Free Statistics

of Irreproducible Research!

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationWed, 14 Dec 2016 13:28:35 +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/t14817185489a7abvzgjbzh21r.htm/, Retrieved Fri, 03 May 2024 21:29:08 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=299357, Retrieved Fri, 03 May 2024 21:29:08 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact66
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [F1-competitie (ko...] [2016-12-14 12:28:35] [55eb8f21ed24cda91766c505eb72bb6f] [Current]
Feedback Forum

Post a new message
Dataseries X:
2846
2424
2486
2512
2450
2574
2948
2602
2786
2930
2842
3124
3064
2978
2900
3062
2896
2746
3332
3062
2796
2928
2550
2846
3352
3272
3048
3074
3100
3140
3096
3004
2914
2886
2862
3378
2624
3282
3250
3246
3194
3386
3280
3218
2954
2700
3184
3612
2702
3332
3240
3134
3426
3474
3486
3428
3814
3134
3718
4022
3340
3646
3882
3808
4208
3782
3806
3834
4344
3896
4234
4324
3956
4070
4312
4680
4200
4042
3836
4146
4324
4778
4522
4486
4672
4786
4572
6014
5056
4252
4942
5410
4930
5658
5896
4076
5126
5060
5140
5182
5682
5114
5136
5300
5396
5558
6348
4800
5204
5280
5372
4972
4524
6478
5988
3926




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=299357&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=299357&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=299357&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
12846NANA-153.031NA
22424NANA11.876NA
32486NANA-11.4632NA
42512NANA193.256NA
52450NANA106.558NA
62574NANA-148.682NA
729482702.892719.42-16.5222245.106
826022726.72751.58-24.8833-124.7
927862768.672791.92-23.244417.3277
1029302807.422832.08-24.6611122.578
1128423015.492873.58141.904-173.487
1231242848.232899.33-51.1055275.772
1330642769.472922.5-153.031294.531
1429782969.542957.6711.8768.45737
1529002965.792977.25-11.4632-65.7868
1630623170.842977.58193.256-108.839
1728963071.892965.33106.558-175.891
1827462792.92941.58-148.682-46.9014
1933322925.482942-16.5222406.522
2030622941.372966.25-24.8833120.633
2127962961.422984.67-23.2444-165.422
2229282966.672991.33-24.6611-38.6723
2325503142.243000.33141.904-592.237
2428462974.143025.25-51.1055-128.144
2533522878.83031.83-153.031473.198
2632723031.463019.5811.876240.541
2730483010.623022.08-11.463237.3798
2830743218.513025.25193.256-144.506
2931003143.063036.5106.558-43.0577
3031402922.983071.67-148.682217.015
3130963046.983063.5-16.522249.0222
3230043008.73033.58-24.8833-4.70004
3329143019.173042.42-23.2444-105.172
3428863033.343058-24.6611-147.339
3528623210.993069.08141.904-348.987
3633783032.143083.25-51.1055345.856
3726242948.143101.17-153.031-324.135
3832823129.633117.7511.876152.374
3932503116.873128.33-11.4632133.13
4032463315.513122.25193.256-69.5056
4131943234.473127.92106.558-40.4743
4233863002.43151.08-148.682383.599
4332803147.563164.08-16.5222132.439
4432183144.533169.42-24.883373.4666
4529543147.843171.08-23.2444-193.839
4627003141.343166-24.6611-441.339
4731843312.93171141.904-128.904
4836123133.233184.33-51.1055478.772
4927023043.553196.58-153.031-341.552
5033323225.793213.9211.876106.207
5132403247.043258.5-11.4632-7.03684
5231343505.673312.42193.256-371.672
5334263459.313352.75106.558-33.3077
5434743243.43392.08-148.682230.599
5534863419.233435.75-16.522266.7722
5634283450.533475.42-24.8833-22.5334
5738143492.013515.25-23.2444321.994
5831343545.423570.08-24.6611-411.422
5937183772.653630.75141.904-54.6537
