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Author*The author of this computation has been verified*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationWed, 14 Dec 2016 11:43:25 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2016/Dec/14/t1481712268bp25onkamgi8nsx.htm/, Retrieved Fri, 03 May 2024 21:00:04 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=299295, Retrieved Fri, 03 May 2024 21:00:04 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact130
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [] [2016-12-14 10:43:25] [a2f828619121b6920d6a86ccf58b51c4] [Current]
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Dataseries X:
5655
5870
6845
6785
7370
7345
6020
7105
6940
7730
7065
5890
6710
6545
7860
6960
7490
7115
5815
6130
5935
6525
5560
4365
5575
5310
5885
5505
4665
4375
3770
4235
4775
5610
4840
4450
5140
5015
5550
5695
5530
5360
4890
4725
4745
4890
4080
3385
3835
3835
4315
3870
3720
3800
3095
3155
3145
3120
2930
2255
3050
3190
3885
3800
4040
4085
3575
4295
4190
4410
4050
3590
4515
4485
4685
4680
5015
4615
4135
4550
4115
4720
3945
3140
3780
3465
4000
4210
4060
3760
3575
3750
3445
3970
3270
2830
3365
3225
3400
3990
3710
3450
3330
3290
3490
3920
3220
3275
3265
3220
3765
3900
3570
3890
3520
3455
3540
4255
3500
3150
3275
3555
4135
3900
4210
4070




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=299295&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=299295&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=299295&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
15655NANA-104.814NA
25870NANA-181.342NA
36845NANA412.964NA
46785NANA363.126NA
57370NANA305.718NA
67345NANA184.908NA
760206405.336762.29-356.958-385.334
871056793.486834.38-40.8953311.52
969406847.836904.79-56.957892.1661
1077307403.736954.37449.355326.27
1170656772.216966.67-194.458292.791
1258906181.446962.08-780.645-291.438
1367106839.146943.96-104.814-129.144
1465456713.456894.79-181.342-168.45
1578607225.266812.29412.964634.745
1669607083.336720.21363.126-123.334
1774906913.016607.29305.718576.99
1871156665.956481.04184.908449.05
1958156013.256370.21-356.958-198.251
2061306230.566271.46-40.8953-100.563
2159356080.756137.71-56.9578-145.751
2265256444.155994.79449.35580.8536
23556056225816.46-194.458-62.0006
2443654803.945584.58-780.645-438.938
2555755280.395385.21-104.814294.606
2653105039.75221.04-181.342270.3
2758855506.715093.75412.964378.286
2855055370.425007.29363.126134.583
2946655244.884939.17305.718-579.885
3043755097.624912.71184.908-722.616
3137704541.174898.12-356.958-771.167
3242354826.814867.71-40.8953-591.813
3347754784.54841.46-56.9578-9.50058
3456105284.774835.42449.355325.229
3548404684.924879.37-194.458155.083
3644504175.814956.46-780.645274.187
3751404939.355044.17-104.814200.648
3850154929.915111.25-181.34285.092
3955505543.385130.42412.9646.61979
4056955462.295099.17363.126232.708
4155305343.225037.5305.718186.782
4253605146.374961.46184.908213.634
4348904505.754862.71-356.958384.249
4447254718.274759.17-40.89536.72859
4547454601.584658.54-56.9578143.416
4648904980.44531.04449.355-90.3964
4740804185.134379.58-194.458-105.126
4833853458.524239.17-780.645-73.5214
4938353994.564099.38-104.814-159.561
5038353777.823959.17-181.34257.1753
5143154240.053827.08412.96474.9531
5238704049.793686.67363.126-179.792
5337203870.723565305.718-150.718
5438003654.913470184.908145.092
5530953033.253390.21-356.95861.7494
5631553289.733330.62-40.8953-134.73
5731453228.883285.83-56.9578-83.8756
5831203714.353265449.355-594.355
5929303080.963275.42-194.458-150.959
6022552519.983300.62-780.645-264.98
6130503227.693332.5-104.814-177.686
