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Author*The author of this computation has been verified*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationFri, 16 Dec 2016 19:53:39 +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/16/t14819167684b88tga7cqfnnmu.htm/, Retrieved Thu, 02 May 2024 17:35:43 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=300501, Retrieved Thu, 02 May 2024 17:35:43 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact56
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [Classical Decompo...] [2016-12-16 18:53:39] [8dbd6448339a84ba150e9d534057ba9c] [Current]
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Dataseries X:
4400
4300
4610
4100
4000
4130
4320
4560
4430
4580
4370
4480
4520
4320
4960
4450
4680
4570
4520
5450
5110
4820
4640
4510
4450
4650
4720
4380
4870
4350
4160
4770
4400
4700
4520
4290
4520
4500
4690
4380
4620
4230
4310
4900
4740
5080
5090
4500
4670
4710
4310
4390
4530
4490
4720
5150
5220
5490
5260
5050
4890
4960
5120
5060
5430
5360
5090
5390
5330
5560
5370
5040
4760
4630
4790
4550
5180
5020
5040
5590
5330
5550
5630
5540
4880
4550
4530
4580
5090
4720
4900
5840
5250
5530
5370
4730
5030
4980
5080
4750
4890
4640
4800
5600
5040
5720
5650
4900
5240
5120
4950
5320
5590
4850
5180
5700
5370
5820
5940
5270
5350
5320
5300
5440
5390
5400




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time3 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 time3 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300501&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]3 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=300501&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300501&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 time3 seconds
R ServerBig Analytics Cloud Computing Center







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
14400NANA-113.386NA
24300NANA-182.645NA
34610NANA-111.164NA
44100NANA-264.59NA
54000NANA57.9568NA
64130NANA-247.414NA
743204177.174361.67-184.502142.835
845604765.794367.5398.29-205.79
944304501.084382.92118.165-71.0818
1045804784.794412.08372.707-204.79
1143704715.334455260.332-345.332
1244804397.924501.67-103.75282.0849
1345204414.954528.33-113.386105.052
1443204391.14573.75-182.645-71.1049
15496045284639.17-111.164431.997
1644504412.914677.5-264.5937.0895
1746804756.714698.7557.9568-76.7068
1845704463.844711.25-247.414106.164
1945204525.084709.58-184.502-5.08179
2054505118.714720.42398.29331.293
2151104842.334724.17118.165267.668
2248205083.964711.25372.707-263.957
2346404976.584716.25260.332-336.582
2445104611.254715-103.752-101.248
2544504577.454690.83-113.386-127.448
2646504464.854647.5-182.645185.145
2747204478.424589.58-111.164241.58
2843804290.414555-264.5989.5895
2948704602.96454557.9568267.043
3043504283.424530.83-247.41466.5802
3141604340.084524.58-184.502-180.082
3247704919.544521.25398.29-149.54
3344004631.924513.75118.165-231.915
3447004885.214512.5372.707-185.207
3545204762.424502.08260.332-242.415
3642904382.924486.67-103.752-92.9151
3745204374.534487.92-113.386145.469
3845004316.944499.58-182.645183.062
39469044084519.17-111.164281.997
4043804284.584549.17-264.5995.4228
4146204646.714588.7557.9568-26.7068
4242304373.844621.25-247.414-143.836
4343104451.754636.25-184.502-141.748
4449005049.544651.25398.29-149.54
4547404762.334644.17118.165-22.3318
4650805001.464628.75372.70778.5432
4750904885.754625.42260.332204.252
4845004528.754632.5-103.752-28.7485
4946704547.034660.42-113.386122.969
5047104505.274687.92-182.645204.728
5143104607.174718.33-111.164-297.17
5243904490.834755.42-264.59-100.827
5345304837.544779.5857.9568-307.54
5444904562.174809.58-247.414-72.1698
