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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, 07 Dec 2016 13:12:57 +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/07/t1481112802pol4eh6rbxkq6yk.htm/, Retrieved Tue, 07 May 2024 16:15:08 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=298030, Retrieved Tue, 07 May 2024 16:15:08 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact78
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [FORECASTING : cla...] [2016-12-07 12:12:57] [4d72a1efe36cb2a85639504d1000816e] [Current]
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Dataseries X:
4435
4610
4955
5195
5290
5150
5375
5250
5020
5320
5305
5550
5175
5060
4910
4945
4840
4445
4145
4200
4605
4780
4840
5155
4520
4610
4755
4890
4830
4780
4550
4455
4340
4265
3900
3925
3855
3945
4095
4160
3985
3925
3935
3505
3435
3795
3685
3555
3895
3760
4020
4010
4200
3990
4320
4375
4270
4265
4245
3975
3990
4340
4625
4830
4745
4715
4470
4400
4535
4175
4245
4425
4215
4120
4515
4605
4610
4620
4495
4190
4205
4220
3870
4350
3950
3830
4505
4405
4540
4525
4575
4470
4425
4230
4110
4655
4275
4350
4455
4420
4500
4435
4720
4830
4810
4745
4870
4970
4550
4540
4840
4710
4520
4490
4630
4725
4770
4900
4795
4805
4635
4635
4775
4725
4650
4550




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=298030&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=298030&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298030&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
14435NANA-163.958NA
24610NANA-143.634NA
34955NANA100.509NA
45195NANA131.945NA
55290NANA113.472NA
65150NANA25.3937NA
753755193.645152.0841.5557181.361
852505160.785201.67-40.881889.2151
950205179.815218.54-38.7359-159.806
1053205198.225206.25-8.02758121.778
1153055090.685177.08-86.4026214.319
1255505197.725128.9668.7641352.278
1351754884.385048.33-163.958290.625
1450604809.74953.33-143.634250.301
1549104992.84892.29100.509-82.8011
1649454984.444852.5131.945-39.4446
1748404924.14810.62113.472-84.0974
1844454800.194774.7925.3937-355.185
1941454772.64731.0441.5557-627.597
2042004644.124685-40.8818-444.118
2146054621.064659.79-38.7359-16.0557
2247804643.014651.04-8.02758136.986
2348404561.934648.33-86.4026278.069
2451554730.644661.8868.7641424.361
2545204528.754692.71-163.958-8.75019
2646104576.574720.21-143.63433.4257
2747554820.34719.79100.509-65.3011
2848904819.244687.29131.94570.7637
2948304740.144626.67113.47289.8609
3047804561.644536.2525.3937218.356
3145504498.854457.2941.555751.1526
3244554360.994401.87-40.881894.0068
3343404307.934346.67-38.735932.0693
3442654280.724288.75-8.02758-15.7224
3539004136.724223.12-86.4026-236.722
3639254221.064152.2968.7641-296.056
3738553927.084091.04-163.958-72.0835
3839453882.24025.83-143.63462.8007
3940954049.053948.54100.50945.9489
4041604023.193891.25131.945136.805
4139853976.183862.71113.4728.81925
4239253863.733838.3325.393761.273
4339353866.143824.5841.555768.8609
4435053777.663818.54-40.8818-272.66
4534353768.973807.71-38.7359-333.972
4637953790.313798.33-8.027584.69425
4736853714.643801.04-86.4026-29.6391
4835553881.473812.7168.7641-326.472
4938953667.53831.46-163.958227.5
5037603740.123883.75-143.63419.8841
5140204055.33954.79100.509-35.3011
5240104141.114009.17131.945-131.111
5342004165.564052.08113.47234.4443
5439904118.314092.9225.3937-128.31
5543204155.934114.3841.5557164.069
5643754101.624142.5-40.8818273.382
5742704153.144191.88-38.7359116.861
5842654243.224251.25-8.0275821.7776
5942454221.724308.12-86.402623.2776
6039754429.814361.0468.7641-454.806