6231903218.663400-181.342-28.658
6338853904.013491.04412.964-19.0052
6438003951.463588.33363.126-151.459
6540403994.473688.75305.71845.5318
6640853975.953791.04184.908109.05
6735753550.753907.71-356.95824.2494
6842953981.814022.71-40.8953313.187
6941904053.044110-56.9578136.958
7044104629.354180449.355-219.355
7140504062.834257.29-194.458-12.8339
7235903539.354320-780.64550.6453
7345154260.64365.42-104.814254.398
7444854218.034399.37-181.342266.967
7546854819.844406.87412.964-134.839
7646804779.794416.67363.126-99.7922
7750154730.934425.21305.718284.073
7846154586.994402.08184.90828.0087
7941353995.754352.71-356.958139.249
8045504238.694279.58-40.8953311.312
8141154151.584208.54-56.9578-36.5839
8247204609.774160.42449.355110.229
8339453906.584101.04-194.45838.4161
8431403244.984025.62-780.645-104.98
8537803861.853966.67-104.814-81.8524
8634653728.663910-181.342-263.658
8740004261.713848.75412.964-261.714
8842104152.713789.58363.12657.2911
8940604035.933730.21305.71824.0735
9037603874.073689.17184.908-114.075
91357533023658.96-356.958272.999
9237503590.773631.67-40.8953159.229
9334453539.713596.67-56.9578-94.7089
9439704011.853562.5449.355-41.8547
9532703344.293538.75-194.458-74.2922
9628302730.63511.25-780.64599.3953
9733653383.313488.13-104.814-18.3108
9832253277.413458.75-181.342-52.408
9934003854.423441.46412.964-454.422
10039903804.383441.25363.126185.624
10137103742.83437.08305.718-32.8015
10234503638.453453.54184.908-188.45
10333303110.963467.92-356.958219.041
10432903422.653463.54-40.8953-132.646
10534903421.583478.54-56.957868.4161
10639203939.353490449.355-19.3547
10732203285.963480.42-194.458-65.9589
10832752712.273492.92-780.645562.729
10932653414.353519.17-104.814-149.352
11032203352.623533.96-181.342-132.616
11137653955.883542.92412.964-190.88
11239003922.083558.96363.126-22.0839
11335703890.33584.58305.718-320.302
11438903775.953591.04184.908114.05
11535203229.293586.25-356.958290.708
11634553559.733600.62-40.8953-104.73
11735403573.043630-56.9578-33.0422
11842554094.773645.42449.355160.229
11935003477.633672.08-194.45822.3744
12031502925.63706.25-780.645224.395
1213275NANA-104.814NA
1223555NANA-181.342NA
1234135NANA412.964NA
1243900NANA363.126NA
1254210NANA305.718NA
1264070NANA184.908NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 5655 & NA & NA & -104.814 & NA \tabularnewline
2 & 5870 & NA & NA & -181.342 & NA \tabularnewline
3 & 6845 & NA & NA & 412.964 & NA \tabularnewline
4 & 6785 & NA & NA & 363.126 & NA \tabularnewline
5 & 7370 & NA & NA & 305.718 & NA \tabularnewline
6 & 7345 & NA & NA & 184.908 & NA \tabularnewline
7 & 6020 & 6405.33 & 6762.29 & -356.958 & -385.334 \tabularnewline
8 & 7105 & 6793.48 & 6834.38 & -40.8953 & 311.52 \tabularnewline
9 & 6940 & 6847.83 & 6904.79 & -56.9578 & 92.1661 \tabularnewline
10 & 7730 & 7403.73 & 6954.37 & 449.355 & 326.27 \tabularnewline
11 & 7065 & 6772.21 & 6966.67 & -194.458 & 292.791 \tabularnewline
12 & 5890 & 6181.44 & 6962.08 & -780.645 & -291.438 \tabularnewline
13 & 6710 & 6839.14 & 6943.96 & -104.814 & -129.144 \tabularnewline
14 & 6545 & 6713.45 & 6894.79 & -181.342 & -168.45 \tabularnewline
15 & 7860 & 7225.26 & 6812.29 & 412.964 & 634.745 \tabularnewline
16 & 6960 & 7083.33 & 6720.21 & 363.126 & -123.334 \tabularnewline
17 & 7490 & 6913.01 & 6607.29 & 305.718 & 576.99 \tabularnewline
18 & 7115 & 6665.95 & 6481.04 & 184.908 & 449.05 \tabularnewline
19 & 5815 & 6013.25 & 6370.21 & -356.958 & -198.251 \tabularnewline
20 & 6130 & 6230.56 & 6271.46 & -40.8953 & -100.563 \tabularnewline
21 & 5935 & 6080.75 & 6137.71 & -56.9578 & -145.751 \tabularnewline
22 & 6525 & 6444.15 & 5994.79 & 449.355 & 80.8536 \tabularnewline
