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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 computationFri, 23 Dec 2016 11:15:28 +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/23/t1482488145eg5r4tcm9tzm8sv.htm/, Retrieved Tue, 07 May 2024 09:25:26 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=302834, Retrieved Tue, 07 May 2024 09:25:26 +0000
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Estimated Impact62
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-       [Classical Decomposition] [classical decompo...] [2016-12-23 10:15:28] [bd7223969ac5b08f41438741a34686d6] [Current]
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Dataseries X:
1785
2040
2060
1825
1910
1710
1925
2025
1955
1940
1925
1870
1745
1800
1795
1760
1815
1910
1785
1955
1930
1850
1735
1785
1775
1875
2040
1705
1985
1850
1885
1670
2260
2350
1815
1850
2340
2245
2315
2455
2170
1825
2095
2070
2110
2245
1850
1770
1845
1910
1815
1770
1750
1635
1560
1785
1745
1735
1690
1600
1420
1480
1615
1585
1510
1540
1205
1485
1350
1210
1350
1235
1080
1200
1230
1205
1170
1095
1100
1490
1130
1125
1260
1320
1370
1220
1395
1540
1455
1310
1375
1645
1305
1680
1155
1245
1545
1375
1810
2110
1965
2435
2600
2270
2250
2840
1960
2340
2430
2390
2380
3090
3100
3040
3295
2665
4350
3470
3285
3610
3310
3850
3880
3670
4015
5180




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=302834&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=302834&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=302834&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
11785NANA-63.1341NA
22040NANA-78.5507NA
32060NANA7.39834NA
41825NANA80.8937NA
51910NANA34.1807NA
61710NANA-11.2822NA
719251915.991912.53.488629.01138
820251913.931900.8313.0928111.074
919552010.261879.79130.468-55.2595
1019401987.241866.04121.197-47.2386
1119251722.111859.38-137.261202.886
1218701763.261863.75-100.491106.741
1317451803.121866.25-63.1341-58.1159
1418001778.951857.5-78.550721.0507
1517951860.941853.547.39834-65.94
1617601929.641848.7580.8937-169.644
1718151871.261837.0834.1807-56.2641
1819101814.341825.62-11.282295.6572
1917851826.821823.333.48862-41.822
2019551840.81827.7113.0928114.199
2119301971.511841.04130.468-41.5095
2218501970.161848.96121.197-120.155
2317351716.491853.75-137.26118.5114
2417851757.841858.33-100.49127.1572
2517751796.871860-63.1341-21.8659
2618751773.741852.29-78.5507101.259
2720401861.571854.177.39834178.435
2817051969.641888.7580.8937-264.644
2919851947.11912.9234.180737.9026
3018501907.681918.96-11.2822-57.6761
3118851948.71945.213.48862-63.697
3216701997.261984.1713.0928-327.259
3322602141.512011.04130.468118.491
3423502174.952053.75121.197175.053
3518151955.452092.71-137.261-140.447
3618501998.882099.38-100.491-148.884
3723402043.952107.08-63.1341296.051
3822452053.952132.5-78.5507191.051
3923152150.322142.927.39834164.685
4024552213.192132.2980.8937241.815
4121702163.562129.3734.18076.44425
4218252116.222127.5-11.2822-291.218
4320952107.032103.543.48862-12.0303
4420702082.052068.9613.0928-12.0511
4521102164.632034.17130.468-54.6345
4622452105.991984.79121.197139.011
4718501801.491938.75-137.26148.5114
4817701812.841913.33-100.491-42.8428
4918451819.991883.12-63.134125.0091
5019101770.411848.96-78.5507139.592
5118151829.271821.887.39834-14.2733
5217701866.311785.4280.8937-96.3104
5317501791.681757.534.1807-41.6807
5416351732.471743.75-11.2822-97.4678
5515601722.451718.963.48862-162.447
5617851696.431683.3313.092888.5739
5717451787.551657.08130.468-42.5511
5817351762.241641.04121.197-27.2386
5916901486.071623.33-137.261203.928
