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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 computationWed, 14 Dec 2016 12:43:13 +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/14/t14817158365iwizdz61t8rld4.htm/, Retrieved Fri, 03 May 2024 22:51:26 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=299317, Retrieved Fri, 03 May 2024 22:51:26 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact90
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [] [2016-12-14 11:43:13] [57f1f1af0ba442a9c0352eeef9ded060] [Current]
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Dataseries X:
6506.9
6481
6558.5
6583.7
6702.5
6825.2
6797
6926.5
7005
6953.1
7024.1
7069.1
7084.9
7068.5
7224.7
7246
7165.2
7148.9
7199
7145.6
7081.8
7105.1
7112.3
7204.4
7086.1
7153
7227.6
7180.3
7216.9
7097.3
7092.5
7086.5
6978.8
7066.5
7202.2
7173.9
7218.3
6978.6
6721.2
6821
6813.9
6726.3
6644.3
6740.8
6800.8
6714.2
6794.2
6891.1
6926.2
7119.5
7124
7201.4
7223.5
7296.9
7399.7
7295.7
7463.9
7407.6
7473.2
7507.1
7513.3
7567.7
7702.1
7719.5
7739.3
7915
7903.4
7937.7
7904.2
7878.9
7952.1
8127.2
8229.9
8204.3
8238.6
8374.7
8340
8308.8
8155.6
8198.4
8116.7
8186.8
8173.4
8330.1
8456.3
8495.5
8597.8
8550.4
8548.3
8561.9
8575.7
9055
9089.6
9350.8
9236.5
8919.4
8878.2
8777.4
8584.1
8735.8
8834.9
8678.1
8706.3
8769.5
8730.1
8867.9
8865.3
8679.5
8656.3
8759.5
8846.3
8947.4
8975.9
9111.1
9146.2
8880.1




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=299317&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=299317&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=299317&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
16506.9NANA3.5893NA
26481NANA-8.05329NA
36558.5NANA-7.13622NA
46583.7NANA25.031NA
56702.5NANA12.081NA
66825.2NANA-24.4961NA
767976765.826810.13-44.312631.1792
86926.56869.686858.710.987956.8163
970056902.476910.93-8.46348102.53
106953.16976.296966.2910.0018-23.1893
117024.17035.37013.1622.1337-11.1962
127069.17054.577045.938.6369814.5338
137084.97079.767076.173.58935.14403
147068.57093.997102.05-8.05329-25.4925
157224.77107.247114.38-7.13622117.461
1672467148.947123.9125.03197.0607
177165.271467133.9212.08119.2024
187148.97118.737143.23-24.496130.167
1971997104.67148.92-44.312694.3959
207145.67163.487152.4910.9879-17.8754
217081.87147.677156.13-8.46348-65.8657
227105.17163.517153.5110.0018-58.4143
237112.37175.067152.9322.1337-62.7629
247204.47161.577152.938.6369842.8297
257086.17149.947146.353.5893-63.8351
2671537131.397139.45-8.0532921.6075
277227.67125.567132.69-7.13622102.045
287180.37151.827126.7925.03128.4774
297216.97141.017128.9312.08175.8899
307097.37106.917131.4-24.4961-9.60805
317092.57091.337135.64-44.31261.17089
327086.57144.877133.8810.9879-58.3712
336978.87097.057105.52-8.46348-118.253
347066.57079.457069.4510.0018-12.9476
357202.27059.827037.6822.1337142.383
367173.97014.077005.438.63698159.83
377218.36974.896971.33.5893243.411
386978.66930.176938.22-8.0532948.4325
396721.26909.266916.4-7.13622-188.064
4068216919.346894.325.031-98.3351
416813.96874.716862.6212.081-60.806
426726.36809.356833.84-24.4961-83.0455
436644.36765.576809.89-44.3126-121.275
446740.86814.586803.5910.9879-73.7754
456800.86817.786826.24-8.46348-16.9782
466714.26868.886858.8710.0018-154.677
476794.26913.936891.7922.1337-119.725
486891.16941.276932.638.63698-50.1703
496926.26991.476987.883.5893-65.2726
507119.57034.437042.48-8.0532985.0741
5171247086.097093.23-7.1362237.9071
527201.47174.787149.7525.03126.619
