Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationThu, 23 Nov 2017 14:03:54 +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/2017/Nov/23/t1511442383hq4tl04050to74p.htm/, Retrieved Sat, 18 May 2024 15:52:13 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=308192, Retrieved Sat, 18 May 2024 15:52:13 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact84
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [] [2017-11-23 13:03:54] [18e24160e6ab037d0bc3734a04ac82d7] [Current]
Feedback Forum

Post a new message
Dataseries X:
1028
869
2698
2367
1928
1846
1404
1316
1008
865
586
343
1143
1807
2380
2334
2116
1788
1571
1306
952
806
473
278
993
1038
2259
2283
1746
1515
1230
882
1028
704
390
238
594
692
2125
1849
1468
1531
1203
878
818
605
316
136
528
654
1892
1597
1515
1241
1026
758
733
481
280
117
651
611
1898
1385
1047
1007
842
827
711
443
313
202
473
566
1609
1296
1153
1155
859
798
557
402
223
153
548
647
1757
1326
1308
1175
992
808
758
551
310
146
649
602
1801
1481
1400
1319
1153
950
829
636
310
191
679
842
1975
1677
1418
1540
1173
941
989
614
352
405




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time3 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 time3 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=308192&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]3 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=308192&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=308192&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 time3 seconds
R ServerBig Analytics Cloud Computing Center







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
11028NANA-307.372NA
2869NANA-171.122NA
32698NANA968.146NA
42367NANA695.174NA
51928NANA468.864NA
61846NANA369.66NA
714041475.571359.62115.943-71.5675
813161325.961403.5-77.539-9.96103
910081229.821429.33-199.511-221.822
108651010.521414.71-404.192-145.517
11586767.8641421.17-653.303-181.864
12343621.8361426.58-804.747-278.836
1311431123.751431.12-307.37219.2473
1418071266.541437.67-171.122540.456
1523802403.061434.92968.146-23.0629
1623342125.31430.12695.174208.701
1721161891.821422.96468.864224.178
1817881785.21415.54369.662.79823
1915711522.531406.58115.94348.4742
2013061290.751368.29-77.53915.2473
219521131.71331.21-199.511-179.697
22806919.851324.04-404.192-113.85
23473653.1971306.5-653.303-180.197
24278474.9611279.71-804.747-196.961
25993946.7531254.12-307.37246.2473
2610381051.131222.25-171.122-13.1277
2722592175.91207.75968.14683.1038
2822831901.841206.67695.174381.159
2917461667.821198.96468.86478.1779
3015151563.491193.83369.66-48.4934
3112301291.481175.54115.943-61.4842
328821066.961144.5-77.539-184.961
331028924.9891124.5-199.511103.011
34704696.6421100.83-404.1927.35841
35390417.8641071.17-653.303-27.8638
36238255.5031060.25-804.747-17.5027
37594752.4191059.79-307.372-158.419
38692887.3781058.5-171.122-195.378
3921252017.731049.58968.146107.27
4018491731.881036.71695.174117.118
4114681498.361029.5468.864-30.3638
4215311391.831022.17369.66139.173
4312031131.111015.17115.94371.8908
44878933.2941010.83-77.539-55.2944
45818800.03999.542-199.51117.9695
46605575.142979.333-404.19229.8584
47316317.489970.792-653.303-1.48881
48136155.919960.667-804.747-19.9194
49528633.836941.208-307.372-105.836
50654757.711928.833-171.122-103.711
5118921888.44920.292968.1463.56211
5215971606.76911.583695.174-9.75733
5315151373.78904.917468.864141.22
5412411272.29902.625369.66-31.2851
5510261022.9906.958115.9433.09915
56758832.753910.292-77.539-74.7527
57733709.239908.75-199.51123.7612
