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 computationThu, 13 Dec 2018 00:43:19 +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/2018/Dec/13/t1544658261ona818lfpa2whp9.htm/, Retrieved Tue, 30 Apr 2024 10:59:07 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=315872, Retrieved Tue, 30 Apr 2024 10:59:07 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact111
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [decompositie huwe...] [2018-12-12 23:43:19] [2dc18b866f0ea10cc28e24d728c8c28a] [Current]
Feedback Forum

Post a new message
Dataseries X:
1507
1992
2487
3490
4647
5594
5611
5788
6204
3013
1931
2549
1504
2090
2702
2939
4500
6208
6415
5657
5964
3163
1997
2422
1376
2202
2683
3303
5202
5231
4880
7998
4977
3531
2025
2205
1442
2238
2179
3218
5139
4990
4914
6084
5672
3548
1793
2086
1262
1743
1964
3258
4966
4944
5907
5561
5321
3582
1757
1894
1192
1658
1919
3354
4529
5233
5910
5164
5152
3057
1855
1978
1255
1693
2449
3178
4831
6025
4492
5174
5600
2752
1925
2824
1041
1476
2239
2727
4303
5160
4103
5554
4906
2677
1677
1991
993
1800
2012
2880
4705
5107
4482
5966
4858
3036
1844
2196




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=315872&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=315872&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=315872&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
11507NANA-2284.14NA
21992NANA-1674.82NA
32487NANA-1262.86NA
43490NANA-417.217NA
54647NANA1247.87NA
65594NANA1840.53NA
756115444.693734.291710.4166.306
857886045.833738.252307.58-257.83
962045664.353751.291913.05539.655
1030133346.873737.29-390.42-333.872
1119312025.293708.21-1682.92-94.2882
1225492420.613727.67-1307.06128.394
1315041502.613786.75-2284.141.3941
1420902139.983814.79-1674.82-49.9757
1527022536.483799.33-1262.86165.524
1629393378.373795.58-417.217-439.366
1745005052.453804.581247.87-552.45
1862085642.573802.041840.53565.425
1964155501.823791.421710.4913.181
2056576098.333790.752307.58-441.33
2159645707.683794.621913.05256.321
2231633418.583809-390.42-255.58
2319972170.53853.42-1682.92-173.497
2424222534.93841.96-1307.06-112.898
2513761453.153737.29-2284.14-77.1476
2622022096.063770.88-1674.82105.941
2726832564.433827.29-1262.86118.566
2833033384.283801.5-417.217-81.283
2952025065.8738181247.87136.134
3052315650.663810.121840.53-419.658
3148805514.243803.831710.4-634.236
3279986115.663808.082307.581882.34
3349775701.643788.581913.05-724.637
3435313373.623764.04-390.42157.378
3520252074.953757.87-1682.92-49.9549
3622052438.153745.21-1307.06-233.148
3714421452.443736.58-2284.14-10.4392
3822381983.433658.25-1674.82254.566
3921792344.63607.46-1262.86-165.601
4032183219.913637.12-417.217-1.90799
4151394876.033628.171247.87262.967
4249905454.073613.541840.53-464.075
4349145311.493601.081710.4-397.486
4460845880.543572.962307.58203.462
4556725456.433543.371913.05215.571
4635483145.663536.08-390.42402.337
4717931847.623530.54-1682.92-54.6215
4820862214.363521.42-1307.06-128.356
4912621276.733560.87-2284.14-14.7309
5017431905.643580.46-1674.82-162.642
5119642281.183544.04-1262.86-317.184
5232583113.623530.83-417.217144.384
5349664778.623530.751247.87187.384
5449445361.783521.251840.53-417.783
