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Author's title

Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationMon, 15 Aug 2016 20:42:59 +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/Aug/15/t1471290230pc335pj4idq683p.htm/, Retrieved Sat, 27 Apr 2024 19:25:48 +0200
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=, Retrieved Sat, 27 Apr 2024 19:25:48 +0200
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact0
Dataseries X:
1230
1360
1360
1250
1420
1390
1280
1330
1400
1370
1290
1500
1260
1360
1320
1300
1440
1360
1330
1420
1510
1280
1310
1460
1280
1370
1390
1390
1460
1410
1230
1260
1590
1250
1400
1450
1220
1290
1400
1400
1460
1450
1270
1260
1550
1230
1380
1490
1180
1190
1400
1380
1510
1400
1290
1200
1600
1220
1380
1450
1260
1130
1390
1380
1570
1320
1210
1190
1580
1150
1330
1420
1260
1040
1450
1360
1500
1240
1260
1220
1680
1210
1350
1480
1270
1040
1450
1310
1510
1160
1290
1230
1680
1190
1310
1480
1320
1050
1380
1320
1480
1150
1250
1260
1680
1150
1310
1470




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Gwilym Jenkins' @ jenkins.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 & 3 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&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 time3 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
11230NANA-88.4375NA
21360NANA-160.417NA
31360NANA52.2396NA
41250NANA9.42708NA
51420NANA146.719NA
61390NANA-33.2292NA
712801271.041349.58-78.54178.95833
813301267.191350.83-83.645862.8125
914001577.031349.17227.865-177.031
1013701240.731349.58-108.854129.271
1112901349.221352.5-3.28125-59.2188
1215001472.241352.08120.15627.7604
1312601264.481352.92-88.4375-4.47917
1413601198.331358.75-160.417161.667
1513201419.321367.0852.2396-99.3229
1613001377.341367.929.42708-77.3438
1714401511.721365146.719-71.7188
1813601330.941364.17-33.229229.0625
1913301284.791363.33-78.541745.2083
2014201280.941364.58-83.6458139.062
2115101595.781367.92227.865-85.7812
2212801265.731374.58-108.85414.2708
2313101375.891379.17-3.28125-65.8854
2414601502.241382.08120.156-42.2396
2512801291.561380-88.4375-11.5625
2613701208.751369.17-160.417161.25
2713901418.071365.8352.2396-28.0729
2813901377.341367.929.4270812.6562
2914601517.141370.42146.719-57.1354
3014101340.521373.75-33.229269.4792
3112301292.291370.83-78.5417-62.2917
3212601281.351365-83.6458-21.3542
3315901589.951362.08227.8650.0520833
3412501254.061362.92-108.854-4.0625
3514001360.051363.33-3.2812539.9479
3614501485.161365120.156-35.1562
3712201279.91368.33-88.4375-59.8958
3812901209.581370-160.41780.4167
3914001420.571368.3352.2396-20.5729
4014001375.261365.839.4270824.7396
4114601510.891364.17146.719-50.8854
4214501331.771365-33.2292118.229
4312701286.461365-78.5417-16.4583
4412601275.521359.17-83.6458-15.5208
4515501582.861355227.865-32.8646
4612301245.311354.17-108.854-15.3125
4713801352.141355.42-3.2812527.8646
4814901475.571355.42120.15614.4271
4911801265.731354.17-88.4375-85.7292
5011901192.081352.5-160.417-2.08333
5114001404.321352.0852.2396-4.32292
5213801363.181353.759.4270816.8229
5315101500.051353.33146.7199.94792
5414001318.441351.67-33.229281.5625
5512901274.791353.33-78.541715.2083