58481495.975900.167-404.192-14.9749
59280218.53871.833-653.30361.4695
6011737.836842.583-804.74779.164
61651517.794825.167-307.372133.206
62611649.253820.375-171.122-38.2527
6318981790.48822.333968.146107.52
6413851515.01819.833695.174-130.007
6510471288.49819.625468.864-241.489
6610071194.2824.542369.66-187.202
67842936.609820.667115.943-94.6092
68827733.836811.375-77.53993.164
69711597.947797.458-199.511113.053
70443377.517781.708-404.19265.4834
71313129.114782.417-653.303183.886
72202-11.7473793-804.747213.747
73473492.503799.875-307.372-19.5027
74566628.253799.375-171.122-62.2527
7516091759.9791.75968.146-150.896
7612961478.8783.625695.174-182.799
7711531247.03778.167468.864-94.0305
7811551142.04772.375369.6612.9649
79859889.401773.458115.943-30.4008
80798702.419779.958-77.53995.5806
81557589.989789.5-199.511-32.9888
82402392.725796.917-404.1929.27508
83223151.322804.625-653.30371.6779
841537.16937811.917-804.747145.831
85548510.919818.292-307.37237.0806
86647653.128824.25-171.122-6.1277
8717571801.19833.042968.146-44.1879
8813261542.8847.625695.174-216.799
8913081326.32857.458468.864-18.3221
9011751230.45860.792369.66-55.4518
91992980.651864.708115.94311.3492
92808789.503867.042-77.53918.4973
93758667.489867-199.51190.5112
94551471.1875.292-404.19279.9001
95310232.28885.583-653.30377.7195
9614690.6694895.417-804.74755.3306
97649600.753908.125-307.37248.2473
98602749.628920.75-171.122-147.628
9918011897.77929.625968.146-96.7712
10014811631.3936.125695.174-150.299
10114001408.53939.667468.864-8.53048
10213191311.2941.542369.667.79823
10311531060.61944.667115.94392.3908
104950878.378955.917-77.53971.6223
105829773.655973.167-199.51155.3445
106636584.392988.583-404.19251.6084
107310344.197997.5-653.303-34.1971
108191202.7111007.46-804.747-11.711
109679710.1281017.5-307.372-31.1277
110842846.8361017.96-171.122-4.83603
11119751992.41024.25968.146-17.3962
11216771725.171030695.174-48.174
11314181499.71030.83468.864-81.6971
11415401411.161041.5369.66128.84
1151173NANA115.943NA
116941NANA-77.539NA
117989NANA-199.511NA
118614NANA-404.192NA
119352NANA-653.303NA
120405NANA-804.747NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 1028 & NA & NA & -307.372 & NA \tabularnewline
2 & 869 & NA & NA & -171.122 & NA \tabularnewline
3 & 2698 & NA & NA & 968.146 & NA \tabularnewline
4 & 2367 & NA & NA & 695.174 & NA \tabularnewline
5 & 1928 & NA & NA & 468.864 & NA \tabularnewline
6 & 1846 & NA & NA & 369.66 & NA \tabularnewline
7 & 1404 & 1475.57 & 1359.62 & 115.943 & -71.5675 \tabularnewline
8 & 1316 & 1325.96 & 1403.5 & -77.539 & -9.96103 \tabularnewline
9 & 1008 & 1229.82 & 1429.33 & -199.511 & -221.822 \tabularnewline
10 & 865 & 1010.52 & 1414.71 & -404.192 & -145.517 \tabularnewline
11 & 586 & 767.864 & 1421.17 & -653.303 & -181.864 \tabularnewline
12 & 343 & 621.836 & 1426.58 & -804.747 & -278.836 \tabularnewline
13 & 1143 & 1123.75 & 1431.12 & -307.372 & 19.2473 \tabularnewline
14 & 1807 & 1266.54 & 1437.67 & -171.122 & 540.456 \tabularnewline
15 & 2380 & 2403.06 & 1434.92 & 968.146 & -23.0629 \tabularnewline
16 & 2334 & 2125.3 & 1430.12 & 695.174 & 208.701 \tabularnewline
17 & 2116 & 1891.82 & 1422.96 & 468.864 & 224.178 \tabularnewline
18 & 1788 & 1785.2 & 1415.54 & 369.66 & 2.79823 \tabularnewline
19 & 1571 & 1522.53 & 1406.58 & 115.943 & 48.4742 \tabularnewline
20 & 1306 & 1290.75 & 1368.29 & -77.539 & 15.2473 \tabularnewline
21 & 952 & 1131.7 & 1331.21 & -199.511 & -179.697 \tabularnewline
22 & 806 & 919.85 & 1324.04 & -404.192 & -113.85 \tabularnewline
