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Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationMon, 30 Nov 2015 11:10:54 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2015/Nov/30/t14488818828miihdofx94ad07.htm/, Retrieved Tue, 14 May 2024 19:43:00 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=284570, Retrieved Tue, 14 May 2024 19:43:00 +0000
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Original text written by user:
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User-defined keywords
Estimated Impact103
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [] [2015-11-30 11:10:54] [9de61432ca342460988ae3c030b81fa6] [Current]
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Dataseries X:
-12
-12
-8
-6
-2
4
3
5
8
5
3
6
15
12
11
12
14
18
15
16
-1
-5
-6
-5
-2
-9
-9
-12
-16
-19
-30
-26
-22
-31
-33
-31
-27
-29
-33
-27
-22
-23
-23
-15
-15
-24
-18
-14
-7
-12
-12
-15
-16
-17
-13
-8
-13
-13
-11
-16
-34
-35
-38
-32
-37
-39
-31
-30
-29
-36
-41
-42
-33
-43
-41
-34
-32
-36
-37
-30
-32
-30
-21
-19
-6
-11
-11




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Sir Maurice George Kendall' @ kendall.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 2 seconds \tabularnewline
R Server & 'Sir Maurice George Kendall' @ kendall.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=284570&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Maurice George Kendall' @ kendall.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=284570&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=284570&T=0

As an alternative you can also use a QR Code:  

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

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Sir Maurice George Kendall' @ kendall.wessa.net







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
1-12NANA2.18163NA
2-12NANA-1.9642NA
3-8NANA-2.44337NA
4-6NANA0.410797NA
5-2NANA0.653853NA
64NANA-0.172536NA
730.6875830.6250.06258272.31242
856.770922.754.02092-1.77092
986.288774.541671.747111.71123
1054.153856.08333-1.929480.846147
1135.639967.5-1.86004-2.63996
1268.042748.75-0.707259-2.04274
131512.0159.833332.181632.98504
14128.8274610.7917-1.96423.17254
15118.4316310.875-2.443372.56837
161210.494110.08330.4107971.50587
17149.945529.291670.6538534.05448
18188.28588.45833-0.1725369.7142
19157.354257.291670.06258277.64575
20169.729255.708334.020926.27075
21-15.7471141.74711-6.74711
22-50.2371862.16667-1.92948-5.23719
23-6-1.94337-0.0833333-1.86004-4.05663
24-5-3.58226-2.875-0.707259-1.41774
25-2-4.11004-6.291672.181632.11004
26-9-11.8809-9.91667-1.96422.88087
27-9-14.985-12.5417-2.443375.98504
28-12-14.0892-14.50.4107972.0892