23 & 5560 & 5622 & 5816.46 & -194.458 & -62.0006 \tabularnewline
24 & 4365 & 4803.94 & 5584.58 & -780.645 & -438.938 \tabularnewline
25 & 5575 & 5280.39 & 5385.21 & -104.814 & 294.606 \tabularnewline
26 & 5310 & 5039.7 & 5221.04 & -181.342 & 270.3 \tabularnewline
27 & 5885 & 5506.71 & 5093.75 & 412.964 & 378.286 \tabularnewline
28 & 5505 & 5370.42 & 5007.29 & 363.126 & 134.583 \tabularnewline
29 & 4665 & 5244.88 & 4939.17 & 305.718 & -579.885 \tabularnewline
30 & 4375 & 5097.62 & 4912.71 & 184.908 & -722.616 \tabularnewline
31 & 3770 & 4541.17 & 4898.12 & -356.958 & -771.167 \tabularnewline
32 & 4235 & 4826.81 & 4867.71 & -40.8953 & -591.813 \tabularnewline
33 & 4775 & 4784.5 & 4841.46 & -56.9578 & -9.50058 \tabularnewline
34 & 5610 & 5284.77 & 4835.42 & 449.355 & 325.229 \tabularnewline
35 & 4840 & 4684.92 & 4879.37 & -194.458 & 155.083 \tabularnewline
36 & 4450 & 4175.81 & 4956.46 & -780.645 & 274.187 \tabularnewline
37 & 5140 & 4939.35 & 5044.17 & -104.814 & 200.648 \tabularnewline
38 & 5015 & 4929.91 & 5111.25 & -181.342 & 85.092 \tabularnewline
39 & 5550 & 5543.38 & 5130.42 & 412.964 & 6.61979 \tabularnewline
40 & 5695 & 5462.29 & 5099.17 & 363.126 & 232.708 \tabularnewline
41 & 5530 & 5343.22 & 5037.5 & 305.718 & 186.782 \tabularnewline
42 & 5360 & 5146.37 & 4961.46 & 184.908 & 213.634 \tabularnewline
43 & 4890 & 4505.75 & 4862.71 & -356.958 & 384.249 \tabularnewline
44 & 4725 & 4718.27 & 4759.17 & -40.8953 & 6.72859 \tabularnewline
45 & 4745 & 4601.58 & 4658.54 & -56.9578 & 143.416 \tabularnewline
46 & 4890 & 4980.4 & 4531.04 & 449.355 & -90.3964 \tabularnewline
47 & 4080 & 4185.13 & 4379.58 & -194.458 & -105.126 \tabularnewline
48 & 3385 & 3458.52 & 4239.17 & -780.645 & -73.5214 \tabularnewline
49 & 3835 & 3994.56 & 4099.38 & -104.814 & -159.561 \tabularnewline
50 & 3835 & 3777.82 & 3959.17 & -181.342 & 57.1753 \tabularnewline
51 & 4315 & 4240.05 & 3827.08 & 412.964 & 74.9531 \tabularnewline
52 & 3870 & 4049.79 & 3686.67 & 363.126 & -179.792 \tabularnewline
53 & 3720 & 3870.72 & 3565 & 305.718 & -150.718 \tabularnewline
54 & 3800 & 3654.91 & 3470 & 184.908 & 145.092 \tabularnewline
55 & 3095 & 3033.25 & 3390.21 & -356.958 & 61.7494 \tabularnewline
56 & 3155 & 3289.73 & 3330.62 & -40.8953 & -134.73 \tabularnewline
57 & 3145 & 3228.88 & 3285.83 & -56.9578 & -83.8756 \tabularnewline
58 & 3120 & 3714.35 & 3265 & 449.355 & -594.355 \tabularnewline
59 & 2930 & 3080.96 & 3275.42 & -194.458 & -150.959 \tabularnewline
60 & 2255 & 2519.98 & 3300.62 & -780.645 & -264.98 \tabularnewline
61 & 3050 & 3227.69 & 3332.5 & -104.814 & -177.686 \tabularnewline
62 & 3190 & 3218.66 & 3400 & -181.342 & -28.658 \tabularnewline
63 & 3885 & 3904.01 & 3491.04 & 412.964 & -19.0052 \tabularnewline
64 & 3800 & 3951.46 & 3588.33 & 363.126 & -151.459 \tabularnewline
65 & 4040 & 3994.47 & 3688.75 & 305.718 & 45.5318 \tabularnewline
66 & 4085 & 3975.95 & 3791.04 & 184.908 & 109.05 \tabularnewline
67 & 3575 & 3550.75 & 3907.71 & -356.958 & 24.2494 \tabularnewline
68 & 4295 & 3981.81 & 4022.71 & -40.8953 & 313.187 \tabularnewline
69 & 4190 & 4053.04 & 4110 & -56.9578 & 136.958 \tabularnewline
70 & 4410 & 4629.35 & 4180 & 449.355 & -219.355 \tabularnewline
71 & 4050 & 4062.83 & 4257.29 & -194.458 & -12.8339 \tabularnewline
72 & 3590 & 3539.35 & 4320 & -780.645 & 50.6453 \tabularnewline
73 & 4515 & 4260.6 & 4365.42 & -104.814 & 254.398 \tabularnewline
74 & 4485 & 4218.03 & 4399.37 & -181.342 & 266.967 \tabularnewline
75 & 4685 & 4819.84 & 4406.87 & 412.964 & -134.839 \tabularnewline
76 & 4680 & 4779.79 & 4416.67 & 363.126 & -99.7922 \tabularnewline
