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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 computationFri, 09 Dec 2016 19:47:06 +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/09/t14813092785rgaab1csijey2h.htm/, Retrieved Sat, 18 May 2024 05:08:33 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=298604, Retrieved Sat, 18 May 2024 05:08:33 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact68
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
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Dataseries X:
1418.7
1344.1
1574.6
1621.6
1887.2
2055.3
1606.8
1494.8
1636
1485.7
1369.7
1333.8
1614.9
1297.3
1226.2
1098.5
1258.5
1065.2
1000.4
1820.2
1224.8
1428.4
1144
1166.9
1902.3
1949.4
1784.5
1671.5
1923.8
1882.8
2165
1826.9
1511.2
2063.1
2169.6
2495.3
2936.9
3076.9
3365.7
3846
3436.2
3561.1
3328
2762.9
2923
2731.1
2571.5
3282.4
4606.5
4698.7
5093.3
4477.3
3850.1
4275.2
3975
4495.9
4042.4
5221.3
2555
2694.6
2757.7
2760.9
3872.9
2888.7
2529.2
3458.3
2882.8
2958.5
2652.4
2869.8
2501.7
2576.1
3347.5
3036.1
3345.2
3223.2
4087
4157.2
3368
3957.5
3469
4501.6
3181.4
3464.5
4186.9
3064.7
4011.7
3537.1
4879.5
4488.7
4632.9
4405.8
2615.2
3338
2825.2
3012.7
4537.5
5676.7
5575.4
6643.4
5590.6
4697.6
5078.1
5769.9
5561.4
7268.8
6496.7
6489.3
10883.5
7998.6
7340
7814.4
5729.6
6463.5
6315.4
5357.1




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time2 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 time2 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298604&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]2 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=298604&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298604&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 time2 seconds
R ServerBig Analytics Cloud Computing Center







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
11418.7NANA1.1343NA
21344.1NANA1.04497NA
31574.6NANA1.10738NA
41621.6NANA1.04112NA
51887.2NANA1.05735NA
62055.3NANA1.04844NA
71606.81557.891577.20.9877571.03139
81494.81634.271583.421.032110.914657
916361369.111566.960.8737381.19494
101485.71546.811530.651.010560.960495
111369.71198.331482.650.8082311.14301
121333.81208.651415.20.8540451.10355
131614.91529.811348.681.13431.05562
141297.31397.11336.981.044970.928569
151226.21476.591333.41.107380.83043
161098.51367.911313.881.041120.803052
171258.51376.761302.091.057350.914104
181065.21348.011285.731.048440.790203
191000.41274.951290.750.9877570.78466
201820.21372.61329.91.032111.32609
211224.81206.051380.330.8737381.01555
221428.41442.541427.471.010560.990199
2311441195.421479.060.8082310.956982
241166.91315.951540.850.8540450.886733
251902.31841.471623.441.13431.03303
261949.41747.441672.251.044971.11557
271784.51865.341684.461.107380.956661
281671.51793.681722.841.041120.931882
291923.81894.781792.021.057351.01531
301882.81981.651890.11.048440.950115
3121651964.211988.560.9877571.10222
321826.92145.42078.651.032110.851544
331511.21914.82191.510.8737380.789219
342063.12372.7923481.010560.869484
352169.62021.892501.620.8082311.07306
362495.32250.032634.560.8540451.10901
372936.93122.672752.951.13430.940509
383076.92968.142840.411.044971.03664
393365.73253.752938.231.107381.03441
4038463149.283024.891.041121.22123
413436.23245.493069.471.057351.05876
423561.13270.093119.011.048441.08899
4333283181.943221.370.9877571.0459
442762.93466.373358.521.032110.797059
4529233056.43498.080.8737380.956354
462731.13634.333596.361.010560.751472
472571.52941.893639.910.8082310.874097
483282.43148.793686.910.8540451.04243
494606.54246.393743.621.13431.0848
