Free Statistics

of Irreproducible Research!

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationMon, 12 Dec 2016 19:46:51 +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/12/t1481568435e8ms7aop5mh8pmh.htm/, Retrieved Sat, 04 May 2024 00:02:44 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=298966, Retrieved Sat, 04 May 2024 00:02:44 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact59
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [classical decompo...] [2016-12-12 18:46:51] [130d73899007e5ff8a4f636b9bcfb397] [Current]
Feedback Forum

Post a new message
Dataseries X:
5767
5772.5
5704
5634
5577
5623
5274
5311.5
5141
4943.5
4749.5
4665.5
4504
4395.5
4373
4381
4228
4113
4268.5
4259.5
4183.5
4190.5
4099
4179
4211.5
4160.5
4169.5
4197.5
4151
4230
4256.5
4098
4124
4149
4064
4069
3897.5
4201
4191.5
4182
4219.5
4254
4159.5
4067.5
4155
4121.5
4079.5
3941.5
3946
3932.5
3931
3771
3787
3699
3634
3630.5
3551
3613.5
3517.5
3468
3476.5
3464.5
3438
3300.5
3389.5
3273
3302.5
3421.5
3302
3284
3268.5
3259
3341
3179.5
3102.5
3234
3187.5
3288.5
3247.5
3255.5
3295
3315
3362.5
3333.5
3305.5
3292.5
3245
3354
3299.5
3207
3354
3505.5
3557.5
3596
3751.5
3866.5
3910
4079
4232.5
4155
4269.5
4244.5
4182
4222
4232.5
4290.5
4335.5
4502.5
4509.5
4645
4645
4623.5
4751
4885.5
4797.5
4795
4767




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=298966&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=298966&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298966&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
15767NANA-18.1233NA
25772.5NANA14.085NA
35704NANA15.7633NA
45634NANA6.36396NA
55577NANA6.48375NA
65623NANA-18.3235NA
752745288.135294.25-6.11868-14.1313
85311.55199.515184.2515.2563111.994
951415071.245071.42-0.17655369.7599
104943.54968.934963.755.18224-25.4322
114749.54838.354855.33-16.9821-88.8512
124665.54732.84736.21-3.41035-67.298
1345044613.274631.4-18.1233-109.273
144395.54559.754545.6714.085-164.252
1543734477.74461.9415.7633-104.701
1643814397.034390.676.36396-16.0306
1742284338.674332.196.48375-110.671
1841134266.494284.81-18.3235-153.489
194268.54246.244252.35-6.1186822.2645
204259.54245.634230.3815.256313.8687
214183.54211.934212.1-0.176553-28.4276
224190.54201.164195.985.18224-10.6614
2340994168.144185.12-16.9821-69.1429
2441794183.384186.79-3.41035-4.38132
254211.54173.044191.17-18.123338.4566
264160.54198.024183.9414.085-37.5225
274169.54190.494174.7315.7633-20.9924
284197.54176.884170.526.3639620.6152
2941514173.824167.336.48375-22.8171
3042304142.974161.29-18.323587.0319
314256.54137.514143.62-6.11868118.994
3240984147.494132.2315.2563-49.4855
3341244134.664134.83-0.176553-10.6568
3441494140.294135.15.182248.71359
3540644120.334137.31-16.9821-56.3304
3640694137.764141.17-3.41035-68.7563
373897.541204138.12-18.1233-222.502
3842014146.94132.8114.08554.1025
394191.54148.64132.8315.763342.9034
4041824139.344132.986.3639642.6569
414219.54138.964132.486.4837580.5371
4242544109.494127.81-18.3235144.511
434159.54118.44124.52-6.1186841.0978
444067.54130.614115.3515.2563-63.1105
4541554093.144093.31-0.17655361.8641
464121.54070.524065.335.1822450.9844
474079.54013.214030.19-16.982166.2946
483941.53985.633989.04-3.41035-44.1313
4939463925.93944.02-18.123320.1025
503932.539183903.9214.08514.4983
5139313876.33860.5415.763354.6951
5237713820.573814.216.36396-49.5723
5337873776.113769.636.4837510.8913
5436993708.163726.48-18.3235-9.15562
5536343681.073687.19-6.11868-47.0688
563630.53663.383648.1215.2563-32.8813
5735513607.913608.08-0.176553-56.9068
583613.53573.123567.945.1822440.3803
593517.53514.793531.77-16.98212.71128
6034683494.053497.46-3.41035-26.048
613476.53447.773465.9-18.123328.7275
623464.53457.463443.3714.0857.03998
6334383440.053424.2915.7633-2.05493
643300.53406.553400.196.36396-106.051