29-16-16.0545-16.70830.6538530.0544808
30-19-19.0892-18.9167-0.1725360.089203
31-30-20.9791-21.04170.0625827-9.02092
32-26-18.8958-22.91674.02092-7.10425
33-22-23.0029-24.751.747111.00289
34-31-28.3045-26.375-1.92948-2.69552
35-33-29.11-27.25-1.86004-3.88996
36-31-28.3739-27.6667-0.707259-2.62607
37-27-25.36-27.54172.18163-1.63996
38-29-28.7559-26.7917-1.9642-0.24413
39-33-28.485-26.0417-2.44337-4.51496
40-27-25.0475-25.45830.410797-1.95246
41-22-23.8878-24.54170.6538531.88781
42-23-23.3809-23.2083-0.1725360.38087
43-23-21.6041-21.66670.0625827-1.39592
44-15-16.1041-20.1254.020921.10408
45-15-16.7946-18.54171.747111.79456
46-24-19.0961-17.1667-1.92948-4.90385
47-18-18.2767-16.4167-1.860040.276703
48-14-16.6239-15.9167-0.7072592.62393
49-7-13.0684-15.252.181636.06837
50-12-16.5059-14.5417-1.96424.50587
51-12-16.61-14.1667-2.443374.61004
52-15-13.2142-13.6250.410797-1.7858
53-16-12.2211-12.8750.653853-3.77885
54-17-12.8392-12.6667-0.172536-4.1608
55-13-13.8124-13.8750.06258270.812417
56-8-11.9374-15.95834.020923.93742
57-13-16.2529-181.747113.25289
58-13-21.7211-19.7917-1.929488.72115
59-11-23.235-21.375-1.8600412.235
60-16-23.8739-23.1667-0.7072597.87393
61-34-22.6517-24.83332.18163-11.3483
62-35-28.4642-26.5-1.9642-6.5358
63-38-30.5267-28.0833-2.44337-7.4733
64-32-29.2975-29.70830.410797-2.70246
65-37-31.2628-31.91670.653853-5.73719
66-39-34.4225-34.25-0.172536-4.57746
67-31-35.2291-35.29170.06258274.22908
68-30-31.5624-35.58334.020921.56242
69-29-34.2946-36.04171.747115.29456
70-36-38.1795-36.25-1.929482.17948
71-41-37.985-36.125-1.86004-3.01496
72-42-36.4989-35.7917-0.707259-5.50107
73-33-33.735-35.91672.181630.735036
74-43-38.1309-36.1667-1.9642-4.86913
75-41-38.735-36.2917-2.44337-2.26496
76-34-35.7559-36.16670.4107971.75587
77-32-34.4295-35.08330.6538532.42948
78-36-33.4642-33.2917-0.172536-2.5358
79-37-31.1458-31.20830.0625827-5.85425
80-30-24.7291-28.754.02092-5.27092
81-32-24.4196-26.16671.74711-7.58044
82-30NANA-1.92948NA
83-21NANA-1.86004NA
84-19NANA-0.707259NA
85-6NANA2.18163NA
86-11NANA-1.9642NA
87-11NANA-2.44337NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & -12 & NA & NA & 2.18163 & NA \tabularnewline
2 & -12 & NA & NA & -1.9642 & NA \tabularnewline
3 & -8 & NA & NA & -2.44337 & NA \tabularnewline
4 & -6 & NA & NA & 0.410797 & NA \tabularnewline
5 & -2 & NA & NA & 0.653853 & NA \tabularnewline
6 & 4 & NA & NA & -0.172536 & NA \tabularnewline
7 & 3 & 0.687583 & 0.625 & 0.0625827 & 2.31242 \tabularnewline
8 & 5 & 6.77092 & 2.75 & 4.02092 & -1.77092 \tabularnewline
9 & 8 & 6.28877 & 4.54167 & 1.74711 & 1.71123 \tabularnewline
10 & 5 & 4.15385 & 6.08333 & -1.92948 & 0.846147 \tabularnewline