504698.74015.593842.791.044971.17011
515093.34387.063961.641.107381.16098
524477.34281.134112.041.041121.04582
533850.14456.834215.111.057350.863864
544275.24392.894189.931.048440.973209
5539754038.364088.410.9877570.984312
564495.94056.863930.631.032111.10822
574042.43319.373799.040.8737381.21782
585221.33720.8836821.010561.40325
5925552877.933560.770.8082310.887792
602694.62964.983471.70.8540450.908808
612757.73847.713392.151.13430.716711
622760.93430.193282.581.044970.804882
633872.93500.013160.611.107381.10654
642888.73128.273004.711.041120.923418
652529.23071.082904.511.057350.823555
663458.33037.72897.351.048441.13846
672882.82881.282916.990.9877571.00053
682958.53047.862953.031.032110.97068
692652.42570.982942.510.8737381.03167
702869.82965.452934.461.010560.967747
712501.72435.453013.310.8082311.0272
722576.12653.83107.340.8540450.970719
733347.53580.613156.681.13430.934895
743036.13363.253218.521.044970.902729
753345.23647.913294.171.107380.917019
763223.23535.843396.181.041120.91158
7740873692.783492.51.057351.10675
784157.23730.173557.831.048441.11448
7933683585.393629.820.9877570.939369
803957.53783.723665.991.032111.04593
8134693228.423694.950.8737381.07452
824501.63775.253735.81.010561.1924
833181.43056.653781.90.8082311.04081
843464.53269.913828.740.8540451.05951
854186.94418.383895.251.13430.947609
863064.74145.013966.641.044970.739371
874011.74373.883949.741.107380.917195
883537.14024.643865.681.041120.87886
894879.54020.413802.361.057351.21368
904488.73951.243768.691.048441.13602
914632.93718.393764.470.9877571.24594
924405.84012.773887.921.032111.09794
932615.23549.044061.90.8737380.736875
9433384301.434256.491.010560.776021
952825.23568.784415.550.8082310.791642
963012.73803.814453.880.8540450.792021
974537.55082.954481.131.13430.892691
985676.74761.424556.521.044971.19223
995575.45244.74736.121.107381.06305
1006643.45229.195022.661.041121.27044
1015590.65645.625339.421.057350.990255
1024697.65910.325637.261.048440.794813
1035078.15972.516046.530.9877570.850246
1045769.96613.476407.71.032110.872447
1055561.45747.426577.970.8737380.967634
1067268.86771.036700.281.010561.07352
1076496.75459.56754.870.8082311.18998
1086489.35836.746834.240.8540451.1118
10910883.57894.016959.371.13431.3787
1107998.67308.226993.721.044971.09447
1117340NANA1.10738NA
1127814.4NANA1.04112NA
1135729.6NANA1.05735NA
1146463.5NANA1.04844NA
1156315.4NANA0.987757NA
1165357.1NANA1.03211NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 1418.7 & NA & NA & 1.1343 & NA \tabularnewline
2 & 1344.1 & NA & NA & 1.04497 & NA \tabularnewline
3 & 1574.6 & NA & NA & 1.10738 & NA \tabularnewline
4 & 1621.6 & NA & NA & 1.04112 & NA \tabularnewline
5 & 1887.2 & NA & NA & 1.05735 & NA \tabularnewline
6 & 2055.3 & NA & NA & 1.04844 & NA \tabularnewline
7 & 1606.8 & 1557.89 & 1577.2 & 0.987757 & 1.03139 \tabularnewline
8 & 1494.8 & 1634.27 & 1583.42 & 1.03211 & 0.914657 \tabularnewline
9 & 1636 & 1369.11 & 1566.96 & 0.873738 & 1.19494 \tabularnewline
10 & 1485.7 & 1546.81 & 1530.65 & 1.01056 & 0.960495 \tabularnewline
11 & 1369.7 & 1198.33 & 1482.65 & 0.808231 & 1.14301 \tabularnewline
12 & 1333.8 & 1208.65 & 1415.2 & 0.854045 & 1.10355 \tabularnewline
13 & 1614.9 & 1529.81 & 1348.68 & 1.1343 & 1.05562 \tabularnewline
14 & 1297.3 & 1397.1 & 1336.98 & 1.04497 & 0.928569 \tabularnewline
15 & 1226.2 & 1476.59 & 1333.4 & 1.10738 & 0.83043 \tabularnewline
16 & 1098.5 & 1367.91 & 1313.88 & 1.04112 & 0.803052 \tabularnewline
17 & 1258.5 & 1376.76 & 1302.09 & 1.05735 & 0.914104 \tabularnewline
18 & 1065.2 & 1348.01 & 1285.73 & 1.04844 & 0.790203 \tabularnewline
