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R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationMon, 18 Jul 2016 10:11:54 +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/Jul/18/t14688331427pbrqtrq19bnoxd.htm/, Retrieved Fri, 03 May 2024 12:57:32 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=295890, Retrieved Fri, 03 May 2024 12:57:32 +0000
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Estimated Impact150
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Data Series] [] [2016-07-18 07:02:10] [53ea9856f51a263258ed46ae39fddedd]
- RMPD    [Classical Decomposition] [] [2016-07-18 09:11:54] [b94c13d84d922b33c8d74b1e5b1d38c1] [Current]
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Dataseries X:
1943
1932
1922
1901
2108
2098
1943
1839
1850
1850
1860
1881
1839
1819
1757
1664
1922
1839
1633
1674
1633
1736
1591
1684
1602
1581
1416
1354
1664
1602
1405
1529
1426
1509
1426
1571
1447
1426
1230
1168
1612
1509
1333
1498
1374
1333
1312
1416
1240
1240
1095
1044
1560
1426
1302
1405
1261
1199
1250
1405
1199
1281
1178
1137
1591
1498
1250
1374
1312
1354
1426
1622
1488
1540
1457
1395
1860
1746
1467
1426
1343
1374
1354
1529
1343
1405
1364
1323
1829
1726
1447
1343
1188
1199
1178
1323
1064
1054
1013
899
1467
1405
1095
1002
847
816
713
858
486
444
403
331
940
889
568
506
351
362
300
403




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 2 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=295890&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=295890&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=295890&T=0

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
11943NANA-71.446NA
21932NANA-49.7978NA
31922NANA-134.131NA
41901NANA-186.747NA
52108NANA286.253NA
62098NANA210.873NA
719431903.641922.92-19.279339.3627
818391932.121913.8818.2438-93.1188
918501839.351902.29-62.94610.6543
1018501852.011885.54-33.534-2.00772
1118601818.171867.92-49.746941.8302
1218811941.631849.3892.2577-60.6327
1318391754.221825.67-71.44684.7793
1418191756.081805.88-49.797862.9228
1517571655.831789.96-134.131101.173
1616641589.421776.17-186.74774.5802
1719222046.461760.21286.253-124.461
1818391951.671740.79210.873-112.665
1916331703.431722.71-19.2793-70.429
2016741721.161702.9218.2438-47.1605
2116331615.851678.79-62.94617.1543
2217361618.131651.67-33.534117.867
2315911578.251628-49.746912.7469
2416841699.631607.3792.2577-15.6327
2516021516.551588-71.44685.446
2615811522.661572.46-49.797858.3395
2714161423.661557.79-134.131-7.66049
2813541352.961539.71-186.7471.03858
2916641809.631523.38286.253-145.628
3016021722.671511.79210.873-120.665
3114051481.351500.62-19.2793-76.3457
3215291505.951487.7118.243823.0478
3314261410.551473.5-62.94615.446
3415091424.471458-33.53484.534
3514261398.341448.08-49.746927.6636
3615711534.31442.0492.257736.7006
3714471363.721435.17-71.44683.2793
3814261381.081430.87-49.797844.9228
3912301293.291427.42-134.131-63.2855
4011681231.171417.92-186.747-63.1698
4116121692.091405.83286.253-80.0864
4215091605.51394.62210.873-96.4985
4313331360.261379.54-19.2793-27.2623
4414981381.411363.1718.2438116.59
4513741286.851349.79-62.94687.1543
4613331305.471339-33.53427.534
4713121281.921331.67-49.746930.0802
4814161418.31326.0492.2577-2.29938
4912401249.851321.29-71.446-9.84568
5012401266.331316.12-49.7978-26.3272
5110951173.411307.54-134.131-78.4105
5210441110.51297.25-186.747-66.5031
5315601575.341289.08286.253-15.3364
5414261496.921286.04210.873-70.9151
5513021264.61283.88-19.279337.4043
5614051302.121283.8818.2438102.881
