]76[/C][C]6790[/C][C]6239.67[/C][C]6546.67[/C][C]-307.001[/C][C]550.334[/C][/ROW]
[ROW][C]77[/C][C]6390[/C][C]6488.37[/C][C]6548.33[/C][C]-59.9641[/C][C]-98.3692[/C][/ROW]
[ROW][C]78[/C][C]6510[/C][C]6575.73[/C][C]6513.33[/C][C]62.397[/C][C]-65.7303[/C][/ROW]
[ROW][C]79[/C][C]6340[/C][C]5734.28[/C][C]6470.42[/C][C]-736.135[/C][C]605.719[/C][/ROW]
[ROW][C]80[/C][C]8750[/C][C]6319.39[/C][C]6465.42[/C][C]-146.029[/C][C]2430.61[/C][/ROW]
[ROW][C]81[/C][C]7620[/C][C]7222.95[/C][C]6447.92[/C][C]775.036[/C][C]397.047[/C][/ROW]
[ROW][C]82[/C][C]6380[/C][C]6765.64[/C][C]6297.08[/C][C]468.554[/C][C]-385.638[/C][/ROW]
[ROW][C]83[/C][C]5820[/C][C]6242.12[/C][C]6133.33[/C][C]108.786[/C][C]-422.119[/C][/ROW]
[ROW][C]84[/C][C]5930[/C][C]6214.02[/C][C]6008.33[/C][C]205.684[/C][C]-284.017[/C][/ROW]
[ROW][C]85[/C][C]5560[/C][C]5376.84[/C][C]5845[/C][C]-468.159[/C][C]183.159[/C][/ROW]
[ROW][C]86[/C][C]5960[/C][C]5440.55[/C][C]5592.92[/C][C]-152.372[/C][C]519.455[/C][/ROW]
[ROW][C]87[/C][C]4910[/C][C]5650.04[/C][C]5400.83[/C][C]249.203[/C][C]-740.036[/C][/ROW]
[ROW][C]88[/C][C]4000[/C][C]5084.25[/C][C]5391.25[/C][C]-307.001[/C][C]-1084.25[/C][/ROW]
[ROW][C]89[/C][C]5250[/C][C]5368.79[/C][C]5428.75[/C][C]-59.9641[/C][C]-118.786[/C][/ROW]
[ROW][C]90[/C][C]4650[/C][C]5588.23[/C][C]5525.83[/C][C]62.397[/C][C]-938.23[/C][/ROW]
[ROW][C]91[/C][C]4280[/C][C]4887.61[/C][C]5623.75[/C][C]-736.135[/C][C]-607.615[/C][/ROW]
[ROW][C]92[/C][C]4760[/C][C]5524.8[/C][C]5670.83[/C][C]-146.029[/C][C]-764.804[/C][/ROW]
[ROW][C]93[/C][C]7000[/C][C]6622.54[/C][C]5847.5[/C][C]775.036[/C][C]377.464[/C][/ROW]
[ROW][C]94[/C][C]6770[/C][C]6594.8[/C][C]6126.25[/C][C]468.554[/C][C]175.196[/C][/ROW]
[ROW][C]95[/C][C]6330[/C][C]6455.45[/C][C]6346.67[/C][C]108.786[/C][C]-125.453[/C][/ROW]
[ROW][C]96[/C][C]7750[/C][C]6776.93[/C][C]6571.25[/C][C]205.684[/C][C]973.066[/C][/ROW]
[ROW][C]97[/C][C]6090[/C][C]6312.67[/C][C]6780.83[/C][C]-468.159[/C][C]-222.675[/C][/ROW]
[ROW][C]98[/C][C]6560[/C][C]6718.46[/C][C]6870.83[/C][C]-152.372[/C][C]-158.462[/C][/ROW]
[ROW][C]99[/C][C]8550[/C][C]7119.2[/C][C]6870[/C][C]249.203[/C][C]1430.8[/C][/ROW]
[ROW][C]100[/C][C]7050[/C][C]6587.17[/C][C]6894.17[/C][C]-307.001[/C][C]462.834[/C][/ROW]
[ROW][C]101[/C][C]7490[/C][C]6856.29[/C][C]6916.25[/C][C]-59.9641[/C][C]633.714[/C][/ROW]
[ROW][C]102[/C][C]7800[/C][C]6871.56[/C][C]6809.17[/C][C]62.397[/C][C]928.436[/C][/ROW]
[ROW][C]103[/C][C]6160[/C][C]5974.28[/C][C]6710.42[/C][C]-736.135[/C][C]185.719[/C][/ROW]
[ROW][C]104[/C][C]5040[/C][C]6527.72[/C][C]6673.75[/C][C]-146.029[/C][C]-1487.72[/C][/ROW]
[ROW][C]105[/C][C]6700[/C][C]7359.2[/C][C]6584.17[/C][C]775.036[/C][C]-659.203[/C][/ROW]
[ROW][C]106[/C][C]7650[/C][C]6941.05[/C][C]6472.5[/C][C]468.554[/C][C]708.946[/C][/ROW]
[ROW][C]107[/C][C]5980[/C][C]6423.37[/C][C]6314.58[/C][C]108.786[/C][C]-443.369[/C][/ROW]
[ROW][C]108[/C][C]5530[/C][C]6294.02[/C][C]6088.33[/C][C]205.684[/C][C]-764.017[/C][/ROW]
[ROW][C]109[/C][C]5940[/C][C]5423.09[/C][C]5891.25[/C][C]-468.159[/C][C]516.909[/C][/ROW]
[ROW][C]110[/C][C]5830[/C][C]5665.13[/C][C]5817.5[/C][C]-152.372[/C][C]164.872[/C][/ROW]
[ROW][C]111[/C][C]7130[/C][C]6046.7[/C][C]5797.5[/C][C]249.203[/C][C]1083.3[/C][/ROW]
[ROW][C]112[/C][C]5790[/C][C]5476.33[/C][C]5783.33[/C][C]-307.001[/C][C]313.668[/C][/ROW]
[ROW][C]113[/C][C]4960[/C][C]5714.62[/C][C]5774.58[/C][C]-59.9641[/C][C]-754.619[/C][/ROW]
[ROW][C]114[/C][C]4900[/C][C]5833.65[/C][C]5771.25[/C][C]62.397[/C][C]-933.647[/C][/ROW]
