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Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationFri, 09 Aug 2013 09:21:36 -0400
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2013/Aug/09/t1376054520ouq10zdp5m4w1xd.htm/, Retrieved Sat, 04 May 2024 22:17:56 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=211008, Retrieved Sat, 04 May 2024 22:17:56 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsNick Hollevoet
Estimated Impact183
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [TIJDREEKS (B) - S...] [2013-08-09 13:21:36] [3f9aa5867cfe47c4a12580af2904c765] [Current]
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Dataseries X:
1620
1560
1650
1320
1710
1680
1800
1860
2070
1800
1710
2130
1800
1350
1590
1200
1680
1380
1830
1650
1740
1950
1920
2280
1650
1380
1530
1110
1590
1230
1740
1650
1470
2100
1890
2160
1620
1500
1350
1110
1470
1320
1800
1740
1500
2010
1860
2400
1920
1170
1170
1170
1380
1380
1860
1710
1530
1920
1770
2550
2010
1170
1230
1020
1410
1620
2040
2010
1620
1890
1680
2400
1830
1470
1320
990
1470
1770
2070
1950
1440
2070
1620
2490
2070
1500
1380
930
1470
1410
2130
2130
1620
2100
1560
2430
2070
1530
1170
810
1590
1530
2010
2310
1710
1920
1440
2490




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time4 seconds
R Server'Sir Ronald Aylmer Fisher' @ fisher.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 & 4 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=211008&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]4 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=211008&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=211008&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 time4 seconds
R Server'Sir Ronald Aylmer Fisher' @ fisher.wessa.net







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
11620NANA203.945NA
21560NANA-286.992NA
31650NANA-328.711NA
41320NANA-627.461NA
51710NANA-161.68NA
61680NANA-214.648NA
718001981.451750231.445-181.445
818601906.761748.75158.008-46.7578
920701684.411737.5-53.0859385.586
1018002038.321730308.32-238.32
1117101806.61723.7582.8516-96.6016
1221302398.011710688.008-268.008
1318001902.71698.75203.945-102.695
1413501404.261691.25-286.992-54.2578
1515901340.041668.75-328.711249.961
1612001033.791661.25-627.461166.211
1716801514.571676.25-161.68165.43
1813801476.61691.25-214.648-96.6016
1918301922.71691.25231.445-92.6953
2016501844.261686.25158.008-194.258
2117401631.911685-53.0859108.086
2219501987.071678.75308.32-37.0703
2319201754.11671.2582.8516165.898
2422802349.261661.25688.008-69.2578
2516501855.21651.25203.945-205.195
2613801360.511647.5-286.99219.4922
2715301307.541636.25-328.711222.461
2811101003.791631.25-627.461106.211
2915901474.571636.25-161.68115.43
3012301415.351630-214.648-185.352
3117401855.21623.75231.445-115.195
3216501785.511627.5158.008-135.508
3314701571.911625-53.0859-101.914
3421001925.821617.5308.32174.18
3518901695.351612.582.8516194.648
3621602299.261611.25688.008-139.258
3716201821.451617.5203.945-201.445
3815001336.761623.75-286.992163.242
3913501300.041628.75-328.71149.9609
401110998.7891626.25-627.461111.211
4114701459.571621.25-161.6810.4297
4213201415.351630-214.648-95.3516
4318001883.951652.5231.445-83.9453
