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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 computationWed, 14 Dec 2016 15:06:29 +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/14/t1481724430yqal65lo578zzih.htm/, Retrieved Fri, 03 May 2024 23:58:54 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=299463, Retrieved Fri, 03 May 2024 23:58:54 +0000
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Original text written by user:
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User-defined keywords
Estimated Impact75
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [Classical Decompo...] [2016-12-14 14:06:29] [08c254f01fc4fb8b56d19f4878327019] [Current]
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Dataseries X:
5884.5
5879.1
5897.2
5920.7
5944.6
5982.4
6017.4
5980
6087.4
6114.5
6143.2
6173.1
6195.7
6236
6255.2
6282.5
6301.7
6330.9
6350.8
6363
6388.6
6411.5
6436.4
6449.2
6473.3
6479.5
6507.3
6516.1
6534.2
6540.6
6542.9
6562.6
6577
6596.6
6612.1
6626.3
6640.1
6642.4
6648.7
6660.8
6668.2
6657.7
6682.8
6696.8
6714.4
6728.2
6741.8
6758.4
6774
6792.3
6809.1
6832.2
6850.3
6861.1
6882.6
6900.7
6915.1
6947.8
6965.9
6991.7
6993.9
7031.7
7048.7
7067.4
7077.1
7107.4
7127.1
7137.3
7147.9
7170.6
7193
7220.1
7251
7268.1
7282.2
7290.2
7292.5
7299.6
7305.1
7306.9
7313.3
7325.6
7348.1
7354.7
7375.3
7396.3
7401.9
7390.4
7393.6
7398.5
7392.4
7390.8
7380.6
7365.8
7346.9
7334.1
7314.8
7287.8
7274.3
7252.7
7257.5
7256.5
7253.9
7262.6
7263.6
7261.3
7250.4
7249.3
7245.6
7244.4
7253.8
7271.6
7282.7
7283
7293.3
7291.2
7298.5




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=299463&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=299463&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=299463&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
15884.5NANA2.44871NA
25879.1NANA3.22695NA
35897.2NANA2.96074NA
45920.7NANA1.1729NA
55944.6NANA-0.216686NA
65982.4NANA-1.93856NA
76017.46013.036014.98-1.943894.36889
859806033.326042.81-9.48833-53.3242
96087.46071.316072.6-1.2897216.0897
106114.56103.666102.591.0644510.8439
116143.26134.046132.551.493159.16101
126173.16164.466161.952.510288.64389
136195.76192.816190.362.448712.89296
1462366223.446220.213.2269512.5647
156255.26251.686248.722.960743.52259
166282.56274.816273.641.17297.68544
176301.76298.026298.23-0.2166863.68335
186330.96320.026321.95-1.9385610.8844
196350.86343.086345.02-1.943897.71889
2063636357.256366.74-9.488335.75083
216388.66386.16387.39-1.289722.50222
226411.56408.696407.621.064452.81055
236436.46428.546427.051.493157.86101
246449.26447.986445.472.510281.21889
256473.36464.666462.212.448718.63879
266479.56481.766478.533.22695-2.26028
276507.36497.666494.72.960749.63926
286516.16511.446510.261.17294.6646
296534.26525.086525.3-0.2166869.12085
306540.66538.066540-1.938562.54273
316542.96552.386554.32-1.94389-9.48111
326562.66558.576568.06-9.488334.02583
3365776579.456580.74-1.28972-2.45195
346596.66593.736592.661.064452.87305
356612.16605.776604.281.493156.33185
366626.36617.256614.742.510289.05222
376640.16627.896625.452.4487112.2055
386642.46640.096636.873.226952.30639
396648.76651.146648.182.96074-2.44408
406660.86660.566659.391.17290.235436
416668.26670.066670.28-0.216686-1.86248
426657.76679.256681.19-1.93856-21.5489
436682.86690.336692.27-1.94389-7.52695
446696.86694.616704.1-9.488332.1925
456714.46715.746717.02-1.28972-1.33528
466728.26731.916730.851.06445-3.71445
476741.86747.076745.581.49315-5.27232