6139904233.544397.5-163.958-243.542
6243404261.164404.79-143.63478.8424
6346254517.384416.88100.509107.616
6448304556.114424.17131.945273.889
6547454533.894420.42113.472211.111
6647154464.564439.1725.3937250.44
6744704508.854467.2941.5557-38.8474
6844004426.624467.5-40.8818-26.6182
6945354415.014453.75-38.7359119.986
7041754431.764439.79-8.02758-256.764
7142454338.394424.79-86.4026-93.3891
7244254483.974415.2168.7641-58.9724
7342154248.334412.29-163.958-33.3335
7441204260.954404.58-143.634-140.949
7545154482.594382.08100.50932.4072
7646054502.154370.21131.945102.847
7746104469.934356.46113.472140.069
7846204363.14337.7125.3937256.898
7944954365.14323.5441.5557129.903
8041904259.534300.42-40.8818-69.5349
8142054249.184287.92-38.7359-44.1807
8242204271.144279.17-8.02758-51.1391
8338704181.514267.92-86.4026-311.514
8443504329.814261.0468.764120.1943
8539504096.464260.42-163.958-146.459
8638304131.784275.42-143.634-301.783
8745054396.764296.25100.509108.241
8844054437.784305.83131.945-32.778
8945404429.724316.25113.472110.278
9045254364.354338.9625.3937160.648
9145754406.764365.2141.5557168.236
9244704359.534400.42-40.8818110.465
9344254381.264420-38.735943.7359
9442304410.514418.54-8.02758-180.514
9541104331.14417.5-86.4026-221.097
9646554480.854412.0868.7641174.153
9742754250.424414.38-163.95824.5831
9843504291.784435.42-143.63458.2174
9944554566.974466.46100.509-111.968
10044204635.94503.96131.945-215.903
10145004670.564557.08113.472-170.556
10244354627.274601.8825.3937-192.269
10347204668.014626.4641.555751.9859
10448304604.954645.83-40.8818225.048
10548104631.064669.79-38.7359178.944
10647454689.894697.92-8.0275855.1109
10748704624.434710.83-86.4026245.569
10849704782.724713.9668.7641187.278
10945504548.544712.5-163.9581.45814
11045404560.744704.38-143.634-20.7409
11148404798.844698.33100.50941.1572
11247104835.074703.12131.945-125.07
11345204819.934706.46113.472-299.931
11444904721.854696.4625.3937-231.852
11546304734.684693.1241.5557-104.681
11647254659.744700.62-40.881865.2568
11747704663.144701.88-38.7359106.861
11849004691.764699.79-8.02758208.236
11947954619.434705.83-86.4026175.569
12048054782.514713.7568.764122.4859
1214635NANA-163.958NA
1224635NANA-143.634NA
1234775NANA100.509NA
1244725NANA131.945NA
1254650NANA113.472NA
1264550NANA25.3937NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 4435 & NA & NA & -163.958 & NA \tabularnewline
2 & 4610 & NA & NA & -143.634 & NA \tabularnewline
3 & 4955 & NA & NA & 100.509 & NA \tabularnewline
4 & 5195 & NA & NA & 131.945 & NA \tabularnewline
5 & 5290 & NA & NA & 113.472 & NA \tabularnewline
6 & 5150 & NA & NA & 25.3937 & NA \tabularnewline
7 & 5375 & 5193.64 & 5152.08 & 41.5557 & 181.361 \tabularnewline
8 & 5250 & 5160.78 & 5201.67 & -40.8818 & 89.2151 \tabularnewline
9 & 5020 & 5179.81 & 5218.54 & -38.7359 & -159.806 \tabularnewline
10 & 5320 & 5198.22 & 5206.25 & -8.02758 & 121.778 \tabularnewline
11 & 5305 & 5090.68 & 5177.08 & -86.4026 & 214.319 \tabularnewline
12 & 5550 & 5197.72 & 5128.96 & 68.7641 & 352.278 \tabularnewline
13 & 5175 & 4884.38 & 5048.33 & -163.958 & 290.625 \tabularnewline
14 & 5060 & 4809.7 & 4953.33 & -143.634 & 250.301 \tabularnewline
15 & 4910 & 4992.8 & 4892.29 & 100.509 & -82.8011 \tabularnewline
16 & 4945 & 4984.44 & 4852.5 & 131.945 & -39.4446 \tabularnewline
17 & 4840 & 4924.1 & 4810.62 & 113.472 & -84.0974 \tabularnewline
18 & 4445 & 4800.19 & 4774.79 & 25.3937 & -355.185 \tabularnewline
19 & 4145 & 4772.6 & 4731.04 & 41.5557 & -627.597 \tabularnewline