6016001508.881609.38-100.49191.1155
6114201527.491590.62-63.1341-107.491
6214801484.781563.33-78.5507-4.7826
6316151541.771534.377.3983473.2267
6415851576.941496.0480.89378.06462
6515101494.18146034.180715.8193
6615401419.341430.62-11.2822120.657
6712051404.741401.253.48862-199.739
6814851388.511375.4213.092896.4905
6913501478.181347.71130.468-128.176
7012101437.031315.83121.197-227.03
7113501148.571285.83-137.261201.428
7212351152.631253.12-100.49182.3655
7310801167.071230.21-63.1341-87.0743
7412001147.491226.04-78.550752.5091
7512301224.481217.087.398345.51833
7612051285.271204.3880.8937-80.2687
7711701231.261197.0834.1807-61.2641
7810951185.591196.87-11.2822-90.5928
7911001215.991212.53.48862-115.989
8014901238.511225.4213.0928251.491
8111301363.591233.12130.468-233.593
8211251375.161253.96121.197-250.155
8312601142.531279.79-137.261117.47
8413201200.131300.62-100.491119.866
8513701257.911321.04-63.1341112.092
8612201260.411338.96-78.5507-40.4076
8713951360.111352.717.3983434.8933
8815401464.021383.1280.893775.9813
8914551436.061401.8834.180718.9443
9013101383.091394.38-11.2822-73.0928
9113751402.031398.543.48862-27.0303
9216451425.381412.2913.0928219.616
9313051566.511436.04130.468-261.509
9416801598.281477.08121.19781.7197
9511551384.821522.08-137.261-229.822
9612451489.721590.21-100.491-244.718
9715451624.991688.12-63.1341-79.9909
9813751686.661765.21-78.5507-311.658
9918101838.021830.627.39834-28.0233
10021101999.231918.3380.8937110.773
10119652034.392000.2134.1807-69.3891
10224352068.092079.38-11.2822366.907
10326002165.362161.883.48862434.636
10422702254.132241.0413.092815.8655
10522502437.552307.08130.468-187.551
10628402492.862371.67121.197347.136
10719602322.532459.79-137.261-362.53
10823402431.82532.29-100.491-91.8011
10924302523.322586.46-63.1341-93.3243
11023902553.322631.88-78.5507-163.324
11123802743.232735.837.39834-363.232
11230902930.482849.5880.8937159.523
11331002965.222931.0434.1807134.778
11430403027.883039.17-11.282212.1155
11532953132.243128.753.48862162.761
11626653239.343226.2513.0928-574.343
11743503480.053349.58130.468869.949
11834703557.453436.25121.197-87.447
11932853361.283498.54-137.261-76.2803
12036103525.343625.83-100.49184.6572
1213310NANA-63.1341NA
1223850NANA-78.5507NA
1233880NANA7.39834NA
1243670NANA80.8937NA
1254015NANA34.1807NA
1265180NANA-11.2822NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 1785 & NA & NA & -63.1341 & NA \tabularnewline
2 & 2040 & NA & NA & -78.5507 & NA \tabularnewline
3 & 2060 & NA & NA & 7.39834 & NA \tabularnewline
4 & 1825 & NA & NA & 80.8937 & NA \tabularnewline
5 & 1910 & NA & NA & 34.1807 & NA \tabularnewline
6 & 1710 & NA & NA & -11.2822 & NA \tabularnewline
7 & 1925 & 1915.99 & 1912.5 & 3.48862 & 9.01138 \tabularnewline
8 & 2025 & 1913.93 & 1900.83 & 13.0928 & 111.074 \tabularnewline
9 & 1955 & 2010.26 & 1879.79 & 130.468 & -55.2595 \tabularnewline
10 & 1940 & 1987.24 & 1866.04 & 121.197 & -47.2386 \tabularnewline
11 & 1925 & 1722.11 & 1859.38 & -137.261 & 202.886 \tabularnewline
12 & 1870 & 1763.26 & 1863.75 & -100.491 & 106.741 \tabularnewline
13 & 1745 & 1803.12 & 1866.25 & -63.1341 & -58.1159 \tabularnewline
14 & 1800 & 1778.95 & 1857.5 & -78.5507 & 21.0507 \tabularnewline
15 & 1795 & 1860.94 & 1853.54 & 7.39834 & -65.94 \tabularnewline
16 & 1760 & 1929.64 & 1848.75 & 80.8937 & -169.644 \tabularnewline
17 & 1815 & 1871.26 & 1837.08 & 34.1807 & -56.2641 \tabularnewline
18 & 1910 & 1814.34 & 1825.62 & -11.2822 & 95.6572 \tabularnewline
19 & 1785 & 1826.82 & 1823.33 & 3.48862 & -41.822 \tabularnewline
