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R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationMon, 05 Jan 2015 12:57:13 +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/Jan/05/t1420462661vsq4l7bpc578xtc.htm/, Retrieved Tue, 14 May 2024 14:45:41 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=271956, Retrieved Tue, 14 May 2024 14:45:41 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact119
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [] [2015-01-05 12:57:13] [bdca4dcc63d0690a1e5c4820657ce42d] [Current]
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Dataseries X:
55.7
59.2
59.8
61.6
65.8
64.2
67
62.8
65.5
75.2
80.9
83.2
83.7
86.4
85.9
80.4
81.8
87.5
83.7
87
99.7
101.4
101.9
115.7
123.2
136.9
146.8
149.6
146.5
157
147.9
133.6
128.7
100.8
91.8
89.3
96.7
91.6
93.3
93.3
101
100.4
86.9
83.9
80.3
87.7
92.7
95.5
92
87.4
86.8
83.7
85
81.7
90.9
101.5
113.8
120.1
122.1
132.5
140
149.4
144.3
154.4
151.4
145.5
136.8
146.6
145.1
133.6
131.4
127.5
130.1
131.1
132.3
128.6
125.1
128.7
156.1
163.2
159.8
157.4
156.2
152.5
149.4
145.9
144.8
135.9
137.6
136
117.7
111.5
107.8
107.3
102.6
101
98.3
102.7
110.8
112.8
113.4
104.3
93.8
90.5




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=271956&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=271956&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=271956&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
155.7NANA1.00557NA
259.2NANA1.01912NA
359.8NANA1.02421NA
461.6NANA1.00542NA
565.8NANA1.01025NA
664.2NANA1.01857NA
76767.23367.90830.9900560.996534
862.869.052870.20830.9835420.909449
965.571.995772.42920.9940150.909777
1075.272.858374.30.9805961.03214
1180.973.913775.750.9757591.09452
1283.276.837977.38750.9928981.0828
1383.779.494579.05421.005571.0529
1486.482.302480.75831.019121.04979
1585.985.205483.19171.024211.00815
1680.486.173385.70831.005420.933004
1781.888.573587.6751.010250.923527
1887.591.573489.90421.018570.955518
1983.791.980392.90420.9900560.909978
208795.063496.65420.9835420.915179
2199.7100.69101.2960.9940150.990172
22101.4104.646106.7170.9805960.968982
23101.9109.574112.2960.9757590.929968
24115.7117.05117.8870.9928980.988465
25123.2124.146123.4581.005570.992379
26136.9130.524128.0751.019121.04885
27146.8134.401131.2251.024211.09225
28149.6133.127132.4081.005421.12374
29146.5133.315131.9621.010251.0989
30157132.864130.4421.018571.18166
31147.9126.962128.2370.9900561.16491
32133.6123.185125.2460.9835421.08455
33128.7120.404121.1290.9940151.0689
34100.8114.293116.5540.9805960.881948
3591.8109.59112.3120.9757590.837668
3689.3107.291108.0580.9928980.832317
3796.7103.733103.1581.005570.932201
3891.6100.4398.54581.019120.912078
3993.396.744894.45831.024210.964393
4093.392.394391.89581.005421.0098
4110192.32491.38751.010251.09397
42100.493.385691.68331.018571.07511
4386.990.833591.74580.9900560.956696
4483.989.871191.3750.9835420.933559
4580.390.38590.92920.9940150.888422
4687.788.506990.25830.9805960.990883
4792.787.029589.19170.9757591.06516
4895.587.122687.74580.9928981.09616
499287.618787.13331.005571.05
5087.489.716588.03331.019120.974179
5186.892.34590.16251.024210.939954