11 & 3 & 5.63996 & 7.5 & -1.86004 & -2.63996 \tabularnewline
12 & 6 & 8.04274 & 8.75 & -0.707259 & -2.04274 \tabularnewline
13 & 15 & 12.015 & 9.83333 & 2.18163 & 2.98504 \tabularnewline
14 & 12 & 8.82746 & 10.7917 & -1.9642 & 3.17254 \tabularnewline
15 & 11 & 8.43163 & 10.875 & -2.44337 & 2.56837 \tabularnewline
16 & 12 & 10.4941 & 10.0833 & 0.410797 & 1.50587 \tabularnewline
17 & 14 & 9.94552 & 9.29167 & 0.653853 & 4.05448 \tabularnewline
18 & 18 & 8.2858 & 8.45833 & -0.172536 & 9.7142 \tabularnewline
19 & 15 & 7.35425 & 7.29167 & 0.0625827 & 7.64575 \tabularnewline
20 & 16 & 9.72925 & 5.70833 & 4.02092 & 6.27075 \tabularnewline
21 & -1 & 5.74711 & 4 & 1.74711 & -6.74711 \tabularnewline
22 & -5 & 0.237186 & 2.16667 & -1.92948 & -5.23719 \tabularnewline
23 & -6 & -1.94337 & -0.0833333 & -1.86004 & -4.05663 \tabularnewline
24 & -5 & -3.58226 & -2.875 & -0.707259 & -1.41774 \tabularnewline
25 & -2 & -4.11004 & -6.29167 & 2.18163 & 2.11004 \tabularnewline
26 & -9 & -11.8809 & -9.91667 & -1.9642 & 2.88087 \tabularnewline
27 & -9 & -14.985 & -12.5417 & -2.44337 & 5.98504 \tabularnewline
28 & -12 & -14.0892 & -14.5 & 0.410797 & 2.0892 \tabularnewline
29 & -16 & -16.0545 & -16.7083 & 0.653853 & 0.0544808 \tabularnewline
30 & -19 & -19.0892 & -18.9167 & -0.172536 & 0.089203 \tabularnewline
31 & -30 & -20.9791 & -21.0417 & 0.0625827 & -9.02092 \tabularnewline
32 & -26 & -18.8958 & -22.9167 & 4.02092 & -7.10425 \tabularnewline
33 & -22 & -23.0029 & -24.75 & 1.74711 & 1.00289 \tabularnewline
34 & -31 & -28.3045 & -26.375 & -1.92948 & -2.69552 \tabularnewline
35 & -33 & -29.11 & -27.25 & -1.86004 & -3.88996 \tabularnewline
36 & -31 & -28.3739 & -27.6667 & -0.707259 & -2.62607 \tabularnewline
37 & -27 & -25.36 & -27.5417 & 2.18163 & -1.63996 \tabularnewline
38 & -29 & -28.7559 & -26.7917 & -1.9642 & -0.24413 \tabularnewline
39 & -33 & -28.485 & -26.0417 & -2.44337 & -4.51496 \tabularnewline
40 & -27 & -25.0475 & -25.4583 & 0.410797 & -1.95246 \tabularnewline
41 & -22 & -23.8878 & -24.5417 & 0.653853 & 1.88781 \tabularnewline
42 & -23 & -23.3809 & -23.2083 & -0.172536 & 0.38087 \tabularnewline
43 & -23 & -21.6041 & -21.6667 & 0.0625827 & -1.39592 \tabularnewline
44 & -15 & -16.1041 & -20.125 & 4.02092 & 1.10408 \tabularnewline
45 & -15 & -16.7946 & -18.5417 & 1.74711 & 1.79456 \tabularnewline
46 & -24 & -19.0961 & -17.1667 & -1.92948 & -4.90385 \tabularnewline
47 & -18 & -18.2767 & -16.4167 & -1.86004 & 0.276703 \tabularnewline
48 & -14 & -16.6239 & -15.9167 & -0.707259 & 2.62393 \tabularnewline
49 & -7 & -13.0684 & -15.25 & 2.18163 & 6.06837 \tabularnewline
50 & -12 & -16.5059 & -14.5417 & -1.9642 & 4.50587 \tabularnewline