77 & 5015 & 4730.93 & 4425.21 & 305.718 & 284.073 \tabularnewline
78 & 4615 & 4586.99 & 4402.08 & 184.908 & 28.0087 \tabularnewline
79 & 4135 & 3995.75 & 4352.71 & -356.958 & 139.249 \tabularnewline
80 & 4550 & 4238.69 & 4279.58 & -40.8953 & 311.312 \tabularnewline
81 & 4115 & 4151.58 & 4208.54 & -56.9578 & -36.5839 \tabularnewline
82 & 4720 & 4609.77 & 4160.42 & 449.355 & 110.229 \tabularnewline
83 & 3945 & 3906.58 & 4101.04 & -194.458 & 38.4161 \tabularnewline
84 & 3140 & 3244.98 & 4025.62 & -780.645 & -104.98 \tabularnewline
85 & 3780 & 3861.85 & 3966.67 & -104.814 & -81.8524 \tabularnewline
86 & 3465 & 3728.66 & 3910 & -181.342 & -263.658 \tabularnewline
87 & 4000 & 4261.71 & 3848.75 & 412.964 & -261.714 \tabularnewline
88 & 4210 & 4152.71 & 3789.58 & 363.126 & 57.2911 \tabularnewline
89 & 4060 & 4035.93 & 3730.21 & 305.718 & 24.0735 \tabularnewline
90 & 3760 & 3874.07 & 3689.17 & 184.908 & -114.075 \tabularnewline
91 & 3575 & 3302 & 3658.96 & -356.958 & 272.999 \tabularnewline
92 & 3750 & 3590.77 & 3631.67 & -40.8953 & 159.229 \tabularnewline
93 & 3445 & 3539.71 & 3596.67 & -56.9578 & -94.7089 \tabularnewline
94 & 3970 & 4011.85 & 3562.5 & 449.355 & -41.8547 \tabularnewline
95 & 3270 & 3344.29 & 3538.75 & -194.458 & -74.2922 \tabularnewline
96 & 2830 & 2730.6 & 3511.25 & -780.645 & 99.3953 \tabularnewline
97 & 3365 & 3383.31 & 3488.13 & -104.814 & -18.3108 \tabularnewline
98 & 3225 & 3277.41 & 3458.75 & -181.342 & -52.408 \tabularnewline
99 & 3400 & 3854.42 & 3441.46 & 412.964 & -454.422 \tabularnewline
100 & 3990 & 3804.38 & 3441.25 & 363.126 & 185.624 \tabularnewline
101 & 3710 & 3742.8 & 3437.08 & 305.718 & -32.8015 \tabularnewline
102 & 3450 & 3638.45 & 3453.54 & 184.908 & -188.45 \tabularnewline
103 & 3330 & 3110.96 & 3467.92 & -356.958 & 219.041 \tabularnewline
104 & 3290 & 3422.65 & 3463.54 & -40.8953 & -132.646 \tabularnewline
105 & 3490 & 3421.58 & 3478.54 & -56.9578 & 68.4161 \tabularnewline
106 & 3920 & 3939.35 & 3490 & 449.355 & -19.3547 \tabularnewline
107 & 3220 & 3285.96 & 3480.42 & -194.458 & -65.9589 \tabularnewline
108 & 3275 & 2712.27 & 3492.92 & -780.645 & 562.729 \tabularnewline
109 & 3265 & 3414.35 & 3519.17 & -104.814 & -149.352 \tabularnewline
110 & 3220 & 3352.62 & 3533.96 & -181.342 & -132.616 \tabularnewline
111 & 3765 & 3955.88 & 3542.92 & 412.964 & -190.88 \tabularnewline
112 & 3900 & 3922.08 & 3558.96 & 363.126 & -22.0839 \tabularnewline
113 & 3570 & 3890.3 & 3584.58 & 305.718 & -320.302 \tabularnewline
114 & 3890 & 3775.95 & 3591.04 & 184.908 & 114.05 \tabularnewline
115 & 3520 & 3229.29 & 3586.25 & -356.958 & 290.708 \tabularnewline
116 & 3455 & 3559.73 & 3600.62 & -40.8953 & -104.73 \tabularnewline
117 & 3540 & 3573.04 & 3630 & -56.9578 & -33.0422 \tabularnewline
118 & 4255 & 4094.77 & 3645.42 & 449.355 & 160.229 \tabularnewline
119 & 3500 & 3477.63 & 3672.08 & -194.458 & 22.3744 \tabularnewline
120 & 3150 & 2925.6 & 3706.25 & -780.645 & 224.395 \tabularnewline
121 & 3275 & NA & NA & -104.814 & NA \tabularnewline
122 & 3555 & NA & NA & -181.342 & NA \tabularnewline
123 & 4135 & NA & NA & 412.964 & NA \tabularnewline
124 & 3900 & NA & NA & 363.126 & NA \tabularnewline
125 & 4210 & NA & NA & 305.718 & NA \tabularnewline
126 & 4070 & NA & NA & 184.908 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=299295&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]5655[/C][C]NA[/C][C]NA[/C][C]-104.814[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]5870[/C][C]NA[/C][C]NA[/C][C]-181.342[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]6845[/C][C]NA[/C][C]NA[/C][C]412.964[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]6785[/C][C]NA[/C][C]NA[/C][C]363.126[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]7370[/C][C]NA[/C][C]NA[/C][C]305.718[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]7345[/C][C]NA[/C][C]NA[/C][C]184.908[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]6020[/C][C]6405.33[/C][C]6762.29[/C][C]-356.958[/C][C]-385.334[/C][/ROW]