20 & 1955 & 1840.8 & 1827.71 & 13.0928 & 114.199 \tabularnewline
21 & 1930 & 1971.51 & 1841.04 & 130.468 & -41.5095 \tabularnewline
22 & 1850 & 1970.16 & 1848.96 & 121.197 & -120.155 \tabularnewline
23 & 1735 & 1716.49 & 1853.75 & -137.261 & 18.5114 \tabularnewline
24 & 1785 & 1757.84 & 1858.33 & -100.491 & 27.1572 \tabularnewline
25 & 1775 & 1796.87 & 1860 & -63.1341 & -21.8659 \tabularnewline
26 & 1875 & 1773.74 & 1852.29 & -78.5507 & 101.259 \tabularnewline
27 & 2040 & 1861.57 & 1854.17 & 7.39834 & 178.435 \tabularnewline
28 & 1705 & 1969.64 & 1888.75 & 80.8937 & -264.644 \tabularnewline
29 & 1985 & 1947.1 & 1912.92 & 34.1807 & 37.9026 \tabularnewline
30 & 1850 & 1907.68 & 1918.96 & -11.2822 & -57.6761 \tabularnewline
31 & 1885 & 1948.7 & 1945.21 & 3.48862 & -63.697 \tabularnewline
32 & 1670 & 1997.26 & 1984.17 & 13.0928 & -327.259 \tabularnewline
33 & 2260 & 2141.51 & 2011.04 & 130.468 & 118.491 \tabularnewline
34 & 2350 & 2174.95 & 2053.75 & 121.197 & 175.053 \tabularnewline
35 & 1815 & 1955.45 & 2092.71 & -137.261 & -140.447 \tabularnewline
36 & 1850 & 1998.88 & 2099.38 & -100.491 & -148.884 \tabularnewline
37 & 2340 & 2043.95 & 2107.08 & -63.1341 & 296.051 \tabularnewline
38 & 2245 & 2053.95 & 2132.5 & -78.5507 & 191.051 \tabularnewline
39 & 2315 & 2150.32 & 2142.92 & 7.39834 & 164.685 \tabularnewline
40 & 2455 & 2213.19 & 2132.29 & 80.8937 & 241.815 \tabularnewline
41 & 2170 & 2163.56 & 2129.37 & 34.1807 & 6.44425 \tabularnewline
42 & 1825 & 2116.22 & 2127.5 & -11.2822 & -291.218 \tabularnewline
43 & 2095 & 2107.03 & 2103.54 & 3.48862 & -12.0303 \tabularnewline
44 & 2070 & 2082.05 & 2068.96 & 13.0928 & -12.0511 \tabularnewline
45 & 2110 & 2164.63 & 2034.17 & 130.468 & -54.6345 \tabularnewline
46 & 2245 & 2105.99 & 1984.79 & 121.197 & 139.011 \tabularnewline
47 & 1850 & 1801.49 & 1938.75 & -137.261 & 48.5114 \tabularnewline
48 & 1770 & 1812.84 & 1913.33 & -100.491 & -42.8428 \tabularnewline
49 & 1845 & 1819.99 & 1883.12 & -63.1341 & 25.0091 \tabularnewline
50 & 1910 & 1770.41 & 1848.96 & -78.5507 & 139.592 \tabularnewline
51 & 1815 & 1829.27 & 1821.88 & 7.39834 & -14.2733 \tabularnewline
52 & 1770 & 1866.31 & 1785.42 & 80.8937 & -96.3104 \tabularnewline
53 & 1750 & 1791.68 & 1757.5 & 34.1807 & -41.6807 \tabularnewline
54 & 1635 & 1732.47 & 1743.75 & -11.2822 & -97.4678 \tabularnewline
55 & 1560 & 1722.45 & 1718.96 & 3.48862 & -162.447 \tabularnewline
56 & 1785 & 1696.43 & 1683.33 & 13.0928 & 88.5739 \tabularnewline
57 & 1745 & 1787.55 & 1657.08 & 130.468 & -42.5511 \tabularnewline
58 & 1735 & 1762.24 & 1641.04 & 121.197 & -27.2386 \tabularnewline
59 & 1690 & 1486.07 & 1623.33 & -137.261 & 203.928 \tabularnewline
60 & 1600 & 1508.88 & 1609.38 & -100.491 & 91.1155 \tabularnewline
61 & 1420 & 1527.49 & 1590.62 & -63.1341 & -107.491 \tabularnewline
62 & 1480 & 1484.78 & 1563.33 & -78.5507 & -4.7826 \tabularnewline
63 & 1615 & 1541.77 & 1534.37 & 7.39834 & 73.2267 \tabularnewline
64 & 1585 & 1576.94 & 1496.04 & 80.8937 & 8.06462 \tabularnewline
65 & 1510 & 1494.18 & 1460 & 34.1807 & 15.8193 \tabularnewline
66 & 1540 & 1419.34 & 1430.62 & -11.2822 & 120.657 \tabularnewline
67 & 1205 & 1404.74 & 1401.25 & 3.48862 & -199.739 \tabularnewline
68 & 1485 & 1388.51 & 1375.42 & 13.0928 & 96.4905 \tabularnewline
69 & 1350 & 1478.18 & 1347.71 & 130.468 & -128.176 \tabularnewline
70 & 1210 & 1437.03 & 1315.83 & 121.197 & -227.03 \tabularnewline
71 & 1350 & 1148.57 & 1285.83 & -137.261 & 201.428 \tabularnewline
72 & 1235 & 1152.63 & 1253.12 & -100.491 & 82.3655 \tabularnewline
73 & 1080 & 1167.07 & 1230.21 & -63.1341 & -87.0743 \tabularnewline