5283.793.412392.90831.005420.896027
538596.461895.48331.010250.881178
5481.7100.07498.251.018570.816394
5590.9100.779101.7920.9900560.90197
56101.5104.624106.3750.9835420.970138
57113.8110.688111.3540.9940151.02812
58120.1114.431116.6960.9805961.04954
59122.1119.441122.4080.9757591.02226
60132.5126.925127.8330.9928981.04392
61140133.142132.4041.005571.05151
62149.4138.8136.1961.019121.07637
63144.3142.753139.3791.024211.01084
64154.4142.012141.2461.005421.08723
65151.4143.653142.1961.010251.05393
66145.5145.018142.3751.018571.00332
67136.8140.345141.7540.9900560.974744
68146.6138.265140.5790.9835421.06028
69145.1138.483139.3170.9940151.04778
70133.6135.069137.7420.9805960.989125
71131.4132.284135.5710.9757590.993314
72127.5132.825133.7750.9928980.95991
73130.1134.625133.8791.005570.966389
74131.1137.963135.3751.019120.950252
75132.3139.988136.6791.024210.945084
76128.6139.033138.2831.005420.924957
77125.1141.746140.3081.010250.882564
78128.7145.027142.3831.018570.887421
79156.1142.795144.2290.9900561.09318
80163.2143.253145.650.9835421.13924
81159.8145.909146.7870.9940151.0952
82157.4144.748147.6120.9805961.08741
83156.2144.839148.4370.9757591.07844
84152.5148.202149.2620.9928981.029
85149.4148.791147.9671.005571.00409
86145.9146.97144.2121.019120.992721
87144.8143.278139.8921.024211.01062
88135.9136.373135.6381.005420.996529
89137.6132.662131.3171.010251.03722
90136129.294126.9381.018571.05186
91117.7121.443122.6620.9900560.969181
92111.5116.779118.7330.9835420.954793
93107.8114.825115.5170.9940150.938818
94107.3110.942113.1380.9805960.967171
95102.6108.472111.1670.9757590.945868
96101108.065108.8380.9928980.934627
9798.3107.114106.5211.005570.917712
98102.7106.651104.651.019120.962955
99110.8NANA1.02421NA
100112.8NANA1.00542NA
101113.4NANA1.01025NA
102104.3NANA1.01857NA
10393.8NANA0.990056NA
10490.5NANA0.983542NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 55.7 & NA & NA & 1.00557 & NA \tabularnewline
2 & 59.2 & NA & NA & 1.01912 & NA \tabularnewline
3 & 59.8 & NA & NA & 1.02421 & NA \tabularnewline
4 & 61.6 & NA & NA & 1.00542 & NA \tabularnewline
5 & 65.8 & NA & NA & 1.01025 & NA \tabularnewline
6 & 64.2 & NA & NA & 1.01857 & NA \tabularnewline
7 & 67 & 67.233 & 67.9083 & 0.990056 & 0.996534 \tabularnewline
8 & 62.8 & 69.0528 & 70.2083 & 0.983542 & 0.909449 \tabularnewline
9 & 65.5 & 71.9957 & 72.4292 & 0.994015 & 0.909777 \tabularnewline
10 & 75.2 & 72.8583 & 74.3 & 0.980596 & 1.03214 \tabularnewline
11 & 80.9 & 73.9137 & 75.75 & 0.975759 & 1.09452 \tabularnewline
12 & 83.2 & 76.8379 & 77.3875 & 0.992898 & 1.0828 \tabularnewline
13 & 83.7 & 79.4945 & 79.0542 & 1.00557 & 1.0529 \tabularnewline
14 & 86.4 & 82.3024 & 80.7583 & 1.01912 & 1.04979 \tabularnewline
15 & 85.9 & 85.2054 & 83.1917 & 1.02421 & 1.00815 \tabularnewline
16 & 80.4 & 86.1733 & 85.7083 & 1.00542 & 0.933004 \tabularnewline
17 & 81.8 & 88.5735 & 87.675 & 1.01025 & 0.923527 \tabularnewline
18 & 87.5 & 91.5734 & 89.9042 & 1.01857 & 0.955518 \tabularnewline
19 & 83.7 & 91.9803 & 92.9042 & 0.990056 & 0.909978 \tabularnewline
20 & 87 & 95.0634 & 96.6542 & 0.983542 & 0.915179 \tabularnewline