6040223625.063676.17-51.1055396.939
6133403549.33702.33-153.031-209.302
6236463744.463732.5811.876-98.4593
6338823760.123771.58-11.4632121.88
6438084018.673825.42193.256-210.672
6542083985.223878.67106.558222.776
6637823764.073912.75-148.68217.9319
6738063934.483951-16.5222-128.478
6838343969.453994.33-24.8833-135.45
6943444006.674029.92-23.2444337.328
7038964059.514084.17-24.6611-163.506
7142344262.074120.17141.904-28.0704
7243244079.564130.67-51.1055244.439
7339563989.724142.75-153.031-33.7186
7440704168.88415711.876-98.876
7543124157.74169.17-11.4632154.296
7646804398.344205.08193.256281.661
7742004360.394253.83106.558-160.391
7840424123.94272.58-148.682-81.9014
7938364292.644309.17-16.5222-456.644
8041464343.954368.83-24.8833-197.95
8143244386.264409.5-23.2444-62.2556
8247784451.264475.92-24.6611326.744
8345224709.074567.17141.904-187.07
8444864560.484611.58-51.1055-74.4778
8546724513.394666.42-153.031158.615
8647864777.044765.1711.8768.95737
8745724831.624843.08-11.4632-259.62
8860145098.264905193.256915.744
8950565105.474998.92106.558-49.4743
9042524890.45039.08-148.682-638.401
9149425024.395040.92-16.5222-82.3945
9254105046.375071.25-24.8833363.633
9349305083.095106.33-23.2444-153.089
9456585070.675095.33-24.6611587.328
9558965228.655086.75141.904667.346
9640765097.645148.75-51.1055-1021.64
9751265039.725192.75-153.03186.2814
9850605208.135196.2511.876-148.126
9951405199.625211.08-11.4632-59.6202
10051825419.595226.33193.256-237.589
10156825347.565241106.558334.442
10251145141.325290-148.682-27.3181
10351365306.895323.42-16.5222-170.894
10453005310.955335.83-24.8833-10.95
10553965331.425354.67-23.244464.5777
10655585330.925355.58-24.6611227.078
10763485440.495298.58141.904907.513
10848005256.065307.17-51.1055-456.061
10952045246.475399.5-153.031-42.4686
11052805389.635377.7511.876-109.626
1115372NANA-11.4632NA
1124972NANA193.256NA
1134524NANA106.558NA
1146478NANA-148.682NA
1155988NANA-16.5222NA
1163926NANA-24.8833NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 2846 & NA & NA & -153.031 & NA \tabularnewline
2 & 2424 & NA & NA & 11.876 & NA \tabularnewline
3 & 2486 & NA & NA & -11.4632 & NA \tabularnewline
4 & 2512 & NA & NA & 193.256 & NA \tabularnewline
5 & 2450 & NA & NA & 106.558 & NA \tabularnewline
6 & 2574 & NA & NA & -148.682 & NA \tabularnewline
7 & 2948 & 2702.89 & 2719.42 & -16.5222 & 245.106 \tabularnewline
8 & 2602 & 2726.7 & 2751.58 & -24.8833 & -124.7 \tabularnewline
9 & 2786 & 2768.67 & 2791.92 & -23.2444 & 17.3277 \tabularnewline
10 & 2930 & 2807.42 & 2832.08 & -24.6611 & 122.578 \tabularnewline
11 & 2842 & 3015.49 & 2873.58 & 141.904 & -173.487 \tabularnewline
12 & 3124 & 2848.23 & 2899.33 & -51.1055 & 275.772 \tabularnewline
13 & 3064 & 2769.47 & 2922.5 & -153.031 & 294.531 \tabularnewline
14 & 2978 & 2969.54 & 2957.67 & 11.876 & 8.45737 \tabularnewline
15 & 2900 & 2965.79 & 2977.25 & -11.4632 & -65.7868 \tabularnewline
16 & 3062 & 3170.84 & 2977.58 & 193.256 & -108.839 \tabularnewline
17 & 2896 & 3071.89 & 2965.33 & 106.558 & -175.891 \tabularnewline
18 & 2746 & 2792.9 & 2941.58 & -148.682 & -46.9014 \tabularnewline
19 & 3332 & 2925.48 & 2942 & -16.5222 & 406.522 \tabularnewline
20 & 3062 & 2941.37 & 2966.25 & -24.8833 & 120.633 \tabularnewline
21 & 2796 & 2961.42 & 2984.67 & -23.2444 & -165.422 \tabularnewline
22 & 2928 & 2966.67 & 2991.33 & -24.6611 & -38.6723 \tabularnewline
23 & 2550 & 3142.24 & 3000.33 & 141.904 & -592.237 \tabularnewline