4417401809.261651.25158.008-69.2578
4515001576.911630-53.0859-76.9141
4620101933.321625308.3276.6797
4718601706.61623.7582.8516153.398
4824002310.511622.5688.00889.4922
4919201831.451627.5203.94588.5547
5011701341.761628.75-286.992-171.758
5111701300.041628.75-328.711-130.039
521170998.7891626.25-627.461171.211
5313801457.071618.75-161.68-77.0703
5413801406.61621.25-214.648-26.6016
5518601862.71631.25231.445-2.69531
5617101793.011635158.008-83.0078
5715301584.411637.5-53.0859-54.4141
5819201942.071633.75308.32-22.0703
5917701711.61628.7582.851658.3984
6025502328.011640688.008221.992
6120101861.451657.5203.945148.555
6211701390.511677.5-286.992-220.508
6312301365.041693.75-328.711-135.039
6410201068.791696.25-627.461-48.7891
6514101529.571691.25-161.68-119.57
6616201466.61681.25-214.648153.398
6720401898.951667.5231.445141.055
6820101830.511672.5158.008179.492
6916201635.661688.75-53.0859-15.6641
7018901999.571691.25308.32-109.57
7116801775.351692.582.8516-95.3516
7224002389.261701.25688.00810.7422
7318301912.71708.75203.945-82.6953
7414701420.511707.5-286.99249.4922
7513201368.791697.5-328.711-48.7891
769901070.041697.5-627.461-80.0391
7714701540.821702.5-161.68-70.8203
7817701489.11703.75-214.648280.898
7920701948.951717.5231.445121.055
8019501886.761728.75158.00863.2422
8114401679.411732.5-53.0859-239.414
8220702040.821732.5308.3229.1797
8316201812.85173082.8516-192.852
8424902403.011715688.00886.9922
8520701906.451702.5203.945163.555
8615001425.511712.5-286.99274.4922
8713801398.791727.5-328.711-18.7891
889301108.791736.25-627.461-178.789
8914701573.321735-161.68-103.32
9014101515.351730-214.648-105.352
9121301958.951727.5231.445171.055
9221301886.761728.75158.008243.242
9316201668.161721.25-53.0859-48.1641
9421002015.821707.5308.3284.1797
9515601790.351707.582.8516-230.352
9624302405.511717.5688.00824.4922
9720701921.451717.5203.945148.555
9815301433.011720-286.99296.9922
9911701402.541731.25-328.711-232.539
1008101100.041727.5-627.461-290.039
10115901553.321715-161.6836.6797
10215301497.851712.5-214.64832.1484
1032010NANA231.445NA
1042310NANA158.008NA
1051710NANA-53.0859NA
1061920NANA308.32NA
1071440NANA82.8516NA
1082490NANA688.008NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 1620 & NA & NA & 203.945 & NA \tabularnewline
2 & 1560 & NA & NA & -286.992 & NA \tabularnewline
3 & 1650 & NA & NA & -328.711 & NA \tabularnewline
4 & 1320 & NA & NA & -627.461 & NA \tabularnewline
5 & 1710 & NA & NA & -161.68 & NA \tabularnewline
6 & 1680 & NA & NA & -214.648 & NA \tabularnewline
7 & 1800 & 1981.45 & 1750 & 231.445 & -181.445 \tabularnewline
8 & 1860 & 1906.76 & 1748.75 & 158.008 & -46.7578 \tabularnewline
9 & 2070 & 1684.41 & 1737.5 & -53.0859 & 385.586 \tabularnewline
10 & 1800 & 2038.32 & 1730 & 308.32 & -238.32 \tabularnewline
11 & 1710 & 1806.6 & 1723.75 & 82.8516 & -96.6016 \tabularnewline
12 & 2130 & 2398.01 & 1710 & 688.008 & -268.008 \tabularnewline
13 & 1800 & 1902.7 & 1698.75 & 203.945 & -102.695 \tabularnewline
14 & 1350 & 1404.26 & 1691.25 & -286.992 & -54.2578 \tabularnewline
15 & 1590 & 1340.04 & 1668.75 & -328.711 & 249.961 \tabularnewline
16 & 1200 & 1033.79 & 1661.25 & -627.461 & 166.211 \tabularnewline