51 & -12 & -16.61 & -14.1667 & -2.44337 & 4.61004 \tabularnewline
52 & -15 & -13.2142 & -13.625 & 0.410797 & -1.7858 \tabularnewline
53 & -16 & -12.2211 & -12.875 & 0.653853 & -3.77885 \tabularnewline
54 & -17 & -12.8392 & -12.6667 & -0.172536 & -4.1608 \tabularnewline
55 & -13 & -13.8124 & -13.875 & 0.0625827 & 0.812417 \tabularnewline
56 & -8 & -11.9374 & -15.9583 & 4.02092 & 3.93742 \tabularnewline
57 & -13 & -16.2529 & -18 & 1.74711 & 3.25289 \tabularnewline
58 & -13 & -21.7211 & -19.7917 & -1.92948 & 8.72115 \tabularnewline
59 & -11 & -23.235 & -21.375 & -1.86004 & 12.235 \tabularnewline
60 & -16 & -23.8739 & -23.1667 & -0.707259 & 7.87393 \tabularnewline
61 & -34 & -22.6517 & -24.8333 & 2.18163 & -11.3483 \tabularnewline
62 & -35 & -28.4642 & -26.5 & -1.9642 & -6.5358 \tabularnewline
63 & -38 & -30.5267 & -28.0833 & -2.44337 & -7.4733 \tabularnewline
64 & -32 & -29.2975 & -29.7083 & 0.410797 & -2.70246 \tabularnewline
65 & -37 & -31.2628 & -31.9167 & 0.653853 & -5.73719 \tabularnewline
66 & -39 & -34.4225 & -34.25 & -0.172536 & -4.57746 \tabularnewline
67 & -31 & -35.2291 & -35.2917 & 0.0625827 & 4.22908 \tabularnewline
68 & -30 & -31.5624 & -35.5833 & 4.02092 & 1.56242 \tabularnewline
69 & -29 & -34.2946 & -36.0417 & 1.74711 & 5.29456 \tabularnewline
70 & -36 & -38.1795 & -36.25 & -1.92948 & 2.17948 \tabularnewline
71 & -41 & -37.985 & -36.125 & -1.86004 & -3.01496 \tabularnewline
72 & -42 & -36.4989 & -35.7917 & -0.707259 & -5.50107 \tabularnewline
73 & -33 & -33.735 & -35.9167 & 2.18163 & 0.735036 \tabularnewline
74 & -43 & -38.1309 & -36.1667 & -1.9642 & -4.86913 \tabularnewline
75 & -41 & -38.735 & -36.2917 & -2.44337 & -2.26496 \tabularnewline
76 & -34 & -35.7559 & -36.1667 & 0.410797 & 1.75587 \tabularnewline
77 & -32 & -34.4295 & -35.0833 & 0.653853 & 2.42948 \tabularnewline
78 & -36 & -33.4642 & -33.2917 & -0.172536 & -2.5358 \tabularnewline
79 & -37 & -31.1458 & -31.2083 & 0.0625827 & -5.85425 \tabularnewline
80 & -30 & -24.7291 & -28.75 & 4.02092 & -5.27092 \tabularnewline
81 & -32 & -24.4196 & -26.1667 & 1.74711 & -7.58044 \tabularnewline
82 & -30 & NA & NA & -1.92948 & NA \tabularnewline
83 & -21 & NA & NA & -1.86004 & NA \tabularnewline
84 & -19 & NA & NA & -0.707259 & NA \tabularnewline
85 & -6 & NA & NA & 2.18163 & NA \tabularnewline
86 & -11 & NA & NA & -1.9642 & NA \tabularnewline