5547204657.174841.67-184.50262.8349
5651505259.544861.25398.29-109.54
5752205023.584905.42118.165196.418
5854905339.794967.08372.707150.21
5952605292.835032.5260.332-32.8318
6050505002.55106.25-103.75247.5015
6148905044.535157.92-113.386-154.531
6249605000.695183.33-182.645-40.6883
6351205086.755197.92-111.16433.2469
6450604940.835205.42-264.59119.173
6554305270.875212.9257.9568159.127
6653604969.675217.08-247.414390.33
6750905026.755211.25-184.50263.2515
6853905590.375192.08398.29-200.373
6953305282.755164.58118.16547.2515
7055605502.295129.58372.70757.7099
7153705358.255097.92260.33211.7515
7250404969.585073.33-103.75270.4182
7347604943.75057.08-113.386-183.698
7446304880.695063.33-182.645-250.688
7547904960.55071.67-111.164-170.503
7645504806.665071.25-264.59-256.66
7751805139.625081.6757.956840.3765
7850204865.925113.33-247.414154.08
7950404954.675139.17-184.50285.3349
8055905539.125140.83398.2950.8765
8153305244.835126.67118.16585.1682
8255505489.795117.08372.70760.2099
8356305374.925114.58260.332255.085
8455404994.585098.33-103.752545.418
8548804966.615080-113.386-86.6142
8645504901.945084.58-182.645-351.938
8745304980.55091.67-111.164-450.503
8845804822.915087.5-264.59-242.91
8950905133.795075.8357.9568-43.7901
9047204783.845031.25-247.414-63.8364
9149004819.255003.75-184.50280.7515
9258405426.215027.92398.29413.793
9352505186.925068.75118.16563.0849
9455305471.465098.75372.70758.5432
9553705357.835097.5260.33212.1682
9647304982.085085.83-103.752-252.082
9750304964.955078.33-113.38665.0525
9849804881.525064.17-182.64598.4784
9950804934.255045.42-111.164145.747
10047504779.995044.58-264.59-29.9938
10148905122.125064.1757.9568-232.123
10246404835.55082.92-247.414-195.503
10348004914.255098.75-184.502-114.248
10456005511.625113.33398.2988.3765
10550405231.925113.75118.165-191.915
10657205504.795132.08372.707215.21
10756505445.335185260.332204.668
10849005119.175222.92-103.752-219.165
10952405134.115247.5-113.386105.886
11051205084.855267.5-182.64535.1451
11149505174.255285.42-111.164-224.253
11253205038.745303.33-264.59281.256
11355905377.545319.5857.9568212.46
11448505099.675347.08-247.414-249.67
11551805182.585367.08-184.502-2.58179
11657005778.295380398.29-78.2901
11753705521.085402.92118.165-151.082
11858205795.215422.5372.70724.7932
11959405679.55419.17260.332260.502
120527053305433.75-103.752-59.9985
1215350NANA-113.386NA
1225320NANA-182.645NA
1235300NANA-111.164NA
1245440NANA-264.59NA
1255390NANA57.9568NA
1265400NANA-247.414NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 4400 & NA & NA & -113.386 & NA \tabularnewline
2 & 4300 & NA & NA & -182.645 & NA \tabularnewline
3 & 4610 & NA & NA & -111.164 & NA \tabularnewline
4 & 4100 & NA & NA & -264.59 & NA \tabularnewline
5 & 4000 & NA & NA & 57.9568 & NA \tabularnewline
6 & 4130 & NA & NA & -247.414 & NA \tabularnewline
7 & 4320 & 4177.17 & 4361.67 & -184.502 & 142.835 \tabularnewline
8 & 4560 & 4765.79 & 4367.5 & 398.29 & -205.79 \tabularnewline
9 & 4430 & 4501.08 & 4382.92 & 118.165 & -71.0818 \tabularnewline
10 & 4580 & 4784.79 & 4412.08 & 372.707 & -204.79 \tabularnewline
11 & 4370 & 4715.33 & 4455 & 260.332 & -345.332 \tabularnewline
12 & 4480 & 4397.92 & 4501.67 & -103.752 & 82.0849 \tabularnewline
13 & 4520 & 4414.95 & 4528.33 & -113.386 & 105.052 \tabularnewline
14 & 4320 & 4391.1 & 4573.75 & -182.645 & -71.1049 \tabularnewline
15 & 4960 & 4528 & 4639.17 & -111.164 & 431.997 \tabularnewline
16 & 4450 & 4412.91 & 4677.5 & -264.59 & 37.0895 \tabularnewline
17 & 4680 & 4756.71 & 4698.75 & 57.9568 & -76.7068 \tabularnewline
18 & 4570 & 4463.84 & 4711.25 & -247.414 & 106.164 \tabularnewline