5612001270.521354.17-83.6458-70.5208
5716001579.111351.25227.86520.8854
5812201241.981350.83-108.854-21.9792
5913801350.051353.33-3.2812529.9479
6014501472.661352.5120.156-22.6562
6112601257.41345.83-88.43752.60417
6211301181.671342.08-160.417-51.6667
6313901393.071340.8352.2396-3.07292
6413801346.511337.089.4270833.4896
6515701478.81332.08146.71991.1979
6613201295.521328.75-33.229224.4792
6712101248.961327.5-78.5417-38.9583
6811901240.11323.75-83.6458-50.1042
6915801550.361322.5227.86529.6354
7011501215.311324.17-108.854-65.3125
7113301317.141320.42-3.2812512.8646
7214201434.321314.17120.156-14.3229
7312601224.481312.92-88.437535.5208
7410401155.831316.25-160.417-115.833
7514501373.911321.6752.239676.0938
7613601337.761328.339.4270822.2396
7715001478.391331.67146.71921.6146
7812401301.771335-33.2292-61.7708
7912601259.371337.92-78.54170.625
8012201254.691338.33-83.6458-34.6875
8116801566.21338.33227.865113.802
8212101227.41336.25-108.854-17.3958
8313501331.31334.58-3.2812518.6979
8414801451.821331.67120.15628.1771
8512701241.151329.58-88.437528.8542
8610401170.831331.25-160.417-130.833
8714501383.911331.6752.239666.0938
8813101340.261330.839.42708-30.2604
8915101475.051328.33146.71934.9479
9011601293.441326.67-33.2292-133.438
9112901250.211328.75-78.541739.7917
9212301247.61331.25-83.6458-17.6042
9316801556.611328.75227.865123.385
9411901217.41326.25-108.854-27.3958
9513101322.141325.42-3.28125-12.1354
9614801443.911323.75120.15636.0938
9713201233.231321.67-88.437586.7708
9810501160.831321.25-160.417-110.833
9913801374.741322.552.23965.26042
10013201330.261320.839.42708-10.2604
10114801465.891319.17146.71914.1146
10211501285.521318.75-33.2292-135.521
1031250NANA-78.5417NA
1041260NANA-83.6458NA
1051680NANA227.865NA
1061150NANA-108.854NA
1071310NANA-3.28125NA
1081470NANA120.156NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 1230 & NA & NA & -88.4375 & NA \tabularnewline
2 & 1360 & NA & NA & -160.417 & NA \tabularnewline
3 & 1360 & NA & NA & 52.2396 & NA \tabularnewline
4 & 1250 & NA & NA & 9.42708 & NA \tabularnewline
5 & 1420 & NA & NA & 146.719 & NA \tabularnewline
6 & 1390 & NA & NA & -33.2292 & NA \tabularnewline
7 & 1280 & 1271.04 & 1349.58 & -78.5417 & 8.95833 \tabularnewline
8 & 1330 & 1267.19 & 1350.83 & -83.6458 & 62.8125 \tabularnewline
9 & 1400 & 1577.03 & 1349.17 & 227.865 & -177.031 \tabularnewline
10 & 1370 & 1240.73 & 1349.58 & -108.854 & 129.271 \tabularnewline
11 & 1290 & 1349.22 & 1352.5 & -3.28125 & -59.2188 \tabularnewline
12 & 1500 & 1472.24 & 1352.08 & 120.156 & 27.7604 \tabularnewline
13 & 1260 & 1264.48 & 1352.92 & -88.4375 & -4.47917 \tabularnewline
14 & 1360 & 1198.33 & 1358.75 & -160.417 & 161.667 \tabularnewline
15 & 1320 & 1419.32 & 1367.08 & 52.2396 & -99.3229 \tabularnewline
16 & 1300 & 1377.34 & 1367.92 & 9.42708 & -77.3438 \tabularnewline
17 & 1440 & 1511.72 & 1365 & 146.719 & -71.7188 \tabularnewline
18 & 1360 & 1330.94 & 1364.17 & -33.2292 & 29.0625 \tabularnewline
19 & 1330 & 1284.79 & 1363.33 & -78.5417 & 45.2083 \tabularnewline
20 & 1420 & 1280.94 & 1364.58 & -83.6458 & 139.062 \tabularnewline
21 & 1510 & 1595.78 & 1367.92 & 227.865 & -85.7812 \tabularnewline
22 & 1280 & 1265.73 & 1374.58 & -108.854 & 14.2708 \tabularnewline
