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Author*The author of this computation has been verified*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationThu, 15 Dec 2016 20:33:09 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2016/Dec/15/t1481830459bllmhkzm5botmhi.htm/, Retrieved Fri, 03 May 2024 05:46:12 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=299978, Retrieved Fri, 03 May 2024 05:46:12 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact62
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [N1993 Classical D...] [2016-12-15 19:33:09] [1eb03b74c4069f30e782d39ada1a3213] [Current]
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Dataseries X:
6970
6455
8005
8115
8180
7930
7275
7865
7610
7435
8480
8850
8345
8275
8595
8430
8395
7735
7890
8435
7620
7610
8005
8935
8320
7670
8660
8485
8160
7910
7725
7555
7685
7740
7455
7850
6930
6600
7290
7625
7755
6915
6145
5985
6100
5955
5800
5905
5705
5430
6435
6025
5815
5160
4985
5585
5790
6190
6300
6340
6610
6685
7450
7410
7255
6460
6035
6745
6655
7070
7415
7720
7815
7260
7925
7825
7805
7530
7015
6575
6640
7075
6405
6720
6385
6085
6475
6555
6500
5790
5195
5680
5745
6010
5705
6310
6870
6260
7210
7090
7055
6535
6320
6010
6165
6985
6760
7220
6995
6475
7225
7325
7515
6925
7165
6895
6400
6685
6955
7550
7645
6710
7470
7355
7525
7165




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=299978&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=299978&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=299978&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
16970NANA113.832NA
26455NANA-240.613NA
38005NANA494.48NA
48115NANA448.554NA
58180NANA401.864NA
67930NANA-173.391NA
772757370.397821.46-451.069-95.3895
878657657.647954.58-296.944207.361
976107667.228055-387.777-57.2228
1074357944.838092.71-147.881-509.827
1184808025.318114.79-89.4855454.694
1288508444.068115.63328.431405.944
1383458246.968133.13113.83298.0434
1482757941.898182.5-240.613333.113
1585958701.158206.67494.48-106.146
1684308662.938214.38448.554-232.929
1783958603.748201.88401.864-208.739
1877358012.238185.62-173.391-277.234
1978907737.068188.12-451.069152.944
2084357864.938161.87-296.944570.069
2176207751.68139.37-387.777-131.598
2276107996.498144.37-147.881-386.494
2380058047.398136.88-89.4855-42.3895
2489358462.818134.38328.431472.194
2583208248.628134.79113.83271.3767
2676707850.648091.25-240.613-180.637
2786608551.778057.29494.48108.229
2884858513.978065.42448.554-28.9705
2981608449.788047.92401.864-289.781
3079107806.47979.79-173.391103.599
3177257425.67876.67-451.069299.402
3275557477.227774.17-296.94477.7772
3376857284.727672.5-387.777400.277
3477407431.77579.58-147.881308.298
3574557437.397526.88-89.485517.6105
3678507796.977468.54328.43153.0272
3769307475.087361.25113.832-545.082
3866006989.397230-240.613-389.387
3972907593.027098.54494.48-303.021
4076257406.686958.12448.554218.321
4177557216.666814.79401.864538.344
4269156491.46664.79-173.391423.599
4361456081.646532.71-451.06963.3605
4459856135.976432.92-296.944-150.973
4561005960.766348.54-387.777139.236
4659556098.376246.25-147.881-143.369
4758006009.266098.75-89.4855-209.264
4859056273.225944.79328.431-368.223
4957055937.165823.33113.832-232.165
5054305517.725758.33-240.613-87.7205
5164356223.235728.75494.48211.77
5260256174.185725.62448.554-149.179
5358156158.115756.25401.864-343.114
5451605621.825795.21-173.391-461.818
5549855399.975851.04-451.069-414.973
5655855644.15941.04-296.944-59.0978
5757905647.856035.62-387.777142.152
5861905987.746135.62-147.881202.256
5963006163.856253.33-89.4855136.152