5559075220.743510.331710.4686.264
5655615811.453503.882307.58-250.455
5753215411.513498.461913.05-90.5122
5835823110.163500.58-390.42471.837
5917571803.453486.37-1682.92-46.4549
6018942173.153480.21-1307.06-279.148
6111921208.233492.38-2284.14-16.2309
6216581801.143475.96-1674.82-143.142
6319192189.523452.38-1262.86-270.517
6433543006.243423.46-417.217347.759
6545294653.533405.671247.87-124.533
6652335253.783413.251840.53-20.783
6759105129.783419.371710.4780.222
6851645731.043423.462307.58-567.038
6951525360.0534471913.05-208.054
7030573071.333461.75-390.42-14.3299
7118551784.083467-1682.9270.9201
7219782205.523512.58-1307.06-227.523
7312551202.363486.5-2284.1452.6441
7416931753.023427.83-1674.82-60.0174
7524492184.063446.92-1262.86264.941
7631783035.663452.88-417.217142.342
7748314690.953443.081247.87140.05
7860255321.783481.251840.53703.217
7944925217.993507.581710.4-725.986
8051745797.23489.622307.58-623.205
8156005384.893471.831913.05215.113
8227523053.873444.29-390.42-301.872
8319251720.583403.5-1682.92204.42
8428242038.43345.46-1307.06785.602
8510411009.063293.21-2284.1431.9358
8614761618.023292.83-1674.82-142.017
8722392016.893279.75-1262.86222.108
8827272830.493247.71-417.217-103.491
8943034482.123234.251247.87-179.116
9051605029.743189.211840.53130.259
9141034862.93152.51710.4-759.903
9255545471.5831642307.5882.4201
9349065081.13168.041913.05-175.095
9426772774.543164.96-390.42-97.5382
9516771505.163188.08-1682.92171.837
9619911895.563202.62-1307.0695.4358
97993932.0643216.21-2284.1460.9358
9818001574.353249.17-1674.82225.649
9920122001.483264.33-1262.8610.5243
10028802860.073277.29-417.21719.9253
10147054547.073299.211247.87157.925
10251075155.243314.711840.53-48.2413
1034482NANA1710.4NA
1045966NANA2307.58NA
1054858NANA1913.05NA
1063036NANA-390.42NA
1071844NANA-1682.92NA
1082196NANA-1307.06NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 1507 & NA & NA & -2284.14 & NA \tabularnewline
2 & 1992 & NA & NA & -1674.82 & NA \tabularnewline
3 & 2487 & NA & NA & -1262.86 & NA \tabularnewline
4 & 3490 & NA & NA & -417.217 & NA \tabularnewline
5 & 4647 & NA & NA & 1247.87 & NA \tabularnewline
6 & 5594 & NA & NA & 1840.53 & NA \tabularnewline
7 & 5611 & 5444.69 & 3734.29 & 1710.4 & 166.306 \tabularnewline
8 & 5788 & 6045.83 & 3738.25 & 2307.58 & -257.83 \tabularnewline
9 & 6204 & 5664.35 & 3751.29 & 1913.05 & 539.655 \tabularnewline
10 & 3013 & 3346.87 & 3737.29 & -390.42 & -333.872 \tabularnewline
11 & 1931 & 2025.29 & 3708.21 & -1682.92 & -94.2882 \tabularnewline
12 & 2549 & 2420.61 & 3727.67 & -1307.06 & 128.394 \tabularnewline
13 & 1504 & 1502.61 & 3786.75 & -2284.14 & 1.3941 \tabularnewline
14 & 2090 & 2139.98 & 3814.79 & -1674.82 & -49.9757 \tabularnewline
15 & 2702 & 2536.48 & 3799.33 & -1262.86 & 165.524 \tabularnewline
16 & 2939 & 3378.37 & 3795.58 & -417.217 & -439.366 \tabularnewline
17 & 4500 & 5052.45 & 3804.58 & 1247.87 & -552.45 \tabularnewline
18 & 6208 & 5642.57 & 3802.04 & 1840.53 & 565.425 \tabularnewline
19 & 6415 & 5501.82 & 3791.42 & 1710.4 & 913.181 \tabularnewline
20 & 5657 & 6098.33 & 3790.75 & 2307.58 & -441.33 \tabularnewline
21 & 5964 & 5707.68 & 3794.62 & 1913.05 & 256.321 \tabularnewline