20 & 4200 & 4644.12 & 4685 & -40.8818 & -444.118 \tabularnewline
21 & 4605 & 4621.06 & 4659.79 & -38.7359 & -16.0557 \tabularnewline
22 & 4780 & 4643.01 & 4651.04 & -8.02758 & 136.986 \tabularnewline
23 & 4840 & 4561.93 & 4648.33 & -86.4026 & 278.069 \tabularnewline
24 & 5155 & 4730.64 & 4661.88 & 68.7641 & 424.361 \tabularnewline
25 & 4520 & 4528.75 & 4692.71 & -163.958 & -8.75019 \tabularnewline
26 & 4610 & 4576.57 & 4720.21 & -143.634 & 33.4257 \tabularnewline
27 & 4755 & 4820.3 & 4719.79 & 100.509 & -65.3011 \tabularnewline
28 & 4890 & 4819.24 & 4687.29 & 131.945 & 70.7637 \tabularnewline
29 & 4830 & 4740.14 & 4626.67 & 113.472 & 89.8609 \tabularnewline
30 & 4780 & 4561.64 & 4536.25 & 25.3937 & 218.356 \tabularnewline
31 & 4550 & 4498.85 & 4457.29 & 41.5557 & 51.1526 \tabularnewline
32 & 4455 & 4360.99 & 4401.87 & -40.8818 & 94.0068 \tabularnewline
33 & 4340 & 4307.93 & 4346.67 & -38.7359 & 32.0693 \tabularnewline
34 & 4265 & 4280.72 & 4288.75 & -8.02758 & -15.7224 \tabularnewline
35 & 3900 & 4136.72 & 4223.12 & -86.4026 & -236.722 \tabularnewline
36 & 3925 & 4221.06 & 4152.29 & 68.7641 & -296.056 \tabularnewline
37 & 3855 & 3927.08 & 4091.04 & -163.958 & -72.0835 \tabularnewline
38 & 3945 & 3882.2 & 4025.83 & -143.634 & 62.8007 \tabularnewline
39 & 4095 & 4049.05 & 3948.54 & 100.509 & 45.9489 \tabularnewline
40 & 4160 & 4023.19 & 3891.25 & 131.945 & 136.805 \tabularnewline
41 & 3985 & 3976.18 & 3862.71 & 113.472 & 8.81925 \tabularnewline
42 & 3925 & 3863.73 & 3838.33 & 25.3937 & 61.273 \tabularnewline
43 & 3935 & 3866.14 & 3824.58 & 41.5557 & 68.8609 \tabularnewline
44 & 3505 & 3777.66 & 3818.54 & -40.8818 & -272.66 \tabularnewline
45 & 3435 & 3768.97 & 3807.71 & -38.7359 & -333.972 \tabularnewline
46 & 3795 & 3790.31 & 3798.33 & -8.02758 & 4.69425 \tabularnewline
47 & 3685 & 3714.64 & 3801.04 & -86.4026 & -29.6391 \tabularnewline
48 & 3555 & 3881.47 & 3812.71 & 68.7641 & -326.472 \tabularnewline
49 & 3895 & 3667.5 & 3831.46 & -163.958 & 227.5 \tabularnewline
50 & 3760 & 3740.12 & 3883.75 & -143.634 & 19.8841 \tabularnewline
51 & 4020 & 4055.3 & 3954.79 & 100.509 & -35.3011 \tabularnewline
52 & 4010 & 4141.11 & 4009.17 & 131.945 & -131.111 \tabularnewline
53 & 4200 & 4165.56 & 4052.08 & 113.472 & 34.4443 \tabularnewline
54 & 3990 & 4118.31 & 4092.92 & 25.3937 & -128.31 \tabularnewline
55 & 4320 & 4155.93 & 4114.38 & 41.5557 & 164.069 \tabularnewline
56 & 4375 & 4101.62 & 4142.5 & -40.8818 & 273.382 \tabularnewline
57 & 4270 & 4153.14 & 4191.88 & -38.7359 & 116.861 \tabularnewline
58 & 4265 & 4243.22 & 4251.25 & -8.02758 & 21.7776 \tabularnewline
59 & 4245 & 4221.72 & 4308.12 & -86.4026 & 23.2776 \tabularnewline
60 & 3975 & 4429.81 & 4361.04 & 68.7641 & -454.806 \tabularnewline
61 & 3990 & 4233.54 & 4397.5 & -163.958 & -243.542 \tabularnewline
62 & 4340 & 4261.16 & 4404.79 & -143.634 & 78.8424 \tabularnewline
63 & 4625 & 4517.38 & 4416.88 & 100.509 & 107.616 \tabularnewline
64 & 4830 & 4556.11 & 4424.17 & 131.945 & 273.889 \tabularnewline
65 & 4745 & 4533.89 & 4420.42 & 113.472 & 211.111 \tabularnewline
66 & 4715 & 4464.56 & 4439.17 & 25.3937 & 250.44 \tabularnewline
67 & 4470 & 4508.85 & 4467.29 & 41.5557 & -38.8474 \tabularnewline
68 & 4400 & 4426.62 & 4467.5 & -40.8818 & -26.6182 \tabularnewline
69 & 4535 & 4415.01 & 4453.75 & -38.7359 & 119.986 \tabularnewline
70 & 4175 & 4431.76 & 4439.79 & -8.02758 & -256.764 \tabularnewline
71 & 4245 & 4338.39 & 4424.79 & -86.4026 & -93.3891 \tabularnewline
72 & 4425 & 4483.97 & 4415.21 & 68.7641 & -58.9724 \tabularnewline