653389.53382.573376.086.483756.93292
6632733338.683357-18.3235-65.6765
673302.53336.533342.65-6.11868-34.0272
683421.53340.383325.1215.256381.1187
6933023299.093299.27-0.1765532.90572
7032843287.73282.525.18224-3.70308
713268.53254.353271.33-16.982114.1488
7232593260.153263.56-3.41035-1.15215
7333413243.793261.92-18.123397.2066
743179.53266.793252.7114.085-87.2934
753102.53261.263245.515.7633-158.763
7632343252.863246.56.36396-18.864
773187.53258.193251.716.48375-70.6921
783288.53240.413258.73-18.323548.0944
793247.53254.243260.35-6.11868-6.73548
803255.53278.843263.5815.2563-23.3397
8132953274.053274.23-0.17655320.9474
8233153290.353285.175.1822424.6511
833362.53277.853294.83-16.982184.6488
843333.53292.693296.1-3.4103540.8062
853305.53279.023297.15-18.123326.4775
863292.53326.09331214.085-33.585
8732453349.123333.3515.7633-104.117
8833543362.3633566.36396-8.36396
893299.53390.43383.926.48375-90.9004
9032073404.013422.33-18.3235-197.01
9133543463.613469.73-6.11868-109.61
923505.53542.943527.6915.2563-37.4438
933557.53601.433601.6-0.176553-43.9276
9435963681.313676.125.18224-85.3072
953751.53732.933749.92-16.982118.5654
963866.53830.153833.56-3.4103536.3478
9739103893.173911.29-18.123316.8316
9840793989.733975.6514.08589.2691
994232.54049.394033.6215.7633183.112
10041554097.054090.696.3639657.9485
1014269.54150.444143.966.48375119.058
1024244.54176.474194.79-18.323568.0319
10341824240.154246.27-6.11868-58.1522
10442224310.094294.8315.2563-88.0897
1054232.54335.434335.6-0.176553-102.928
1064290.54377.494372.315.18224-86.9947
1074335.54394.914411.9-16.9821-59.4137
1084502.54455.264458.67-3.4103547.2437
1094509.54492.94511.02-18.123316.6025
11046454574.634560.5414.08570.3733
11146454622.454606.6915.763322.5492
1124623.5NANA6.36396NA
1134751NANA6.48375NA
1144885.5NANA-18.3235NA
1154797.5NANA-6.11868NA
1164795NANA15.2563NA
1174767NANA-0.176553NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 5767 & NA & NA & -18.1233 & NA \tabularnewline
2 & 5772.5 & NA & NA & 14.085 & NA \tabularnewline
3 & 5704 & NA & NA & 15.7633 & NA \tabularnewline
4 & 5634 & NA & NA & 6.36396 & NA \tabularnewline
5 & 5577 & NA & NA & 6.48375 & NA \tabularnewline
6 & 5623 & NA & NA & -18.3235 & NA \tabularnewline
7 & 5274 & 5288.13 & 5294.25 & -6.11868 & -14.1313 \tabularnewline
8 & 5311.5 & 5199.51 & 5184.25 & 15.2563 & 111.994 \tabularnewline
9 & 5141 & 5071.24 & 5071.42 & -0.176553 & 69.7599 \tabularnewline
10 & 4943.5 & 4968.93 & 4963.75 & 5.18224 & -25.4322 \tabularnewline
11 & 4749.5 & 4838.35 & 4855.33 & -16.9821 & -88.8512 \tabularnewline
12 & 4665.5 & 4732.8 & 4736.21 & -3.41035 & -67.298 \tabularnewline
13 & 4504 & 4613.27 & 4631.4 & -18.1233 & -109.273 \tabularnewline
14 & 4395.5 & 4559.75 & 4545.67 & 14.085 & -164.252 \tabularnewline
15 & 4373 & 4477.7 & 4461.94 & 15.7633 & -104.701 \tabularnewline
16 & 4381 & 4397.03 & 4390.67 & 6.36396 & -16.0306 \tabularnewline
17 & 4228 & 4338.67 & 4332.19 & 6.48375 & -110.671 \tabularnewline
18 & 4113 & 4266.49 & 4284.81 & -18.3235 & -153.489 \tabularnewline
19 & 4268.5 & 4246.24 & 4252.35 & -6.11868 & 22.2645 \tabularnewline
20 & 4259.5 & 4245.63 & 4230.38 & 15.2563 & 13.8687 \tabularnewline
21 & 4183.5 & 4211.93 & 4212.1 & -0.176553 & -28.4276 \tabularnewline
22 & 4190.5 & 4201.16 & 4195.98 & 5.18224 & -10.6614 \tabularnewline
23 & 4099 & 4168.14 & 4185.12 & -16.9821 & -69.1429 \tabularnewline
24 & 4179 & 4183.38 & 4186.79 & -3.41035 & -4.38132 \tabularnewline
25 & 4211.5 & 4173.04 & 4191.17 & -18.1233 & 38.4566 \tabularnewline
26 & 4160.5 & 4198.02 & 4183.94 & 14.085 & -37.5225 \tabularnewline
27 & 4169.5 & 4190.49 & 4174.73 & 15.7633 & -20.9924 \tabularnewline
28 & 4197.5 & 4176.88 & 4170.52 & 6.36396 & 20.6152 \tabularnewline
29 & 4151 & 4173.82 & 4167.33 & 6.48375 & -22.8171 \tabularnewline