22 & 3163 & 3418.58 & 3809 & -390.42 & -255.58 \tabularnewline
23 & 1997 & 2170.5 & 3853.42 & -1682.92 & -173.497 \tabularnewline
24 & 2422 & 2534.9 & 3841.96 & -1307.06 & -112.898 \tabularnewline
25 & 1376 & 1453.15 & 3737.29 & -2284.14 & -77.1476 \tabularnewline
26 & 2202 & 2096.06 & 3770.88 & -1674.82 & 105.941 \tabularnewline
27 & 2683 & 2564.43 & 3827.29 & -1262.86 & 118.566 \tabularnewline
28 & 3303 & 3384.28 & 3801.5 & -417.217 & -81.283 \tabularnewline
29 & 5202 & 5065.87 & 3818 & 1247.87 & 136.134 \tabularnewline
30 & 5231 & 5650.66 & 3810.12 & 1840.53 & -419.658 \tabularnewline
31 & 4880 & 5514.24 & 3803.83 & 1710.4 & -634.236 \tabularnewline
32 & 7998 & 6115.66 & 3808.08 & 2307.58 & 1882.34 \tabularnewline
33 & 4977 & 5701.64 & 3788.58 & 1913.05 & -724.637 \tabularnewline
34 & 3531 & 3373.62 & 3764.04 & -390.42 & 157.378 \tabularnewline
35 & 2025 & 2074.95 & 3757.87 & -1682.92 & -49.9549 \tabularnewline
36 & 2205 & 2438.15 & 3745.21 & -1307.06 & -233.148 \tabularnewline
37 & 1442 & 1452.44 & 3736.58 & -2284.14 & -10.4392 \tabularnewline
38 & 2238 & 1983.43 & 3658.25 & -1674.82 & 254.566 \tabularnewline
39 & 2179 & 2344.6 & 3607.46 & -1262.86 & -165.601 \tabularnewline
40 & 3218 & 3219.91 & 3637.12 & -417.217 & -1.90799 \tabularnewline
41 & 5139 & 4876.03 & 3628.17 & 1247.87 & 262.967 \tabularnewline
42 & 4990 & 5454.07 & 3613.54 & 1840.53 & -464.075 \tabularnewline
43 & 4914 & 5311.49 & 3601.08 & 1710.4 & -397.486 \tabularnewline
44 & 6084 & 5880.54 & 3572.96 & 2307.58 & 203.462 \tabularnewline
45 & 5672 & 5456.43 & 3543.37 & 1913.05 & 215.571 \tabularnewline
46 & 3548 & 3145.66 & 3536.08 & -390.42 & 402.337 \tabularnewline
47 & 1793 & 1847.62 & 3530.54 & -1682.92 & -54.6215 \tabularnewline
48 & 2086 & 2214.36 & 3521.42 & -1307.06 & -128.356 \tabularnewline
49 & 1262 & 1276.73 & 3560.87 & -2284.14 & -14.7309 \tabularnewline
50 & 1743 & 1905.64 & 3580.46 & -1674.82 & -162.642 \tabularnewline
51 & 1964 & 2281.18 & 3544.04 & -1262.86 & -317.184 \tabularnewline
52 & 3258 & 3113.62 & 3530.83 & -417.217 & 144.384 \tabularnewline
53 & 4966 & 4778.62 & 3530.75 & 1247.87 & 187.384 \tabularnewline
54 & 4944 & 5361.78 & 3521.25 & 1840.53 & -417.783 \tabularnewline
55 & 5907 & 5220.74 & 3510.33 & 1710.4 & 686.264 \tabularnewline
56 & 5561 & 5811.45 & 3503.88 & 2307.58 & -250.455 \tabularnewline
57 & 5321 & 5411.51 & 3498.46 & 1913.05 & -90.5122 \tabularnewline
58 & 3582 & 3110.16 & 3500.58 & -390.42 & 471.837 \tabularnewline
59 & 1757 & 1803.45 & 3486.37 & -1682.92 & -46.4549 \tabularnewline
60 & 1894 & 2173.15 & 3480.21 & -1307.06 & -279.148 \tabularnewline
61 & 1192 & 1208.23 & 3492.38 & -2284.14 & -16.2309 \tabularnewline
62 & 1658 & 1801.14 & 3475.96 & -1674.82 & -143.142 \tabularnewline
63 & 1919 & 2189.52 & 3452.38 & -1262.86 & -270.517 \tabularnewline
64 & 3354 & 3006.24 & 3423.46 & -417.217 & 347.759 \tabularnewline
65 & 4529 & 4653.53 & 3405.67 & 1247.87 & -124.533 \tabularnewline
66 & 5233 & 5253.78 & 3413.25 & 1840.53 & -20.783 \tabularnewline
67 & 5910 & 5129.78 & 3419.37 & 1710.4 & 780.222 \tabularnewline
68 & 5164 & 5731.04 & 3423.46 & 2307.58 & -567.038 \tabularnewline
69 & 5152 & 5360.05 & 3447 & 1913.05 & -208.054 \tabularnewline