73 & 4215 & 4248.33 & 4412.29 & -163.958 & -33.3335 \tabularnewline
74 & 4120 & 4260.95 & 4404.58 & -143.634 & -140.949 \tabularnewline
75 & 4515 & 4482.59 & 4382.08 & 100.509 & 32.4072 \tabularnewline
76 & 4605 & 4502.15 & 4370.21 & 131.945 & 102.847 \tabularnewline
77 & 4610 & 4469.93 & 4356.46 & 113.472 & 140.069 \tabularnewline
78 & 4620 & 4363.1 & 4337.71 & 25.3937 & 256.898 \tabularnewline
79 & 4495 & 4365.1 & 4323.54 & 41.5557 & 129.903 \tabularnewline
80 & 4190 & 4259.53 & 4300.42 & -40.8818 & -69.5349 \tabularnewline
81 & 4205 & 4249.18 & 4287.92 & -38.7359 & -44.1807 \tabularnewline
82 & 4220 & 4271.14 & 4279.17 & -8.02758 & -51.1391 \tabularnewline
83 & 3870 & 4181.51 & 4267.92 & -86.4026 & -311.514 \tabularnewline
84 & 4350 & 4329.81 & 4261.04 & 68.7641 & 20.1943 \tabularnewline
85 & 3950 & 4096.46 & 4260.42 & -163.958 & -146.459 \tabularnewline
86 & 3830 & 4131.78 & 4275.42 & -143.634 & -301.783 \tabularnewline
87 & 4505 & 4396.76 & 4296.25 & 100.509 & 108.241 \tabularnewline
88 & 4405 & 4437.78 & 4305.83 & 131.945 & -32.778 \tabularnewline
89 & 4540 & 4429.72 & 4316.25 & 113.472 & 110.278 \tabularnewline
90 & 4525 & 4364.35 & 4338.96 & 25.3937 & 160.648 \tabularnewline
91 & 4575 & 4406.76 & 4365.21 & 41.5557 & 168.236 \tabularnewline
92 & 4470 & 4359.53 & 4400.42 & -40.8818 & 110.465 \tabularnewline
93 & 4425 & 4381.26 & 4420 & -38.7359 & 43.7359 \tabularnewline
94 & 4230 & 4410.51 & 4418.54 & -8.02758 & -180.514 \tabularnewline
95 & 4110 & 4331.1 & 4417.5 & -86.4026 & -221.097 \tabularnewline
96 & 4655 & 4480.85 & 4412.08 & 68.7641 & 174.153 \tabularnewline
97 & 4275 & 4250.42 & 4414.38 & -163.958 & 24.5831 \tabularnewline
98 & 4350 & 4291.78 & 4435.42 & -143.634 & 58.2174 \tabularnewline
99 & 4455 & 4566.97 & 4466.46 & 100.509 & -111.968 \tabularnewline
100 & 4420 & 4635.9 & 4503.96 & 131.945 & -215.903 \tabularnewline
101 & 4500 & 4670.56 & 4557.08 & 113.472 & -170.556 \tabularnewline
102 & 4435 & 4627.27 & 4601.88 & 25.3937 & -192.269 \tabularnewline
103 & 4720 & 4668.01 & 4626.46 & 41.5557 & 51.9859 \tabularnewline
104 & 4830 & 4604.95 & 4645.83 & -40.8818 & 225.048 \tabularnewline
105 & 4810 & 4631.06 & 4669.79 & -38.7359 & 178.944 \tabularnewline
106 & 4745 & 4689.89 & 4697.92 & -8.02758 & 55.1109 \tabularnewline
107 & 4870 & 4624.43 & 4710.83 & -86.4026 & 245.569 \tabularnewline
108 & 4970 & 4782.72 & 4713.96 & 68.7641 & 187.278 \tabularnewline
109 & 4550 & 4548.54 & 4712.5 & -163.958 & 1.45814 \tabularnewline
110 & 4540 & 4560.74 & 4704.38 & -143.634 & -20.7409 \tabularnewline
111 & 4840 & 4798.84 & 4698.33 & 100.509 & 41.1572 \tabularnewline
112 & 4710 & 4835.07 & 4703.12 & 131.945 & -125.07 \tabularnewline
113 & 4520 & 4819.93 & 4706.46 & 113.472 & -299.931 \tabularnewline
114 & 4490 & 4721.85 & 4696.46 & 25.3937 & -231.852 \tabularnewline
115 & 4630 & 4734.68 & 4693.12 & 41.5557 & -104.681 \tabularnewline
116 & 4725 & 4659.74 & 4700.62 & -40.8818 & 65.2568 \tabularnewline
117 & 4770 & 4663.14 & 4701.88 & -38.7359 & 106.861 \tabularnewline
118 & 4900 & 4691.76 & 4699.79 & -8.02758 & 208.236 \tabularnewline
119 & 4795 & 4619.43 & 4705.83 & -86.4026 & 175.569 \tabularnewline
120 & 4805 & 4782.51 & 4713.75 & 68.7641 & 22.4859 \tabularnewline
121 & 4635 & NA & NA & -163.958 & NA \tabularnewline
122 & 4635 & NA & NA & -143.634 & NA \tabularnewline
123 & 4775 & NA & NA & 100.509 & NA \tabularnewline
124 & 4725 & NA & NA & 131.945 & NA \tabularnewline
125 & 4650 & NA & NA & 113.472 & NA \tabularnewline