87 & -11 & NA & NA & -2.44337 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=284570&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]-12[/C][C]NA[/C][C]NA[/C][C]2.18163[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]-12[/C][C]NA[/C][C]NA[/C][C]-1.9642[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]-8[/C][C]NA[/C][C]NA[/C][C]-2.44337[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]-6[/C][C]NA[/C][C]NA[/C][C]0.410797[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]-2[/C][C]NA[/C][C]NA[/C][C]0.653853[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]4[/C][C]NA[/C][C]NA[/C][C]-0.172536[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]3[/C][C]0.687583[/C][C]0.625[/C][C]0.0625827[/C][C]2.31242[/C][/ROW]
[ROW][C]8[/C][C]5[/C][C]6.77092[/C][C]2.75[/C][C]4.02092[/C][C]-1.77092[/C][/ROW]
[ROW][C]9[/C][C]8[/C][C]6.28877[/C][C]4.54167[/C][C]1.74711[/C][C]1.71123[/C][/ROW]
[ROW][C]10[/C][C]5[/C][C]4.15385[/C][C]6.08333[/C][C]-1.92948[/C][C]0.846147[/C][/ROW]
[ROW][C]11[/C][C]3[/C][C]5.63996[/C][C]7.5[/C][C]-1.86004[/C][C]-2.63996[/C][/ROW]
[ROW][C]12[/C][C]6[/C][C]8.04274[/C][C]8.75[/C][C]-0.707259[/C][C]-2.04274[/C][/ROW]
[ROW][C]13[/C][C]15[/C][C]12.015[/C][C]9.83333[/C][C]2.18163[/C][C]2.98504[/C][/ROW]
[ROW][C]14[/C][C]12[/C][C]8.82746[/C][C]10.7917[/C][C]-1.9642[/C][C]3.17254[/C][/ROW]
[ROW][C]15[/C][C]11[/C][C]8.43163[/C][C]10.875[/C][C]-2.44337[/C][C]2.56837[/C][/ROW]
[ROW][C]16[/C][C]12[/C][C]10.4941[/C][C]10.0833[/C][C]0.410797[/C][C]1.50587[/C][/ROW]
[ROW][C]17[/C][C]14[/C][C]9.94552[/C][C]9.29167[/C][C]0.653853[/C][C]4.05448[/C][/ROW]
[ROW][C]18[/C][C]18[/C][C]8.2858[/C][C]8.45833[/C][C]-0.172536[/C][C]9.7142[/C][/ROW]
[ROW][C]19[/C][C]15[/C][C]7.35425[/C][C]7.29167[/C][C]0.0625827[/C][C]7.64575[/C][/ROW]
[ROW][C]20[/C][C]16[/C][C]9.72925[/C][C]5.70833[/C][C]4.02092[/C][C]6.27075[/C][/ROW]
[ROW][C]21[/C][C]-1[/C][C]5.74711[/C][C]4[/C][C]1.74711[/C][C]-6.74711[/C][/ROW]
[ROW][C]22[/C][C]-5[/C][C]0.237186[/C][C]2.16667[/C][C]-1.92948[/C][C]-5.23719[/C][/ROW]
[ROW][C]23[/C][C]-6[/C][C]-1.94337[/C][C]-0.0833333[/C][C]-1.86004[/C][C]-4.05663[/C][/ROW]
[ROW][C]24[/C][C]-5[/C][C]-3.58226[/C][C]-2.875[/C][C]-0.707259[/C][C]-1.41774[/C][/ROW]
[ROW][C]25[/C][C]-2[/C][C]-4.11004[/C][C]-6.29167[/C][C]2.18163[/C][C]2.11004[/C][/ROW]
[ROW][C]26[/C][C]-9[/C][C]-11.8809[/C][C]-9.91667[/C][C]-1.9642[/C][C]2.88087[/C][/ROW]
[ROW][C]27[/C][C]-9[/C][C]-14.985[/C][C]-12.5417[/C][C]-2.44337[/C][C]5.98504[/C][/ROW]
[ROW][C]28[/C][C]-12[/C][C]-14.0892[/C][C]-14.5[/C][C]0.410797[/C][C]2.0892[/C][/ROW]
[ROW][C]29[/C][C]-16[/C][C]-16.0545[/C][C]-16.7083[/C][C]0.653853[/C][C]0.0544808[/C][/ROW]
[ROW][C]30[/C][C]-19[/C][C]-19.0892[/C][C]-18.9167[/C][C]-0.172536[/C][C]0.089203[/C][/ROW]
[ROW][C]31[/C][C]-30[/C][C]-20.9791[/C][C]-21.0417[/C][C]0.0625827[/C][C]-9.02092[/C][/ROW]
[ROW][C]32[/C][C]-26[/C][C]-18.8958[/C][C]-22.9167[/C][C]4.02092[/C][C]-7.10425[/C][/ROW]
