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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 10:59:14 +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/t1481104772hcnhy52tmlx8jsj.htm/, Retrieved Tue, 07 May 2024 11:07:17 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=297943, Retrieved Tue, 07 May 2024 11:07:17 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact104
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [Classical decompo...] [2016-12-07 09:59:14] [6b2845a830bced35782aaf33b6e68e42] [Current]
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Dataseries X:
3400
2360
2540
2540
2180
2440
2860
4100
3500
3660
4060
5000
3780
2840
2600
2460
2280
3040
3100
3600
4340
4040
3680
3480
2740
2820
2620
2480
2040
2720
2260
2600
3540
3720
3440
3160
3160
2400
2760
2380
2740
2460
4960
3460
2900
2780
3520
2760
2660
2240
2700
2260
2180
3160
3420
2200
2880
2580
2260
2480
2600
1960
2320
2320
1960
2120
2820
3060
3280
3660
3720
2640
3100
2700
2060
2360
2120
2560
2900
2840
3520
3220
2540
2580
2360
2340
2120
2080
2260
2520
2680
3420
3040
3300
3200
2460
3020
2280
2220
2320
2080
2120
2080
2780
3760
3780
4320
2700




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=297943&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=297943&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=297943&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
13400NANA65.7899NA
22360NANA-403.273NA
32540NANA-420.252NA
42540NANA-514.731NA
52180NANA-641.71NA
62440NANA-251.085NA
728603482.253235.83246.415-622.248
841003555.483271.67283.811544.523
935003795.063294.17500.894-295.061
1036603792.043293.33498.707-132.04
1140603727.043294.17432.873332.96
1250003525.893323.33202.5611474.11
1337803424.123358.3365.7899355.877
1428402944.233347.5-403.273-104.227
1526002941.413361.67-420.252-341.415
1624602897.773412.5-514.731-437.769
1722802770.793412.5-641.71-490.79
1830403082.253333.33-251.085-42.2483
1931003473.083226.67246.415-373.082
2036003466.313182.5283.811133.689
2143403683.393182.5500.894656.606
2240403682.873184.17498.707357.127
2336803607.873175432.87372.1267
2434803354.233151.67202.561125.773
2527403169.123103.3365.7899-429.123
2628202623.393026.67-403.273196.606
2726202531.412951.67-420.25288.5851
2824802390.272905-514.73189.7309
2920402239.962881.67-641.71-199.957
3027202607.252858.33-251.085112.752
3122603108.912862.5246.415-848.915
3226003146.312862.5283.811-546.311
3335403351.732850.83500.894188.273
3437203351.212852.5498.707368.793
3534403310.372877.5432.873129.627
3631603098.392895.83202.56161.6059
3731603063.292997.565.789996.7101
3824002742.563145.83-403.273-342.561
3927602734.753155-420.25225.2517
4023802574.443089.17-514.731-194.436
4127402411.623053.33-641.71328.377
4224602788.913040-251.085-328.915
4349603248.913002.5246.4151711.09
4434603258.812975283.811201.189
4529003466.732965.83500.894-566.727
4627803457.042958.33498.707-677.04
4735203362.872930432.873157.127
4827603138.392935.83202.561-378.394
4926602966.622900.8365.7899-306.623
5022402380.892784.17-403.273-140.894
5127002310.582730.83-420.252389.418
5222602206.942721.67-514.73153.0642
5321802019.122660.83-641.71160.877
5431602345.582596.67-251.085814.418