[ROW][C]8[/C][C]7105[/C][C]6793.48[/C][C]6834.38[/C][C]-40.8953[/C][C]311.52[/C][/ROW]
[ROW][C]9[/C][C]6940[/C][C]6847.83[/C][C]6904.79[/C][C]-56.9578[/C][C]92.1661[/C][/ROW]
[ROW][C]10[/C][C]7730[/C][C]7403.73[/C][C]6954.37[/C][C]449.355[/C][C]326.27[/C][/ROW]
[ROW][C]11[/C][C]7065[/C][C]6772.21[/C][C]6966.67[/C][C]-194.458[/C][C]292.791[/C][/ROW]
[ROW][C]12[/C][C]5890[/C][C]6181.44[/C][C]6962.08[/C][C]-780.645[/C][C]-291.438[/C][/ROW]
[ROW][C]13[/C][C]6710[/C][C]6839.14[/C][C]6943.96[/C][C]-104.814[/C][C]-129.144[/C][/ROW]
[ROW][C]14[/C][C]6545[/C][C]6713.45[/C][C]6894.79[/C][C]-181.342[/C][C]-168.45[/C][/ROW]
[ROW][C]15[/C][C]7860[/C][C]7225.26[/C][C]6812.29[/C][C]412.964[/C][C]634.745[/C][/ROW]
[ROW][C]16[/C][C]6960[/C][C]7083.33[/C][C]6720.21[/C][C]363.126[/C][C]-123.334[/C][/ROW]
[ROW][C]17[/C][C]7490[/C][C]6913.01[/C][C]6607.29[/C][C]305.718[/C][C]576.99[/C][/ROW]
[ROW][C]18[/C][C]7115[/C][C]6665.95[/C][C]6481.04[/C][C]184.908[/C][C]449.05[/C][/ROW]
[ROW][C]19[/C][C]5815[/C][C]6013.25[/C][C]6370.21[/C][C]-356.958[/C][C]-198.251[/C][/ROW]
[ROW][C]20[/C][C]6130[/C][C]6230.56[/C][C]6271.46[/C][C]-40.8953[/C][C]-100.563[/C][/ROW]
[ROW][C]21[/C][C]5935[/C][C]6080.75[/C][C]6137.71[/C][C]-56.9578[/C][C]-145.751[/C][/ROW]
[ROW][C]22[/C][C]6525[/C][C]6444.15[/C][C]5994.79[/C][C]449.355[/C][C]80.8536[/C][/ROW]
[ROW][C]23[/C][C]5560[/C][C]5622[/C][C]5816.46[/C][C]-194.458[/C][C]-62.0006[/C][/ROW]
[ROW][C]24[/C][C]4365[/C][C]4803.94[/C][C]5584.58[/C][C]-780.645[/C][C]-438.938[/C][/ROW]
[ROW][C]25[/C][C]5575[/C][C]5280.39[/C][C]5385.21[/C][C]-104.814[/C][C]294.606[/C][/ROW]
[ROW][C]26[/C][C]5310[/C][C]5039.7[/C][C]5221.04[/C][C]-181.342[/C][C]270.3[/C][/ROW]
[ROW][C]27[/C][C]5885[/C][C]5506.71[/C][C]5093.75[/C][C]412.964[/C][C]378.286[/C][/ROW]
[ROW][C]28[/C][C]5505[/C][C]5370.42[/C][C]5007.29[/C][C]363.126[/C][C]134.583[/C][/ROW]
[ROW][C]29[/C][C]4665[/C][C]5244.88[/C][C]4939.17[/C][C]305.718[/C][C]-579.885[/C][/ROW]
[ROW][C]30[/C][C]4375[/C][C]5097.62[/C][C]4912.71[/C][C]184.908[/C][C]-722.616[/C][/ROW]
[ROW][C]31[/C][C]3770[/C][C]4541.17[/C][C]4898.12[/C][C]-356.958[/C][C]-771.167[/C][/ROW]
[ROW][C]32[/C][C]4235[/C][C]4826.81[/C][C]4867.71[/C][C]-40.8953[/C][C]-591.813[/C][/ROW]
[ROW][C]33[/C][C]4775[/C][C]4784.5[/C][C]4841.46[/C][C]-56.9578[/C][C]-9.50058[/C][/ROW]
[ROW][C]34[/C][C]5610[/C][C]5284.77[/C][C]4835.42[/C][C]449.355[/C][C]325.229[/C][/ROW]
[ROW][C]35[/C][C]4840[/C][C]4684.92[/C][C]4879.37[/C][C]-194.458[/C][C]155.083[/C][/ROW]
[ROW][C]36[/C][C]4450[/C][C]4175.81[/C][C]4956.46[/C][C]-780.645[/C][C]274.187[/C][/ROW]
[ROW][C]37[/C][C]5140[/C][C]4939.35[/C][C]5044.17[/C][C]-104.814[/C][C]200.648[/C][/ROW]
[ROW][C]38[/C][C]5015[/C][C]4929.91[/C][C]5111.25[/C][C]-181.342[/C][C]85.092[/C][/ROW]
[ROW][C]39[/C][C]5550[/C][C]5543.38[/C][C]5130.42[/C][C]412.964[/C][C]6.61979[/C][/ROW]
[ROW][C]40[/C][C]5695[/C][C]5462.29[/C][C]5099.17[/C][C]363.126[/C][C]232.708[/C][/ROW]
[ROW][C]41[/C][C]5530[/C][C]5343.22[/C][C]5037.5[/C][C]305.718[/C][C]186.782[/C][/ROW]
[ROW][C]42[/C][C]5360[/C][C]5146.37[/C][C]4961.46[/C][C]184.908[/C][C]213.634[/C][/ROW]
[ROW][C]43[/C][C]4890[/C][C]4505.75[/C][C]4862.71[/C][C]-356.958[/C][C]384.249[/C][/ROW]
[ROW][C]44[/C][C]4725[/C][C]4718.27[/C][C]4759.17[/C][C]-40.8953[/C][C]6.72859[/C][/ROW]