537223.57219.017206.9312.0814.4857
547296.97236.47260.89-24.496160.5045
557399.77266.717311.02-44.3126132.992
567295.77365.157354.1610.9879-69.4462
577463.97388.467396.92-8.4634875.4426
587407.67452.67442.610.0018-44.9976
597473.27507.817485.6822.1337-34.6087
607507.17541.567532.928.63698-34.4578
617513.37583.257579.663.5893-69.9518
627567.77619.357627.4-8.05329-51.6467
637702.17665.367672.5-7.1362236.7404
647719.57735.517710.4825.031-16.0101
657739.37762.157750.0712.081-22.8518
6679157771.377795.86-24.4961143.634
677903.47807.257851.56-44.312696.1542
687937.77918.937907.9410.987918.7704
697904.27948.367956.82-8.46348-44.1574
707878.98016.488006.4810.0018-137.577
717952.18080.948058.822.1337-128.838
728127.28108.888100.248.6369818.3213
738229.98130.758127.163.589399.1524
748204.38140.488148.53-8.0532963.8241
758238.68161.118168.25-7.1362277.4904
768374.78214.968189.9325.031159.74
7783408224.068211.9812.081115.94
788308.88205.168229.65-24.4961103.642
798155.68203.238247.54-44.3126-47.6291
808198.48280.18269.1110.9879-81.6962
818116.78287.748296.21-8.46348-171.045
828186.88328.58318.510.0018-141.698
838173.48356.638334.522.1337-183.23
848330.18362.368353.728.63698-32.2578
858456.38385.368381.773.589370.9399
868495.58426.918434.97-8.0532968.5866
878597.88504.068511.2-7.1362293.7404
888550.48625.268600.2325.031-74.8643
898548.38705.118693.0312.081-156.81
908561.98737.388761.88-24.4961-175.483
918575.78759.78804.01-44.3126-184
9290558844.338833.3410.9879210.675
939089.68836.058844.51-8.46348253.551
949350.88861.678851.6710.0018489.132
959236.58893.478871.3322.1337343.033
968919.48896.758888.128.6369822.6463
978878.28901.998898.43.5893-23.7893
988777.48883.898891.95-8.05329-106.493
998584.18857.938865.07-7.13622-273.835
1008735.888558829.9725.031-119.202
1018834.98806.468794.3812.08128.4357
1028678.18744.428768.92-24.4961-66.3247
1038706.38705.378749.68-44.31260.933386
1048769.58750.688739.6910.987918.8246
1058730.18741.48749.87-8.46348-11.3032
1068867.98779.618769.6110.001888.2899
1078865.38806.438784.322.133758.8663
1088679.58816.858808.228.63698-137.354
1098656.38848.188844.593.5893-191.877
1108759.58859.478867.53-8.05329-99.9717
1118846.3NANA-7.13622NA
1128947.4NANA25.031NA
1138975.9NANA12.081NA
1149111.1NANA-24.4961NA
1159146.2NANA-44.3126NA
1168880.1NANA10.9879NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 6506.9 & NA & NA & 3.5893 & NA \tabularnewline
2 & 6481 & NA & NA & -8.05329 & NA \tabularnewline
3 & 6558.5 & NA & NA & -7.13622 & NA \tabularnewline
4 & 6583.7 & NA & NA & 25.031 & NA \tabularnewline
5 & 6702.5 & NA & NA & 12.081 & NA \tabularnewline
6 & 6825.2 & NA & NA & -24.4961 & NA \tabularnewline
7 & 6797 & 6765.82 & 6810.13 & -44.3126 & 31.1792 \tabularnewline
8 & 6926.5 & 6869.68 & 6858.7 & 10.9879 & 56.8163 \tabularnewline
9 & 7005 & 6902.47 & 6910.93 & -8.46348 & 102.53 \tabularnewline
10 & 6953.1 & 6976.29 & 6966.29 & 10.0018 & -23.1893 \tabularnewline
11 & 7024.1 & 7035.3 & 7013.16 & 22.1337 & -11.1962 \tabularnewline
12 & 7069.1 & 7054.57 & 7045.93 & 8.63698 & 14.5338 \tabularnewline
13 & 7084.9 & 7079.76 & 7076.17 & 3.5893 & 5.14403 \tabularnewline
14 & 7068.5 & 7093.99 & 7102.05 & -8.05329 & -25.4925 \tabularnewline
15 & 7224.7 & 7107.24 & 7114.38 & -7.13622 & 117.461 \tabularnewline
16 & 7246 & 7148.94 & 7123.91 & 25.031 & 97.0607 \tabularnewline
17 & 7165.2 & 7146 & 7133.92 & 12.081 & 19.2024 \tabularnewline
18 & 7148.9 & 7118.73 & 7143.23 & -24.4961 & 30.167 \tabularnewline