5712611226.11289.04-62.94634.9043
5811991262.841296.38-33.534-63.841
5912501251.791301.54-49.7469-1.79475
6014051398.091305.8392.25776.90895
6111991235.221306.67-71.446-36.2207
6212811253.411303.21-49.797827.5895
6311781169.911304.04-134.1318.08951
6411371125.881312.62-186.74711.1219
6515911612.671326.42286.253-21.6698
6614981553.671342.79210.873-55.6651
6712501344.61363.88-19.2793-94.5957
6813741404.951386.7118.2438-30.9522
6913121346.181409.12-62.946-34.179
7013541397.971431.5-33.534-43.966
7114261403.711453.46-49.746922.2886
7216221567.26147592.257754.7423
7314881422.931494.37-71.44665.071
7415401455.791505.58-49.797884.2145
7514571374.911509.04-134.13182.0895
7613951324.421511.17-186.74770.5802
7718601795.251509286.25364.7469
78174617131502.12210.87333.0015
7914671472.931492.21-19.2793-5.92901
8014261498.791480.5418.2438-72.7855
8113431408.11471.04-62.946-65.0957
8213741430.631464.17-33.534-56.6327
8313541410.131459.88-49.7469-56.1281
8415291550.011457.7592.2577-21.0077
8513431384.641456.08-71.446-41.6373
8614051401.991451.79-49.79783.00617
8713641307.741441.88-134.13156.2562
8813231241.381428.12-186.74781.6219
8918291699.751413.5286.253129.247
9017261608.461397.58210.873117.543
9114471358.11377.37-19.279388.9043
9213431369.371351.1318.2438-26.3688
9311881258.931321.88-62.946-70.929
9411991256.051289.58-33.534-57.0494
9511781207.091256.83-49.7469-29.0864
9613231320.631228.3892.25772.36728
9710641128.891200.33-71.446-64.8873
9810541121.661171.46-49.7978-67.6605
9910131008.911143.04-134.1314.08951
100899926.1281112.87-186.747-27.1281
10114671363.791077.54286.253103.205
10214051249.671038.79210.873155.335
1031095976.054995.333-19.2793118.946
1041002964.077945.83318.243837.9228
105847832.054895-62.94614.946
106816812.383845.917-33.5343.61728
107713750.545800.292-49.7469-37.5448
108858849.091756.83392.25778.90895
109486641.929713.375-71.446-155.929
110444620.952670.75-49.7978-176.952
111403495.285629.417-134.131-92.2855
112331403.086589.833-186.747-72.0864
113940839.961553.708286.253100.039
114889728.415517.542210.873160.585
115568NANA-19.2793NA
116506NANA18.2438NA
117351NANA-62.946NA
118362NANA-33.534NA
119300NANA-49.7469NA
120403NANA92.2577NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 1943 & NA & NA & -71.446 & NA \tabularnewline
2 & 1932 & NA & NA & -49.7978 & NA \tabularnewline
3 & 1922 & NA & NA & -134.131 & NA \tabularnewline
4 & 1901 & NA & NA & -186.747 & NA \tabularnewline
5 & 2108 & NA & NA & 286.253 & NA \tabularnewline
6 & 2098 & NA & NA & 210.873 & NA \tabularnewline
7 & 1943 & 1903.64 & 1922.92 & -19.2793 & 39.3627 \tabularnewline
8 & 1839 & 1932.12 & 1913.88 & 18.2438 & -93.1188 \tabularnewline
9 & 1850 & 1839.35 & 1902.29 & -62.946 & 10.6543 \tabularnewline
10 & 1850 & 1852.01 & 1885.54 & -33.534 & -2.00772 \tabularnewline
11 & 1860 & 1818.17 & 1867.92 & -49.7469 & 41.8302 \tabularnewline
12 & 1881 & 1941.63 & 1849.38 & 92.2577 & -60.6327 \tabularnewline
13 & 1839 & 1754.22 & 1825.67 & -71.446 & 84.7793 \tabularnewline
14 & 1819 & 1756.08 & 1805.88 & -49.7978 & 62.9228 \tabularnewline
15 & 1757 & 1655.83 & 1789.96 & -134.131 & 101.173 \tabularnewline
16 & 1664 & 1589.42 & 1776.17 & -186.747 & 74.5802 \tabularnewline
17 & 1922 & 2046.46 & 1760.21 & 286.253 & -124.461 \tabularnewline
18 & 1839 & 1951.67 & 1740.79 & 210.873 & -112.665 \tabularnewline
19 & 1633 & 1703.43 & 1722.71 & -19.2793 & -70.429 \tabularnewline
20 & 1674 & 1721.16 & 1702.92 & 18.2438 & -47.1605 \tabularnewline
21 & 1633 & 1615.85 & 1678.79 & -62.946 & 17.1543 \tabularnewline