23 & 1310 & 1375.89 & 1379.17 & -3.28125 & -65.8854 \tabularnewline
24 & 1460 & 1502.24 & 1382.08 & 120.156 & -42.2396 \tabularnewline
25 & 1280 & 1291.56 & 1380 & -88.4375 & -11.5625 \tabularnewline
26 & 1370 & 1208.75 & 1369.17 & -160.417 & 161.25 \tabularnewline
27 & 1390 & 1418.07 & 1365.83 & 52.2396 & -28.0729 \tabularnewline
28 & 1390 & 1377.34 & 1367.92 & 9.42708 & 12.6562 \tabularnewline
29 & 1460 & 1517.14 & 1370.42 & 146.719 & -57.1354 \tabularnewline
30 & 1410 & 1340.52 & 1373.75 & -33.2292 & 69.4792 \tabularnewline
31 & 1230 & 1292.29 & 1370.83 & -78.5417 & -62.2917 \tabularnewline
32 & 1260 & 1281.35 & 1365 & -83.6458 & -21.3542 \tabularnewline
33 & 1590 & 1589.95 & 1362.08 & 227.865 & 0.0520833 \tabularnewline
34 & 1250 & 1254.06 & 1362.92 & -108.854 & -4.0625 \tabularnewline
35 & 1400 & 1360.05 & 1363.33 & -3.28125 & 39.9479 \tabularnewline
36 & 1450 & 1485.16 & 1365 & 120.156 & -35.1562 \tabularnewline
37 & 1220 & 1279.9 & 1368.33 & -88.4375 & -59.8958 \tabularnewline
38 & 1290 & 1209.58 & 1370 & -160.417 & 80.4167 \tabularnewline
39 & 1400 & 1420.57 & 1368.33 & 52.2396 & -20.5729 \tabularnewline
40 & 1400 & 1375.26 & 1365.83 & 9.42708 & 24.7396 \tabularnewline
41 & 1460 & 1510.89 & 1364.17 & 146.719 & -50.8854 \tabularnewline
42 & 1450 & 1331.77 & 1365 & -33.2292 & 118.229 \tabularnewline
43 & 1270 & 1286.46 & 1365 & -78.5417 & -16.4583 \tabularnewline
44 & 1260 & 1275.52 & 1359.17 & -83.6458 & -15.5208 \tabularnewline
45 & 1550 & 1582.86 & 1355 & 227.865 & -32.8646 \tabularnewline
46 & 1230 & 1245.31 & 1354.17 & -108.854 & -15.3125 \tabularnewline
47 & 1380 & 1352.14 & 1355.42 & -3.28125 & 27.8646 \tabularnewline
48 & 1490 & 1475.57 & 1355.42 & 120.156 & 14.4271 \tabularnewline
49 & 1180 & 1265.73 & 1354.17 & -88.4375 & -85.7292 \tabularnewline
50 & 1190 & 1192.08 & 1352.5 & -160.417 & -2.08333 \tabularnewline
51 & 1400 & 1404.32 & 1352.08 & 52.2396 & -4.32292 \tabularnewline
52 & 1380 & 1363.18 & 1353.75 & 9.42708 & 16.8229 \tabularnewline
53 & 1510 & 1500.05 & 1353.33 & 146.719 & 9.94792 \tabularnewline
54 & 1400 & 1318.44 & 1351.67 & -33.2292 & 81.5625 \tabularnewline
55 & 1290 & 1274.79 & 1353.33 & -78.5417 & 15.2083 \tabularnewline
56 & 1200 & 1270.52 & 1354.17 & -83.6458 & -70.5208 \tabularnewline
57 & 1600 & 1579.11 & 1351.25 & 227.865 & 20.8854 \tabularnewline
58 & 1220 & 1241.98 & 1350.83 & -108.854 & -21.9792 \tabularnewline
59 & 1380 & 1350.05 & 1353.33 & -3.28125 & 29.9479 \tabularnewline
60 & 1450 & 1472.66 & 1352.5 & 120.156 & -22.6562 \tabularnewline
61 & 1260 & 1257.4 & 1345.83 & -88.4375 & 2.60417 \tabularnewline
62 & 1130 & 1181.67 & 1342.08 & -160.417 & -51.6667 \tabularnewline
63 & 1390 & 1393.07 & 1340.83 & 52.2396 & -3.07292 \tabularnewline
64 & 1380 & 1346.51 & 1337.08 & 9.42708 & 33.4896 \tabularnewline
65 & 1570 & 1478.8 & 1332.08 & 146.719 & 91.1979 \tabularnewline
66 & 1320 & 1295.52 & 1328.75 & -33.2292 & 24.4792 \tabularnewline
67 & 1210 & 1248.96 & 1327.5 & -78.5417 & -38.9583 \tabularnewline
68 & 1190 & 1240.1 & 1323.75 & -83.6458 & -50.1042 \tabularnewline
69 & 1580 & 1550.36 & 1322.5 & 227.865 & 29.6354 \tabularnewline