126 & 4550 & NA & NA & 25.3937 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298030&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]4435[/C][C]NA[/C][C]NA[/C][C]-163.958[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]4610[/C][C]NA[/C][C]NA[/C][C]-143.634[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]4955[/C][C]NA[/C][C]NA[/C][C]100.509[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]5195[/C][C]NA[/C][C]NA[/C][C]131.945[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]5290[/C][C]NA[/C][C]NA[/C][C]113.472[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]5150[/C][C]NA[/C][C]NA[/C][C]25.3937[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]5375[/C][C]5193.64[/C][C]5152.08[/C][C]41.5557[/C][C]181.361[/C][/ROW]
[ROW][C]8[/C][C]5250[/C][C]5160.78[/C][C]5201.67[/C][C]-40.8818[/C][C]89.2151[/C][/ROW]
[ROW][C]9[/C][C]5020[/C][C]5179.81[/C][C]5218.54[/C][C]-38.7359[/C][C]-159.806[/C][/ROW]
[ROW][C]10[/C][C]5320[/C][C]5198.22[/C][C]5206.25[/C][C]-8.02758[/C][C]121.778[/C][/ROW]
[ROW][C]11[/C][C]5305[/C][C]5090.68[/C][C]5177.08[/C][C]-86.4026[/C][C]214.319[/C][/ROW]
[ROW][C]12[/C][C]5550[/C][C]5197.72[/C][C]5128.96[/C][C]68.7641[/C][C]352.278[/C][/ROW]
[ROW][C]13[/C][C]5175[/C][C]4884.38[/C][C]5048.33[/C][C]-163.958[/C][C]290.625[/C][/ROW]
[ROW][C]14[/C][C]5060[/C][C]4809.7[/C][C]4953.33[/C][C]-143.634[/C][C]250.301[/C][/ROW]
[ROW][C]15[/C][C]4910[/C][C]4992.8[/C][C]4892.29[/C][C]100.509[/C][C]-82.8011[/C][/ROW]
[ROW][C]16[/C][C]4945[/C][C]4984.44[/C][C]4852.5[/C][C]131.945[/C][C]-39.4446[/C][/ROW]
[ROW][C]17[/C][C]4840[/C][C]4924.1[/C][C]4810.62[/C][C]113.472[/C][C]-84.0974[/C][/ROW]
[ROW][C]18[/C][C]4445[/C][C]4800.19[/C][C]4774.79[/C][C]25.3937[/C][C]-355.185[/C][/ROW]
[ROW][C]19[/C][C]4145[/C][C]4772.6[/C][C]4731.04[/C][C]41.5557[/C][C]-627.597[/C][/ROW]
[ROW][C]20[/C][C]4200[/C][C]4644.12[/C][C]4685[/C][C]-40.8818[/C][C]-444.118[/C][/ROW]
[ROW][C]21[/C][C]4605[/C][C]4621.06[/C][C]4659.79[/C][C]-38.7359[/C][C]-16.0557[/C][/ROW]
[ROW][C]22[/C][C]4780[/C][C]4643.01[/C][C]4651.04[/C][C]-8.02758[/C][C]136.986[/C][/ROW]
[ROW][C]23[/C][C]4840[/C][C]4561.93[/C][C]4648.33[/C][C]-86.4026[/C][C]278.069[/C][/ROW]
[ROW][C]24[/C][C]5155[/C][C]4730.64[/C][C]4661.88[/C][C]68.7641[/C][C]424.361[/C][/ROW]
[ROW][C]25[/C][C]4520[/C][C]4528.75[/C][C]4692.71[/C][C]-163.958[/C][C]-8.75019[/C][/ROW]
[ROW][C]26[/C][C]4610[/C][C]4576.57[/C][C]4720.21[/C][C]-143.634[/C][C]33.4257[/C][/ROW]
[ROW][C]27[/C][C]4755[/C][C]4820.3[/C][C]4719.79[/C][C]100.509[/C][C]-65.3011[/C][/ROW]
[ROW][C]28[/C][C]4890[/C][C]4819.24[/C][C]4687.29[/C][C]131.945[/C][C]70.7637[/C][/ROW]
[ROW][C]29[/C][C]4830[/C][C]4740.14[/C][C]4626.67[/C][C]113.472[/C][C]89.8609[/C][/ROW]
[ROW][C]30[/C][C]4780[/C][C]4561.64[/C][C]4536.25[/C][C]25.3937[/C][C]218.356[/C][/ROW]
[ROW][C]31[/C][C]4550[/C][C]4498.85[/C][C]4457.29[/C][C]41.5557[/C][C]51.1526[/C][/ROW]
[ROW][C]32[/C][C]4455[/C][C]4360.99[/C][C]4401.87[/C][C]-40.8818[/C][C]94.0068[/C][/ROW]
[ROW][C]33[/C][C]4340[/C][C]4307.93[/C][C]4346.67[/C][C]-38.7359[/C][C]32.0693[/C][/ROW]
[ROW][C]34[/C][C]4265[/C][C]4280.72[/C][C]4288.75[/C][C]-8.02758[/C][C]-15.7224[/C][/ROW]
[ROW][C]35[/C][C]3900[/C][C]4136.72[/C][C]4223.12[/C][C]-86.4026[/C][C]-236.722[/C][/ROW]
[ROW][C]36[/C][C]3925[/C][C]4221.06[/C][C]4152.29[/C][C]68.7641[/C][C]-296.056[/C][/ROW]
[ROW][C]37[/C][C]3855[/C][C]3927.08[/C][C]4091.04[/C][C]-163.958[/C][C]-72.0835[/C][/ROW]
[ROW][C]38[/C][C]3945[/C][C]3882.2[/C][C]4025.83[/C][C]-143.634[/C][C]62.8007[/C][/ROW]