30 & 4230 & 4142.97 & 4161.29 & -18.3235 & 87.0319 \tabularnewline
31 & 4256.5 & 4137.51 & 4143.62 & -6.11868 & 118.994 \tabularnewline
32 & 4098 & 4147.49 & 4132.23 & 15.2563 & -49.4855 \tabularnewline
33 & 4124 & 4134.66 & 4134.83 & -0.176553 & -10.6568 \tabularnewline
34 & 4149 & 4140.29 & 4135.1 & 5.18224 & 8.71359 \tabularnewline
35 & 4064 & 4120.33 & 4137.31 & -16.9821 & -56.3304 \tabularnewline
36 & 4069 & 4137.76 & 4141.17 & -3.41035 & -68.7563 \tabularnewline
37 & 3897.5 & 4120 & 4138.12 & -18.1233 & -222.502 \tabularnewline
38 & 4201 & 4146.9 & 4132.81 & 14.085 & 54.1025 \tabularnewline
39 & 4191.5 & 4148.6 & 4132.83 & 15.7633 & 42.9034 \tabularnewline
40 & 4182 & 4139.34 & 4132.98 & 6.36396 & 42.6569 \tabularnewline
41 & 4219.5 & 4138.96 & 4132.48 & 6.48375 & 80.5371 \tabularnewline
42 & 4254 & 4109.49 & 4127.81 & -18.3235 & 144.511 \tabularnewline
43 & 4159.5 & 4118.4 & 4124.52 & -6.11868 & 41.0978 \tabularnewline
44 & 4067.5 & 4130.61 & 4115.35 & 15.2563 & -63.1105 \tabularnewline
45 & 4155 & 4093.14 & 4093.31 & -0.176553 & 61.8641 \tabularnewline
46 & 4121.5 & 4070.52 & 4065.33 & 5.18224 & 50.9844 \tabularnewline
47 & 4079.5 & 4013.21 & 4030.19 & -16.9821 & 66.2946 \tabularnewline
48 & 3941.5 & 3985.63 & 3989.04 & -3.41035 & -44.1313 \tabularnewline
49 & 3946 & 3925.9 & 3944.02 & -18.1233 & 20.1025 \tabularnewline
50 & 3932.5 & 3918 & 3903.92 & 14.085 & 14.4983 \tabularnewline
51 & 3931 & 3876.3 & 3860.54 & 15.7633 & 54.6951 \tabularnewline
52 & 3771 & 3820.57 & 3814.21 & 6.36396 & -49.5723 \tabularnewline
53 & 3787 & 3776.11 & 3769.63 & 6.48375 & 10.8913 \tabularnewline
54 & 3699 & 3708.16 & 3726.48 & -18.3235 & -9.15562 \tabularnewline
55 & 3634 & 3681.07 & 3687.19 & -6.11868 & -47.0688 \tabularnewline
56 & 3630.5 & 3663.38 & 3648.12 & 15.2563 & -32.8813 \tabularnewline
57 & 3551 & 3607.91 & 3608.08 & -0.176553 & -56.9068 \tabularnewline
58 & 3613.5 & 3573.12 & 3567.94 & 5.18224 & 40.3803 \tabularnewline
59 & 3517.5 & 3514.79 & 3531.77 & -16.9821 & 2.71128 \tabularnewline
60 & 3468 & 3494.05 & 3497.46 & -3.41035 & -26.048 \tabularnewline
61 & 3476.5 & 3447.77 & 3465.9 & -18.1233 & 28.7275 \tabularnewline
62 & 3464.5 & 3457.46 & 3443.37 & 14.085 & 7.03998 \tabularnewline
63 & 3438 & 3440.05 & 3424.29 & 15.7633 & -2.05493 \tabularnewline
64 & 3300.5 & 3406.55 & 3400.19 & 6.36396 & -106.051 \tabularnewline
65 & 3389.5 & 3382.57 & 3376.08 & 6.48375 & 6.93292 \tabularnewline
66 & 3273 & 3338.68 & 3357 & -18.3235 & -65.6765 \tabularnewline
67 & 3302.5 & 3336.53 & 3342.65 & -6.11868 & -34.0272 \tabularnewline
68 & 3421.5 & 3340.38 & 3325.12 & 15.2563 & 81.1187 \tabularnewline
69 & 3302 & 3299.09 & 3299.27 & -0.176553 & 2.90572 \tabularnewline
70 & 3284 & 3287.7 & 3282.52 & 5.18224 & -3.70308 \tabularnewline
71 & 3268.5 & 3254.35 & 3271.33 & -16.9821 & 14.1488 \tabularnewline
72 & 3259 & 3260.15 & 3263.56 & -3.41035 & -1.15215 \tabularnewline
73 & 3341 & 3243.79 & 3261.92 & -18.1233 & 97.2066 \tabularnewline
74 & 3179.5 & 3266.79 & 3252.71 & 14.085 & -87.2934 \tabularnewline
75 & 3102.5 & 3261.26 & 3245.5 & 15.7633 & -158.763 \tabularnewline
76 & 3234 & 3252.86 & 3246.5 & 6.36396 & -18.864 \tabularnewline
77 & 3187.5 & 3258.19 & 3251.71 & 6.48375 & -70.6921 \tabularnewline
78 & 3288.5 & 3240.41 & 3258.73 & -18.3235 & 48.0944 \tabularnewline
79 & 3247.5 & 3254.24 & 3260.35 & -6.11868 & -6.73548 \tabularnewline
80 & 3255.5 & 3278.84 & 3263.58 & 15.2563 & -23.3397 \tabularnewline
81 & 3295 & 3274.05 & 3274.23 & -0.176553 & 20.9474 \tabularnewline
82 & 3315 & 3290.35 & 3285.17 & 5.18224 & 24.6511 \tabularnewline
83 & 3362.5 & 3277.85 & 3294.83 & -16.9821 & 84.6488 \tabularnewline
84 & 3333.5 & 3292.69 & 3296.1 & -3.41035 & 40.8062 \tabularnewline
85 & 3305.5 & 3279.02 & 3297.15 & -18.1233 & 26.4775 \tabularnewline