24 & 2846 & 2974.14 & 3025.25 & -51.1055 & -128.144 \tabularnewline
25 & 3352 & 2878.8 & 3031.83 & -153.031 & 473.198 \tabularnewline
26 & 3272 & 3031.46 & 3019.58 & 11.876 & 240.541 \tabularnewline
27 & 3048 & 3010.62 & 3022.08 & -11.4632 & 37.3798 \tabularnewline
28 & 3074 & 3218.51 & 3025.25 & 193.256 & -144.506 \tabularnewline
29 & 3100 & 3143.06 & 3036.5 & 106.558 & -43.0577 \tabularnewline
30 & 3140 & 2922.98 & 3071.67 & -148.682 & 217.015 \tabularnewline
31 & 3096 & 3046.98 & 3063.5 & -16.5222 & 49.0222 \tabularnewline
32 & 3004 & 3008.7 & 3033.58 & -24.8833 & -4.70004 \tabularnewline
33 & 2914 & 3019.17 & 3042.42 & -23.2444 & -105.172 \tabularnewline
34 & 2886 & 3033.34 & 3058 & -24.6611 & -147.339 \tabularnewline
35 & 2862 & 3210.99 & 3069.08 & 141.904 & -348.987 \tabularnewline
36 & 3378 & 3032.14 & 3083.25 & -51.1055 & 345.856 \tabularnewline
37 & 2624 & 2948.14 & 3101.17 & -153.031 & -324.135 \tabularnewline
38 & 3282 & 3129.63 & 3117.75 & 11.876 & 152.374 \tabularnewline
39 & 3250 & 3116.87 & 3128.33 & -11.4632 & 133.13 \tabularnewline
40 & 3246 & 3315.51 & 3122.25 & 193.256 & -69.5056 \tabularnewline
41 & 3194 & 3234.47 & 3127.92 & 106.558 & -40.4743 \tabularnewline
42 & 3386 & 3002.4 & 3151.08 & -148.682 & 383.599 \tabularnewline
43 & 3280 & 3147.56 & 3164.08 & -16.5222 & 132.439 \tabularnewline
44 & 3218 & 3144.53 & 3169.42 & -24.8833 & 73.4666 \tabularnewline
45 & 2954 & 3147.84 & 3171.08 & -23.2444 & -193.839 \tabularnewline
46 & 2700 & 3141.34 & 3166 & -24.6611 & -441.339 \tabularnewline
47 & 3184 & 3312.9 & 3171 & 141.904 & -128.904 \tabularnewline
48 & 3612 & 3133.23 & 3184.33 & -51.1055 & 478.772 \tabularnewline
49 & 2702 & 3043.55 & 3196.58 & -153.031 & -341.552 \tabularnewline
50 & 3332 & 3225.79 & 3213.92 & 11.876 & 106.207 \tabularnewline
51 & 3240 & 3247.04 & 3258.5 & -11.4632 & -7.03684 \tabularnewline
52 & 3134 & 3505.67 & 3312.42 & 193.256 & -371.672 \tabularnewline
53 & 3426 & 3459.31 & 3352.75 & 106.558 & -33.3077 \tabularnewline
54 & 3474 & 3243.4 & 3392.08 & -148.682 & 230.599 \tabularnewline
55 & 3486 & 3419.23 & 3435.75 & -16.5222 & 66.7722 \tabularnewline
56 & 3428 & 3450.53 & 3475.42 & -24.8833 & -22.5334 \tabularnewline
57 & 3814 & 3492.01 & 3515.25 & -23.2444 & 321.994 \tabularnewline
58 & 3134 & 3545.42 & 3570.08 & -24.6611 & -411.422 \tabularnewline
59 & 3718 & 3772.65 & 3630.75 & 141.904 & -54.6537 \tabularnewline
60 & 4022 & 3625.06 & 3676.17 & -51.1055 & 396.939 \tabularnewline
61 & 3340 & 3549.3 & 3702.33 & -153.031 & -209.302 \tabularnewline
62 & 3646 & 3744.46 & 3732.58 & 11.876 & -98.4593 \tabularnewline
63 & 3882 & 3760.12 & 3771.58 & -11.4632 & 121.88 \tabularnewline
64 & 3808 & 4018.67 & 3825.42 & 193.256 & -210.672 \tabularnewline
65 & 4208 & 3985.22 & 3878.67 & 106.558 & 222.776 \tabularnewline
66 & 3782 & 3764.07 & 3912.75 & -148.682 & 17.9319 \tabularnewline
67 & 3806 & 3934.48 & 3951 & -16.5222 & -128.478 \tabularnewline
68 & 3834 & 3969.45 & 3994.33 & -24.8833 & -135.45 \tabularnewline
69 & 4344 & 4006.67 & 4029.92 & -23.2444 & 337.328 \tabularnewline
70 & 3896 & 4059.51 & 4084.17 & -24.6611 & -163.506 \tabularnewline
71 & 4234 & 4262.07 & 4120.17 & 141.904 & -28.0704 \tabularnewline
72 & 4324 & 4079.56 & 4130.67 & -51.1055 & 244.439 \tabularnewline
73 & 3956 & 3989.72 & 4142.75 & -153.031 & -33.7186 \tabularnewline
74 & 4070 & 4168.88 & 4157 & 11.876 & -98.876 \tabularnewline
75 & 4312 & 4157.7 & 4169.17 & -11.4632 & 154.296 \tabularnewline