19 & 1000.4 & 1274.95 & 1290.75 & 0.987757 & 0.78466 \tabularnewline
20 & 1820.2 & 1372.6 & 1329.9 & 1.03211 & 1.32609 \tabularnewline
21 & 1224.8 & 1206.05 & 1380.33 & 0.873738 & 1.01555 \tabularnewline
22 & 1428.4 & 1442.54 & 1427.47 & 1.01056 & 0.990199 \tabularnewline
23 & 1144 & 1195.42 & 1479.06 & 0.808231 & 0.956982 \tabularnewline
24 & 1166.9 & 1315.95 & 1540.85 & 0.854045 & 0.886733 \tabularnewline
25 & 1902.3 & 1841.47 & 1623.44 & 1.1343 & 1.03303 \tabularnewline
26 & 1949.4 & 1747.44 & 1672.25 & 1.04497 & 1.11557 \tabularnewline
27 & 1784.5 & 1865.34 & 1684.46 & 1.10738 & 0.956661 \tabularnewline
28 & 1671.5 & 1793.68 & 1722.84 & 1.04112 & 0.931882 \tabularnewline
29 & 1923.8 & 1894.78 & 1792.02 & 1.05735 & 1.01531 \tabularnewline
30 & 1882.8 & 1981.65 & 1890.1 & 1.04844 & 0.950115 \tabularnewline
31 & 2165 & 1964.21 & 1988.56 & 0.987757 & 1.10222 \tabularnewline
32 & 1826.9 & 2145.4 & 2078.65 & 1.03211 & 0.851544 \tabularnewline
33 & 1511.2 & 1914.8 & 2191.51 & 0.873738 & 0.789219 \tabularnewline
34 & 2063.1 & 2372.79 & 2348 & 1.01056 & 0.869484 \tabularnewline
35 & 2169.6 & 2021.89 & 2501.62 & 0.808231 & 1.07306 \tabularnewline
36 & 2495.3 & 2250.03 & 2634.56 & 0.854045 & 1.10901 \tabularnewline
37 & 2936.9 & 3122.67 & 2752.95 & 1.1343 & 0.940509 \tabularnewline
38 & 3076.9 & 2968.14 & 2840.41 & 1.04497 & 1.03664 \tabularnewline
39 & 3365.7 & 3253.75 & 2938.23 & 1.10738 & 1.03441 \tabularnewline
40 & 3846 & 3149.28 & 3024.89 & 1.04112 & 1.22123 \tabularnewline
41 & 3436.2 & 3245.49 & 3069.47 & 1.05735 & 1.05876 \tabularnewline
42 & 3561.1 & 3270.09 & 3119.01 & 1.04844 & 1.08899 \tabularnewline
43 & 3328 & 3181.94 & 3221.37 & 0.987757 & 1.0459 \tabularnewline
44 & 2762.9 & 3466.37 & 3358.52 & 1.03211 & 0.797059 \tabularnewline
45 & 2923 & 3056.4 & 3498.08 & 0.873738 & 0.956354 \tabularnewline
46 & 2731.1 & 3634.33 & 3596.36 & 1.01056 & 0.751472 \tabularnewline
47 & 2571.5 & 2941.89 & 3639.91 & 0.808231 & 0.874097 \tabularnewline
48 & 3282.4 & 3148.79 & 3686.91 & 0.854045 & 1.04243 \tabularnewline
49 & 4606.5 & 4246.39 & 3743.62 & 1.1343 & 1.0848 \tabularnewline
50 & 4698.7 & 4015.59 & 3842.79 & 1.04497 & 1.17011 \tabularnewline
51 & 5093.3 & 4387.06 & 3961.64 & 1.10738 & 1.16098 \tabularnewline
52 & 4477.3 & 4281.13 & 4112.04 & 1.04112 & 1.04582 \tabularnewline
53 & 3850.1 & 4456.83 & 4215.11 & 1.05735 & 0.863864 \tabularnewline
54 & 4275.2 & 4392.89 & 4189.93 & 1.04844 & 0.973209 \tabularnewline
55 & 3975 & 4038.36 & 4088.41 & 0.987757 & 0.984312 \tabularnewline
56 & 4495.9 & 4056.86 & 3930.63 & 1.03211 & 1.10822 \tabularnewline
57 & 4042.4 & 3319.37 & 3799.04 & 0.873738 & 1.21782 \tabularnewline
58 & 5221.3 & 3720.88 & 3682 & 1.01056 & 1.40325 \tabularnewline
59 & 2555 & 2877.93 & 3560.77 & 0.808231 & 0.887792 \tabularnewline
60 & 2694.6 & 2964.98 & 3471.7 & 0.854045 & 0.908808 \tabularnewline
61 & 2757.7 & 3847.71 & 3392.15 & 1.1343 & 0.716711 \tabularnewline
62 & 2760.9 & 3430.19 & 3282.58 & 1.04497 & 0.804882 \tabularnewline
63 & 3872.9 & 3500.01 & 3160.61 & 1.10738 & 1.10654 \tabularnewline
64 & 2888.7 & 3128.27 & 3004.71 & 1.04112 & 0.923418 \tabularnewline
65 & 2529.2 & 3071.08 & 2904.51 & 1.05735 & 0.823555 \tabularnewline
66 & 3458.3 & 3037.7 & 2897.35 & 1.04844 & 1.13846 \tabularnewline
67 & 2882.8 & 2881.28 & 2916.99 & 0.987757 & 1.00053 \tabularnewline
68 & 2958.5 & 3047.86 & 2953.03 & 1.03211 & 0.97068 \tabularnewline
69 & 2652.4 & 2570.98 & 2942.51 & 0.873738 & 1.03167 \tabularnewline
70 & 2869.8 & 2965.45 & 2934.46 & 1.01056 & 0.967747 \tabularnewline