70 & 1150 & 1215.31 & 1324.17 & -108.854 & -65.3125 \tabularnewline
71 & 1330 & 1317.14 & 1320.42 & -3.28125 & 12.8646 \tabularnewline
72 & 1420 & 1434.32 & 1314.17 & 120.156 & -14.3229 \tabularnewline
73 & 1260 & 1224.48 & 1312.92 & -88.4375 & 35.5208 \tabularnewline
74 & 1040 & 1155.83 & 1316.25 & -160.417 & -115.833 \tabularnewline
75 & 1450 & 1373.91 & 1321.67 & 52.2396 & 76.0938 \tabularnewline
76 & 1360 & 1337.76 & 1328.33 & 9.42708 & 22.2396 \tabularnewline
77 & 1500 & 1478.39 & 1331.67 & 146.719 & 21.6146 \tabularnewline
78 & 1240 & 1301.77 & 1335 & -33.2292 & -61.7708 \tabularnewline
79 & 1260 & 1259.37 & 1337.92 & -78.5417 & 0.625 \tabularnewline
80 & 1220 & 1254.69 & 1338.33 & -83.6458 & -34.6875 \tabularnewline
81 & 1680 & 1566.2 & 1338.33 & 227.865 & 113.802 \tabularnewline
82 & 1210 & 1227.4 & 1336.25 & -108.854 & -17.3958 \tabularnewline
83 & 1350 & 1331.3 & 1334.58 & -3.28125 & 18.6979 \tabularnewline
84 & 1480 & 1451.82 & 1331.67 & 120.156 & 28.1771 \tabularnewline
85 & 1270 & 1241.15 & 1329.58 & -88.4375 & 28.8542 \tabularnewline
86 & 1040 & 1170.83 & 1331.25 & -160.417 & -130.833 \tabularnewline
87 & 1450 & 1383.91 & 1331.67 & 52.2396 & 66.0938 \tabularnewline
88 & 1310 & 1340.26 & 1330.83 & 9.42708 & -30.2604 \tabularnewline
89 & 1510 & 1475.05 & 1328.33 & 146.719 & 34.9479 \tabularnewline
90 & 1160 & 1293.44 & 1326.67 & -33.2292 & -133.438 \tabularnewline
91 & 1290 & 1250.21 & 1328.75 & -78.5417 & 39.7917 \tabularnewline
92 & 1230 & 1247.6 & 1331.25 & -83.6458 & -17.6042 \tabularnewline
93 & 1680 & 1556.61 & 1328.75 & 227.865 & 123.385 \tabularnewline
94 & 1190 & 1217.4 & 1326.25 & -108.854 & -27.3958 \tabularnewline
95 & 1310 & 1322.14 & 1325.42 & -3.28125 & -12.1354 \tabularnewline
96 & 1480 & 1443.91 & 1323.75 & 120.156 & 36.0938 \tabularnewline
97 & 1320 & 1233.23 & 1321.67 & -88.4375 & 86.7708 \tabularnewline
98 & 1050 & 1160.83 & 1321.25 & -160.417 & -110.833 \tabularnewline
99 & 1380 & 1374.74 & 1322.5 & 52.2396 & 5.26042 \tabularnewline
100 & 1320 & 1330.26 & 1320.83 & 9.42708 & -10.2604 \tabularnewline
101 & 1480 & 1465.89 & 1319.17 & 146.719 & 14.1146 \tabularnewline
102 & 1150 & 1285.52 & 1318.75 & -33.2292 & -135.521 \tabularnewline
103 & 1250 & NA & NA & -78.5417 & NA \tabularnewline
104 & 1260 & NA & NA & -83.6458 & NA \tabularnewline
105 & 1680 & NA & NA & 227.865 & NA \tabularnewline
106 & 1150 & NA & NA & -108.854 & NA \tabularnewline
107 & 1310 & NA & NA & -3.28125 & NA \tabularnewline
108 & 1470 & NA & NA & 120.156 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&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]1230[/C][C]NA[/C][C]NA[/C][C]-88.4375[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]1360[/C][C]NA[/C][C]NA[/C][C]-160.417[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]1360[/C][C]NA[/C][C]NA[/C][C]52.2396[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]1250[/C][C]NA[/C][C]NA[/C][C]9.42708[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]1420[/C][C]NA[/C][C]NA[/C][C]146.719[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]1390[/C][C]NA[/C][C]NA[/C][C]-33.2292[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]1280[/C][C]1271.04[/C][C]1349.58[/C][C]-78.5417[/C][C]8.95833[/C][/ROW]