6063406695.936367.5328.431-355.931
6166106579.256465.42113.83230.7517
6266856316.896557.5-240.613368.113
6374507136.356641.87494.48313.645
6474107163.146714.58448.554246.863
6572557199.576797.71401.86455.4277
6664606728.286901.67-173.391-268.276
6760356558.317009.37-451.069-523.306
6867456786.67083.54-296.944-41.5978
6966556739.517127.29-387.777-84.5145
7070707016.497164.37-147.88153.5064
7174157115.17204.58-89.4855299.902
7277207600.517272.08328.431119.486
7378157471.337357.5113.832343.668
7472607150.647391.25-240.613109.363
7579257878.027383.54494.4846.9786
7678257831.687383.12448.554-6.67882
7778057743.117341.25401.86461.886
7875307084.117257.5-173.391445.891
7970156705.187156.25-451.069309.819
8065756750.767047.71-296.944-175.764
8166406550.566938.33-387.77789.4439
8270756677.126825-147.881397.881
8364056628.226717.71-89.4855-223.223
8467206919.266590.83328.431-199.264
8563856556.336442.5113.832-171.332
8660856088.766329.37-240.613-3.76215
8764756749.276254.79494.48-274.271
8865556621.686173.12448.554-66.6788
8965006501.456099.58401.864-1.44734
9057905879.946053.33-173.391-89.9427
9151955605.396056.46-451.069-410.389
9256805787.016083.96-296.944-107.014
9357455734.16121.88-387.77710.9022
9460106026.916174.79-147.881-16.9103
9557056130.726220.21-89.4855-425.723
9663106602.816274.38328.431-292.806
9768706466.126352.29113.832403.877
9862606172.36412.92-240.61387.6962
9972106938.656444.17494.48271.354
10070906950.856502.29448.554139.155
10170556988.746586.87401.86466.261
10265356495.366668.75-173.39139.6406
10363206260.816711.88-451.06959.1939
10460106429.16726.04-296.944-419.098
10561656347.856735.62-387.777-182.848
10669856598.166746.04-147.881386.84
10767606685.516775-89.485574.4855
10872207138.856810.42328.43181.1522
10969956975.716861.87113.83219.2934
11064756693.356933.96-240.613-218.345
11172257475.16980.62494.48-250.105
11273257426.476977.92448.554-101.47
11375157375.416973.54401.864139.594
11469256822.036995.42-173.391102.974
11571656585.187036.25-451.069579.819
11668956776.187073.12-296.944118.819
11764006705.357093.12-387.777-305.348
11866856956.77104.58-147.881-271.702
11969557016.767106.25-89.4855-61.7645
12075507445.17116.67328.431104.902
1217645NANA113.832NA
1226710NANA-240.613NA
1237470NANA494.48NA
1247355NANA448.554NA
1257525NANA401.864NA
1267165NANA-173.391NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 6970 & NA & NA & 113.832 & NA \tabularnewline
2 & 6455 & NA & NA & -240.613 & NA \tabularnewline
3 & 8005 & NA & NA & 494.48 & NA \tabularnewline
4 & 8115 & NA & NA & 448.554 & NA \tabularnewline
5 & 8180 & NA & NA & 401.864 & NA \tabularnewline
6 & 7930 & NA & NA & -173.391 & NA \tabularnewline
7 & 7275 & 7370.39 & 7821.46 & -451.069 & -95.3895 \tabularnewline
8 & 7865 & 7657.64 & 7954.58 & -296.944 & 207.361 \tabularnewline
9 & 7610 & 7667.22 & 8055 & -387.777 & -57.2228 \tabularnewline
10 & 7435 & 7944.83 & 8092.71 & -147.881 & -509.827 \tabularnewline
11 & 8480 & 8025.31 & 8114.79 & -89.4855 & 454.694 \tabularnewline
12 & 8850 & 8444.06 & 8115.63 & 328.431 & 405.944 \tabularnewline
13 & 8345 & 8246.96 & 8133.13 & 113.832 & 98.0434 \tabularnewline
14 & 8275 & 7941.89 & 8182.5 & -240.613 & 333.113 \tabularnewline
15 & 8595 & 8701.15 & 8206.67 & 494.48 & -106.146 \tabularnewline
16 & 8430 & 8662.93 & 8214.38 & 448.554 & -232.929 \tabularnewline
17 & 8395 & 8603.74 & 8201.88 & 401.864 & -208.739 \tabularnewline
18 & 7735 & 8012.23 & 8185.62 & -173.391 & -277.234 \tabularnewline
19 & 7890 & 7737.06 & 8188.12 & -451.069 & 152.944 \tabularnewline
20 & 8435 & 7864.93 & 8161.87 & -296.944 & 570.069 \tabularnewline