74 & 1200 & 1147.49 & 1226.04 & -78.5507 & 52.5091 \tabularnewline
75 & 1230 & 1224.48 & 1217.08 & 7.39834 & 5.51833 \tabularnewline
76 & 1205 & 1285.27 & 1204.38 & 80.8937 & -80.2687 \tabularnewline
77 & 1170 & 1231.26 & 1197.08 & 34.1807 & -61.2641 \tabularnewline
78 & 1095 & 1185.59 & 1196.87 & -11.2822 & -90.5928 \tabularnewline
79 & 1100 & 1215.99 & 1212.5 & 3.48862 & -115.989 \tabularnewline
80 & 1490 & 1238.51 & 1225.42 & 13.0928 & 251.491 \tabularnewline
81 & 1130 & 1363.59 & 1233.12 & 130.468 & -233.593 \tabularnewline
82 & 1125 & 1375.16 & 1253.96 & 121.197 & -250.155 \tabularnewline
83 & 1260 & 1142.53 & 1279.79 & -137.261 & 117.47 \tabularnewline
84 & 1320 & 1200.13 & 1300.62 & -100.491 & 119.866 \tabularnewline
85 & 1370 & 1257.91 & 1321.04 & -63.1341 & 112.092 \tabularnewline
86 & 1220 & 1260.41 & 1338.96 & -78.5507 & -40.4076 \tabularnewline
87 & 1395 & 1360.11 & 1352.71 & 7.39834 & 34.8933 \tabularnewline
88 & 1540 & 1464.02 & 1383.12 & 80.8937 & 75.9813 \tabularnewline
89 & 1455 & 1436.06 & 1401.88 & 34.1807 & 18.9443 \tabularnewline
90 & 1310 & 1383.09 & 1394.38 & -11.2822 & -73.0928 \tabularnewline
91 & 1375 & 1402.03 & 1398.54 & 3.48862 & -27.0303 \tabularnewline
92 & 1645 & 1425.38 & 1412.29 & 13.0928 & 219.616 \tabularnewline
93 & 1305 & 1566.51 & 1436.04 & 130.468 & -261.509 \tabularnewline
94 & 1680 & 1598.28 & 1477.08 & 121.197 & 81.7197 \tabularnewline
95 & 1155 & 1384.82 & 1522.08 & -137.261 & -229.822 \tabularnewline
96 & 1245 & 1489.72 & 1590.21 & -100.491 & -244.718 \tabularnewline
97 & 1545 & 1624.99 & 1688.12 & -63.1341 & -79.9909 \tabularnewline
98 & 1375 & 1686.66 & 1765.21 & -78.5507 & -311.658 \tabularnewline
99 & 1810 & 1838.02 & 1830.62 & 7.39834 & -28.0233 \tabularnewline
100 & 2110 & 1999.23 & 1918.33 & 80.8937 & 110.773 \tabularnewline
101 & 1965 & 2034.39 & 2000.21 & 34.1807 & -69.3891 \tabularnewline
102 & 2435 & 2068.09 & 2079.38 & -11.2822 & 366.907 \tabularnewline
103 & 2600 & 2165.36 & 2161.88 & 3.48862 & 434.636 \tabularnewline
104 & 2270 & 2254.13 & 2241.04 & 13.0928 & 15.8655 \tabularnewline
105 & 2250 & 2437.55 & 2307.08 & 130.468 & -187.551 \tabularnewline
106 & 2840 & 2492.86 & 2371.67 & 121.197 & 347.136 \tabularnewline
107 & 1960 & 2322.53 & 2459.79 & -137.261 & -362.53 \tabularnewline
108 & 2340 & 2431.8 & 2532.29 & -100.491 & -91.8011 \tabularnewline
109 & 2430 & 2523.32 & 2586.46 & -63.1341 & -93.3243 \tabularnewline
110 & 2390 & 2553.32 & 2631.88 & -78.5507 & -163.324 \tabularnewline
111 & 2380 & 2743.23 & 2735.83 & 7.39834 & -363.232 \tabularnewline
112 & 3090 & 2930.48 & 2849.58 & 80.8937 & 159.523 \tabularnewline
113 & 3100 & 2965.22 & 2931.04 & 34.1807 & 134.778 \tabularnewline
114 & 3040 & 3027.88 & 3039.17 & -11.2822 & 12.1155 \tabularnewline
115 & 3295 & 3132.24 & 3128.75 & 3.48862 & 162.761 \tabularnewline
116 & 2665 & 3239.34 & 3226.25 & 13.0928 & -574.343 \tabularnewline
117 & 4350 & 3480.05 & 3349.58 & 130.468 & 869.949 \tabularnewline
118 & 3470 & 3557.45 & 3436.25 & 121.197 & -87.447 \tabularnewline
119 & 3285 & 3361.28 & 3498.54 & -137.261 & -76.2803 \tabularnewline
120 & 3610 & 3525.34 & 3625.83 & -100.491 & 84.6572 \tabularnewline
121 & 3310 & NA & NA & -63.1341 & NA \tabularnewline
122 & 3850 & NA & NA & -78.5507 & NA \tabularnewline
123 & 3880 & NA & NA & 7.39834 & NA \tabularnewline
124 & 3670 & NA & NA & 80.8937 & NA \tabularnewline
125 & 4015 & NA & NA & 34.1807 & NA \tabularnewline