17 & 1680 & 1514.57 & 1676.25 & -161.68 & 165.43 \tabularnewline
18 & 1380 & 1476.6 & 1691.25 & -214.648 & -96.6016 \tabularnewline
19 & 1830 & 1922.7 & 1691.25 & 231.445 & -92.6953 \tabularnewline
20 & 1650 & 1844.26 & 1686.25 & 158.008 & -194.258 \tabularnewline
21 & 1740 & 1631.91 & 1685 & -53.0859 & 108.086 \tabularnewline
22 & 1950 & 1987.07 & 1678.75 & 308.32 & -37.0703 \tabularnewline
23 & 1920 & 1754.1 & 1671.25 & 82.8516 & 165.898 \tabularnewline
24 & 2280 & 2349.26 & 1661.25 & 688.008 & -69.2578 \tabularnewline
25 & 1650 & 1855.2 & 1651.25 & 203.945 & -205.195 \tabularnewline
26 & 1380 & 1360.51 & 1647.5 & -286.992 & 19.4922 \tabularnewline
27 & 1530 & 1307.54 & 1636.25 & -328.711 & 222.461 \tabularnewline
28 & 1110 & 1003.79 & 1631.25 & -627.461 & 106.211 \tabularnewline
29 & 1590 & 1474.57 & 1636.25 & -161.68 & 115.43 \tabularnewline
30 & 1230 & 1415.35 & 1630 & -214.648 & -185.352 \tabularnewline
31 & 1740 & 1855.2 & 1623.75 & 231.445 & -115.195 \tabularnewline
32 & 1650 & 1785.51 & 1627.5 & 158.008 & -135.508 \tabularnewline
33 & 1470 & 1571.91 & 1625 & -53.0859 & -101.914 \tabularnewline
34 & 2100 & 1925.82 & 1617.5 & 308.32 & 174.18 \tabularnewline
35 & 1890 & 1695.35 & 1612.5 & 82.8516 & 194.648 \tabularnewline
36 & 2160 & 2299.26 & 1611.25 & 688.008 & -139.258 \tabularnewline
37 & 1620 & 1821.45 & 1617.5 & 203.945 & -201.445 \tabularnewline
38 & 1500 & 1336.76 & 1623.75 & -286.992 & 163.242 \tabularnewline
39 & 1350 & 1300.04 & 1628.75 & -328.711 & 49.9609 \tabularnewline
40 & 1110 & 998.789 & 1626.25 & -627.461 & 111.211 \tabularnewline
41 & 1470 & 1459.57 & 1621.25 & -161.68 & 10.4297 \tabularnewline
42 & 1320 & 1415.35 & 1630 & -214.648 & -95.3516 \tabularnewline
43 & 1800 & 1883.95 & 1652.5 & 231.445 & -83.9453 \tabularnewline
44 & 1740 & 1809.26 & 1651.25 & 158.008 & -69.2578 \tabularnewline
45 & 1500 & 1576.91 & 1630 & -53.0859 & -76.9141 \tabularnewline
46 & 2010 & 1933.32 & 1625 & 308.32 & 76.6797 \tabularnewline
47 & 1860 & 1706.6 & 1623.75 & 82.8516 & 153.398 \tabularnewline
48 & 2400 & 2310.51 & 1622.5 & 688.008 & 89.4922 \tabularnewline
49 & 1920 & 1831.45 & 1627.5 & 203.945 & 88.5547 \tabularnewline
50 & 1170 & 1341.76 & 1628.75 & -286.992 & -171.758 \tabularnewline
51 & 1170 & 1300.04 & 1628.75 & -328.711 & -130.039 \tabularnewline
52 & 1170 & 998.789 & 1626.25 & -627.461 & 171.211 \tabularnewline
53 & 1380 & 1457.07 & 1618.75 & -161.68 & -77.0703 \tabularnewline
54 & 1380 & 1406.6 & 1621.25 & -214.648 & -26.6016 \tabularnewline
55 & 1860 & 1862.7 & 1631.25 & 231.445 & -2.69531 \tabularnewline
56 & 1710 & 1793.01 & 1635 & 158.008 & -83.0078 \tabularnewline
57 & 1530 & 1584.41 & 1637.5 & -53.0859 & -54.4141 \tabularnewline
58 & 1920 & 1942.07 & 1633.75 & 308.32 & -22.0703 \tabularnewline
59 & 1770 & 1711.6 & 1628.75 & 82.8516 & 58.3984 \tabularnewline
60 & 2550 & 2328.01 & 1640 & 688.008 & 221.992 \tabularnewline
61 & 2010 & 1861.45 & 1657.5 & 203.945 & 148.555 \tabularnewline
62 & 1170 & 1390.51 & 1677.5 & -286.992 & -220.508 \tabularnewline
63 & 1230 & 1365.04 & 1693.75 & -328.711 & -135.039 \tabularnewline
64 & 1020 & 1068.79 & 1696.25 & -627.461 & -48.7891 \tabularnewline
65 & 1410 & 1529.57 & 1691.25 & -161.68 & -119.57 \tabularnewline