70 & 3057 & 3071.33 & 3461.75 & -390.42 & -14.3299 \tabularnewline
71 & 1855 & 1784.08 & 3467 & -1682.92 & 70.9201 \tabularnewline
72 & 1978 & 2205.52 & 3512.58 & -1307.06 & -227.523 \tabularnewline
73 & 1255 & 1202.36 & 3486.5 & -2284.14 & 52.6441 \tabularnewline
74 & 1693 & 1753.02 & 3427.83 & -1674.82 & -60.0174 \tabularnewline
75 & 2449 & 2184.06 & 3446.92 & -1262.86 & 264.941 \tabularnewline
76 & 3178 & 3035.66 & 3452.88 & -417.217 & 142.342 \tabularnewline
77 & 4831 & 4690.95 & 3443.08 & 1247.87 & 140.05 \tabularnewline
78 & 6025 & 5321.78 & 3481.25 & 1840.53 & 703.217 \tabularnewline
79 & 4492 & 5217.99 & 3507.58 & 1710.4 & -725.986 \tabularnewline
80 & 5174 & 5797.2 & 3489.62 & 2307.58 & -623.205 \tabularnewline
81 & 5600 & 5384.89 & 3471.83 & 1913.05 & 215.113 \tabularnewline
82 & 2752 & 3053.87 & 3444.29 & -390.42 & -301.872 \tabularnewline
83 & 1925 & 1720.58 & 3403.5 & -1682.92 & 204.42 \tabularnewline
84 & 2824 & 2038.4 & 3345.46 & -1307.06 & 785.602 \tabularnewline
85 & 1041 & 1009.06 & 3293.21 & -2284.14 & 31.9358 \tabularnewline
86 & 1476 & 1618.02 & 3292.83 & -1674.82 & -142.017 \tabularnewline
87 & 2239 & 2016.89 & 3279.75 & -1262.86 & 222.108 \tabularnewline
88 & 2727 & 2830.49 & 3247.71 & -417.217 & -103.491 \tabularnewline
89 & 4303 & 4482.12 & 3234.25 & 1247.87 & -179.116 \tabularnewline
90 & 5160 & 5029.74 & 3189.21 & 1840.53 & 130.259 \tabularnewline
91 & 4103 & 4862.9 & 3152.5 & 1710.4 & -759.903 \tabularnewline
92 & 5554 & 5471.58 & 3164 & 2307.58 & 82.4201 \tabularnewline
93 & 4906 & 5081.1 & 3168.04 & 1913.05 & -175.095 \tabularnewline
94 & 2677 & 2774.54 & 3164.96 & -390.42 & -97.5382 \tabularnewline
95 & 1677 & 1505.16 & 3188.08 & -1682.92 & 171.837 \tabularnewline
96 & 1991 & 1895.56 & 3202.62 & -1307.06 & 95.4358 \tabularnewline
97 & 993 & 932.064 & 3216.21 & -2284.14 & 60.9358 \tabularnewline
98 & 1800 & 1574.35 & 3249.17 & -1674.82 & 225.649 \tabularnewline
99 & 2012 & 2001.48 & 3264.33 & -1262.86 & 10.5243 \tabularnewline
100 & 2880 & 2860.07 & 3277.29 & -417.217 & 19.9253 \tabularnewline
101 & 4705 & 4547.07 & 3299.21 & 1247.87 & 157.925 \tabularnewline
102 & 5107 & 5155.24 & 3314.71 & 1840.53 & -48.2413 \tabularnewline
103 & 4482 & NA & NA & 1710.4 & NA \tabularnewline
104 & 5966 & NA & NA & 2307.58 & NA \tabularnewline
105 & 4858 & NA & NA & 1913.05 & NA \tabularnewline
106 & 3036 & NA & NA & -390.42 & NA \tabularnewline
107 & 1844 & NA & NA & -1682.92 & NA \tabularnewline
108 & 2196 & NA & NA & -1307.06 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=315872&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]1507[/C][C]NA[/C][C]NA[/C][C]-2284.14[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]1992[/C][C]NA[/C][C]NA[/C][C]-1674.82[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]2487[/C][C]NA[/C][C]NA[/C][C]-1262.86[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]3490[/C][C]NA[/C][C]NA[/C][C]-417.217[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]4647[/C][C]NA[/C][C]NA[/C][C]1247.87[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]5594[/C][C]NA[/C][C]NA[/C][C]1840.53[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]5611[/C][C]5444.69[/C][C]3734.29[/C][C]1710.4[/C][C]166.306[/C][/ROW]