19 & 4520 & 4525.08 & 4709.58 & -184.502 & -5.08179 \tabularnewline
20 & 5450 & 5118.71 & 4720.42 & 398.29 & 331.293 \tabularnewline
21 & 5110 & 4842.33 & 4724.17 & 118.165 & 267.668 \tabularnewline
22 & 4820 & 5083.96 & 4711.25 & 372.707 & -263.957 \tabularnewline
23 & 4640 & 4976.58 & 4716.25 & 260.332 & -336.582 \tabularnewline
24 & 4510 & 4611.25 & 4715 & -103.752 & -101.248 \tabularnewline
25 & 4450 & 4577.45 & 4690.83 & -113.386 & -127.448 \tabularnewline
26 & 4650 & 4464.85 & 4647.5 & -182.645 & 185.145 \tabularnewline
27 & 4720 & 4478.42 & 4589.58 & -111.164 & 241.58 \tabularnewline
28 & 4380 & 4290.41 & 4555 & -264.59 & 89.5895 \tabularnewline
29 & 4870 & 4602.96 & 4545 & 57.9568 & 267.043 \tabularnewline
30 & 4350 & 4283.42 & 4530.83 & -247.414 & 66.5802 \tabularnewline
31 & 4160 & 4340.08 & 4524.58 & -184.502 & -180.082 \tabularnewline
32 & 4770 & 4919.54 & 4521.25 & 398.29 & -149.54 \tabularnewline
33 & 4400 & 4631.92 & 4513.75 & 118.165 & -231.915 \tabularnewline
34 & 4700 & 4885.21 & 4512.5 & 372.707 & -185.207 \tabularnewline
35 & 4520 & 4762.42 & 4502.08 & 260.332 & -242.415 \tabularnewline
36 & 4290 & 4382.92 & 4486.67 & -103.752 & -92.9151 \tabularnewline
37 & 4520 & 4374.53 & 4487.92 & -113.386 & 145.469 \tabularnewline
38 & 4500 & 4316.94 & 4499.58 & -182.645 & 183.062 \tabularnewline
39 & 4690 & 4408 & 4519.17 & -111.164 & 281.997 \tabularnewline
40 & 4380 & 4284.58 & 4549.17 & -264.59 & 95.4228 \tabularnewline
41 & 4620 & 4646.71 & 4588.75 & 57.9568 & -26.7068 \tabularnewline
42 & 4230 & 4373.84 & 4621.25 & -247.414 & -143.836 \tabularnewline
43 & 4310 & 4451.75 & 4636.25 & -184.502 & -141.748 \tabularnewline
44 & 4900 & 5049.54 & 4651.25 & 398.29 & -149.54 \tabularnewline
45 & 4740 & 4762.33 & 4644.17 & 118.165 & -22.3318 \tabularnewline
46 & 5080 & 5001.46 & 4628.75 & 372.707 & 78.5432 \tabularnewline
47 & 5090 & 4885.75 & 4625.42 & 260.332 & 204.252 \tabularnewline
48 & 4500 & 4528.75 & 4632.5 & -103.752 & -28.7485 \tabularnewline
49 & 4670 & 4547.03 & 4660.42 & -113.386 & 122.969 \tabularnewline
50 & 4710 & 4505.27 & 4687.92 & -182.645 & 204.728 \tabularnewline
51 & 4310 & 4607.17 & 4718.33 & -111.164 & -297.17 \tabularnewline
52 & 4390 & 4490.83 & 4755.42 & -264.59 & -100.827 \tabularnewline
53 & 4530 & 4837.54 & 4779.58 & 57.9568 & -307.54 \tabularnewline
54 & 4490 & 4562.17 & 4809.58 & -247.414 & -72.1698 \tabularnewline
55 & 4720 & 4657.17 & 4841.67 & -184.502 & 62.8349 \tabularnewline
56 & 5150 & 5259.54 & 4861.25 & 398.29 & -109.54 \tabularnewline
57 & 5220 & 5023.58 & 4905.42 & 118.165 & 196.418 \tabularnewline
58 & 5490 & 5339.79 & 4967.08 & 372.707 & 150.21 \tabularnewline
59 & 5260 & 5292.83 & 5032.5 & 260.332 & -32.8318 \tabularnewline
60 & 5050 & 5002.5 & 5106.25 & -103.752 & 47.5015 \tabularnewline
61 & 4890 & 5044.53 & 5157.92 & -113.386 & -154.531 \tabularnewline
62 & 4960 & 5000.69 & 5183.33 & -182.645 & -40.6883 \tabularnewline
63 & 5120 & 5086.75 & 5197.92 & -111.164 & 33.2469 \tabularnewline
64 & 5060 & 4940.83 & 5205.42 & -264.59 & 119.173 \tabularnewline
65 & 5430 & 5270.87 & 5212.92 & 57.9568 & 159.127 \tabularnewline
66 & 5360 & 4969.67 & 5217.08 & -247.414 & 390.33 \tabularnewline
67 & 5090 & 5026.75 & 5211.25 & -184.502 & 63.2515 \tabularnewline
68 & 5390 & 5590.37 & 5192.08 & 398.29 & -200.373 \tabularnewline
69 & 5330 & 5282.75 & 5164.58 & 118.165 & 47.2515 \tabularnewline
70 & 5560 & 5502.29 & 5129.58 & 372.707 & 57.7099 \tabularnewline
71 & 5370 & 5358.25 & 5097.92 & 260.332 & 11.7515 \tabularnewline
72 & 5040 & 4969.58 & 5073.33 & -103.752 & 70.4182 \tabularnewline
73 & 4760 & 4943.7 & 5057.08 & -113.386 & -183.698 \tabularnewline