76 & 4680 & 4398.34 & 4205.08 & 193.256 & 281.661 \tabularnewline
77 & 4200 & 4360.39 & 4253.83 & 106.558 & -160.391 \tabularnewline
78 & 4042 & 4123.9 & 4272.58 & -148.682 & -81.9014 \tabularnewline
79 & 3836 & 4292.64 & 4309.17 & -16.5222 & -456.644 \tabularnewline
80 & 4146 & 4343.95 & 4368.83 & -24.8833 & -197.95 \tabularnewline
81 & 4324 & 4386.26 & 4409.5 & -23.2444 & -62.2556 \tabularnewline
82 & 4778 & 4451.26 & 4475.92 & -24.6611 & 326.744 \tabularnewline
83 & 4522 & 4709.07 & 4567.17 & 141.904 & -187.07 \tabularnewline
84 & 4486 & 4560.48 & 4611.58 & -51.1055 & -74.4778 \tabularnewline
85 & 4672 & 4513.39 & 4666.42 & -153.031 & 158.615 \tabularnewline
86 & 4786 & 4777.04 & 4765.17 & 11.876 & 8.95737 \tabularnewline
87 & 4572 & 4831.62 & 4843.08 & -11.4632 & -259.62 \tabularnewline
88 & 6014 & 5098.26 & 4905 & 193.256 & 915.744 \tabularnewline
89 & 5056 & 5105.47 & 4998.92 & 106.558 & -49.4743 \tabularnewline
90 & 4252 & 4890.4 & 5039.08 & -148.682 & -638.401 \tabularnewline
91 & 4942 & 5024.39 & 5040.92 & -16.5222 & -82.3945 \tabularnewline
92 & 5410 & 5046.37 & 5071.25 & -24.8833 & 363.633 \tabularnewline
93 & 4930 & 5083.09 & 5106.33 & -23.2444 & -153.089 \tabularnewline
94 & 5658 & 5070.67 & 5095.33 & -24.6611 & 587.328 \tabularnewline
95 & 5896 & 5228.65 & 5086.75 & 141.904 & 667.346 \tabularnewline
96 & 4076 & 5097.64 & 5148.75 & -51.1055 & -1021.64 \tabularnewline
97 & 5126 & 5039.72 & 5192.75 & -153.031 & 86.2814 \tabularnewline
98 & 5060 & 5208.13 & 5196.25 & 11.876 & -148.126 \tabularnewline
99 & 5140 & 5199.62 & 5211.08 & -11.4632 & -59.6202 \tabularnewline
100 & 5182 & 5419.59 & 5226.33 & 193.256 & -237.589 \tabularnewline
101 & 5682 & 5347.56 & 5241 & 106.558 & 334.442 \tabularnewline
102 & 5114 & 5141.32 & 5290 & -148.682 & -27.3181 \tabularnewline
103 & 5136 & 5306.89 & 5323.42 & -16.5222 & -170.894 \tabularnewline
104 & 5300 & 5310.95 & 5335.83 & -24.8833 & -10.95 \tabularnewline
105 & 5396 & 5331.42 & 5354.67 & -23.2444 & 64.5777 \tabularnewline
106 & 5558 & 5330.92 & 5355.58 & -24.6611 & 227.078 \tabularnewline
107 & 6348 & 5440.49 & 5298.58 & 141.904 & 907.513 \tabularnewline
108 & 4800 & 5256.06 & 5307.17 & -51.1055 & -456.061 \tabularnewline
109 & 5204 & 5246.47 & 5399.5 & -153.031 & -42.4686 \tabularnewline
110 & 5280 & 5389.63 & 5377.75 & 11.876 & -109.626 \tabularnewline
111 & 5372 & NA & NA & -11.4632 & NA \tabularnewline
112 & 4972 & NA & NA & 193.256 & NA \tabularnewline
113 & 4524 & NA & NA & 106.558 & NA \tabularnewline
114 & 6478 & NA & NA & -148.682 & NA \tabularnewline
115 & 5988 & NA & NA & -16.5222 & NA \tabularnewline
116 & 3926 & NA & NA & -24.8833 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=299357&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]2846[/C][C]NA[/C][C]NA[/C][C]-153.031[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]2424[/C][C]NA[/C][C]NA[/C][C]11.876[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]2486[/C][C]NA[/C][C]NA[/C][C]-11.4632[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]2512[/C][C]NA[/C][C]NA[/C][C]193.256[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]2450[/C][C]NA[/C][C]NA[/C][C]106.558[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]2574[/C][C]NA[/C][C]NA[/C][C]-148.682[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]2948[/C][C]2702.89[/C][C]2719.42[/C][C]-16.5222[/C][C]245.106[/C][/ROW]