486758.46764.156761.642.51028-5.75195
4967746780.896778.442.44871-6.89037
506792.36798.496795.263.22695-6.18945
516809.16815.086812.122.96074-5.98158
526832.26830.816829.631.17291.39377
536850.36847.96848.12-0.2166862.39585
546861.16865.246867.18-1.93856-4.14061
556882.66884.126886.06-1.94389-1.51861
566900.76895.716905.2-9.488334.98833
576915.16923.876925.16-1.28972-8.76861
586947.86946.016944.941.064451.79389
596965.96965.686964.191.493150.215181
606991.76986.416983.92.510285.28555
616993.97006.87004.352.44871-12.9029
627031.77027.637024.43.226954.07305
637048.77046.927043.962.960741.78092
647067.47064.117062.941.17293.28544
657077.17081.477081.69-0.216686-4.37081
667107.47098.737100.67-1.938568.67189
677127.17118.957120.9-1.943898.14805
687137.37131.977141.46-9.488335.33
697147.97159.757161.04-1.28972-11.8478
707170.67181.117180.051.06445-10.5144
7171937199.87198.311.49315-6.80149
727220.17217.87215.292.510282.29805
7372517233.177230.722.4487117.8346
747268.17248.437245.23.2269519.6731
757282.27262.127259.162.9607420.0809
767290.27273.687272.511.172916.5188
777292.57285.217285.43-0.2166867.28752
787299.67295.567297.5-1.938564.03856
797305.17306.347308.29-1.94389-1.24361
807306.97309.327318.81-9.48833-2.42
817313.37327.857329.14-1.28972-14.5478
827325.67339.367338.31.06445-13.7644
837348.17348.187346.691.49315-0.080652
847354.77357.537355.022.51028-2.83111
857375.37365.237362.782.4487110.0721
867396.37373.147369.913.2269523.1606
877401.97379.177376.212.9607422.7268
887390.47381.867380.691.17298.53544
897393.67382.17382.32-0.21668611.5
907398.57379.477381.41-1.9385619.0302
917392.47376.097378.03-1.9438916.3147
927390.87361.57370.99-9.4883329.3008
937380.67359.867361.15-1.2897220.7397
947365.87351.167350.11.0644514.6397
957346.97340.187338.691.493156.71935
967334.17329.617327.12.510284.48972
977314.87317.867315.412.44871-3.06121
987287.87307.537304.33.22695-19.7269
997274.37297.047294.082.96074-22.7441
1007252.77286.037284.851.1729-33.3271
1017257.57276.267276.48-0.216686-18.7625
1027256.57266.997268.92-1.93856-10.4864
1037253.97260.567262.51-1.94389-6.66445
1047262.67248.337257.82-9.4883314.2717
1057263.67253.867255.15-1.289729.73555
1067261.37256.157255.091.064455.14805
1077250.47258.427256.921.49315-8.01815
1087249.37261.597259.082.51028-12.2894
1097245.67264.277261.822.44871-18.6737
1107244.47267.897264.663.22695-23.4853
1117253.87270.267267.32.96074-16.4649
1127271.6NANA1.1729NA
1137282.7NANA-0.216686NA
1147283NANA-1.93856NA
1157293.3NANA-1.94389NA
1167291.2NANA-9.48833NA
1177298.5NANA-1.28972NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 5884.5 & NA & NA & 2.44871 & NA \tabularnewline
2 & 5879.1 & NA & NA & 3.22695 & NA \tabularnewline
3 & 5897.2 & NA & NA & 2.96074 & NA \tabularnewline
4 & 5920.7 & NA & NA & 1.1729 & NA \tabularnewline
5 & 5944.6 & NA & NA & -0.216686 & NA \tabularnewline
6 & 5982.4 & NA & NA & -1.93856 & NA \tabularnewline
7 & 6017.4 & 6013.03 & 6014.98 & -1.94389 & 4.36889 \tabularnewline
8 & 5980 & 6033.32 & 6042.81 & -9.48833 & -53.3242 \tabularnewline
9 & 6087.4 & 6071.31 & 6072.6 & -1.28972 & 16.0897 \tabularnewline
10 & 6114.5 & 6103.66 & 6102.59 & 1.06445 & 10.8439 \tabularnewline
11 & 6143.2 & 6134.04 & 6132.55 & 1.49315 & 9.16101 \tabularnewline
12 & 6173.1 & 6164.46 & 6161.95 & 2.51028 & 8.64389 \tabularnewline
13 & 6195.7 & 6192.81 & 6190.36 & 2.44871 & 2.89296 \tabularnewline
14 & 6236 & 6223.44 & 6220.21 & 3.22695 & 12.5647 \tabularnewline