74 & 4630 & 4880.69 & 5063.33 & -182.645 & -250.688 \tabularnewline
75 & 4790 & 4960.5 & 5071.67 & -111.164 & -170.503 \tabularnewline
76 & 4550 & 4806.66 & 5071.25 & -264.59 & -256.66 \tabularnewline
77 & 5180 & 5139.62 & 5081.67 & 57.9568 & 40.3765 \tabularnewline
78 & 5020 & 4865.92 & 5113.33 & -247.414 & 154.08 \tabularnewline
79 & 5040 & 4954.67 & 5139.17 & -184.502 & 85.3349 \tabularnewline
80 & 5590 & 5539.12 & 5140.83 & 398.29 & 50.8765 \tabularnewline
81 & 5330 & 5244.83 & 5126.67 & 118.165 & 85.1682 \tabularnewline
82 & 5550 & 5489.79 & 5117.08 & 372.707 & 60.2099 \tabularnewline
83 & 5630 & 5374.92 & 5114.58 & 260.332 & 255.085 \tabularnewline
84 & 5540 & 4994.58 & 5098.33 & -103.752 & 545.418 \tabularnewline
85 & 4880 & 4966.61 & 5080 & -113.386 & -86.6142 \tabularnewline
86 & 4550 & 4901.94 & 5084.58 & -182.645 & -351.938 \tabularnewline
87 & 4530 & 4980.5 & 5091.67 & -111.164 & -450.503 \tabularnewline
88 & 4580 & 4822.91 & 5087.5 & -264.59 & -242.91 \tabularnewline
89 & 5090 & 5133.79 & 5075.83 & 57.9568 & -43.7901 \tabularnewline
90 & 4720 & 4783.84 & 5031.25 & -247.414 & -63.8364 \tabularnewline
91 & 4900 & 4819.25 & 5003.75 & -184.502 & 80.7515 \tabularnewline
92 & 5840 & 5426.21 & 5027.92 & 398.29 & 413.793 \tabularnewline
93 & 5250 & 5186.92 & 5068.75 & 118.165 & 63.0849 \tabularnewline
94 & 5530 & 5471.46 & 5098.75 & 372.707 & 58.5432 \tabularnewline
95 & 5370 & 5357.83 & 5097.5 & 260.332 & 12.1682 \tabularnewline
96 & 4730 & 4982.08 & 5085.83 & -103.752 & -252.082 \tabularnewline
97 & 5030 & 4964.95 & 5078.33 & -113.386 & 65.0525 \tabularnewline
98 & 4980 & 4881.52 & 5064.17 & -182.645 & 98.4784 \tabularnewline
99 & 5080 & 4934.25 & 5045.42 & -111.164 & 145.747 \tabularnewline
100 & 4750 & 4779.99 & 5044.58 & -264.59 & -29.9938 \tabularnewline
101 & 4890 & 5122.12 & 5064.17 & 57.9568 & -232.123 \tabularnewline
102 & 4640 & 4835.5 & 5082.92 & -247.414 & -195.503 \tabularnewline
103 & 4800 & 4914.25 & 5098.75 & -184.502 & -114.248 \tabularnewline
104 & 5600 & 5511.62 & 5113.33 & 398.29 & 88.3765 \tabularnewline
105 & 5040 & 5231.92 & 5113.75 & 118.165 & -191.915 \tabularnewline
106 & 5720 & 5504.79 & 5132.08 & 372.707 & 215.21 \tabularnewline
107 & 5650 & 5445.33 & 5185 & 260.332 & 204.668 \tabularnewline
108 & 4900 & 5119.17 & 5222.92 & -103.752 & -219.165 \tabularnewline
109 & 5240 & 5134.11 & 5247.5 & -113.386 & 105.886 \tabularnewline
110 & 5120 & 5084.85 & 5267.5 & -182.645 & 35.1451 \tabularnewline
111 & 4950 & 5174.25 & 5285.42 & -111.164 & -224.253 \tabularnewline
112 & 5320 & 5038.74 & 5303.33 & -264.59 & 281.256 \tabularnewline
113 & 5590 & 5377.54 & 5319.58 & 57.9568 & 212.46 \tabularnewline
114 & 4850 & 5099.67 & 5347.08 & -247.414 & -249.67 \tabularnewline
115 & 5180 & 5182.58 & 5367.08 & -184.502 & -2.58179 \tabularnewline
116 & 5700 & 5778.29 & 5380 & 398.29 & -78.2901 \tabularnewline
117 & 5370 & 5521.08 & 5402.92 & 118.165 & -151.082 \tabularnewline
118 & 5820 & 5795.21 & 5422.5 & 372.707 & 24.7932 \tabularnewline
119 & 5940 & 5679.5 & 5419.17 & 260.332 & 260.502 \tabularnewline
120 & 5270 & 5330 & 5433.75 & -103.752 & -59.9985 \tabularnewline
121 & 5350 & NA & NA & -113.386 & NA \tabularnewline
122 & 5320 & NA & NA & -182.645 & NA \tabularnewline
123 & 5300 & NA & NA & -111.164 & NA \tabularnewline
124 & 5440 & NA & NA & -264.59 & NA \tabularnewline
125 & 5390 & NA & NA & 57.9568 & NA \tabularnewline