[ROW][C]8[/C][C]2602[/C][C]2726.7[/C][C]2751.58[/C][C]-24.8833[/C][C]-124.7[/C][/ROW]
[ROW][C]9[/C][C]2786[/C][C]2768.67[/C][C]2791.92[/C][C]-23.2444[/C][C]17.3277[/C][/ROW]
[ROW][C]10[/C][C]2930[/C][C]2807.42[/C][C]2832.08[/C][C]-24.6611[/C][C]122.578[/C][/ROW]
[ROW][C]11[/C][C]2842[/C][C]3015.49[/C][C]2873.58[/C][C]141.904[/C][C]-173.487[/C][/ROW]
[ROW][C]12[/C][C]3124[/C][C]2848.23[/C][C]2899.33[/C][C]-51.1055[/C][C]275.772[/C][/ROW]
[ROW][C]13[/C][C]3064[/C][C]2769.47[/C][C]2922.5[/C][C]-153.031[/C][C]294.531[/C][/ROW]
[ROW][C]14[/C][C]2978[/C][C]2969.54[/C][C]2957.67[/C][C]11.876[/C][C]8.45737[/C][/ROW]
[ROW][C]15[/C][C]2900[/C][C]2965.79[/C][C]2977.25[/C][C]-11.4632[/C][C]-65.7868[/C][/ROW]
[ROW][C]16[/C][C]3062[/C][C]3170.84[/C][C]2977.58[/C][C]193.256[/C][C]-108.839[/C][/ROW]
[ROW][C]17[/C][C]2896[/C][C]3071.89[/C][C]2965.33[/C][C]106.558[/C][C]-175.891[/C][/ROW]
[ROW][C]18[/C][C]2746[/C][C]2792.9[/C][C]2941.58[/C][C]-148.682[/C][C]-46.9014[/C][/ROW]
[ROW][C]19[/C][C]3332[/C][C]2925.48[/C][C]2942[/C][C]-16.5222[/C][C]406.522[/C][/ROW]
[ROW][C]20[/C][C]3062[/C][C]2941.37[/C][C]2966.25[/C][C]-24.8833[/C][C]120.633[/C][/ROW]
[ROW][C]21[/C][C]2796[/C][C]2961.42[/C][C]2984.67[/C][C]-23.2444[/C][C]-165.422[/C][/ROW]
[ROW][C]22[/C][C]2928[/C][C]2966.67[/C][C]2991.33[/C][C]-24.6611[/C][C]-38.6723[/C][/ROW]
[ROW][C]23[/C][C]2550[/C][C]3142.24[/C][C]3000.33[/C][C]141.904[/C][C]-592.237[/C][/ROW]
[ROW][C]24[/C][C]2846[/C][C]2974.14[/C][C]3025.25[/C][C]-51.1055[/C][C]-128.144[/C][/ROW]
[ROW][C]25[/C][C]3352[/C][C]2878.8[/C][C]3031.83[/C][C]-153.031[/C][C]473.198[/C][/ROW]
[ROW][C]26[/C][C]3272[/C][C]3031.46[/C][C]3019.58[/C][C]11.876[/C][C]240.541[/C][/ROW]
[ROW][C]27[/C][C]3048[/C][C]3010.62[/C][C]3022.08[/C][C]-11.4632[/C][C]37.3798[/C][/ROW]
[ROW][C]28[/C][C]3074[/C][C]3218.51[/C][C]3025.25[/C][C]193.256[/C][C]-144.506[/C][/ROW]
[ROW][C]29[/C][C]3100[/C][C]3143.06[/C][C]3036.5[/C][C]106.558[/C][C]-43.0577[/C][/ROW]
[ROW][C]30[/C][C]3140[/C][C]2922.98[/C][C]3071.67[/C][C]-148.682[/C][C]217.015[/C][/ROW]
[ROW][C]31[/C][C]3096[/C][C]3046.98[/C][C]3063.5[/C][C]-16.5222[/C][C]49.0222[/C][/ROW]
[ROW][C]32[/C][C]3004[/C][C]3008.7[/C][C]3033.58[/C][C]-24.8833[/C][C]-4.70004[/C][/ROW]
[ROW][C]33[/C][C]2914[/C][C]3019.17[/C][C]3042.42[/C][C]-23.2444[/C][C]-105.172[/C][/ROW]
[ROW][C]34[/C][C]2886[/C][C]3033.34[/C][C]3058[/C][C]-24.6611[/C][C]-147.339[/C][/ROW]
[ROW][C]35[/C][C]2862[/C][C]3210.99[/C][C]3069.08[/C][C]141.904[/C][C]-348.987[/C][/ROW]
[ROW][C]36[/C][C]3378[/C][C]3032.14[/C][C]3083.25[/C][C]-51.1055[/C][C]345.856[/C][/ROW]
[ROW][C]37[/C][C]2624[/C][C]2948.14[/C][C]3101.17[/C][C]-153.031[/C][C]-324.135[/C][/ROW]
[ROW][C]38[/C][C]3282[/C][C]3129.63[/C][C]3117.75[/C][C]11.876[/C][C]152.374[/C][/ROW]
[ROW][C]39[/C][C]3250[/C][C]3116.87[/C][C]3128.33[/C][C]-11.4632[/C][C]133.13[/C][/ROW]
[ROW][C]40[/C][C]3246[/C][C]3315.51[/C][C]3122.25[/C][C]193.256[/C][C]-69.5056[/C][/ROW]
[ROW][C]41[/C][C]3194[/C][C]3234.47[/C][C]3127.92[/C][C]106.558[/C][C]-40.4743[/C][/ROW]
[ROW][C]42[/C][C]3386[/C][C]3002.4[/C][C]3151.08[/C][C]-148.682[/C][C]383.599[/C][/ROW]
[ROW][C]43[/C][C]3280[/C][C]3147.56[/C][C]3164.08[/C][C]-16.5222[/C][C]132.439[/C][/ROW]
[ROW][C]44[/C][C]3218[/C][C]3144.53[/C][C]3169.42[/C][C]-24.8833[/C][C]73.4666[/C][/ROW]
[ROW][C]45[/C][C]2954[/C][C]3147.84[/C][C]3171.08[/C][C]-23.2444[/C][C]-193.839[/C][/ROW]
[ROW][C]46[/C][C]2700[/C][C]3141.34[/C][C]3166[/C][C]-24.6611[/C][C]-441.339[/C][/ROW]