19 & 7199 & 7104.6 & 7148.92 & -44.3126 & 94.3959 \tabularnewline
20 & 7145.6 & 7163.48 & 7152.49 & 10.9879 & -17.8754 \tabularnewline
21 & 7081.8 & 7147.67 & 7156.13 & -8.46348 & -65.8657 \tabularnewline
22 & 7105.1 & 7163.51 & 7153.51 & 10.0018 & -58.4143 \tabularnewline
23 & 7112.3 & 7175.06 & 7152.93 & 22.1337 & -62.7629 \tabularnewline
24 & 7204.4 & 7161.57 & 7152.93 & 8.63698 & 42.8297 \tabularnewline
25 & 7086.1 & 7149.94 & 7146.35 & 3.5893 & -63.8351 \tabularnewline
26 & 7153 & 7131.39 & 7139.45 & -8.05329 & 21.6075 \tabularnewline
27 & 7227.6 & 7125.56 & 7132.69 & -7.13622 & 102.045 \tabularnewline
28 & 7180.3 & 7151.82 & 7126.79 & 25.031 & 28.4774 \tabularnewline
29 & 7216.9 & 7141.01 & 7128.93 & 12.081 & 75.8899 \tabularnewline
30 & 7097.3 & 7106.91 & 7131.4 & -24.4961 & -9.60805 \tabularnewline
31 & 7092.5 & 7091.33 & 7135.64 & -44.3126 & 1.17089 \tabularnewline
32 & 7086.5 & 7144.87 & 7133.88 & 10.9879 & -58.3712 \tabularnewline
33 & 6978.8 & 7097.05 & 7105.52 & -8.46348 & -118.253 \tabularnewline
34 & 7066.5 & 7079.45 & 7069.45 & 10.0018 & -12.9476 \tabularnewline
35 & 7202.2 & 7059.82 & 7037.68 & 22.1337 & 142.383 \tabularnewline
36 & 7173.9 & 7014.07 & 7005.43 & 8.63698 & 159.83 \tabularnewline
37 & 7218.3 & 6974.89 & 6971.3 & 3.5893 & 243.411 \tabularnewline
38 & 6978.6 & 6930.17 & 6938.22 & -8.05329 & 48.4325 \tabularnewline
39 & 6721.2 & 6909.26 & 6916.4 & -7.13622 & -188.064 \tabularnewline
40 & 6821 & 6919.34 & 6894.3 & 25.031 & -98.3351 \tabularnewline
41 & 6813.9 & 6874.71 & 6862.62 & 12.081 & -60.806 \tabularnewline
42 & 6726.3 & 6809.35 & 6833.84 & -24.4961 & -83.0455 \tabularnewline
43 & 6644.3 & 6765.57 & 6809.89 & -44.3126 & -121.275 \tabularnewline
44 & 6740.8 & 6814.58 & 6803.59 & 10.9879 & -73.7754 \tabularnewline
45 & 6800.8 & 6817.78 & 6826.24 & -8.46348 & -16.9782 \tabularnewline
46 & 6714.2 & 6868.88 & 6858.87 & 10.0018 & -154.677 \tabularnewline
47 & 6794.2 & 6913.93 & 6891.79 & 22.1337 & -119.725 \tabularnewline
48 & 6891.1 & 6941.27 & 6932.63 & 8.63698 & -50.1703 \tabularnewline
49 & 6926.2 & 6991.47 & 6987.88 & 3.5893 & -65.2726 \tabularnewline
50 & 7119.5 & 7034.43 & 7042.48 & -8.05329 & 85.0741 \tabularnewline
51 & 7124 & 7086.09 & 7093.23 & -7.13622 & 37.9071 \tabularnewline
52 & 7201.4 & 7174.78 & 7149.75 & 25.031 & 26.619 \tabularnewline
53 & 7223.5 & 7219.01 & 7206.93 & 12.081 & 4.4857 \tabularnewline
54 & 7296.9 & 7236.4 & 7260.89 & -24.4961 & 60.5045 \tabularnewline
55 & 7399.7 & 7266.71 & 7311.02 & -44.3126 & 132.992 \tabularnewline
56 & 7295.7 & 7365.15 & 7354.16 & 10.9879 & -69.4462 \tabularnewline
57 & 7463.9 & 7388.46 & 7396.92 & -8.46348 & 75.4426 \tabularnewline
58 & 7407.6 & 7452.6 & 7442.6 & 10.0018 & -44.9976 \tabularnewline
59 & 7473.2 & 7507.81 & 7485.68 & 22.1337 & -34.6087 \tabularnewline
60 & 7507.1 & 7541.56 & 7532.92 & 8.63698 & -34.4578 \tabularnewline
61 & 7513.3 & 7583.25 & 7579.66 & 3.5893 & -69.9518 \tabularnewline
62 & 7567.7 & 7619.35 & 7627.4 & -8.05329 & -51.6467 \tabularnewline
63 & 7702.1 & 7665.36 & 7672.5 & -7.13622 & 36.7404 \tabularnewline
64 & 7719.5 & 7735.51 & 7710.48 & 25.031 & -16.0101 \tabularnewline
65 & 7739.3 & 7762.15 & 7750.07 & 12.081 & -22.8518 \tabularnewline
66 & 7915 & 7771.37 & 7795.86 & -24.4961 & 143.634 \tabularnewline
67 & 7903.4 & 7807.25 & 7851.56 & -44.3126 & 96.1542 \tabularnewline
68 & 7937.7 & 7918.93 & 7907.94 & 10.9879 & 18.7704 \tabularnewline
69 & 7904.2 & 7948.36 & 7956.82 & -8.46348 & -44.1574 \tabularnewline