21 & 7620 & 7751.6 & 8139.37 & -387.777 & -131.598 \tabularnewline
22 & 7610 & 7996.49 & 8144.37 & -147.881 & -386.494 \tabularnewline
23 & 8005 & 8047.39 & 8136.88 & -89.4855 & -42.3895 \tabularnewline
24 & 8935 & 8462.81 & 8134.38 & 328.431 & 472.194 \tabularnewline
25 & 8320 & 8248.62 & 8134.79 & 113.832 & 71.3767 \tabularnewline
26 & 7670 & 7850.64 & 8091.25 & -240.613 & -180.637 \tabularnewline
27 & 8660 & 8551.77 & 8057.29 & 494.48 & 108.229 \tabularnewline
28 & 8485 & 8513.97 & 8065.42 & 448.554 & -28.9705 \tabularnewline
29 & 8160 & 8449.78 & 8047.92 & 401.864 & -289.781 \tabularnewline
30 & 7910 & 7806.4 & 7979.79 & -173.391 & 103.599 \tabularnewline
31 & 7725 & 7425.6 & 7876.67 & -451.069 & 299.402 \tabularnewline
32 & 7555 & 7477.22 & 7774.17 & -296.944 & 77.7772 \tabularnewline
33 & 7685 & 7284.72 & 7672.5 & -387.777 & 400.277 \tabularnewline
34 & 7740 & 7431.7 & 7579.58 & -147.881 & 308.298 \tabularnewline
35 & 7455 & 7437.39 & 7526.88 & -89.4855 & 17.6105 \tabularnewline
36 & 7850 & 7796.97 & 7468.54 & 328.431 & 53.0272 \tabularnewline
37 & 6930 & 7475.08 & 7361.25 & 113.832 & -545.082 \tabularnewline
38 & 6600 & 6989.39 & 7230 & -240.613 & -389.387 \tabularnewline
39 & 7290 & 7593.02 & 7098.54 & 494.48 & -303.021 \tabularnewline
40 & 7625 & 7406.68 & 6958.12 & 448.554 & 218.321 \tabularnewline
41 & 7755 & 7216.66 & 6814.79 & 401.864 & 538.344 \tabularnewline
42 & 6915 & 6491.4 & 6664.79 & -173.391 & 423.599 \tabularnewline
43 & 6145 & 6081.64 & 6532.71 & -451.069 & 63.3605 \tabularnewline
44 & 5985 & 6135.97 & 6432.92 & -296.944 & -150.973 \tabularnewline
45 & 6100 & 5960.76 & 6348.54 & -387.777 & 139.236 \tabularnewline
46 & 5955 & 6098.37 & 6246.25 & -147.881 & -143.369 \tabularnewline
47 & 5800 & 6009.26 & 6098.75 & -89.4855 & -209.264 \tabularnewline
48 & 5905 & 6273.22 & 5944.79 & 328.431 & -368.223 \tabularnewline
49 & 5705 & 5937.16 & 5823.33 & 113.832 & -232.165 \tabularnewline
50 & 5430 & 5517.72 & 5758.33 & -240.613 & -87.7205 \tabularnewline
51 & 6435 & 6223.23 & 5728.75 & 494.48 & 211.77 \tabularnewline
52 & 6025 & 6174.18 & 5725.62 & 448.554 & -149.179 \tabularnewline
53 & 5815 & 6158.11 & 5756.25 & 401.864 & -343.114 \tabularnewline
54 & 5160 & 5621.82 & 5795.21 & -173.391 & -461.818 \tabularnewline
55 & 4985 & 5399.97 & 5851.04 & -451.069 & -414.973 \tabularnewline
56 & 5585 & 5644.1 & 5941.04 & -296.944 & -59.0978 \tabularnewline
57 & 5790 & 5647.85 & 6035.62 & -387.777 & 142.152 \tabularnewline
58 & 6190 & 5987.74 & 6135.62 & -147.881 & 202.256 \tabularnewline
59 & 6300 & 6163.85 & 6253.33 & -89.4855 & 136.152 \tabularnewline
60 & 6340 & 6695.93 & 6367.5 & 328.431 & -355.931 \tabularnewline
61 & 6610 & 6579.25 & 6465.42 & 113.832 & 30.7517 \tabularnewline
62 & 6685 & 6316.89 & 6557.5 & -240.613 & 368.113 \tabularnewline
63 & 7450 & 7136.35 & 6641.87 & 494.48 & 313.645 \tabularnewline
64 & 7410 & 7163.14 & 6714.58 & 448.554 & 246.863 \tabularnewline
65 & 7255 & 7199.57 & 6797.71 & 401.864 & 55.4277 \tabularnewline
66 & 6460 & 6728.28 & 6901.67 & -173.391 & -268.276 \tabularnewline
67 & 6035 & 6558.31 & 7009.37 & -451.069 & -523.306 \tabularnewline
68 & 6745 & 6786.6 & 7083.54 & -296.944 & -41.5978 \tabularnewline
69 & 6655 & 6739.51 & 7127.29 & -387.777 & -84.5145 \tabularnewline
70 & 7070 & 7016.49 & 7164.37 & -147.881 & 53.5064 \tabularnewline
71 & 7415 & 7115.1 & 7204.58 & -89.4855 & 299.902 \tabularnewline
72 & 7720 & 7600.51 & 7272.08 & 328.431 & 119.486 \tabularnewline
73 & 7815 & 7471.33 & 7357.5 & 113.832 & 343.668 \tabularnewline