[ROW][C]47[/C][C]3184[/C][C]3312.9[/C][C]3171[/C][C]141.904[/C][C]-128.904[/C][/ROW]
[ROW][C]48[/C][C]3612[/C][C]3133.23[/C][C]3184.33[/C][C]-51.1055[/C][C]478.772[/C][/ROW]
[ROW][C]49[/C][C]2702[/C][C]3043.55[/C][C]3196.58[/C][C]-153.031[/C][C]-341.552[/C][/ROW]
[ROW][C]50[/C][C]3332[/C][C]3225.79[/C][C]3213.92[/C][C]11.876[/C][C]106.207[/C][/ROW]
[ROW][C]51[/C][C]3240[/C][C]3247.04[/C][C]3258.5[/C][C]-11.4632[/C][C]-7.03684[/C][/ROW]
[ROW][C]52[/C][C]3134[/C][C]3505.67[/C][C]3312.42[/C][C]193.256[/C][C]-371.672[/C][/ROW]
[ROW][C]53[/C][C]3426[/C][C]3459.31[/C][C]3352.75[/C][C]106.558[/C][C]-33.3077[/C][/ROW]
[ROW][C]54[/C][C]3474[/C][C]3243.4[/C][C]3392.08[/C][C]-148.682[/C][C]230.599[/C][/ROW]
[ROW][C]55[/C][C]3486[/C][C]3419.23[/C][C]3435.75[/C][C]-16.5222[/C][C]66.7722[/C][/ROW]
[ROW][C]56[/C][C]3428[/C][C]3450.53[/C][C]3475.42[/C][C]-24.8833[/C][C]-22.5334[/C][/ROW]
[ROW][C]57[/C][C]3814[/C][C]3492.01[/C][C]3515.25[/C][C]-23.2444[/C][C]321.994[/C][/ROW]
[ROW][C]58[/C][C]3134[/C][C]3545.42[/C][C]3570.08[/C][C]-24.6611[/C][C]-411.422[/C][/ROW]
[ROW][C]59[/C][C]3718[/C][C]3772.65[/C][C]3630.75[/C][C]141.904[/C][C]-54.6537[/C][/ROW]
[ROW][C]60[/C][C]4022[/C][C]3625.06[/C][C]3676.17[/C][C]-51.1055[/C][C]396.939[/C][/ROW]
[ROW][C]61[/C][C]3340[/C][C]3549.3[/C][C]3702.33[/C][C]-153.031[/C][C]-209.302[/C][/ROW]
[ROW][C]62[/C][C]3646[/C][C]3744.46[/C][C]3732.58[/C][C]11.876[/C][C]-98.4593[/C][/ROW]
[ROW][C]63[/C][C]3882[/C][C]3760.12[/C][C]3771.58[/C][C]-11.4632[/C][C]121.88[/C][/ROW]
[ROW][C]64[/C][C]3808[/C][C]4018.67[/C][C]3825.42[/C][C]193.256[/C][C]-210.672[/C][/ROW]
[ROW][C]65[/C][C]4208[/C][C]3985.22[/C][C]3878.67[/C][C]106.558[/C][C]222.776[/C][/ROW]
[ROW][C]66[/C][C]3782[/C][C]3764.07[/C][C]3912.75[/C][C]-148.682[/C][C]17.9319[/C][/ROW]
[ROW][C]67[/C][C]3806[/C][C]3934.48[/C][C]3951[/C][C]-16.5222[/C][C]-128.478[/C][/ROW]
[ROW][C]68[/C][C]3834[/C][C]3969.45[/C][C]3994.33[/C][C]-24.8833[/C][C]-135.45[/C][/ROW]
[ROW][C]69[/C][C]4344[/C][C]4006.67[/C][C]4029.92[/C][C]-23.2444[/C][C]337.328[/C][/ROW]
[ROW][C]70[/C][C]3896[/C][C]4059.51[/C][C]4084.17[/C][C]-24.6611[/C][C]-163.506[/C][/ROW]
[ROW][C]71[/C][C]4234[/C][C]4262.07[/C][C]4120.17[/C][C]141.904[/C][C]-28.0704[/C][/ROW]
[ROW][C]72[/C][C]4324[/C][C]4079.56[/C][C]4130.67[/C][C]-51.1055[/C][C]244.439[/C][/ROW]
[ROW][C]73[/C][C]3956[/C][C]3989.72[/C][C]4142.75[/C][C]-153.031[/C][C]-33.7186[/C][/ROW]
[ROW][C]74[/C][C]4070[/C][C]4168.88[/C][C]4157[/C][C]11.876[/C][C]-98.876[/C][/ROW]
[ROW][C]75[/C][C]4312[/C][C]4157.7[/C][C]4169.17[/C][C]-11.4632[/C][C]154.296[/C][/ROW]
[ROW][C]76[/C][C]4680[/C][C]4398.34[/C][C]4205.08[/C][C]193.256[/C][C]281.661[/C][/ROW]
[ROW][C]77[/C][C]4200[/C][C]4360.39[/C][C]4253.83[/C][C]106.558[/C][C]-160.391[/C][/ROW]
[ROW][C]78[/C][C]4042[/C][C]4123.9[/C][C]4272.58[/C][C]-148.682[/C][C]-81.9014[/C][/ROW]
[ROW][C]79[/C][C]3836[/C][C]4292.64[/C][C]4309.17[/C][C]-16.5222[/C][C]-456.644[/C][/ROW]
[ROW][C]80[/C][C]4146[/C][C]4343.95[/C][C]4368.83[/C][C]-24.8833[/C][C]-197.95[/C][/ROW]
[ROW][C]81[/C][C]4324[/C][C]4386.26[/C][C]4409.5[/C][C]-23.2444[/C][C]-62.2556[/C][/ROW]
[ROW][C]82[/C][C]4778[/C][C]4451.26[/C][C]4475.92[/C][C]-24.6611[/C][C]326.744[/C][/ROW]
[ROW][C]83[/C][C]4522[/C][C]4709.07[/C][C]4567.17[/C][C]141.904[/C][C]-187.07[/C][/ROW]
[ROW][C]84[/C][C]4486[/C][C]4560.48[/C][C]4611.58[/C][C]-51.1055[/C][C]-74.4778[/C][/ROW]
[ROW][C]85[/C][C]4672[/C][C]4513.39[/C][C]4666.42[/C][C]-153.031[/C][C]158.615[/C][/ROW]