126 & 5400 & NA & NA & -247.414 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300501&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]4400[/C][C]NA[/C][C]NA[/C][C]-113.386[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]4300[/C][C]NA[/C][C]NA[/C][C]-182.645[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]4610[/C][C]NA[/C][C]NA[/C][C]-111.164[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]4100[/C][C]NA[/C][C]NA[/C][C]-264.59[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]4000[/C][C]NA[/C][C]NA[/C][C]57.9568[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]4130[/C][C]NA[/C][C]NA[/C][C]-247.414[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]4320[/C][C]4177.17[/C][C]4361.67[/C][C]-184.502[/C][C]142.835[/C][/ROW]
[ROW][C]8[/C][C]4560[/C][C]4765.79[/C][C]4367.5[/C][C]398.29[/C][C]-205.79[/C][/ROW]
[ROW][C]9[/C][C]4430[/C][C]4501.08[/C][C]4382.92[/C][C]118.165[/C][C]-71.0818[/C][/ROW]
[ROW][C]10[/C][C]4580[/C][C]4784.79[/C][C]4412.08[/C][C]372.707[/C][C]-204.79[/C][/ROW]
[ROW][C]11[/C][C]4370[/C][C]4715.33[/C][C]4455[/C][C]260.332[/C][C]-345.332[/C][/ROW]
[ROW][C]12[/C][C]4480[/C][C]4397.92[/C][C]4501.67[/C][C]-103.752[/C][C]82.0849[/C][/ROW]
[ROW][C]13[/C][C]4520[/C][C]4414.95[/C][C]4528.33[/C][C]-113.386[/C][C]105.052[/C][/ROW]
[ROW][C]14[/C][C]4320[/C][C]4391.1[/C][C]4573.75[/C][C]-182.645[/C][C]-71.1049[/C][/ROW]
[ROW][C]15[/C][C]4960[/C][C]4528[/C][C]4639.17[/C][C]-111.164[/C][C]431.997[/C][/ROW]
[ROW][C]16[/C][C]4450[/C][C]4412.91[/C][C]4677.5[/C][C]-264.59[/C][C]37.0895[/C][/ROW]
[ROW][C]17[/C][C]4680[/C][C]4756.71[/C][C]4698.75[/C][C]57.9568[/C][C]-76.7068[/C][/ROW]
[ROW][C]18[/C][C]4570[/C][C]4463.84[/C][C]4711.25[/C][C]-247.414[/C][C]106.164[/C][/ROW]
[ROW][C]19[/C][C]4520[/C][C]4525.08[/C][C]4709.58[/C][C]-184.502[/C][C]-5.08179[/C][/ROW]
[ROW][C]20[/C][C]5450[/C][C]5118.71[/C][C]4720.42[/C][C]398.29[/C][C]331.293[/C][/ROW]
[ROW][C]21[/C][C]5110[/C][C]4842.33[/C][C]4724.17[/C][C]118.165[/C][C]267.668[/C][/ROW]
[ROW][C]22[/C][C]4820[/C][C]5083.96[/C][C]4711.25[/C][C]372.707[/C][C]-263.957[/C][/ROW]
[ROW][C]23[/C][C]4640[/C][C]4976.58[/C][C]4716.25[/C][C]260.332[/C][C]-336.582[/C][/ROW]
[ROW][C]24[/C][C]4510[/C][C]4611.25[/C][C]4715[/C][C]-103.752[/C][C]-101.248[/C][/ROW]
[ROW][C]25[/C][C]4450[/C][C]4577.45[/C][C]4690.83[/C][C]-113.386[/C][C]-127.448[/C][/ROW]
[ROW][C]26[/C][C]4650[/C][C]4464.85[/C][C]4647.5[/C][C]-182.645[/C][C]185.145[/C][/ROW]
[ROW][C]27[/C][C]4720[/C][C]4478.42[/C][C]4589.58[/C][C]-111.164[/C][C]241.58[/C][/ROW]
[ROW][C]28[/C][C]4380[/C][C]4290.41[/C][C]4555[/C][C]-264.59[/C][C]89.5895[/C][/ROW]
[ROW][C]29[/C][C]4870[/C][C]4602.96[/C][C]4545[/C][C]57.9568[/C][C]267.043[/C][/ROW]
[ROW][C]30[/C][C]4350[/C][C]4283.42[/C][C]4530.83[/C][C]-247.414[/C][C]66.5802[/C][/ROW]
[ROW][C]31[/C][C]4160[/C][C]4340.08[/C][C]4524.58[/C][C]-184.502[/C][C]-180.082[/C][/ROW]
[ROW][C]32[/C][C]4770[/C][C]4919.54[/C][C]4521.25[/C][C]398.29[/C][C]-149.54[/C][/ROW]
[ROW][C]33[/C][C]4400[/C][C]4631.92[/C][C]4513.75[/C][C]118.165[/C][C]-231.915[/C][/ROW]
[ROW][C]34[/C][C]4700[/C][C]4885.21[/C][C]4512.5[/C][C]372.707[/C][C]-185.207[/C][/ROW]
[ROW][C]35[/C][C]4520[/C][C]4762.42[/C][C]4502.08[/C][C]260.332[/C][C]-242.415[/C][/ROW]
[ROW][C]36[/C][C]4290[/C][C]4382.92[/C][C]4486.67[/C][C]-103.752[/C][C]-92.9151[/C][/ROW]
[ROW][C]37[/C][C]4520[/C][C]4374.53[/C][C]4487.92[/C][C]-113.386[/C][C]145.469[/C][/ROW]
[ROW][C]38[/C][C]4500[/C][C]4316.94[/C][C]4499.58[/C][C]-182.645[/C][C]183.062[/C][/ROW]
[ROW][C]39[/C][C]4690[/C][C]4408[/C][C]4519.17[/C][C]-111.164[/C][C]281.997[/C][/ROW]
[ROW][C]40[/C][C]4380[/C][C]4284.58[/C][C]4549.17[/C][C]-264.59[/C][C]95.4228[/C][/ROW]
[ROW][C]41[/C][C]4620[/C][C]4646.71[/C][C]4588.75[/C][C]57.9568[/C][C]-26.7068[/C][/ROW]
[ROW][C]42[/C][C]4230[/C][C]4373.84[/C][C]4621.25[/C][C]-247.414[/C][C]-143.836[/C][/ROW]
[ROW][C]43[/C][C]4310[/C][C]4451.75[/C][C]4636.25[/C][C]-184.502[/C][C]-141.748[/C][/ROW]