15 & 6255.2 & 6251.68 & 6248.72 & 2.96074 & 3.52259 \tabularnewline
16 & 6282.5 & 6274.81 & 6273.64 & 1.1729 & 7.68544 \tabularnewline
17 & 6301.7 & 6298.02 & 6298.23 & -0.216686 & 3.68335 \tabularnewline
18 & 6330.9 & 6320.02 & 6321.95 & -1.93856 & 10.8844 \tabularnewline
19 & 6350.8 & 6343.08 & 6345.02 & -1.94389 & 7.71889 \tabularnewline
20 & 6363 & 6357.25 & 6366.74 & -9.48833 & 5.75083 \tabularnewline
21 & 6388.6 & 6386.1 & 6387.39 & -1.28972 & 2.50222 \tabularnewline
22 & 6411.5 & 6408.69 & 6407.62 & 1.06445 & 2.81055 \tabularnewline
23 & 6436.4 & 6428.54 & 6427.05 & 1.49315 & 7.86101 \tabularnewline
24 & 6449.2 & 6447.98 & 6445.47 & 2.51028 & 1.21889 \tabularnewline
25 & 6473.3 & 6464.66 & 6462.21 & 2.44871 & 8.63879 \tabularnewline
26 & 6479.5 & 6481.76 & 6478.53 & 3.22695 & -2.26028 \tabularnewline
27 & 6507.3 & 6497.66 & 6494.7 & 2.96074 & 9.63926 \tabularnewline
28 & 6516.1 & 6511.44 & 6510.26 & 1.1729 & 4.6646 \tabularnewline
29 & 6534.2 & 6525.08 & 6525.3 & -0.216686 & 9.12085 \tabularnewline
30 & 6540.6 & 6538.06 & 6540 & -1.93856 & 2.54273 \tabularnewline
31 & 6542.9 & 6552.38 & 6554.32 & -1.94389 & -9.48111 \tabularnewline
32 & 6562.6 & 6558.57 & 6568.06 & -9.48833 & 4.02583 \tabularnewline
33 & 6577 & 6579.45 & 6580.74 & -1.28972 & -2.45195 \tabularnewline
34 & 6596.6 & 6593.73 & 6592.66 & 1.06445 & 2.87305 \tabularnewline
35 & 6612.1 & 6605.77 & 6604.28 & 1.49315 & 6.33185 \tabularnewline
36 & 6626.3 & 6617.25 & 6614.74 & 2.51028 & 9.05222 \tabularnewline
37 & 6640.1 & 6627.89 & 6625.45 & 2.44871 & 12.2055 \tabularnewline
38 & 6642.4 & 6640.09 & 6636.87 & 3.22695 & 2.30639 \tabularnewline
39 & 6648.7 & 6651.14 & 6648.18 & 2.96074 & -2.44408 \tabularnewline
40 & 6660.8 & 6660.56 & 6659.39 & 1.1729 & 0.235436 \tabularnewline
41 & 6668.2 & 6670.06 & 6670.28 & -0.216686 & -1.86248 \tabularnewline
42 & 6657.7 & 6679.25 & 6681.19 & -1.93856 & -21.5489 \tabularnewline
43 & 6682.8 & 6690.33 & 6692.27 & -1.94389 & -7.52695 \tabularnewline
44 & 6696.8 & 6694.61 & 6704.1 & -9.48833 & 2.1925 \tabularnewline
45 & 6714.4 & 6715.74 & 6717.02 & -1.28972 & -1.33528 \tabularnewline
46 & 6728.2 & 6731.91 & 6730.85 & 1.06445 & -3.71445 \tabularnewline
47 & 6741.8 & 6747.07 & 6745.58 & 1.49315 & -5.27232 \tabularnewline
48 & 6758.4 & 6764.15 & 6761.64 & 2.51028 & -5.75195 \tabularnewline
49 & 6774 & 6780.89 & 6778.44 & 2.44871 & -6.89037 \tabularnewline
50 & 6792.3 & 6798.49 & 6795.26 & 3.22695 & -6.18945 \tabularnewline
51 & 6809.1 & 6815.08 & 6812.12 & 2.96074 & -5.98158 \tabularnewline
52 & 6832.2 & 6830.81 & 6829.63 & 1.1729 & 1.39377 \tabularnewline
53 & 6850.3 & 6847.9 & 6848.12 & -0.216686 & 2.39585 \tabularnewline
54 & 6861.1 & 6865.24 & 6867.18 & -1.93856 & -4.14061 \tabularnewline
55 & 6882.6 & 6884.12 & 6886.06 & -1.94389 & -1.51861 \tabularnewline
56 & 6900.7 & 6895.71 & 6905.2 & -9.48833 & 4.98833 \tabularnewline
57 & 6915.1 & 6923.87 & 6925.16 & -1.28972 & -8.76861 \tabularnewline
58 & 6947.8 & 6946.01 & 6944.94 & 1.06445 & 1.79389 \tabularnewline
59 & 6965.9 & 6965.68 & 6964.19 & 1.49315 & 0.215181 \tabularnewline
60 & 6991.7 & 6986.41 & 6983.9 & 2.51028 & 5.28555 \tabularnewline
61 & 6993.9 & 7006.8 & 7004.35 & 2.44871 & -12.9029 \tabularnewline
62 & 7031.7 & 7027.63 & 7024.4 & 3.22695 & 4.07305 \tabularnewline
63 & 7048.7 & 7046.92 & 7043.96 & 2.96074 & 1.78092 \tabularnewline
64 & 7067.4 & 7064.11 & 7062.94 & 1.1729 & 3.28544 \tabularnewline