21 & 99.7 & 100.69 & 101.296 & 0.994015 & 0.990172 \tabularnewline
22 & 101.4 & 104.646 & 106.717 & 0.980596 & 0.968982 \tabularnewline
23 & 101.9 & 109.574 & 112.296 & 0.975759 & 0.929968 \tabularnewline
24 & 115.7 & 117.05 & 117.887 & 0.992898 & 0.988465 \tabularnewline
25 & 123.2 & 124.146 & 123.458 & 1.00557 & 0.992379 \tabularnewline
26 & 136.9 & 130.524 & 128.075 & 1.01912 & 1.04885 \tabularnewline
27 & 146.8 & 134.401 & 131.225 & 1.02421 & 1.09225 \tabularnewline
28 & 149.6 & 133.127 & 132.408 & 1.00542 & 1.12374 \tabularnewline
29 & 146.5 & 133.315 & 131.962 & 1.01025 & 1.0989 \tabularnewline
30 & 157 & 132.864 & 130.442 & 1.01857 & 1.18166 \tabularnewline
31 & 147.9 & 126.962 & 128.237 & 0.990056 & 1.16491 \tabularnewline
32 & 133.6 & 123.185 & 125.246 & 0.983542 & 1.08455 \tabularnewline
33 & 128.7 & 120.404 & 121.129 & 0.994015 & 1.0689 \tabularnewline
34 & 100.8 & 114.293 & 116.554 & 0.980596 & 0.881948 \tabularnewline
35 & 91.8 & 109.59 & 112.312 & 0.975759 & 0.837668 \tabularnewline
36 & 89.3 & 107.291 & 108.058 & 0.992898 & 0.832317 \tabularnewline
37 & 96.7 & 103.733 & 103.158 & 1.00557 & 0.932201 \tabularnewline
38 & 91.6 & 100.43 & 98.5458 & 1.01912 & 0.912078 \tabularnewline
39 & 93.3 & 96.7448 & 94.4583 & 1.02421 & 0.964393 \tabularnewline
40 & 93.3 & 92.3943 & 91.8958 & 1.00542 & 1.0098 \tabularnewline
41 & 101 & 92.324 & 91.3875 & 1.01025 & 1.09397 \tabularnewline
42 & 100.4 & 93.3856 & 91.6833 & 1.01857 & 1.07511 \tabularnewline
43 & 86.9 & 90.8335 & 91.7458 & 0.990056 & 0.956696 \tabularnewline
44 & 83.9 & 89.8711 & 91.375 & 0.983542 & 0.933559 \tabularnewline
45 & 80.3 & 90.385 & 90.9292 & 0.994015 & 0.888422 \tabularnewline
46 & 87.7 & 88.5069 & 90.2583 & 0.980596 & 0.990883 \tabularnewline
47 & 92.7 & 87.0295 & 89.1917 & 0.975759 & 1.06516 \tabularnewline
48 & 95.5 & 87.1226 & 87.7458 & 0.992898 & 1.09616 \tabularnewline
49 & 92 & 87.6187 & 87.1333 & 1.00557 & 1.05 \tabularnewline
50 & 87.4 & 89.7165 & 88.0333 & 1.01912 & 0.974179 \tabularnewline
51 & 86.8 & 92.345 & 90.1625 & 1.02421 & 0.939954 \tabularnewline
52 & 83.7 & 93.4123 & 92.9083 & 1.00542 & 0.896027 \tabularnewline
53 & 85 & 96.4618 & 95.4833 & 1.01025 & 0.881178 \tabularnewline
54 & 81.7 & 100.074 & 98.25 & 1.01857 & 0.816394 \tabularnewline
55 & 90.9 & 100.779 & 101.792 & 0.990056 & 0.90197 \tabularnewline
56 & 101.5 & 104.624 & 106.375 & 0.983542 & 0.970138 \tabularnewline
57 & 113.8 & 110.688 & 111.354 & 0.994015 & 1.02812 \tabularnewline
58 & 120.1 & 114.431 & 116.696 & 0.980596 & 1.04954 \tabularnewline
59 & 122.1 & 119.441 & 122.408 & 0.975759 & 1.02226 \tabularnewline
60 & 132.5 & 126.925 & 127.833 & 0.992898 & 1.04392 \tabularnewline
61 & 140 & 133.142 & 132.404 & 1.00557 & 1.05151 \tabularnewline
62 & 149.4 & 138.8 & 136.196 & 1.01912 & 1.07637 \tabularnewline
63 & 144.3 & 142.753 & 139.379 & 1.02421 & 1.01084 \tabularnewline
64 & 154.4 & 142.012 & 141.246 & 1.00542 & 1.08723 \tabularnewline
65 & 151.4 & 143.653 & 142.196 & 1.01025 & 1.05393 \tabularnewline
66 & 145.5 & 145.018 & 142.375 & 1.01857 & 1.00332 \tabularnewline
67 & 136.8 & 140.345 & 141.754 & 0.990056 & 0.974744 \tabularnewline