[ROW][C]8[/C][C]5788[/C][C]6045.83[/C][C]3738.25[/C][C]2307.58[/C][C]-257.83[/C][/ROW]
[ROW][C]9[/C][C]6204[/C][C]5664.35[/C][C]3751.29[/C][C]1913.05[/C][C]539.655[/C][/ROW]
[ROW][C]10[/C][C]3013[/C][C]3346.87[/C][C]3737.29[/C][C]-390.42[/C][C]-333.872[/C][/ROW]
[ROW][C]11[/C][C]1931[/C][C]2025.29[/C][C]3708.21[/C][C]-1682.92[/C][C]-94.2882[/C][/ROW]
[ROW][C]12[/C][C]2549[/C][C]2420.61[/C][C]3727.67[/C][C]-1307.06[/C][C]128.394[/C][/ROW]
[ROW][C]13[/C][C]1504[/C][C]1502.61[/C][C]3786.75[/C][C]-2284.14[/C][C]1.3941[/C][/ROW]
[ROW][C]14[/C][C]2090[/C][C]2139.98[/C][C]3814.79[/C][C]-1674.82[/C][C]-49.9757[/C][/ROW]
[ROW][C]15[/C][C]2702[/C][C]2536.48[/C][C]3799.33[/C][C]-1262.86[/C][C]165.524[/C][/ROW]
[ROW][C]16[/C][C]2939[/C][C]3378.37[/C][C]3795.58[/C][C]-417.217[/C][C]-439.366[/C][/ROW]
[ROW][C]17[/C][C]4500[/C][C]5052.45[/C][C]3804.58[/C][C]1247.87[/C][C]-552.45[/C][/ROW]
[ROW][C]18[/C][C]6208[/C][C]5642.57[/C][C]3802.04[/C][C]1840.53[/C][C]565.425[/C][/ROW]
[ROW][C]19[/C][C]6415[/C][C]5501.82[/C][C]3791.42[/C][C]1710.4[/C][C]913.181[/C][/ROW]
[ROW][C]20[/C][C]5657[/C][C]6098.33[/C][C]3790.75[/C][C]2307.58[/C][C]-441.33[/C][/ROW]
[ROW][C]21[/C][C]5964[/C][C]5707.68[/C][C]3794.62[/C][C]1913.05[/C][C]256.321[/C][/ROW]
[ROW][C]22[/C][C]3163[/C][C]3418.58[/C][C]3809[/C][C]-390.42[/C][C]-255.58[/C][/ROW]
[ROW][C]23[/C][C]1997[/C][C]2170.5[/C][C]3853.42[/C][C]-1682.92[/C][C]-173.497[/C][/ROW]
[ROW][C]24[/C][C]2422[/C][C]2534.9[/C][C]3841.96[/C][C]-1307.06[/C][C]-112.898[/C][/ROW]
[ROW][C]25[/C][C]1376[/C][C]1453.15[/C][C]3737.29[/C][C]-2284.14[/C][C]-77.1476[/C][/ROW]
[ROW][C]26[/C][C]2202[/C][C]2096.06[/C][C]3770.88[/C][C]-1674.82[/C][C]105.941[/C][/ROW]
[ROW][C]27[/C][C]2683[/C][C]2564.43[/C][C]3827.29[/C][C]-1262.86[/C][C]118.566[/C][/ROW]
[ROW][C]28[/C][C]3303[/C][C]3384.28[/C][C]3801.5[/C][C]-417.217[/C][C]-81.283[/C][/ROW]
[ROW][C]29[/C][C]5202[/C][C]5065.87[/C][C]3818[/C][C]1247.87[/C][C]136.134[/C][/ROW]
[ROW][C]30[/C][C]5231[/C][C]5650.66[/C][C]3810.12[/C][C]1840.53[/C][C]-419.658[/C][/ROW]
[ROW][C]31[/C][C]4880[/C][C]5514.24[/C][C]3803.83[/C][C]1710.4[/C][C]-634.236[/C][/ROW]
[ROW][C]32[/C][C]7998[/C][C]6115.66[/C][C]3808.08[/C][C]2307.58[/C][C]1882.34[/C][/ROW]
[ROW][C]33[/C][C]4977[/C][C]5701.64[/C][C]3788.58[/C][C]1913.05[/C][C]-724.637[/C][/ROW]
[ROW][C]34[/C][C]3531[/C][C]3373.62[/C][C]3764.04[/C][C]-390.42[/C][C]157.378[/C][/ROW]
[ROW][C]35[/C][C]2025[/C][C]2074.95[/C][C]3757.87[/C][C]-1682.92[/C][C]-49.9549[/C][/ROW]
[ROW][C]36[/C][C]2205[/C][C]2438.15[/C][C]3745.21[/C][C]-1307.06[/C][C]-233.148[/C][/ROW]
[ROW][C]37[/C][C]1442[/C][C]1452.44[/C][C]3736.58[/C][C]-2284.14[/C][C]-10.4392[/C][/ROW]
[ROW][C]38[/C][C]2238[/C][C]1983.43[/C][C]3658.25[/C][C]-1674.82[/C][C]254.566[/C][/ROW]
[ROW][C]39[/C][C]2179[/C][C]2344.6[/C][C]3607.46[/C][C]-1262.86[/C][C]-165.601[/C][/ROW]
[ROW][C]40[/C][C]3218[/C][C]3219.91[/C][C]3637.12[/C][C]-417.217[/C][C]-1.90799[/C][/ROW]
[ROW][C]41[/C][C]5139[/C][C]4876.03[/C][C]3628.17[/C][C]1247.87[/C][C]262.967[/C][/ROW]
[ROW][C]42[/C][C]4990[/C][C]5454.07[/C][C]3613.54[/C][C]1840.53[/C][C]-464.075[/C][/ROW]
[ROW][C]43[/C][C]4914[/C][C]5311.49[/C][C]3601.08[/C][C]1710.4[/C][C]-397.486[/C][/ROW]