71 & 2501.7 & 2435.45 & 3013.31 & 0.808231 & 1.0272 \tabularnewline
72 & 2576.1 & 2653.8 & 3107.34 & 0.854045 & 0.970719 \tabularnewline
73 & 3347.5 & 3580.61 & 3156.68 & 1.1343 & 0.934895 \tabularnewline
74 & 3036.1 & 3363.25 & 3218.52 & 1.04497 & 0.902729 \tabularnewline
75 & 3345.2 & 3647.91 & 3294.17 & 1.10738 & 0.917019 \tabularnewline
76 & 3223.2 & 3535.84 & 3396.18 & 1.04112 & 0.91158 \tabularnewline
77 & 4087 & 3692.78 & 3492.5 & 1.05735 & 1.10675 \tabularnewline
78 & 4157.2 & 3730.17 & 3557.83 & 1.04844 & 1.11448 \tabularnewline
79 & 3368 & 3585.39 & 3629.82 & 0.987757 & 0.939369 \tabularnewline
80 & 3957.5 & 3783.72 & 3665.99 & 1.03211 & 1.04593 \tabularnewline
81 & 3469 & 3228.42 & 3694.95 & 0.873738 & 1.07452 \tabularnewline
82 & 4501.6 & 3775.25 & 3735.8 & 1.01056 & 1.1924 \tabularnewline
83 & 3181.4 & 3056.65 & 3781.9 & 0.808231 & 1.04081 \tabularnewline
84 & 3464.5 & 3269.91 & 3828.74 & 0.854045 & 1.05951 \tabularnewline
85 & 4186.9 & 4418.38 & 3895.25 & 1.1343 & 0.947609 \tabularnewline
86 & 3064.7 & 4145.01 & 3966.64 & 1.04497 & 0.739371 \tabularnewline
87 & 4011.7 & 4373.88 & 3949.74 & 1.10738 & 0.917195 \tabularnewline
88 & 3537.1 & 4024.64 & 3865.68 & 1.04112 & 0.87886 \tabularnewline
89 & 4879.5 & 4020.41 & 3802.36 & 1.05735 & 1.21368 \tabularnewline
90 & 4488.7 & 3951.24 & 3768.69 & 1.04844 & 1.13602 \tabularnewline
91 & 4632.9 & 3718.39 & 3764.47 & 0.987757 & 1.24594 \tabularnewline
92 & 4405.8 & 4012.77 & 3887.92 & 1.03211 & 1.09794 \tabularnewline
93 & 2615.2 & 3549.04 & 4061.9 & 0.873738 & 0.736875 \tabularnewline
94 & 3338 & 4301.43 & 4256.49 & 1.01056 & 0.776021 \tabularnewline
95 & 2825.2 & 3568.78 & 4415.55 & 0.808231 & 0.791642 \tabularnewline
96 & 3012.7 & 3803.81 & 4453.88 & 0.854045 & 0.792021 \tabularnewline
97 & 4537.5 & 5082.95 & 4481.13 & 1.1343 & 0.892691 \tabularnewline
98 & 5676.7 & 4761.42 & 4556.52 & 1.04497 & 1.19223 \tabularnewline
99 & 5575.4 & 5244.7 & 4736.12 & 1.10738 & 1.06305 \tabularnewline
100 & 6643.4 & 5229.19 & 5022.66 & 1.04112 & 1.27044 \tabularnewline
101 & 5590.6 & 5645.62 & 5339.42 & 1.05735 & 0.990255 \tabularnewline
102 & 4697.6 & 5910.32 & 5637.26 & 1.04844 & 0.794813 \tabularnewline
103 & 5078.1 & 5972.51 & 6046.53 & 0.987757 & 0.850246 \tabularnewline
104 & 5769.9 & 6613.47 & 6407.7 & 1.03211 & 0.872447 \tabularnewline
105 & 5561.4 & 5747.42 & 6577.97 & 0.873738 & 0.967634 \tabularnewline
106 & 7268.8 & 6771.03 & 6700.28 & 1.01056 & 1.07352 \tabularnewline
107 & 6496.7 & 5459.5 & 6754.87 & 0.808231 & 1.18998 \tabularnewline
108 & 6489.3 & 5836.74 & 6834.24 & 0.854045 & 1.1118 \tabularnewline
109 & 10883.5 & 7894.01 & 6959.37 & 1.1343 & 1.3787 \tabularnewline
110 & 7998.6 & 7308.22 & 6993.72 & 1.04497 & 1.09447 \tabularnewline
111 & 7340 & NA & NA & 1.10738 & NA \tabularnewline
112 & 7814.4 & NA & NA & 1.04112 & NA \tabularnewline
113 & 5729.6 & NA & NA & 1.05735 & NA \tabularnewline
114 & 6463.5 & NA & NA & 1.04844 & NA \tabularnewline
115 & 6315.4 & NA & NA & 0.987757 & NA \tabularnewline
116 & 5357.1 & NA & NA & 1.03211 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298604&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]1418.7[/C][C]NA[/C][C]NA[/C][C]1.1343[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]1344.1[/C][C]NA[/C][C]NA[/C][C]1.04497[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]1574.6[/C][C]NA[/C][C]NA[/C][C]1.10738[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]1621.6[/C][C]NA[/C][C]NA[/C][C]1.04112[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]1887.2[/C][C]NA[/C][C]NA[/C][C]1.05735[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]2055.3[/C][C]NA[/C][C]NA[/C][C]1.04844[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]1606.8[/C][C]1557.89[/C][C]1577.2[/C][C]0.987757[/C][C]1.03139[/C][/ROW]