[ROW][C]45[/C][C]4745[/C][C]4601.58[/C][C]4658.54[/C][C]-56.9578[/C][C]143.416[/C][/ROW]
[ROW][C]46[/C][C]4890[/C][C]4980.4[/C][C]4531.04[/C][C]449.355[/C][C]-90.3964[/C][/ROW]
[ROW][C]47[/C][C]4080[/C][C]4185.13[/C][C]4379.58[/C][C]-194.458[/C][C]-105.126[/C][/ROW]
[ROW][C]48[/C][C]3385[/C][C]3458.52[/C][C]4239.17[/C][C]-780.645[/C][C]-73.5214[/C][/ROW]
[ROW][C]49[/C][C]3835[/C][C]3994.56[/C][C]4099.38[/C][C]-104.814[/C][C]-159.561[/C][/ROW]
[ROW][C]50[/C][C]3835[/C][C]3777.82[/C][C]3959.17[/C][C]-181.342[/C][C]57.1753[/C][/ROW]
[ROW][C]51[/C][C]4315[/C][C]4240.05[/C][C]3827.08[/C][C]412.964[/C][C]74.9531[/C][/ROW]
[ROW][C]52[/C][C]3870[/C][C]4049.79[/C][C]3686.67[/C][C]363.126[/C][C]-179.792[/C][/ROW]
[ROW][C]53[/C][C]3720[/C][C]3870.72[/C][C]3565[/C][C]305.718[/C][C]-150.718[/C][/ROW]
[ROW][C]54[/C][C]3800[/C][C]3654.91[/C][C]3470[/C][C]184.908[/C][C]145.092[/C][/ROW]
[ROW][C]55[/C][C]3095[/C][C]3033.25[/C][C]3390.21[/C][C]-356.958[/C][C]61.7494[/C][/ROW]
[ROW][C]56[/C][C]3155[/C][C]3289.73[/C][C]3330.62[/C][C]-40.8953[/C][C]-134.73[/C][/ROW]
[ROW][C]57[/C][C]3145[/C][C]3228.88[/C][C]3285.83[/C][C]-56.9578[/C][C]-83.8756[/C][/ROW]
[ROW][C]58[/C][C]3120[/C][C]3714.35[/C][C]3265[/C][C]449.355[/C][C]-594.355[/C][/ROW]
[ROW][C]59[/C][C]2930[/C][C]3080.96[/C][C]3275.42[/C][C]-194.458[/C][C]-150.959[/C][/ROW]
[ROW][C]60[/C][C]2255[/C][C]2519.98[/C][C]3300.62[/C][C]-780.645[/C][C]-264.98[/C][/ROW]
[ROW][C]61[/C][C]3050[/C][C]3227.69[/C][C]3332.5[/C][C]-104.814[/C][C]-177.686[/C][/ROW]
[ROW][C]62[/C][C]3190[/C][C]3218.66[/C][C]3400[/C][C]-181.342[/C][C]-28.658[/C][/ROW]
[ROW][C]63[/C][C]3885[/C][C]3904.01[/C][C]3491.04[/C][C]412.964[/C][C]-19.0052[/C][/ROW]
[ROW][C]64[/C][C]3800[/C][C]3951.46[/C][C]3588.33[/C][C]363.126[/C][C]-151.459[/C][/ROW]
[ROW][C]65[/C][C]4040[/C][C]3994.47[/C][C]3688.75[/C][C]305.718[/C][C]45.5318[/C][/ROW]
[ROW][C]66[/C][C]4085[/C][C]3975.95[/C][C]3791.04[/C][C]184.908[/C][C]109.05[/C][/ROW]
[ROW][C]67[/C][C]3575[/C][C]3550.75[/C][C]3907.71[/C][C]-356.958[/C][C]24.2494[/C][/ROW]
[ROW][C]68[/C][C]4295[/C][C]3981.81[/C][C]4022.71[/C][C]-40.8953[/C][C]313.187[/C][/ROW]
[ROW][C]69[/C][C]4190[/C][C]4053.04[/C][C]4110[/C][C]-56.9578[/C][C]136.958[/C][/ROW]
[ROW][C]70[/C][C]4410[/C][C]4629.35[/C][C]4180[/C][C]449.355[/C][C]-219.355[/C][/ROW]
[ROW][C]71[/C][C]4050[/C][C]4062.83[/C][C]4257.29[/C][C]-194.458[/C][C]-12.8339[/C][/ROW]
[ROW][C]72[/C][C]3590[/C][C]3539.35[/C][C]4320[/C][C]-780.645[/C][C]50.6453[/C][/ROW]
[ROW][C]73[/C][C]4515[/C][C]4260.6[/C][C]4365.42[/C][C]-104.814[/C][C]254.398[/C][/ROW]
[ROW][C]74[/C][C]4485[/C][C]4218.03[/C][C]4399.37[/C][C]-181.342[/C][C]266.967[/C][/ROW]
[ROW][C]75[/C][C]4685[/C][C]4819.84[/C][C]4406.87[/C][C]412.964[/C][C]-134.839[/C][/ROW]
[ROW][C]76[/C][C]4680[/C][C]4779.79[/C][C]4416.67[/C][C]363.126[/C][C]-99.7922[/C][/ROW]
[ROW][C]77[/C][C]5015[/C][C]4730.93[/C][C]4425.21[/C][C]305.718[/C][C]284.073[/C][/ROW]
[ROW][C]78[/C][C]4615[/C][C]4586.99[/C][C]4402.08[/C][C]184.908[/C][C]28.0087[/C][/ROW]
[ROW][C]79[/C][C]4135[/C][C]3995.75[/C][C]4352.71[/C][C]-356.958[/C][C]139.249[/C][/ROW]
[ROW][C]80[/C][C]4550[/C][C]4238.69[/C][C]4279.58[/C][C]-40.8953[/C][C]311.312[/C][/ROW]
[ROW][C]81[/C][C]4115[/C][C]4151.58[/C][C]4208.54[/C][C]-56.9578[/C][C]-36.5839[/C][/ROW]
[ROW][C]82[/C][C]4720[/C][C]4609.77[/C][C]4160.42[/C][C]449.355[/C][C]110.229[/C][/ROW]
[ROW][C]83[/C][C]3945[/C][C]3906.58[/C][C]4101.04[/C][C]-194.458[/C][C]38.4161[/C][/ROW]
[ROW][C]84[/C][C]3140[/C][C]3244.98[/C][C]4025.62[/C][C]-780.645[/C][C]-104.98[/C][/ROW]
[ROW][C]85[/C][C]3780[/C][C]3861.85[/C][C]3966.67[/C][C]-104.814[/C][C]-81.8524[/C][/ROW]