86 & 3292.5 & 3326.09 & 3312 & 14.085 & -33.585 \tabularnewline
87 & 3245 & 3349.12 & 3333.35 & 15.7633 & -104.117 \tabularnewline
88 & 3354 & 3362.36 & 3356 & 6.36396 & -8.36396 \tabularnewline
89 & 3299.5 & 3390.4 & 3383.92 & 6.48375 & -90.9004 \tabularnewline
90 & 3207 & 3404.01 & 3422.33 & -18.3235 & -197.01 \tabularnewline
91 & 3354 & 3463.61 & 3469.73 & -6.11868 & -109.61 \tabularnewline
92 & 3505.5 & 3542.94 & 3527.69 & 15.2563 & -37.4438 \tabularnewline
93 & 3557.5 & 3601.43 & 3601.6 & -0.176553 & -43.9276 \tabularnewline
94 & 3596 & 3681.31 & 3676.12 & 5.18224 & -85.3072 \tabularnewline
95 & 3751.5 & 3732.93 & 3749.92 & -16.9821 & 18.5654 \tabularnewline
96 & 3866.5 & 3830.15 & 3833.56 & -3.41035 & 36.3478 \tabularnewline
97 & 3910 & 3893.17 & 3911.29 & -18.1233 & 16.8316 \tabularnewline
98 & 4079 & 3989.73 & 3975.65 & 14.085 & 89.2691 \tabularnewline
99 & 4232.5 & 4049.39 & 4033.62 & 15.7633 & 183.112 \tabularnewline
100 & 4155 & 4097.05 & 4090.69 & 6.36396 & 57.9485 \tabularnewline
101 & 4269.5 & 4150.44 & 4143.96 & 6.48375 & 119.058 \tabularnewline
102 & 4244.5 & 4176.47 & 4194.79 & -18.3235 & 68.0319 \tabularnewline
103 & 4182 & 4240.15 & 4246.27 & -6.11868 & -58.1522 \tabularnewline
104 & 4222 & 4310.09 & 4294.83 & 15.2563 & -88.0897 \tabularnewline
105 & 4232.5 & 4335.43 & 4335.6 & -0.176553 & -102.928 \tabularnewline
106 & 4290.5 & 4377.49 & 4372.31 & 5.18224 & -86.9947 \tabularnewline
107 & 4335.5 & 4394.91 & 4411.9 & -16.9821 & -59.4137 \tabularnewline
108 & 4502.5 & 4455.26 & 4458.67 & -3.41035 & 47.2437 \tabularnewline
109 & 4509.5 & 4492.9 & 4511.02 & -18.1233 & 16.6025 \tabularnewline
110 & 4645 & 4574.63 & 4560.54 & 14.085 & 70.3733 \tabularnewline
111 & 4645 & 4622.45 & 4606.69 & 15.7633 & 22.5492 \tabularnewline
112 & 4623.5 & NA & NA & 6.36396 & NA \tabularnewline
113 & 4751 & NA & NA & 6.48375 & NA \tabularnewline
114 & 4885.5 & NA & NA & -18.3235 & NA \tabularnewline
115 & 4797.5 & NA & NA & -6.11868 & NA \tabularnewline
116 & 4795 & NA & NA & 15.2563 & NA \tabularnewline
117 & 4767 & NA & NA & -0.176553 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298966&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]5767[/C][C]NA[/C][C]NA[/C][C]-18.1233[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]5772.5[/C][C]NA[/C][C]NA[/C][C]14.085[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]5704[/C][C]NA[/C][C]NA[/C][C]15.7633[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]5634[/C][C]NA[/C][C]NA[/C][C]6.36396[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]5577[/C][C]NA[/C][C]NA[/C][C]6.48375[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]5623[/C][C]NA[/C][C]NA[/C][C]-18.3235[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]5274[/C][C]5288.13[/C][C]5294.25[/C][C]-6.11868[/C][C]-14.1313[/C][/ROW]
[ROW][C]8[/C][C]5311.5[/C][C]5199.51[/C][C]5184.25[/C][C]15.2563[/C][C]111.994[/C][/ROW]
[ROW][C]9[/C][C]5141[/C][C]5071.24[/C][C]5071.42[/C][C]-0.176553[/C][C]69.7599[/C][/ROW]
[ROW][C]10[/C][C]4943.5[/C][C]4968.93[/C][C]4963.75[/C][C]5.18224[/C][C]-25.4322[/C][/ROW]
[ROW][C]11[/C][C]4749.5[/C][C]4838.35[/C][C]4855.33[/C][C]-16.9821[/C][C]-88.8512[/C][/ROW]
[ROW][C]12[/C][C]4665.5[/C][C]4732.8[/C][C]4736.21[/C][C]-3.41035[/C][C]-67.298[/C][/ROW]
[ROW][C]13[/C][C]4504[/C][C]4613.27[/C][C]4631.4[/C][C]-18.1233[/C][C]-109.273[/C][/ROW]
[ROW][C]14[/C][C]4395.5[/C][C]4559.75[/C][C]4545.67[/C][C]14.085[/C][C]-164.252[/C][/ROW]
[ROW][C]15[/C][C]4373[/C][C]4477.7[/C][C]4461.94[/C][C]15.7633[/C][C]-104.701[/C][/ROW]
[ROW][C]16[/C][C]4381[/C][C]4397.03[/C][C]4390.67[/C][C]6.36396[/C][C]-16.0306[/C][/ROW]
[ROW][C]17[/C][C]4228[/C][C]4338.67[/C][C]4332.19[/C][C]6.48375[/C][C]-110.671[/C][/ROW]
[ROW][C]18[/C][C]4113[/C][C]4266.49[/C][C]4284.81[/C][C]-18.3235[/C][C]-153.489[/C][/ROW]