[ROW][C]8[/C][C]1494.8[/C][C]1634.27[/C][C]1583.42[/C][C]1.03211[/C][C]0.914657[/C][/ROW]
[ROW][C]9[/C][C]1636[/C][C]1369.11[/C][C]1566.96[/C][C]0.873738[/C][C]1.19494[/C][/ROW]
[ROW][C]10[/C][C]1485.7[/C][C]1546.81[/C][C]1530.65[/C][C]1.01056[/C][C]0.960495[/C][/ROW]
[ROW][C]11[/C][C]1369.7[/C][C]1198.33[/C][C]1482.65[/C][C]0.808231[/C][C]1.14301[/C][/ROW]
[ROW][C]12[/C][C]1333.8[/C][C]1208.65[/C][C]1415.2[/C][C]0.854045[/C][C]1.10355[/C][/ROW]
[ROW][C]13[/C][C]1614.9[/C][C]1529.81[/C][C]1348.68[/C][C]1.1343[/C][C]1.05562[/C][/ROW]
[ROW][C]14[/C][C]1297.3[/C][C]1397.1[/C][C]1336.98[/C][C]1.04497[/C][C]0.928569[/C][/ROW]
[ROW][C]15[/C][C]1226.2[/C][C]1476.59[/C][C]1333.4[/C][C]1.10738[/C][C]0.83043[/C][/ROW]
[ROW][C]16[/C][C]1098.5[/C][C]1367.91[/C][C]1313.88[/C][C]1.04112[/C][C]0.803052[/C][/ROW]
[ROW][C]17[/C][C]1258.5[/C][C]1376.76[/C][C]1302.09[/C][C]1.05735[/C][C]0.914104[/C][/ROW]
[ROW][C]18[/C][C]1065.2[/C][C]1348.01[/C][C]1285.73[/C][C]1.04844[/C][C]0.790203[/C][/ROW]
[ROW][C]19[/C][C]1000.4[/C][C]1274.95[/C][C]1290.75[/C][C]0.987757[/C][C]0.78466[/C][/ROW]
[ROW][C]20[/C][C]1820.2[/C][C]1372.6[/C][C]1329.9[/C][C]1.03211[/C][C]1.32609[/C][/ROW]
[ROW][C]21[/C][C]1224.8[/C][C]1206.05[/C][C]1380.33[/C][C]0.873738[/C][C]1.01555[/C][/ROW]
[ROW][C]22[/C][C]1428.4[/C][C]1442.54[/C][C]1427.47[/C][C]1.01056[/C][C]0.990199[/C][/ROW]
[ROW][C]23[/C][C]1144[/C][C]1195.42[/C][C]1479.06[/C][C]0.808231[/C][C]0.956982[/C][/ROW]
[ROW][C]24[/C][C]1166.9[/C][C]1315.95[/C][C]1540.85[/C][C]0.854045[/C][C]0.886733[/C][/ROW]
[ROW][C]25[/C][C]1902.3[/C][C]1841.47[/C][C]1623.44[/C][C]1.1343[/C][C]1.03303[/C][/ROW]
[ROW][C]26[/C][C]1949.4[/C][C]1747.44[/C][C]1672.25[/C][C]1.04497[/C][C]1.11557[/C][/ROW]
[ROW][C]27[/C][C]1784.5[/C][C]1865.34[/C][C]1684.46[/C][C]1.10738[/C][C]0.956661[/C][/ROW]
[ROW][C]28[/C][C]1671.5[/C][C]1793.68[/C][C]1722.84[/C][C]1.04112[/C][C]0.931882[/C][/ROW]
[ROW][C]29[/C][C]1923.8[/C][C]1894.78[/C][C]1792.02[/C][C]1.05735[/C][C]1.01531[/C][/ROW]
[ROW][C]30[/C][C]1882.8[/C][C]1981.65[/C][C]1890.1[/C][C]1.04844[/C][C]0.950115[/C][/ROW]
[ROW][C]31[/C][C]2165[/C][C]1964.21[/C][C]1988.56[/C][C]0.987757[/C][C]1.10222[/C][/ROW]
[ROW][C]32[/C][C]1826.9[/C][C]2145.4[/C][C]2078.65[/C][C]1.03211[/C][C]0.851544[/C][/ROW]
[ROW][C]33[/C][C]1511.2[/C][C]1914.8[/C][C]2191.51[/C][C]0.873738[/C][C]0.789219[/C][/ROW]
[ROW][C]34[/C][C]2063.1[/C][C]2372.79[/C][C]2348[/C][C]1.01056[/C][C]0.869484[/C][/ROW]
[ROW][C]35[/C][C]2169.6[/C][C]2021.89[/C][C]2501.62[/C][C]0.808231[/C][C]1.07306[/C][/ROW]
[ROW][C]36[/C][C]2495.3[/C][C]2250.03[/C][C]2634.56[/C][C]0.854045[/C][C]1.10901[/C][/ROW]
[ROW][C]37[/C][C]2936.9[/C][C]3122.67[/C][C]2752.95[/C][C]1.1343[/C][C]0.940509[/C][/ROW]
[ROW][C]38[/C][C]3076.9[/C][C]2968.14[/C][C]2840.41[/C][C]1.04497[/C][C]1.03664[/C][/ROW]
[ROW][C]39[/C][C]3365.7[/C][C]3253.75[/C][C]2938.23[/C][C]1.10738[/C][C]1.03441[/C][/ROW]
[ROW][C]40[/C][C]3846[/C][C]3149.28[/C][C]3024.89[/C][C]1.04112[/C][C]1.22123[/C][/ROW]
[ROW][C]41[/C][C]3436.2[/C][C]3245.49[/C][C]3069.47[/C][C]1.05735[/C][C]1.05876[/C][/ROW]
[ROW][C]42[/C][C]3561.1[/C][C]3270.09[/C][C]3119.01[/C][C]1.04844[/C][C]1.08899[/C][/ROW]
[ROW][C]43[/C][C]3328[/C][C]3181.94[/C][C]3221.37[/C][C]0.987757[/C][C]1.0459[/C][/ROW]
[ROW][C]44[/C][C]2762.9[/C][C]3466.37[/C][C]3358.52[/C][C]1.03211[/C][C]0.797059[/C][/ROW]
[ROW][C]45[/C][C]2923[/C][C]3056.4[/C][C]3498.08[/C][C]0.873738[/C][C]0.956354[/C][/ROW]