[ROW][C]39[/C][C]4095[/C][C]4049.05[/C][C]3948.54[/C][C]100.509[/C][C]45.9489[/C][/ROW]
[ROW][C]40[/C][C]4160[/C][C]4023.19[/C][C]3891.25[/C][C]131.945[/C][C]136.805[/C][/ROW]
[ROW][C]41[/C][C]3985[/C][C]3976.18[/C][C]3862.71[/C][C]113.472[/C][C]8.81925[/C][/ROW]
[ROW][C]42[/C][C]3925[/C][C]3863.73[/C][C]3838.33[/C][C]25.3937[/C][C]61.273[/C][/ROW]
[ROW][C]43[/C][C]3935[/C][C]3866.14[/C][C]3824.58[/C][C]41.5557[/C][C]68.8609[/C][/ROW]
[ROW][C]44[/C][C]3505[/C][C]3777.66[/C][C]3818.54[/C][C]-40.8818[/C][C]-272.66[/C][/ROW]
[ROW][C]45[/C][C]3435[/C][C]3768.97[/C][C]3807.71[/C][C]-38.7359[/C][C]-333.972[/C][/ROW]
[ROW][C]46[/C][C]3795[/C][C]3790.31[/C][C]3798.33[/C][C]-8.02758[/C][C]4.69425[/C][/ROW]
[ROW][C]47[/C][C]3685[/C][C]3714.64[/C][C]3801.04[/C][C]-86.4026[/C][C]-29.6391[/C][/ROW]
[ROW][C]48[/C][C]3555[/C][C]3881.47[/C][C]3812.71[/C][C]68.7641[/C][C]-326.472[/C][/ROW]
[ROW][C]49[/C][C]3895[/C][C]3667.5[/C][C]3831.46[/C][C]-163.958[/C][C]227.5[/C][/ROW]
[ROW][C]50[/C][C]3760[/C][C]3740.12[/C][C]3883.75[/C][C]-143.634[/C][C]19.8841[/C][/ROW]
[ROW][C]51[/C][C]4020[/C][C]4055.3[/C][C]3954.79[/C][C]100.509[/C][C]-35.3011[/C][/ROW]
[ROW][C]52[/C][C]4010[/C][C]4141.11[/C][C]4009.17[/C][C]131.945[/C][C]-131.111[/C][/ROW]
[ROW][C]53[/C][C]4200[/C][C]4165.56[/C][C]4052.08[/C][C]113.472[/C][C]34.4443[/C][/ROW]
[ROW][C]54[/C][C]3990[/C][C]4118.31[/C][C]4092.92[/C][C]25.3937[/C][C]-128.31[/C][/ROW]
[ROW][C]55[/C][C]4320[/C][C]4155.93[/C][C]4114.38[/C][C]41.5557[/C][C]164.069[/C][/ROW]
[ROW][C]56[/C][C]4375[/C][C]4101.62[/C][C]4142.5[/C][C]-40.8818[/C][C]273.382[/C][/ROW]
[ROW][C]57[/C][C]4270[/C][C]4153.14[/C][C]4191.88[/C][C]-38.7359[/C][C]116.861[/C][/ROW]
[ROW][C]58[/C][C]4265[/C][C]4243.22[/C][C]4251.25[/C][C]-8.02758[/C][C]21.7776[/C][/ROW]
[ROW][C]59[/C][C]4245[/C][C]4221.72[/C][C]4308.12[/C][C]-86.4026[/C][C]23.2776[/C][/ROW]
[ROW][C]60[/C][C]3975[/C][C]4429.81[/C][C]4361.04[/C][C]68.7641[/C][C]-454.806[/C][/ROW]
[ROW][C]61[/C][C]3990[/C][C]4233.54[/C][C]4397.5[/C][C]-163.958[/C][C]-243.542[/C][/ROW]
[ROW][C]62[/C][C]4340[/C][C]4261.16[/C][C]4404.79[/C][C]-143.634[/C][C]78.8424[/C][/ROW]
[ROW][C]63[/C][C]4625[/C][C]4517.38[/C][C]4416.88[/C][C]100.509[/C][C]107.616[/C][/ROW]
[ROW][C]64[/C][C]4830[/C][C]4556.11[/C][C]4424.17[/C][C]131.945[/C][C]273.889[/C][/ROW]
[ROW][C]65[/C][C]4745[/C][C]4533.89[/C][C]4420.42[/C][C]113.472[/C][C]211.111[/C][/ROW]
[ROW][C]66[/C][C]4715[/C][C]4464.56[/C][C]4439.17[/C][C]25.3937[/C][C]250.44[/C][/ROW]
[ROW][C]67[/C][C]4470[/C][C]4508.85[/C][C]4467.29[/C][C]41.5557[/C][C]-38.8474[/C][/ROW]
[ROW][C]68[/C][C]4400[/C][C]4426.62[/C][C]4467.5[/C][C]-40.8818[/C][C]-26.6182[/C][/ROW]
[ROW][C]69[/C][C]4535[/C][C]4415.01[/C][C]4453.75[/C][C]-38.7359[/C][C]119.986[/C][/ROW]
[ROW][C]70[/C][C]4175[/C][C]4431.76[/C][C]4439.79[/C][C]-8.02758[/C][C]-256.764[/C][/ROW]
[ROW][C]71[/C][C]4245[/C][C]4338.39[/C][C]4424.79[/C][C]-86.4026[/C][C]-93.3891[/C][/ROW]
[ROW][C]72[/C][C]4425[/C][C]4483.97[/C][C]4415.21[/C][C]68.7641[/C][C]-58.9724[/C][/ROW]
[ROW][C]73[/C][C]4215[/C][C]4248.33[/C][C]4412.29[/C][C]-163.958[/C][C]-33.3335[/C][/ROW]
[ROW][C]74[/C][C]4120[/C][C]4260.95[/C][C]4404.58[/C][C]-143.634[/C][C]-140.949[/C][/ROW]
[ROW][C]75[/C][C]4515[/C][C]4482.59[/C][C]4382.08[/C][C]100.509[/C][C]32.4072[/C][/ROW]
[ROW][C]76[/C][C]4605[/C][C]4502.15[/C][C]4370.21[/C][C]131.945[/C][C]102.847[/C][/ROW]
[ROW][C]77[/C][C]4610[/C][C]4469.93[/C][C]4356.46[/C][C]113.472[/C][C]140.069[/C][/ROW]
[ROW][C]78[/C][C]4620[/C][C]4363.1[/C][C]4337.71[/C][C]25.3937[/C][C]256.898[/C][/ROW]