[ROW][C]19[/C][C]4268.5[/C][C]4246.24[/C][C]4252.35[/C][C]-6.11868[/C][C]22.2645[/C][/ROW]
[ROW][C]20[/C][C]4259.5[/C][C]4245.63[/C][C]4230.38[/C][C]15.2563[/C][C]13.8687[/C][/ROW]
[ROW][C]21[/C][C]4183.5[/C][C]4211.93[/C][C]4212.1[/C][C]-0.176553[/C][C]-28.4276[/C][/ROW]
[ROW][C]22[/C][C]4190.5[/C][C]4201.16[/C][C]4195.98[/C][C]5.18224[/C][C]-10.6614[/C][/ROW]
[ROW][C]23[/C][C]4099[/C][C]4168.14[/C][C]4185.12[/C][C]-16.9821[/C][C]-69.1429[/C][/ROW]
[ROW][C]24[/C][C]4179[/C][C]4183.38[/C][C]4186.79[/C][C]-3.41035[/C][C]-4.38132[/C][/ROW]
[ROW][C]25[/C][C]4211.5[/C][C]4173.04[/C][C]4191.17[/C][C]-18.1233[/C][C]38.4566[/C][/ROW]
[ROW][C]26[/C][C]4160.5[/C][C]4198.02[/C][C]4183.94[/C][C]14.085[/C][C]-37.5225[/C][/ROW]
[ROW][C]27[/C][C]4169.5[/C][C]4190.49[/C][C]4174.73[/C][C]15.7633[/C][C]-20.9924[/C][/ROW]
[ROW][C]28[/C][C]4197.5[/C][C]4176.88[/C][C]4170.52[/C][C]6.36396[/C][C]20.6152[/C][/ROW]
[ROW][C]29[/C][C]4151[/C][C]4173.82[/C][C]4167.33[/C][C]6.48375[/C][C]-22.8171[/C][/ROW]
[ROW][C]30[/C][C]4230[/C][C]4142.97[/C][C]4161.29[/C][C]-18.3235[/C][C]87.0319[/C][/ROW]
[ROW][C]31[/C][C]4256.5[/C][C]4137.51[/C][C]4143.62[/C][C]-6.11868[/C][C]118.994[/C][/ROW]
[ROW][C]32[/C][C]4098[/C][C]4147.49[/C][C]4132.23[/C][C]15.2563[/C][C]-49.4855[/C][/ROW]
[ROW][C]33[/C][C]4124[/C][C]4134.66[/C][C]4134.83[/C][C]-0.176553[/C][C]-10.6568[/C][/ROW]
[ROW][C]34[/C][C]4149[/C][C]4140.29[/C][C]4135.1[/C][C]5.18224[/C][C]8.71359[/C][/ROW]
[ROW][C]35[/C][C]4064[/C][C]4120.33[/C][C]4137.31[/C][C]-16.9821[/C][C]-56.3304[/C][/ROW]
[ROW][C]36[/C][C]4069[/C][C]4137.76[/C][C]4141.17[/C][C]-3.41035[/C][C]-68.7563[/C][/ROW]
[ROW][C]37[/C][C]3897.5[/C][C]4120[/C][C]4138.12[/C][C]-18.1233[/C][C]-222.502[/C][/ROW]
[ROW][C]38[/C][C]4201[/C][C]4146.9[/C][C]4132.81[/C][C]14.085[/C][C]54.1025[/C][/ROW]
[ROW][C]39[/C][C]4191.5[/C][C]4148.6[/C][C]4132.83[/C][C]15.7633[/C][C]42.9034[/C][/ROW]
[ROW][C]40[/C][C]4182[/C][C]4139.34[/C][C]4132.98[/C][C]6.36396[/C][C]42.6569[/C][/ROW]
[ROW][C]41[/C][C]4219.5[/C][C]4138.96[/C][C]4132.48[/C][C]6.48375[/C][C]80.5371[/C][/ROW]
[ROW][C]42[/C][C]4254[/C][C]4109.49[/C][C]4127.81[/C][C]-18.3235[/C][C]144.511[/C][/ROW]
[ROW][C]43[/C][C]4159.5[/C][C]4118.4[/C][C]4124.52[/C][C]-6.11868[/C][C]41.0978[/C][/ROW]
[ROW][C]44[/C][C]4067.5[/C][C]4130.61[/C][C]4115.35[/C][C]15.2563[/C][C]-63.1105[/C][/ROW]
[ROW][C]45[/C][C]4155[/C][C]4093.14[/C][C]4093.31[/C][C]-0.176553[/C][C]61.8641[/C][/ROW]
[ROW][C]46[/C][C]4121.5[/C][C]4070.52[/C][C]4065.33[/C][C]5.18224[/C][C]50.9844[/C][/ROW]
[ROW][C]47[/C][C]4079.5[/C][C]4013.21[/C][C]4030.19[/C][C]-16.9821[/C][C]66.2946[/C][/ROW]
[ROW][C]48[/C][C]3941.5[/C][C]3985.63[/C][C]3989.04[/C][C]-3.41035[/C][C]-44.1313[/C][/ROW]
[ROW][C]49[/C][C]3946[/C][C]3925.9[/C][C]3944.02[/C][C]-18.1233[/C][C]20.1025[/C][/ROW]
[ROW][C]50[/C][C]3932.5[/C][C]3918[/C][C]3903.92[/C][C]14.085[/C][C]14.4983[/C][/ROW]
[ROW][C]51[/C][C]3931[/C][C]3876.3[/C][C]3860.54[/C][C]15.7633[/C][C]54.6951[/C][/ROW]
[ROW][C]52[/C][C]3771[/C][C]3820.57[/C][C]3814.21[/C][C]6.36396[/C][C]-49.5723[/C][/ROW]
[ROW][C]53[/C][C]3787[/C][C]3776.11[/C][C]3769.63[/C][C]6.48375[/C][C]10.8913[/C][/ROW]
[ROW][C]54[/C][C]3699[/C][C]3708.16[/C][C]3726.48[/C][C]-18.3235[/C][C]-9.15562[/C][/ROW]
[ROW][C]55[/C][C]3634[/C][C]3681.07[/C][C]3687.19[/C][C]-6.11868[/C][C]-47.0688[/C][/ROW]
[ROW][C]56[/C][C]3630.5[/C][C]3663.38[/C][C]3648.12[/C][C]15.2563[/C][C]-32.8813[/C][/ROW]
[ROW][C]57[/C][C]3551[/C][C]3607.91[/C][C]3608.08[/C][C]-0.176553[/C][C]-56.9068[/C][/ROW]
[ROW][C]58[/C][C]3613.5[/C][C]3573.12[/C][C]3567.94[/C][C]5.18224[/C][C]40.3803[/C][/ROW]
[ROW][C]59[/C][C]3517.5[/C][C]3514.79[/C][C]3531.77[/C][C]-16.9821[/C][C]2.71128[/C][/ROW]
[ROW][C]60[/C][C]3468[/C][C]3494.05[/C][C]3497.46[/C][C]-3.41035[/C][C]-26.048[/C][/ROW]