66 & 1620 & 1466.6 & 1681.25 & -214.648 & 153.398 \tabularnewline
67 & 2040 & 1898.95 & 1667.5 & 231.445 & 141.055 \tabularnewline
68 & 2010 & 1830.51 & 1672.5 & 158.008 & 179.492 \tabularnewline
69 & 1620 & 1635.66 & 1688.75 & -53.0859 & -15.6641 \tabularnewline
70 & 1890 & 1999.57 & 1691.25 & 308.32 & -109.57 \tabularnewline
71 & 1680 & 1775.35 & 1692.5 & 82.8516 & -95.3516 \tabularnewline
72 & 2400 & 2389.26 & 1701.25 & 688.008 & 10.7422 \tabularnewline
73 & 1830 & 1912.7 & 1708.75 & 203.945 & -82.6953 \tabularnewline
74 & 1470 & 1420.51 & 1707.5 & -286.992 & 49.4922 \tabularnewline
75 & 1320 & 1368.79 & 1697.5 & -328.711 & -48.7891 \tabularnewline
76 & 990 & 1070.04 & 1697.5 & -627.461 & -80.0391 \tabularnewline
77 & 1470 & 1540.82 & 1702.5 & -161.68 & -70.8203 \tabularnewline
78 & 1770 & 1489.1 & 1703.75 & -214.648 & 280.898 \tabularnewline
79 & 2070 & 1948.95 & 1717.5 & 231.445 & 121.055 \tabularnewline
80 & 1950 & 1886.76 & 1728.75 & 158.008 & 63.2422 \tabularnewline
81 & 1440 & 1679.41 & 1732.5 & -53.0859 & -239.414 \tabularnewline
82 & 2070 & 2040.82 & 1732.5 & 308.32 & 29.1797 \tabularnewline
83 & 1620 & 1812.85 & 1730 & 82.8516 & -192.852 \tabularnewline
84 & 2490 & 2403.01 & 1715 & 688.008 & 86.9922 \tabularnewline
85 & 2070 & 1906.45 & 1702.5 & 203.945 & 163.555 \tabularnewline
86 & 1500 & 1425.51 & 1712.5 & -286.992 & 74.4922 \tabularnewline
87 & 1380 & 1398.79 & 1727.5 & -328.711 & -18.7891 \tabularnewline
88 & 930 & 1108.79 & 1736.25 & -627.461 & -178.789 \tabularnewline
89 & 1470 & 1573.32 & 1735 & -161.68 & -103.32 \tabularnewline
90 & 1410 & 1515.35 & 1730 & -214.648 & -105.352 \tabularnewline
91 & 2130 & 1958.95 & 1727.5 & 231.445 & 171.055 \tabularnewline
92 & 2130 & 1886.76 & 1728.75 & 158.008 & 243.242 \tabularnewline
93 & 1620 & 1668.16 & 1721.25 & -53.0859 & -48.1641 \tabularnewline
94 & 2100 & 2015.82 & 1707.5 & 308.32 & 84.1797 \tabularnewline
95 & 1560 & 1790.35 & 1707.5 & 82.8516 & -230.352 \tabularnewline
96 & 2430 & 2405.51 & 1717.5 & 688.008 & 24.4922 \tabularnewline
97 & 2070 & 1921.45 & 1717.5 & 203.945 & 148.555 \tabularnewline
98 & 1530 & 1433.01 & 1720 & -286.992 & 96.9922 \tabularnewline
99 & 1170 & 1402.54 & 1731.25 & -328.711 & -232.539 \tabularnewline
100 & 810 & 1100.04 & 1727.5 & -627.461 & -290.039 \tabularnewline
101 & 1590 & 1553.32 & 1715 & -161.68 & 36.6797 \tabularnewline
102 & 1530 & 1497.85 & 1712.5 & -214.648 & 32.1484 \tabularnewline
103 & 2010 & NA & NA & 231.445 & NA \tabularnewline
104 & 2310 & NA & NA & 158.008 & NA \tabularnewline
105 & 1710 & NA & NA & -53.0859 & NA \tabularnewline
106 & 1920 & NA & NA & 308.32 & NA \tabularnewline
107 & 1440 & NA & NA & 82.8516 & NA \tabularnewline
108 & 2490 & NA & NA & 688.008 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=211008&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]1620[/C][C]NA[/C][C]NA[/C][C]203.945[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]1560[/C][C]NA[/C][C]NA[/C][C]-286.992[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]1650[/C][C]NA[/C][C]NA[/C][C]-328.711[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]1320[/C][C]NA[/C][C]NA[/C][C]-627.461[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]1710[/C][C]NA[/C][C]NA[/C][C]-161.68[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]1680[/C][C]NA[/C][C]NA[/C][C]-214.648[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]1800[/C][C]1981.45[/C][C]1750[/C][C]231.445[/C][C]-181.445[/C][/ROW]