[ROW][C]44[/C][C]6084[/C][C]5880.54[/C][C]3572.96[/C][C]2307.58[/C][C]203.462[/C][/ROW]
[ROW][C]45[/C][C]5672[/C][C]5456.43[/C][C]3543.37[/C][C]1913.05[/C][C]215.571[/C][/ROW]
[ROW][C]46[/C][C]3548[/C][C]3145.66[/C][C]3536.08[/C][C]-390.42[/C][C]402.337[/C][/ROW]
[ROW][C]47[/C][C]1793[/C][C]1847.62[/C][C]3530.54[/C][C]-1682.92[/C][C]-54.6215[/C][/ROW]
[ROW][C]48[/C][C]2086[/C][C]2214.36[/C][C]3521.42[/C][C]-1307.06[/C][C]-128.356[/C][/ROW]
[ROW][C]49[/C][C]1262[/C][C]1276.73[/C][C]3560.87[/C][C]-2284.14[/C][C]-14.7309[/C][/ROW]
[ROW][C]50[/C][C]1743[/C][C]1905.64[/C][C]3580.46[/C][C]-1674.82[/C][C]-162.642[/C][/ROW]
[ROW][C]51[/C][C]1964[/C][C]2281.18[/C][C]3544.04[/C][C]-1262.86[/C][C]-317.184[/C][/ROW]
[ROW][C]52[/C][C]3258[/C][C]3113.62[/C][C]3530.83[/C][C]-417.217[/C][C]144.384[/C][/ROW]
[ROW][C]53[/C][C]4966[/C][C]4778.62[/C][C]3530.75[/C][C]1247.87[/C][C]187.384[/C][/ROW]
[ROW][C]54[/C][C]4944[/C][C]5361.78[/C][C]3521.25[/C][C]1840.53[/C][C]-417.783[/C][/ROW]
[ROW][C]55[/C][C]5907[/C][C]5220.74[/C][C]3510.33[/C][C]1710.4[/C][C]686.264[/C][/ROW]
[ROW][C]56[/C][C]5561[/C][C]5811.45[/C][C]3503.88[/C][C]2307.58[/C][C]-250.455[/C][/ROW]
[ROW][C]57[/C][C]5321[/C][C]5411.51[/C][C]3498.46[/C][C]1913.05[/C][C]-90.5122[/C][/ROW]
[ROW][C]58[/C][C]3582[/C][C]3110.16[/C][C]3500.58[/C][C]-390.42[/C][C]471.837[/C][/ROW]
[ROW][C]59[/C][C]1757[/C][C]1803.45[/C][C]3486.37[/C][C]-1682.92[/C][C]-46.4549[/C][/ROW]
[ROW][C]60[/C][C]1894[/C][C]2173.15[/C][C]3480.21[/C][C]-1307.06[/C][C]-279.148[/C][/ROW]
[ROW][C]61[/C][C]1192[/C][C]1208.23[/C][C]3492.38[/C][C]-2284.14[/C][C]-16.2309[/C][/ROW]
[ROW][C]62[/C][C]1658[/C][C]1801.14[/C][C]3475.96[/C][C]-1674.82[/C][C]-143.142[/C][/ROW]
[ROW][C]63[/C][C]1919[/C][C]2189.52[/C][C]3452.38[/C][C]-1262.86[/C][C]-270.517[/C][/ROW]
[ROW][C]64[/C][C]3354[/C][C]3006.24[/C][C]3423.46[/C][C]-417.217[/C][C]347.759[/C][/ROW]
[ROW][C]65[/C][C]4529[/C][C]4653.53[/C][C]3405.67[/C][C]1247.87[/C][C]-124.533[/C][/ROW]
[ROW][C]66[/C][C]5233[/C][C]5253.78[/C][C]3413.25[/C][C]1840.53[/C][C]-20.783[/C][/ROW]
[ROW][C]67[/C][C]5910[/C][C]5129.78[/C][C]3419.37[/C][C]1710.4[/C][C]780.222[/C][/ROW]
[ROW][C]68[/C][C]5164[/C][C]5731.04[/C][C]3423.46[/C][C]2307.58[/C][C]-567.038[/C][/ROW]
[ROW][C]69[/C][C]5152[/C][C]5360.05[/C][C]3447[/C][C]1913.05[/C][C]-208.054[/C][/ROW]
[ROW][C]70[/C][C]3057[/C][C]3071.33[/C][C]3461.75[/C][C]-390.42[/C][C]-14.3299[/C][/ROW]
[ROW][C]71[/C][C]1855[/C][C]1784.08[/C][C]3467[/C][C]-1682.92[/C][C]70.9201[/C][/ROW]
[ROW][C]72[/C][C]1978[/C][C]2205.52[/C][C]3512.58[/C][C]-1307.06[/C][C]-227.523[/C][/ROW]
[ROW][C]73[/C][C]1255[/C][C]1202.36[/C][C]3486.5[/C][C]-2284.14[/C][C]52.6441[/C][/ROW]
[ROW][C]74[/C][C]1693[/C][C]1753.02[/C][C]3427.83[/C][C]-1674.82[/C][C]-60.0174[/C][/ROW]
[ROW][C]75[/C][C]2449[/C][C]2184.06[/C][C]3446.92[/C][C]-1262.86[/C][C]264.941[/C][/ROW]
[ROW][C]76[/C][C]3178[/C][C]3035.66[/C][C]3452.88[/C][C]-417.217[/C][C]142.342[/C][/ROW]
[ROW][C]77[/C][C]4831[/C][C]4690.95[/C][C]3443.08[/C][C]1247.87[/C][C]140.05[/C][/ROW]
[ROW][C]78[/C][C]6025[/C][C]5321.78[/C][C]3481.25[/C][C]1840.53[/C][C]703.217[/C][/ROW]
[ROW][C]79[/C][C]4492[/C][C]5217.99[/C][C]3507.58[/C][C]1710.4[/C][C]-725.986[/C][/ROW]