74 & 7260 & 7150.64 & 7391.25 & -240.613 & 109.363 \tabularnewline
75 & 7925 & 7878.02 & 7383.54 & 494.48 & 46.9786 \tabularnewline
76 & 7825 & 7831.68 & 7383.12 & 448.554 & -6.67882 \tabularnewline
77 & 7805 & 7743.11 & 7341.25 & 401.864 & 61.886 \tabularnewline
78 & 7530 & 7084.11 & 7257.5 & -173.391 & 445.891 \tabularnewline
79 & 7015 & 6705.18 & 7156.25 & -451.069 & 309.819 \tabularnewline
80 & 6575 & 6750.76 & 7047.71 & -296.944 & -175.764 \tabularnewline
81 & 6640 & 6550.56 & 6938.33 & -387.777 & 89.4439 \tabularnewline
82 & 7075 & 6677.12 & 6825 & -147.881 & 397.881 \tabularnewline
83 & 6405 & 6628.22 & 6717.71 & -89.4855 & -223.223 \tabularnewline
84 & 6720 & 6919.26 & 6590.83 & 328.431 & -199.264 \tabularnewline
85 & 6385 & 6556.33 & 6442.5 & 113.832 & -171.332 \tabularnewline
86 & 6085 & 6088.76 & 6329.37 & -240.613 & -3.76215 \tabularnewline
87 & 6475 & 6749.27 & 6254.79 & 494.48 & -274.271 \tabularnewline
88 & 6555 & 6621.68 & 6173.12 & 448.554 & -66.6788 \tabularnewline
89 & 6500 & 6501.45 & 6099.58 & 401.864 & -1.44734 \tabularnewline
90 & 5790 & 5879.94 & 6053.33 & -173.391 & -89.9427 \tabularnewline
91 & 5195 & 5605.39 & 6056.46 & -451.069 & -410.389 \tabularnewline
92 & 5680 & 5787.01 & 6083.96 & -296.944 & -107.014 \tabularnewline
93 & 5745 & 5734.1 & 6121.88 & -387.777 & 10.9022 \tabularnewline
94 & 6010 & 6026.91 & 6174.79 & -147.881 & -16.9103 \tabularnewline
95 & 5705 & 6130.72 & 6220.21 & -89.4855 & -425.723 \tabularnewline
96 & 6310 & 6602.81 & 6274.38 & 328.431 & -292.806 \tabularnewline
97 & 6870 & 6466.12 & 6352.29 & 113.832 & 403.877 \tabularnewline
98 & 6260 & 6172.3 & 6412.92 & -240.613 & 87.6962 \tabularnewline
99 & 7210 & 6938.65 & 6444.17 & 494.48 & 271.354 \tabularnewline
100 & 7090 & 6950.85 & 6502.29 & 448.554 & 139.155 \tabularnewline
101 & 7055 & 6988.74 & 6586.87 & 401.864 & 66.261 \tabularnewline
102 & 6535 & 6495.36 & 6668.75 & -173.391 & 39.6406 \tabularnewline
103 & 6320 & 6260.81 & 6711.88 & -451.069 & 59.1939 \tabularnewline
104 & 6010 & 6429.1 & 6726.04 & -296.944 & -419.098 \tabularnewline
105 & 6165 & 6347.85 & 6735.62 & -387.777 & -182.848 \tabularnewline
106 & 6985 & 6598.16 & 6746.04 & -147.881 & 386.84 \tabularnewline
107 & 6760 & 6685.51 & 6775 & -89.4855 & 74.4855 \tabularnewline
108 & 7220 & 7138.85 & 6810.42 & 328.431 & 81.1522 \tabularnewline
109 & 6995 & 6975.71 & 6861.87 & 113.832 & 19.2934 \tabularnewline
110 & 6475 & 6693.35 & 6933.96 & -240.613 & -218.345 \tabularnewline
111 & 7225 & 7475.1 & 6980.62 & 494.48 & -250.105 \tabularnewline
112 & 7325 & 7426.47 & 6977.92 & 448.554 & -101.47 \tabularnewline
113 & 7515 & 7375.41 & 6973.54 & 401.864 & 139.594 \tabularnewline
114 & 6925 & 6822.03 & 6995.42 & -173.391 & 102.974 \tabularnewline
115 & 7165 & 6585.18 & 7036.25 & -451.069 & 579.819 \tabularnewline
116 & 6895 & 6776.18 & 7073.12 & -296.944 & 118.819 \tabularnewline
117 & 6400 & 6705.35 & 7093.12 & -387.777 & -305.348 \tabularnewline
118 & 6685 & 6956.7 & 7104.58 & -147.881 & -271.702 \tabularnewline
119 & 6955 & 7016.76 & 7106.25 & -89.4855 & -61.7645 \tabularnewline
120 & 7550 & 7445.1 & 7116.67 & 328.431 & 104.902 \tabularnewline
121 & 7645 & NA & NA & 113.832 & NA \tabularnewline
122 & 6710 & NA & NA & -240.613 & NA \tabularnewline
123 & 7470 & NA & NA & 494.48 & NA \tabularnewline
124 & 7355 & NA & NA & 448.554 & NA \tabularnewline
125 & 7525 & NA & NA & 401.864 & NA \tabularnewline