5534202828.912582.5246.415591.085
5622002852.142568.33283.811-652.144
5728803041.732540.83500.894-161.727
5825803026.212527.5498.707-446.207
5922602953.712520.83432.873-693.707
6024802670.892468.33202.561-190.894
6126002465.79240065.7899134.21
6219602007.562410.83-403.273-47.5608
6323202043.082463.33-420.252276.918
6423202010.272525-514.731309.731
6519601989.122630.83-641.71-29.1233
6621202447.252698.33-251.085-327.248
6728202972.252725.83246.415-152.248
6830603061.312777.5283.811-1.31076
6932803298.392797.5500.894-18.3941
7036603287.042788.33498.707372.96
7137203229.542796.67432.873490.46
7226403024.232821.67202.561-384.227
7331002909.122843.3365.7899190.877
7427002434.232837.5-403.273265.773
7520602418.082838.33-420.252-358.082
7623602315.272830-514.73144.7309
7721202120.792762.5-641.71-0.789931
7825602459.752710.83-251.085100.252
7929002923.912677.5246.415-23.9149
8028402915.482631.67283.811-75.4774
8135203120.062619.17500.894399.939
8232203108.712610498.707111.293
8325403037.042604.17432.873-497.04
8425802810.892608.33202.561-230.894
8523602663.292597.565.7899-303.29
8623402209.232612.5-403.273130.773
8721202196.412616.67-420.252-76.4149
8820802085.272600-514.731-5.2691
8922601989.122630.83-641.71270.877
9025202402.252653.33-251.085117.752
9126802922.252675.83246.415-242.248
9234202984.642700.83283.811435.356
9330403203.392702.5500.894-163.394
9433003215.372716.67498.70784.6267
9532003152.042719.17432.87347.9601
9624602897.562695202.561-437.561
9730202719.122653.3365.7899300.877
9822802198.392601.67-403.27381.6059
9922202184.752605-420.25235.2517
10023202140.272655-514.731179.731
10120802079.962721.67-641.710.0434028
10221202527.252778.33-251.085-407.248
1032080NANA246.415NA
1042780NANA283.811NA
1053760NANA500.894NA
1063780NANA498.707NA
1074320NANA432.873NA
1082700NANA202.561NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 3400 & NA & NA & 65.7899 & NA \tabularnewline
2 & 2360 & NA & NA & -403.273 & NA \tabularnewline
3 & 2540 & NA & NA & -420.252 & NA \tabularnewline
4 & 2540 & NA & NA & -514.731 & NA \tabularnewline
5 & 2180 & NA & NA & -641.71 & NA \tabularnewline
6 & 2440 & NA & NA & -251.085 & NA \tabularnewline
7 & 2860 & 3482.25 & 3235.83 & 246.415 & -622.248 \tabularnewline
8 & 4100 & 3555.48 & 3271.67 & 283.811 & 544.523 \tabularnewline
9 & 3500 & 3795.06 & 3294.17 & 500.894 & -295.061 \tabularnewline
10 & 3660 & 3792.04 & 3293.33 & 498.707 & -132.04 \tabularnewline
11 & 4060 & 3727.04 & 3294.17 & 432.873 & 332.96 \tabularnewline
12 & 5000 & 3525.89 & 3323.33 & 202.561 & 1474.11 \tabularnewline
13 & 3780 & 3424.12 & 3358.33 & 65.7899 & 355.877 \tabularnewline
14 & 2840 & 2944.23 & 3347.5 & -403.273 & -104.227 \tabularnewline
15 & 2600 & 2941.41 & 3361.67 & -420.252 & -341.415 \tabularnewline
16 & 2460 & 2897.77 & 3412.5 & -514.731 & -437.769 \tabularnewline
17 & 2280 & 2770.79 & 3412.5 & -641.71 & -490.79 \tabularnewline
18 & 3040 & 3082.25 & 3333.33 & -251.085 & -42.2483 \tabularnewline
19 & 3100 & 3473.08 & 3226.67 & 246.415 & -373.082 \tabularnewline
20 & 3600 & 3466.31 & 3182.5 & 283.811 & 133.689 \tabularnewline
21 & 4340 & 3683.39 & 3182.5 & 500.894 & 656.606 \tabularnewline