[ROW][C]80[/C][C]5174[/C][C]5797.2[/C][C]3489.62[/C][C]2307.58[/C][C]-623.205[/C][/ROW]
[ROW][C]81[/C][C]5600[/C][C]5384.89[/C][C]3471.83[/C][C]1913.05[/C][C]215.113[/C][/ROW]
[ROW][C]82[/C][C]2752[/C][C]3053.87[/C][C]3444.29[/C][C]-390.42[/C][C]-301.872[/C][/ROW]
[ROW][C]83[/C][C]1925[/C][C]1720.58[/C][C]3403.5[/C][C]-1682.92[/C][C]204.42[/C][/ROW]
[ROW][C]84[/C][C]2824[/C][C]2038.4[/C][C]3345.46[/C][C]-1307.06[/C][C]785.602[/C][/ROW]
[ROW][C]85[/C][C]1041[/C][C]1009.06[/C][C]3293.21[/C][C]-2284.14[/C][C]31.9358[/C][/ROW]
[ROW][C]86[/C][C]1476[/C][C]1618.02[/C][C]3292.83[/C][C]-1674.82[/C][C]-142.017[/C][/ROW]
[ROW][C]87[/C][C]2239[/C][C]2016.89[/C][C]3279.75[/C][C]-1262.86[/C][C]222.108[/C][/ROW]
[ROW][C]88[/C][C]2727[/C][C]2830.49[/C][C]3247.71[/C][C]-417.217[/C][C]-103.491[/C][/ROW]
[ROW][C]89[/C][C]4303[/C][C]4482.12[/C][C]3234.25[/C][C]1247.87[/C][C]-179.116[/C][/ROW]
[ROW][C]90[/C][C]5160[/C][C]5029.74[/C][C]3189.21[/C][C]1840.53[/C][C]130.259[/C][/ROW]
[ROW][C]91[/C][C]4103[/C][C]4862.9[/C][C]3152.5[/C][C]1710.4[/C][C]-759.903[/C][/ROW]
[ROW][C]92[/C][C]5554[/C][C]5471.58[/C][C]3164[/C][C]2307.58[/C][C]82.4201[/C][/ROW]
[ROW][C]93[/C][C]4906[/C][C]5081.1[/C][C]3168.04[/C][C]1913.05[/C][C]-175.095[/C][/ROW]
[ROW][C]94[/C][C]2677[/C][C]2774.54[/C][C]3164.96[/C][C]-390.42[/C][C]-97.5382[/C][/ROW]
[ROW][C]95[/C][C]1677[/C][C]1505.16[/C][C]3188.08[/C][C]-1682.92[/C][C]171.837[/C][/ROW]
[ROW][C]96[/C][C]1991[/C][C]1895.56[/C][C]3202.62[/C][C]-1307.06[/C][C]95.4358[/C][/ROW]
[ROW][C]97[/C][C]993[/C][C]932.064[/C][C]3216.21[/C][C]-2284.14[/C][C]60.9358[/C][/ROW]
[ROW][C]98[/C][C]1800[/C][C]1574.35[/C][C]3249.17[/C][C]-1674.82[/C][C]225.649[/C][/ROW]
[ROW][C]99[/C][C]2012[/C][C]2001.48[/C][C]3264.33[/C][C]-1262.86[/C][C]10.5243[/C][/ROW]
[ROW][C]100[/C][C]2880[/C][C]2860.07[/C][C]3277.29[/C][C]-417.217[/C][C]19.9253[/C][/ROW]
[ROW][C]101[/C][C]4705[/C][C]4547.07[/C][C]3299.21[/C][C]1247.87[/C][C]157.925[/C][/ROW]
[ROW][C]102[/C][C]5107[/C][C]5155.24[/C][C]3314.71[/C][C]1840.53[/C][C]-48.2413[/C][/ROW]
[ROW][C]103[/C][C]4482[/C][C]NA[/C][C]NA[/C][C]1710.4[/C][C]NA[/C][/ROW]
[ROW][C]104[/C][C]5966[/C][C]NA[/C][C]NA[/C][C]2307.58[/C][C]NA[/C][/ROW]
[ROW][C]105[/C][C]4858[/C][C]NA[/C][C]NA[/C][C]1913.05[/C][C]NA[/C][/ROW]
[ROW][C]106[/C][C]3036[/C][C]NA[/C][C]NA[/C][C]-390.42[/C][C]NA[/C][/ROW]
[ROW][C]107[/C][C]1844[/C][C]NA[/C][C]NA[/C][C]-1682.92[/C][C]NA[/C][/ROW]
[ROW][C]108[/C][C]2196[/C][C]NA[/C][C]NA[/C][C]-1307.06[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=315872&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=315872&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
11507NANA-2284.14NA
21992NANA-1674.82NA
32487NANA-1262.86NA
43490NANA-417.217NA
54647NANA1247.87NA
65594NANA1840.53NA
756115444.693734.291710.4166.306
857886045.833738.252307.58-257.83
962045664.353751.291913.05539.655
1030133346.873737.29-390.42-333.872
1119312025.293708.21-1682.92-94.2882
1225492420.613727.67-1307.06128.394
1315041502.613786.75-2284.141.3941
1420902139.983814.79-1674.82-49.9757
1527022536.483799.33-1262.86165.524
1629393378.373795.58-417.217-439.366
1745005052.453804.581247.87-552.45
1862085642.573802.041840.53565.425
1964155501.823791.421710.4913.181