126 & 7165 & NA & NA & -173.391 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=299978&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]6970[/C][C]NA[/C][C]NA[/C][C]113.832[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]6455[/C][C]NA[/C][C]NA[/C][C]-240.613[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]8005[/C][C]NA[/C][C]NA[/C][C]494.48[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]8115[/C][C]NA[/C][C]NA[/C][C]448.554[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]8180[/C][C]NA[/C][C]NA[/C][C]401.864[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]7930[/C][C]NA[/C][C]NA[/C][C]-173.391[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]7275[/C][C]7370.39[/C][C]7821.46[/C][C]-451.069[/C][C]-95.3895[/C][/ROW]
[ROW][C]8[/C][C]7865[/C][C]7657.64[/C][C]7954.58[/C][C]-296.944[/C][C]207.361[/C][/ROW]
[ROW][C]9[/C][C]7610[/C][C]7667.22[/C][C]8055[/C][C]-387.777[/C][C]-57.2228[/C][/ROW]
[ROW][C]10[/C][C]7435[/C][C]7944.83[/C][C]8092.71[/C][C]-147.881[/C][C]-509.827[/C][/ROW]
[ROW][C]11[/C][C]8480[/C][C]8025.31[/C][C]8114.79[/C][C]-89.4855[/C][C]454.694[/C][/ROW]
[ROW][C]12[/C][C]8850[/C][C]8444.06[/C][C]8115.63[/C][C]328.431[/C][C]405.944[/C][/ROW]
[ROW][C]13[/C][C]8345[/C][C]8246.96[/C][C]8133.13[/C][C]113.832[/C][C]98.0434[/C][/ROW]
[ROW][C]14[/C][C]8275[/C][C]7941.89[/C][C]8182.5[/C][C]-240.613[/C][C]333.113[/C][/ROW]
[ROW][C]15[/C][C]8595[/C][C]8701.15[/C][C]8206.67[/C][C]494.48[/C][C]-106.146[/C][/ROW]
[ROW][C]16[/C][C]8430[/C][C]8662.93[/C][C]8214.38[/C][C]448.554[/C][C]-232.929[/C][/ROW]
[ROW][C]17[/C][C]8395[/C][C]8603.74[/C][C]8201.88[/C][C]401.864[/C][C]-208.739[/C][/ROW]
[ROW][C]18[/C][C]7735[/C][C]8012.23[/C][C]8185.62[/C][C]-173.391[/C][C]-277.234[/C][/ROW]
[ROW][C]19[/C][C]7890[/C][C]7737.06[/C][C]8188.12[/C][C]-451.069[/C][C]152.944[/C][/ROW]
[ROW][C]20[/C][C]8435[/C][C]7864.93[/C][C]8161.87[/C][C]-296.944[/C][C]570.069[/C][/ROW]
[ROW][C]21[/C][C]7620[/C][C]7751.6[/C][C]8139.37[/C][C]-387.777[/C][C]-131.598[/C][/ROW]
[ROW][C]22[/C][C]7610[/C][C]7996.49[/C][C]8144.37[/C][C]-147.881[/C][C]-386.494[/C][/ROW]
[ROW][C]23[/C][C]8005[/C][C]8047.39[/C][C]8136.88[/C][C]-89.4855[/C][C]-42.3895[/C][/ROW]
[ROW][C]24[/C][C]8935[/C][C]8462.81[/C][C]8134.38[/C][C]328.431[/C][C]472.194[/C][/ROW]
[ROW][C]25[/C][C]8320[/C][C]8248.62[/C][C]8134.79[/C][C]113.832[/C][C]71.3767[/C][/ROW]
[ROW][C]26[/C][C]7670[/C][C]7850.64[/C][C]8091.25[/C][C]-240.613[/C][C]-180.637[/C][/ROW]
[ROW][C]27[/C][C]8660[/C][C]8551.77[/C][C]8057.29[/C][C]494.48[/C][C]108.229[/C][/ROW]
[ROW][C]28[/C][C]8485[/C][C]8513.97[/C][C]8065.42[/C][C]448.554[/C][C]-28.9705[/C][/ROW]
[ROW][C]29[/C][C]8160[/C][C]8449.78[/C][C]8047.92[/C][C]401.864[/C][C]-289.781[/C][/ROW]
[ROW][C]30[/C][C]7910[/C][C]7806.4[/C][C]7979.79[/C][C]-173.391[/C][C]103.599[/C][/ROW]
[ROW][C]31[/C][C]7725[/C][C]7425.6[/C][C]7876.67[/C][C]-451.069[/C][C]299.402[/C][/ROW]
[ROW][C]32[/C][C]7555[/C][C]7477.22[/C][C]7774.17[/C][C]-296.944[/C][C]77.7772[/C][/ROW]
[ROW][C]33[/C][C]7685[/C][C]7284.72[/C][C]7672.5[/C][C]-387.777[/C][C]400.277[/C][/ROW]
[ROW][C]34[/C][C]7740[/C][C]7431.7[/C][C]7579.58[/C][C]-147.881[/C][C]308.298[/C][/ROW]
[ROW][C]35[/C][C]7455[/C][C]7437.39[/C][C]7526.88[/C][C]-89.4855[/C][C]17.6105[/C][/ROW]
[ROW][C]36[/C][C]7850[/C][C]7796.97[/C][C]7468.54[/C][C]328.431[/C][C]53.0272[/C][/ROW]
[ROW][C]37[/C][C]6930[/C][C]7475.08[/C][C]7361.25[/C][C]113.832[/C][C]-545.082[/C][/ROW]
[ROW][C]38[/C][C]6600[/C][C]6989.39[/C][C]7230[/C][C]-240.613[/C][C]-389.387[/C][/ROW]
[ROW][C]39[/C][C]7290[/C][C]7593.02[/C][C]7098.54[/C][C]494.48[/C][C]-303.021[/C][/ROW]
[ROW][C]40[/C][C]7625[/C][C]7406.68[/C][C]6958.12[/C][C]448.554[/C][C]218.321[/C][/ROW]
[ROW][C]41[/C][C]7755[/C][C]7216.66[/C][C]6814.79[/C][C]401.864[/C][C]538.344[/C][/ROW]