[ROW][C]46[/C][C]2731.1[/C][C]3634.33[/C][C]3596.36[/C][C]1.01056[/C][C]0.751472[/C][/ROW]
[ROW][C]47[/C][C]2571.5[/C][C]2941.89[/C][C]3639.91[/C][C]0.808231[/C][C]0.874097[/C][/ROW]
[ROW][C]48[/C][C]3282.4[/C][C]3148.79[/C][C]3686.91[/C][C]0.854045[/C][C]1.04243[/C][/ROW]
[ROW][C]49[/C][C]4606.5[/C][C]4246.39[/C][C]3743.62[/C][C]1.1343[/C][C]1.0848[/C][/ROW]
[ROW][C]50[/C][C]4698.7[/C][C]4015.59[/C][C]3842.79[/C][C]1.04497[/C][C]1.17011[/C][/ROW]
[ROW][C]51[/C][C]5093.3[/C][C]4387.06[/C][C]3961.64[/C][C]1.10738[/C][C]1.16098[/C][/ROW]
[ROW][C]52[/C][C]4477.3[/C][C]4281.13[/C][C]4112.04[/C][C]1.04112[/C][C]1.04582[/C][/ROW]
[ROW][C]53[/C][C]3850.1[/C][C]4456.83[/C][C]4215.11[/C][C]1.05735[/C][C]0.863864[/C][/ROW]
[ROW][C]54[/C][C]4275.2[/C][C]4392.89[/C][C]4189.93[/C][C]1.04844[/C][C]0.973209[/C][/ROW]
[ROW][C]55[/C][C]3975[/C][C]4038.36[/C][C]4088.41[/C][C]0.987757[/C][C]0.984312[/C][/ROW]
[ROW][C]56[/C][C]4495.9[/C][C]4056.86[/C][C]3930.63[/C][C]1.03211[/C][C]1.10822[/C][/ROW]
[ROW][C]57[/C][C]4042.4[/C][C]3319.37[/C][C]3799.04[/C][C]0.873738[/C][C]1.21782[/C][/ROW]
[ROW][C]58[/C][C]5221.3[/C][C]3720.88[/C][C]3682[/C][C]1.01056[/C][C]1.40325[/C][/ROW]
[ROW][C]59[/C][C]2555[/C][C]2877.93[/C][C]3560.77[/C][C]0.808231[/C][C]0.887792[/C][/ROW]
[ROW][C]60[/C][C]2694.6[/C][C]2964.98[/C][C]3471.7[/C][C]0.854045[/C][C]0.908808[/C][/ROW]
[ROW][C]61[/C][C]2757.7[/C][C]3847.71[/C][C]3392.15[/C][C]1.1343[/C][C]0.716711[/C][/ROW]
[ROW][C]62[/C][C]2760.9[/C][C]3430.19[/C][C]3282.58[/C][C]1.04497[/C][C]0.804882[/C][/ROW]
[ROW][C]63[/C][C]3872.9[/C][C]3500.01[/C][C]3160.61[/C][C]1.10738[/C][C]1.10654[/C][/ROW]
[ROW][C]64[/C][C]2888.7[/C][C]3128.27[/C][C]3004.71[/C][C]1.04112[/C][C]0.923418[/C][/ROW]
[ROW][C]65[/C][C]2529.2[/C][C]3071.08[/C][C]2904.51[/C][C]1.05735[/C][C]0.823555[/C][/ROW]
[ROW][C]66[/C][C]3458.3[/C][C]3037.7[/C][C]2897.35[/C][C]1.04844[/C][C]1.13846[/C][/ROW]
[ROW][C]67[/C][C]2882.8[/C][C]2881.28[/C][C]2916.99[/C][C]0.987757[/C][C]1.00053[/C][/ROW]
[ROW][C]68[/C][C]2958.5[/C][C]3047.86[/C][C]2953.03[/C][C]1.03211[/C][C]0.97068[/C][/ROW]
[ROW][C]69[/C][C]2652.4[/C][C]2570.98[/C][C]2942.51[/C][C]0.873738[/C][C]1.03167[/C][/ROW]
[ROW][C]70[/C][C]2869.8[/C][C]2965.45[/C][C]2934.46[/C][C]1.01056[/C][C]0.967747[/C][/ROW]
[ROW][C]71[/C][C]2501.7[/C][C]2435.45[/C][C]3013.31[/C][C]0.808231[/C][C]1.0272[/C][/ROW]
[ROW][C]72[/C][C]2576.1[/C][C]2653.8[/C][C]3107.34[/C][C]0.854045[/C][C]0.970719[/C][/ROW]
[ROW][C]73[/C][C]3347.5[/C][C]3580.61[/C][C]3156.68[/C][C]1.1343[/C][C]0.934895[/C][/ROW]
[ROW][C]74[/C][C]3036.1[/C][C]3363.25[/C][C]3218.52[/C][C]1.04497[/C][C]0.902729[/C][/ROW]
[ROW][C]75[/C][C]3345.2[/C][C]3647.91[/C][C]3294.17[/C][C]1.10738[/C][C]0.917019[/C][/ROW]
[ROW][C]76[/C][C]3223.2[/C][C]3535.84[/C][C]3396.18[/C][C]1.04112[/C][C]0.91158[/C][/ROW]
[ROW][C]77[/C][C]4087[/C][C]3692.78[/C][C]3492.5[/C][C]1.05735[/C][C]1.10675[/C][/ROW]
[ROW][C]78[/C][C]4157.2[/C][C]3730.17[/C][C]3557.83[/C][C]1.04844[/C][C]1.11448[/C][/ROW]
[ROW][C]79[/C][C]3368[/C][C]3585.39[/C][C]3629.82[/C][C]0.987757[/C][C]0.939369[/C][/ROW]
[ROW][C]80[/C][C]3957.5[/C][C]3783.72[/C][C]3665.99[/C][C]1.03211[/C][C]1.04593[/C][/ROW]
[ROW][C]81[/C][C]3469[/C][C]3228.42[/C][C]3694.95[/C][C]0.873738[/C][C]1.07452[/C][/ROW]
[ROW][C]82[/C][C]4501.6[/C][C]3775.25[/C][C]3735.8[/C][C]1.01056[/C][C]1.1924[/C][/ROW]
[ROW][C]83[/C][C]3181.4[/C][C]3056.65[/C][C]3781.9[/C][C]0.808231[/C][C]1.04081[/C][/ROW]
[ROW][C]84[/C][C]3464.5[/C][C]3269.91[/C][C]3828.74[/C][C]0.854045[/C][C]1.05951[/C][/ROW]