23 & 473 & 653.197 & 1306.5 & -653.303 & -180.197 \tabularnewline
24 & 278 & 474.961 & 1279.71 & -804.747 & -196.961 \tabularnewline
25 & 993 & 946.753 & 1254.12 & -307.372 & 46.2473 \tabularnewline
26 & 1038 & 1051.13 & 1222.25 & -171.122 & -13.1277 \tabularnewline
27 & 2259 & 2175.9 & 1207.75 & 968.146 & 83.1038 \tabularnewline
28 & 2283 & 1901.84 & 1206.67 & 695.174 & 381.159 \tabularnewline
29 & 1746 & 1667.82 & 1198.96 & 468.864 & 78.1779 \tabularnewline
30 & 1515 & 1563.49 & 1193.83 & 369.66 & -48.4934 \tabularnewline
31 & 1230 & 1291.48 & 1175.54 & 115.943 & -61.4842 \tabularnewline
32 & 882 & 1066.96 & 1144.5 & -77.539 & -184.961 \tabularnewline
33 & 1028 & 924.989 & 1124.5 & -199.511 & 103.011 \tabularnewline
34 & 704 & 696.642 & 1100.83 & -404.192 & 7.35841 \tabularnewline
35 & 390 & 417.864 & 1071.17 & -653.303 & -27.8638 \tabularnewline
36 & 238 & 255.503 & 1060.25 & -804.747 & -17.5027 \tabularnewline
37 & 594 & 752.419 & 1059.79 & -307.372 & -158.419 \tabularnewline
38 & 692 & 887.378 & 1058.5 & -171.122 & -195.378 \tabularnewline
39 & 2125 & 2017.73 & 1049.58 & 968.146 & 107.27 \tabularnewline
40 & 1849 & 1731.88 & 1036.71 & 695.174 & 117.118 \tabularnewline
41 & 1468 & 1498.36 & 1029.5 & 468.864 & -30.3638 \tabularnewline
42 & 1531 & 1391.83 & 1022.17 & 369.66 & 139.173 \tabularnewline
43 & 1203 & 1131.11 & 1015.17 & 115.943 & 71.8908 \tabularnewline
44 & 878 & 933.294 & 1010.83 & -77.539 & -55.2944 \tabularnewline
45 & 818 & 800.03 & 999.542 & -199.511 & 17.9695 \tabularnewline
46 & 605 & 575.142 & 979.333 & -404.192 & 29.8584 \tabularnewline
47 & 316 & 317.489 & 970.792 & -653.303 & -1.48881 \tabularnewline
48 & 136 & 155.919 & 960.667 & -804.747 & -19.9194 \tabularnewline
49 & 528 & 633.836 & 941.208 & -307.372 & -105.836 \tabularnewline
50 & 654 & 757.711 & 928.833 & -171.122 & -103.711 \tabularnewline
51 & 1892 & 1888.44 & 920.292 & 968.146 & 3.56211 \tabularnewline
52 & 1597 & 1606.76 & 911.583 & 695.174 & -9.75733 \tabularnewline
53 & 1515 & 1373.78 & 904.917 & 468.864 & 141.22 \tabularnewline
54 & 1241 & 1272.29 & 902.625 & 369.66 & -31.2851 \tabularnewline
55 & 1026 & 1022.9 & 906.958 & 115.943 & 3.09915 \tabularnewline
56 & 758 & 832.753 & 910.292 & -77.539 & -74.7527 \tabularnewline
57 & 733 & 709.239 & 908.75 & -199.511 & 23.7612 \tabularnewline
58 & 481 & 495.975 & 900.167 & -404.192 & -14.9749 \tabularnewline
59 & 280 & 218.53 & 871.833 & -653.303 & 61.4695 \tabularnewline
60 & 117 & 37.836 & 842.583 & -804.747 & 79.164 \tabularnewline
61 & 651 & 517.794 & 825.167 & -307.372 & 133.206 \tabularnewline
62 & 611 & 649.253 & 820.375 & -171.122 & -38.2527 \tabularnewline
63 & 1898 & 1790.48 & 822.333 & 968.146 & 107.52 \tabularnewline
64 & 1385 & 1515.01 & 819.833 & 695.174 & -130.007 \tabularnewline
65 & 1047 & 1288.49 & 819.625 & 468.864 & -241.489 \tabularnewline
66 & 1007 & 1194.2 & 824.542 & 369.66 & -187.202 \tabularnewline
67 & 842 & 936.609 & 820.667 & 115.943 & -94.6092 \tabularnewline
68 & 827 & 733.836 & 811.375 & -77.539 & 93.164 \tabularnewline
69 & 711 & 597.947 & 797.458 & -199.511 & 113.053 \tabularnewline
70 & 443 & 377.517 & 781.708 & -404.192 & 65.4834 \tabularnewline
71 & 313 & 129.114 & 782.417 & -653.303 & 183.886 \tabularnewline
72 & 202 & -11.7473 & 793 & -804.747 & 213.747 \tabularnewline
73 & 473 & 492.503 & 799.875 & -307.372 & -19.5027 \tabularnewline
74 & 566 & 628.253 & 799.375 & -171.122 & -62.2527 \tabularnewline
75 & 1609 & 1759.9 & 791.75 & 968.146 & -150.896 \tabularnewline
76 & 1296 & 1478.8 & 783.625 & 695.174 & -182.799 \tabularnewline