[ROW][C]86[/C][C]4786[/C][C]4777.04[/C][C]4765.17[/C][C]11.876[/C][C]8.95737[/C][/ROW]
[ROW][C]87[/C][C]4572[/C][C]4831.62[/C][C]4843.08[/C][C]-11.4632[/C][C]-259.62[/C][/ROW]
[ROW][C]88[/C][C]6014[/C][C]5098.26[/C][C]4905[/C][C]193.256[/C][C]915.744[/C][/ROW]
[ROW][C]89[/C][C]5056[/C][C]5105.47[/C][C]4998.92[/C][C]106.558[/C][C]-49.4743[/C][/ROW]
[ROW][C]90[/C][C]4252[/C][C]4890.4[/C][C]5039.08[/C][C]-148.682[/C][C]-638.401[/C][/ROW]
[ROW][C]91[/C][C]4942[/C][C]5024.39[/C][C]5040.92[/C][C]-16.5222[/C][C]-82.3945[/C][/ROW]
[ROW][C]92[/C][C]5410[/C][C]5046.37[/C][C]5071.25[/C][C]-24.8833[/C][C]363.633[/C][/ROW]
[ROW][C]93[/C][C]4930[/C][C]5083.09[/C][C]5106.33[/C][C]-23.2444[/C][C]-153.089[/C][/ROW]
[ROW][C]94[/C][C]5658[/C][C]5070.67[/C][C]5095.33[/C][C]-24.6611[/C][C]587.328[/C][/ROW]
[ROW][C]95[/C][C]5896[/C][C]5228.65[/C][C]5086.75[/C][C]141.904[/C][C]667.346[/C][/ROW]
[ROW][C]96[/C][C]4076[/C][C]5097.64[/C][C]5148.75[/C][C]-51.1055[/C][C]-1021.64[/C][/ROW]
[ROW][C]97[/C][C]5126[/C][C]5039.72[/C][C]5192.75[/C][C]-153.031[/C][C]86.2814[/C][/ROW]
[ROW][C]98[/C][C]5060[/C][C]5208.13[/C][C]5196.25[/C][C]11.876[/C][C]-148.126[/C][/ROW]
[ROW][C]99[/C][C]5140[/C][C]5199.62[/C][C]5211.08[/C][C]-11.4632[/C][C]-59.6202[/C][/ROW]
[ROW][C]100[/C][C]5182[/C][C]5419.59[/C][C]5226.33[/C][C]193.256[/C][C]-237.589[/C][/ROW]
[ROW][C]101[/C][C]5682[/C][C]5347.56[/C][C]5241[/C][C]106.558[/C][C]334.442[/C][/ROW]
[ROW][C]102[/C][C]5114[/C][C]5141.32[/C][C]5290[/C][C]-148.682[/C][C]-27.3181[/C][/ROW]
[ROW][C]103[/C][C]5136[/C][C]5306.89[/C][C]5323.42[/C][C]-16.5222[/C][C]-170.894[/C][/ROW]
[ROW][C]104[/C][C]5300[/C][C]5310.95[/C][C]5335.83[/C][C]-24.8833[/C][C]-10.95[/C][/ROW]
[ROW][C]105[/C][C]5396[/C][C]5331.42[/C][C]5354.67[/C][C]-23.2444[/C][C]64.5777[/C][/ROW]
[ROW][C]106[/C][C]5558[/C][C]5330.92[/C][C]5355.58[/C][C]-24.6611[/C][C]227.078[/C][/ROW]
[ROW][C]107[/C][C]6348[/C][C]5440.49[/C][C]5298.58[/C][C]141.904[/C][C]907.513[/C][/ROW]
[ROW][C]108[/C][C]4800[/C][C]5256.06[/C][C]5307.17[/C][C]-51.1055[/C][C]-456.061[/C][/ROW]
[ROW][C]109[/C][C]5204[/C][C]5246.47[/C][C]5399.5[/C][C]-153.031[/C][C]-42.4686[/C][/ROW]
[ROW][C]110[/C][C]5280[/C][C]5389.63[/C][C]5377.75[/C][C]11.876[/C][C]-109.626[/C][/ROW]
[ROW][C]111[/C][C]5372[/C][C]NA[/C][C]NA[/C][C]-11.4632[/C][C]NA[/C][/ROW]
[ROW][C]112[/C][C]4972[/C][C]NA[/C][C]NA[/C][C]193.256[/C][C]NA[/C][/ROW]
[ROW][C]113[/C][C]4524[/C][C]NA[/C][C]NA[/C][C]106.558[/C][C]NA[/C][/ROW]
[ROW][C]114[/C][C]6478[/C][C]NA[/C][C]NA[/C][C]-148.682[/C][C]NA[/C][/ROW]
[ROW][C]115[/C][C]5988[/C][C]NA[/C][C]NA[/C][C]-16.5222[/C][C]NA[/C][/ROW]
[ROW][C]116[/C][C]3926[/C][C]NA[/C][C]NA[/C][C]-24.8833[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=299357&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=299357&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
12846NANA-153.031NA
22424NANA11.876NA
32486NANA-11.4632NA
42512NANA193.256NA
52450NANA106.558NA
62574NANA-148.682NA
729482702.892719.42-16.5222245.106
826022726.72751.58-24.8833-124.7
927862768.672791.92-23.244417.3277
1029302807.422832.08-24.6611122.578
1128423015.492873.58141.904-173.487
1231242848.232899.33-51.1055275.772
1330642769.472922.5-153.031294.531
1429782969.542957.6711.8768.45737
1529002965.792977.25-11.4632-65.7868
1630623170.842977.58193.256-108.839
1728963071.892965.33106.558-175.891
1827462792.92941.58-148.682-46.9014
1933322925.482942-16.5222406.522