[ROW][C]86[/C][C]3465[/C][C]3728.66[/C][C]3910[/C][C]-181.342[/C][C]-263.658[/C][/ROW]
[ROW][C]87[/C][C]4000[/C][C]4261.71[/C][C]3848.75[/C][C]412.964[/C][C]-261.714[/C][/ROW]
[ROW][C]88[/C][C]4210[/C][C]4152.71[/C][C]3789.58[/C][C]363.126[/C][C]57.2911[/C][/ROW]
[ROW][C]89[/C][C]4060[/C][C]4035.93[/C][C]3730.21[/C][C]305.718[/C][C]24.0735[/C][/ROW]
[ROW][C]90[/C][C]3760[/C][C]3874.07[/C][C]3689.17[/C][C]184.908[/C][C]-114.075[/C][/ROW]
[ROW][C]91[/C][C]3575[/C][C]3302[/C][C]3658.96[/C][C]-356.958[/C][C]272.999[/C][/ROW]
[ROW][C]92[/C][C]3750[/C][C]3590.77[/C][C]3631.67[/C][C]-40.8953[/C][C]159.229[/C][/ROW]
[ROW][C]93[/C][C]3445[/C][C]3539.71[/C][C]3596.67[/C][C]-56.9578[/C][C]-94.7089[/C][/ROW]
[ROW][C]94[/C][C]3970[/C][C]4011.85[/C][C]3562.5[/C][C]449.355[/C][C]-41.8547[/C][/ROW]
[ROW][C]95[/C][C]3270[/C][C]3344.29[/C][C]3538.75[/C][C]-194.458[/C][C]-74.2922[/C][/ROW]
[ROW][C]96[/C][C]2830[/C][C]2730.6[/C][C]3511.25[/C][C]-780.645[/C][C]99.3953[/C][/ROW]
[ROW][C]97[/C][C]3365[/C][C]3383.31[/C][C]3488.13[/C][C]-104.814[/C][C]-18.3108[/C][/ROW]
[ROW][C]98[/C][C]3225[/C][C]3277.41[/C][C]3458.75[/C][C]-181.342[/C][C]-52.408[/C][/ROW]
[ROW][C]99[/C][C]3400[/C][C]3854.42[/C][C]3441.46[/C][C]412.964[/C][C]-454.422[/C][/ROW]
[ROW][C]100[/C][C]3990[/C][C]3804.38[/C][C]3441.25[/C][C]363.126[/C][C]185.624[/C][/ROW]
[ROW][C]101[/C][C]3710[/C][C]3742.8[/C][C]3437.08[/C][C]305.718[/C][C]-32.8015[/C][/ROW]
[ROW][C]102[/C][C]3450[/C][C]3638.45[/C][C]3453.54[/C][C]184.908[/C][C]-188.45[/C][/ROW]
[ROW][C]103[/C][C]3330[/C][C]3110.96[/C][C]3467.92[/C][C]-356.958[/C][C]219.041[/C][/ROW]
[ROW][C]104[/C][C]3290[/C][C]3422.65[/C][C]3463.54[/C][C]-40.8953[/C][C]-132.646[/C][/ROW]
[ROW][C]105[/C][C]3490[/C][C]3421.58[/C][C]3478.54[/C][C]-56.9578[/C][C]68.4161[/C][/ROW]
[ROW][C]106[/C][C]3920[/C][C]3939.35[/C][C]3490[/C][C]449.355[/C][C]-19.3547[/C][/ROW]
[ROW][C]107[/C][C]3220[/C][C]3285.96[/C][C]3480.42[/C][C]-194.458[/C][C]-65.9589[/C][/ROW]
[ROW][C]108[/C][C]3275[/C][C]2712.27[/C][C]3492.92[/C][C]-780.645[/C][C]562.729[/C][/ROW]
[ROW][C]109[/C][C]3265[/C][C]3414.35[/C][C]3519.17[/C][C]-104.814[/C][C]-149.352[/C][/ROW]
[ROW][C]110[/C][C]3220[/C][C]3352.62[/C][C]3533.96[/C][C]-181.342[/C][C]-132.616[/C][/ROW]
[ROW][C]111[/C][C]3765[/C][C]3955.88[/C][C]3542.92[/C][C]412.964[/C][C]-190.88[/C][/ROW]
[ROW][C]112[/C][C]3900[/C][C]3922.08[/C][C]3558.96[/C][C]363.126[/C][C]-22.0839[/C][/ROW]
[ROW][C]113[/C][C]3570[/C][C]3890.3[/C][C]3584.58[/C][C]305.718[/C][C]-320.302[/C][/ROW]
[ROW][C]114[/C][C]3890[/C][C]3775.95[/C][C]3591.04[/C][C]184.908[/C][C]114.05[/C][/ROW]
[ROW][C]115[/C][C]3520[/C][C]3229.29[/C][C]3586.25[/C][C]-356.958[/C][C]290.708[/C][/ROW]
[ROW][C]116[/C][C]3455[/C][C]3559.73[/C][C]3600.62[/C][C]-40.8953[/C][C]-104.73[/C][/ROW]
[ROW][C]117[/C][C]3540[/C][C]3573.04[/C][C]3630[/C][C]-56.9578[/C][C]-33.0422[/C][/ROW]
[ROW][C]118[/C][C]4255[/C][C]4094.77[/C][C]3645.42[/C][C]449.355[/C][C]160.229[/C][/ROW]
[ROW][C]119[/C][C]3500[/C][C]3477.63[/C][C]3672.08[/C][C]-194.458[/C][C]22.3744[/C][/ROW]
[ROW][C]120[/C][C]3150[/C][C]2925.6[/C][C]3706.25[/C][C]-780.645[/C][C]224.395[/C][/ROW]
[ROW][C]121[/C][C]3275[/C][C]NA[/C][C]NA[/C][C]-104.814[/C][C]NA[/C][/ROW]
[ROW][C]122[/C][C]3555[/C][C]NA[/C][C]NA[/C][C]-181.342[/C][C]NA[/C][/ROW]
[ROW][C]123[/C][C]4135[/C][C]NA[/C][C]NA[/C][C]412.964[/C][C]NA[/C][/ROW]
[ROW][C]124[/C][C]3900[/C][C]NA[/C][C]NA[/C][C]363.126[/C][C]NA[/C][/ROW]
[ROW][C]125[/C][C]4210[/C][C]NA[/C][C]NA[/C][C]305.718[/C][C]NA[/C][/ROW]
[ROW][C]126[/C][C]4070[/C][C]NA[/C][C]NA[/C][C]184.908[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=299295&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=299295&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