22 & 1736 & 1618.13 & 1651.67 & -33.534 & 117.867 \tabularnewline
23 & 1591 & 1578.25 & 1628 & -49.7469 & 12.7469 \tabularnewline
24 & 1684 & 1699.63 & 1607.37 & 92.2577 & -15.6327 \tabularnewline
25 & 1602 & 1516.55 & 1588 & -71.446 & 85.446 \tabularnewline
26 & 1581 & 1522.66 & 1572.46 & -49.7978 & 58.3395 \tabularnewline
27 & 1416 & 1423.66 & 1557.79 & -134.131 & -7.66049 \tabularnewline
28 & 1354 & 1352.96 & 1539.71 & -186.747 & 1.03858 \tabularnewline
29 & 1664 & 1809.63 & 1523.38 & 286.253 & -145.628 \tabularnewline
30 & 1602 & 1722.67 & 1511.79 & 210.873 & -120.665 \tabularnewline
31 & 1405 & 1481.35 & 1500.62 & -19.2793 & -76.3457 \tabularnewline
32 & 1529 & 1505.95 & 1487.71 & 18.2438 & 23.0478 \tabularnewline
33 & 1426 & 1410.55 & 1473.5 & -62.946 & 15.446 \tabularnewline
34 & 1509 & 1424.47 & 1458 & -33.534 & 84.534 \tabularnewline
35 & 1426 & 1398.34 & 1448.08 & -49.7469 & 27.6636 \tabularnewline
36 & 1571 & 1534.3 & 1442.04 & 92.2577 & 36.7006 \tabularnewline
37 & 1447 & 1363.72 & 1435.17 & -71.446 & 83.2793 \tabularnewline
38 & 1426 & 1381.08 & 1430.87 & -49.7978 & 44.9228 \tabularnewline
39 & 1230 & 1293.29 & 1427.42 & -134.131 & -63.2855 \tabularnewline
40 & 1168 & 1231.17 & 1417.92 & -186.747 & -63.1698 \tabularnewline
41 & 1612 & 1692.09 & 1405.83 & 286.253 & -80.0864 \tabularnewline
42 & 1509 & 1605.5 & 1394.62 & 210.873 & -96.4985 \tabularnewline
43 & 1333 & 1360.26 & 1379.54 & -19.2793 & -27.2623 \tabularnewline
44 & 1498 & 1381.41 & 1363.17 & 18.2438 & 116.59 \tabularnewline
45 & 1374 & 1286.85 & 1349.79 & -62.946 & 87.1543 \tabularnewline
46 & 1333 & 1305.47 & 1339 & -33.534 & 27.534 \tabularnewline
47 & 1312 & 1281.92 & 1331.67 & -49.7469 & 30.0802 \tabularnewline
48 & 1416 & 1418.3 & 1326.04 & 92.2577 & -2.29938 \tabularnewline
49 & 1240 & 1249.85 & 1321.29 & -71.446 & -9.84568 \tabularnewline
50 & 1240 & 1266.33 & 1316.12 & -49.7978 & -26.3272 \tabularnewline
51 & 1095 & 1173.41 & 1307.54 & -134.131 & -78.4105 \tabularnewline
52 & 1044 & 1110.5 & 1297.25 & -186.747 & -66.5031 \tabularnewline
53 & 1560 & 1575.34 & 1289.08 & 286.253 & -15.3364 \tabularnewline
54 & 1426 & 1496.92 & 1286.04 & 210.873 & -70.9151 \tabularnewline
55 & 1302 & 1264.6 & 1283.88 & -19.2793 & 37.4043 \tabularnewline
56 & 1405 & 1302.12 & 1283.88 & 18.2438 & 102.881 \tabularnewline
57 & 1261 & 1226.1 & 1289.04 & -62.946 & 34.9043 \tabularnewline
58 & 1199 & 1262.84 & 1296.38 & -33.534 & -63.841 \tabularnewline
59 & 1250 & 1251.79 & 1301.54 & -49.7469 & -1.79475 \tabularnewline
60 & 1405 & 1398.09 & 1305.83 & 92.2577 & 6.90895 \tabularnewline
61 & 1199 & 1235.22 & 1306.67 & -71.446 & -36.2207 \tabularnewline
62 & 1281 & 1253.41 & 1303.21 & -49.7978 & 27.5895 \tabularnewline
63 & 1178 & 1169.91 & 1304.04 & -134.131 & 8.08951 \tabularnewline
64 & 1137 & 1125.88 & 1312.62 & -186.747 & 11.1219 \tabularnewline
65 & 1591 & 1612.67 & 1326.42 & 286.253 & -21.6698 \tabularnewline
66 & 1498 & 1553.67 & 1342.79 & 210.873 & -55.6651 \tabularnewline
67 & 1250 & 1344.6 & 1363.88 & -19.2793 & -94.5957 \tabularnewline
68 & 1374 & 1404.95 & 1386.71 & 18.2438 & -30.9522 \tabularnewline
69 & 1312 & 1346.18 & 1409.12 & -62.946 & -34.179 \tabularnewline
70 & 1354 & 1397.97 & 1431.5 & -33.534 & -43.966 \tabularnewline
71 & 1426 & 1403.71 & 1453.46 & -49.7469 & 22.2886 \tabularnewline
72 & 1622 & 1567.26 & 1475 & 92.2577 & 54.7423 \tabularnewline
73 & 1488 & 1422.93 & 1494.37 & -71.446 & 65.071 \tabularnewline
74 & 1540 & 1455.79 & 1505.58 & -49.7978 & 84.2145 \tabularnewline