[ROW][C]61[/C][C]3476.5[/C][C]3447.77[/C][C]3465.9[/C][C]-18.1233[/C][C]28.7275[/C][/ROW]
[ROW][C]62[/C][C]3464.5[/C][C]3457.46[/C][C]3443.37[/C][C]14.085[/C][C]7.03998[/C][/ROW]
[ROW][C]63[/C][C]3438[/C][C]3440.05[/C][C]3424.29[/C][C]15.7633[/C][C]-2.05493[/C][/ROW]
[ROW][C]64[/C][C]3300.5[/C][C]3406.55[/C][C]3400.19[/C][C]6.36396[/C][C]-106.051[/C][/ROW]
[ROW][C]65[/C][C]3389.5[/C][C]3382.57[/C][C]3376.08[/C][C]6.48375[/C][C]6.93292[/C][/ROW]
[ROW][C]66[/C][C]3273[/C][C]3338.68[/C][C]3357[/C][C]-18.3235[/C][C]-65.6765[/C][/ROW]
[ROW][C]67[/C][C]3302.5[/C][C]3336.53[/C][C]3342.65[/C][C]-6.11868[/C][C]-34.0272[/C][/ROW]
[ROW][C]68[/C][C]3421.5[/C][C]3340.38[/C][C]3325.12[/C][C]15.2563[/C][C]81.1187[/C][/ROW]
[ROW][C]69[/C][C]3302[/C][C]3299.09[/C][C]3299.27[/C][C]-0.176553[/C][C]2.90572[/C][/ROW]
[ROW][C]70[/C][C]3284[/C][C]3287.7[/C][C]3282.52[/C][C]5.18224[/C][C]-3.70308[/C][/ROW]
[ROW][C]71[/C][C]3268.5[/C][C]3254.35[/C][C]3271.33[/C][C]-16.9821[/C][C]14.1488[/C][/ROW]
[ROW][C]72[/C][C]3259[/C][C]3260.15[/C][C]3263.56[/C][C]-3.41035[/C][C]-1.15215[/C][/ROW]
[ROW][C]73[/C][C]3341[/C][C]3243.79[/C][C]3261.92[/C][C]-18.1233[/C][C]97.2066[/C][/ROW]
[ROW][C]74[/C][C]3179.5[/C][C]3266.79[/C][C]3252.71[/C][C]14.085[/C][C]-87.2934[/C][/ROW]
[ROW][C]75[/C][C]3102.5[/C][C]3261.26[/C][C]3245.5[/C][C]15.7633[/C][C]-158.763[/C][/ROW]
[ROW][C]76[/C][C]3234[/C][C]3252.86[/C][C]3246.5[/C][C]6.36396[/C][C]-18.864[/C][/ROW]
[ROW][C]77[/C][C]3187.5[/C][C]3258.19[/C][C]3251.71[/C][C]6.48375[/C][C]-70.6921[/C][/ROW]
[ROW][C]78[/C][C]3288.5[/C][C]3240.41[/C][C]3258.73[/C][C]-18.3235[/C][C]48.0944[/C][/ROW]
[ROW][C]79[/C][C]3247.5[/C][C]3254.24[/C][C]3260.35[/C][C]-6.11868[/C][C]-6.73548[/C][/ROW]
[ROW][C]80[/C][C]3255.5[/C][C]3278.84[/C][C]3263.58[/C][C]15.2563[/C][C]-23.3397[/C][/ROW]
[ROW][C]81[/C][C]3295[/C][C]3274.05[/C][C]3274.23[/C][C]-0.176553[/C][C]20.9474[/C][/ROW]
[ROW][C]82[/C][C]3315[/C][C]3290.35[/C][C]3285.17[/C][C]5.18224[/C][C]24.6511[/C][/ROW]
[ROW][C]83[/C][C]3362.5[/C][C]3277.85[/C][C]3294.83[/C][C]-16.9821[/C][C]84.6488[/C][/ROW]
[ROW][C]84[/C][C]3333.5[/C][C]3292.69[/C][C]3296.1[/C][C]-3.41035[/C][C]40.8062[/C][/ROW]
[ROW][C]85[/C][C]3305.5[/C][C]3279.02[/C][C]3297.15[/C][C]-18.1233[/C][C]26.4775[/C][/ROW]
[ROW][C]86[/C][C]3292.5[/C][C]3326.09[/C][C]3312[/C][C]14.085[/C][C]-33.585[/C][/ROW]
[ROW][C]87[/C][C]3245[/C][C]3349.12[/C][C]3333.35[/C][C]15.7633[/C][C]-104.117[/C][/ROW]
[ROW][C]88[/C][C]3354[/C][C]3362.36[/C][C]3356[/C][C]6.36396[/C][C]-8.36396[/C][/ROW]
[ROW][C]89[/C][C]3299.5[/C][C]3390.4[/C][C]3383.92[/C][C]6.48375[/C][C]-90.9004[/C][/ROW]
[ROW][C]90[/C][C]3207[/C][C]3404.01[/C][C]3422.33[/C][C]-18.3235[/C][C]-197.01[/C][/ROW]
[ROW][C]91[/C][C]3354[/C][C]3463.61[/C][C]3469.73[/C][C]-6.11868[/C][C]-109.61[/C][/ROW]
[ROW][C]92[/C][C]3505.5[/C][C]3542.94[/C][C]3527.69[/C][C]15.2563[/C][C]-37.4438[/C][/ROW]
[ROW][C]93[/C][C]3557.5[/C][C]3601.43[/C][C]3601.6[/C][C]-0.176553[/C][C]-43.9276[/C][/ROW]
[ROW][C]94[/C][C]3596[/C][C]3681.31[/C][C]3676.12[/C][C]5.18224[/C][C]-85.3072[/C][/ROW]
[ROW][C]95[/C][C]3751.5[/C][C]3732.93[/C][C]3749.92[/C][C]-16.9821[/C][C]18.5654[/C][/ROW]
[ROW][C]96[/C][C]3866.5[/C][C]3830.15[/C][C]3833.56[/C][C]-3.41035[/C][C]36.3478[/C][/ROW]
[ROW][C]97[/C][C]3910[/C][C]3893.17[/C][C]3911.29[/C][C]-18.1233[/C][C]16.8316[/C][/ROW]
[ROW][C]98[/C][C]4079[/C][C]3989.73[/C][C]3975.65[/C][C]14.085[/C][C]89.2691[/C][/ROW]
[ROW][C]99[/C][C]4232.5[/C][C]4049.39[/C][C]4033.62[/C][C]15.7633[/C][C]183.112[/C][/ROW]
[ROW][C]100[/C][C]4155[/C][C]4097.05[/C][C]4090.69[/C][C]6.36396[/C][C]57.9485[/C][/ROW]
[ROW][C]101[/C][C]4269.5[/C][C]4150.44[/C][C]4143.96[/C][C]6.48375[/C][C]119.058[/C][/ROW]
[ROW][C]102[/C][C]4244.5[/C][C]4176.47[/C][C]4194.79[/C][C]-18.3235[/C][C]68.0319[/C][/ROW]