[ROW][C]33[/C][C]-22[/C][C]-23.0029[/C][C]-24.75[/C][C]1.74711[/C][C]1.00289[/C][/ROW]
[ROW][C]34[/C][C]-31[/C][C]-28.3045[/C][C]-26.375[/C][C]-1.92948[/C][C]-2.69552[/C][/ROW]
[ROW][C]35[/C][C]-33[/C][C]-29.11[/C][C]-27.25[/C][C]-1.86004[/C][C]-3.88996[/C][/ROW]
[ROW][C]36[/C][C]-31[/C][C]-28.3739[/C][C]-27.6667[/C][C]-0.707259[/C][C]-2.62607[/C][/ROW]
[ROW][C]37[/C][C]-27[/C][C]-25.36[/C][C]-27.5417[/C][C]2.18163[/C][C]-1.63996[/C][/ROW]
[ROW][C]38[/C][C]-29[/C][C]-28.7559[/C][C]-26.7917[/C][C]-1.9642[/C][C]-0.24413[/C][/ROW]
[ROW][C]39[/C][C]-33[/C][C]-28.485[/C][C]-26.0417[/C][C]-2.44337[/C][C]-4.51496[/C][/ROW]
[ROW][C]40[/C][C]-27[/C][C]-25.0475[/C][C]-25.4583[/C][C]0.410797[/C][C]-1.95246[/C][/ROW]
[ROW][C]41[/C][C]-22[/C][C]-23.8878[/C][C]-24.5417[/C][C]0.653853[/C][C]1.88781[/C][/ROW]
[ROW][C]42[/C][C]-23[/C][C]-23.3809[/C][C]-23.2083[/C][C]-0.172536[/C][C]0.38087[/C][/ROW]
[ROW][C]43[/C][C]-23[/C][C]-21.6041[/C][C]-21.6667[/C][C]0.0625827[/C][C]-1.39592[/C][/ROW]
[ROW][C]44[/C][C]-15[/C][C]-16.1041[/C][C]-20.125[/C][C]4.02092[/C][C]1.10408[/C][/ROW]
[ROW][C]45[/C][C]-15[/C][C]-16.7946[/C][C]-18.5417[/C][C]1.74711[/C][C]1.79456[/C][/ROW]
[ROW][C]46[/C][C]-24[/C][C]-19.0961[/C][C]-17.1667[/C][C]-1.92948[/C][C]-4.90385[/C][/ROW]
[ROW][C]47[/C][C]-18[/C][C]-18.2767[/C][C]-16.4167[/C][C]-1.86004[/C][C]0.276703[/C][/ROW]
[ROW][C]48[/C][C]-14[/C][C]-16.6239[/C][C]-15.9167[/C][C]-0.707259[/C][C]2.62393[/C][/ROW]
[ROW][C]49[/C][C]-7[/C][C]-13.0684[/C][C]-15.25[/C][C]2.18163[/C][C]6.06837[/C][/ROW]
[ROW][C]50[/C][C]-12[/C][C]-16.5059[/C][C]-14.5417[/C][C]-1.9642[/C][C]4.50587[/C][/ROW]
[ROW][C]51[/C][C]-12[/C][C]-16.61[/C][C]-14.1667[/C][C]-2.44337[/C][C]4.61004[/C][/ROW]
[ROW][C]52[/C][C]-15[/C][C]-13.2142[/C][C]-13.625[/C][C]0.410797[/C][C]-1.7858[/C][/ROW]
[ROW][C]53[/C][C]-16[/C][C]-12.2211[/C][C]-12.875[/C][C]0.653853[/C][C]-3.77885[/C][/ROW]
[ROW][C]54[/C][C]-17[/C][C]-12.8392[/C][C]-12.6667[/C][C]-0.172536[/C][C]-4.1608[/C][/ROW]
[ROW][C]55[/C][C]-13[/C][C]-13.8124[/C][C]-13.875[/C][C]0.0625827[/C][C]0.812417[/C][/ROW]
[ROW][C]56[/C][C]-8[/C][C]-11.9374[/C][C]-15.9583[/C][C]4.02092[/C][C]3.93742[/C][/ROW]
[ROW][C]57[/C][C]-13[/C][C]-16.2529[/C][C]-18[/C][C]1.74711[/C][C]3.25289[/C][/ROW]
[ROW][C]58[/C][C]-13[/C][C]-21.7211[/C][C]-19.7917[/C][C]-1.92948[/C][C]8.72115[/C][/ROW]
[ROW][C]59[/C][C]-11[/C][C]-23.235[/C][C]-21.375[/C][C]-1.86004[/C][C]12.235[/C][/ROW]
[ROW][C]60[/C][C]-16[/C][C]-23.8739[/C][C]-23.1667[/C][C]-0.707259[/C][C]7.87393[/C][/ROW]
[ROW][C]61[/C][C]-34[/C][C]-22.6517[/C][C]-24.8333[/C][C]2.18163[/C][C]-11.3483[/C][/ROW]
[ROW][C]62[/C][C]-35[/C][C]-28.4642[/C][C]-26.5[/C][C]-1.9642[/C][C]-6.5358[/C][/ROW]