65 & 7077.1 & 7081.47 & 7081.69 & -0.216686 & -4.37081 \tabularnewline
66 & 7107.4 & 7098.73 & 7100.67 & -1.93856 & 8.67189 \tabularnewline
67 & 7127.1 & 7118.95 & 7120.9 & -1.94389 & 8.14805 \tabularnewline
68 & 7137.3 & 7131.97 & 7141.46 & -9.48833 & 5.33 \tabularnewline
69 & 7147.9 & 7159.75 & 7161.04 & -1.28972 & -11.8478 \tabularnewline
70 & 7170.6 & 7181.11 & 7180.05 & 1.06445 & -10.5144 \tabularnewline
71 & 7193 & 7199.8 & 7198.31 & 1.49315 & -6.80149 \tabularnewline
72 & 7220.1 & 7217.8 & 7215.29 & 2.51028 & 2.29805 \tabularnewline
73 & 7251 & 7233.17 & 7230.72 & 2.44871 & 17.8346 \tabularnewline
74 & 7268.1 & 7248.43 & 7245.2 & 3.22695 & 19.6731 \tabularnewline
75 & 7282.2 & 7262.12 & 7259.16 & 2.96074 & 20.0809 \tabularnewline
76 & 7290.2 & 7273.68 & 7272.51 & 1.1729 & 16.5188 \tabularnewline
77 & 7292.5 & 7285.21 & 7285.43 & -0.216686 & 7.28752 \tabularnewline
78 & 7299.6 & 7295.56 & 7297.5 & -1.93856 & 4.03856 \tabularnewline
79 & 7305.1 & 7306.34 & 7308.29 & -1.94389 & -1.24361 \tabularnewline
80 & 7306.9 & 7309.32 & 7318.81 & -9.48833 & -2.42 \tabularnewline
81 & 7313.3 & 7327.85 & 7329.14 & -1.28972 & -14.5478 \tabularnewline
82 & 7325.6 & 7339.36 & 7338.3 & 1.06445 & -13.7644 \tabularnewline
83 & 7348.1 & 7348.18 & 7346.69 & 1.49315 & -0.080652 \tabularnewline
84 & 7354.7 & 7357.53 & 7355.02 & 2.51028 & -2.83111 \tabularnewline
85 & 7375.3 & 7365.23 & 7362.78 & 2.44871 & 10.0721 \tabularnewline
86 & 7396.3 & 7373.14 & 7369.91 & 3.22695 & 23.1606 \tabularnewline
87 & 7401.9 & 7379.17 & 7376.21 & 2.96074 & 22.7268 \tabularnewline
88 & 7390.4 & 7381.86 & 7380.69 & 1.1729 & 8.53544 \tabularnewline
89 & 7393.6 & 7382.1 & 7382.32 & -0.216686 & 11.5 \tabularnewline
90 & 7398.5 & 7379.47 & 7381.41 & -1.93856 & 19.0302 \tabularnewline
91 & 7392.4 & 7376.09 & 7378.03 & -1.94389 & 16.3147 \tabularnewline
92 & 7390.8 & 7361.5 & 7370.99 & -9.48833 & 29.3008 \tabularnewline
93 & 7380.6 & 7359.86 & 7361.15 & -1.28972 & 20.7397 \tabularnewline
94 & 7365.8 & 7351.16 & 7350.1 & 1.06445 & 14.6397 \tabularnewline
95 & 7346.9 & 7340.18 & 7338.69 & 1.49315 & 6.71935 \tabularnewline
96 & 7334.1 & 7329.61 & 7327.1 & 2.51028 & 4.48972 \tabularnewline
97 & 7314.8 & 7317.86 & 7315.41 & 2.44871 & -3.06121 \tabularnewline
98 & 7287.8 & 7307.53 & 7304.3 & 3.22695 & -19.7269 \tabularnewline
99 & 7274.3 & 7297.04 & 7294.08 & 2.96074 & -22.7441 \tabularnewline
100 & 7252.7 & 7286.03 & 7284.85 & 1.1729 & -33.3271 \tabularnewline
101 & 7257.5 & 7276.26 & 7276.48 & -0.216686 & -18.7625 \tabularnewline
102 & 7256.5 & 7266.99 & 7268.92 & -1.93856 & -10.4864 \tabularnewline
103 & 7253.9 & 7260.56 & 7262.51 & -1.94389 & -6.66445 \tabularnewline
104 & 7262.6 & 7248.33 & 7257.82 & -9.48833 & 14.2717 \tabularnewline
105 & 7263.6 & 7253.86 & 7255.15 & -1.28972 & 9.73555 \tabularnewline
106 & 7261.3 & 7256.15 & 7255.09 & 1.06445 & 5.14805 \tabularnewline
107 & 7250.4 & 7258.42 & 7256.92 & 1.49315 & -8.01815 \tabularnewline
108 & 7249.3 & 7261.59 & 7259.08 & 2.51028 & -12.2894 \tabularnewline
109 & 7245.6 & 7264.27 & 7261.82 & 2.44871 & -18.6737 \tabularnewline
110 & 7244.4 & 7267.89 & 7264.66 & 3.22695 & -23.4853 \tabularnewline
111 & 7253.8 & 7270.26 & 7267.3 & 2.96074 & -16.4649 \tabularnewline
112 & 7271.6 & NA & NA & 1.1729 & NA \tabularnewline
113 & 7282.7 & NA & NA & -0.216686 & NA \tabularnewline
114 & 7283 & NA & NA & -1.93856 & NA \tabularnewline
115 & 7293.3 & NA & NA & -1.94389 & NA \tabularnewline
116 & 7291.2 & NA & NA & -9.48833 & NA \tabularnewline