22 & 4040 & 3682.87 & 3184.17 & 498.707 & 357.127 \tabularnewline
23 & 3680 & 3607.87 & 3175 & 432.873 & 72.1267 \tabularnewline
24 & 3480 & 3354.23 & 3151.67 & 202.561 & 125.773 \tabularnewline
25 & 2740 & 3169.12 & 3103.33 & 65.7899 & -429.123 \tabularnewline
26 & 2820 & 2623.39 & 3026.67 & -403.273 & 196.606 \tabularnewline
27 & 2620 & 2531.41 & 2951.67 & -420.252 & 88.5851 \tabularnewline
28 & 2480 & 2390.27 & 2905 & -514.731 & 89.7309 \tabularnewline
29 & 2040 & 2239.96 & 2881.67 & -641.71 & -199.957 \tabularnewline
30 & 2720 & 2607.25 & 2858.33 & -251.085 & 112.752 \tabularnewline
31 & 2260 & 3108.91 & 2862.5 & 246.415 & -848.915 \tabularnewline
32 & 2600 & 3146.31 & 2862.5 & 283.811 & -546.311 \tabularnewline
33 & 3540 & 3351.73 & 2850.83 & 500.894 & 188.273 \tabularnewline
34 & 3720 & 3351.21 & 2852.5 & 498.707 & 368.793 \tabularnewline
35 & 3440 & 3310.37 & 2877.5 & 432.873 & 129.627 \tabularnewline
36 & 3160 & 3098.39 & 2895.83 & 202.561 & 61.6059 \tabularnewline
37 & 3160 & 3063.29 & 2997.5 & 65.7899 & 96.7101 \tabularnewline
38 & 2400 & 2742.56 & 3145.83 & -403.273 & -342.561 \tabularnewline
39 & 2760 & 2734.75 & 3155 & -420.252 & 25.2517 \tabularnewline
40 & 2380 & 2574.44 & 3089.17 & -514.731 & -194.436 \tabularnewline
41 & 2740 & 2411.62 & 3053.33 & -641.71 & 328.377 \tabularnewline
42 & 2460 & 2788.91 & 3040 & -251.085 & -328.915 \tabularnewline
43 & 4960 & 3248.91 & 3002.5 & 246.415 & 1711.09 \tabularnewline
44 & 3460 & 3258.81 & 2975 & 283.811 & 201.189 \tabularnewline
45 & 2900 & 3466.73 & 2965.83 & 500.894 & -566.727 \tabularnewline
46 & 2780 & 3457.04 & 2958.33 & 498.707 & -677.04 \tabularnewline
47 & 3520 & 3362.87 & 2930 & 432.873 & 157.127 \tabularnewline
48 & 2760 & 3138.39 & 2935.83 & 202.561 & -378.394 \tabularnewline
49 & 2660 & 2966.62 & 2900.83 & 65.7899 & -306.623 \tabularnewline
50 & 2240 & 2380.89 & 2784.17 & -403.273 & -140.894 \tabularnewline
51 & 2700 & 2310.58 & 2730.83 & -420.252 & 389.418 \tabularnewline
52 & 2260 & 2206.94 & 2721.67 & -514.731 & 53.0642 \tabularnewline
53 & 2180 & 2019.12 & 2660.83 & -641.71 & 160.877 \tabularnewline
54 & 3160 & 2345.58 & 2596.67 & -251.085 & 814.418 \tabularnewline
55 & 3420 & 2828.91 & 2582.5 & 246.415 & 591.085 \tabularnewline
56 & 2200 & 2852.14 & 2568.33 & 283.811 & -652.144 \tabularnewline
57 & 2880 & 3041.73 & 2540.83 & 500.894 & -161.727 \tabularnewline
58 & 2580 & 3026.21 & 2527.5 & 498.707 & -446.207 \tabularnewline
59 & 2260 & 2953.71 & 2520.83 & 432.873 & -693.707 \tabularnewline
60 & 2480 & 2670.89 & 2468.33 & 202.561 & -190.894 \tabularnewline
61 & 2600 & 2465.79 & 2400 & 65.7899 & 134.21 \tabularnewline
62 & 1960 & 2007.56 & 2410.83 & -403.273 & -47.5608 \tabularnewline
63 & 2320 & 2043.08 & 2463.33 & -420.252 & 276.918 \tabularnewline
64 & 2320 & 2010.27 & 2525 & -514.731 & 309.731 \tabularnewline
65 & 1960 & 1989.12 & 2630.83 & -641.71 & -29.1233 \tabularnewline
66 & 2120 & 2447.25 & 2698.33 & -251.085 & -327.248 \tabularnewline
67 & 2820 & 2972.25 & 2725.83 & 246.415 & -152.248 \tabularnewline
68 & 3060 & 3061.31 & 2777.5 & 283.811 & -1.31076 \tabularnewline
69 & 3280 & 3298.39 & 2797.5 & 500.894 & -18.3941 \tabularnewline