[ROW][C]63[/C][C]-38[/C][C]-30.5267[/C][C]-28.0833[/C][C]-2.44337[/C][C]-7.4733[/C][/ROW]
[ROW][C]64[/C][C]-32[/C][C]-29.2975[/C][C]-29.7083[/C][C]0.410797[/C][C]-2.70246[/C][/ROW]
[ROW][C]65[/C][C]-37[/C][C]-31.2628[/C][C]-31.9167[/C][C]0.653853[/C][C]-5.73719[/C][/ROW]
[ROW][C]66[/C][C]-39[/C][C]-34.4225[/C][C]-34.25[/C][C]-0.172536[/C][C]-4.57746[/C][/ROW]
[ROW][C]67[/C][C]-31[/C][C]-35.2291[/C][C]-35.2917[/C][C]0.0625827[/C][C]4.22908[/C][/ROW]
[ROW][C]68[/C][C]-30[/C][C]-31.5624[/C][C]-35.5833[/C][C]4.02092[/C][C]1.56242[/C][/ROW]
[ROW][C]69[/C][C]-29[/C][C]-34.2946[/C][C]-36.0417[/C][C]1.74711[/C][C]5.29456[/C][/ROW]
[ROW][C]70[/C][C]-36[/C][C]-38.1795[/C][C]-36.25[/C][C]-1.92948[/C][C]2.17948[/C][/ROW]
[ROW][C]71[/C][C]-41[/C][C]-37.985[/C][C]-36.125[/C][C]-1.86004[/C][C]-3.01496[/C][/ROW]
[ROW][C]72[/C][C]-42[/C][C]-36.4989[/C][C]-35.7917[/C][C]-0.707259[/C][C]-5.50107[/C][/ROW]
[ROW][C]73[/C][C]-33[/C][C]-33.735[/C][C]-35.9167[/C][C]2.18163[/C][C]0.735036[/C][/ROW]
[ROW][C]74[/C][C]-43[/C][C]-38.1309[/C][C]-36.1667[/C][C]-1.9642[/C][C]-4.86913[/C][/ROW]
[ROW][C]75[/C][C]-41[/C][C]-38.735[/C][C]-36.2917[/C][C]-2.44337[/C][C]-2.26496[/C][/ROW]
[ROW][C]76[/C][C]-34[/C][C]-35.7559[/C][C]-36.1667[/C][C]0.410797[/C][C]1.75587[/C][/ROW]
[ROW][C]77[/C][C]-32[/C][C]-34.4295[/C][C]-35.0833[/C][C]0.653853[/C][C]2.42948[/C][/ROW]
[ROW][C]78[/C][C]-36[/C][C]-33.4642[/C][C]-33.2917[/C][C]-0.172536[/C][C]-2.5358[/C][/ROW]
[ROW][C]79[/C][C]-37[/C][C]-31.1458[/C][C]-31.2083[/C][C]0.0625827[/C][C]-5.85425[/C][/ROW]
[ROW][C]80[/C][C]-30[/C][C]-24.7291[/C][C]-28.75[/C][C]4.02092[/C][C]-5.27092[/C][/ROW]
[ROW][C]81[/C][C]-32[/C][C]-24.4196[/C][C]-26.1667[/C][C]1.74711[/C][C]-7.58044[/C][/ROW]
[ROW][C]82[/C][C]-30[/C][C]NA[/C][C]NA[/C][C]-1.92948[/C][C]NA[/C][/ROW]
[ROW][C]83[/C][C]-21[/C][C]NA[/C][C]NA[/C][C]-1.86004[/C][C]NA[/C][/ROW]
[ROW][C]84[/C][C]-19[/C][C]NA[/C][C]NA[/C][C]-0.707259[/C][C]NA[/C][/ROW]
[ROW][C]85[/C][C]-6[/C][C]NA[/C][C]NA[/C][C]2.18163[/C][C]NA[/C][/ROW]
[ROW][C]86[/C][C]-11[/C][C]NA[/C][C]NA[/C][C]-1.9642[/C][C]NA[/C][/ROW]
[ROW][C]87[/C][C]-11[/C][C]NA[/C][C]NA[/C][C]-2.44337[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=284570&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=284570&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
1-12NANA2.18163NA
2-12NANA-1.9642NA
3-8NANA-2.44337NA
4-6NANA0.410797NA
5-2NANA0.653853NA
64NANA-0.172536NA
730.6875830.6250.06258272.31242
856.770922.754.02092-1.77092
986.288774.541671.747111.71123
1054.153856.08333-1.929480.846147
1135.639967.5-1.86004-2.63996
1268.042748.75-0.707259-2.04274