2030622941.372966.25-24.8833120.633
2127962961.422984.67-23.2444-165.422
2229282966.672991.33-24.6611-38.6723
2325503142.243000.33141.904-592.237
2428462974.143025.25-51.1055-128.144
2533522878.83031.83-153.031473.198
2632723031.463019.5811.876240.541
2730483010.623022.08-11.463237.3798
2830743218.513025.25193.256-144.506
2931003143.063036.5106.558-43.0577
3031402922.983071.67-148.682217.015
3130963046.983063.5-16.522249.0222
3230043008.73033.58-24.8833-4.70004
3329143019.173042.42-23.2444-105.172
3428863033.343058-24.6611-147.339
3528623210.993069.08141.904-348.987
3633783032.143083.25-51.1055345.856
3726242948.143101.17-153.031-324.135
3832823129.633117.7511.876152.374
3932503116.873128.33-11.4632133.13
4032463315.513122.25193.256-69.5056
4131943234.473127.92106.558-40.4743
4233863002.43151.08-148.682383.599
4332803147.563164.08-16.5222132.439
4432183144.533169.42-24.883373.4666
4529543147.843171.08-23.2444-193.839
4627003141.343166-24.6611-441.339
4731843312.93171141.904-128.904
4836123133.233184.33-51.1055478.772
4927023043.553196.58-153.031-341.552
5033323225.793213.9211.876106.207
5132403247.043258.5-11.4632-7.03684
5231343505.673312.42193.256-371.672
5334263459.313352.75106.558-33.3077
5434743243.43392.08-148.682230.599
5534863419.233435.75-16.522266.7722
5634283450.533475.42-24.8833-22.5334
5738143492.013515.25-23.2444321.994
5831343545.423570.08-24.6611-411.422
5937183772.653630.75141.904-54.6537
6040223625.063676.17-51.1055396.939
6133403549.33702.33-153.031-209.302
6236463744.463732.5811.876-98.4593
6338823760.123771.58-11.4632121.88
6438084018.673825.42193.256-210.672
6542083985.223878.67106.558222.776
6637823764.073912.75-148.68217.9319
6738063934.483951-16.5222-128.478
6838343969.453994.33-24.8833-135.45
6943444006.674029.92-23.2444337.328
7038964059.514084.17-24.6611-163.506
7142344262.074120.17141.904-28.0704
7243244079.564130.67-51.1055244.439
7339563989.724142.75-153.031-33.7186
7440704168.88415711.876-98.876
7543124157.74169.17-11.4632154.296
7646804398.344205.08193.256281.661
7742004360.394253.83106.558-160.391
7840424123.94272.58-148.682-81.9014
7938364292.644309.17-16.5222-456.644
8041464343.954368.83-24.8833-197.95
8143244386.264409.5-23.2444-62.2556
8247784451.264475.92-24.6611326.744
8345224709.074567.17141.904-187.07
8444864560.484611.58-51.1055-74.4778
8546724513.394666.42-153.031158.615
8647864777.044765.1711.8768.95737
8745724831.624843.08-11.4632-259.62
8860145098.264905193.256915.744
8950565105.474998.92106.558-49.4743
9042524890.45039.08-148.682-638.401
9149425024.395040.92-16.5222-82.3945
9254105046.375071.25-24.8833363.633
9349305083.095106.33-23.2444-153.089
9456585070.675095.33-24.6611587.328
9558965228.655086.75141.904667.346
9640765097.645148.75-51.1055-1021.64
9751265039.725192.75-153.03186.2814
9850605208.135196.2511.876-148.126
9951405199.625211.08-11.4632-59.6202
10051825419.595226.33193.256-237.589
10156825347.565241106.558334.442
10251145141.325290-148.682-27.3181
10351365306.895323.42-16.5222-170.894
10453005310.955335.83-24.8833-10.95
10553965331.425354.67-23.244464.5777
10655585330.925355.58-24.6611227.078
10763485440.495298.58141.904907.513
10848005256.065307.17-51.1055-456.061
10952045246.475399.5-153.031-42.4686
11052805389.635377.7511.876-109.626
1115372NANA-11.4632NA
1124972NANA193.256NA
1134524NANA106.558NA
1146478NANA-148.682NA
1155988NANA-16.5222NA
1163926NANA-24.8833NA



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')