126 & 5180 & NA & NA & -11.2822 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=302834&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]1785[/C][C]NA[/C][C]NA[/C][C]-63.1341[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]2040[/C][C]NA[/C][C]NA[/C][C]-78.5507[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]2060[/C][C]NA[/C][C]NA[/C][C]7.39834[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]1825[/C][C]NA[/C][C]NA[/C][C]80.8937[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]1910[/C][C]NA[/C][C]NA[/C][C]34.1807[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]1710[/C][C]NA[/C][C]NA[/C][C]-11.2822[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]1925[/C][C]1915.99[/C][C]1912.5[/C][C]3.48862[/C][C]9.01138[/C][/ROW]
[ROW][C]8[/C][C]2025[/C][C]1913.93[/C][C]1900.83[/C][C]13.0928[/C][C]111.074[/C][/ROW]
[ROW][C]9[/C][C]1955[/C][C]2010.26[/C][C]1879.79[/C][C]130.468[/C][C]-55.2595[/C][/ROW]
[ROW][C]10[/C][C]1940[/C][C]1987.24[/C][C]1866.04[/C][C]121.197[/C][C]-47.2386[/C][/ROW]
[ROW][C]11[/C][C]1925[/C][C]1722.11[/C][C]1859.38[/C][C]-137.261[/C][C]202.886[/C][/ROW]
[ROW][C]12[/C][C]1870[/C][C]1763.26[/C][C]1863.75[/C][C]-100.491[/C][C]106.741[/C][/ROW]
[ROW][C]13[/C][C]1745[/C][C]1803.12[/C][C]1866.25[/C][C]-63.1341[/C][C]-58.1159[/C][/ROW]
[ROW][C]14[/C][C]1800[/C][C]1778.95[/C][C]1857.5[/C][C]-78.5507[/C][C]21.0507[/C][/ROW]
[ROW][C]15[/C][C]1795[/C][C]1860.94[/C][C]1853.54[/C][C]7.39834[/C][C]-65.94[/C][/ROW]
[ROW][C]16[/C][C]1760[/C][C]1929.64[/C][C]1848.75[/C][C]80.8937[/C][C]-169.644[/C][/ROW]
[ROW][C]17[/C][C]1815[/C][C]1871.26[/C][C]1837.08[/C][C]34.1807[/C][C]-56.2641[/C][/ROW]
[ROW][C]18[/C][C]1910[/C][C]1814.34[/C][C]1825.62[/C][C]-11.2822[/C][C]95.6572[/C][/ROW]
[ROW][C]19[/C][C]1785[/C][C]1826.82[/C][C]1823.33[/C][C]3.48862[/C][C]-41.822[/C][/ROW]
[ROW][C]20[/C][C]1955[/C][C]1840.8[/C][C]1827.71[/C][C]13.0928[/C][C]114.199[/C][/ROW]
[ROW][C]21[/C][C]1930[/C][C]1971.51[/C][C]1841.04[/C][C]130.468[/C][C]-41.5095[/C][/ROW]
[ROW][C]22[/C][C]1850[/C][C]1970.16[/C][C]1848.96[/C][C]121.197[/C][C]-120.155[/C][/ROW]
[ROW][C]23[/C][C]1735[/C][C]1716.49[/C][C]1853.75[/C][C]-137.261[/C][C]18.5114[/C][/ROW]
[ROW][C]24[/C][C]1785[/C][C]1757.84[/C][C]1858.33[/C][C]-100.491[/C][C]27.1572[/C][/ROW]
[ROW][C]25[/C][C]1775[/C][C]1796.87[/C][C]1860[/C][C]-63.1341[/C][C]-21.8659[/C][/ROW]
[ROW][C]26[/C][C]1875[/C][C]1773.74[/C][C]1852.29[/C][C]-78.5507[/C][C]101.259[/C][/ROW]
[ROW][C]27[/C][C]2040[/C][C]1861.57[/C][C]1854.17[/C][C]7.39834[/C][C]178.435[/C][/ROW]
[ROW][C]28[/C][C]1705[/C][C]1969.64[/C][C]1888.75[/C][C]80.8937[/C][C]-264.644[/C][/ROW]
[ROW][C]29[/C][C]1985[/C][C]1947.1[/C][C]1912.92[/C][C]34.1807[/C][C]37.9026[/C][/ROW]
[ROW][C]30[/C][C]1850[/C][C]1907.68[/C][C]1918.96[/C][C]-11.2822[/C][C]-57.6761[/C][/ROW]
[ROW][C]31[/C][C]1885[/C][C]1948.7[/C][C]1945.21[/C][C]3.48862[/C][C]-63.697[/C][/ROW]
[ROW][C]32[/C][C]1670[/C][C]1997.26[/C][C]1984.17[/C][C]13.0928[/C][C]-327.259[/C][/ROW]
[ROW][C]33[/C][C]2260[/C][C]2141.51[/C][C]2011.04[/C][C]130.468[/C][C]118.491[/C][/ROW]
[ROW][C]34[/C][C]2350[/C][C]2174.95[/C][C]2053.75[/C][C]121.197[/C][C]175.053[/C][/ROW]
[ROW][C]35[/C][C]1815[/C][C]1955.45[/C][C]2092.71[/C][C]-137.261[/C][C]-140.447[/C][/ROW]
[ROW][C]36[/C][C]1850[/C][C]1998.88[/C][C]2099.38[/C][C]-100.491[/C][C]-148.884[/C][/ROW]
[ROW][C]37[/C][C]2340[/C][C]2043.95[/C][C]2107.08[/C][C]-63.1341[/C][C]296.051[/C][/ROW]
[ROW][C]38[/C][C]2245[/C][C]2053.95[/C][C]2132.5[/C][C]-78.5507[/C][C]191.051[/C][/ROW]
[ROW][C]39[/C][C]2315[/C][C]2150.32[/C][C]2142.92[/C][C]7.39834[/C][C]164.685[/C][/ROW]
[ROW][C]40[/C][C]2455[/C][C]2213.19[/C][C]2132.29[/C][C]80.8937[/C][C]241.815[/C][/ROW]