70 & 7878.9 & 8016.48 & 8006.48 & 10.0018 & -137.577 \tabularnewline
71 & 7952.1 & 8080.94 & 8058.8 & 22.1337 & -128.838 \tabularnewline
72 & 8127.2 & 8108.88 & 8100.24 & 8.63698 & 18.3213 \tabularnewline
73 & 8229.9 & 8130.75 & 8127.16 & 3.5893 & 99.1524 \tabularnewline
74 & 8204.3 & 8140.48 & 8148.53 & -8.05329 & 63.8241 \tabularnewline
75 & 8238.6 & 8161.11 & 8168.25 & -7.13622 & 77.4904 \tabularnewline
76 & 8374.7 & 8214.96 & 8189.93 & 25.031 & 159.74 \tabularnewline
77 & 8340 & 8224.06 & 8211.98 & 12.081 & 115.94 \tabularnewline
78 & 8308.8 & 8205.16 & 8229.65 & -24.4961 & 103.642 \tabularnewline
79 & 8155.6 & 8203.23 & 8247.54 & -44.3126 & -47.6291 \tabularnewline
80 & 8198.4 & 8280.1 & 8269.11 & 10.9879 & -81.6962 \tabularnewline
81 & 8116.7 & 8287.74 & 8296.21 & -8.46348 & -171.045 \tabularnewline
82 & 8186.8 & 8328.5 & 8318.5 & 10.0018 & -141.698 \tabularnewline
83 & 8173.4 & 8356.63 & 8334.5 & 22.1337 & -183.23 \tabularnewline
84 & 8330.1 & 8362.36 & 8353.72 & 8.63698 & -32.2578 \tabularnewline
85 & 8456.3 & 8385.36 & 8381.77 & 3.5893 & 70.9399 \tabularnewline
86 & 8495.5 & 8426.91 & 8434.97 & -8.05329 & 68.5866 \tabularnewline
87 & 8597.8 & 8504.06 & 8511.2 & -7.13622 & 93.7404 \tabularnewline
88 & 8550.4 & 8625.26 & 8600.23 & 25.031 & -74.8643 \tabularnewline
89 & 8548.3 & 8705.11 & 8693.03 & 12.081 & -156.81 \tabularnewline
90 & 8561.9 & 8737.38 & 8761.88 & -24.4961 & -175.483 \tabularnewline
91 & 8575.7 & 8759.7 & 8804.01 & -44.3126 & -184 \tabularnewline
92 & 9055 & 8844.33 & 8833.34 & 10.9879 & 210.675 \tabularnewline
93 & 9089.6 & 8836.05 & 8844.51 & -8.46348 & 253.551 \tabularnewline
94 & 9350.8 & 8861.67 & 8851.67 & 10.0018 & 489.132 \tabularnewline
95 & 9236.5 & 8893.47 & 8871.33 & 22.1337 & 343.033 \tabularnewline
96 & 8919.4 & 8896.75 & 8888.12 & 8.63698 & 22.6463 \tabularnewline
97 & 8878.2 & 8901.99 & 8898.4 & 3.5893 & -23.7893 \tabularnewline
98 & 8777.4 & 8883.89 & 8891.95 & -8.05329 & -106.493 \tabularnewline
99 & 8584.1 & 8857.93 & 8865.07 & -7.13622 & -273.835 \tabularnewline
100 & 8735.8 & 8855 & 8829.97 & 25.031 & -119.202 \tabularnewline
101 & 8834.9 & 8806.46 & 8794.38 & 12.081 & 28.4357 \tabularnewline
102 & 8678.1 & 8744.42 & 8768.92 & -24.4961 & -66.3247 \tabularnewline
103 & 8706.3 & 8705.37 & 8749.68 & -44.3126 & 0.933386 \tabularnewline
104 & 8769.5 & 8750.68 & 8739.69 & 10.9879 & 18.8246 \tabularnewline
105 & 8730.1 & 8741.4 & 8749.87 & -8.46348 & -11.3032 \tabularnewline
106 & 8867.9 & 8779.61 & 8769.61 & 10.0018 & 88.2899 \tabularnewline
107 & 8865.3 & 8806.43 & 8784.3 & 22.1337 & 58.8663 \tabularnewline
108 & 8679.5 & 8816.85 & 8808.22 & 8.63698 & -137.354 \tabularnewline
109 & 8656.3 & 8848.18 & 8844.59 & 3.5893 & -191.877 \tabularnewline
110 & 8759.5 & 8859.47 & 8867.53 & -8.05329 & -99.9717 \tabularnewline
111 & 8846.3 & NA & NA & -7.13622 & NA \tabularnewline
112 & 8947.4 & NA & NA & 25.031 & NA \tabularnewline
113 & 8975.9 & NA & NA & 12.081 & NA \tabularnewline
114 & 9111.1 & NA & NA & -24.4961 & NA \tabularnewline
115 & 9146.2 & NA & NA & -44.3126 & NA \tabularnewline
116 & 8880.1 & NA & NA & 10.9879 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=299317&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]6506.9[/C][C]NA[/C][C]NA[/C][C]3.5893[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]6481[/C][C]NA[/C][C]NA[/C][C]-8.05329[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]6558.5[/C][C]NA[/C][C]NA[/C][C]-7.13622[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]6583.7[/C][C]NA[/C][C]NA[/C][C]25.031[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]6702.5[/C][C]NA[/C][C]NA[/C][C]12.081[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]6825.2[/C][C]NA[/C][C]NA[/C][C]-24.4961[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]6797[/C][C]6765.82[/C][C]6810.13[/C][C]-44.3126[/C][C]31.1792[/C][/ROW]