[ROW][C]44[/C][C]4900[/C][C]5049.54[/C][C]4651.25[/C][C]398.29[/C][C]-149.54[/C][/ROW]
[ROW][C]45[/C][C]4740[/C][C]4762.33[/C][C]4644.17[/C][C]118.165[/C][C]-22.3318[/C][/ROW]
[ROW][C]46[/C][C]5080[/C][C]5001.46[/C][C]4628.75[/C][C]372.707[/C][C]78.5432[/C][/ROW]
[ROW][C]47[/C][C]5090[/C][C]4885.75[/C][C]4625.42[/C][C]260.332[/C][C]204.252[/C][/ROW]
[ROW][C]48[/C][C]4500[/C][C]4528.75[/C][C]4632.5[/C][C]-103.752[/C][C]-28.7485[/C][/ROW]
[ROW][C]49[/C][C]4670[/C][C]4547.03[/C][C]4660.42[/C][C]-113.386[/C][C]122.969[/C][/ROW]
[ROW][C]50[/C][C]4710[/C][C]4505.27[/C][C]4687.92[/C][C]-182.645[/C][C]204.728[/C][/ROW]
[ROW][C]51[/C][C]4310[/C][C]4607.17[/C][C]4718.33[/C][C]-111.164[/C][C]-297.17[/C][/ROW]
[ROW][C]52[/C][C]4390[/C][C]4490.83[/C][C]4755.42[/C][C]-264.59[/C][C]-100.827[/C][/ROW]
[ROW][C]53[/C][C]4530[/C][C]4837.54[/C][C]4779.58[/C][C]57.9568[/C][C]-307.54[/C][/ROW]
[ROW][C]54[/C][C]4490[/C][C]4562.17[/C][C]4809.58[/C][C]-247.414[/C][C]-72.1698[/C][/ROW]
[ROW][C]55[/C][C]4720[/C][C]4657.17[/C][C]4841.67[/C][C]-184.502[/C][C]62.8349[/C][/ROW]
[ROW][C]56[/C][C]5150[/C][C]5259.54[/C][C]4861.25[/C][C]398.29[/C][C]-109.54[/C][/ROW]
[ROW][C]57[/C][C]5220[/C][C]5023.58[/C][C]4905.42[/C][C]118.165[/C][C]196.418[/C][/ROW]
[ROW][C]58[/C][C]5490[/C][C]5339.79[/C][C]4967.08[/C][C]372.707[/C][C]150.21[/C][/ROW]
[ROW][C]59[/C][C]5260[/C][C]5292.83[/C][C]5032.5[/C][C]260.332[/C][C]-32.8318[/C][/ROW]
[ROW][C]60[/C][C]5050[/C][C]5002.5[/C][C]5106.25[/C][C]-103.752[/C][C]47.5015[/C][/ROW]
[ROW][C]61[/C][C]4890[/C][C]5044.53[/C][C]5157.92[/C][C]-113.386[/C][C]-154.531[/C][/ROW]
[ROW][C]62[/C][C]4960[/C][C]5000.69[/C][C]5183.33[/C][C]-182.645[/C][C]-40.6883[/C][/ROW]
[ROW][C]63[/C][C]5120[/C][C]5086.75[/C][C]5197.92[/C][C]-111.164[/C][C]33.2469[/C][/ROW]
[ROW][C]64[/C][C]5060[/C][C]4940.83[/C][C]5205.42[/C][C]-264.59[/C][C]119.173[/C][/ROW]
[ROW][C]65[/C][C]5430[/C][C]5270.87[/C][C]5212.92[/C][C]57.9568[/C][C]159.127[/C][/ROW]
[ROW][C]66[/C][C]5360[/C][C]4969.67[/C][C]5217.08[/C][C]-247.414[/C][C]390.33[/C][/ROW]
[ROW][C]67[/C][C]5090[/C][C]5026.75[/C][C]5211.25[/C][C]-184.502[/C][C]63.2515[/C][/ROW]
[ROW][C]68[/C][C]5390[/C][C]5590.37[/C][C]5192.08[/C][C]398.29[/C][C]-200.373[/C][/ROW]
[ROW][C]69[/C][C]5330[/C][C]5282.75[/C][C]5164.58[/C][C]118.165[/C][C]47.2515[/C][/ROW]
[ROW][C]70[/C][C]5560[/C][C]5502.29[/C][C]5129.58[/C][C]372.707[/C][C]57.7099[/C][/ROW]
[ROW][C]71[/C][C]5370[/C][C]5358.25[/C][C]5097.92[/C][C]260.332[/C][C]11.7515[/C][/ROW]
[ROW][C]72[/C][C]5040[/C][C]4969.58[/C][C]5073.33[/C][C]-103.752[/C][C]70.4182[/C][/ROW]
[ROW][C]73[/C][C]4760[/C][C]4943.7[/C][C]5057.08[/C][C]-113.386[/C][C]-183.698[/C][/ROW]
[ROW][C]74[/C][C]4630[/C][C]4880.69[/C][C]5063.33[/C][C]-182.645[/C][C]-250.688[/C][/ROW]
[ROW][C]75[/C][C]4790[/C][C]4960.5[/C][C]5071.67[/C][C]-111.164[/C][C]-170.503[/C][/ROW]
[ROW][C]76[/C][C]4550[/C][C]4806.66[/C][C]5071.25[/C][C]-264.59[/C][C]-256.66[/C][/ROW]
[ROW][C]77[/C][C]5180[/C][C]5139.62[/C][C]5081.67[/C][C]57.9568[/C][C]40.3765[/C][/ROW]
[ROW][C]78[/C][C]5020[/C][C]4865.92[/C][C]5113.33[/C][C]-247.414[/C][C]154.08[/C][/ROW]
[ROW][C]79[/C][C]5040[/C][C]4954.67[/C][C]5139.17[/C][C]-184.502[/C][C]85.3349[/C][/ROW]
[ROW][C]80[/C][C]5590[/C][C]5539.12[/C][C]5140.83[/C][C]398.29[/C][C]50.8765[/C][/ROW]
[ROW][C]81[/C][C]5330[/C][C]5244.83[/C][C]5126.67[/C][C]118.165[/C][C]85.1682[/C][/ROW]
[ROW][C]82[/C][C]5550[/C][C]5489.79[/C][C]5117.08[/C][C]372.707[/C][C]60.2099[/C][/ROW]
[ROW][C]83[/C][C]5630[/C][C]5374.92[/C][C]5114.58[/C][C]260.332[/C][C]255.085[/C][/ROW]
[ROW][C]84[/C][C]5540[/C][C]4994.58[/C][C]5098.33[/C][C]-103.752[/C][C]545.418[/C][/ROW]