[ROW][C]41[/C][C]2170[/C][C]2163.56[/C][C]2129.37[/C][C]34.1807[/C][C]6.44425[/C][/ROW]
[ROW][C]42[/C][C]1825[/C][C]2116.22[/C][C]2127.5[/C][C]-11.2822[/C][C]-291.218[/C][/ROW]
[ROW][C]43[/C][C]2095[/C][C]2107.03[/C][C]2103.54[/C][C]3.48862[/C][C]-12.0303[/C][/ROW]
[ROW][C]44[/C][C]2070[/C][C]2082.05[/C][C]2068.96[/C][C]13.0928[/C][C]-12.0511[/C][/ROW]
[ROW][C]45[/C][C]2110[/C][C]2164.63[/C][C]2034.17[/C][C]130.468[/C][C]-54.6345[/C][/ROW]
[ROW][C]46[/C][C]2245[/C][C]2105.99[/C][C]1984.79[/C][C]121.197[/C][C]139.011[/C][/ROW]
[ROW][C]47[/C][C]1850[/C][C]1801.49[/C][C]1938.75[/C][C]-137.261[/C][C]48.5114[/C][/ROW]
[ROW][C]48[/C][C]1770[/C][C]1812.84[/C][C]1913.33[/C][C]-100.491[/C][C]-42.8428[/C][/ROW]
[ROW][C]49[/C][C]1845[/C][C]1819.99[/C][C]1883.12[/C][C]-63.1341[/C][C]25.0091[/C][/ROW]
[ROW][C]50[/C][C]1910[/C][C]1770.41[/C][C]1848.96[/C][C]-78.5507[/C][C]139.592[/C][/ROW]
[ROW][C]51[/C][C]1815[/C][C]1829.27[/C][C]1821.88[/C][C]7.39834[/C][C]-14.2733[/C][/ROW]
[ROW][C]52[/C][C]1770[/C][C]1866.31[/C][C]1785.42[/C][C]80.8937[/C][C]-96.3104[/C][/ROW]
[ROW][C]53[/C][C]1750[/C][C]1791.68[/C][C]1757.5[/C][C]34.1807[/C][C]-41.6807[/C][/ROW]
[ROW][C]54[/C][C]1635[/C][C]1732.47[/C][C]1743.75[/C][C]-11.2822[/C][C]-97.4678[/C][/ROW]
[ROW][C]55[/C][C]1560[/C][C]1722.45[/C][C]1718.96[/C][C]3.48862[/C][C]-162.447[/C][/ROW]
[ROW][C]56[/C][C]1785[/C][C]1696.43[/C][C]1683.33[/C][C]13.0928[/C][C]88.5739[/C][/ROW]
[ROW][C]57[/C][C]1745[/C][C]1787.55[/C][C]1657.08[/C][C]130.468[/C][C]-42.5511[/C][/ROW]
[ROW][C]58[/C][C]1735[/C][C]1762.24[/C][C]1641.04[/C][C]121.197[/C][C]-27.2386[/C][/ROW]
[ROW][C]59[/C][C]1690[/C][C]1486.07[/C][C]1623.33[/C][C]-137.261[/C][C]203.928[/C][/ROW]
[ROW][C]60[/C][C]1600[/C][C]1508.88[/C][C]1609.38[/C][C]-100.491[/C][C]91.1155[/C][/ROW]
[ROW][C]61[/C][C]1420[/C][C]1527.49[/C][C]1590.62[/C][C]-63.1341[/C][C]-107.491[/C][/ROW]
[ROW][C]62[/C][C]1480[/C][C]1484.78[/C][C]1563.33[/C][C]-78.5507[/C][C]-4.7826[/C][/ROW]
[ROW][C]63[/C][C]1615[/C][C]1541.77[/C][C]1534.37[/C][C]7.39834[/C][C]73.2267[/C][/ROW]
[ROW][C]64[/C][C]1585[/C][C]1576.94[/C][C]1496.04[/C][C]80.8937[/C][C]8.06462[/C][/ROW]
[ROW][C]65[/C][C]1510[/C][C]1494.18[/C][C]1460[/C][C]34.1807[/C][C]15.8193[/C][/ROW]
[ROW][C]66[/C][C]1540[/C][C]1419.34[/C][C]1430.62[/C][C]-11.2822[/C][C]120.657[/C][/ROW]
[ROW][C]67[/C][C]1205[/C][C]1404.74[/C][C]1401.25[/C][C]3.48862[/C][C]-199.739[/C][/ROW]
[ROW][C]68[/C][C]1485[/C][C]1388.51[/C][C]1375.42[/C][C]13.0928[/C][C]96.4905[/C][/ROW]
[ROW][C]69[/C][C]1350[/C][C]1478.18[/C][C]1347.71[/C][C]130.468[/C][C]-128.176[/C][/ROW]
[ROW][C]70[/C][C]1210[/C][C]1437.03[/C][C]1315.83[/C][C]121.197[/C][C]-227.03[/C][/ROW]
[ROW][C]71[/C][C]1350[/C][C]1148.57[/C][C]1285.83[/C][C]-137.261[/C][C]201.428[/C][/ROW]
[ROW][C]72[/C][C]1235[/C][C]1152.63[/C][C]1253.12[/C][C]-100.491[/C][C]82.3655[/C][/ROW]
[ROW][C]73[/C][C]1080[/C][C]1167.07[/C][C]1230.21[/C][C]-63.1341[/C][C]-87.0743[/C][/ROW]
[ROW][C]74[/C][C]1200[/C][C]1147.49[/C][C]1226.04[/C][C]-78.5507[/C][C]52.5091[/C][/ROW]
[ROW][C]75[/C][C]1230[/C][C]1224.48[/C][C]1217.08[/C][C]7.39834[/C][C]5.51833[/C][/ROW]
[ROW][C]76[/C][C]1205[/C][C]1285.27[/C][C]1204.38[/C][C]80.8937[/C][C]-80.2687[/C][/ROW]
[ROW][C]77[/C][C]1170[/C][C]1231.26[/C][C]1197.08[/C][C]34.1807[/C][C]-61.2641[/C][/ROW]
[ROW][C]78[/C][C]1095[/C][C]1185.59[/C][C]1196.87[/C][C]-11.2822[/C][C]-90.5928[/C][/ROW]
[ROW][C]79[/C][C]1100[/C][C]1215.99[/C][C]1212.5[/C][C]3.48862[/C][C]-115.989[/C][/ROW]
[ROW][C]80[/C][C]1490[/C][C]1238.51[/C][C]1225.42[/C][C]13.0928[/C][C]251.491[/C][/ROW]
[ROW][C]81[/C][C]1130[/C][C]1363.59[/C][C]1233.12[/C][C]130.468[/C][C]-233.593[/C][/ROW]