70 & 3660 & 3287.04 & 2788.33 & 498.707 & 372.96 \tabularnewline
71 & 3720 & 3229.54 & 2796.67 & 432.873 & 490.46 \tabularnewline
72 & 2640 & 3024.23 & 2821.67 & 202.561 & -384.227 \tabularnewline
73 & 3100 & 2909.12 & 2843.33 & 65.7899 & 190.877 \tabularnewline
74 & 2700 & 2434.23 & 2837.5 & -403.273 & 265.773 \tabularnewline
75 & 2060 & 2418.08 & 2838.33 & -420.252 & -358.082 \tabularnewline
76 & 2360 & 2315.27 & 2830 & -514.731 & 44.7309 \tabularnewline
77 & 2120 & 2120.79 & 2762.5 & -641.71 & -0.789931 \tabularnewline
78 & 2560 & 2459.75 & 2710.83 & -251.085 & 100.252 \tabularnewline
79 & 2900 & 2923.91 & 2677.5 & 246.415 & -23.9149 \tabularnewline
80 & 2840 & 2915.48 & 2631.67 & 283.811 & -75.4774 \tabularnewline
81 & 3520 & 3120.06 & 2619.17 & 500.894 & 399.939 \tabularnewline
82 & 3220 & 3108.71 & 2610 & 498.707 & 111.293 \tabularnewline
83 & 2540 & 3037.04 & 2604.17 & 432.873 & -497.04 \tabularnewline
84 & 2580 & 2810.89 & 2608.33 & 202.561 & -230.894 \tabularnewline
85 & 2360 & 2663.29 & 2597.5 & 65.7899 & -303.29 \tabularnewline
86 & 2340 & 2209.23 & 2612.5 & -403.273 & 130.773 \tabularnewline
87 & 2120 & 2196.41 & 2616.67 & -420.252 & -76.4149 \tabularnewline
88 & 2080 & 2085.27 & 2600 & -514.731 & -5.2691 \tabularnewline
89 & 2260 & 1989.12 & 2630.83 & -641.71 & 270.877 \tabularnewline
90 & 2520 & 2402.25 & 2653.33 & -251.085 & 117.752 \tabularnewline
91 & 2680 & 2922.25 & 2675.83 & 246.415 & -242.248 \tabularnewline
92 & 3420 & 2984.64 & 2700.83 & 283.811 & 435.356 \tabularnewline
93 & 3040 & 3203.39 & 2702.5 & 500.894 & -163.394 \tabularnewline
94 & 3300 & 3215.37 & 2716.67 & 498.707 & 84.6267 \tabularnewline
95 & 3200 & 3152.04 & 2719.17 & 432.873 & 47.9601 \tabularnewline
96 & 2460 & 2897.56 & 2695 & 202.561 & -437.561 \tabularnewline
97 & 3020 & 2719.12 & 2653.33 & 65.7899 & 300.877 \tabularnewline
98 & 2280 & 2198.39 & 2601.67 & -403.273 & 81.6059 \tabularnewline
99 & 2220 & 2184.75 & 2605 & -420.252 & 35.2517 \tabularnewline
100 & 2320 & 2140.27 & 2655 & -514.731 & 179.731 \tabularnewline
101 & 2080 & 2079.96 & 2721.67 & -641.71 & 0.0434028 \tabularnewline
102 & 2120 & 2527.25 & 2778.33 & -251.085 & -407.248 \tabularnewline
103 & 2080 & NA & NA & 246.415 & NA \tabularnewline
104 & 2780 & NA & NA & 283.811 & NA \tabularnewline
105 & 3760 & NA & NA & 500.894 & NA \tabularnewline
106 & 3780 & NA & NA & 498.707 & NA \tabularnewline
107 & 4320 & NA & NA & 432.873 & NA \tabularnewline
108 & 2700 & NA & NA & 202.561 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=297943&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]3400[/C][C]NA[/C][C]NA[/C][C]65.7899[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]2360[/C][C]NA[/C][C]NA[/C][C]-403.273[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]2540[/C][C]NA[/C][C]NA[/C][C]-420.252[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]2540[/C][C]NA[/C][C]NA[/C][C]-514.731[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]2180[/C][C]NA[/C][C]NA[/C][C]-641.71[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]2440[/C][C]NA[/C][C]NA[/C][C]-251.085[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]2860[/C][C]3482.25[/C][C]3235.83[/C][C]246.415[/C][C]-622.248[/C][/ROW]