[ROW][C]8[/C][C]6926.5[/C][C]6869.68[/C][C]6858.7[/C][C]10.9879[/C][C]56.8163[/C][/ROW]
[ROW][C]9[/C][C]7005[/C][C]6902.47[/C][C]6910.93[/C][C]-8.46348[/C][C]102.53[/C][/ROW]
[ROW][C]10[/C][C]6953.1[/C][C]6976.29[/C][C]6966.29[/C][C]10.0018[/C][C]-23.1893[/C][/ROW]
[ROW][C]11[/C][C]7024.1[/C][C]7035.3[/C][C]7013.16[/C][C]22.1337[/C][C]-11.1962[/C][/ROW]
[ROW][C]12[/C][C]7069.1[/C][C]7054.57[/C][C]7045.93[/C][C]8.63698[/C][C]14.5338[/C][/ROW]
[ROW][C]13[/C][C]7084.9[/C][C]7079.76[/C][C]7076.17[/C][C]3.5893[/C][C]5.14403[/C][/ROW]
[ROW][C]14[/C][C]7068.5[/C][C]7093.99[/C][C]7102.05[/C][C]-8.05329[/C][C]-25.4925[/C][/ROW]
[ROW][C]15[/C][C]7224.7[/C][C]7107.24[/C][C]7114.38[/C][C]-7.13622[/C][C]117.461[/C][/ROW]
[ROW][C]16[/C][C]7246[/C][C]7148.94[/C][C]7123.91[/C][C]25.031[/C][C]97.0607[/C][/ROW]
[ROW][C]17[/C][C]7165.2[/C][C]7146[/C][C]7133.92[/C][C]12.081[/C][C]19.2024[/C][/ROW]
[ROW][C]18[/C][C]7148.9[/C][C]7118.73[/C][C]7143.23[/C][C]-24.4961[/C][C]30.167[/C][/ROW]
[ROW][C]19[/C][C]7199[/C][C]7104.6[/C][C]7148.92[/C][C]-44.3126[/C][C]94.3959[/C][/ROW]
[ROW][C]20[/C][C]7145.6[/C][C]7163.48[/C][C]7152.49[/C][C]10.9879[/C][C]-17.8754[/C][/ROW]
[ROW][C]21[/C][C]7081.8[/C][C]7147.67[/C][C]7156.13[/C][C]-8.46348[/C][C]-65.8657[/C][/ROW]
[ROW][C]22[/C][C]7105.1[/C][C]7163.51[/C][C]7153.51[/C][C]10.0018[/C][C]-58.4143[/C][/ROW]
[ROW][C]23[/C][C]7112.3[/C][C]7175.06[/C][C]7152.93[/C][C]22.1337[/C][C]-62.7629[/C][/ROW]
[ROW][C]24[/C][C]7204.4[/C][C]7161.57[/C][C]7152.93[/C][C]8.63698[/C][C]42.8297[/C][/ROW]
[ROW][C]25[/C][C]7086.1[/C][C]7149.94[/C][C]7146.35[/C][C]3.5893[/C][C]-63.8351[/C][/ROW]
[ROW][C]26[/C][C]7153[/C][C]7131.39[/C][C]7139.45[/C][C]-8.05329[/C][C]21.6075[/C][/ROW]
[ROW][C]27[/C][C]7227.6[/C][C]7125.56[/C][C]7132.69[/C][C]-7.13622[/C][C]102.045[/C][/ROW]
[ROW][C]28[/C][C]7180.3[/C][C]7151.82[/C][C]7126.79[/C][C]25.031[/C][C]28.4774[/C][/ROW]
[ROW][C]29[/C][C]7216.9[/C][C]7141.01[/C][C]7128.93[/C][C]12.081[/C][C]75.8899[/C][/ROW]
[ROW][C]30[/C][C]7097.3[/C][C]7106.91[/C][C]7131.4[/C][C]-24.4961[/C][C]-9.60805[/C][/ROW]
[ROW][C]31[/C][C]7092.5[/C][C]7091.33[/C][C]7135.64[/C][C]-44.3126[/C][C]1.17089[/C][/ROW]
[ROW][C]32[/C][C]7086.5[/C][C]7144.87[/C][C]7133.88[/C][C]10.9879[/C][C]-58.3712[/C][/ROW]
[ROW][C]33[/C][C]6978.8[/C][C]7097.05[/C][C]7105.52[/C][C]-8.46348[/C][C]-118.253[/C][/ROW]
[ROW][C]34[/C][C]7066.5[/C][C]7079.45[/C][C]7069.45[/C][C]10.0018[/C][C]-12.9476[/C][/ROW]
[ROW][C]35[/C][C]7202.2[/C][C]7059.82[/C][C]7037.68[/C][C]22.1337[/C][C]142.383[/C][/ROW]
[ROW][C]36[/C][C]7173.9[/C][C]7014.07[/C][C]7005.43[/C][C]8.63698[/C][C]159.83[/C][/ROW]
[ROW][C]37[/C][C]7218.3[/C][C]6974.89[/C][C]6971.3[/C][C]3.5893[/C][C]243.411[/C][/ROW]
[ROW][C]38[/C][C]6978.6[/C][C]6930.17[/C][C]6938.22[/C][C]-8.05329[/C][C]48.4325[/C][/ROW]
[ROW][C]39[/C][C]6721.2[/C][C]6909.26[/C][C]6916.4[/C][C]-7.13622[/C][C]-188.064[/C][/ROW]
[ROW][C]40[/C][C]6821[/C][C]6919.34[/C][C]6894.3[/C][C]25.031[/C][C]-98.3351[/C][/ROW]
[ROW][C]41[/C][C]6813.9[/C][C]6874.71[/C][C]6862.62[/C][C]12.081[/C][C]-60.806[/C][/ROW]