[ROW][C]8[/C][C]1860[/C][C]1906.76[/C][C]1748.75[/C][C]158.008[/C][C]-46.7578[/C][/ROW]
[ROW][C]9[/C][C]2070[/C][C]1684.41[/C][C]1737.5[/C][C]-53.0859[/C][C]385.586[/C][/ROW]
[ROW][C]10[/C][C]1800[/C][C]2038.32[/C][C]1730[/C][C]308.32[/C][C]-238.32[/C][/ROW]
[ROW][C]11[/C][C]1710[/C][C]1806.6[/C][C]1723.75[/C][C]82.8516[/C][C]-96.6016[/C][/ROW]
[ROW][C]12[/C][C]2130[/C][C]2398.01[/C][C]1710[/C][C]688.008[/C][C]-268.008[/C][/ROW]
[ROW][C]13[/C][C]1800[/C][C]1902.7[/C][C]1698.75[/C][C]203.945[/C][C]-102.695[/C][/ROW]
[ROW][C]14[/C][C]1350[/C][C]1404.26[/C][C]1691.25[/C][C]-286.992[/C][C]-54.2578[/C][/ROW]
[ROW][C]15[/C][C]1590[/C][C]1340.04[/C][C]1668.75[/C][C]-328.711[/C][C]249.961[/C][/ROW]
[ROW][C]16[/C][C]1200[/C][C]1033.79[/C][C]1661.25[/C][C]-627.461[/C][C]166.211[/C][/ROW]
[ROW][C]17[/C][C]1680[/C][C]1514.57[/C][C]1676.25[/C][C]-161.68[/C][C]165.43[/C][/ROW]
[ROW][C]18[/C][C]1380[/C][C]1476.6[/C][C]1691.25[/C][C]-214.648[/C][C]-96.6016[/C][/ROW]
[ROW][C]19[/C][C]1830[/C][C]1922.7[/C][C]1691.25[/C][C]231.445[/C][C]-92.6953[/C][/ROW]
[ROW][C]20[/C][C]1650[/C][C]1844.26[/C][C]1686.25[/C][C]158.008[/C][C]-194.258[/C][/ROW]
[ROW][C]21[/C][C]1740[/C][C]1631.91[/C][C]1685[/C][C]-53.0859[/C][C]108.086[/C][/ROW]
[ROW][C]22[/C][C]1950[/C][C]1987.07[/C][C]1678.75[/C][C]308.32[/C][C]-37.0703[/C][/ROW]
[ROW][C]23[/C][C]1920[/C][C]1754.1[/C][C]1671.25[/C][C]82.8516[/C][C]165.898[/C][/ROW]
[ROW][C]24[/C][C]2280[/C][C]2349.26[/C][C]1661.25[/C][C]688.008[/C][C]-69.2578[/C][/ROW]
[ROW][C]25[/C][C]1650[/C][C]1855.2[/C][C]1651.25[/C][C]203.945[/C][C]-205.195[/C][/ROW]
[ROW][C]26[/C][C]1380[/C][C]1360.51[/C][C]1647.5[/C][C]-286.992[/C][C]19.4922[/C][/ROW]
[ROW][C]27[/C][C]1530[/C][C]1307.54[/C][C]1636.25[/C][C]-328.711[/C][C]222.461[/C][/ROW]
[ROW][C]28[/C][C]1110[/C][C]1003.79[/C][C]1631.25[/C][C]-627.461[/C][C]106.211[/C][/ROW]
[ROW][C]29[/C][C]1590[/C][C]1474.57[/C][C]1636.25[/C][C]-161.68[/C][C]115.43[/C][/ROW]
[ROW][C]30[/C][C]1230[/C][C]1415.35[/C][C]1630[/C][C]-214.648[/C][C]-185.352[/C][/ROW]
[ROW][C]31[/C][C]1740[/C][C]1855.2[/C][C]1623.75[/C][C]231.445[/C][C]-115.195[/C][/ROW]
[ROW][C]32[/C][C]1650[/C][C]1785.51[/C][C]1627.5[/C][C]158.008[/C][C]-135.508[/C][/ROW]
[ROW][C]33[/C][C]1470[/C][C]1571.91[/C][C]1625[/C][C]-53.0859[/C][C]-101.914[/C][/ROW]
[ROW][C]34[/C][C]2100[/C][C]1925.82[/C][C]1617.5[/C][C]308.32[/C][C]174.18[/C][/ROW]
[ROW][C]35[/C][C]1890[/C][C]1695.35[/C][C]1612.5[/C][C]82.8516[/C][C]194.648[/C][/ROW]
[ROW][C]36[/C][C]2160[/C][C]2299.26[/C][C]1611.25[/C][C]688.008[/C][C]-139.258[/C][/ROW]
[ROW][C]37[/C][C]1620[/C][C]1821.45[/C][C]1617.5[/C][C]203.945[/C][C]-201.445[/C][/ROW]
[ROW][C]38[/C][C]1500[/C][C]1336.76[/C][C]1623.75[/C][C]-286.992[/C][C]163.242[/C][/ROW]
[ROW][C]39[/C][C]1350[/C][C]1300.04[/C][C]1628.75[/C][C]-328.711[/C][C]49.9609[/C][/ROW]
[ROW][C]40[/C][C]1110[/C][C]998.789[/C][C]1626.25[/C][C]-627.461[/C][C]111.211[/C][/ROW]
[ROW][C]41[/C][C]1470[/C][C]1459.57[/C][C]1621.25[/C][C]-161.68[/C][C]10.4297[/C][/ROW]