[ROW][C]82[/C][C]1125[/C][C]1375.16[/C][C]1253.96[/C][C]121.197[/C][C]-250.155[/C][/ROW]
[ROW][C]83[/C][C]1260[/C][C]1142.53[/C][C]1279.79[/C][C]-137.261[/C][C]117.47[/C][/ROW]
[ROW][C]84[/C][C]1320[/C][C]1200.13[/C][C]1300.62[/C][C]-100.491[/C][C]119.866[/C][/ROW]
[ROW][C]85[/C][C]1370[/C][C]1257.91[/C][C]1321.04[/C][C]-63.1341[/C][C]112.092[/C][/ROW]
[ROW][C]86[/C][C]1220[/C][C]1260.41[/C][C]1338.96[/C][C]-78.5507[/C][C]-40.4076[/C][/ROW]
[ROW][C]87[/C][C]1395[/C][C]1360.11[/C][C]1352.71[/C][C]7.39834[/C][C]34.8933[/C][/ROW]
[ROW][C]88[/C][C]1540[/C][C]1464.02[/C][C]1383.12[/C][C]80.8937[/C][C]75.9813[/C][/ROW]
[ROW][C]89[/C][C]1455[/C][C]1436.06[/C][C]1401.88[/C][C]34.1807[/C][C]18.9443[/C][/ROW]
[ROW][C]90[/C][C]1310[/C][C]1383.09[/C][C]1394.38[/C][C]-11.2822[/C][C]-73.0928[/C][/ROW]
[ROW][C]91[/C][C]1375[/C][C]1402.03[/C][C]1398.54[/C][C]3.48862[/C][C]-27.0303[/C][/ROW]
[ROW][C]92[/C][C]1645[/C][C]1425.38[/C][C]1412.29[/C][C]13.0928[/C][C]219.616[/C][/ROW]
[ROW][C]93[/C][C]1305[/C][C]1566.51[/C][C]1436.04[/C][C]130.468[/C][C]-261.509[/C][/ROW]
[ROW][C]94[/C][C]1680[/C][C]1598.28[/C][C]1477.08[/C][C]121.197[/C][C]81.7197[/C][/ROW]
[ROW][C]95[/C][C]1155[/C][C]1384.82[/C][C]1522.08[/C][C]-137.261[/C][C]-229.822[/C][/ROW]
[ROW][C]96[/C][C]1245[/C][C]1489.72[/C][C]1590.21[/C][C]-100.491[/C][C]-244.718[/C][/ROW]
[ROW][C]97[/C][C]1545[/C][C]1624.99[/C][C]1688.12[/C][C]-63.1341[/C][C]-79.9909[/C][/ROW]
[ROW][C]98[/C][C]1375[/C][C]1686.66[/C][C]1765.21[/C][C]-78.5507[/C][C]-311.658[/C][/ROW]
[ROW][C]99[/C][C]1810[/C][C]1838.02[/C][C]1830.62[/C][C]7.39834[/C][C]-28.0233[/C][/ROW]
[ROW][C]100[/C][C]2110[/C][C]1999.23[/C][C]1918.33[/C][C]80.8937[/C][C]110.773[/C][/ROW]
[ROW][C]101[/C][C]1965[/C][C]2034.39[/C][C]2000.21[/C][C]34.1807[/C][C]-69.3891[/C][/ROW]
[ROW][C]102[/C][C]2435[/C][C]2068.09[/C][C]2079.38[/C][C]-11.2822[/C][C]366.907[/C][/ROW]
[ROW][C]103[/C][C]2600[/C][C]2165.36[/C][C]2161.88[/C][C]3.48862[/C][C]434.636[/C][/ROW]
[ROW][C]104[/C][C]2270[/C][C]2254.13[/C][C]2241.04[/C][C]13.0928[/C][C]15.8655[/C][/ROW]
[ROW][C]105[/C][C]2250[/C][C]2437.55[/C][C]2307.08[/C][C]130.468[/C][C]-187.551[/C][/ROW]
[ROW][C]106[/C][C]2840[/C][C]2492.86[/C][C]2371.67[/C][C]121.197[/C][C]347.136[/C][/ROW]
[ROW][C]107[/C][C]1960[/C][C]2322.53[/C][C]2459.79[/C][C]-137.261[/C][C]-362.53[/C][/ROW]
[ROW][C]108[/C][C]2340[/C][C]2431.8[/C][C]2532.29[/C][C]-100.491[/C][C]-91.8011[/C][/ROW]
[ROW][C]109[/C][C]2430[/C][C]2523.32[/C][C]2586.46[/C][C]-63.1341[/C][C]-93.3243[/C][/ROW]
[ROW][C]110[/C][C]2390[/C][C]2553.32[/C][C]2631.88[/C][C]-78.5507[/C][C]-163.324[/C][/ROW]
[ROW][C]111[/C][C]2380[/C][C]2743.23[/C][C]2735.83[/C][C]7.39834[/C][C]-363.232[/C][/ROW]
[ROW][C]112[/C][C]3090[/C][C]2930.48[/C][C]2849.58[/C][C]80.8937[/C][C]159.523[/C][/ROW]
[ROW][C]113[/C][C]3100[/C][C]2965.22[/C][C]2931.04[/C][C]34.1807[/C][C]134.778[/C][/ROW]
[ROW][C]114[/C][C]3040[/C][C]3027.88[/C][C]3039.17[/C][C]-11.2822[/C][C]12.1155[/C][/ROW]
[ROW][C]115[/C][C]3295[/C][C]3132.24[/C][C]3128.75[/C][C]3.48862[/C][C]162.761[/C][/ROW]
[ROW][C]116[/C][C]2665[/C][C]3239.34[/C][C]3226.25[/C][C]13.0928[/C][C]-574.343[/C][/ROW]
[ROW][C]117[/C][C]4350[/C][C]3480.05[/C][C]3349.58[/C][C]130.468[/C][C]869.949[/C][/ROW]
[ROW][C]118[/C][C]3470[/C][C]3557.45[/C][C]3436.25[/C][C]121.197[/C][C]-87.447[/C][/ROW]
[ROW][C]119[/C][C]3285[/C][C]3361.28[/C][C]3498.54[/C][C]-137.261[/C][C]-76.2803[/C][/ROW]
[ROW][C]120[/C][C]3610[/C][C]3525.34[/C][C]3625.83[/C][C]-100.491[/C][C]84.6572[/C][/ROW]
[ROW][C]121[/C][C]3310[/C][C]NA[/C][C]NA[/C][C]-63.1341[/C][C]NA[/C][/ROW]