[ROW][C]115[/C][C]4330[/C][C]5103.45[/C][C]5839.58[/C][C]-736.135[/C][C]-773.448[/C][/ROW]
[ROW][C]116[/C][C]5100[/C][C]NA[/C][C]NA[/C][C]-146.029[/C][C]NA[/C][/ROW]
[ROW][C]117[/C][C]6160[/C][C]NA[/C][C]NA[/C][C]775.036[/C][C]NA[/C][/ROW]
[ROW][C]118[/C][C]7850[/C][C]NA[/C][C]NA[/C][C]468.554[/C][C]NA[/C][/ROW]
[ROW][C]119[/C][C]5570[/C][C]NA[/C][C]NA[/C][C]108.786[/C][C]NA[/C][/ROW]
[ROW][C]120[/C][C]5860[/C][C]NA[/C][C]NA[/C][C]205.684[/C][C]NA[/C][/ROW]
[ROW][C]121[/C][C]7250[/C][C]NA[/C][C]NA[/C][C]-468.159[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=301288&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=301288&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
15900NANA-468.159NA
26350NANA-152.372NA
38520NANA249.203NA
46600NANA-307.001NA
54920NANA-59.9641NA
64990NANA62.397NA
738905400.536136.67-736.135-1510.53
851105970.226116.25-146.029-860.221
967306792.126017.08775.036-62.1192
1073806416.895948.33468.554963.112
1166006103.795995108.786496.214
1265406281.526075.83205.684258.483
1361205691.016159.17-468.159428.992
1456406075.136227.5-152.372-435.128
1568506472.546223.33249.203377.464
1666205810.086117.08-307.001809.918
1760205925.875985.83-59.964194.1308
1858305955.735893.3362.397-125.73
1950505026.785762.92-736.13523.2188
2055905531.895677.92-146.02958.1123
2161506447.955672.92775.036-297.953
2254106064.85596.25468.554-654.804
2354205605.045496.25108.786-185.036
2455005708.65502.92205.684-208.601
2540305052.265520.42-468.159-1022.26
2656905303.055455.42-152.372386.955
2766805625.875376.67249.2031054.13
2849505014.675321.67-307.001-64.6655
2952905229.25289.17-59.964160.7975
3067205321.565259.1762.3971398.44
3145804543.455279.58-736.13536.5521
3245005164.395310.42-146.029-664.388
3353506032.545257.5775.036-682.536
3448905675.225206.67468.554-785.221
3551605291.75182.92108.786-131.703
3650405291.15085.42205.684-251.101
3749804529.344997.5-468.159450.659
3854804865.555017.92-152.372614.455
3956205326.295077.08249.203293.714
4047904823.425130.42-307.001-33.4155
4148805104.625164.58-59.9641-224.619
4247905226.985164.5862.397-436.98
4344004401.365137.5-736.135-1.36458
4451704939.85085.83-146.029230.196
4561005755.044980775.036344.964
4654205357.724889.17468.55462.2789
4754504965.044856.25108.786484.964
4847505019.854814.17205.684-269.851
4946204316.424784.58-468.159303.575
5046004612.214764.58-152.372-12.2118
5139604970.454721.25249.203-1010.45
5242704389.674696.67-307.001-119.666
5346104618.374678.33-59.9641-8.36921
5440504751.564689.1762.397-701.564
5544303928.034664.17-736.135501.969
5646604456.474602.5-146.029203.529
5755705361.74586.67775.036208.297
5853605037.724569.17468.554322.279
5950704705.874597.08108.786364.131
6053904933.184727.5205.684456.816
6133804425.594893.75-468.159-1045.59
6243604885.965038.33-152.372-525.962
6338205411.75162.5249.203-1591.7
6439904937.175244.17-307.001-947.166
6555605256.295316.25-59.9641303.714
6662305467.4540562.397762.603
6762404825.115561.25-736.1351414.89
6863205577.725723.75-146.029742.279
6968906628.375853.33775.036261.631
7060006518.556050468.554-518.554
7161606310.046201.25108.786-150.036
7264306453.186247.5205.684-23.184
7360905795.176263.33-468.159294.825
7455506216.386368.75-152.372-666.378
7557406749.626500.42249.203-1009.62
7667906239.676546.67-307.001550.334
7763906488.376548.33-59.9641-98.3692
7865106575.736513.3362.397-65.7303
7963405734.286470.42-736.135605.719