68 & 146.6 & 138.265 & 140.579 & 0.983542 & 1.06028 \tabularnewline
69 & 145.1 & 138.483 & 139.317 & 0.994015 & 1.04778 \tabularnewline
70 & 133.6 & 135.069 & 137.742 & 0.980596 & 0.989125 \tabularnewline
71 & 131.4 & 132.284 & 135.571 & 0.975759 & 0.993314 \tabularnewline
72 & 127.5 & 132.825 & 133.775 & 0.992898 & 0.95991 \tabularnewline
73 & 130.1 & 134.625 & 133.879 & 1.00557 & 0.966389 \tabularnewline
74 & 131.1 & 137.963 & 135.375 & 1.01912 & 0.950252 \tabularnewline
75 & 132.3 & 139.988 & 136.679 & 1.02421 & 0.945084 \tabularnewline
76 & 128.6 & 139.033 & 138.283 & 1.00542 & 0.924957 \tabularnewline
77 & 125.1 & 141.746 & 140.308 & 1.01025 & 0.882564 \tabularnewline
78 & 128.7 & 145.027 & 142.383 & 1.01857 & 0.887421 \tabularnewline
79 & 156.1 & 142.795 & 144.229 & 0.990056 & 1.09318 \tabularnewline
80 & 163.2 & 143.253 & 145.65 & 0.983542 & 1.13924 \tabularnewline
81 & 159.8 & 145.909 & 146.787 & 0.994015 & 1.0952 \tabularnewline
82 & 157.4 & 144.748 & 147.612 & 0.980596 & 1.08741 \tabularnewline
83 & 156.2 & 144.839 & 148.437 & 0.975759 & 1.07844 \tabularnewline
84 & 152.5 & 148.202 & 149.262 & 0.992898 & 1.029 \tabularnewline
85 & 149.4 & 148.791 & 147.967 & 1.00557 & 1.00409 \tabularnewline
86 & 145.9 & 146.97 & 144.212 & 1.01912 & 0.992721 \tabularnewline
87 & 144.8 & 143.278 & 139.892 & 1.02421 & 1.01062 \tabularnewline
88 & 135.9 & 136.373 & 135.638 & 1.00542 & 0.996529 \tabularnewline
89 & 137.6 & 132.662 & 131.317 & 1.01025 & 1.03722 \tabularnewline
90 & 136 & 129.294 & 126.938 & 1.01857 & 1.05186 \tabularnewline
91 & 117.7 & 121.443 & 122.662 & 0.990056 & 0.969181 \tabularnewline
92 & 111.5 & 116.779 & 118.733 & 0.983542 & 0.954793 \tabularnewline
93 & 107.8 & 114.825 & 115.517 & 0.994015 & 0.938818 \tabularnewline
94 & 107.3 & 110.942 & 113.138 & 0.980596 & 0.967171 \tabularnewline
95 & 102.6 & 108.472 & 111.167 & 0.975759 & 0.945868 \tabularnewline
96 & 101 & 108.065 & 108.838 & 0.992898 & 0.934627 \tabularnewline
97 & 98.3 & 107.114 & 106.521 & 1.00557 & 0.917712 \tabularnewline
98 & 102.7 & 106.651 & 104.65 & 1.01912 & 0.962955 \tabularnewline
99 & 110.8 & NA & NA & 1.02421 & NA \tabularnewline
100 & 112.8 & NA & NA & 1.00542 & NA \tabularnewline
101 & 113.4 & NA & NA & 1.01025 & NA \tabularnewline
102 & 104.3 & NA & NA & 1.01857 & NA \tabularnewline
103 & 93.8 & NA & NA & 0.990056 & NA \tabularnewline
104 & 90.5 & NA & NA & 0.983542 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=271956&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]55.7[/C][C]NA[/C][C]NA[/C][C]1.00557[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]59.2[/C][C]NA[/C][C]NA[/C][C]1.01912[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]59.8[/C][C]NA[/C][C]NA[/C][C]1.02421[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]61.6[/C][C]NA[/C][C]NA[/C][C]1.00542[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]65.8[/C][C]NA[/C][C]NA[/C][C]1.01025[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]64.2[/C][C]NA[/C][C]NA[/C][C]1.01857[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]67[/C][C]67.233[/C][C]67.9083[/C][C]0.990056[/C][C]0.996534[/C][/ROW]