77 & 1153 & 1247.03 & 778.167 & 468.864 & -94.0305 \tabularnewline
78 & 1155 & 1142.04 & 772.375 & 369.66 & 12.9649 \tabularnewline
79 & 859 & 889.401 & 773.458 & 115.943 & -30.4008 \tabularnewline
80 & 798 & 702.419 & 779.958 & -77.539 & 95.5806 \tabularnewline
81 & 557 & 589.989 & 789.5 & -199.511 & -32.9888 \tabularnewline
82 & 402 & 392.725 & 796.917 & -404.192 & 9.27508 \tabularnewline
83 & 223 & 151.322 & 804.625 & -653.303 & 71.6779 \tabularnewline
84 & 153 & 7.16937 & 811.917 & -804.747 & 145.831 \tabularnewline
85 & 548 & 510.919 & 818.292 & -307.372 & 37.0806 \tabularnewline
86 & 647 & 653.128 & 824.25 & -171.122 & -6.1277 \tabularnewline
87 & 1757 & 1801.19 & 833.042 & 968.146 & -44.1879 \tabularnewline
88 & 1326 & 1542.8 & 847.625 & 695.174 & -216.799 \tabularnewline
89 & 1308 & 1326.32 & 857.458 & 468.864 & -18.3221 \tabularnewline
90 & 1175 & 1230.45 & 860.792 & 369.66 & -55.4518 \tabularnewline
91 & 992 & 980.651 & 864.708 & 115.943 & 11.3492 \tabularnewline
92 & 808 & 789.503 & 867.042 & -77.539 & 18.4973 \tabularnewline
93 & 758 & 667.489 & 867 & -199.511 & 90.5112 \tabularnewline
94 & 551 & 471.1 & 875.292 & -404.192 & 79.9001 \tabularnewline
95 & 310 & 232.28 & 885.583 & -653.303 & 77.7195 \tabularnewline
96 & 146 & 90.6694 & 895.417 & -804.747 & 55.3306 \tabularnewline
97 & 649 & 600.753 & 908.125 & -307.372 & 48.2473 \tabularnewline
98 & 602 & 749.628 & 920.75 & -171.122 & -147.628 \tabularnewline
99 & 1801 & 1897.77 & 929.625 & 968.146 & -96.7712 \tabularnewline
100 & 1481 & 1631.3 & 936.125 & 695.174 & -150.299 \tabularnewline
101 & 1400 & 1408.53 & 939.667 & 468.864 & -8.53048 \tabularnewline
102 & 1319 & 1311.2 & 941.542 & 369.66 & 7.79823 \tabularnewline
103 & 1153 & 1060.61 & 944.667 & 115.943 & 92.3908 \tabularnewline
104 & 950 & 878.378 & 955.917 & -77.539 & 71.6223 \tabularnewline
105 & 829 & 773.655 & 973.167 & -199.511 & 55.3445 \tabularnewline
106 & 636 & 584.392 & 988.583 & -404.192 & 51.6084 \tabularnewline
107 & 310 & 344.197 & 997.5 & -653.303 & -34.1971 \tabularnewline
108 & 191 & 202.711 & 1007.46 & -804.747 & -11.711 \tabularnewline
109 & 679 & 710.128 & 1017.5 & -307.372 & -31.1277 \tabularnewline
110 & 842 & 846.836 & 1017.96 & -171.122 & -4.83603 \tabularnewline
111 & 1975 & 1992.4 & 1024.25 & 968.146 & -17.3962 \tabularnewline
112 & 1677 & 1725.17 & 1030 & 695.174 & -48.174 \tabularnewline
113 & 1418 & 1499.7 & 1030.83 & 468.864 & -81.6971 \tabularnewline
114 & 1540 & 1411.16 & 1041.5 & 369.66 & 128.84 \tabularnewline
115 & 1173 & NA & NA & 115.943 & NA \tabularnewline
116 & 941 & NA & NA & -77.539 & NA \tabularnewline
117 & 989 & NA & NA & -199.511 & NA \tabularnewline
118 & 614 & NA & NA & -404.192 & NA \tabularnewline
119 & 352 & NA & NA & -653.303 & NA \tabularnewline
120 & 405 & NA & NA & -804.747 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=308192&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]1028[/C][C]NA[/C][C]NA[/C][C]-307.372[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]869[/C][C]NA[/C][C]NA[/C][C]-171.122[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]2698[/C][C]NA[/C][C]NA[/C][C]968.146[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]2367[/C][C]NA[/C][C]NA[/C][C]695.174[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]1928[/C][C]NA[/C][C]NA[/C][C]468.864[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]1846[/C][C]NA[/C][C]NA[/C][C]369.66[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]1404[/C][C]1475.57[/C][C]1359.62[/C][C]115.943[/C][C]-71.5675[/C][/ROW]