[ROW][C]42[/C][C]6915[/C][C]6491.4[/C][C]6664.79[/C][C]-173.391[/C][C]423.599[/C][/ROW]
[ROW][C]43[/C][C]6145[/C][C]6081.64[/C][C]6532.71[/C][C]-451.069[/C][C]63.3605[/C][/ROW]
[ROW][C]44[/C][C]5985[/C][C]6135.97[/C][C]6432.92[/C][C]-296.944[/C][C]-150.973[/C][/ROW]
[ROW][C]45[/C][C]6100[/C][C]5960.76[/C][C]6348.54[/C][C]-387.777[/C][C]139.236[/C][/ROW]
[ROW][C]46[/C][C]5955[/C][C]6098.37[/C][C]6246.25[/C][C]-147.881[/C][C]-143.369[/C][/ROW]
[ROW][C]47[/C][C]5800[/C][C]6009.26[/C][C]6098.75[/C][C]-89.4855[/C][C]-209.264[/C][/ROW]
[ROW][C]48[/C][C]5905[/C][C]6273.22[/C][C]5944.79[/C][C]328.431[/C][C]-368.223[/C][/ROW]
[ROW][C]49[/C][C]5705[/C][C]5937.16[/C][C]5823.33[/C][C]113.832[/C][C]-232.165[/C][/ROW]
[ROW][C]50[/C][C]5430[/C][C]5517.72[/C][C]5758.33[/C][C]-240.613[/C][C]-87.7205[/C][/ROW]
[ROW][C]51[/C][C]6435[/C][C]6223.23[/C][C]5728.75[/C][C]494.48[/C][C]211.77[/C][/ROW]
[ROW][C]52[/C][C]6025[/C][C]6174.18[/C][C]5725.62[/C][C]448.554[/C][C]-149.179[/C][/ROW]
[ROW][C]53[/C][C]5815[/C][C]6158.11[/C][C]5756.25[/C][C]401.864[/C][C]-343.114[/C][/ROW]
[ROW][C]54[/C][C]5160[/C][C]5621.82[/C][C]5795.21[/C][C]-173.391[/C][C]-461.818[/C][/ROW]
[ROW][C]55[/C][C]4985[/C][C]5399.97[/C][C]5851.04[/C][C]-451.069[/C][C]-414.973[/C][/ROW]
[ROW][C]56[/C][C]5585[/C][C]5644.1[/C][C]5941.04[/C][C]-296.944[/C][C]-59.0978[/C][/ROW]
[ROW][C]57[/C][C]5790[/C][C]5647.85[/C][C]6035.62[/C][C]-387.777[/C][C]142.152[/C][/ROW]
[ROW][C]58[/C][C]6190[/C][C]5987.74[/C][C]6135.62[/C][C]-147.881[/C][C]202.256[/C][/ROW]
[ROW][C]59[/C][C]6300[/C][C]6163.85[/C][C]6253.33[/C][C]-89.4855[/C][C]136.152[/C][/ROW]
[ROW][C]60[/C][C]6340[/C][C]6695.93[/C][C]6367.5[/C][C]328.431[/C][C]-355.931[/C][/ROW]
[ROW][C]61[/C][C]6610[/C][C]6579.25[/C][C]6465.42[/C][C]113.832[/C][C]30.7517[/C][/ROW]
[ROW][C]62[/C][C]6685[/C][C]6316.89[/C][C]6557.5[/C][C]-240.613[/C][C]368.113[/C][/ROW]
[ROW][C]63[/C][C]7450[/C][C]7136.35[/C][C]6641.87[/C][C]494.48[/C][C]313.645[/C][/ROW]
[ROW][C]64[/C][C]7410[/C][C]7163.14[/C][C]6714.58[/C][C]448.554[/C][C]246.863[/C][/ROW]
[ROW][C]65[/C][C]7255[/C][C]7199.57[/C][C]6797.71[/C][C]401.864[/C][C]55.4277[/C][/ROW]
[ROW][C]66[/C][C]6460[/C][C]6728.28[/C][C]6901.67[/C][C]-173.391[/C][C]-268.276[/C][/ROW]
[ROW][C]67[/C][C]6035[/C][C]6558.31[/C][C]7009.37[/C][C]-451.069[/C][C]-523.306[/C][/ROW]
[ROW][C]68[/C][C]6745[/C][C]6786.6[/C][C]7083.54[/C][C]-296.944[/C][C]-41.5978[/C][/ROW]
[ROW][C]69[/C][C]6655[/C][C]6739.51[/C][C]7127.29[/C][C]-387.777[/C][C]-84.5145[/C][/ROW]
[ROW][C]70[/C][C]7070[/C][C]7016.49[/C][C]7164.37[/C][C]-147.881[/C][C]53.5064[/C][/ROW]
[ROW][C]71[/C][C]7415[/C][C]7115.1[/C][C]7204.58[/C][C]-89.4855[/C][C]299.902[/C][/ROW]
[ROW][C]72[/C][C]7720[/C][C]7600.51[/C][C]7272.08[/C][C]328.431[/C][C]119.486[/C][/ROW]
[ROW][C]73[/C][C]7815[/C][C]7471.33[/C][C]7357.5[/C][C]113.832[/C][C]343.668[/C][/ROW]
[ROW][C]74[/C][C]7260[/C][C]7150.64[/C][C]7391.25[/C][C]-240.613[/C][C]109.363[/C][/ROW]
[ROW][C]75[/C][C]7925[/C][C]7878.02[/C][C]7383.54[/C][C]494.48[/C][C]46.9786[/C][/ROW]
[ROW][C]76[/C][C]7825[/C][C]7831.68[/C][C]7383.12[/C][C]448.554[/C][C]-6.67882[/C][/ROW]
[ROW][C]77[/C][C]7805[/C][C]7743.11[/C][C]7341.25[/C][C]401.864[/C][C]61.886[/C][/ROW]
[ROW][C]78[/C][C]7530[/C][C]7084.11[/C][C]7257.5[/C][C]-173.391[/C][C]445.891[/C][/ROW]
[ROW][C]79[/C][C]7015[/C][C]6705.18[/C][C]7156.25[/C][C]-451.069[/C][C]309.819[/C][/ROW]
[ROW][C]80[/C][C]6575[/C][C]6750.76[/C][C]7047.71[/C][C]-296.944[/C][C]-175.764[/C][/ROW]
[ROW][C]81[/C][C]6640[/C][C]6550.56[/C][C]6938.33[/C][C]-387.777[/C][C]89.4439[/C][/ROW]