[ROW][C]8[/C][C]62.8[/C][C]69.0528[/C][C]70.2083[/C][C]0.983542[/C][C]0.909449[/C][/ROW]
[ROW][C]9[/C][C]65.5[/C][C]71.9957[/C][C]72.4292[/C][C]0.994015[/C][C]0.909777[/C][/ROW]
[ROW][C]10[/C][C]75.2[/C][C]72.8583[/C][C]74.3[/C][C]0.980596[/C][C]1.03214[/C][/ROW]
[ROW][C]11[/C][C]80.9[/C][C]73.9137[/C][C]75.75[/C][C]0.975759[/C][C]1.09452[/C][/ROW]
[ROW][C]12[/C][C]83.2[/C][C]76.8379[/C][C]77.3875[/C][C]0.992898[/C][C]1.0828[/C][/ROW]
[ROW][C]13[/C][C]83.7[/C][C]79.4945[/C][C]79.0542[/C][C]1.00557[/C][C]1.0529[/C][/ROW]
[ROW][C]14[/C][C]86.4[/C][C]82.3024[/C][C]80.7583[/C][C]1.01912[/C][C]1.04979[/C][/ROW]
[ROW][C]15[/C][C]85.9[/C][C]85.2054[/C][C]83.1917[/C][C]1.02421[/C][C]1.00815[/C][/ROW]
[ROW][C]16[/C][C]80.4[/C][C]86.1733[/C][C]85.7083[/C][C]1.00542[/C][C]0.933004[/C][/ROW]
[ROW][C]17[/C][C]81.8[/C][C]88.5735[/C][C]87.675[/C][C]1.01025[/C][C]0.923527[/C][/ROW]
[ROW][C]18[/C][C]87.5[/C][C]91.5734[/C][C]89.9042[/C][C]1.01857[/C][C]0.955518[/C][/ROW]
[ROW][C]19[/C][C]83.7[/C][C]91.9803[/C][C]92.9042[/C][C]0.990056[/C][C]0.909978[/C][/ROW]
[ROW][C]20[/C][C]87[/C][C]95.0634[/C][C]96.6542[/C][C]0.983542[/C][C]0.915179[/C][/ROW]
[ROW][C]21[/C][C]99.7[/C][C]100.69[/C][C]101.296[/C][C]0.994015[/C][C]0.990172[/C][/ROW]
[ROW][C]22[/C][C]101.4[/C][C]104.646[/C][C]106.717[/C][C]0.980596[/C][C]0.968982[/C][/ROW]
[ROW][C]23[/C][C]101.9[/C][C]109.574[/C][C]112.296[/C][C]0.975759[/C][C]0.929968[/C][/ROW]
[ROW][C]24[/C][C]115.7[/C][C]117.05[/C][C]117.887[/C][C]0.992898[/C][C]0.988465[/C][/ROW]
[ROW][C]25[/C][C]123.2[/C][C]124.146[/C][C]123.458[/C][C]1.00557[/C][C]0.992379[/C][/ROW]
[ROW][C]26[/C][C]136.9[/C][C]130.524[/C][C]128.075[/C][C]1.01912[/C][C]1.04885[/C][/ROW]
[ROW][C]27[/C][C]146.8[/C][C]134.401[/C][C]131.225[/C][C]1.02421[/C][C]1.09225[/C][/ROW]
[ROW][C]28[/C][C]149.6[/C][C]133.127[/C][C]132.408[/C][C]1.00542[/C][C]1.12374[/C][/ROW]
[ROW][C]29[/C][C]146.5[/C][C]133.315[/C][C]131.962[/C][C]1.01025[/C][C]1.0989[/C][/ROW]
[ROW][C]30[/C][C]157[/C][C]132.864[/C][C]130.442[/C][C]1.01857[/C][C]1.18166[/C][/ROW]
[ROW][C]31[/C][C]147.9[/C][C]126.962[/C][C]128.237[/C][C]0.990056[/C][C]1.16491[/C][/ROW]
[ROW][C]32[/C][C]133.6[/C][C]123.185[/C][C]125.246[/C][C]0.983542[/C][C]1.08455[/C][/ROW]
[ROW][C]33[/C][C]128.7[/C][C]120.404[/C][C]121.129[/C][C]0.994015[/C][C]1.0689[/C][/ROW]
[ROW][C]34[/C][C]100.8[/C][C]114.293[/C][C]116.554[/C][C]0.980596[/C][C]0.881948[/C][/ROW]
[ROW][C]35[/C][C]91.8[/C][C]109.59[/C][C]112.312[/C][C]0.975759[/C][C]0.837668[/C][/ROW]
[ROW][C]36[/C][C]89.3[/C][C]107.291[/C][C]108.058[/C][C]0.992898[/C][C]0.832317[/C][/ROW]
[ROW][C]37[/C][C]96.7[/C][C]103.733[/C][C]103.158[/C][C]1.00557[/C][C]0.932201[/C][/ROW]
[ROW][C]38[/C][C]91.6[/C][C]100.43[/C][C]98.5458[/C][C]1.01912[/C][C]0.912078[/C][/ROW]
[ROW][C]39[/C][C]93.3[/C][C]96.7448[/C][C]94.4583[/C][C]1.02421[/C][C]0.964393[/C][/ROW]
[ROW][C]40[/C][C]93.3[/C][C]92.3943[/C][C]91.8958[/C][C]1.00542[/C][C]1.0098[/C][/ROW]
[ROW][C]41[/C][C]101[/C][C]92.324[/C][C]91.3875[/C][C]1.01025[/C][C]1.09397[/C][/ROW]
[ROW][C]42[/C][C]100.4[/C][C]93.3856[/C][C]91.6833[/C][C]1.01857[/C][C]1.07511[/C][/ROW]