[ROW][C]8[/C][C]1316[/C][C]1325.96[/C][C]1403.5[/C][C]-77.539[/C][C]-9.96103[/C][/ROW]
[ROW][C]9[/C][C]1008[/C][C]1229.82[/C][C]1429.33[/C][C]-199.511[/C][C]-221.822[/C][/ROW]
[ROW][C]10[/C][C]865[/C][C]1010.52[/C][C]1414.71[/C][C]-404.192[/C][C]-145.517[/C][/ROW]
[ROW][C]11[/C][C]586[/C][C]767.864[/C][C]1421.17[/C][C]-653.303[/C][C]-181.864[/C][/ROW]
[ROW][C]12[/C][C]343[/C][C]621.836[/C][C]1426.58[/C][C]-804.747[/C][C]-278.836[/C][/ROW]
[ROW][C]13[/C][C]1143[/C][C]1123.75[/C][C]1431.12[/C][C]-307.372[/C][C]19.2473[/C][/ROW]
[ROW][C]14[/C][C]1807[/C][C]1266.54[/C][C]1437.67[/C][C]-171.122[/C][C]540.456[/C][/ROW]
[ROW][C]15[/C][C]2380[/C][C]2403.06[/C][C]1434.92[/C][C]968.146[/C][C]-23.0629[/C][/ROW]
[ROW][C]16[/C][C]2334[/C][C]2125.3[/C][C]1430.12[/C][C]695.174[/C][C]208.701[/C][/ROW]
[ROW][C]17[/C][C]2116[/C][C]1891.82[/C][C]1422.96[/C][C]468.864[/C][C]224.178[/C][/ROW]
[ROW][C]18[/C][C]1788[/C][C]1785.2[/C][C]1415.54[/C][C]369.66[/C][C]2.79823[/C][/ROW]
[ROW][C]19[/C][C]1571[/C][C]1522.53[/C][C]1406.58[/C][C]115.943[/C][C]48.4742[/C][/ROW]
[ROW][C]20[/C][C]1306[/C][C]1290.75[/C][C]1368.29[/C][C]-77.539[/C][C]15.2473[/C][/ROW]
[ROW][C]21[/C][C]952[/C][C]1131.7[/C][C]1331.21[/C][C]-199.511[/C][C]-179.697[/C][/ROW]
[ROW][C]22[/C][C]806[/C][C]919.85[/C][C]1324.04[/C][C]-404.192[/C][C]-113.85[/C][/ROW]
[ROW][C]23[/C][C]473[/C][C]653.197[/C][C]1306.5[/C][C]-653.303[/C][C]-180.197[/C][/ROW]
[ROW][C]24[/C][C]278[/C][C]474.961[/C][C]1279.71[/C][C]-804.747[/C][C]-196.961[/C][/ROW]
[ROW][C]25[/C][C]993[/C][C]946.753[/C][C]1254.12[/C][C]-307.372[/C][C]46.2473[/C][/ROW]
[ROW][C]26[/C][C]1038[/C][C]1051.13[/C][C]1222.25[/C][C]-171.122[/C][C]-13.1277[/C][/ROW]
[ROW][C]27[/C][C]2259[/C][C]2175.9[/C][C]1207.75[/C][C]968.146[/C][C]83.1038[/C][/ROW]
[ROW][C]28[/C][C]2283[/C][C]1901.84[/C][C]1206.67[/C][C]695.174[/C][C]381.159[/C][/ROW]
[ROW][C]29[/C][C]1746[/C][C]1667.82[/C][C]1198.96[/C][C]468.864[/C][C]78.1779[/C][/ROW]
[ROW][C]30[/C][C]1515[/C][C]1563.49[/C][C]1193.83[/C][C]369.66[/C][C]-48.4934[/C][/ROW]
[ROW][C]31[/C][C]1230[/C][C]1291.48[/C][C]1175.54[/C][C]115.943[/C][C]-61.4842[/C][/ROW]
[ROW][C]32[/C][C]882[/C][C]1066.96[/C][C]1144.5[/C][C]-77.539[/C][C]-184.961[/C][/ROW]
[ROW][C]33[/C][C]1028[/C][C]924.989[/C][C]1124.5[/C][C]-199.511[/C][C]103.011[/C][/ROW]
[ROW][C]34[/C][C]704[/C][C]696.642[/C][C]1100.83[/C][C]-404.192[/C][C]7.35841[/C][/ROW]
[ROW][C]35[/C][C]390[/C][C]417.864[/C][C]1071.17[/C][C]-653.303[/C][C]-27.8638[/C][/ROW]
[ROW][C]36[/C][C]238[/C][C]255.503[/C][C]1060.25[/C][C]-804.747[/C][C]-17.5027[/C][/ROW]
[ROW][C]37[/C][C]594[/C][C]752.419[/C][C]1059.79[/C][C]-307.372[/C][C]-158.419[/C][/ROW]
[ROW][C]38[/C][C]692[/C][C]887.378[/C][C]1058.5[/C][C]-171.122[/C][C]-195.378[/C][/ROW]
[ROW][C]39[/C][C]2125[/C][C]2017.73[/C][C]1049.58[/C][C]968.146[/C][C]107.27[/C][/ROW]
[ROW][C]40[/C][C]1849[/C][C]1731.88[/C][C]1036.71[/C][C]695.174[/C][C]117.118[/C][/ROW]
[ROW][C]41[/C][C]1468[/C][C]1498.36[/C][C]1029.5[/C][C]468.864[/C][C]-30.3638[/C][/ROW]
[ROW][C]42[/C][C]1531[/C][C]1391.83[/C][C]1022.17[/C][C]369.66[/C][C]139.173[/C][/ROW]
[ROW][C]43[/C][C]1203[/C][C]1131.11[/C][C]1015.17[/C][C]115.943[/C][C]71.8908[/C][/ROW]
[ROW][C]44[/C][C]878[/C][C]933.294[/C][C]1010.83[/C][C]-77.539[/C][C]-55.2944[/C][/ROW]
[ROW][C]45[/C][C]818[/C][C]800.03[/C][C]999.542[/C][C]-199.511[/C][C]17.9695[/C][/ROW]
[ROW][C]46[/C][C]605[/C][C]575.142[/C][C]979.333[/C][C]-404.192[/C][C]29.8584[/C][/ROW]
[ROW][C]47[/C][C]316[/C][C]317.489[/C][C]970.792[/C][C]-653.303[/C][C]-1.48881[/C][/ROW]