[ROW][C]85[/C][C]4880[/C][C]4966.61[/C][C]5080[/C][C]-113.386[/C][C]-86.6142[/C][/ROW]
[ROW][C]86[/C][C]4550[/C][C]4901.94[/C][C]5084.58[/C][C]-182.645[/C][C]-351.938[/C][/ROW]
[ROW][C]87[/C][C]4530[/C][C]4980.5[/C][C]5091.67[/C][C]-111.164[/C][C]-450.503[/C][/ROW]
[ROW][C]88[/C][C]4580[/C][C]4822.91[/C][C]5087.5[/C][C]-264.59[/C][C]-242.91[/C][/ROW]
[ROW][C]89[/C][C]5090[/C][C]5133.79[/C][C]5075.83[/C][C]57.9568[/C][C]-43.7901[/C][/ROW]
[ROW][C]90[/C][C]4720[/C][C]4783.84[/C][C]5031.25[/C][C]-247.414[/C][C]-63.8364[/C][/ROW]
[ROW][C]91[/C][C]4900[/C][C]4819.25[/C][C]5003.75[/C][C]-184.502[/C][C]80.7515[/C][/ROW]
[ROW][C]92[/C][C]5840[/C][C]5426.21[/C][C]5027.92[/C][C]398.29[/C][C]413.793[/C][/ROW]
[ROW][C]93[/C][C]5250[/C][C]5186.92[/C][C]5068.75[/C][C]118.165[/C][C]63.0849[/C][/ROW]
[ROW][C]94[/C][C]5530[/C][C]5471.46[/C][C]5098.75[/C][C]372.707[/C][C]58.5432[/C][/ROW]
[ROW][C]95[/C][C]5370[/C][C]5357.83[/C][C]5097.5[/C][C]260.332[/C][C]12.1682[/C][/ROW]
[ROW][C]96[/C][C]4730[/C][C]4982.08[/C][C]5085.83[/C][C]-103.752[/C][C]-252.082[/C][/ROW]
[ROW][C]97[/C][C]5030[/C][C]4964.95[/C][C]5078.33[/C][C]-113.386[/C][C]65.0525[/C][/ROW]
[ROW][C]98[/C][C]4980[/C][C]4881.52[/C][C]5064.17[/C][C]-182.645[/C][C]98.4784[/C][/ROW]
[ROW][C]99[/C][C]5080[/C][C]4934.25[/C][C]5045.42[/C][C]-111.164[/C][C]145.747[/C][/ROW]
[ROW][C]100[/C][C]4750[/C][C]4779.99[/C][C]5044.58[/C][C]-264.59[/C][C]-29.9938[/C][/ROW]
[ROW][C]101[/C][C]4890[/C][C]5122.12[/C][C]5064.17[/C][C]57.9568[/C][C]-232.123[/C][/ROW]
[ROW][C]102[/C][C]4640[/C][C]4835.5[/C][C]5082.92[/C][C]-247.414[/C][C]-195.503[/C][/ROW]
[ROW][C]103[/C][C]4800[/C][C]4914.25[/C][C]5098.75[/C][C]-184.502[/C][C]-114.248[/C][/ROW]
[ROW][C]104[/C][C]5600[/C][C]5511.62[/C][C]5113.33[/C][C]398.29[/C][C]88.3765[/C][/ROW]
[ROW][C]105[/C][C]5040[/C][C]5231.92[/C][C]5113.75[/C][C]118.165[/C][C]-191.915[/C][/ROW]
[ROW][C]106[/C][C]5720[/C][C]5504.79[/C][C]5132.08[/C][C]372.707[/C][C]215.21[/C][/ROW]
[ROW][C]107[/C][C]5650[/C][C]5445.33[/C][C]5185[/C][C]260.332[/C][C]204.668[/C][/ROW]
[ROW][C]108[/C][C]4900[/C][C]5119.17[/C][C]5222.92[/C][C]-103.752[/C][C]-219.165[/C][/ROW]
[ROW][C]109[/C][C]5240[/C][C]5134.11[/C][C]5247.5[/C][C]-113.386[/C][C]105.886[/C][/ROW]
[ROW][C]110[/C][C]5120[/C][C]5084.85[/C][C]5267.5[/C][C]-182.645[/C][C]35.1451[/C][/ROW]
[ROW][C]111[/C][C]4950[/C][C]5174.25[/C][C]5285.42[/C][C]-111.164[/C][C]-224.253[/C][/ROW]
[ROW][C]112[/C][C]5320[/C][C]5038.74[/C][C]5303.33[/C][C]-264.59[/C][C]281.256[/C][/ROW]
[ROW][C]113[/C][C]5590[/C][C]5377.54[/C][C]5319.58[/C][C]57.9568[/C][C]212.46[/C][/ROW]
[ROW][C]114[/C][C]4850[/C][C]5099.67[/C][C]5347.08[/C][C]-247.414[/C][C]-249.67[/C][/ROW]
[ROW][C]115[/C][C]5180[/C][C]5182.58[/C][C]5367.08[/C][C]-184.502[/C][C]-2.58179[/C][/ROW]
[ROW][C]116[/C][C]5700[/C][C]5778.29[/C][C]5380[/C][C]398.29[/C][C]-78.2901[/C][/ROW]
[ROW][C]117[/C][C]5370[/C][C]5521.08[/C][C]5402.92[/C][C]118.165[/C][C]-151.082[/C][/ROW]
[ROW][C]118[/C][C]5820[/C][C]5795.21[/C][C]5422.5[/C][C]372.707[/C][C]24.7932[/C][/ROW]
[ROW][C]119[/C][C]5940[/C][C]5679.5[/C][C]5419.17[/C][C]260.332[/C][C]260.502[/C][/ROW]
[ROW][C]120[/C][C]5270[/C][C]5330[/C][C]5433.75[/C][C]-103.752[/C][C]-59.9985[/C][/ROW]
[ROW][C]121[/C][C]5350[/C][C]NA[/C][C]NA[/C][C]-113.386[/C][C]NA[/C][/ROW]
[ROW][C]122[/C][C]5320[/C][C]NA[/C][C]NA[/C][C]-182.645[/C][C]NA[/C][/ROW]
[ROW][C]123[/C][C]5300[/C][C]NA[/C][C]NA[/C][C]-111.164[/C][C]NA[/C][/ROW]
[ROW][C]124[/C][C]5440[/C][C]NA[/C][C]NA[/C][C]-264.59[/C][C]NA[/C][/ROW]
[ROW][C]125[/C][C]5390[/C][C]NA[/C][C]NA[/C][C]57.9568[/C][C]NA[/C][/ROW]