117 & 7298.5 & NA & NA & -1.28972 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=299463&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]5884.5[/C][C]NA[/C][C]NA[/C][C]2.44871[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]5879.1[/C][C]NA[/C][C]NA[/C][C]3.22695[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]5897.2[/C][C]NA[/C][C]NA[/C][C]2.96074[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]5920.7[/C][C]NA[/C][C]NA[/C][C]1.1729[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]5944.6[/C][C]NA[/C][C]NA[/C][C]-0.216686[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]5982.4[/C][C]NA[/C][C]NA[/C][C]-1.93856[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]6017.4[/C][C]6013.03[/C][C]6014.98[/C][C]-1.94389[/C][C]4.36889[/C][/ROW]
[ROW][C]8[/C][C]5980[/C][C]6033.32[/C][C]6042.81[/C][C]-9.48833[/C][C]-53.3242[/C][/ROW]
[ROW][C]9[/C][C]6087.4[/C][C]6071.31[/C][C]6072.6[/C][C]-1.28972[/C][C]16.0897[/C][/ROW]
[ROW][C]10[/C][C]6114.5[/C][C]6103.66[/C][C]6102.59[/C][C]1.06445[/C][C]10.8439[/C][/ROW]
[ROW][C]11[/C][C]6143.2[/C][C]6134.04[/C][C]6132.55[/C][C]1.49315[/C][C]9.16101[/C][/ROW]
[ROW][C]12[/C][C]6173.1[/C][C]6164.46[/C][C]6161.95[/C][C]2.51028[/C][C]8.64389[/C][/ROW]
[ROW][C]13[/C][C]6195.7[/C][C]6192.81[/C][C]6190.36[/C][C]2.44871[/C][C]2.89296[/C][/ROW]
[ROW][C]14[/C][C]6236[/C][C]6223.44[/C][C]6220.21[/C][C]3.22695[/C][C]12.5647[/C][/ROW]
[ROW][C]15[/C][C]6255.2[/C][C]6251.68[/C][C]6248.72[/C][C]2.96074[/C][C]3.52259[/C][/ROW]
[ROW][C]16[/C][C]6282.5[/C][C]6274.81[/C][C]6273.64[/C][C]1.1729[/C][C]7.68544[/C][/ROW]
[ROW][C]17[/C][C]6301.7[/C][C]6298.02[/C][C]6298.23[/C][C]-0.216686[/C][C]3.68335[/C][/ROW]
[ROW][C]18[/C][C]6330.9[/C][C]6320.02[/C][C]6321.95[/C][C]-1.93856[/C][C]10.8844[/C][/ROW]
[ROW][C]19[/C][C]6350.8[/C][C]6343.08[/C][C]6345.02[/C][C]-1.94389[/C][C]7.71889[/C][/ROW]
[ROW][C]20[/C][C]6363[/C][C]6357.25[/C][C]6366.74[/C][C]-9.48833[/C][C]5.75083[/C][/ROW]
[ROW][C]21[/C][C]6388.6[/C][C]6386.1[/C][C]6387.39[/C][C]-1.28972[/C][C]2.50222[/C][/ROW]
[ROW][C]22[/C][C]6411.5[/C][C]6408.69[/C][C]6407.62[/C][C]1.06445[/C][C]2.81055[/C][/ROW]
[ROW][C]23[/C][C]6436.4[/C][C]6428.54[/C][C]6427.05[/C][C]1.49315[/C][C]7.86101[/C][/ROW]
[ROW][C]24[/C][C]6449.2[/C][C]6447.98[/C][C]6445.47[/C][C]2.51028[/C][C]1.21889[/C][/ROW]
[ROW][C]25[/C][C]6473.3[/C][C]6464.66[/C][C]6462.21[/C][C]2.44871[/C][C]8.63879[/C][/ROW]
[ROW][C]26[/C][C]6479.5[/C][C]6481.76[/C][C]6478.53[/C][C]3.22695[/C][C]-2.26028[/C][/ROW]
[ROW][C]27[/C][C]6507.3[/C][C]6497.66[/C][C]6494.7[/C][C]2.96074[/C][C]9.63926[/C][/ROW]
[ROW][C]28[/C][C]6516.1[/C][C]6511.44[/C][C]6510.26[/C][C]1.1729[/C][C]4.6646[/C][/ROW]
[ROW][C]29[/C][C]6534.2[/C][C]6525.08[/C][C]6525.3[/C][C]-0.216686[/C][C]9.12085[/C][/ROW]
[ROW][C]30[/C][C]6540.6[/C][C]6538.06[/C][C]6540[/C][C]-1.93856[/C][C]2.54273[/C][/ROW]
[ROW][C]31[/C][C]6542.9[/C][C]6552.38[/C][C]6554.32[/C][C]-1.94389[/C][C]-9.48111[/C][/ROW]
[ROW][C]32[/C][C]6562.6[/C][C]6558.57[/C][C]6568.06[/C][C]-9.48833[/C][C]4.02583[/C][/ROW]
[ROW][C]33[/C][C]6577[/C][C]6579.45[/C][C]6580.74[/C][C]-1.28972[/C][C]-2.45195[/C][/ROW]
[ROW][C]34[/C][C]6596.6[/C][C]6593.73[/C][C]6592.66[/C][C]1.06445[/C][C]2.87305[/C][/ROW]
[ROW][C]35[/C][C]6612.1[/C][C]6605.77[/C][C]6604.28[/C][C]1.49315[/C][C]6.33185[/C][/ROW]
[ROW][C]36[/C][C]6626.3[/C][C]6617.25[/C][C]6614.74[/C][C]2.51028[/C][C]9.05222[/C][/ROW]
[ROW][C]37[/C][C]6640.1[/C][C]6627.89[/C][C]6625.45[/C][C]2.44871[/C][C]12.2055[/C][/ROW]