[ROW][C]8[/C][C]4100[/C][C]3555.48[/C][C]3271.67[/C][C]283.811[/C][C]544.523[/C][/ROW]
[ROW][C]9[/C][C]3500[/C][C]3795.06[/C][C]3294.17[/C][C]500.894[/C][C]-295.061[/C][/ROW]
[ROW][C]10[/C][C]3660[/C][C]3792.04[/C][C]3293.33[/C][C]498.707[/C][C]-132.04[/C][/ROW]
[ROW][C]11[/C][C]4060[/C][C]3727.04[/C][C]3294.17[/C][C]432.873[/C][C]332.96[/C][/ROW]
[ROW][C]12[/C][C]5000[/C][C]3525.89[/C][C]3323.33[/C][C]202.561[/C][C]1474.11[/C][/ROW]
[ROW][C]13[/C][C]3780[/C][C]3424.12[/C][C]3358.33[/C][C]65.7899[/C][C]355.877[/C][/ROW]
[ROW][C]14[/C][C]2840[/C][C]2944.23[/C][C]3347.5[/C][C]-403.273[/C][C]-104.227[/C][/ROW]
[ROW][C]15[/C][C]2600[/C][C]2941.41[/C][C]3361.67[/C][C]-420.252[/C][C]-341.415[/C][/ROW]
[ROW][C]16[/C][C]2460[/C][C]2897.77[/C][C]3412.5[/C][C]-514.731[/C][C]-437.769[/C][/ROW]
[ROW][C]17[/C][C]2280[/C][C]2770.79[/C][C]3412.5[/C][C]-641.71[/C][C]-490.79[/C][/ROW]
[ROW][C]18[/C][C]3040[/C][C]3082.25[/C][C]3333.33[/C][C]-251.085[/C][C]-42.2483[/C][/ROW]
[ROW][C]19[/C][C]3100[/C][C]3473.08[/C][C]3226.67[/C][C]246.415[/C][C]-373.082[/C][/ROW]
[ROW][C]20[/C][C]3600[/C][C]3466.31[/C][C]3182.5[/C][C]283.811[/C][C]133.689[/C][/ROW]
[ROW][C]21[/C][C]4340[/C][C]3683.39[/C][C]3182.5[/C][C]500.894[/C][C]656.606[/C][/ROW]
[ROW][C]22[/C][C]4040[/C][C]3682.87[/C][C]3184.17[/C][C]498.707[/C][C]357.127[/C][/ROW]
[ROW][C]23[/C][C]3680[/C][C]3607.87[/C][C]3175[/C][C]432.873[/C][C]72.1267[/C][/ROW]
[ROW][C]24[/C][C]3480[/C][C]3354.23[/C][C]3151.67[/C][C]202.561[/C][C]125.773[/C][/ROW]
[ROW][C]25[/C][C]2740[/C][C]3169.12[/C][C]3103.33[/C][C]65.7899[/C][C]-429.123[/C][/ROW]
[ROW][C]26[/C][C]2820[/C][C]2623.39[/C][C]3026.67[/C][C]-403.273[/C][C]196.606[/C][/ROW]
[ROW][C]27[/C][C]2620[/C][C]2531.41[/C][C]2951.67[/C][C]-420.252[/C][C]88.5851[/C][/ROW]
[ROW][C]28[/C][C]2480[/C][C]2390.27[/C][C]2905[/C][C]-514.731[/C][C]89.7309[/C][/ROW]
[ROW][C]29[/C][C]2040[/C][C]2239.96[/C][C]2881.67[/C][C]-641.71[/C][C]-199.957[/C][/ROW]
[ROW][C]30[/C][C]2720[/C][C]2607.25[/C][C]2858.33[/C][C]-251.085[/C][C]112.752[/C][/ROW]
[ROW][C]31[/C][C]2260[/C][C]3108.91[/C][C]2862.5[/C][C]246.415[/C][C]-848.915[/C][/ROW]
[ROW][C]32[/C][C]2600[/C][C]3146.31[/C][C]2862.5[/C][C]283.811[/C][C]-546.311[/C][/ROW]
[ROW][C]33[/C][C]3540[/C][C]3351.73[/C][C]2850.83[/C][C]500.894[/C][C]188.273[/C][/ROW]
[ROW][C]34[/C][C]3720[/C][C]3351.21[/C][C]2852.5[/C][C]498.707[/C][C]368.793[/C][/ROW]
[ROW][C]35[/C][C]3440[/C][C]3310.37[/C][C]2877.5[/C][C]432.873[/C][C]129.627[/C][/ROW]
[ROW][C]36[/C][C]3160[/C][C]3098.39[/C][C]2895.83[/C][C]202.561[/C][C]61.6059[/C][/ROW]
[ROW][C]37[/C][C]3160[/C][C]3063.29[/C][C]2997.5[/C][C]65.7899[/C][C]96.7101[/C][/ROW]
[ROW][C]38[/C][C]2400[/C][C]2742.56[/C][C]3145.83[/C][C]-403.273[/C][C]-342.561[/C][/ROW]
[ROW][C]39[/C][C]2760[/C][C]2734.75[/C][C]3155[/C][C]-420.252[/C][C]25.2517[/C][/ROW]
[ROW][C]40[/C][C]2380[/C][C]2574.44[/C][C]3089.17[/C][C]-514.731[/C][C]-194.436[/C][/ROW]
[ROW][C]41[/C][C]2740[/C][C]2411.62[/C][C]3053.33[/C][C]-641.71[/C][C]328.377[/C][/ROW]
[ROW][C]42[/C][C]2460[/C][C]2788.91[/C][C]3040[/C][C]-251.085[/C][C]-328.915[/C][/ROW]
[ROW][C]43[/C][C]4960[/C][C]3248.91[/C][C]3002.5[/C][C]246.415[/C][C]1711.09[/C][/ROW]