[ROW][C]8[/C][C]1330[/C][C]1267.19[/C][C]1350.83[/C][C]-83.6458[/C][C]62.8125[/C][/ROW]
[ROW][C]9[/C][C]1400[/C][C]1577.03[/C][C]1349.17[/C][C]227.865[/C][C]-177.031[/C][/ROW]
[ROW][C]10[/C][C]1370[/C][C]1240.73[/C][C]1349.58[/C][C]-108.854[/C][C]129.271[/C][/ROW]
[ROW][C]11[/C][C]1290[/C][C]1349.22[/C][C]1352.5[/C][C]-3.28125[/C][C]-59.2188[/C][/ROW]
[ROW][C]12[/C][C]1500[/C][C]1472.24[/C][C]1352.08[/C][C]120.156[/C][C]27.7604[/C][/ROW]
[ROW][C]13[/C][C]1260[/C][C]1264.48[/C][C]1352.92[/C][C]-88.4375[/C][C]-4.47917[/C][/ROW]
[ROW][C]14[/C][C]1360[/C][C]1198.33[/C][C]1358.75[/C][C]-160.417[/C][C]161.667[/C][/ROW]
[ROW][C]15[/C][C]1320[/C][C]1419.32[/C][C]1367.08[/C][C]52.2396[/C][C]-99.3229[/C][/ROW]
[ROW][C]16[/C][C]1300[/C][C]1377.34[/C][C]1367.92[/C][C]9.42708[/C][C]-77.3438[/C][/ROW]
[ROW][C]17[/C][C]1440[/C][C]1511.72[/C][C]1365[/C][C]146.719[/C][C]-71.7188[/C][/ROW]
[ROW][C]18[/C][C]1360[/C][C]1330.94[/C][C]1364.17[/C][C]-33.2292[/C][C]29.0625[/C][/ROW]
[ROW][C]19[/C][C]1330[/C][C]1284.79[/C][C]1363.33[/C][C]-78.5417[/C][C]45.2083[/C][/ROW]
[ROW][C]20[/C][C]1420[/C][C]1280.94[/C][C]1364.58[/C][C]-83.6458[/C][C]139.062[/C][/ROW]
[ROW][C]21[/C][C]1510[/C][C]1595.78[/C][C]1367.92[/C][C]227.865[/C][C]-85.7812[/C][/ROW]
[ROW][C]22[/C][C]1280[/C][C]1265.73[/C][C]1374.58[/C][C]-108.854[/C][C]14.2708[/C][/ROW]
[ROW][C]23[/C][C]1310[/C][C]1375.89[/C][C]1379.17[/C][C]-3.28125[/C][C]-65.8854[/C][/ROW]
[ROW][C]24[/C][C]1460[/C][C]1502.24[/C][C]1382.08[/C][C]120.156[/C][C]-42.2396[/C][/ROW]
[ROW][C]25[/C][C]1280[/C][C]1291.56[/C][C]1380[/C][C]-88.4375[/C][C]-11.5625[/C][/ROW]
[ROW][C]26[/C][C]1370[/C][C]1208.75[/C][C]1369.17[/C][C]-160.417[/C][C]161.25[/C][/ROW]
[ROW][C]27[/C][C]1390[/C][C]1418.07[/C][C]1365.83[/C][C]52.2396[/C][C]-28.0729[/C][/ROW]
[ROW][C]28[/C][C]1390[/C][C]1377.34[/C][C]1367.92[/C][C]9.42708[/C][C]12.6562[/C][/ROW]
[ROW][C]29[/C][C]1460[/C][C]1517.14[/C][C]1370.42[/C][C]146.719[/C][C]-57.1354[/C][/ROW]
[ROW][C]30[/C][C]1410[/C][C]1340.52[/C][C]1373.75[/C][C]-33.2292[/C][C]69.4792[/C][/ROW]
[ROW][C]31[/C][C]1230[/C][C]1292.29[/C][C]1370.83[/C][C]-78.5417[/C][C]-62.2917[/C][/ROW]
[ROW][C]32[/C][C]1260[/C][C]1281.35[/C][C]1365[/C][C]-83.6458[/C][C]-21.3542[/C][/ROW]
[ROW][C]33[/C][C]1590[/C][C]1589.95[/C][C]1362.08[/C][C]227.865[/C][C]0.0520833[/C][/ROW]
[ROW][C]34[/C][C]1250[/C][C]1254.06[/C][C]1362.92[/C][C]-108.854[/C][C]-4.0625[/C][/ROW]
[ROW][C]35[/C][C]1400[/C][C]1360.05[/C][C]1363.33[/C][C]-3.28125[/C][C]39.9479[/C][/ROW]
[ROW][C]36[/C][C]1450[/C][C]1485.16[/C][C]1365[/C][C]120.156[/C][C]-35.1562[/C][/ROW]
[ROW][C]37[/C][C]1220[/C][C]1279.9[/C][C]1368.33[/C][C]-88.4375[/C][C]-59.8958[/C][/ROW]
[ROW][C]38[/C][C]1290[/C][C]1209.58[/C][C]1370[/C][C]-160.417[/C][C]80.4167[/C][/ROW]
[ROW][C]39[/C][C]1400[/C][C]1420.57[/C][C]1368.33[/C][C]52.2396[/C][C]-20.5729[/C][/ROW]
[ROW][C]40[/C][C]1400[/C][C]1375.26[/C][C]1365.83[/C][C]9.42708[/C][C]24.7396[/C][/ROW]
[ROW][C]41[/C][C]1460[/C][C]1510.89[/C][C]1364.17[/C][C]146.719[/C][C]-50.8854[/C][/ROW]
[ROW][C]42[/C][C]1450[/C][C]1331.77[/C][C]1365[/C][C]-33.2292[/C][C]118.229[/C][/ROW]
[ROW][C]43[/C][C]1270[/C][C]1286.46[/C][C]1365[/C][C]-78.5417[/C][C]-16.4583[/C][/ROW]