[ROW][C]43[/C][C]86.9[/C][C]90.8335[/C][C]91.7458[/C][C]0.990056[/C][C]0.956696[/C][/ROW]
[ROW][C]44[/C][C]83.9[/C][C]89.8711[/C][C]91.375[/C][C]0.983542[/C][C]0.933559[/C][/ROW]
[ROW][C]45[/C][C]80.3[/C][C]90.385[/C][C]90.9292[/C][C]0.994015[/C][C]0.888422[/C][/ROW]
[ROW][C]46[/C][C]87.7[/C][C]88.5069[/C][C]90.2583[/C][C]0.980596[/C][C]0.990883[/C][/ROW]
[ROW][C]47[/C][C]92.7[/C][C]87.0295[/C][C]89.1917[/C][C]0.975759[/C][C]1.06516[/C][/ROW]
[ROW][C]48[/C][C]95.5[/C][C]87.1226[/C][C]87.7458[/C][C]0.992898[/C][C]1.09616[/C][/ROW]
[ROW][C]49[/C][C]92[/C][C]87.6187[/C][C]87.1333[/C][C]1.00557[/C][C]1.05[/C][/ROW]
[ROW][C]50[/C][C]87.4[/C][C]89.7165[/C][C]88.0333[/C][C]1.01912[/C][C]0.974179[/C][/ROW]
[ROW][C]51[/C][C]86.8[/C][C]92.345[/C][C]90.1625[/C][C]1.02421[/C][C]0.939954[/C][/ROW]
[ROW][C]52[/C][C]83.7[/C][C]93.4123[/C][C]92.9083[/C][C]1.00542[/C][C]0.896027[/C][/ROW]
[ROW][C]53[/C][C]85[/C][C]96.4618[/C][C]95.4833[/C][C]1.01025[/C][C]0.881178[/C][/ROW]
[ROW][C]54[/C][C]81.7[/C][C]100.074[/C][C]98.25[/C][C]1.01857[/C][C]0.816394[/C][/ROW]
[ROW][C]55[/C][C]90.9[/C][C]100.779[/C][C]101.792[/C][C]0.990056[/C][C]0.90197[/C][/ROW]
[ROW][C]56[/C][C]101.5[/C][C]104.624[/C][C]106.375[/C][C]0.983542[/C][C]0.970138[/C][/ROW]
[ROW][C]57[/C][C]113.8[/C][C]110.688[/C][C]111.354[/C][C]0.994015[/C][C]1.02812[/C][/ROW]
[ROW][C]58[/C][C]120.1[/C][C]114.431[/C][C]116.696[/C][C]0.980596[/C][C]1.04954[/C][/ROW]
[ROW][C]59[/C][C]122.1[/C][C]119.441[/C][C]122.408[/C][C]0.975759[/C][C]1.02226[/C][/ROW]
[ROW][C]60[/C][C]132.5[/C][C]126.925[/C][C]127.833[/C][C]0.992898[/C][C]1.04392[/C][/ROW]
[ROW][C]61[/C][C]140[/C][C]133.142[/C][C]132.404[/C][C]1.00557[/C][C]1.05151[/C][/ROW]
[ROW][C]62[/C][C]149.4[/C][C]138.8[/C][C]136.196[/C][C]1.01912[/C][C]1.07637[/C][/ROW]
[ROW][C]63[/C][C]144.3[/C][C]142.753[/C][C]139.379[/C][C]1.02421[/C][C]1.01084[/C][/ROW]
[ROW][C]64[/C][C]154.4[/C][C]142.012[/C][C]141.246[/C][C]1.00542[/C][C]1.08723[/C][/ROW]
[ROW][C]65[/C][C]151.4[/C][C]143.653[/C][C]142.196[/C][C]1.01025[/C][C]1.05393[/C][/ROW]
[ROW][C]66[/C][C]145.5[/C][C]145.018[/C][C]142.375[/C][C]1.01857[/C][C]1.00332[/C][/ROW]
[ROW][C]67[/C][C]136.8[/C][C]140.345[/C][C]141.754[/C][C]0.990056[/C][C]0.974744[/C][/ROW]
[ROW][C]68[/C][C]146.6[/C][C]138.265[/C][C]140.579[/C][C]0.983542[/C][C]1.06028[/C][/ROW]
[ROW][C]69[/C][C]145.1[/C][C]138.483[/C][C]139.317[/C][C]0.994015[/C][C]1.04778[/C][/ROW]
[ROW][C]70[/C][C]133.6[/C][C]135.069[/C][C]137.742[/C][C]0.980596[/C][C]0.989125[/C][/ROW]
[ROW][C]71[/C][C]131.4[/C][C]132.284[/C][C]135.571[/C][C]0.975759[/C][C]0.993314[/C][/ROW]
[ROW][C]72[/C][C]127.5[/C][C]132.825[/C][C]133.775[/C][C]0.992898[/C][C]0.95991[/C][/ROW]
[ROW][C]73[/C][C]130.1[/C][C]134.625[/C][C]133.879[/C][C]1.00557[/C][C]0.966389[/C][/ROW]
[ROW][C]74[/C][C]131.1[/C][C]137.963[/C][C]135.375[/C][C]1.01912[/C][C]0.950252[/C][/ROW]
[ROW][C]75[/C][C]132.3[/C][C]139.988[/C][C]136.679[/C][C]1.02421[/C][C]0.945084[/C][/ROW]
[ROW][C]76[/C][C]128.6[/C][C]139.033[/C][C]138.283[/C][C]1.00542[/C][C]0.924957[/C][/ROW]
[ROW][C]77[/C][C]125.1[/C][C]141.746[/C][C]140.308[/C][C]1.01025[/C][C]0.882564[/C][/ROW]
[ROW][C]78[/C][C]128.7[/C][C]145.027[/C][C]142.383[/C][C]1.01857[/C][C]0.887421[/C][/ROW]