[ROW][C]44[/C][C]3460[/C][C]3258.81[/C][C]2975[/C][C]283.811[/C][C]201.189[/C][/ROW]
[ROW][C]45[/C][C]2900[/C][C]3466.73[/C][C]2965.83[/C][C]500.894[/C][C]-566.727[/C][/ROW]
[ROW][C]46[/C][C]2780[/C][C]3457.04[/C][C]2958.33[/C][C]498.707[/C][C]-677.04[/C][/ROW]
[ROW][C]47[/C][C]3520[/C][C]3362.87[/C][C]2930[/C][C]432.873[/C][C]157.127[/C][/ROW]
[ROW][C]48[/C][C]2760[/C][C]3138.39[/C][C]2935.83[/C][C]202.561[/C][C]-378.394[/C][/ROW]
[ROW][C]49[/C][C]2660[/C][C]2966.62[/C][C]2900.83[/C][C]65.7899[/C][C]-306.623[/C][/ROW]
[ROW][C]50[/C][C]2240[/C][C]2380.89[/C][C]2784.17[/C][C]-403.273[/C][C]-140.894[/C][/ROW]
[ROW][C]51[/C][C]2700[/C][C]2310.58[/C][C]2730.83[/C][C]-420.252[/C][C]389.418[/C][/ROW]
[ROW][C]52[/C][C]2260[/C][C]2206.94[/C][C]2721.67[/C][C]-514.731[/C][C]53.0642[/C][/ROW]
[ROW][C]53[/C][C]2180[/C][C]2019.12[/C][C]2660.83[/C][C]-641.71[/C][C]160.877[/C][/ROW]
[ROW][C]54[/C][C]3160[/C][C]2345.58[/C][C]2596.67[/C][C]-251.085[/C][C]814.418[/C][/ROW]
[ROW][C]55[/C][C]3420[/C][C]2828.91[/C][C]2582.5[/C][C]246.415[/C][C]591.085[/C][/ROW]
[ROW][C]56[/C][C]2200[/C][C]2852.14[/C][C]2568.33[/C][C]283.811[/C][C]-652.144[/C][/ROW]
[ROW][C]57[/C][C]2880[/C][C]3041.73[/C][C]2540.83[/C][C]500.894[/C][C]-161.727[/C][/ROW]
[ROW][C]58[/C][C]2580[/C][C]3026.21[/C][C]2527.5[/C][C]498.707[/C][C]-446.207[/C][/ROW]
[ROW][C]59[/C][C]2260[/C][C]2953.71[/C][C]2520.83[/C][C]432.873[/C][C]-693.707[/C][/ROW]
[ROW][C]60[/C][C]2480[/C][C]2670.89[/C][C]2468.33[/C][C]202.561[/C][C]-190.894[/C][/ROW]
[ROW][C]61[/C][C]2600[/C][C]2465.79[/C][C]2400[/C][C]65.7899[/C][C]134.21[/C][/ROW]
[ROW][C]62[/C][C]1960[/C][C]2007.56[/C][C]2410.83[/C][C]-403.273[/C][C]-47.5608[/C][/ROW]
[ROW][C]63[/C][C]2320[/C][C]2043.08[/C][C]2463.33[/C][C]-420.252[/C][C]276.918[/C][/ROW]
[ROW][C]64[/C][C]2320[/C][C]2010.27[/C][C]2525[/C][C]-514.731[/C][C]309.731[/C][/ROW]
[ROW][C]65[/C][C]1960[/C][C]1989.12[/C][C]2630.83[/C][C]-641.71[/C][C]-29.1233[/C][/ROW]
[ROW][C]66[/C][C]2120[/C][C]2447.25[/C][C]2698.33[/C][C]-251.085[/C][C]-327.248[/C][/ROW]
[ROW][C]67[/C][C]2820[/C][C]2972.25[/C][C]2725.83[/C][C]246.415[/C][C]-152.248[/C][/ROW]
[ROW][C]68[/C][C]3060[/C][C]3061.31[/C][C]2777.5[/C][C]283.811[/C][C]-1.31076[/C][/ROW]
[ROW][C]69[/C][C]3280[/C][C]3298.39[/C][C]2797.5[/C][C]500.894[/C][C]-18.3941[/C][/ROW]
[ROW][C]70[/C][C]3660[/C][C]3287.04[/C][C]2788.33[/C][C]498.707[/C][C]372.96[/C][/ROW]
[ROW][C]71[/C][C]3720[/C][C]3229.54[/C][C]2796.67[/C][C]432.873[/C][C]490.46[/C][/ROW]
[ROW][C]72[/C][C]2640[/C][C]3024.23[/C][C]2821.67[/C][C]202.561[/C][C]-384.227[/C][/ROW]
[ROW][C]73[/C][C]3100[/C][C]2909.12[/C][C]2843.33[/C][C]65.7899[/C][C]190.877[/C][/ROW]
[ROW][C]74[/C][C]2700[/C][C]2434.23[/C][C]2837.5[/C][C]-403.273[/C][C]265.773[/C][/ROW]
[ROW][C]75[/C][C]2060[/C][C]2418.08[/C][C]2838.33[/C][C]-420.252[/C][C]-358.082[/C][/ROW]
[ROW][C]76[/C][C]2360[/C][C]2315.27[/C][C]2830[/C][C]-514.731[/C][C]44.7309[/C][/ROW]
[ROW][C]77[/C][C]2120[/C][C]2120.79[/C][C]2762.5[/C][C]-641.71[/C][C]-0.789931[/C][/ROW]
[ROW][C]78[/C][C]2560[/C][C]2459.75[/C][C]2710.83[/C][C]-251.085[/C][C]100.252[/C][/ROW]