75 & 1457 & 1374.91 & 1509.04 & -134.131 & 82.0895 \tabularnewline
76 & 1395 & 1324.42 & 1511.17 & -186.747 & 70.5802 \tabularnewline
77 & 1860 & 1795.25 & 1509 & 286.253 & 64.7469 \tabularnewline
78 & 1746 & 1713 & 1502.12 & 210.873 & 33.0015 \tabularnewline
79 & 1467 & 1472.93 & 1492.21 & -19.2793 & -5.92901 \tabularnewline
80 & 1426 & 1498.79 & 1480.54 & 18.2438 & -72.7855 \tabularnewline
81 & 1343 & 1408.1 & 1471.04 & -62.946 & -65.0957 \tabularnewline
82 & 1374 & 1430.63 & 1464.17 & -33.534 & -56.6327 \tabularnewline
83 & 1354 & 1410.13 & 1459.88 & -49.7469 & -56.1281 \tabularnewline
84 & 1529 & 1550.01 & 1457.75 & 92.2577 & -21.0077 \tabularnewline
85 & 1343 & 1384.64 & 1456.08 & -71.446 & -41.6373 \tabularnewline
86 & 1405 & 1401.99 & 1451.79 & -49.7978 & 3.00617 \tabularnewline
87 & 1364 & 1307.74 & 1441.88 & -134.131 & 56.2562 \tabularnewline
88 & 1323 & 1241.38 & 1428.12 & -186.747 & 81.6219 \tabularnewline
89 & 1829 & 1699.75 & 1413.5 & 286.253 & 129.247 \tabularnewline
90 & 1726 & 1608.46 & 1397.58 & 210.873 & 117.543 \tabularnewline
91 & 1447 & 1358.1 & 1377.37 & -19.2793 & 88.9043 \tabularnewline
92 & 1343 & 1369.37 & 1351.13 & 18.2438 & -26.3688 \tabularnewline
93 & 1188 & 1258.93 & 1321.88 & -62.946 & -70.929 \tabularnewline
94 & 1199 & 1256.05 & 1289.58 & -33.534 & -57.0494 \tabularnewline
95 & 1178 & 1207.09 & 1256.83 & -49.7469 & -29.0864 \tabularnewline
96 & 1323 & 1320.63 & 1228.38 & 92.2577 & 2.36728 \tabularnewline
97 & 1064 & 1128.89 & 1200.33 & -71.446 & -64.8873 \tabularnewline
98 & 1054 & 1121.66 & 1171.46 & -49.7978 & -67.6605 \tabularnewline
99 & 1013 & 1008.91 & 1143.04 & -134.131 & 4.08951 \tabularnewline
100 & 899 & 926.128 & 1112.87 & -186.747 & -27.1281 \tabularnewline
101 & 1467 & 1363.79 & 1077.54 & 286.253 & 103.205 \tabularnewline
102 & 1405 & 1249.67 & 1038.79 & 210.873 & 155.335 \tabularnewline
103 & 1095 & 976.054 & 995.333 & -19.2793 & 118.946 \tabularnewline
104 & 1002 & 964.077 & 945.833 & 18.2438 & 37.9228 \tabularnewline
105 & 847 & 832.054 & 895 & -62.946 & 14.946 \tabularnewline
106 & 816 & 812.383 & 845.917 & -33.534 & 3.61728 \tabularnewline
107 & 713 & 750.545 & 800.292 & -49.7469 & -37.5448 \tabularnewline
108 & 858 & 849.091 & 756.833 & 92.2577 & 8.90895 \tabularnewline
109 & 486 & 641.929 & 713.375 & -71.446 & -155.929 \tabularnewline
110 & 444 & 620.952 & 670.75 & -49.7978 & -176.952 \tabularnewline
111 & 403 & 495.285 & 629.417 & -134.131 & -92.2855 \tabularnewline
112 & 331 & 403.086 & 589.833 & -186.747 & -72.0864 \tabularnewline
113 & 940 & 839.961 & 553.708 & 286.253 & 100.039 \tabularnewline
114 & 889 & 728.415 & 517.542 & 210.873 & 160.585 \tabularnewline
115 & 568 & NA & NA & -19.2793 & NA \tabularnewline
116 & 506 & NA & NA & 18.2438 & NA \tabularnewline
117 & 351 & NA & NA & -62.946 & NA \tabularnewline
118 & 362 & NA & NA & -33.534 & NA \tabularnewline
119 & 300 & NA & NA & -49.7469 & NA \tabularnewline
120 & 403 & NA & NA & 92.2577 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=295890&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]1943[/C][C]NA[/C][C]NA[/C][C]-71.446[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]1932[/C][C]NA[/C][C]NA[/C][C]-49.7978[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]1922[/C][C]NA[/C][C]NA[/C][C]-134.131[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]1901[/C][C]NA[/C][C]NA[/C][C]-186.747[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]2108[/C][C]NA[/C][C]NA[/C][C]286.253[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]2098[/C][C]NA[/C][C]NA[/C][C]210.873[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]1943[/C][C]1903.64[/C][C]1922.92[/C][C]-19.2793[/C][C]39.3627[/C][/ROW]