[ROW][C]103[/C][C]4182[/C][C]4240.15[/C][C]4246.27[/C][C]-6.11868[/C][C]-58.1522[/C][/ROW]
[ROW][C]104[/C][C]4222[/C][C]4310.09[/C][C]4294.83[/C][C]15.2563[/C][C]-88.0897[/C][/ROW]
[ROW][C]105[/C][C]4232.5[/C][C]4335.43[/C][C]4335.6[/C][C]-0.176553[/C][C]-102.928[/C][/ROW]
[ROW][C]106[/C][C]4290.5[/C][C]4377.49[/C][C]4372.31[/C][C]5.18224[/C][C]-86.9947[/C][/ROW]
[ROW][C]107[/C][C]4335.5[/C][C]4394.91[/C][C]4411.9[/C][C]-16.9821[/C][C]-59.4137[/C][/ROW]
[ROW][C]108[/C][C]4502.5[/C][C]4455.26[/C][C]4458.67[/C][C]-3.41035[/C][C]47.2437[/C][/ROW]
[ROW][C]109[/C][C]4509.5[/C][C]4492.9[/C][C]4511.02[/C][C]-18.1233[/C][C]16.6025[/C][/ROW]
[ROW][C]110[/C][C]4645[/C][C]4574.63[/C][C]4560.54[/C][C]14.085[/C][C]70.3733[/C][/ROW]
[ROW][C]111[/C][C]4645[/C][C]4622.45[/C][C]4606.69[/C][C]15.7633[/C][C]22.5492[/C][/ROW]
[ROW][C]112[/C][C]4623.5[/C][C]NA[/C][C]NA[/C][C]6.36396[/C][C]NA[/C][/ROW]
[ROW][C]113[/C][C]4751[/C][C]NA[/C][C]NA[/C][C]6.48375[/C][C]NA[/C][/ROW]
[ROW][C]114[/C][C]4885.5[/C][C]NA[/C][C]NA[/C][C]-18.3235[/C][C]NA[/C][/ROW]
[ROW][C]115[/C][C]4797.5[/C][C]NA[/C][C]NA[/C][C]-6.11868[/C][C]NA[/C][/ROW]
[ROW][C]116[/C][C]4795[/C][C]NA[/C][C]NA[/C][C]15.2563[/C][C]NA[/C][/ROW]
[ROW][C]117[/C][C]4767[/C][C]NA[/C][C]NA[/C][C]-0.176553[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=298966&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298966&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
15767NANA-18.1233NA
25772.5NANA14.085NA
35704NANA15.7633NA
45634NANA6.36396NA
55577NANA6.48375NA
65623NANA-18.3235NA
752745288.135294.25-6.11868-14.1313
85311.55199.515184.2515.2563111.994
951415071.245071.42-0.17655369.7599
104943.54968.934963.755.18224-25.4322
114749.54838.354855.33-16.9821-88.8512
124665.54732.84736.21-3.41035-67.298
1345044613.274631.4-18.1233-109.273
144395.54559.754545.6714.085-164.252
1543734477.74461.9415.7633-104.701
1643814397.034390.676.36396-16.0306
1742284338.674332.196.48375-110.671
1841134266.494284.81-18.3235-153.489
194268.54246.244252.35-6.1186822.2645
204259.54245.634230.3815.256313.8687
214183.54211.934212.1-0.176553-28.4276
224190.54201.164195.985.18224-10.6614
2340994168.144185.12-16.9821-69.1429
2441794183.384186.79-3.41035-4.38132
254211.54173.044191.17-18.123338.4566
264160.54198.024183.9414.085-37.5225
274169.54190.494174.7315.7633-20.9924
284197.54176.884170.526.3639620.6152
2941514173.824167.336.48375-22.8171
3042304142.974161.29-18.323587.0319
314256.54137.514143.62-6.11868118.994
3240984147.494132.2315.2563-49.4855
3341244134.664134.83-0.176553-10.6568
3441494140.294135.15.182248.71359
3540644120.334137.31-16.9821-56.3304
3640694137.764141.17-3.41035-68.7563
373897.541204138.12-18.1233-222.502
3842014146.94132.8114.08554.1025
394191.54148.64132.8315.763342.9034
4041824139.344132.986.3639642.6569
414219.54138.964132.486.4837580.5371
4242544109.494127.81-18.3235144.511
434159.54118.44124.52-6.1186841.0978
444067.54130.614115.3515.2563-63.1105
4541554093.144093.31-0.17655361.8641
464121.54070.524065.335.1822450.9844
474079.54013.214030.19-16.982166.2946
483941.53985.633989.04-3.41035-44.1313
4939463925.93944.02-18.123320.1025
503932.539183903.9214.08514.4983
5139313876.33860.5415.763354.6951
5237713820.573814.216.36396-49.5723
5337873776.113769.636.4837510.8913
5436993708.163726.48-18.3235-9.15562
5536343681.073687.19-6.11868-47.0688
563630.53663.383648.1215.2563-32.8813
5735513607.913608.08-0.176553-56.9068
583613.53573.123567.945.1822440.3803
593517.53514.793531.77-16.98212.71128
6034683494.053497.46-3.41035-26.048
613476.53447.773465.9-18.123328.7275
623464.53457.463443.3714.0857.03998
6334383440.053424.2915.7633-2.05493
643300.53406.553400.196.36396-106.051
653389.53382.573376.086.483756.93292
6632733338.683357-18.3235-65.6765
673302.53336.533342.65-6.11868-34.0272