[ROW][C]79[/C][C]2900[/C][C]2923.91[/C][C]2677.5[/C][C]246.415[/C][C]-23.9149[/C][/ROW]
[ROW][C]80[/C][C]2840[/C][C]2915.48[/C][C]2631.67[/C][C]283.811[/C][C]-75.4774[/C][/ROW]
[ROW][C]81[/C][C]3520[/C][C]3120.06[/C][C]2619.17[/C][C]500.894[/C][C]399.939[/C][/ROW]
[ROW][C]82[/C][C]3220[/C][C]3108.71[/C][C]2610[/C][C]498.707[/C][C]111.293[/C][/ROW]
[ROW][C]83[/C][C]2540[/C][C]3037.04[/C][C]2604.17[/C][C]432.873[/C][C]-497.04[/C][/ROW]
[ROW][C]84[/C][C]2580[/C][C]2810.89[/C][C]2608.33[/C][C]202.561[/C][C]-230.894[/C][/ROW]
[ROW][C]85[/C][C]2360[/C][C]2663.29[/C][C]2597.5[/C][C]65.7899[/C][C]-303.29[/C][/ROW]
[ROW][C]86[/C][C]2340[/C][C]2209.23[/C][C]2612.5[/C][C]-403.273[/C][C]130.773[/C][/ROW]
[ROW][C]87[/C][C]2120[/C][C]2196.41[/C][C]2616.67[/C][C]-420.252[/C][C]-76.4149[/C][/ROW]
[ROW][C]88[/C][C]2080[/C][C]2085.27[/C][C]2600[/C][C]-514.731[/C][C]-5.2691[/C][/ROW]
[ROW][C]89[/C][C]2260[/C][C]1989.12[/C][C]2630.83[/C][C]-641.71[/C][C]270.877[/C][/ROW]
[ROW][C]90[/C][C]2520[/C][C]2402.25[/C][C]2653.33[/C][C]-251.085[/C][C]117.752[/C][/ROW]
[ROW][C]91[/C][C]2680[/C][C]2922.25[/C][C]2675.83[/C][C]246.415[/C][C]-242.248[/C][/ROW]
[ROW][C]92[/C][C]3420[/C][C]2984.64[/C][C]2700.83[/C][C]283.811[/C][C]435.356[/C][/ROW]
[ROW][C]93[/C][C]3040[/C][C]3203.39[/C][C]2702.5[/C][C]500.894[/C][C]-163.394[/C][/ROW]
[ROW][C]94[/C][C]3300[/C][C]3215.37[/C][C]2716.67[/C][C]498.707[/C][C]84.6267[/C][/ROW]
[ROW][C]95[/C][C]3200[/C][C]3152.04[/C][C]2719.17[/C][C]432.873[/C][C]47.9601[/C][/ROW]
[ROW][C]96[/C][C]2460[/C][C]2897.56[/C][C]2695[/C][C]202.561[/C][C]-437.561[/C][/ROW]
[ROW][C]97[/C][C]3020[/C][C]2719.12[/C][C]2653.33[/C][C]65.7899[/C][C]300.877[/C][/ROW]
[ROW][C]98[/C][C]2280[/C][C]2198.39[/C][C]2601.67[/C][C]-403.273[/C][C]81.6059[/C][/ROW]
[ROW][C]99[/C][C]2220[/C][C]2184.75[/C][C]2605[/C][C]-420.252[/C][C]35.2517[/C][/ROW]
[ROW][C]100[/C][C]2320[/C][C]2140.27[/C][C]2655[/C][C]-514.731[/C][C]179.731[/C][/ROW]
[ROW][C]101[/C][C]2080[/C][C]2079.96[/C][C]2721.67[/C][C]-641.71[/C][C]0.0434028[/C][/ROW]
[ROW][C]102[/C][C]2120[/C][C]2527.25[/C][C]2778.33[/C][C]-251.085[/C][C]-407.248[/C][/ROW]
[ROW][C]103[/C][C]2080[/C][C]NA[/C][C]NA[/C][C]246.415[/C][C]NA[/C][/ROW]
[ROW][C]104[/C][C]2780[/C][C]NA[/C][C]NA[/C][C]283.811[/C][C]NA[/C][/ROW]
[ROW][C]105[/C][C]3760[/C][C]NA[/C][C]NA[/C][C]500.894[/C][C]NA[/C][/ROW]
[ROW][C]106[/C][C]3780[/C][C]NA[/C][C]NA[/C][C]498.707[/C][C]NA[/C][/ROW]
[ROW][C]107[/C][C]4320[/C][C]NA[/C][C]NA[/C][C]432.873[/C][C]NA[/C][/ROW]
[ROW][C]108[/C][C]2700[/C][C]NA[/C][C]NA[/C][C]202.561[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=297943&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=297943&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
13400NANA65.7899NA
22360NANA-403.273NA
32540NANA-420.252NA
42540NANA-514.731NA
52180NANA-641.71NA
62440NANA-251.085NA
728603482.253235.83246.415-622.248
841003555.483271.67283.811544.523
935003795.063294.17500.894-295.061
1036603792.043293.33498.707-132.04
1140603727.043294.17432.873332.96
1250003525.893323.33202.5611474.11
1337803424.123358.3365.7899355.877
1428402944.233347.5-403.273-104.227
1526002941.413361.67-420.252-341.415
1624602897.773412.5-514.731-437.769
1722802770.793412.5-641.71-490.79