[ROW][C]85[/C][C]4186.9[/C][C]4418.38[/C][C]3895.25[/C][C]1.1343[/C][C]0.947609[/C][/ROW]
[ROW][C]86[/C][C]3064.7[/C][C]4145.01[/C][C]3966.64[/C][C]1.04497[/C][C]0.739371[/C][/ROW]
[ROW][C]87[/C][C]4011.7[/C][C]4373.88[/C][C]3949.74[/C][C]1.10738[/C][C]0.917195[/C][/ROW]
[ROW][C]88[/C][C]3537.1[/C][C]4024.64[/C][C]3865.68[/C][C]1.04112[/C][C]0.87886[/C][/ROW]
[ROW][C]89[/C][C]4879.5[/C][C]4020.41[/C][C]3802.36[/C][C]1.05735[/C][C]1.21368[/C][/ROW]
[ROW][C]90[/C][C]4488.7[/C][C]3951.24[/C][C]3768.69[/C][C]1.04844[/C][C]1.13602[/C][/ROW]
[ROW][C]91[/C][C]4632.9[/C][C]3718.39[/C][C]3764.47[/C][C]0.987757[/C][C]1.24594[/C][/ROW]
[ROW][C]92[/C][C]4405.8[/C][C]4012.77[/C][C]3887.92[/C][C]1.03211[/C][C]1.09794[/C][/ROW]
[ROW][C]93[/C][C]2615.2[/C][C]3549.04[/C][C]4061.9[/C][C]0.873738[/C][C]0.736875[/C][/ROW]
[ROW][C]94[/C][C]3338[/C][C]4301.43[/C][C]4256.49[/C][C]1.01056[/C][C]0.776021[/C][/ROW]
[ROW][C]95[/C][C]2825.2[/C][C]3568.78[/C][C]4415.55[/C][C]0.808231[/C][C]0.791642[/C][/ROW]
[ROW][C]96[/C][C]3012.7[/C][C]3803.81[/C][C]4453.88[/C][C]0.854045[/C][C]0.792021[/C][/ROW]
[ROW][C]97[/C][C]4537.5[/C][C]5082.95[/C][C]4481.13[/C][C]1.1343[/C][C]0.892691[/C][/ROW]
[ROW][C]98[/C][C]5676.7[/C][C]4761.42[/C][C]4556.52[/C][C]1.04497[/C][C]1.19223[/C][/ROW]
[ROW][C]99[/C][C]5575.4[/C][C]5244.7[/C][C]4736.12[/C][C]1.10738[/C][C]1.06305[/C][/ROW]
[ROW][C]100[/C][C]6643.4[/C][C]5229.19[/C][C]5022.66[/C][C]1.04112[/C][C]1.27044[/C][/ROW]
[ROW][C]101[/C][C]5590.6[/C][C]5645.62[/C][C]5339.42[/C][C]1.05735[/C][C]0.990255[/C][/ROW]
[ROW][C]102[/C][C]4697.6[/C][C]5910.32[/C][C]5637.26[/C][C]1.04844[/C][C]0.794813[/C][/ROW]
[ROW][C]103[/C][C]5078.1[/C][C]5972.51[/C][C]6046.53[/C][C]0.987757[/C][C]0.850246[/C][/ROW]
[ROW][C]104[/C][C]5769.9[/C][C]6613.47[/C][C]6407.7[/C][C]1.03211[/C][C]0.872447[/C][/ROW]
[ROW][C]105[/C][C]5561.4[/C][C]5747.42[/C][C]6577.97[/C][C]0.873738[/C][C]0.967634[/C][/ROW]
[ROW][C]106[/C][C]7268.8[/C][C]6771.03[/C][C]6700.28[/C][C]1.01056[/C][C]1.07352[/C][/ROW]
[ROW][C]107[/C][C]6496.7[/C][C]5459.5[/C][C]6754.87[/C][C]0.808231[/C][C]1.18998[/C][/ROW]
[ROW][C]108[/C][C]6489.3[/C][C]5836.74[/C][C]6834.24[/C][C]0.854045[/C][C]1.1118[/C][/ROW]
[ROW][C]109[/C][C]10883.5[/C][C]7894.01[/C][C]6959.37[/C][C]1.1343[/C][C]1.3787[/C][/ROW]
[ROW][C]110[/C][C]7998.6[/C][C]7308.22[/C][C]6993.72[/C][C]1.04497[/C][C]1.09447[/C][/ROW]
[ROW][C]111[/C][C]7340[/C][C]NA[/C][C]NA[/C][C]1.10738[/C][C]NA[/C][/ROW]
[ROW][C]112[/C][C]7814.4[/C][C]NA[/C][C]NA[/C][C]1.04112[/C][C]NA[/C][/ROW]
[ROW][C]113[/C][C]5729.6[/C][C]NA[/C][C]NA[/C][C]1.05735[/C][C]NA[/C][/ROW]
[ROW][C]114[/C][C]6463.5[/C][C]NA[/C][C]NA[/C][C]1.04844[/C][C]NA[/C][/ROW]
[ROW][C]115[/C][C]6315.4[/C][C]NA[/C][C]NA[/C][C]0.987757[/C][C]NA[/C][/ROW]
[ROW][C]116[/C][C]5357.1[/C][C]NA[/C][C]NA[/C][C]1.03211[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=298604&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298604&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
11418.7NANA1.1343NA
21344.1NANA1.04497NA
31574.6NANA1.10738NA
41621.6NANA1.04112NA
51887.2NANA1.05735NA
62055.3NANA1.04844NA
71606.81557.891577.20.9877571.03139
81494.81634.271583.421.032110.914657
916361369.111566.960.8737381.19494
101485.71546.811530.651.010560.960495
111369.71198.331482.650.8082311.14301
121333.81208.651415.20.8540451.10355
131614.91529.811348.681.13431.05562
141297.31397.11336.981.044970.928569
151226.21476.591333.41.107380.83043
161098.51367.911313.881.041120.803052
171258.51376.761302.091.057350.914104
181065.21348.011285.731.048440.790203
191000.41274.951290.750.9877570.78466
201820.21372.61329.91.032111.32609