[ROW][C]42[/C][C]1320[/C][C]1415.35[/C][C]1630[/C][C]-214.648[/C][C]-95.3516[/C][/ROW]
[ROW][C]43[/C][C]1800[/C][C]1883.95[/C][C]1652.5[/C][C]231.445[/C][C]-83.9453[/C][/ROW]
[ROW][C]44[/C][C]1740[/C][C]1809.26[/C][C]1651.25[/C][C]158.008[/C][C]-69.2578[/C][/ROW]
[ROW][C]45[/C][C]1500[/C][C]1576.91[/C][C]1630[/C][C]-53.0859[/C][C]-76.9141[/C][/ROW]
[ROW][C]46[/C][C]2010[/C][C]1933.32[/C][C]1625[/C][C]308.32[/C][C]76.6797[/C][/ROW]
[ROW][C]47[/C][C]1860[/C][C]1706.6[/C][C]1623.75[/C][C]82.8516[/C][C]153.398[/C][/ROW]
[ROW][C]48[/C][C]2400[/C][C]2310.51[/C][C]1622.5[/C][C]688.008[/C][C]89.4922[/C][/ROW]
[ROW][C]49[/C][C]1920[/C][C]1831.45[/C][C]1627.5[/C][C]203.945[/C][C]88.5547[/C][/ROW]
[ROW][C]50[/C][C]1170[/C][C]1341.76[/C][C]1628.75[/C][C]-286.992[/C][C]-171.758[/C][/ROW]
[ROW][C]51[/C][C]1170[/C][C]1300.04[/C][C]1628.75[/C][C]-328.711[/C][C]-130.039[/C][/ROW]
[ROW][C]52[/C][C]1170[/C][C]998.789[/C][C]1626.25[/C][C]-627.461[/C][C]171.211[/C][/ROW]
[ROW][C]53[/C][C]1380[/C][C]1457.07[/C][C]1618.75[/C][C]-161.68[/C][C]-77.0703[/C][/ROW]
[ROW][C]54[/C][C]1380[/C][C]1406.6[/C][C]1621.25[/C][C]-214.648[/C][C]-26.6016[/C][/ROW]
[ROW][C]55[/C][C]1860[/C][C]1862.7[/C][C]1631.25[/C][C]231.445[/C][C]-2.69531[/C][/ROW]
[ROW][C]56[/C][C]1710[/C][C]1793.01[/C][C]1635[/C][C]158.008[/C][C]-83.0078[/C][/ROW]
[ROW][C]57[/C][C]1530[/C][C]1584.41[/C][C]1637.5[/C][C]-53.0859[/C][C]-54.4141[/C][/ROW]
[ROW][C]58[/C][C]1920[/C][C]1942.07[/C][C]1633.75[/C][C]308.32[/C][C]-22.0703[/C][/ROW]
[ROW][C]59[/C][C]1770[/C][C]1711.6[/C][C]1628.75[/C][C]82.8516[/C][C]58.3984[/C][/ROW]
[ROW][C]60[/C][C]2550[/C][C]2328.01[/C][C]1640[/C][C]688.008[/C][C]221.992[/C][/ROW]
[ROW][C]61[/C][C]2010[/C][C]1861.45[/C][C]1657.5[/C][C]203.945[/C][C]148.555[/C][/ROW]
[ROW][C]62[/C][C]1170[/C][C]1390.51[/C][C]1677.5[/C][C]-286.992[/C][C]-220.508[/C][/ROW]
[ROW][C]63[/C][C]1230[/C][C]1365.04[/C][C]1693.75[/C][C]-328.711[/C][C]-135.039[/C][/ROW]
[ROW][C]64[/C][C]1020[/C][C]1068.79[/C][C]1696.25[/C][C]-627.461[/C][C]-48.7891[/C][/ROW]
[ROW][C]65[/C][C]1410[/C][C]1529.57[/C][C]1691.25[/C][C]-161.68[/C][C]-119.57[/C][/ROW]
[ROW][C]66[/C][C]1620[/C][C]1466.6[/C][C]1681.25[/C][C]-214.648[/C][C]153.398[/C][/ROW]
[ROW][C]67[/C][C]2040[/C][C]1898.95[/C][C]1667.5[/C][C]231.445[/C][C]141.055[/C][/ROW]
[ROW][C]68[/C][C]2010[/C][C]1830.51[/C][C]1672.5[/C][C]158.008[/C][C]179.492[/C][/ROW]
[ROW][C]69[/C][C]1620[/C][C]1635.66[/C][C]1688.75[/C][C]-53.0859[/C][C]-15.6641[/C][/ROW]
[ROW][C]70[/C][C]1890[/C][C]1999.57[/C][C]1691.25[/C][C]308.32[/C][C]-109.57[/C][/ROW]
[ROW][C]71[/C][C]1680[/C][C]1775.35[/C][C]1692.5[/C][C]82.8516[/C][C]-95.3516[/C][/ROW]
[ROW][C]72[/C][C]2400[/C][C]2389.26[/C][C]1701.25[/C][C]688.008[/C][C]10.7422[/C][/ROW]
[ROW][C]73[/C][C]1830[/C][C]1912.7[/C][C]1708.75[/C][C]203.945[/C][C]-82.6953[/C][/ROW]
[ROW][C]74[/C][C]1470[/C][C]1420.51[/C][C]1707.5[/C][C]-286.992[/C][C]49.4922[/C][/ROW]
[ROW][C]75[/C][C]1320[/C][C]1368.79[/C][C]1697.5[/C][C]-328.711[/C][C]-48.7891[/C][/ROW]
[ROW][C]76[/C][C]990[/C][C]1070.04[/C][C]1697.5[/C][C]-627.461[/C][C]-80.0391[/C][/ROW]
[ROW][C]77[/C][C]1470[/C][C]1540.82[/C][C]1702.5[/C][C]-161.68[/C][C]-70.8203[/C][/ROW]