[ROW][C]44[/C][C]1260[/C][C]1275.52[/C][C]1359.17[/C][C]-83.6458[/C][C]-15.5208[/C][/ROW]
[ROW][C]45[/C][C]1550[/C][C]1582.86[/C][C]1355[/C][C]227.865[/C][C]-32.8646[/C][/ROW]
[ROW][C]46[/C][C]1230[/C][C]1245.31[/C][C]1354.17[/C][C]-108.854[/C][C]-15.3125[/C][/ROW]
[ROW][C]47[/C][C]1380[/C][C]1352.14[/C][C]1355.42[/C][C]-3.28125[/C][C]27.8646[/C][/ROW]
[ROW][C]48[/C][C]1490[/C][C]1475.57[/C][C]1355.42[/C][C]120.156[/C][C]14.4271[/C][/ROW]
[ROW][C]49[/C][C]1180[/C][C]1265.73[/C][C]1354.17[/C][C]-88.4375[/C][C]-85.7292[/C][/ROW]
[ROW][C]50[/C][C]1190[/C][C]1192.08[/C][C]1352.5[/C][C]-160.417[/C][C]-2.08333[/C][/ROW]
[ROW][C]51[/C][C]1400[/C][C]1404.32[/C][C]1352.08[/C][C]52.2396[/C][C]-4.32292[/C][/ROW]
[ROW][C]52[/C][C]1380[/C][C]1363.18[/C][C]1353.75[/C][C]9.42708[/C][C]16.8229[/C][/ROW]
[ROW][C]53[/C][C]1510[/C][C]1500.05[/C][C]1353.33[/C][C]146.719[/C][C]9.94792[/C][/ROW]
[ROW][C]54[/C][C]1400[/C][C]1318.44[/C][C]1351.67[/C][C]-33.2292[/C][C]81.5625[/C][/ROW]
[ROW][C]55[/C][C]1290[/C][C]1274.79[/C][C]1353.33[/C][C]-78.5417[/C][C]15.2083[/C][/ROW]
[ROW][C]56[/C][C]1200[/C][C]1270.52[/C][C]1354.17[/C][C]-83.6458[/C][C]-70.5208[/C][/ROW]
[ROW][C]57[/C][C]1600[/C][C]1579.11[/C][C]1351.25[/C][C]227.865[/C][C]20.8854[/C][/ROW]
[ROW][C]58[/C][C]1220[/C][C]1241.98[/C][C]1350.83[/C][C]-108.854[/C][C]-21.9792[/C][/ROW]
[ROW][C]59[/C][C]1380[/C][C]1350.05[/C][C]1353.33[/C][C]-3.28125[/C][C]29.9479[/C][/ROW]
[ROW][C]60[/C][C]1450[/C][C]1472.66[/C][C]1352.5[/C][C]120.156[/C][C]-22.6562[/C][/ROW]
[ROW][C]61[/C][C]1260[/C][C]1257.4[/C][C]1345.83[/C][C]-88.4375[/C][C]2.60417[/C][/ROW]
[ROW][C]62[/C][C]1130[/C][C]1181.67[/C][C]1342.08[/C][C]-160.417[/C][C]-51.6667[/C][/ROW]
[ROW][C]63[/C][C]1390[/C][C]1393.07[/C][C]1340.83[/C][C]52.2396[/C][C]-3.07292[/C][/ROW]
[ROW][C]64[/C][C]1380[/C][C]1346.51[/C][C]1337.08[/C][C]9.42708[/C][C]33.4896[/C][/ROW]
[ROW][C]65[/C][C]1570[/C][C]1478.8[/C][C]1332.08[/C][C]146.719[/C][C]91.1979[/C][/ROW]
[ROW][C]66[/C][C]1320[/C][C]1295.52[/C][C]1328.75[/C][C]-33.2292[/C][C]24.4792[/C][/ROW]
[ROW][C]67[/C][C]1210[/C][C]1248.96[/C][C]1327.5[/C][C]-78.5417[/C][C]-38.9583[/C][/ROW]
[ROW][C]68[/C][C]1190[/C][C]1240.1[/C][C]1323.75[/C][C]-83.6458[/C][C]-50.1042[/C][/ROW]
[ROW][C]69[/C][C]1580[/C][C]1550.36[/C][C]1322.5[/C][C]227.865[/C][C]29.6354[/C][/ROW]
[ROW][C]70[/C][C]1150[/C][C]1215.31[/C][C]1324.17[/C][C]-108.854[/C][C]-65.3125[/C][/ROW]
[ROW][C]71[/C][C]1330[/C][C]1317.14[/C][C]1320.42[/C][C]-3.28125[/C][C]12.8646[/C][/ROW]
[ROW][C]72[/C][C]1420[/C][C]1434.32[/C][C]1314.17[/C][C]120.156[/C][C]-14.3229[/C][/ROW]
[ROW][C]73[/C][C]1260[/C][C]1224.48[/C][C]1312.92[/C][C]-88.4375[/C][C]35.5208[/C][/ROW]
[ROW][C]74[/C][C]1040[/C][C]1155.83[/C][C]1316.25[/C][C]-160.417[/C][C]-115.833[/C][/ROW]
[ROW][C]75[/C][C]1450[/C][C]1373.91[/C][C]1321.67[/C][C]52.2396[/C][C]76.0938[/C][/ROW]
[ROW][C]76[/C][C]1360[/C][C]1337.76[/C][C]1328.33[/C][C]9.42708[/C][C]22.2396[/C][/ROW]
[ROW][C]77[/C][C]1500[/C][C]1478.39[/C][C]1331.67[/C][C]146.719[/C][C]21.6146[/C][/ROW]
[ROW][C]78[/C][C]1240[/C][C]1301.77[/C][C]1335[/C][C]-33.2292[/C][C]-61.7708[/C][/ROW]
[ROW][C]79[/C][C]1260[/C][C]1259.37[/C][C]1337.92[/C][C]-78.5417[/C][C]0.625[/C][/ROW]