[ROW][C]8[/C][C]1839[/C][C]1932.12[/C][C]1913.88[/C][C]18.2438[/C][C]-93.1188[/C][/ROW]
[ROW][C]9[/C][C]1850[/C][C]1839.35[/C][C]1902.29[/C][C]-62.946[/C][C]10.6543[/C][/ROW]
[ROW][C]10[/C][C]1850[/C][C]1852.01[/C][C]1885.54[/C][C]-33.534[/C][C]-2.00772[/C][/ROW]
[ROW][C]11[/C][C]1860[/C][C]1818.17[/C][C]1867.92[/C][C]-49.7469[/C][C]41.8302[/C][/ROW]
[ROW][C]12[/C][C]1881[/C][C]1941.63[/C][C]1849.38[/C][C]92.2577[/C][C]-60.6327[/C][/ROW]
[ROW][C]13[/C][C]1839[/C][C]1754.22[/C][C]1825.67[/C][C]-71.446[/C][C]84.7793[/C][/ROW]
[ROW][C]14[/C][C]1819[/C][C]1756.08[/C][C]1805.88[/C][C]-49.7978[/C][C]62.9228[/C][/ROW]
[ROW][C]15[/C][C]1757[/C][C]1655.83[/C][C]1789.96[/C][C]-134.131[/C][C]101.173[/C][/ROW]
[ROW][C]16[/C][C]1664[/C][C]1589.42[/C][C]1776.17[/C][C]-186.747[/C][C]74.5802[/C][/ROW]
[ROW][C]17[/C][C]1922[/C][C]2046.46[/C][C]1760.21[/C][C]286.253[/C][C]-124.461[/C][/ROW]
[ROW][C]18[/C][C]1839[/C][C]1951.67[/C][C]1740.79[/C][C]210.873[/C][C]-112.665[/C][/ROW]
[ROW][C]19[/C][C]1633[/C][C]1703.43[/C][C]1722.71[/C][C]-19.2793[/C][C]-70.429[/C][/ROW]
[ROW][C]20[/C][C]1674[/C][C]1721.16[/C][C]1702.92[/C][C]18.2438[/C][C]-47.1605[/C][/ROW]
[ROW][C]21[/C][C]1633[/C][C]1615.85[/C][C]1678.79[/C][C]-62.946[/C][C]17.1543[/C][/ROW]
[ROW][C]22[/C][C]1736[/C][C]1618.13[/C][C]1651.67[/C][C]-33.534[/C][C]117.867[/C][/ROW]
[ROW][C]23[/C][C]1591[/C][C]1578.25[/C][C]1628[/C][C]-49.7469[/C][C]12.7469[/C][/ROW]
[ROW][C]24[/C][C]1684[/C][C]1699.63[/C][C]1607.37[/C][C]92.2577[/C][C]-15.6327[/C][/ROW]
[ROW][C]25[/C][C]1602[/C][C]1516.55[/C][C]1588[/C][C]-71.446[/C][C]85.446[/C][/ROW]
[ROW][C]26[/C][C]1581[/C][C]1522.66[/C][C]1572.46[/C][C]-49.7978[/C][C]58.3395[/C][/ROW]
[ROW][C]27[/C][C]1416[/C][C]1423.66[/C][C]1557.79[/C][C]-134.131[/C][C]-7.66049[/C][/ROW]
[ROW][C]28[/C][C]1354[/C][C]1352.96[/C][C]1539.71[/C][C]-186.747[/C][C]1.03858[/C][/ROW]
[ROW][C]29[/C][C]1664[/C][C]1809.63[/C][C]1523.38[/C][C]286.253[/C][C]-145.628[/C][/ROW]
[ROW][C]30[/C][C]1602[/C][C]1722.67[/C][C]1511.79[/C][C]210.873[/C][C]-120.665[/C][/ROW]
[ROW][C]31[/C][C]1405[/C][C]1481.35[/C][C]1500.62[/C][C]-19.2793[/C][C]-76.3457[/C][/ROW]
[ROW][C]32[/C][C]1529[/C][C]1505.95[/C][C]1487.71[/C][C]18.2438[/C][C]23.0478[/C][/ROW]
[ROW][C]33[/C][C]1426[/C][C]1410.55[/C][C]1473.5[/C][C]-62.946[/C][C]15.446[/C][/ROW]
[ROW][C]34[/C][C]1509[/C][C]1424.47[/C][C]1458[/C][C]-33.534[/C][C]84.534[/C][/ROW]
[ROW][C]35[/C][C]1426[/C][C]1398.34[/C][C]1448.08[/C][C]-49.7469[/C][C]27.6636[/C][/ROW]
[ROW][C]36[/C][C]1571[/C][C]1534.3[/C][C]1442.04[/C][C]92.2577[/C][C]36.7006[/C][/ROW]
[ROW][C]37[/C][C]1447[/C][C]1363.72[/C][C]1435.17[/C][C]-71.446[/C][C]83.2793[/C][/ROW]
[ROW][C]38[/C][C]1426[/C][C]1381.08[/C][C]1430.87[/C][C]-49.7978[/C][C]44.9228[/C][/ROW]
[ROW][C]39[/C][C]1230[/C][C]1293.29[/C][C]1427.42[/C][C]-134.131[/C][C]-63.2855[/C][/ROW]
[ROW][C]40[/C][C]1168[/C][C]1231.17[/C][C]1417.92[/C][C]-186.747[/C][C]-63.1698[/C][/ROW]
[ROW][C]41[/C][C]1612[/C][C]1692.09[/C][C]1405.83[/C][C]286.253[/C][C]-80.0864[/C][/ROW]
[ROW][C]42[/C][C]1509[/C][C]1605.5[/C][C]1394.62[/C][C]210.873[/C][C]-96.4985[/C][/ROW]
[ROW][C]43[/C][C]1333[/C][C]1360.26[/C][C]1379.54[/C][C]-19.2793[/C][C]-27.2623[/C][/ROW]
[ROW][C]44[/C][C]1498[/C][C]1381.41[/C][C]1363.17[/C][C]18.2438[/C][C]116.59[/C][/ROW]
[ROW][C]45[/C][C]1374[/C][C]1286.85[/C][C]1349.79[/C][C]-62.946[/C][C]87.1543[/C][/ROW]
[ROW][C]46[/C][C]1333[/C][C]1305.47[/C][C]1339[/C][C]-33.534[/C][C]27.534[/C][/ROW]