[ROW][C]78[/C][C]1770[/C][C]1489.1[/C][C]1703.75[/C][C]-214.648[/C][C]280.898[/C][/ROW]
[ROW][C]79[/C][C]2070[/C][C]1948.95[/C][C]1717.5[/C][C]231.445[/C][C]121.055[/C][/ROW]
[ROW][C]80[/C][C]1950[/C][C]1886.76[/C][C]1728.75[/C][C]158.008[/C][C]63.2422[/C][/ROW]
[ROW][C]81[/C][C]1440[/C][C]1679.41[/C][C]1732.5[/C][C]-53.0859[/C][C]-239.414[/C][/ROW]
[ROW][C]82[/C][C]2070[/C][C]2040.82[/C][C]1732.5[/C][C]308.32[/C][C]29.1797[/C][/ROW]
[ROW][C]83[/C][C]1620[/C][C]1812.85[/C][C]1730[/C][C]82.8516[/C][C]-192.852[/C][/ROW]
[ROW][C]84[/C][C]2490[/C][C]2403.01[/C][C]1715[/C][C]688.008[/C][C]86.9922[/C][/ROW]
[ROW][C]85[/C][C]2070[/C][C]1906.45[/C][C]1702.5[/C][C]203.945[/C][C]163.555[/C][/ROW]
[ROW][C]86[/C][C]1500[/C][C]1425.51[/C][C]1712.5[/C][C]-286.992[/C][C]74.4922[/C][/ROW]
[ROW][C]87[/C][C]1380[/C][C]1398.79[/C][C]1727.5[/C][C]-328.711[/C][C]-18.7891[/C][/ROW]
[ROW][C]88[/C][C]930[/C][C]1108.79[/C][C]1736.25[/C][C]-627.461[/C][C]-178.789[/C][/ROW]
[ROW][C]89[/C][C]1470[/C][C]1573.32[/C][C]1735[/C][C]-161.68[/C][C]-103.32[/C][/ROW]
[ROW][C]90[/C][C]1410[/C][C]1515.35[/C][C]1730[/C][C]-214.648[/C][C]-105.352[/C][/ROW]
[ROW][C]91[/C][C]2130[/C][C]1958.95[/C][C]1727.5[/C][C]231.445[/C][C]171.055[/C][/ROW]
[ROW][C]92[/C][C]2130[/C][C]1886.76[/C][C]1728.75[/C][C]158.008[/C][C]243.242[/C][/ROW]
[ROW][C]93[/C][C]1620[/C][C]1668.16[/C][C]1721.25[/C][C]-53.0859[/C][C]-48.1641[/C][/ROW]
[ROW][C]94[/C][C]2100[/C][C]2015.82[/C][C]1707.5[/C][C]308.32[/C][C]84.1797[/C][/ROW]
[ROW][C]95[/C][C]1560[/C][C]1790.35[/C][C]1707.5[/C][C]82.8516[/C][C]-230.352[/C][/ROW]
[ROW][C]96[/C][C]2430[/C][C]2405.51[/C][C]1717.5[/C][C]688.008[/C][C]24.4922[/C][/ROW]
[ROW][C]97[/C][C]2070[/C][C]1921.45[/C][C]1717.5[/C][C]203.945[/C][C]148.555[/C][/ROW]
[ROW][C]98[/C][C]1530[/C][C]1433.01[/C][C]1720[/C][C]-286.992[/C][C]96.9922[/C][/ROW]
[ROW][C]99[/C][C]1170[/C][C]1402.54[/C][C]1731.25[/C][C]-328.711[/C][C]-232.539[/C][/ROW]
[ROW][C]100[/C][C]810[/C][C]1100.04[/C][C]1727.5[/C][C]-627.461[/C][C]-290.039[/C][/ROW]
[ROW][C]101[/C][C]1590[/C][C]1553.32[/C][C]1715[/C][C]-161.68[/C][C]36.6797[/C][/ROW]
[ROW][C]102[/C][C]1530[/C][C]1497.85[/C][C]1712.5[/C][C]-214.648[/C][C]32.1484[/C][/ROW]
[ROW][C]103[/C][C]2010[/C][C]NA[/C][C]NA[/C][C]231.445[/C][C]NA[/C][/ROW]
[ROW][C]104[/C][C]2310[/C][C]NA[/C][C]NA[/C][C]158.008[/C][C]NA[/C][/ROW]
[ROW][C]105[/C][C]1710[/C][C]NA[/C][C]NA[/C][C]-53.0859[/C][C]NA[/C][/ROW]
[ROW][C]106[/C][C]1920[/C][C]NA[/C][C]NA[/C][C]308.32[/C][C]NA[/C][/ROW]
[ROW][C]107[/C][C]1440[/C][C]NA[/C][C]NA[/C][C]82.8516[/C][C]NA[/C][/ROW]
[ROW][C]108[/C][C]2490[/C][C]NA[/C][C]NA[/C][C]688.008[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=211008&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=211008&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
11620NANA203.945NA
21560NANA-286.992NA
31650NANA-328.711NA
41320NANA-627.461NA
51710NANA-161.68NA
61680NANA-214.648NA
718001981.451750231.445-181.445
818601906.761748.75158.008-46.7578
920701684.411737.5-53.0859385.586
1018002038.321730308.32-238.32
1117101806.61723.7582.8516-96.6016
1221302398.011710688.008-268.008
1318001902.71698.75203.945-102.695
1413501404.261691.25-286.992-54.2578
1515901340.041668.75-328.711249.961