[ROW][C]48[/C][C]136[/C][C]155.919[/C][C]960.667[/C][C]-804.747[/C][C]-19.9194[/C][/ROW]
[ROW][C]49[/C][C]528[/C][C]633.836[/C][C]941.208[/C][C]-307.372[/C][C]-105.836[/C][/ROW]
[ROW][C]50[/C][C]654[/C][C]757.711[/C][C]928.833[/C][C]-171.122[/C][C]-103.711[/C][/ROW]
[ROW][C]51[/C][C]1892[/C][C]1888.44[/C][C]920.292[/C][C]968.146[/C][C]3.56211[/C][/ROW]
[ROW][C]52[/C][C]1597[/C][C]1606.76[/C][C]911.583[/C][C]695.174[/C][C]-9.75733[/C][/ROW]
[ROW][C]53[/C][C]1515[/C][C]1373.78[/C][C]904.917[/C][C]468.864[/C][C]141.22[/C][/ROW]
[ROW][C]54[/C][C]1241[/C][C]1272.29[/C][C]902.625[/C][C]369.66[/C][C]-31.2851[/C][/ROW]
[ROW][C]55[/C][C]1026[/C][C]1022.9[/C][C]906.958[/C][C]115.943[/C][C]3.09915[/C][/ROW]
[ROW][C]56[/C][C]758[/C][C]832.753[/C][C]910.292[/C][C]-77.539[/C][C]-74.7527[/C][/ROW]
[ROW][C]57[/C][C]733[/C][C]709.239[/C][C]908.75[/C][C]-199.511[/C][C]23.7612[/C][/ROW]
[ROW][C]58[/C][C]481[/C][C]495.975[/C][C]900.167[/C][C]-404.192[/C][C]-14.9749[/C][/ROW]
[ROW][C]59[/C][C]280[/C][C]218.53[/C][C]871.833[/C][C]-653.303[/C][C]61.4695[/C][/ROW]
[ROW][C]60[/C][C]117[/C][C]37.836[/C][C]842.583[/C][C]-804.747[/C][C]79.164[/C][/ROW]
[ROW][C]61[/C][C]651[/C][C]517.794[/C][C]825.167[/C][C]-307.372[/C][C]133.206[/C][/ROW]
[ROW][C]62[/C][C]611[/C][C]649.253[/C][C]820.375[/C][C]-171.122[/C][C]-38.2527[/C][/ROW]
[ROW][C]63[/C][C]1898[/C][C]1790.48[/C][C]822.333[/C][C]968.146[/C][C]107.52[/C][/ROW]
[ROW][C]64[/C][C]1385[/C][C]1515.01[/C][C]819.833[/C][C]695.174[/C][C]-130.007[/C][/ROW]
[ROW][C]65[/C][C]1047[/C][C]1288.49[/C][C]819.625[/C][C]468.864[/C][C]-241.489[/C][/ROW]
[ROW][C]66[/C][C]1007[/C][C]1194.2[/C][C]824.542[/C][C]369.66[/C][C]-187.202[/C][/ROW]
[ROW][C]67[/C][C]842[/C][C]936.609[/C][C]820.667[/C][C]115.943[/C][C]-94.6092[/C][/ROW]
[ROW][C]68[/C][C]827[/C][C]733.836[/C][C]811.375[/C][C]-77.539[/C][C]93.164[/C][/ROW]
[ROW][C]69[/C][C]711[/C][C]597.947[/C][C]797.458[/C][C]-199.511[/C][C]113.053[/C][/ROW]
[ROW][C]70[/C][C]443[/C][C]377.517[/C][C]781.708[/C][C]-404.192[/C][C]65.4834[/C][/ROW]
[ROW][C]71[/C][C]313[/C][C]129.114[/C][C]782.417[/C][C]-653.303[/C][C]183.886[/C][/ROW]
[ROW][C]72[/C][C]202[/C][C]-11.7473[/C][C]793[/C][C]-804.747[/C][C]213.747[/C][/ROW]
[ROW][C]73[/C][C]473[/C][C]492.503[/C][C]799.875[/C][C]-307.372[/C][C]-19.5027[/C][/ROW]
[ROW][C]74[/C][C]566[/C][C]628.253[/C][C]799.375[/C][C]-171.122[/C][C]-62.2527[/C][/ROW]
[ROW][C]75[/C][C]1609[/C][C]1759.9[/C][C]791.75[/C][C]968.146[/C][C]-150.896[/C][/ROW]
[ROW][C]76[/C][C]1296[/C][C]1478.8[/C][C]783.625[/C][C]695.174[/C][C]-182.799[/C][/ROW]
[ROW][C]77[/C][C]1153[/C][C]1247.03[/C][C]778.167[/C][C]468.864[/C][C]-94.0305[/C][/ROW]
[ROW][C]78[/C][C]1155[/C][C]1142.04[/C][C]772.375[/C][C]369.66[/C][C]12.9649[/C][/ROW]
[ROW][C]79[/C][C]859[/C][C]889.401[/C][C]773.458[/C][C]115.943[/C][C]-30.4008[/C][/ROW]
[ROW][C]80[/C][C]798[/C][C]702.419[/C][C]779.958[/C][C]-77.539[/C][C]95.5806[/C][/ROW]
[ROW][C]81[/C][C]557[/C][C]589.989[/C][C]789.5[/C][C]-199.511[/C][C]-32.9888[/C][/ROW]
[ROW][C]82[/C][C]402[/C][C]392.725[/C][C]796.917[/C][C]-404.192[/C][C]9.27508[/C][/ROW]
[ROW][C]83[/C][C]223[/C][C]151.322[/C][C]804.625[/C][C]-653.303[/C][C]71.6779[/C][/ROW]
[ROW][C]84[/C][C]153[/C][C]7.16937[/C][C]811.917[/C][C]-804.747[/C][C]145.831[/C][/ROW]
[ROW][C]85[/C][C]548[/C][C]510.919[/C][C]818.292[/C][C]-307.372[/C][C]37.0806[/C][/ROW]
[ROW][C]86[/C][C]647[/C][C]653.128[/C][C]824.25[/C][C]-171.122[/C][C]-6.1277[/C][/ROW]
[ROW][C]87[/C][C]1757[/C][C]1801.19[/C][C]833.042[/C][C]968.146[/C][C]-44.1879[/C][/ROW]