[ROW][C]80[/C][C]1220[/C][C]1254.69[/C][C]1338.33[/C][C]-83.6458[/C][C]-34.6875[/C][/ROW]
[ROW][C]81[/C][C]1680[/C][C]1566.2[/C][C]1338.33[/C][C]227.865[/C][C]113.802[/C][/ROW]
[ROW][C]82[/C][C]1210[/C][C]1227.4[/C][C]1336.25[/C][C]-108.854[/C][C]-17.3958[/C][/ROW]
[ROW][C]83[/C][C]1350[/C][C]1331.3[/C][C]1334.58[/C][C]-3.28125[/C][C]18.6979[/C][/ROW]
[ROW][C]84[/C][C]1480[/C][C]1451.82[/C][C]1331.67[/C][C]120.156[/C][C]28.1771[/C][/ROW]
[ROW][C]85[/C][C]1270[/C][C]1241.15[/C][C]1329.58[/C][C]-88.4375[/C][C]28.8542[/C][/ROW]
[ROW][C]86[/C][C]1040[/C][C]1170.83[/C][C]1331.25[/C][C]-160.417[/C][C]-130.833[/C][/ROW]
[ROW][C]87[/C][C]1450[/C][C]1383.91[/C][C]1331.67[/C][C]52.2396[/C][C]66.0938[/C][/ROW]
[ROW][C]88[/C][C]1310[/C][C]1340.26[/C][C]1330.83[/C][C]9.42708[/C][C]-30.2604[/C][/ROW]
[ROW][C]89[/C][C]1510[/C][C]1475.05[/C][C]1328.33[/C][C]146.719[/C][C]34.9479[/C][/ROW]
[ROW][C]90[/C][C]1160[/C][C]1293.44[/C][C]1326.67[/C][C]-33.2292[/C][C]-133.438[/C][/ROW]
[ROW][C]91[/C][C]1290[/C][C]1250.21[/C][C]1328.75[/C][C]-78.5417[/C][C]39.7917[/C][/ROW]
[ROW][C]92[/C][C]1230[/C][C]1247.6[/C][C]1331.25[/C][C]-83.6458[/C][C]-17.6042[/C][/ROW]
[ROW][C]93[/C][C]1680[/C][C]1556.61[/C][C]1328.75[/C][C]227.865[/C][C]123.385[/C][/ROW]
[ROW][C]94[/C][C]1190[/C][C]1217.4[/C][C]1326.25[/C][C]-108.854[/C][C]-27.3958[/C][/ROW]
[ROW][C]95[/C][C]1310[/C][C]1322.14[/C][C]1325.42[/C][C]-3.28125[/C][C]-12.1354[/C][/ROW]
[ROW][C]96[/C][C]1480[/C][C]1443.91[/C][C]1323.75[/C][C]120.156[/C][C]36.0938[/C][/ROW]
[ROW][C]97[/C][C]1320[/C][C]1233.23[/C][C]1321.67[/C][C]-88.4375[/C][C]86.7708[/C][/ROW]
[ROW][C]98[/C][C]1050[/C][C]1160.83[/C][C]1321.25[/C][C]-160.417[/C][C]-110.833[/C][/ROW]
[ROW][C]99[/C][C]1380[/C][C]1374.74[/C][C]1322.5[/C][C]52.2396[/C][C]5.26042[/C][/ROW]
[ROW][C]100[/C][C]1320[/C][C]1330.26[/C][C]1320.83[/C][C]9.42708[/C][C]-10.2604[/C][/ROW]
[ROW][C]101[/C][C]1480[/C][C]1465.89[/C][C]1319.17[/C][C]146.719[/C][C]14.1146[/C][/ROW]
[ROW][C]102[/C][C]1150[/C][C]1285.52[/C][C]1318.75[/C][C]-33.2292[/C][C]-135.521[/C][/ROW]
[ROW][C]103[/C][C]1250[/C][C]NA[/C][C]NA[/C][C]-78.5417[/C][C]NA[/C][/ROW]
[ROW][C]104[/C][C]1260[/C][C]NA[/C][C]NA[/C][C]-83.6458[/C][C]NA[/C][/ROW]
[ROW][C]105[/C][C]1680[/C][C]NA[/C][C]NA[/C][C]227.865[/C][C]NA[/C][/ROW]
[ROW][C]106[/C][C]1150[/C][C]NA[/C][C]NA[/C][C]-108.854[/C][C]NA[/C][/ROW]
[ROW][C]107[/C][C]1310[/C][C]NA[/C][C]NA[/C][C]-3.28125[/C][C]NA[/C][/ROW]
[ROW][C]108[/C][C]1470[/C][C]NA[/C][C]NA[/C][C]120.156[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&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
11230NANA-88.4375NA
21360NANA-160.417NA
31360NANA52.2396NA
41250NANA9.42708NA
51420NANA146.719NA
61390NANA-33.2292NA
712801271.041349.58-78.54178.95833
813301267.191350.83-83.645862.8125
914001577.031349.17227.865-177.031
1013701240.731349.58-108.854129.271
1112901349.221352.5-3.28125-59.2188
1215001472.241352.08120.15627.7604
1312601264.481352.92-88.4375-4.47917
1413601198.331358.75-160.417161.667
1513201419.321367.0852.2396-99.3229
1613001377.341367.929.42708-77.3438
1714401511.721365146.719-71.7188
1813601330.941364.17-33.229229.0625
1913301284.791363.33-78.541745.2083