1830403082.253333.33-251.085-42.2483
1931003473.083226.67246.415-373.082
2036003466.313182.5283.811133.689
2143403683.393182.5500.894656.606
2240403682.873184.17498.707357.127
2336803607.873175432.87372.1267
2434803354.233151.67202.561125.773
2527403169.123103.3365.7899-429.123
2628202623.393026.67-403.273196.606
2726202531.412951.67-420.25288.5851
2824802390.272905-514.73189.7309
2920402239.962881.67-641.71-199.957
3027202607.252858.33-251.085112.752
3122603108.912862.5246.415-848.915
3226003146.312862.5283.811-546.311
3335403351.732850.83500.894188.273
3437203351.212852.5498.707368.793
3534403310.372877.5432.873129.627
3631603098.392895.83202.56161.6059
3731603063.292997.565.789996.7101
3824002742.563145.83-403.273-342.561
3927602734.753155-420.25225.2517
4023802574.443089.17-514.731-194.436
4127402411.623053.33-641.71328.377
4224602788.913040-251.085-328.915
4349603248.913002.5246.4151711.09
4434603258.812975283.811201.189
4529003466.732965.83500.894-566.727
4627803457.042958.33498.707-677.04
4735203362.872930432.873157.127
4827603138.392935.83202.561-378.394
4926602966.622900.8365.7899-306.623
5022402380.892784.17-403.273-140.894
5127002310.582730.83-420.252389.418
5222602206.942721.67-514.73153.0642
5321802019.122660.83-641.71160.877
5431602345.582596.67-251.085814.418
5534202828.912582.5246.415591.085
5622002852.142568.33283.811-652.144
5728803041.732540.83500.894-161.727
5825803026.212527.5498.707-446.207
5922602953.712520.83432.873-693.707
6024802670.892468.33202.561-190.894
6126002465.79240065.7899134.21
6219602007.562410.83-403.273-47.5608
6323202043.082463.33-420.252276.918
6423202010.272525-514.731309.731
6519601989.122630.83-641.71-29.1233
6621202447.252698.33-251.085-327.248
6728202972.252725.83246.415-152.248
6830603061.312777.5283.811-1.31076
6932803298.392797.5500.894-18.3941
7036603287.042788.33498.707372.96
7137203229.542796.67432.873490.46
7226403024.232821.67202.561-384.227
7331002909.122843.3365.7899190.877
7427002434.232837.5-403.273265.773
7520602418.082838.33-420.252-358.082
7623602315.272830-514.73144.7309
7721202120.792762.5-641.71-0.789931
7825602459.752710.83-251.085100.252
7929002923.912677.5246.415-23.9149
8028402915.482631.67283.811-75.4774
8135203120.062619.17500.894399.939
8232203108.712610498.707111.293
8325403037.042604.17432.873-497.04
8425802810.892608.33202.561-230.894
8523602663.292597.565.7899-303.29
8623402209.232612.5-403.273130.773
8721202196.412616.67-420.252-76.4149
8820802085.272600-514.731-5.2691
8922601989.122630.83-641.71270.877
9025202402.252653.33-251.085117.752
9126802922.252675.83246.415-242.248
9234202984.642700.83283.811435.356
9330403203.392702.5500.894-163.394
9433003215.372716.67498.70784.6267
9532003152.042719.17432.87347.9601
9624602897.562695202.561-437.561
9730202719.122653.3365.7899300.877
9822802198.392601.67-403.27381.6059
9922202184.752605-420.25235.2517
10023202140.272655-514.731179.731
10120802079.962721.67-641.710.0434028
10221202527.252778.33-251.085-407.248
1032080NANA246.415NA
1042780NANA283.811NA
1053760NANA500.894NA
1063780NANA498.707NA
1074320NANA432.873NA
1082700NANA202.561NA



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')