[ROW][C]42[/C][C]6726.3[/C][C]6809.35[/C][C]6833.84[/C][C]-24.4961[/C][C]-83.0455[/C][/ROW]
[ROW][C]43[/C][C]6644.3[/C][C]6765.57[/C][C]6809.89[/C][C]-44.3126[/C][C]-121.275[/C][/ROW]
[ROW][C]44[/C][C]6740.8[/C][C]6814.58[/C][C]6803.59[/C][C]10.9879[/C][C]-73.7754[/C][/ROW]
[ROW][C]45[/C][C]6800.8[/C][C]6817.78[/C][C]6826.24[/C][C]-8.46348[/C][C]-16.9782[/C][/ROW]
[ROW][C]46[/C][C]6714.2[/C][C]6868.88[/C][C]6858.87[/C][C]10.0018[/C][C]-154.677[/C][/ROW]
[ROW][C]47[/C][C]6794.2[/C][C]6913.93[/C][C]6891.79[/C][C]22.1337[/C][C]-119.725[/C][/ROW]
[ROW][C]48[/C][C]6891.1[/C][C]6941.27[/C][C]6932.63[/C][C]8.63698[/C][C]-50.1703[/C][/ROW]
[ROW][C]49[/C][C]6926.2[/C][C]6991.47[/C][C]6987.88[/C][C]3.5893[/C][C]-65.2726[/C][/ROW]
[ROW][C]50[/C][C]7119.5[/C][C]7034.43[/C][C]7042.48[/C][C]-8.05329[/C][C]85.0741[/C][/ROW]
[ROW][C]51[/C][C]7124[/C][C]7086.09[/C][C]7093.23[/C][C]-7.13622[/C][C]37.9071[/C][/ROW]
[ROW][C]52[/C][C]7201.4[/C][C]7174.78[/C][C]7149.75[/C][C]25.031[/C][C]26.619[/C][/ROW]
[ROW][C]53[/C][C]7223.5[/C][C]7219.01[/C][C]7206.93[/C][C]12.081[/C][C]4.4857[/C][/ROW]
[ROW][C]54[/C][C]7296.9[/C][C]7236.4[/C][C]7260.89[/C][C]-24.4961[/C][C]60.5045[/C][/ROW]
[ROW][C]55[/C][C]7399.7[/C][C]7266.71[/C][C]7311.02[/C][C]-44.3126[/C][C]132.992[/C][/ROW]
[ROW][C]56[/C][C]7295.7[/C][C]7365.15[/C][C]7354.16[/C][C]10.9879[/C][C]-69.4462[/C][/ROW]
[ROW][C]57[/C][C]7463.9[/C][C]7388.46[/C][C]7396.92[/C][C]-8.46348[/C][C]75.4426[/C][/ROW]
[ROW][C]58[/C][C]7407.6[/C][C]7452.6[/C][C]7442.6[/C][C]10.0018[/C][C]-44.9976[/C][/ROW]
[ROW][C]59[/C][C]7473.2[/C][C]7507.81[/C][C]7485.68[/C][C]22.1337[/C][C]-34.6087[/C][/ROW]
[ROW][C]60[/C][C]7507.1[/C][C]7541.56[/C][C]7532.92[/C][C]8.63698[/C][C]-34.4578[/C][/ROW]
[ROW][C]61[/C][C]7513.3[/C][C]7583.25[/C][C]7579.66[/C][C]3.5893[/C][C]-69.9518[/C][/ROW]
[ROW][C]62[/C][C]7567.7[/C][C]7619.35[/C][C]7627.4[/C][C]-8.05329[/C][C]-51.6467[/C][/ROW]
[ROW][C]63[/C][C]7702.1[/C][C]7665.36[/C][C]7672.5[/C][C]-7.13622[/C][C]36.7404[/C][/ROW]
[ROW][C]64[/C][C]7719.5[/C][C]7735.51[/C][C]7710.48[/C][C]25.031[/C][C]-16.0101[/C][/ROW]
[ROW][C]65[/C][C]7739.3[/C][C]7762.15[/C][C]7750.07[/C][C]12.081[/C][C]-22.8518[/C][/ROW]
[ROW][C]66[/C][C]7915[/C][C]7771.37[/C][C]7795.86[/C][C]-24.4961[/C][C]143.634[/C][/ROW]
[ROW][C]67[/C][C]7903.4[/C][C]7807.25[/C][C]7851.56[/C][C]-44.3126[/C][C]96.1542[/C][/ROW]
[ROW][C]68[/C][C]7937.7[/C][C]7918.93[/C][C]7907.94[/C][C]10.9879[/C][C]18.7704[/C][/ROW]
[ROW][C]69[/C][C]7904.2[/C][C]7948.36[/C][C]7956.82[/C][C]-8.46348[/C][C]-44.1574[/C][/ROW]
[ROW][C]70[/C][C]7878.9[/C][C]8016.48[/C][C]8006.48[/C][C]10.0018[/C][C]-137.577[/C][/ROW]
[ROW][C]71[/C][C]7952.1[/C][C]8080.94[/C][C]8058.8[/C][C]22.1337[/C][C]-128.838[/C][/ROW]
[ROW][C]72[/C][C]8127.2[/C][C]8108.88[/C][C]8100.24[/C][C]8.63698[/C][C]18.3213[/C][/ROW]
[ROW][C]73[/C][C]8229.9[/C][C]8130.75[/C][C]8127.16[/C][C]3.5893[/C][C]99.1524[/C][/ROW]
[ROW][C]74[/C][C]8204.3[/C][C]8140.48[/C][C]8148.53[/C][C]-8.05329[/C][C]63.8241[/C][/ROW]
[ROW][C]75[/C][C]8238.6[/C][C]8161.11[/C][C]8168.25[/C][C]-7.13622[/C][C]77.4904[/C][/ROW]
[ROW][C]76[/C][C]8374.7[/C][C]8214.96[/C][C]8189.93[/C][C]25.031[/C][C]159.74[/C][/ROW]
[ROW][C]77[/C][C]8340[/C][C]8224.06[/C][C]8211.98[/C][C]12.081[/C][C]115.94[/C][/ROW]
[ROW][C]78[/C][C]8308.8[/C][C]8205.16[/C][C]8229.65[/C][C]-24.4961[/C][C]103.642[/C][/ROW]
[ROW][C]79[/C][C]8155.6[/C][C]8203.23[/C][C]8247.54[/C][C]-44.3126[/C][C]-47.6291[/C][/ROW]
[ROW][C]80[/C][C]8198.4[/C][C]8280.1[/C][C]8269.11[/C][C]10.9879[/C][C]-81.6962[/C][/ROW]