683421.53340.383325.1215.256381.1187
6933023299.093299.27-0.1765532.90572
7032843287.73282.525.18224-3.70308
713268.53254.353271.33-16.982114.1488
7232593260.153263.56-3.41035-1.15215
7333413243.793261.92-18.123397.2066
743179.53266.793252.7114.085-87.2934
753102.53261.263245.515.7633-158.763
7632343252.863246.56.36396-18.864
773187.53258.193251.716.48375-70.6921
783288.53240.413258.73-18.323548.0944
793247.53254.243260.35-6.11868-6.73548
803255.53278.843263.5815.2563-23.3397
8132953274.053274.23-0.17655320.9474
8233153290.353285.175.1822424.6511
833362.53277.853294.83-16.982184.6488
843333.53292.693296.1-3.4103540.8062
853305.53279.023297.15-18.123326.4775
863292.53326.09331214.085-33.585
8732453349.123333.3515.7633-104.117
8833543362.3633566.36396-8.36396
893299.53390.43383.926.48375-90.9004
9032073404.013422.33-18.3235-197.01
9133543463.613469.73-6.11868-109.61
923505.53542.943527.6915.2563-37.4438
933557.53601.433601.6-0.176553-43.9276
9435963681.313676.125.18224-85.3072
953751.53732.933749.92-16.982118.5654
963866.53830.153833.56-3.4103536.3478
9739103893.173911.29-18.123316.8316
9840793989.733975.6514.08589.2691
994232.54049.394033.6215.7633183.112
10041554097.054090.696.3639657.9485
1014269.54150.444143.966.48375119.058
1024244.54176.474194.79-18.323568.0319
10341824240.154246.27-6.11868-58.1522
10442224310.094294.8315.2563-88.0897
1054232.54335.434335.6-0.176553-102.928
1064290.54377.494372.315.18224-86.9947
1074335.54394.914411.9-16.9821-59.4137
1084502.54455.264458.67-3.4103547.2437
1094509.54492.94511.02-18.123316.6025
11046454574.634560.5414.08570.3733
11146454622.454606.6915.763322.5492
1124623.5NANA6.36396NA
1134751NANA6.48375NA
1144885.5NANA-18.3235NA
1154797.5NANA-6.11868NA
1164795NANA15.2563NA
1174767NANA-0.176553NA



Parameters (Session):
par1 = additive ; par2 = 12 ;
Parameters (R input):
par1 = additive ; par2 = 12 ;
R code (references can be found in the software module):
par2 <- as.numeric(par2)
x <- ts(x,freq=par2)
m <- decompose(x,type=par1)
m$figure
bitmap(file='test1.png')
plot(m)
dev.off()
mylagmax <- length(x)/2
bitmap(file='test2.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(x),lag.max = mylagmax,main='Observed')
acf(as.numeric(m$trend),na.action=na.pass,lag.max = mylagmax,main='Trend')
acf(as.numeric(m$seasonal),na.action=na.pass,lag.max = mylagmax,main='Seasonal')
acf(as.numeric(m$random),na.action=na.pass,lag.max = mylagmax,main='Random')
par(op)
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
spectrum(as.numeric(x),main='Observed')
spectrum(as.numeric(m$trend[!is.na(m$trend)]),main='Trend')
spectrum(as.numeric(m$seasonal[!is.na(m$seasonal)]),main='Seasonal')
spectrum(as.numeric(m$random[!is.na(m$random)]),main='Random')
par(op)
dev.off()
bitmap(file='test4.png')
op <- par(mfrow = c(2,2))
cpgram(as.numeric(x),main='Observed')
cpgram(as.numeric(m$trend[!is.na(m$trend)]),main='Trend')
cpgram(as.numeric(m$seasonal[!is.na(m$seasonal)]),main='Seasonal')
cpgram(as.numeric(m$random[!is.na(m$random)]),main='Random')
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Classical Decomposition by Moving Averages',6,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Observations',header=TRUE)
a<-table.element(a,'Fit',header=TRUE)
a<-table.element(a,'Trend',header=TRUE)
a<-table.element(a,'Seasonal',header=TRUE)
a<-table.element(a,'Random',header=TRUE)
a<-table.row.end(a)
for (i in 1:length(m$trend)) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
if (par1 == 'additive') a<-table.element(a,signif(m$trend[i]+m$seasonal[i],6)) else a<-table.element(a,signif(m$trend[i]*m$seasonal[i],6))
a<-table.element(a,signif(m$trend[i],6))
a<-table.element(a,signif(m$seasonal[i],6))
a<-table.element(a,signif(m$random[i],6))
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')