[ROW][C]82[/C][C]7075[/C][C]6677.12[/C][C]6825[/C][C]-147.881[/C][C]397.881[/C][/ROW]
[ROW][C]83[/C][C]6405[/C][C]6628.22[/C][C]6717.71[/C][C]-89.4855[/C][C]-223.223[/C][/ROW]
[ROW][C]84[/C][C]6720[/C][C]6919.26[/C][C]6590.83[/C][C]328.431[/C][C]-199.264[/C][/ROW]
[ROW][C]85[/C][C]6385[/C][C]6556.33[/C][C]6442.5[/C][C]113.832[/C][C]-171.332[/C][/ROW]
[ROW][C]86[/C][C]6085[/C][C]6088.76[/C][C]6329.37[/C][C]-240.613[/C][C]-3.76215[/C][/ROW]
[ROW][C]87[/C][C]6475[/C][C]6749.27[/C][C]6254.79[/C][C]494.48[/C][C]-274.271[/C][/ROW]
[ROW][C]88[/C][C]6555[/C][C]6621.68[/C][C]6173.12[/C][C]448.554[/C][C]-66.6788[/C][/ROW]
[ROW][C]89[/C][C]6500[/C][C]6501.45[/C][C]6099.58[/C][C]401.864[/C][C]-1.44734[/C][/ROW]
[ROW][C]90[/C][C]5790[/C][C]5879.94[/C][C]6053.33[/C][C]-173.391[/C][C]-89.9427[/C][/ROW]
[ROW][C]91[/C][C]5195[/C][C]5605.39[/C][C]6056.46[/C][C]-451.069[/C][C]-410.389[/C][/ROW]
[ROW][C]92[/C][C]5680[/C][C]5787.01[/C][C]6083.96[/C][C]-296.944[/C][C]-107.014[/C][/ROW]
[ROW][C]93[/C][C]5745[/C][C]5734.1[/C][C]6121.88[/C][C]-387.777[/C][C]10.9022[/C][/ROW]
[ROW][C]94[/C][C]6010[/C][C]6026.91[/C][C]6174.79[/C][C]-147.881[/C][C]-16.9103[/C][/ROW]
[ROW][C]95[/C][C]5705[/C][C]6130.72[/C][C]6220.21[/C][C]-89.4855[/C][C]-425.723[/C][/ROW]
[ROW][C]96[/C][C]6310[/C][C]6602.81[/C][C]6274.38[/C][C]328.431[/C][C]-292.806[/C][/ROW]
[ROW][C]97[/C][C]6870[/C][C]6466.12[/C][C]6352.29[/C][C]113.832[/C][C]403.877[/C][/ROW]
[ROW][C]98[/C][C]6260[/C][C]6172.3[/C][C]6412.92[/C][C]-240.613[/C][C]87.6962[/C][/ROW]
[ROW][C]99[/C][C]7210[/C][C]6938.65[/C][C]6444.17[/C][C]494.48[/C][C]271.354[/C][/ROW]
[ROW][C]100[/C][C]7090[/C][C]6950.85[/C][C]6502.29[/C][C]448.554[/C][C]139.155[/C][/ROW]
[ROW][C]101[/C][C]7055[/C][C]6988.74[/C][C]6586.87[/C][C]401.864[/C][C]66.261[/C][/ROW]
[ROW][C]102[/C][C]6535[/C][C]6495.36[/C][C]6668.75[/C][C]-173.391[/C][C]39.6406[/C][/ROW]
[ROW][C]103[/C][C]6320[/C][C]6260.81[/C][C]6711.88[/C][C]-451.069[/C][C]59.1939[/C][/ROW]
[ROW][C]104[/C][C]6010[/C][C]6429.1[/C][C]6726.04[/C][C]-296.944[/C][C]-419.098[/C][/ROW]
[ROW][C]105[/C][C]6165[/C][C]6347.85[/C][C]6735.62[/C][C]-387.777[/C][C]-182.848[/C][/ROW]
[ROW][C]106[/C][C]6985[/C][C]6598.16[/C][C]6746.04[/C][C]-147.881[/C][C]386.84[/C][/ROW]
[ROW][C]107[/C][C]6760[/C][C]6685.51[/C][C]6775[/C][C]-89.4855[/C][C]74.4855[/C][/ROW]
[ROW][C]108[/C][C]7220[/C][C]7138.85[/C][C]6810.42[/C][C]328.431[/C][C]81.1522[/C][/ROW]
[ROW][C]109[/C][C]6995[/C][C]6975.71[/C][C]6861.87[/C][C]113.832[/C][C]19.2934[/C][/ROW]
[ROW][C]110[/C][C]6475[/C][C]6693.35[/C][C]6933.96[/C][C]-240.613[/C][C]-218.345[/C][/ROW]
[ROW][C]111[/C][C]7225[/C][C]7475.1[/C][C]6980.62[/C][C]494.48[/C][C]-250.105[/C][/ROW]
[ROW][C]112[/C][C]7325[/C][C]7426.47[/C][C]6977.92[/C][C]448.554[/C][C]-101.47[/C][/ROW]
[ROW][C]113[/C][C]7515[/C][C]7375.41[/C][C]6973.54[/C][C]401.864[/C][C]139.594[/C][/ROW]
[ROW][C]114[/C][C]6925[/C][C]6822.03[/C][C]6995.42[/C][C]-173.391[/C][C]102.974[/C][/ROW]
[ROW][C]115[/C][C]7165[/C][C]6585.18[/C][C]7036.25[/C][C]-451.069[/C][C]579.819[/C][/ROW]
[ROW][C]116[/C][C]6895[/C][C]6776.18[/C][C]7073.12[/C][C]-296.944[/C][C]118.819[/C][/ROW]
[ROW][C]117[/C][C]6400[/C][C]6705.35[/C][C]7093.12[/C][C]-387.777[/C][C]-305.348[/C][/ROW]
[ROW][C]118[/C][C]6685[/C][C]6956.7[/C][C]7104.58[/C][C]-147.881[/C][C]-271.702[/C][/ROW]
[ROW][C]119[/C][C]6955[/C][C]7016.76[/C][C]7106.25[/C][C]-89.4855[/C][C]-61.7645[/C][/ROW]
[ROW][C]120[/C][C]7550[/C][C]7445.1[/C][C]7116.67[/C][C]328.431[/C][C]104.902[/C][/ROW]
[ROW][C]121[/C][C]7645[/C][C]NA[/C][C]NA[/C][C]113.832[/C][C]NA[/C][/ROW]