8087506319.396465.42-146.0292430.61
8176207222.956447.92775.036397.047
8263806765.646297.08468.554-385.638
8358206242.126133.33108.786-422.119
8459306214.026008.33205.684-284.017
8555605376.845845-468.159183.159
8659605440.555592.92-152.372519.455
8749105650.045400.83249.203-740.036
8840005084.255391.25-307.001-1084.25
8952505368.795428.75-59.9641-118.786
9046505588.235525.8362.397-938.23
9142804887.615623.75-736.135-607.615
9247605524.85670.83-146.029-764.804
9370006622.545847.5775.036377.464
9467706594.86126.25468.554175.196
9563306455.456346.67108.786-125.453
9677506776.936571.25205.684973.066
9760906312.676780.83-468.159-222.675
9865606718.466870.83-152.372-158.462
9985507119.26870249.2031430.8
10070506587.176894.17-307.001462.834
10174906856.296916.25-59.9641633.714
10278006871.566809.1762.397928.436
10361605974.286710.42-736.135185.719
10450406527.726673.75-146.029-1487.72
10567007359.26584.17775.036-659.203
10676506941.056472.5468.554708.946
10759806423.376314.58108.786-443.369
10855306294.026088.33205.684-764.017
10959405423.095891.25-468.159516.909
11058305665.135817.5-152.372164.872
11171306046.75797.5249.2031083.3
11257905476.335783.33-307.001313.668
11349605714.625774.58-59.9641-754.619
11449005833.655771.2562.397-933.647
11543305103.455839.58-736.135-773.448
1165100NANA-146.029NA
1176160NANA775.036NA
1187850NANA468.554NA
1195570NANA108.786NA
1205860NANA205.684NA
1217250NANA-468.159NA



Parameters (Session):
par1 = additive ; par2 = 12 ;
Parameters (R input):
par1 = additive ; par2 = 12 ;
R code (references can be found in the software module):
par2 <- as.numeric(par2)
x <- ts(x,freq=par2)
m <- decompose(x,type=par1)
m$figure
bitmap(file='test1.png')
plot(m)
dev.off()
mylagmax <- length(x)/2
bitmap(file='test2.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(x),lag.max = mylagmax,main='Observed')
acf(as.numeric(m$trend),na.action=na.pass,lag.max = mylagmax,main='Trend')
acf(as.numeric(m$seasonal),na.action=na.pass,lag.max = mylagmax,main='Seasonal')
acf(as.numeric(m$random),na.action=na.pass,lag.max = mylagmax,main='Random')
par(op)
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
spectrum(as.numeric(x),main='Observed')
spectrum(as.numeric(m$trend[!is.na(m$trend)]),main='Trend')
spectrum(as.numeric(m$seasonal[!is.na(m$seasonal)]),main='Seasonal')
spectrum(as.numeric(m$random[!is.na(m$random)]),main='Random')
par(op)
dev.off()
bitmap(file='test4.png')
op <- par(mfrow = c(2,2))
cpgram(as.numeric(x),main='Observed')
cpgram(as.numeric(m$trend[!is.na(m$trend)]),main='Trend')
cpgram(as.numeric(m$seasonal[!is.na(m$seasonal)]),main='Seasonal')
cpgram(as.numeric(m$random[!is.na(m$random)]),main='Random')
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Classical Decomposition by Moving Averages',6,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Observations',header=TRUE)
a<-table.element(a,'Fit',header=TRUE)
a<-table.element(a,'Trend',header=TRUE)
a<-table.element(a,'Seasonal',header=TRUE)
a<-table.element(a,'Random',header=TRUE)
a<-table.row.end(a)
for (i in 1:length(m$trend)) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
if (par1 == 'additive') a<-table.element(a,signif(m$trend[i]+m$seasonal[i],6)) else a<-table.element(a,signif(m$trend[i]*m$seasonal[i],6))
a<-table.element(a,signif(m$trend[i],6))
a<-table.element(a,signif(m$seasonal[i],6))
a<-table.element(a,signif(m$random[i],6))
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')