[ROW][C]47[/C][C]1312[/C][C]1281.92[/C][C]1331.67[/C][C]-49.7469[/C][C]30.0802[/C][/ROW]
[ROW][C]48[/C][C]1416[/C][C]1418.3[/C][C]1326.04[/C][C]92.2577[/C][C]-2.29938[/C][/ROW]
[ROW][C]49[/C][C]1240[/C][C]1249.85[/C][C]1321.29[/C][C]-71.446[/C][C]-9.84568[/C][/ROW]
[ROW][C]50[/C][C]1240[/C][C]1266.33[/C][C]1316.12[/C][C]-49.7978[/C][C]-26.3272[/C][/ROW]
[ROW][C]51[/C][C]1095[/C][C]1173.41[/C][C]1307.54[/C][C]-134.131[/C][C]-78.4105[/C][/ROW]
[ROW][C]52[/C][C]1044[/C][C]1110.5[/C][C]1297.25[/C][C]-186.747[/C][C]-66.5031[/C][/ROW]
[ROW][C]53[/C][C]1560[/C][C]1575.34[/C][C]1289.08[/C][C]286.253[/C][C]-15.3364[/C][/ROW]
[ROW][C]54[/C][C]1426[/C][C]1496.92[/C][C]1286.04[/C][C]210.873[/C][C]-70.9151[/C][/ROW]
[ROW][C]55[/C][C]1302[/C][C]1264.6[/C][C]1283.88[/C][C]-19.2793[/C][C]37.4043[/C][/ROW]
[ROW][C]56[/C][C]1405[/C][C]1302.12[/C][C]1283.88[/C][C]18.2438[/C][C]102.881[/C][/ROW]
[ROW][C]57[/C][C]1261[/C][C]1226.1[/C][C]1289.04[/C][C]-62.946[/C][C]34.9043[/C][/ROW]
[ROW][C]58[/C][C]1199[/C][C]1262.84[/C][C]1296.38[/C][C]-33.534[/C][C]-63.841[/C][/ROW]
[ROW][C]59[/C][C]1250[/C][C]1251.79[/C][C]1301.54[/C][C]-49.7469[/C][C]-1.79475[/C][/ROW]
[ROW][C]60[/C][C]1405[/C][C]1398.09[/C][C]1305.83[/C][C]92.2577[/C][C]6.90895[/C][/ROW]
[ROW][C]61[/C][C]1199[/C][C]1235.22[/C][C]1306.67[/C][C]-71.446[/C][C]-36.2207[/C][/ROW]
[ROW][C]62[/C][C]1281[/C][C]1253.41[/C][C]1303.21[/C][C]-49.7978[/C][C]27.5895[/C][/ROW]
[ROW][C]63[/C][C]1178[/C][C]1169.91[/C][C]1304.04[/C][C]-134.131[/C][C]8.08951[/C][/ROW]
[ROW][C]64[/C][C]1137[/C][C]1125.88[/C][C]1312.62[/C][C]-186.747[/C][C]11.1219[/C][/ROW]
[ROW][C]65[/C][C]1591[/C][C]1612.67[/C][C]1326.42[/C][C]286.253[/C][C]-21.6698[/C][/ROW]
[ROW][C]66[/C][C]1498[/C][C]1553.67[/C][C]1342.79[/C][C]210.873[/C][C]-55.6651[/C][/ROW]
[ROW][C]67[/C][C]1250[/C][C]1344.6[/C][C]1363.88[/C][C]-19.2793[/C][C]-94.5957[/C][/ROW]
[ROW][C]68[/C][C]1374[/C][C]1404.95[/C][C]1386.71[/C][C]18.2438[/C][C]-30.9522[/C][/ROW]
[ROW][C]69[/C][C]1312[/C][C]1346.18[/C][C]1409.12[/C][C]-62.946[/C][C]-34.179[/C][/ROW]
[ROW][C]70[/C][C]1354[/C][C]1397.97[/C][C]1431.5[/C][C]-33.534[/C][C]-43.966[/C][/ROW]
[ROW][C]71[/C][C]1426[/C][C]1403.71[/C][C]1453.46[/C][C]-49.7469[/C][C]22.2886[/C][/ROW]
[ROW][C]72[/C][C]1622[/C][C]1567.26[/C][C]1475[/C][C]92.2577[/C][C]54.7423[/C][/ROW]
[ROW][C]73[/C][C]1488[/C][C]1422.93[/C][C]1494.37[/C][C]-71.446[/C][C]65.071[/C][/ROW]
[ROW][C]74[/C][C]1540[/C][C]1455.79[/C][C]1505.58[/C][C]-49.7978[/C][C]84.2145[/C][/ROW]
[ROW][C]75[/C][C]1457[/C][C]1374.91[/C][C]1509.04[/C][C]-134.131[/C][C]82.0895[/C][/ROW]
[ROW][C]76[/C][C]1395[/C][C]1324.42[/C][C]1511.17[/C][C]-186.747[/C][C]70.5802[/C][/ROW]
[ROW][C]77[/C][C]1860[/C][C]1795.25[/C][C]1509[/C][C]286.253[/C][C]64.7469[/C][/ROW]
[ROW][C]78[/C][C]1746[/C][C]1713[/C][C]1502.12[/C][C]210.873[/C][C]33.0015[/C][/ROW]
[ROW][C]79[/C][C]1467[/C][C]1472.93[/C][C]1492.21[/C][C]-19.2793[/C][C]-5.92901[/C][/ROW]
[ROW][C]80[/C][C]1426[/C][C]1498.79[/C][C]1480.54[/C][C]18.2438[/C][C]-72.7855[/C][/ROW]
[ROW][C]81[/C][C]1343[/C][C]1408.1[/C][C]1471.04[/C][C]-62.946[/C][C]-65.0957[/C][/ROW]
[ROW][C]82[/C][C]1374[/C][C]1430.63[/C][C]1464.17[/C][C]-33.534[/C][C]-56.6327[/C][/ROW]
[ROW][C]83[/C][C]1354[/C][C]1410.13[/C][C]1459.88[/C][C]-49.7469[/C][C]-56.1281[/C][/ROW]
[ROW][C]84[/C][C]1529[/C][C]1550.01[/C][C]1457.75[/C][C]92.2577[/C][C]-21.0077[/C][/ROW]
[ROW][C]85[/C][C]1343[/C][C]1384.64[/C][C]1456.08[/C][C]-71.446[/C][C]-41.6373[/C][/ROW]