[ROW][C]79[/C][C]4495[/C][C]4365.1[/C][C]4323.54[/C][C]41.5557[/C][C]129.903[/C][/ROW]
[ROW][C]80[/C][C]4190[/C][C]4259.53[/C][C]4300.42[/C][C]-40.8818[/C][C]-69.5349[/C][/ROW]
[ROW][C]81[/C][C]4205[/C][C]4249.18[/C][C]4287.92[/C][C]-38.7359[/C][C]-44.1807[/C][/ROW]
[ROW][C]82[/C][C]4220[/C][C]4271.14[/C][C]4279.17[/C][C]-8.02758[/C][C]-51.1391[/C][/ROW]
[ROW][C]83[/C][C]3870[/C][C]4181.51[/C][C]4267.92[/C][C]-86.4026[/C][C]-311.514[/C][/ROW]
[ROW][C]84[/C][C]4350[/C][C]4329.81[/C][C]4261.04[/C][C]68.7641[/C][C]20.1943[/C][/ROW]
[ROW][C]85[/C][C]3950[/C][C]4096.46[/C][C]4260.42[/C][C]-163.958[/C][C]-146.459[/C][/ROW]
[ROW][C]86[/C][C]3830[/C][C]4131.78[/C][C]4275.42[/C][C]-143.634[/C][C]-301.783[/C][/ROW]
[ROW][C]87[/C][C]4505[/C][C]4396.76[/C][C]4296.25[/C][C]100.509[/C][C]108.241[/C][/ROW]
[ROW][C]88[/C][C]4405[/C][C]4437.78[/C][C]4305.83[/C][C]131.945[/C][C]-32.778[/C][/ROW]
[ROW][C]89[/C][C]4540[/C][C]4429.72[/C][C]4316.25[/C][C]113.472[/C][C]110.278[/C][/ROW]
[ROW][C]90[/C][C]4525[/C][C]4364.35[/C][C]4338.96[/C][C]25.3937[/C][C]160.648[/C][/ROW]
[ROW][C]91[/C][C]4575[/C][C]4406.76[/C][C]4365.21[/C][C]41.5557[/C][C]168.236[/C][/ROW]
[ROW][C]92[/C][C]4470[/C][C]4359.53[/C][C]4400.42[/C][C]-40.8818[/C][C]110.465[/C][/ROW]
[ROW][C]93[/C][C]4425[/C][C]4381.26[/C][C]4420[/C][C]-38.7359[/C][C]43.7359[/C][/ROW]
[ROW][C]94[/C][C]4230[/C][C]4410.51[/C][C]4418.54[/C][C]-8.02758[/C][C]-180.514[/C][/ROW]
[ROW][C]95[/C][C]4110[/C][C]4331.1[/C][C]4417.5[/C][C]-86.4026[/C][C]-221.097[/C][/ROW]
[ROW][C]96[/C][C]4655[/C][C]4480.85[/C][C]4412.08[/C][C]68.7641[/C][C]174.153[/C][/ROW]
[ROW][C]97[/C][C]4275[/C][C]4250.42[/C][C]4414.38[/C][C]-163.958[/C][C]24.5831[/C][/ROW]
[ROW][C]98[/C][C]4350[/C][C]4291.78[/C][C]4435.42[/C][C]-143.634[/C][C]58.2174[/C][/ROW]
[ROW][C]99[/C][C]4455[/C][C]4566.97[/C][C]4466.46[/C][C]100.509[/C][C]-111.968[/C][/ROW]
[ROW][C]100[/C][C]4420[/C][C]4635.9[/C][C]4503.96[/C][C]131.945[/C][C]-215.903[/C][/ROW]
[ROW][C]101[/C][C]4500[/C][C]4670.56[/C][C]4557.08[/C][C]113.472[/C][C]-170.556[/C][/ROW]
[ROW][C]102[/C][C]4435[/C][C]4627.27[/C][C]4601.88[/C][C]25.3937[/C][C]-192.269[/C][/ROW]
[ROW][C]103[/C][C]4720[/C][C]4668.01[/C][C]4626.46[/C][C]41.5557[/C][C]51.9859[/C][/ROW]
[ROW][C]104[/C][C]4830[/C][C]4604.95[/C][C]4645.83[/C][C]-40.8818[/C][C]225.048[/C][/ROW]
[ROW][C]105[/C][C]4810[/C][C]4631.06[/C][C]4669.79[/C][C]-38.7359[/C][C]178.944[/C][/ROW]
[ROW][C]106[/C][C]4745[/C][C]4689.89[/C][C]4697.92[/C][C]-8.02758[/C][C]55.1109[/C][/ROW]
[ROW][C]107[/C][C]4870[/C][C]4624.43[/C][C]4710.83[/C][C]-86.4026[/C][C]245.569[/C][/ROW]
[ROW][C]108[/C][C]4970[/C][C]4782.72[/C][C]4713.96[/C][C]68.7641[/C][C]187.278[/C][/ROW]
[ROW][C]109[/C][C]4550[/C][C]4548.54[/C][C]4712.5[/C][C]-163.958[/C][C]1.45814[/C][/ROW]
[ROW][C]110[/C][C]4540[/C][C]4560.74[/C][C]4704.38[/C][C]-143.634[/C][C]-20.7409[/C][/ROW]
[ROW][C]111[/C][C]4840[/C][C]4798.84[/C][C]4698.33[/C][C]100.509[/C][C]41.1572[/C][/ROW]
[ROW][C]112[/C][C]4710[/C][C]4835.07[/C][C]4703.12[/C][C]131.945[/C][C]-125.07[/C][/ROW]
[ROW][C]113[/C][C]4520[/C][C]4819.93[/C][C]4706.46[/C][C]113.472[/C][C]-299.931[/C][/ROW]
[ROW][C]114[/C][C]4490[/C][C]4721.85[/C][C]4696.46[/C][C]25.3937[/C][C]-231.852[/C][/ROW]
[ROW][C]115[/C][C]4630[/C][C]4734.68[/C][C]4693.12[/C][C]41.5557[/C][C]-104.681[/C][/ROW]
[ROW][C]116[/C][C]4725[/C][C]4659.74[/C][C]4700.62[/C][C]-40.8818[/C][C]65.2568[/C][/ROW]
[ROW][C]117[/C][C]4770[/C][C]4663.14[/C][C]4701.88[/C][C]-38.7359[/C][C]106.861[/C][/ROW]