[ROW][C]79[/C][C]156.1[/C][C]142.795[/C][C]144.229[/C][C]0.990056[/C][C]1.09318[/C][/ROW]
[ROW][C]80[/C][C]163.2[/C][C]143.253[/C][C]145.65[/C][C]0.983542[/C][C]1.13924[/C][/ROW]
[ROW][C]81[/C][C]159.8[/C][C]145.909[/C][C]146.787[/C][C]0.994015[/C][C]1.0952[/C][/ROW]
[ROW][C]82[/C][C]157.4[/C][C]144.748[/C][C]147.612[/C][C]0.980596[/C][C]1.08741[/C][/ROW]
[ROW][C]83[/C][C]156.2[/C][C]144.839[/C][C]148.437[/C][C]0.975759[/C][C]1.07844[/C][/ROW]
[ROW][C]84[/C][C]152.5[/C][C]148.202[/C][C]149.262[/C][C]0.992898[/C][C]1.029[/C][/ROW]
[ROW][C]85[/C][C]149.4[/C][C]148.791[/C][C]147.967[/C][C]1.00557[/C][C]1.00409[/C][/ROW]
[ROW][C]86[/C][C]145.9[/C][C]146.97[/C][C]144.212[/C][C]1.01912[/C][C]0.992721[/C][/ROW]
[ROW][C]87[/C][C]144.8[/C][C]143.278[/C][C]139.892[/C][C]1.02421[/C][C]1.01062[/C][/ROW]
[ROW][C]88[/C][C]135.9[/C][C]136.373[/C][C]135.638[/C][C]1.00542[/C][C]0.996529[/C][/ROW]
[ROW][C]89[/C][C]137.6[/C][C]132.662[/C][C]131.317[/C][C]1.01025[/C][C]1.03722[/C][/ROW]
[ROW][C]90[/C][C]136[/C][C]129.294[/C][C]126.938[/C][C]1.01857[/C][C]1.05186[/C][/ROW]
[ROW][C]91[/C][C]117.7[/C][C]121.443[/C][C]122.662[/C][C]0.990056[/C][C]0.969181[/C][/ROW]
[ROW][C]92[/C][C]111.5[/C][C]116.779[/C][C]118.733[/C][C]0.983542[/C][C]0.954793[/C][/ROW]
[ROW][C]93[/C][C]107.8[/C][C]114.825[/C][C]115.517[/C][C]0.994015[/C][C]0.938818[/C][/ROW]
[ROW][C]94[/C][C]107.3[/C][C]110.942[/C][C]113.138[/C][C]0.980596[/C][C]0.967171[/C][/ROW]
[ROW][C]95[/C][C]102.6[/C][C]108.472[/C][C]111.167[/C][C]0.975759[/C][C]0.945868[/C][/ROW]
[ROW][C]96[/C][C]101[/C][C]108.065[/C][C]108.838[/C][C]0.992898[/C][C]0.934627[/C][/ROW]
[ROW][C]97[/C][C]98.3[/C][C]107.114[/C][C]106.521[/C][C]1.00557[/C][C]0.917712[/C][/ROW]
[ROW][C]98[/C][C]102.7[/C][C]106.651[/C][C]104.65[/C][C]1.01912[/C][C]0.962955[/C][/ROW]
[ROW][C]99[/C][C]110.8[/C][C]NA[/C][C]NA[/C][C]1.02421[/C][C]NA[/C][/ROW]
[ROW][C]100[/C][C]112.8[/C][C]NA[/C][C]NA[/C][C]1.00542[/C][C]NA[/C][/ROW]
[ROW][C]101[/C][C]113.4[/C][C]NA[/C][C]NA[/C][C]1.01025[/C][C]NA[/C][/ROW]
[ROW][C]102[/C][C]104.3[/C][C]NA[/C][C]NA[/C][C]1.01857[/C][C]NA[/C][/ROW]
[ROW][C]103[/C][C]93.8[/C][C]NA[/C][C]NA[/C][C]0.990056[/C][C]NA[/C][/ROW]
[ROW][C]104[/C][C]90.5[/C][C]NA[/C][C]NA[/C][C]0.983542[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=271956&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=271956&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
155.7NANA1.00557NA
259.2NANA1.01912NA
359.8NANA1.02421NA
461.6NANA1.00542NA
565.8NANA1.01025NA
664.2NANA1.01857NA
76767.23367.90830.9900560.996534
862.869.052870.20830.9835420.909449
965.571.995772.42920.9940150.909777
1075.272.858374.30.9805961.03214
1180.973.913775.750.9757591.09452
1283.276.837977.38750.9928981.0828
1383.779.494579.05421.005571.0529
1486.482.302480.75831.019121.04979
1585.985.205483.19171.024211.00815
1680.486.173385.70831.005420.933004
1781.888.573587.6751.010250.923527
1887.591.573489.90421.018570.955518
1983.791.980392.90420.9900560.909978
208795.063496.65420.9835420.915179
2199.7100.69101.2960.9940150.990172
22101.4104.646106.7170.9805960.968982