[ROW][C]38[/C][C]6642.4[/C][C]6640.09[/C][C]6636.87[/C][C]3.22695[/C][C]2.30639[/C][/ROW]
[ROW][C]39[/C][C]6648.7[/C][C]6651.14[/C][C]6648.18[/C][C]2.96074[/C][C]-2.44408[/C][/ROW]
[ROW][C]40[/C][C]6660.8[/C][C]6660.56[/C][C]6659.39[/C][C]1.1729[/C][C]0.235436[/C][/ROW]
[ROW][C]41[/C][C]6668.2[/C][C]6670.06[/C][C]6670.28[/C][C]-0.216686[/C][C]-1.86248[/C][/ROW]
[ROW][C]42[/C][C]6657.7[/C][C]6679.25[/C][C]6681.19[/C][C]-1.93856[/C][C]-21.5489[/C][/ROW]
[ROW][C]43[/C][C]6682.8[/C][C]6690.33[/C][C]6692.27[/C][C]-1.94389[/C][C]-7.52695[/C][/ROW]
[ROW][C]44[/C][C]6696.8[/C][C]6694.61[/C][C]6704.1[/C][C]-9.48833[/C][C]2.1925[/C][/ROW]
[ROW][C]45[/C][C]6714.4[/C][C]6715.74[/C][C]6717.02[/C][C]-1.28972[/C][C]-1.33528[/C][/ROW]
[ROW][C]46[/C][C]6728.2[/C][C]6731.91[/C][C]6730.85[/C][C]1.06445[/C][C]-3.71445[/C][/ROW]
[ROW][C]47[/C][C]6741.8[/C][C]6747.07[/C][C]6745.58[/C][C]1.49315[/C][C]-5.27232[/C][/ROW]
[ROW][C]48[/C][C]6758.4[/C][C]6764.15[/C][C]6761.64[/C][C]2.51028[/C][C]-5.75195[/C][/ROW]
[ROW][C]49[/C][C]6774[/C][C]6780.89[/C][C]6778.44[/C][C]2.44871[/C][C]-6.89037[/C][/ROW]
[ROW][C]50[/C][C]6792.3[/C][C]6798.49[/C][C]6795.26[/C][C]3.22695[/C][C]-6.18945[/C][/ROW]
[ROW][C]51[/C][C]6809.1[/C][C]6815.08[/C][C]6812.12[/C][C]2.96074[/C][C]-5.98158[/C][/ROW]
[ROW][C]52[/C][C]6832.2[/C][C]6830.81[/C][C]6829.63[/C][C]1.1729[/C][C]1.39377[/C][/ROW]
[ROW][C]53[/C][C]6850.3[/C][C]6847.9[/C][C]6848.12[/C][C]-0.216686[/C][C]2.39585[/C][/ROW]
[ROW][C]54[/C][C]6861.1[/C][C]6865.24[/C][C]6867.18[/C][C]-1.93856[/C][C]-4.14061[/C][/ROW]
[ROW][C]55[/C][C]6882.6[/C][C]6884.12[/C][C]6886.06[/C][C]-1.94389[/C][C]-1.51861[/C][/ROW]
[ROW][C]56[/C][C]6900.7[/C][C]6895.71[/C][C]6905.2[/C][C]-9.48833[/C][C]4.98833[/C][/ROW]
[ROW][C]57[/C][C]6915.1[/C][C]6923.87[/C][C]6925.16[/C][C]-1.28972[/C][C]-8.76861[/C][/ROW]
[ROW][C]58[/C][C]6947.8[/C][C]6946.01[/C][C]6944.94[/C][C]1.06445[/C][C]1.79389[/C][/ROW]
[ROW][C]59[/C][C]6965.9[/C][C]6965.68[/C][C]6964.19[/C][C]1.49315[/C][C]0.215181[/C][/ROW]
[ROW][C]60[/C][C]6991.7[/C][C]6986.41[/C][C]6983.9[/C][C]2.51028[/C][C]5.28555[/C][/ROW]
[ROW][C]61[/C][C]6993.9[/C][C]7006.8[/C][C]7004.35[/C][C]2.44871[/C][C]-12.9029[/C][/ROW]
[ROW][C]62[/C][C]7031.7[/C][C]7027.63[/C][C]7024.4[/C][C]3.22695[/C][C]4.07305[/C][/ROW]
[ROW][C]63[/C][C]7048.7[/C][C]7046.92[/C][C]7043.96[/C][C]2.96074[/C][C]1.78092[/C][/ROW]
[ROW][C]64[/C][C]7067.4[/C][C]7064.11[/C][C]7062.94[/C][C]1.1729[/C][C]3.28544[/C][/ROW]
[ROW][C]65[/C][C]7077.1[/C][C]7081.47[/C][C]7081.69[/C][C]-0.216686[/C][C]-4.37081[/C][/ROW]
[ROW][C]66[/C][C]7107.4[/C][C]7098.73[/C][C]7100.67[/C][C]-1.93856[/C][C]8.67189[/C][/ROW]
[ROW][C]67[/C][C]7127.1[/C][C]7118.95[/C][C]7120.9[/C][C]-1.94389[/C][C]8.14805[/C][/ROW]
[ROW][C]68[/C][C]7137.3[/C][C]7131.97[/C][C]7141.46[/C][C]-9.48833[/C][C]5.33[/C][/ROW]
[ROW][C]69[/C][C]7147.9[/C][C]7159.75[/C][C]7161.04[/C][C]-1.28972[/C][C]-11.8478[/C][/ROW]
[ROW][C]70[/C][C]7170.6[/C][C]7181.11[/C][C]7180.05[/C][C]1.06445[/C][C]-10.5144[/C][/ROW]
[ROW][C]71[/C][C]7193[/C][C]7199.8[/C][C]7198.31[/C][C]1.49315[/C][C]-6.80149[/C][/ROW]
[ROW][C]72[/C][C]7220.1[/C][C]7217.8[/C][C]7215.29[/C][C]2.51028[/C][C]2.29805[/C][/ROW]
[ROW][C]73[/C][C]7251[/C][C]7233.17[/C][C]7230.72[/C][C]2.44871[/C][C]17.8346[/C][/ROW]
[ROW][C]74[/C][C]7268.1[/C][C]7248.43[/C][C]7245.2[/C][C]3.22695[/C][C]19.6731[/C][/ROW]
[ROW][C]75[/C][C]7282.2[/C][C]7262.12[/C][C]7259.16[/C][C]2.96074[/C][C]20.0809[/C][/ROW]