[ROW][C]88[/C][C]1326[/C][C]1542.8[/C][C]847.625[/C][C]695.174[/C][C]-216.799[/C][/ROW]
[ROW][C]89[/C][C]1308[/C][C]1326.32[/C][C]857.458[/C][C]468.864[/C][C]-18.3221[/C][/ROW]
[ROW][C]90[/C][C]1175[/C][C]1230.45[/C][C]860.792[/C][C]369.66[/C][C]-55.4518[/C][/ROW]
[ROW][C]91[/C][C]992[/C][C]980.651[/C][C]864.708[/C][C]115.943[/C][C]11.3492[/C][/ROW]
[ROW][C]92[/C][C]808[/C][C]789.503[/C][C]867.042[/C][C]-77.539[/C][C]18.4973[/C][/ROW]
[ROW][C]93[/C][C]758[/C][C]667.489[/C][C]867[/C][C]-199.511[/C][C]90.5112[/C][/ROW]
[ROW][C]94[/C][C]551[/C][C]471.1[/C][C]875.292[/C][C]-404.192[/C][C]79.9001[/C][/ROW]
[ROW][C]95[/C][C]310[/C][C]232.28[/C][C]885.583[/C][C]-653.303[/C][C]77.7195[/C][/ROW]
[ROW][C]96[/C][C]146[/C][C]90.6694[/C][C]895.417[/C][C]-804.747[/C][C]55.3306[/C][/ROW]
[ROW][C]97[/C][C]649[/C][C]600.753[/C][C]908.125[/C][C]-307.372[/C][C]48.2473[/C][/ROW]
[ROW][C]98[/C][C]602[/C][C]749.628[/C][C]920.75[/C][C]-171.122[/C][C]-147.628[/C][/ROW]
[ROW][C]99[/C][C]1801[/C][C]1897.77[/C][C]929.625[/C][C]968.146[/C][C]-96.7712[/C][/ROW]
[ROW][C]100[/C][C]1481[/C][C]1631.3[/C][C]936.125[/C][C]695.174[/C][C]-150.299[/C][/ROW]
[ROW][C]101[/C][C]1400[/C][C]1408.53[/C][C]939.667[/C][C]468.864[/C][C]-8.53048[/C][/ROW]
[ROW][C]102[/C][C]1319[/C][C]1311.2[/C][C]941.542[/C][C]369.66[/C][C]7.79823[/C][/ROW]
[ROW][C]103[/C][C]1153[/C][C]1060.61[/C][C]944.667[/C][C]115.943[/C][C]92.3908[/C][/ROW]
[ROW][C]104[/C][C]950[/C][C]878.378[/C][C]955.917[/C][C]-77.539[/C][C]71.6223[/C][/ROW]
[ROW][C]105[/C][C]829[/C][C]773.655[/C][C]973.167[/C][C]-199.511[/C][C]55.3445[/C][/ROW]
[ROW][C]106[/C][C]636[/C][C]584.392[/C][C]988.583[/C][C]-404.192[/C][C]51.6084[/C][/ROW]
[ROW][C]107[/C][C]310[/C][C]344.197[/C][C]997.5[/C][C]-653.303[/C][C]-34.1971[/C][/ROW]
[ROW][C]108[/C][C]191[/C][C]202.711[/C][C]1007.46[/C][C]-804.747[/C][C]-11.711[/C][/ROW]
[ROW][C]109[/C][C]679[/C][C]710.128[/C][C]1017.5[/C][C]-307.372[/C][C]-31.1277[/C][/ROW]
[ROW][C]110[/C][C]842[/C][C]846.836[/C][C]1017.96[/C][C]-171.122[/C][C]-4.83603[/C][/ROW]
[ROW][C]111[/C][C]1975[/C][C]1992.4[/C][C]1024.25[/C][C]968.146[/C][C]-17.3962[/C][/ROW]
[ROW][C]112[/C][C]1677[/C][C]1725.17[/C][C]1030[/C][C]695.174[/C][C]-48.174[/C][/ROW]
[ROW][C]113[/C][C]1418[/C][C]1499.7[/C][C]1030.83[/C][C]468.864[/C][C]-81.6971[/C][/ROW]
[ROW][C]114[/C][C]1540[/C][C]1411.16[/C][C]1041.5[/C][C]369.66[/C][C]128.84[/C][/ROW]
[ROW][C]115[/C][C]1173[/C][C]NA[/C][C]NA[/C][C]115.943[/C][C]NA[/C][/ROW]
[ROW][C]116[/C][C]941[/C][C]NA[/C][C]NA[/C][C]-77.539[/C][C]NA[/C][/ROW]
[ROW][C]117[/C][C]989[/C][C]NA[/C][C]NA[/C][C]-199.511[/C][C]NA[/C][/ROW]
[ROW][C]118[/C][C]614[/C][C]NA[/C][C]NA[/C][C]-404.192[/C][C]NA[/C][/ROW]
[ROW][C]119[/C][C]352[/C][C]NA[/C][C]NA[/C][C]-653.303[/C][C]NA[/C][/ROW]
[ROW][C]120[/C][C]405[/C][C]NA[/C][C]NA[/C][C]-804.747[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=308192&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=308192&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
11028NANA-307.372NA
2869NANA-171.122NA
32698NANA968.146NA
42367NANA695.174NA
51928NANA468.864NA
61846NANA369.66NA
714041475.571359.62115.943-71.5675
813161325.961403.5-77.539-9.96103
910081229.821429.33-199.511-221.822
108651010.521414.71-404.192-145.517
11586767.8641421.17-653.303-181.864
12343621.8361426.58-804.747-278.836
1311431123.751431.12-307.37219.2473
1418071266.541437.67-171.122540.456
1523802403.061434.92968.146-23.0629
1623342125.31430.12695.174208.701
1721161891.821422.96468.864224.178
1817881785.21415.54369.662.79823