[ROW][C]81[/C][C]8116.7[/C][C]8287.74[/C][C]8296.21[/C][C]-8.46348[/C][C]-171.045[/C][/ROW]
[ROW][C]82[/C][C]8186.8[/C][C]8328.5[/C][C]8318.5[/C][C]10.0018[/C][C]-141.698[/C][/ROW]
[ROW][C]83[/C][C]8173.4[/C][C]8356.63[/C][C]8334.5[/C][C]22.1337[/C][C]-183.23[/C][/ROW]
[ROW][C]84[/C][C]8330.1[/C][C]8362.36[/C][C]8353.72[/C][C]8.63698[/C][C]-32.2578[/C][/ROW]
[ROW][C]85[/C][C]8456.3[/C][C]8385.36[/C][C]8381.77[/C][C]3.5893[/C][C]70.9399[/C][/ROW]
[ROW][C]86[/C][C]8495.5[/C][C]8426.91[/C][C]8434.97[/C][C]-8.05329[/C][C]68.5866[/C][/ROW]
[ROW][C]87[/C][C]8597.8[/C][C]8504.06[/C][C]8511.2[/C][C]-7.13622[/C][C]93.7404[/C][/ROW]
[ROW][C]88[/C][C]8550.4[/C][C]8625.26[/C][C]8600.23[/C][C]25.031[/C][C]-74.8643[/C][/ROW]
[ROW][C]89[/C][C]8548.3[/C][C]8705.11[/C][C]8693.03[/C][C]12.081[/C][C]-156.81[/C][/ROW]
[ROW][C]90[/C][C]8561.9[/C][C]8737.38[/C][C]8761.88[/C][C]-24.4961[/C][C]-175.483[/C][/ROW]
[ROW][C]91[/C][C]8575.7[/C][C]8759.7[/C][C]8804.01[/C][C]-44.3126[/C][C]-184[/C][/ROW]
[ROW][C]92[/C][C]9055[/C][C]8844.33[/C][C]8833.34[/C][C]10.9879[/C][C]210.675[/C][/ROW]
[ROW][C]93[/C][C]9089.6[/C][C]8836.05[/C][C]8844.51[/C][C]-8.46348[/C][C]253.551[/C][/ROW]
[ROW][C]94[/C][C]9350.8[/C][C]8861.67[/C][C]8851.67[/C][C]10.0018[/C][C]489.132[/C][/ROW]
[ROW][C]95[/C][C]9236.5[/C][C]8893.47[/C][C]8871.33[/C][C]22.1337[/C][C]343.033[/C][/ROW]
[ROW][C]96[/C][C]8919.4[/C][C]8896.75[/C][C]8888.12[/C][C]8.63698[/C][C]22.6463[/C][/ROW]
[ROW][C]97[/C][C]8878.2[/C][C]8901.99[/C][C]8898.4[/C][C]3.5893[/C][C]-23.7893[/C][/ROW]
[ROW][C]98[/C][C]8777.4[/C][C]8883.89[/C][C]8891.95[/C][C]-8.05329[/C][C]-106.493[/C][/ROW]
[ROW][C]99[/C][C]8584.1[/C][C]8857.93[/C][C]8865.07[/C][C]-7.13622[/C][C]-273.835[/C][/ROW]
[ROW][C]100[/C][C]8735.8[/C][C]8855[/C][C]8829.97[/C][C]25.031[/C][C]-119.202[/C][/ROW]
[ROW][C]101[/C][C]8834.9[/C][C]8806.46[/C][C]8794.38[/C][C]12.081[/C][C]28.4357[/C][/ROW]
[ROW][C]102[/C][C]8678.1[/C][C]8744.42[/C][C]8768.92[/C][C]-24.4961[/C][C]-66.3247[/C][/ROW]
[ROW][C]103[/C][C]8706.3[/C][C]8705.37[/C][C]8749.68[/C][C]-44.3126[/C][C]0.933386[/C][/ROW]
[ROW][C]104[/C][C]8769.5[/C][C]8750.68[/C][C]8739.69[/C][C]10.9879[/C][C]18.8246[/C][/ROW]
[ROW][C]105[/C][C]8730.1[/C][C]8741.4[/C][C]8749.87[/C][C]-8.46348[/C][C]-11.3032[/C][/ROW]
[ROW][C]106[/C][C]8867.9[/C][C]8779.61[/C][C]8769.61[/C][C]10.0018[/C][C]88.2899[/C][/ROW]
[ROW][C]107[/C][C]8865.3[/C][C]8806.43[/C][C]8784.3[/C][C]22.1337[/C][C]58.8663[/C][/ROW]
[ROW][C]108[/C][C]8679.5[/C][C]8816.85[/C][C]8808.22[/C][C]8.63698[/C][C]-137.354[/C][/ROW]
[ROW][C]109[/C][C]8656.3[/C][C]8848.18[/C][C]8844.59[/C][C]3.5893[/C][C]-191.877[/C][/ROW]
[ROW][C]110[/C][C]8759.5[/C][C]8859.47[/C][C]8867.53[/C][C]-8.05329[/C][C]-99.9717[/C][/ROW]
[ROW][C]111[/C][C]8846.3[/C][C]NA[/C][C]NA[/C][C]-7.13622[/C][C]NA[/C][/ROW]
[ROW][C]112[/C][C]8947.4[/C][C]NA[/C][C]NA[/C][C]25.031[/C][C]NA[/C][/ROW]
[ROW][C]113[/C][C]8975.9[/C][C]NA[/C][C]NA[/C][C]12.081[/C][C]NA[/C][/ROW]
[ROW][C]114[/C][C]9111.1[/C][C]NA[/C][C]NA[/C][C]-24.4961[/C][C]NA[/C][/ROW]
[ROW][C]115[/C][C]9146.2[/C][C]NA[/C][C]NA[/C][C]-44.3126[/C][C]NA[/C][/ROW]
[ROW][C]116[/C][C]8880.1[/C][C]NA[/C][C]NA[/C][C]10.9879[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=299317&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=299317&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
16506.9NANA3.5893NA
26481NANA-8.05329NA
36558.5NANA-7.13622NA
46583.7NANA25.031NA
56702.5NANA12.081NA
66825.2NANA-24.4961NA