2056576098.333790.752307.58-441.33
2159645707.683794.621913.05256.321
2231633418.583809-390.42-255.58
2319972170.53853.42-1682.92-173.497
2424222534.93841.96-1307.06-112.898
2513761453.153737.29-2284.14-77.1476
2622022096.063770.88-1674.82105.941
2726832564.433827.29-1262.86118.566
2833033384.283801.5-417.217-81.283
2952025065.8738181247.87136.134
3052315650.663810.121840.53-419.658
3148805514.243803.831710.4-634.236
3279986115.663808.082307.581882.34
3349775701.643788.581913.05-724.637
3435313373.623764.04-390.42157.378
3520252074.953757.87-1682.92-49.9549
3622052438.153745.21-1307.06-233.148
3714421452.443736.58-2284.14-10.4392
3822381983.433658.25-1674.82254.566
3921792344.63607.46-1262.86-165.601
4032183219.913637.12-417.217-1.90799
4151394876.033628.171247.87262.967
4249905454.073613.541840.53-464.075
4349145311.493601.081710.4-397.486
4460845880.543572.962307.58203.462
4556725456.433543.371913.05215.571
4635483145.663536.08-390.42402.337
4717931847.623530.54-1682.92-54.6215
4820862214.363521.42-1307.06-128.356
4912621276.733560.87-2284.14-14.7309
5017431905.643580.46-1674.82-162.642
5119642281.183544.04-1262.86-317.184
5232583113.623530.83-417.217144.384
5349664778.623530.751247.87187.384
5449445361.783521.251840.53-417.783
5559075220.743510.331710.4686.264
5655615811.453503.882307.58-250.455
5753215411.513498.461913.05-90.5122
5835823110.163500.58-390.42471.837
5917571803.453486.37-1682.92-46.4549
6018942173.153480.21-1307.06-279.148
6111921208.233492.38-2284.14-16.2309
6216581801.143475.96-1674.82-143.142
6319192189.523452.38-1262.86-270.517
6433543006.243423.46-417.217347.759
6545294653.533405.671247.87-124.533
6652335253.783413.251840.53-20.783
6759105129.783419.371710.4780.222
6851645731.043423.462307.58-567.038
6951525360.0534471913.05-208.054
7030573071.333461.75-390.42-14.3299
7118551784.083467-1682.9270.9201
7219782205.523512.58-1307.06-227.523
7312551202.363486.5-2284.1452.6441
7416931753.023427.83-1674.82-60.0174
7524492184.063446.92-1262.86264.941
7631783035.663452.88-417.217142.342
7748314690.953443.081247.87140.05
7860255321.783481.251840.53703.217
7944925217.993507.581710.4-725.986
8051745797.23489.622307.58-623.205
8156005384.893471.831913.05215.113
8227523053.873444.29-390.42-301.872
8319251720.583403.5-1682.92204.42
8428242038.43345.46-1307.06785.602
8510411009.063293.21-2284.1431.9358
8614761618.023292.83-1674.82-142.017
8722392016.893279.75-1262.86222.108
8827272830.493247.71-417.217-103.491
8943034482.123234.251247.87-179.116
9051605029.743189.211840.53130.259
9141034862.93152.51710.4-759.903
9255545471.5831642307.5882.4201
9349065081.13168.041913.05-175.095
9426772774.543164.96-390.42-97.5382
9516771505.163188.08-1682.92171.837
9619911895.563202.62-1307.0695.4358
97993932.0643216.21-2284.1460.9358
9818001574.353249.17-1674.82225.649
9920122001.483264.33-1262.8610.5243
10028802860.073277.29-417.21719.9253
10147054547.073299.211247.87157.925
10251075155.243314.711840.53-48.2413
1034482NANA1710.4NA
1045966NANA2307.58NA
1054858NANA1913.05NA
1063036NANA-390.42NA
1071844NANA-1682.92NA
1082196NANA-1307.06NA



Parameters (Session):
par1 = 8 ; par2 = 0 ;
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')