1915711522.531406.58115.94348.4742
2013061290.751368.29-77.53915.2473
219521131.71331.21-199.511-179.697
22806919.851324.04-404.192-113.85
23473653.1971306.5-653.303-180.197
24278474.9611279.71-804.747-196.961
25993946.7531254.12-307.37246.2473
2610381051.131222.25-171.122-13.1277
2722592175.91207.75968.14683.1038
2822831901.841206.67695.174381.159
2917461667.821198.96468.86478.1779
3015151563.491193.83369.66-48.4934
3112301291.481175.54115.943-61.4842
328821066.961144.5-77.539-184.961
331028924.9891124.5-199.511103.011
34704696.6421100.83-404.1927.35841
35390417.8641071.17-653.303-27.8638
36238255.5031060.25-804.747-17.5027
37594752.4191059.79-307.372-158.419
38692887.3781058.5-171.122-195.378
3921252017.731049.58968.146107.27
4018491731.881036.71695.174117.118
4114681498.361029.5468.864-30.3638
4215311391.831022.17369.66139.173
4312031131.111015.17115.94371.8908
44878933.2941010.83-77.539-55.2944
45818800.03999.542-199.51117.9695
46605575.142979.333-404.19229.8584
47316317.489970.792-653.303-1.48881
48136155.919960.667-804.747-19.9194
49528633.836941.208-307.372-105.836
50654757.711928.833-171.122-103.711
5118921888.44920.292968.1463.56211
5215971606.76911.583695.174-9.75733
5315151373.78904.917468.864141.22
5412411272.29902.625369.66-31.2851
5510261022.9906.958115.9433.09915
56758832.753910.292-77.539-74.7527
57733709.239908.75-199.51123.7612
58481495.975900.167-404.192-14.9749
59280218.53871.833-653.30361.4695
6011737.836842.583-804.74779.164
61651517.794825.167-307.372133.206
62611649.253820.375-171.122-38.2527
6318981790.48822.333968.146107.52
6413851515.01819.833695.174-130.007
6510471288.49819.625468.864-241.489
6610071194.2824.542369.66-187.202
67842936.609820.667115.943-94.6092
68827733.836811.375-77.53993.164
69711597.947797.458-199.511113.053
70443377.517781.708-404.19265.4834
71313129.114782.417-653.303183.886
72202-11.7473793-804.747213.747
73473492.503799.875-307.372-19.5027
74566628.253799.375-171.122-62.2527
7516091759.9791.75968.146-150.896
7612961478.8783.625695.174-182.799
7711531247.03778.167468.864-94.0305
7811551142.04772.375369.6612.9649
79859889.401773.458115.943-30.4008
80798702.419779.958-77.53995.5806
81557589.989789.5-199.511-32.9888
82402392.725796.917-404.1929.27508
83223151.322804.625-653.30371.6779
841537.16937811.917-804.747145.831
85548510.919818.292-307.37237.0806
86647653.128824.25-171.122-6.1277
8717571801.19833.042968.146-44.1879
8813261542.8847.625695.174-216.799
8913081326.32857.458468.864-18.3221
9011751230.45860.792369.66-55.4518
91992980.651864.708115.94311.3492
92808789.503867.042-77.53918.4973
93758667.489867-199.51190.5112
94551471.1875.292-404.19279.9001
95310232.28885.583-653.30377.7195
9614690.6694895.417-804.74755.3306
97649600.753908.125-307.37248.2473
98602749.628920.75-171.122-147.628
9918011897.77929.625968.146-96.7712
10014811631.3936.125695.174-150.299
10114001408.53939.667468.864-8.53048
10213191311.2941.542369.667.79823
10311531060.61944.667115.94392.3908
104950878.378955.917-77.53971.6223
105829773.655973.167-199.51155.3445
106636584.392988.583-404.19251.6084
107310344.197997.5-653.303-34.1971
108191202.7111007.46-804.747-11.711
109679710.1281017.5-307.372-31.1277
110842846.8361017.96-171.122-4.83603
11119751992.41024.25968.146-17.3962
11216771725.171030695.174-48.174
11314181499.71030.83468.864-81.6971
11415401411.161041.5369.66128.84
1151173NANA115.943NA
116941NANA-77.539NA
117989NANA-199.511NA
118614NANA-404.192NA
119352NANA-653.303NA
120405NANA-804.747NA



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')