[ROW][C]86[/C][C]1405[/C][C]1401.99[/C][C]1451.79[/C][C]-49.7978[/C][C]3.00617[/C][/ROW]
[ROW][C]87[/C][C]1364[/C][C]1307.74[/C][C]1441.88[/C][C]-134.131[/C][C]56.2562[/C][/ROW]
[ROW][C]88[/C][C]1323[/C][C]1241.38[/C][C]1428.12[/C][C]-186.747[/C][C]81.6219[/C][/ROW]
[ROW][C]89[/C][C]1829[/C][C]1699.75[/C][C]1413.5[/C][C]286.253[/C][C]129.247[/C][/ROW]
[ROW][C]90[/C][C]1726[/C][C]1608.46[/C][C]1397.58[/C][C]210.873[/C][C]117.543[/C][/ROW]
[ROW][C]91[/C][C]1447[/C][C]1358.1[/C][C]1377.37[/C][C]-19.2793[/C][C]88.9043[/C][/ROW]
[ROW][C]92[/C][C]1343[/C][C]1369.37[/C][C]1351.13[/C][C]18.2438[/C][C]-26.3688[/C][/ROW]
[ROW][C]93[/C][C]1188[/C][C]1258.93[/C][C]1321.88[/C][C]-62.946[/C][C]-70.929[/C][/ROW]
[ROW][C]94[/C][C]1199[/C][C]1256.05[/C][C]1289.58[/C][C]-33.534[/C][C]-57.0494[/C][/ROW]
[ROW][C]95[/C][C]1178[/C][C]1207.09[/C][C]1256.83[/C][C]-49.7469[/C][C]-29.0864[/C][/ROW]
[ROW][C]96[/C][C]1323[/C][C]1320.63[/C][C]1228.38[/C][C]92.2577[/C][C]2.36728[/C][/ROW]
[ROW][C]97[/C][C]1064[/C][C]1128.89[/C][C]1200.33[/C][C]-71.446[/C][C]-64.8873[/C][/ROW]
[ROW][C]98[/C][C]1054[/C][C]1121.66[/C][C]1171.46[/C][C]-49.7978[/C][C]-67.6605[/C][/ROW]
[ROW][C]99[/C][C]1013[/C][C]1008.91[/C][C]1143.04[/C][C]-134.131[/C][C]4.08951[/C][/ROW]
[ROW][C]100[/C][C]899[/C][C]926.128[/C][C]1112.87[/C][C]-186.747[/C][C]-27.1281[/C][/ROW]
[ROW][C]101[/C][C]1467[/C][C]1363.79[/C][C]1077.54[/C][C]286.253[/C][C]103.205[/C][/ROW]
[ROW][C]102[/C][C]1405[/C][C]1249.67[/C][C]1038.79[/C][C]210.873[/C][C]155.335[/C][/ROW]
[ROW][C]103[/C][C]1095[/C][C]976.054[/C][C]995.333[/C][C]-19.2793[/C][C]118.946[/C][/ROW]
[ROW][C]104[/C][C]1002[/C][C]964.077[/C][C]945.833[/C][C]18.2438[/C][C]37.9228[/C][/ROW]
[ROW][C]105[/C][C]847[/C][C]832.054[/C][C]895[/C][C]-62.946[/C][C]14.946[/C][/ROW]
[ROW][C]106[/C][C]816[/C][C]812.383[/C][C]845.917[/C][C]-33.534[/C][C]3.61728[/C][/ROW]
[ROW][C]107[/C][C]713[/C][C]750.545[/C][C]800.292[/C][C]-49.7469[/C][C]-37.5448[/C][/ROW]
[ROW][C]108[/C][C]858[/C][C]849.091[/C][C]756.833[/C][C]92.2577[/C][C]8.90895[/C][/ROW]
[ROW][C]109[/C][C]486[/C][C]641.929[/C][C]713.375[/C][C]-71.446[/C][C]-155.929[/C][/ROW]
[ROW][C]110[/C][C]444[/C][C]620.952[/C][C]670.75[/C][C]-49.7978[/C][C]-176.952[/C][/ROW]
[ROW][C]111[/C][C]403[/C][C]495.285[/C][C]629.417[/C][C]-134.131[/C][C]-92.2855[/C][/ROW]
[ROW][C]112[/C][C]331[/C][C]403.086[/C][C]589.833[/C][C]-186.747[/C][C]-72.0864[/C][/ROW]
[ROW][C]113[/C][C]940[/C][C]839.961[/C][C]553.708[/C][C]286.253[/C][C]100.039[/C][/ROW]
[ROW][C]114[/C][C]889[/C][C]728.415[/C][C]517.542[/C][C]210.873[/C][C]160.585[/C][/ROW]
[ROW][C]115[/C][C]568[/C][C]NA[/C][C]NA[/C][C]-19.2793[/C][C]NA[/C][/ROW]
[ROW][C]116[/C][C]506[/C][C]NA[/C][C]NA[/C][C]18.2438[/C][C]NA[/C][/ROW]
[ROW][C]117[/C][C]351[/C][C]NA[/C][C]NA[/C][C]-62.946[/C][C]NA[/C][/ROW]
[ROW][C]118[/C][C]362[/C][C]NA[/C][C]NA[/C][C]-33.534[/C][C]NA[/C][/ROW]
[ROW][C]119[/C][C]300[/C][C]NA[/C][C]NA[/C][C]-49.7469[/C][C]NA[/C][/ROW]
[ROW][C]120[/C][C]403[/C][C]NA[/C][C]NA[/C][C]92.2577[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=295890&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=295890&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
11943NANA-71.446NA
21932NANA-49.7978NA
31922NANA-134.131NA
41901NANA-186.747NA
52108NANA286.253NA
62098NANA210.873NA
719431903.641922.92-19.279339.3627
818391932.121913.8818.2438-93.1188
918501839.351902.29-62.94610.6543
1018501852.011885.54-33.534-2.00772
1118601818.171867.92-49.746941.8302
1218811941.631849.3892.2577-60.6327
1318391754.221825.67-71.44684.7793
1418191756.081805.88-49.797862.9228