211224.81206.051380.330.8737381.01555
221428.41442.541427.471.010560.990199
2311441195.421479.060.8082310.956982
241166.91315.951540.850.8540450.886733
251902.31841.471623.441.13431.03303
261949.41747.441672.251.044971.11557
271784.51865.341684.461.107380.956661
281671.51793.681722.841.041120.931882
291923.81894.781792.021.057351.01531
301882.81981.651890.11.048440.950115
3121651964.211988.560.9877571.10222
321826.92145.42078.651.032110.851544
331511.21914.82191.510.8737380.789219
342063.12372.7923481.010560.869484
352169.62021.892501.620.8082311.07306
362495.32250.032634.560.8540451.10901
372936.93122.672752.951.13430.940509
383076.92968.142840.411.044971.03664
393365.73253.752938.231.107381.03441
4038463149.283024.891.041121.22123
413436.23245.493069.471.057351.05876
423561.13270.093119.011.048441.08899
4333283181.943221.370.9877571.0459
442762.93466.373358.521.032110.797059
4529233056.43498.080.8737380.956354
462731.13634.333596.361.010560.751472
472571.52941.893639.910.8082310.874097
483282.43148.793686.910.8540451.04243
494606.54246.393743.621.13431.0848
504698.74015.593842.791.044971.17011
515093.34387.063961.641.107381.16098
524477.34281.134112.041.041121.04582
533850.14456.834215.111.057350.863864
544275.24392.894189.931.048440.973209
5539754038.364088.410.9877570.984312
564495.94056.863930.631.032111.10822
574042.43319.373799.040.8737381.21782
585221.33720.8836821.010561.40325
5925552877.933560.770.8082310.887792
602694.62964.983471.70.8540450.908808
612757.73847.713392.151.13430.716711
622760.93430.193282.581.044970.804882
633872.93500.013160.611.107381.10654
642888.73128.273004.711.041120.923418
652529.23071.082904.511.057350.823555
663458.33037.72897.351.048441.13846
672882.82881.282916.990.9877571.00053
682958.53047.862953.031.032110.97068
692652.42570.982942.510.8737381.03167
702869.82965.452934.461.010560.967747
712501.72435.453013.310.8082311.0272
722576.12653.83107.340.8540450.970719
733347.53580.613156.681.13430.934895
743036.13363.253218.521.044970.902729
753345.23647.913294.171.107380.917019
763223.23535.843396.181.041120.91158
7740873692.783492.51.057351.10675
784157.23730.173557.831.048441.11448
7933683585.393629.820.9877570.939369
803957.53783.723665.991.032111.04593
8134693228.423694.950.8737381.07452
824501.63775.253735.81.010561.1924
833181.43056.653781.90.8082311.04081
843464.53269.913828.740.8540451.05951
854186.94418.383895.251.13430.947609
863064.74145.013966.641.044970.739371
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883537.14024.643865.681.041120.87886
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904488.73951.243768.691.048441.13602
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924405.84012.773887.921.032111.09794
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974537.55082.954481.131.13430.892691
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1006643.45229.195022.661.041121.27044
1015590.65645.625339.421.057350.990255
1024697.65910.325637.261.048440.794813
1035078.15972.516046.530.9877570.850246
1045769.96613.476407.71.032110.872447
1055561.45747.426577.970.8737380.967634
1067268.86771.036700.281.010561.07352
1076496.75459.56754.870.8082311.18998
1086489.35836.746834.240.8540451.1118
10910883.57894.016959.371.13431.3787
1107998.67308.226993.721.044971.09447
1117340NANA1.10738NA
1127814.4NANA1.04112NA
1135729.6NANA1.05735NA
1146463.5NANA1.04844NA
1156315.4NANA0.987757NA
1165357.1NANA1.03211NA



Parameters (Session):
par1 = multiplicative ; par2 = 12 ;
Parameters (R input):
par1 = multiplicative ; 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')