[ROW][C]126[/C][C]5400[/C][C]NA[/C][C]NA[/C][C]-247.414[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=300501&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300501&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
14400NANA-113.386NA
24300NANA-182.645NA
34610NANA-111.164NA
44100NANA-264.59NA
54000NANA57.9568NA
64130NANA-247.414NA
743204177.174361.67-184.502142.835
845604765.794367.5398.29-205.79
944304501.084382.92118.165-71.0818
1045804784.794412.08372.707-204.79
1143704715.334455260.332-345.332
1244804397.924501.67-103.75282.0849
1345204414.954528.33-113.386105.052
1443204391.14573.75-182.645-71.1049
15496045284639.17-111.164431.997
1644504412.914677.5-264.5937.0895
1746804756.714698.7557.9568-76.7068
1845704463.844711.25-247.414106.164
1945204525.084709.58-184.502-5.08179
2054505118.714720.42398.29331.293
2151104842.334724.17118.165267.668
2248205083.964711.25372.707-263.957
2346404976.584716.25260.332-336.582
2445104611.254715-103.752-101.248
2544504577.454690.83-113.386-127.448
2646504464.854647.5-182.645185.145
2747204478.424589.58-111.164241.58
2843804290.414555-264.5989.5895
2948704602.96454557.9568267.043
3043504283.424530.83-247.41466.5802
3141604340.084524.58-184.502-180.082
3247704919.544521.25398.29-149.54
3344004631.924513.75118.165-231.915
3447004885.214512.5372.707-185.207
3545204762.424502.08260.332-242.415
3642904382.924486.67-103.752-92.9151
3745204374.534487.92-113.386145.469
3845004316.944499.58-182.645183.062
39469044084519.17-111.164281.997
4043804284.584549.17-264.5995.4228
4146204646.714588.7557.9568-26.7068
4242304373.844621.25-247.414-143.836
4343104451.754636.25-184.502-141.748
4449005049.544651.25398.29-149.54
4547404762.334644.17118.165-22.3318
4650805001.464628.75372.70778.5432
4750904885.754625.42260.332204.252
4845004528.754632.5-103.752-28.7485
4946704547.034660.42-113.386122.969
5047104505.274687.92-182.645204.728
5143104607.174718.33-111.164-297.17
5243904490.834755.42-264.59-100.827
5345304837.544779.5857.9568-307.54
5444904562.174809.58-247.414-72.1698
5547204657.174841.67-184.50262.8349
5651505259.544861.25398.29-109.54
5752205023.584905.42118.165196.418
5854905339.794967.08372.707150.21
5952605292.835032.5260.332-32.8318
6050505002.55106.25-103.75247.5015
6148905044.535157.92-113.386-154.531
6249605000.695183.33-182.645-40.6883
6351205086.755197.92-111.16433.2469
6450604940.835205.42-264.59119.173
6554305270.875212.9257.9568159.127
6653604969.675217.08-247.414390.33
6750905026.755211.25-184.50263.2515
6853905590.375192.08398.29-200.373
6953305282.755164.58118.16547.2515
7055605502.295129.58372.70757.7099
7153705358.255097.92260.33211.7515
7250404969.585073.33-103.75270.4182
7347604943.75057.08-113.386-183.698
7446304880.695063.33-182.645-250.688
7547904960.55071.67-111.164-170.503
7645504806.665071.25-264.59-256.66
7751805139.625081.6757.956840.3765
7850204865.925113.33-247.414154.08
7950404954.675139.17-184.50285.3349
8055905539.125140.83398.2950.8765
8153305244.835126.67118.16585.1682
8255505489.795117.08372.70760.2099
8356305374.925114.58260.332255.085
8455404994.585098.33-103.752545.418
8548804966.615080-113.386-86.6142
8645504901.945084.58-182.645-351.938
8745304980.55091.67-111.164-450.503
8845804822.915087.5-264.59-242.91
8950905133.795075.8357.9568-43.7901
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11551805182.585367.08-184.502-2.58179
11657005778.295380398.29-78.2901
11753705521.085402.92118.165-151.082
11858205795.215422.5372.70724.7932
11959405679.55419.17260.332260.502
120527053305433.75-103.752-59.9985
1215350NANA-113.386NA
1225320NANA-182.645NA
1235300NANA-111.164NA
1245440NANA-264.59NA
1255390NANA57.9568NA
1265400NANA-247.414NA



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')