[ROW][C]76[/C][C]7290.2[/C][C]7273.68[/C][C]7272.51[/C][C]1.1729[/C][C]16.5188[/C][/ROW]
[ROW][C]77[/C][C]7292.5[/C][C]7285.21[/C][C]7285.43[/C][C]-0.216686[/C][C]7.28752[/C][/ROW]
[ROW][C]78[/C][C]7299.6[/C][C]7295.56[/C][C]7297.5[/C][C]-1.93856[/C][C]4.03856[/C][/ROW]
[ROW][C]79[/C][C]7305.1[/C][C]7306.34[/C][C]7308.29[/C][C]-1.94389[/C][C]-1.24361[/C][/ROW]
[ROW][C]80[/C][C]7306.9[/C][C]7309.32[/C][C]7318.81[/C][C]-9.48833[/C][C]-2.42[/C][/ROW]
[ROW][C]81[/C][C]7313.3[/C][C]7327.85[/C][C]7329.14[/C][C]-1.28972[/C][C]-14.5478[/C][/ROW]
[ROW][C]82[/C][C]7325.6[/C][C]7339.36[/C][C]7338.3[/C][C]1.06445[/C][C]-13.7644[/C][/ROW]
[ROW][C]83[/C][C]7348.1[/C][C]7348.18[/C][C]7346.69[/C][C]1.49315[/C][C]-0.080652[/C][/ROW]
[ROW][C]84[/C][C]7354.7[/C][C]7357.53[/C][C]7355.02[/C][C]2.51028[/C][C]-2.83111[/C][/ROW]
[ROW][C]85[/C][C]7375.3[/C][C]7365.23[/C][C]7362.78[/C][C]2.44871[/C][C]10.0721[/C][/ROW]
[ROW][C]86[/C][C]7396.3[/C][C]7373.14[/C][C]7369.91[/C][C]3.22695[/C][C]23.1606[/C][/ROW]
[ROW][C]87[/C][C]7401.9[/C][C]7379.17[/C][C]7376.21[/C][C]2.96074[/C][C]22.7268[/C][/ROW]
[ROW][C]88[/C][C]7390.4[/C][C]7381.86[/C][C]7380.69[/C][C]1.1729[/C][C]8.53544[/C][/ROW]
[ROW][C]89[/C][C]7393.6[/C][C]7382.1[/C][C]7382.32[/C][C]-0.216686[/C][C]11.5[/C][/ROW]
[ROW][C]90[/C][C]7398.5[/C][C]7379.47[/C][C]7381.41[/C][C]-1.93856[/C][C]19.0302[/C][/ROW]
[ROW][C]91[/C][C]7392.4[/C][C]7376.09[/C][C]7378.03[/C][C]-1.94389[/C][C]16.3147[/C][/ROW]
[ROW][C]92[/C][C]7390.8[/C][C]7361.5[/C][C]7370.99[/C][C]-9.48833[/C][C]29.3008[/C][/ROW]
[ROW][C]93[/C][C]7380.6[/C][C]7359.86[/C][C]7361.15[/C][C]-1.28972[/C][C]20.7397[/C][/ROW]
[ROW][C]94[/C][C]7365.8[/C][C]7351.16[/C][C]7350.1[/C][C]1.06445[/C][C]14.6397[/C][/ROW]
[ROW][C]95[/C][C]7346.9[/C][C]7340.18[/C][C]7338.69[/C][C]1.49315[/C][C]6.71935[/C][/ROW]
[ROW][C]96[/C][C]7334.1[/C][C]7329.61[/C][C]7327.1[/C][C]2.51028[/C][C]4.48972[/C][/ROW]
[ROW][C]97[/C][C]7314.8[/C][C]7317.86[/C][C]7315.41[/C][C]2.44871[/C][C]-3.06121[/C][/ROW]
[ROW][C]98[/C][C]7287.8[/C][C]7307.53[/C][C]7304.3[/C][C]3.22695[/C][C]-19.7269[/C][/ROW]
[ROW][C]99[/C][C]7274.3[/C][C]7297.04[/C][C]7294.08[/C][C]2.96074[/C][C]-22.7441[/C][/ROW]
[ROW][C]100[/C][C]7252.7[/C][C]7286.03[/C][C]7284.85[/C][C]1.1729[/C][C]-33.3271[/C][/ROW]
[ROW][C]101[/C][C]7257.5[/C][C]7276.26[/C][C]7276.48[/C][C]-0.216686[/C][C]-18.7625[/C][/ROW]
[ROW][C]102[/C][C]7256.5[/C][C]7266.99[/C][C]7268.92[/C][C]-1.93856[/C][C]-10.4864[/C][/ROW]
[ROW][C]103[/C][C]7253.9[/C][C]7260.56[/C][C]7262.51[/C][C]-1.94389[/C][C]-6.66445[/C][/ROW]
[ROW][C]104[/C][C]7262.6[/C][C]7248.33[/C][C]7257.82[/C][C]-9.48833[/C][C]14.2717[/C][/ROW]
[ROW][C]105[/C][C]7263.6[/C][C]7253.86[/C][C]7255.15[/C][C]-1.28972[/C][C]9.73555[/C][/ROW]
[ROW][C]106[/C][C]7261.3[/C][C]7256.15[/C][C]7255.09[/C][C]1.06445[/C][C]5.14805[/C][/ROW]
[ROW][C]107[/C][C]7250.4[/C][C]7258.42[/C][C]7256.92[/C][C]1.49315[/C][C]-8.01815[/C][/ROW]
[ROW][C]108[/C][C]7249.3[/C][C]7261.59[/C][C]7259.08[/C][C]2.51028[/C][C]-12.2894[/C][/ROW]
[ROW][C]109[/C][C]7245.6[/C][C]7264.27[/C][C]7261.82[/C][C]2.44871[/C][C]-18.6737[/C][/ROW]
[ROW][C]110[/C][C]7244.4[/C][C]7267.89[/C][C]7264.66[/C][C]3.22695[/C][C]-23.4853[/C][/ROW]
[ROW][C]111[/C][C]7253.8[/C][C]7270.26[/C][C]7267.3[/C][C]2.96074[/C][C]-16.4649[/C][/ROW]
[ROW][C]112[/C][C]7271.6[/C][C]NA[/C][C]NA[/C][C]1.1729[/C][C]NA[/C][/ROW]
[ROW][C]113[/C][C]7282.7[/C][C]NA[/C][C]NA[/C][C]-0.216686[/C][C]NA[/C][/ROW]