[ROW][C]122[/C][C]6710[/C][C]NA[/C][C]NA[/C][C]-240.613[/C][C]NA[/C][/ROW]
[ROW][C]123[/C][C]7470[/C][C]NA[/C][C]NA[/C][C]494.48[/C][C]NA[/C][/ROW]
[ROW][C]124[/C][C]7355[/C][C]NA[/C][C]NA[/C][C]448.554[/C][C]NA[/C][/ROW]
[ROW][C]125[/C][C]7525[/C][C]NA[/C][C]NA[/C][C]401.864[/C][C]NA[/C][/ROW]
[ROW][C]126[/C][C]7165[/C][C]NA[/C][C]NA[/C][C]-173.391[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=299978&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=299978&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
16970NANA113.832NA
26455NANA-240.613NA
38005NANA494.48NA
48115NANA448.554NA
58180NANA401.864NA
67930NANA-173.391NA
772757370.397821.46-451.069-95.3895
878657657.647954.58-296.944207.361
976107667.228055-387.777-57.2228
1074357944.838092.71-147.881-509.827
1184808025.318114.79-89.4855454.694
1288508444.068115.63328.431405.944
1383458246.968133.13113.83298.0434
1482757941.898182.5-240.613333.113
1585958701.158206.67494.48-106.146
1684308662.938214.38448.554-232.929
1783958603.748201.88401.864-208.739
1877358012.238185.62-173.391-277.234
1978907737.068188.12-451.069152.944
2084357864.938161.87-296.944570.069
2176207751.68139.37-387.777-131.598
2276107996.498144.37-147.881-386.494
2380058047.398136.88-89.4855-42.3895
2489358462.818134.38328.431472.194
2583208248.628134.79113.83271.3767
2676707850.648091.25-240.613-180.637
2786608551.778057.29494.48108.229
2884858513.978065.42448.554-28.9705
2981608449.788047.92401.864-289.781
3079107806.47979.79-173.391103.599
3177257425.67876.67-451.069299.402
3275557477.227774.17-296.94477.7772
3376857284.727672.5-387.777400.277
3477407431.77579.58-147.881308.298
3574557437.397526.88-89.485517.6105
3678507796.977468.54328.43153.0272
3769307475.087361.25113.832-545.082
3866006989.397230-240.613-389.387
3972907593.027098.54494.48-303.021
4076257406.686958.12448.554218.321
4177557216.666814.79401.864538.344
4269156491.46664.79-173.391423.599
4361456081.646532.71-451.06963.3605
4459856135.976432.92-296.944-150.973
4561005960.766348.54-387.777139.236
4659556098.376246.25-147.881-143.369
4758006009.266098.75-89.4855-209.264
4859056273.225944.79328.431-368.223
4957055937.165823.33113.832-232.165
5054305517.725758.33-240.613-87.7205
5164356223.235728.75494.48211.77
5260256174.185725.62448.554-149.179
5358156158.115756.25401.864-343.114
5451605621.825795.21-173.391-461.818
5549855399.975851.04-451.069-414.973
5655855644.15941.04-296.944-59.0978
5757905647.856035.62-387.777142.152
5861905987.746135.62-147.881202.256
5963006163.856253.33-89.4855136.152
6063406695.936367.5328.431-355.931
6166106579.256465.42113.83230.7517
6266856316.896557.5-240.613368.113
6374507136.356641.87494.48313.645
6474107163.146714.58448.554246.863
6572557199.576797.71401.86455.4277
6664606728.286901.67-173.391-268.276
6760356558.317009.37-451.069-523.306
6867456786.67083.54-296.944-41.5978
6966556739.517127.29-387.777-84.5145
7070707016.497164.37-147.88153.5064
7174157115.17204.58-89.4855299.902
7277207600.517272.08328.431119.486
7378157471.337357.5113.832343.668
7472607150.647391.25-240.613109.363
7579257878.027383.54494.4846.9786
7678257831.687383.12448.554-6.67882
7778057743.117341.25401.86461.886
7875307084.117257.5-173.391445.891
7970156705.187156.25-451.069309.819
8065756750.767047.71-296.944-175.764
8166406550.566938.33-387.77789.4439
8270756677.126825-147.881397.881
8364056628.226717.71-89.4855-223.223
8467206919.266590.83328.431-199.264
8563856556.336442.5113.832-171.332
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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')