[ROW][C]122[/C][C]3850[/C][C]NA[/C][C]NA[/C][C]-78.5507[/C][C]NA[/C][/ROW]
[ROW][C]123[/C][C]3880[/C][C]NA[/C][C]NA[/C][C]7.39834[/C][C]NA[/C][/ROW]
[ROW][C]124[/C][C]3670[/C][C]NA[/C][C]NA[/C][C]80.8937[/C][C]NA[/C][/ROW]
[ROW][C]125[/C][C]4015[/C][C]NA[/C][C]NA[/C][C]34.1807[/C][C]NA[/C][/ROW]
[ROW][C]126[/C][C]5180[/C][C]NA[/C][C]NA[/C][C]-11.2822[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=302834&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=302834&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
11785NANA-63.1341NA
22040NANA-78.5507NA
32060NANA7.39834NA
41825NANA80.8937NA
51910NANA34.1807NA
61710NANA-11.2822NA
719251915.991912.53.488629.01138
820251913.931900.8313.0928111.074
919552010.261879.79130.468-55.2595
1019401987.241866.04121.197-47.2386
1119251722.111859.38-137.261202.886
1218701763.261863.75-100.491106.741
1317451803.121866.25-63.1341-58.1159
1418001778.951857.5-78.550721.0507
1517951860.941853.547.39834-65.94
1617601929.641848.7580.8937-169.644
1718151871.261837.0834.1807-56.2641
1819101814.341825.62-11.282295.6572
1917851826.821823.333.48862-41.822
2019551840.81827.7113.0928114.199
2119301971.511841.04130.468-41.5095
2218501970.161848.96121.197-120.155
2317351716.491853.75-137.26118.5114
2417851757.841858.33-100.49127.1572
2517751796.871860-63.1341-21.8659
2618751773.741852.29-78.5507101.259
2720401861.571854.177.39834178.435
2817051969.641888.7580.8937-264.644
2919851947.11912.9234.180737.9026
3018501907.681918.96-11.2822-57.6761
3118851948.71945.213.48862-63.697
3216701997.261984.1713.0928-327.259
3322602141.512011.04130.468118.491
3423502174.952053.75121.197175.053
3518151955.452092.71-137.261-140.447
3618501998.882099.38-100.491-148.884
3723402043.952107.08-63.1341296.051
3822452053.952132.5-78.5507191.051
3923152150.322142.927.39834164.685
4024552213.192132.2980.8937241.815
4121702163.562129.3734.18076.44425
4218252116.222127.5-11.2822-291.218
4320952107.032103.543.48862-12.0303
4420702082.052068.9613.0928-12.0511
4521102164.632034.17130.468-54.6345
4622452105.991984.79121.197139.011
4718501801.491938.75-137.26148.5114
4817701812.841913.33-100.491-42.8428
4918451819.991883.12-63.134125.0091
5019101770.411848.96-78.5507139.592
5118151829.271821.887.39834-14.2733
5217701866.311785.4280.8937-96.3104
5317501791.681757.534.1807-41.6807
5416351732.471743.75-11.2822-97.4678
5515601722.451718.963.48862-162.447
5617851696.431683.3313.092888.5739
5717451787.551657.08130.468-42.5511
5817351762.241641.04121.197-27.2386
5916901486.071623.33-137.261203.928
6016001508.881609.38-100.49191.1155
6114201527.491590.62-63.1341-107.491
6214801484.781563.33-78.5507-4.7826
6316151541.771534.377.3983473.2267
6415851576.941496.0480.89378.06462
6515101494.18146034.180715.8193
6615401419.341430.62-11.2822120.657
6712051404.741401.253.48862-199.739
6814851388.511375.4213.092896.4905
6913501478.181347.71130.468-128.176
7012101437.031315.83121.197-227.03
7113501148.571285.83-137.261201.428
7212351152.631253.12-100.49182.3655
7310801167.071230.21-63.1341-87.0743
7412001147.491226.04-78.550752.5091
7512301224.481217.087.398345.51833
7612051285.271204.3880.8937-80.2687
7711701231.261197.0834.1807-61.2641
7810951185.591196.87-11.2822-90.5928
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12036103525.343625.83-100.49184.6572
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1223850NANA-78.5507NA
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1265180NANA-11.2822NA



Parameters (Session):
par1 = 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')