1612001033.791661.25-627.461166.211
1716801514.571676.25-161.68165.43
1813801476.61691.25-214.648-96.6016
1918301922.71691.25231.445-92.6953
2016501844.261686.25158.008-194.258
2117401631.911685-53.0859108.086
2219501987.071678.75308.32-37.0703
2319201754.11671.2582.8516165.898
2422802349.261661.25688.008-69.2578
2516501855.21651.25203.945-205.195
2613801360.511647.5-286.99219.4922
2715301307.541636.25-328.711222.461
2811101003.791631.25-627.461106.211
2915901474.571636.25-161.68115.43
3012301415.351630-214.648-185.352
3117401855.21623.75231.445-115.195
3216501785.511627.5158.008-135.508
3314701571.911625-53.0859-101.914
3421001925.821617.5308.32174.18
3518901695.351612.582.8516194.648
3621602299.261611.25688.008-139.258
3716201821.451617.5203.945-201.445
3815001336.761623.75-286.992163.242
3913501300.041628.75-328.71149.9609
401110998.7891626.25-627.461111.211
4114701459.571621.25-161.6810.4297
4213201415.351630-214.648-95.3516
4318001883.951652.5231.445-83.9453
4417401809.261651.25158.008-69.2578
4515001576.911630-53.0859-76.9141
4620101933.321625308.3276.6797
4718601706.61623.7582.8516153.398
4824002310.511622.5688.00889.4922
4919201831.451627.5203.94588.5547
5011701341.761628.75-286.992-171.758
5111701300.041628.75-328.711-130.039
521170998.7891626.25-627.461171.211
5313801457.071618.75-161.68-77.0703
5413801406.61621.25-214.648-26.6016
5518601862.71631.25231.445-2.69531
5617101793.011635158.008-83.0078
5715301584.411637.5-53.0859-54.4141
5819201942.071633.75308.32-22.0703
5917701711.61628.7582.851658.3984
6025502328.011640688.008221.992
6120101861.451657.5203.945148.555
6211701390.511677.5-286.992-220.508
6312301365.041693.75-328.711-135.039
6410201068.791696.25-627.461-48.7891
6514101529.571691.25-161.68-119.57
6616201466.61681.25-214.648153.398
6720401898.951667.5231.445141.055
6820101830.511672.5158.008179.492
6916201635.661688.75-53.0859-15.6641
7018901999.571691.25308.32-109.57
7116801775.351692.582.8516-95.3516
7224002389.261701.25688.00810.7422
7318301912.71708.75203.945-82.6953
7414701420.511707.5-286.99249.4922
7513201368.791697.5-328.711-48.7891
769901070.041697.5-627.461-80.0391
7714701540.821702.5-161.68-70.8203
7817701489.11703.75-214.648280.898
7920701948.951717.5231.445121.055
8019501886.761728.75158.00863.2422
8114401679.411732.5-53.0859-239.414
8220702040.821732.5308.3229.1797
8316201812.85173082.8516-192.852
8424902403.011715688.00886.9922
8520701906.451702.5203.945163.555
8615001425.511712.5-286.99274.4922
8713801398.791727.5-328.711-18.7891
889301108.791736.25-627.461-178.789
8914701573.321735-161.68-103.32
9014101515.351730-214.648-105.352
9121301958.951727.5231.445171.055
9221301886.761728.75158.008243.242
9316201668.161721.25-53.0859-48.1641
9421002015.821707.5308.3284.1797
9515601790.351707.582.8516-230.352
9624302405.511717.5688.00824.4922
9720701921.451717.5203.945148.555
9815301433.011720-286.99296.9922
9911701402.541731.25-328.711-232.539
1008101100.041727.5-627.461-290.039
10115901553.321715-161.6836.6797
10215301497.851712.5-214.64832.1484
1032010NANA231.445NA
1042310NANA158.008NA
1051710NANA-53.0859NA
1061920NANA308.32NA
1071440NANA82.8516NA
1082490NANA688.008NA



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')