15655NANA-104.814NA
25870NANA-181.342NA
36845NANA412.964NA
46785NANA363.126NA
57370NANA305.718NA
67345NANA184.908NA
760206405.336762.29-356.958-385.334
871056793.486834.38-40.8953311.52
969406847.836904.79-56.957892.1661
1077307403.736954.37449.355326.27
1170656772.216966.67-194.458292.791
1258906181.446962.08-780.645-291.438
1367106839.146943.96-104.814-129.144
1465456713.456894.79-181.342-168.45
1578607225.266812.29412.964634.745
1669607083.336720.21363.126-123.334
1774906913.016607.29305.718576.99
1871156665.956481.04184.908449.05
1958156013.256370.21-356.958-198.251
2061306230.566271.46-40.8953-100.563
2159356080.756137.71-56.9578-145.751
2265256444.155994.79449.35580.8536
23556056225816.46-194.458-62.0006
2443654803.945584.58-780.645-438.938
2555755280.395385.21-104.814294.606
2653105039.75221.04-181.342270.3
2758855506.715093.75412.964378.286
2855055370.425007.29363.126134.583
2946655244.884939.17305.718-579.885
3043755097.624912.71184.908-722.616
3137704541.174898.12-356.958-771.167
3242354826.814867.71-40.8953-591.813
3347754784.54841.46-56.9578-9.50058
3456105284.774835.42449.355325.229
3548404684.924879.37-194.458155.083
3644504175.814956.46-780.645274.187
3751404939.355044.17-104.814200.648
3850154929.915111.25-181.34285.092
3955505543.385130.42412.9646.61979
4056955462.295099.17363.126232.708
4155305343.225037.5305.718186.782
4253605146.374961.46184.908213.634
4348904505.754862.71-356.958384.249
4447254718.274759.17-40.89536.72859
4547454601.584658.54-56.9578143.416
4648904980.44531.04449.355-90.3964
4740804185.134379.58-194.458-105.126
4833853458.524239.17-780.645-73.5214
4938353994.564099.38-104.814-159.561
5038353777.823959.17-181.34257.1753
5143154240.053827.08412.96474.9531
5238704049.793686.67363.126-179.792
5337203870.723565305.718-150.718
5438003654.913470184.908145.092
5530953033.253390.21-356.95861.7494
5631553289.733330.62-40.8953-134.73
5731453228.883285.83-56.9578-83.8756
5831203714.353265449.355-594.355
5929303080.963275.42-194.458-150.959
6022552519.983300.62-780.645-264.98
6130503227.693332.5-104.814-177.686
6231903218.663400-181.342-28.658
6338853904.013491.04412.964-19.0052
6438003951.463588.33363.126-151.459
6540403994.473688.75305.71845.5318
6640853975.953791.04184.908109.05
6735753550.753907.71-356.95824.2494
6842953981.814022.71-40.8953313.187
6941904053.044110-56.9578136.958
7044104629.354180449.355-219.355
7140504062.834257.29-194.458-12.8339
7235903539.354320-780.64550.6453
7345154260.64365.42-104.814254.398
7444854218.034399.37-181.342266.967
7546854819.844406.87412.964-134.839
7646804779.794416.67363.126-99.7922
7750154730.934425.21305.718284.073
7846154586.994402.08184.90828.0087
7941353995.754352.71-356.958139.249
8045504238.694279.58-40.8953311.312
8141154151.584208.54-56.9578-36.5839
8247204609.774160.42449.355110.229
8339453906.584101.04-194.45838.4161
8431403244.984025.62-780.645-104.98
8537803861.853966.67-104.814-81.8524
8634653728.663910-181.342-263.658
8740004261.713848.75412.964-261.714
8842104152.713789.58363.12657.2911
8940604035.933730.21305.71824.0735
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11535203229.293586.25-356.958290.708
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11735403573.043630-56.9578-33.0422
11842554094.773645.42449.355160.229
11935003477.633672.08-194.45822.3744
12031502925.63706.25-780.645224.395
1213275NANA-104.814NA
1223555NANA-181.342NA
1234135NANA412.964NA
1243900NANA363.126NA
1254210NANA305.718NA
1264070NANA184.908NA



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')