1517571655.831789.96-134.131101.173
1616641589.421776.17-186.74774.5802
1719222046.461760.21286.253-124.461
1818391951.671740.79210.873-112.665
1916331703.431722.71-19.2793-70.429
2016741721.161702.9218.2438-47.1605
2116331615.851678.79-62.94617.1543
2217361618.131651.67-33.534117.867
2315911578.251628-49.746912.7469
2416841699.631607.3792.2577-15.6327
2516021516.551588-71.44685.446
2615811522.661572.46-49.797858.3395
2714161423.661557.79-134.131-7.66049
2813541352.961539.71-186.7471.03858
2916641809.631523.38286.253-145.628
3016021722.671511.79210.873-120.665
3114051481.351500.62-19.2793-76.3457
3215291505.951487.7118.243823.0478
3314261410.551473.5-62.94615.446
3415091424.471458-33.53484.534
3514261398.341448.08-49.746927.6636
3615711534.31442.0492.257736.7006
3714471363.721435.17-71.44683.2793
3814261381.081430.87-49.797844.9228
3912301293.291427.42-134.131-63.2855
4011681231.171417.92-186.747-63.1698
4116121692.091405.83286.253-80.0864
4215091605.51394.62210.873-96.4985
4313331360.261379.54-19.2793-27.2623
4414981381.411363.1718.2438116.59
4513741286.851349.79-62.94687.1543
4613331305.471339-33.53427.534
4713121281.921331.67-49.746930.0802
4814161418.31326.0492.2577-2.29938
4912401249.851321.29-71.446-9.84568
5012401266.331316.12-49.7978-26.3272
5110951173.411307.54-134.131-78.4105
5210441110.51297.25-186.747-66.5031
5315601575.341289.08286.253-15.3364
5414261496.921286.04210.873-70.9151
5513021264.61283.88-19.279337.4043
5614051302.121283.8818.2438102.881
5712611226.11289.04-62.94634.9043
5811991262.841296.38-33.534-63.841
5912501251.791301.54-49.7469-1.79475
6014051398.091305.8392.25776.90895
6111991235.221306.67-71.446-36.2207
6212811253.411303.21-49.797827.5895
6311781169.911304.04-134.1318.08951
6411371125.881312.62-186.74711.1219
6515911612.671326.42286.253-21.6698
6614981553.671342.79210.873-55.6651
6712501344.61363.88-19.2793-94.5957
6813741404.951386.7118.2438-30.9522
6913121346.181409.12-62.946-34.179
7013541397.971431.5-33.534-43.966
7114261403.711453.46-49.746922.2886
7216221567.26147592.257754.7423
7314881422.931494.37-71.44665.071
7415401455.791505.58-49.797884.2145
7514571374.911509.04-134.13182.0895
7613951324.421511.17-186.74770.5802
7718601795.251509286.25364.7469
78174617131502.12210.87333.0015
7914671472.931492.21-19.2793-5.92901
8014261498.791480.5418.2438-72.7855
8113431408.11471.04-62.946-65.0957
8213741430.631464.17-33.534-56.6327
8313541410.131459.88-49.7469-56.1281
8415291550.011457.7592.2577-21.0077
8513431384.641456.08-71.446-41.6373
8614051401.991451.79-49.79783.00617
8713641307.741441.88-134.13156.2562
8813231241.381428.12-186.74781.6219
8918291699.751413.5286.253129.247
9017261608.461397.58210.873117.543
9114471358.11377.37-19.279388.9043
9213431369.371351.1318.2438-26.3688
9311881258.931321.88-62.946-70.929
9411991256.051289.58-33.534-57.0494
9511781207.091256.83-49.7469-29.0864
9613231320.631228.3892.25772.36728
9710641128.891200.33-71.446-64.8873
9810541121.661171.46-49.7978-67.6605
9910131008.911143.04-134.1314.08951
100899926.1281112.87-186.747-27.1281
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108858849.091756.83392.25778.90895
109486641.929713.375-71.446-155.929
110444620.952670.75-49.7978-176.952
111403495.285629.417-134.131-92.2855
112331403.086589.833-186.747-72.0864
113940839.961553.708286.253100.039
114889728.415517.542210.873160.585
115568NANA-19.2793NA
116506NANA18.2438NA
117351NANA-62.946NA
118362NANA-33.534NA
119300NANA-49.7469NA
120403NANA92.2577NA



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')