131512.0159.833332.181632.98504
14128.8274610.7917-1.96423.17254
15118.4316310.875-2.443372.56837
161210.494110.08330.4107971.50587
17149.945529.291670.6538534.05448
18188.28588.45833-0.1725369.7142
19157.354257.291670.06258277.64575
20169.729255.708334.020926.27075
21-15.7471141.74711-6.74711
22-50.2371862.16667-1.92948-5.23719
23-6-1.94337-0.0833333-1.86004-4.05663
24-5-3.58226-2.875-0.707259-1.41774
25-2-4.11004-6.291672.181632.11004
26-9-11.8809-9.91667-1.96422.88087
27-9-14.985-12.5417-2.443375.98504
28-12-14.0892-14.50.4107972.0892
29-16-16.0545-16.70830.6538530.0544808
30-19-19.0892-18.9167-0.1725360.089203
31-30-20.9791-21.04170.0625827-9.02092
32-26-18.8958-22.91674.02092-7.10425
33-22-23.0029-24.751.747111.00289
34-31-28.3045-26.375-1.92948-2.69552
35-33-29.11-27.25-1.86004-3.88996
36-31-28.3739-27.6667-0.707259-2.62607
37-27-25.36-27.54172.18163-1.63996
38-29-28.7559-26.7917-1.9642-0.24413
39-33-28.485-26.0417-2.44337-4.51496
40-27-25.0475-25.45830.410797-1.95246
41-22-23.8878-24.54170.6538531.88781
42-23-23.3809-23.2083-0.1725360.38087
43-23-21.6041-21.66670.0625827-1.39592
44-15-16.1041-20.1254.020921.10408
45-15-16.7946-18.54171.747111.79456
46-24-19.0961-17.1667-1.92948-4.90385
47-18-18.2767-16.4167-1.860040.276703
48-14-16.6239-15.9167-0.7072592.62393
49-7-13.0684-15.252.181636.06837
50-12-16.5059-14.5417-1.96424.50587
51-12-16.61-14.1667-2.443374.61004
52-15-13.2142-13.6250.410797-1.7858
53-16-12.2211-12.8750.653853-3.77885
54-17-12.8392-12.6667-0.172536-4.1608
55-13-13.8124-13.8750.06258270.812417
56-8-11.9374-15.95834.020923.93742
57-13-16.2529-181.747113.25289
58-13-21.7211-19.7917-1.929488.72115
59-11-23.235-21.375-1.8600412.235
60-16-23.8739-23.1667-0.7072597.87393
61-34-22.6517-24.83332.18163-11.3483
62-35-28.4642-26.5-1.9642-6.5358
63-38-30.5267-28.0833-2.44337-7.4733
64-32-29.2975-29.70830.410797-2.70246
65-37-31.2628-31.91670.653853-5.73719
66-39-34.4225-34.25-0.172536-4.57746
67-31-35.2291-35.29170.06258274.22908
68-30-31.5624-35.58334.020921.56242
69-29-34.2946-36.04171.747115.29456
70-36-38.1795-36.25-1.929482.17948
71-41-37.985-36.125-1.86004-3.01496
72-42-36.4989-35.7917-0.707259-5.50107
73-33-33.735-35.91672.181630.735036
74-43-38.1309-36.1667-1.9642-4.86913
75-41-38.735-36.2917-2.44337-2.26496
76-34-35.7559-36.16670.4107971.75587
77-32-34.4295-35.08330.6538532.42948
78-36-33.4642-33.2917-0.172536-2.5358
79-37-31.1458-31.20830.0625827-5.85425
80-30-24.7291-28.754.02092-5.27092
81-32-24.4196-26.16671.74711-7.58044
82-30NANA-1.92948NA
83-21NANA-1.86004NA
84-19NANA-0.707259NA
85-6NANA2.18163NA
86-11NANA-1.9642NA
87-11NANA-2.44337NA



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')