[ROW][C]114[/C][C]7283[/C][C]NA[/C][C]NA[/C][C]-1.93856[/C][C]NA[/C][/ROW]
[ROW][C]115[/C][C]7293.3[/C][C]NA[/C][C]NA[/C][C]-1.94389[/C][C]NA[/C][/ROW]
[ROW][C]116[/C][C]7291.2[/C][C]NA[/C][C]NA[/C][C]-9.48833[/C][C]NA[/C][/ROW]
[ROW][C]117[/C][C]7298.5[/C][C]NA[/C][C]NA[/C][C]-1.28972[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=299463&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=299463&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
15884.5NANA2.44871NA
25879.1NANA3.22695NA
35897.2NANA2.96074NA
45920.7NANA1.1729NA
55944.6NANA-0.216686NA
65982.4NANA-1.93856NA
76017.46013.036014.98-1.943894.36889
859806033.326042.81-9.48833-53.3242
96087.46071.316072.6-1.2897216.0897
106114.56103.666102.591.0644510.8439
116143.26134.046132.551.493159.16101
126173.16164.466161.952.510288.64389
136195.76192.816190.362.448712.89296
1462366223.446220.213.2269512.5647
156255.26251.686248.722.960743.52259
166282.56274.816273.641.17297.68544
176301.76298.026298.23-0.2166863.68335
186330.96320.026321.95-1.9385610.8844
196350.86343.086345.02-1.943897.71889
2063636357.256366.74-9.488335.75083
216388.66386.16387.39-1.289722.50222
226411.56408.696407.621.064452.81055
236436.46428.546427.051.493157.86101
246449.26447.986445.472.510281.21889
256473.36464.666462.212.448718.63879
266479.56481.766478.533.22695-2.26028
276507.36497.666494.72.960749.63926
286516.16511.446510.261.17294.6646
296534.26525.086525.3-0.2166869.12085
306540.66538.066540-1.938562.54273
316542.96552.386554.32-1.94389-9.48111
326562.66558.576568.06-9.488334.02583
3365776579.456580.74-1.28972-2.45195
346596.66593.736592.661.064452.87305
356612.16605.776604.281.493156.33185
366626.36617.256614.742.510289.05222
376640.16627.896625.452.4487112.2055
386642.46640.096636.873.226952.30639
396648.76651.146648.182.96074-2.44408
406660.86660.566659.391.17290.235436
416668.26670.066670.28-0.216686-1.86248
426657.76679.256681.19-1.93856-21.5489
436682.86690.336692.27-1.94389-7.52695
446696.86694.616704.1-9.488332.1925
456714.46715.746717.02-1.28972-1.33528
466728.26731.916730.851.06445-3.71445
476741.86747.076745.581.49315-5.27232
486758.46764.156761.642.51028-5.75195
4967746780.896778.442.44871-6.89037
506792.36798.496795.263.22695-6.18945
516809.16815.086812.122.96074-5.98158
526832.26830.816829.631.17291.39377
536850.36847.96848.12-0.2166862.39585
546861.16865.246867.18-1.93856-4.14061
556882.66884.126886.06-1.94389-1.51861
566900.76895.716905.2-9.488334.98833
576915.16923.876925.16-1.28972-8.76861
586947.86946.016944.941.064451.79389
596965.96965.686964.191.493150.215181
606991.76986.416983.92.510285.28555
616993.97006.87004.352.44871-12.9029
627031.77027.637024.43.226954.07305
637048.77046.927043.962.960741.78092
647067.47064.117062.941.17293.28544
657077.17081.477081.69-0.216686-4.37081
667107.47098.737100.67-1.938568.67189
677127.17118.957120.9-1.943898.14805
687137.37131.977141.46-9.488335.33
697147.97159.757161.04-1.28972-11.8478
707170.67181.117180.051.06445-10.5144
7171937199.87198.311.49315-6.80149
727220.17217.87215.292.510282.29805
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1087249.37261.597259.082.51028-12.2894
1097245.67264.277261.822.44871-18.6737
1107244.47267.897264.663.22695-23.4853
1117253.87270.267267.32.96074-16.4649
1127271.6NANA1.1729NA
1137282.7NANA-0.216686NA
1147283NANA-1.93856NA
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1177298.5NANA-1.28972NA



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