2014201280.941364.58-83.6458139.062
2115101595.781367.92227.865-85.7812
2212801265.731374.58-108.85414.2708
2313101375.891379.17-3.28125-65.8854
2414601502.241382.08120.156-42.2396
2512801291.561380-88.4375-11.5625
2613701208.751369.17-160.417161.25
2713901418.071365.8352.2396-28.0729
2813901377.341367.929.4270812.6562
2914601517.141370.42146.719-57.1354
3014101340.521373.75-33.229269.4792
3112301292.291370.83-78.5417-62.2917
3212601281.351365-83.6458-21.3542
3315901589.951362.08227.8650.0520833
3412501254.061362.92-108.854-4.0625
3514001360.051363.33-3.2812539.9479
3614501485.161365120.156-35.1562
3712201279.91368.33-88.4375-59.8958
3812901209.581370-160.41780.4167
3914001420.571368.3352.2396-20.5729
4014001375.261365.839.4270824.7396
4114601510.891364.17146.719-50.8854
4214501331.771365-33.2292118.229
4312701286.461365-78.5417-16.4583
4412601275.521359.17-83.6458-15.5208
4515501582.861355227.865-32.8646
4612301245.311354.17-108.854-15.3125
4713801352.141355.42-3.2812527.8646
4814901475.571355.42120.15614.4271
4911801265.731354.17-88.4375-85.7292
5011901192.081352.5-160.417-2.08333
5114001404.321352.0852.2396-4.32292
5213801363.181353.759.4270816.8229
5315101500.051353.33146.7199.94792
5414001318.441351.67-33.229281.5625
5512901274.791353.33-78.541715.2083
5612001270.521354.17-83.6458-70.5208
5716001579.111351.25227.86520.8854
5812201241.981350.83-108.854-21.9792
5913801350.051353.33-3.2812529.9479
6014501472.661352.5120.156-22.6562
6112601257.41345.83-88.43752.60417
6211301181.671342.08-160.417-51.6667
6313901393.071340.8352.2396-3.07292
6413801346.511337.089.4270833.4896
6515701478.81332.08146.71991.1979
6613201295.521328.75-33.229224.4792
6712101248.961327.5-78.5417-38.9583
6811901240.11323.75-83.6458-50.1042
6915801550.361322.5227.86529.6354
7011501215.311324.17-108.854-65.3125
7113301317.141320.42-3.2812512.8646
7214201434.321314.17120.156-14.3229
7312601224.481312.92-88.437535.5208
7410401155.831316.25-160.417-115.833
7514501373.911321.6752.239676.0938
7613601337.761328.339.4270822.2396
7715001478.391331.67146.71921.6146
7812401301.771335-33.2292-61.7708
7912601259.371337.92-78.54170.625
8012201254.691338.33-83.6458-34.6875
8116801566.21338.33227.865113.802
8212101227.41336.25-108.854-17.3958
8313501331.31334.58-3.2812518.6979
8414801451.821331.67120.15628.1771
8512701241.151329.58-88.437528.8542
8610401170.831331.25-160.417-130.833
8714501383.911331.6752.239666.0938
8813101340.261330.839.42708-30.2604
8915101475.051328.33146.71934.9479
9011601293.441326.67-33.2292-133.438
9112901250.211328.75-78.541739.7917
9212301247.61331.25-83.6458-17.6042
9316801556.611328.75227.865123.385
9411901217.41326.25-108.854-27.3958
9513101322.141325.42-3.28125-12.1354
9614801443.911323.75120.15636.0938
9713201233.231321.67-88.437586.7708
9810501160.831321.25-160.417-110.833
9913801374.741322.552.23965.26042
10013201330.261320.839.42708-10.2604
10114801465.891319.17146.71914.1146
10211501285.521318.75-33.2292-135.521
1031250NANA-78.5417NA
1041260NANA-83.6458NA
1051680NANA227.865NA
1061150NANA-108.854NA
1071310NANA-3.28125NA
1081470NANA120.156NA



Parameters (Session):
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')