[ROW][C]118[/C][C]4900[/C][C]4691.76[/C][C]4699.79[/C][C]-8.02758[/C][C]208.236[/C][/ROW]
[ROW][C]119[/C][C]4795[/C][C]4619.43[/C][C]4705.83[/C][C]-86.4026[/C][C]175.569[/C][/ROW]
[ROW][C]120[/C][C]4805[/C][C]4782.51[/C][C]4713.75[/C][C]68.7641[/C][C]22.4859[/C][/ROW]
[ROW][C]121[/C][C]4635[/C][C]NA[/C][C]NA[/C][C]-163.958[/C][C]NA[/C][/ROW]
[ROW][C]122[/C][C]4635[/C][C]NA[/C][C]NA[/C][C]-143.634[/C][C]NA[/C][/ROW]
[ROW][C]123[/C][C]4775[/C][C]NA[/C][C]NA[/C][C]100.509[/C][C]NA[/C][/ROW]
[ROW][C]124[/C][C]4725[/C][C]NA[/C][C]NA[/C][C]131.945[/C][C]NA[/C][/ROW]
[ROW][C]125[/C][C]4650[/C][C]NA[/C][C]NA[/C][C]113.472[/C][C]NA[/C][/ROW]
[ROW][C]126[/C][C]4550[/C][C]NA[/C][C]NA[/C][C]25.3937[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=298030&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298030&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
14435NANA-163.958NA
24610NANA-143.634NA
34955NANA100.509NA
45195NANA131.945NA
55290NANA113.472NA
65150NANA25.3937NA
753755193.645152.0841.5557181.361
852505160.785201.67-40.881889.2151
950205179.815218.54-38.7359-159.806
1053205198.225206.25-8.02758121.778
1153055090.685177.08-86.4026214.319
1255505197.725128.9668.7641352.278
1351754884.385048.33-163.958290.625
1450604809.74953.33-143.634250.301
1549104992.84892.29100.509-82.8011
1649454984.444852.5131.945-39.4446
1748404924.14810.62113.472-84.0974
1844454800.194774.7925.3937-355.185
1941454772.64731.0441.5557-627.597
2042004644.124685-40.8818-444.118
2146054621.064659.79-38.7359-16.0557
2247804643.014651.04-8.02758136.986
2348404561.934648.33-86.4026278.069
2451554730.644661.8868.7641424.361
2545204528.754692.71-163.958-8.75019
2646104576.574720.21-143.63433.4257
2747554820.34719.79100.509-65.3011
2848904819.244687.29131.94570.7637
2948304740.144626.67113.47289.8609
3047804561.644536.2525.3937218.356
3145504498.854457.2941.555751.1526
3244554360.994401.87-40.881894.0068
3343404307.934346.67-38.735932.0693
3442654280.724288.75-8.02758-15.7224
3539004136.724223.12-86.4026-236.722
3639254221.064152.2968.7641-296.056
3738553927.084091.04-163.958-72.0835
3839453882.24025.83-143.63462.8007
3940954049.053948.54100.50945.9489
4041604023.193891.25131.945136.805
4139853976.183862.71113.4728.81925
4239253863.733838.3325.393761.273
4339353866.143824.5841.555768.8609
4435053777.663818.54-40.8818-272.66
4534353768.973807.71-38.7359-333.972
4637953790.313798.33-8.027584.69425
4736853714.643801.04-86.4026-29.6391
4835553881.473812.7168.7641-326.472
4938953667.53831.46-163.958227.5
5037603740.123883.75-143.63419.8841
5140204055.33954.79100.509-35.3011
5240104141.114009.17131.945-131.111
5342004165.564052.08113.47234.4443
5439904118.314092.9225.3937-128.31
5543204155.934114.3841.5557164.069
5643754101.624142.5-40.8818273.382
5742704153.144191.88-38.7359116.861
5842654243.224251.25-8.0275821.7776
5942454221.724308.12-86.402623.2776
6039754429.814361.0468.7641-454.806
6139904233.544397.5-163.958-243.542
6243404261.164404.79-143.63478.8424
6346254517.384416.88100.509107.616
6448304556.114424.17131.945273.889
6547454533.894420.42113.472211.111
6647154464.564439.1725.3937250.44
6744704508.854467.2941.5557-38.8474
6844004426.624467.5-40.8818-26.6182
6945354415.014453.75-38.7359119.986
7041754431.764439.79-8.02758-256.764
7142454338.394424.79-86.4026-93.3891
7244254483.974415.2168.7641-58.9724
7342154248.334412.29-163.958-33.3335
7441204260.954404.58-143.634-140.949
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Parameters (Session):
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')