767976765.826810.13-44.312631.1792
86926.56869.686858.710.987956.8163
970056902.476910.93-8.46348102.53
106953.16976.296966.2910.0018-23.1893
117024.17035.37013.1622.1337-11.1962
127069.17054.577045.938.6369814.5338
137084.97079.767076.173.58935.14403
147068.57093.997102.05-8.05329-25.4925
157224.77107.247114.38-7.13622117.461
1672467148.947123.9125.03197.0607
177165.271467133.9212.08119.2024
187148.97118.737143.23-24.496130.167
1971997104.67148.92-44.312694.3959
207145.67163.487152.4910.9879-17.8754
217081.87147.677156.13-8.46348-65.8657
227105.17163.517153.5110.0018-58.4143
237112.37175.067152.9322.1337-62.7629
247204.47161.577152.938.6369842.8297
257086.17149.947146.353.5893-63.8351
2671537131.397139.45-8.0532921.6075
277227.67125.567132.69-7.13622102.045
287180.37151.827126.7925.03128.4774
297216.97141.017128.9312.08175.8899
307097.37106.917131.4-24.4961-9.60805
317092.57091.337135.64-44.31261.17089
327086.57144.877133.8810.9879-58.3712
336978.87097.057105.52-8.46348-118.253
347066.57079.457069.4510.0018-12.9476
357202.27059.827037.6822.1337142.383
367173.97014.077005.438.63698159.83
377218.36974.896971.33.5893243.411
386978.66930.176938.22-8.0532948.4325
396721.26909.266916.4-7.13622-188.064
4068216919.346894.325.031-98.3351
416813.96874.716862.6212.081-60.806
426726.36809.356833.84-24.4961-83.0455
436644.36765.576809.89-44.3126-121.275
446740.86814.586803.5910.9879-73.7754
456800.86817.786826.24-8.46348-16.9782
466714.26868.886858.8710.0018-154.677
476794.26913.936891.7922.1337-119.725
486891.16941.276932.638.63698-50.1703
496926.26991.476987.883.5893-65.2726
507119.57034.437042.48-8.0532985.0741
5171247086.097093.23-7.1362237.9071
527201.47174.787149.7525.03126.619
537223.57219.017206.9312.0814.4857
547296.97236.47260.89-24.496160.5045
557399.77266.717311.02-44.3126132.992
567295.77365.157354.1610.9879-69.4462
577463.97388.467396.92-8.4634875.4426
587407.67452.67442.610.0018-44.9976
597473.27507.817485.6822.1337-34.6087
607507.17541.567532.928.63698-34.4578
617513.37583.257579.663.5893-69.9518
627567.77619.357627.4-8.05329-51.6467
637702.17665.367672.5-7.1362236.7404
647719.57735.517710.4825.031-16.0101
657739.37762.157750.0712.081-22.8518
6679157771.377795.86-24.4961143.634
677903.47807.257851.56-44.312696.1542
687937.77918.937907.9410.987918.7704
697904.27948.367956.82-8.46348-44.1574
707878.98016.488006.4810.0018-137.577
717952.18080.948058.822.1337-128.838
728127.28108.888100.248.6369818.3213
738229.98130.758127.163.589399.1524
748204.38140.488148.53-8.0532963.8241
758238.68161.118168.25-7.1362277.4904
768374.78214.968189.9325.031159.74
7783408224.068211.9812.081115.94
788308.88205.168229.65-24.4961103.642
798155.68203.238247.54-44.3126-47.6291
808198.48280.18269.1110.9879-81.6962
818116.78287.748296.21-8.46348-171.045
828186.88328.58318.510.0018-141.698
838173.48356.638334.522.1337-183.23
848330.18362.368353.728.63698-32.2578
858456.38385.368381.773.589370.9399
868495.58426.918434.97-8.0532968.5866
878597.88504.068511.2-7.1362293.7404
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1058730.18741.48749.87-8.46348-11.3032
1068867.98779.618769.6110.001888.2899
1078865.38806.438784.322.133758.8663
1088679.58816.858808.228.63698-137.354
1098656.38848.188844.593.5893-191.877
1108759.58859.478867.53-8.05329-99.9717
1118846.3NANA-7.13622NA
1128947.4NANA25.031NA
1138975.9NANA12.081NA
1149111.1NANA-24.4961NA
1159146.2NANA-44.3126NA
1168880.1NANA10.9879NA



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')