23101.9109.574112.2960.9757590.929968
24115.7117.05117.8870.9928980.988465
25123.2124.146123.4581.005570.992379
26136.9130.524128.0751.019121.04885
27146.8134.401131.2251.024211.09225
28149.6133.127132.4081.005421.12374
29146.5133.315131.9621.010251.0989
30157132.864130.4421.018571.18166
31147.9126.962128.2370.9900561.16491
32133.6123.185125.2460.9835421.08455
33128.7120.404121.1290.9940151.0689
34100.8114.293116.5540.9805960.881948
3591.8109.59112.3120.9757590.837668
3689.3107.291108.0580.9928980.832317
3796.7103.733103.1581.005570.932201
3891.6100.4398.54581.019120.912078
3993.396.744894.45831.024210.964393
4093.392.394391.89581.005421.0098
4110192.32491.38751.010251.09397
42100.493.385691.68331.018571.07511
4386.990.833591.74580.9900560.956696
4483.989.871191.3750.9835420.933559
4580.390.38590.92920.9940150.888422
4687.788.506990.25830.9805960.990883
4792.787.029589.19170.9757591.06516
4895.587.122687.74580.9928981.09616
499287.618787.13331.005571.05
5087.489.716588.03331.019120.974179
5186.892.34590.16251.024210.939954
5283.793.412392.90831.005420.896027
538596.461895.48331.010250.881178
5481.7100.07498.251.018570.816394
5590.9100.779101.7920.9900560.90197
56101.5104.624106.3750.9835420.970138
57113.8110.688111.3540.9940151.02812
58120.1114.431116.6960.9805961.04954
59122.1119.441122.4080.9757591.02226
60132.5126.925127.8330.9928981.04392
61140133.142132.4041.005571.05151
62149.4138.8136.1961.019121.07637
63144.3142.753139.3791.024211.01084
64154.4142.012141.2461.005421.08723
65151.4143.653142.1961.010251.05393
66145.5145.018142.3751.018571.00332
67136.8140.345141.7540.9900560.974744
68146.6138.265140.5790.9835421.06028
69145.1138.483139.3170.9940151.04778
70133.6135.069137.7420.9805960.989125
71131.4132.284135.5710.9757590.993314
72127.5132.825133.7750.9928980.95991
73130.1134.625133.8791.005570.966389
74131.1137.963135.3751.019120.950252
75132.3139.988136.6791.024210.945084
76128.6139.033138.2831.005420.924957
77125.1141.746140.3081.010250.882564
78128.7145.027142.3831.018570.887421
79156.1142.795144.2290.9900561.09318
80163.2143.253145.650.9835421.13924
81159.8145.909146.7870.9940151.0952
82157.4144.748147.6120.9805961.08741
83156.2144.839148.4370.9757591.07844
84152.5148.202149.2620.9928981.029
85149.4148.791147.9671.005571.00409
86145.9146.97144.2121.019120.992721
87144.8143.278139.8921.024211.01062
88135.9136.373135.6381.005420.996529
89137.6132.662131.3171.010251.03722
90136129.294126.9381.018571.05186
91117.7121.443122.6620.9900560.969181
92111.5116.779118.7330.9835420.954793
93107.8114.825115.5170.9940150.938818
94107.3110.942113.1380.9805960.967171
95102.6108.472111.1670.9757590.945868
96101108.065108.8380.9928980.934627
9798.3107.114106.5211.005570.917712
98102.7106.651104.651.019120.962955
99110.8NANA1.02421NA
100112.8NANA1.00542NA
101113.4NANA1.01025NA
102104.3NANA1.01857NA
10393.8NANA0.990056NA
10490.5NANA0.983542NA



Parameters (Session):
par1 = multiplicative ; par2 = 12 ;
Parameters (R input):
par1 = multiplicative ; par2 = 12 ;
R code (references can be found in the software module):
par2 <- '12'
par1 <- 'additive'
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')