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Author's title

Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationThu, 14 Aug 2014 11:49:48 +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/2014/Aug/14/t1408013474bh4nhytjda9nw5l.htm/, Retrieved Wed, 15 May 2024 22:26:50 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=235556, Retrieved Wed, 15 May 2024 22:26:50 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsBoeykens Brice
Estimated Impact158
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [Tijdreeks B Stap 24] [2014-08-14 10:49:48] [7314f5de623f4497f735e8af2050bf2f] [Current]
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Dataseries X:
330
310
310
380
330
250
370
380
430
360
440
480
260
340
270
400
330
340
360
480
490
420
430
450
300
320
260
330
260
330
350
500
570
450
420
360
280
360
260
370
200
320
390
480
570
450
460
320
310
410
230
450
230
310
430
540
450
430
480
320
310
380
210
450
120
210
410
660
510
510
450
290
320
380
260
530
180
260
460
620
540
610
460
290
330
440
350
450
240
280
540
540
600
590
410
270
370
350
340
420
210
180
580
560
610
560
410
330




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'George Udny Yule' @ yule.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 2 seconds \tabularnewline
R Server & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=235556&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=235556&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=235556&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 Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'George Udny Yule' @ yule.wessa.net







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
1330NANA-71.9227NA
2310NANA-11.454NA
3310NANA-113.329NA
4380NANA37.1918NA
5330NANA-167.444NA
6250NANA-109.006NA
7370393.546361.2532.296-23.546
8380502.713359.583143.129-122.713
9430496.931359.167137.765-66.9314
10360453.234358.33394.9002-93.2335
11440420.734359.16761.566819.2665
12480329.223362.917-33.6936150.777
13260294.327366.25-71.9227-34.3273
14340358.546370-11.454-18.546
15270263.338376.667-113.3296.66233
16400418.859381.66737.1918-18.8585
17330216.306383.75-167.444113.694
18340273.077382.083-109.00666.9227
19360414.796382.532.296-54.796
20480526.463383.333143.129-46.4627
21490519.848382.083137.765-29.8481
22420473.65378.7594.9002-53.6502
23430434.484372.91761.5668-4.48351
24450335.89369.583-33.6936114.11
25300296.827368.75-71.92273.17274
26320357.713369.167-11.454-37.7127
27260260.004373.333-113.329-0.00434028
28330415.109377.91737.1918-85.1085
29260211.306378.75-167.44448.6936
30330265.577374.583-109.00664.4227
31350402.29637032.296-52.296
32500513.963370.833143.129-13.9627
33570510.265372.5137.76559.7352
34450469.067374.16794.9002-19.0668
35420434.9373.33361.5668-14.9002
36360336.723370.417-33.693623.2769
37280299.744371.667-71.9227-19.7439
38360361.046372.5-11.454-1.04601
39260258.338371.667-113.3291.66233
40370408.859371.66737.1918-38.8585
41200205.89373.333-167.444-5.88976
42320264.327373.333-109.00655.6727
43390405.213372.91732.296-15.2127
44480519.379376.25143.129-39.3793
45570514.848377.083137.76555.1519
46450474.067379.16794.9002-24.0668
47460445.317383.7561.566814.6832
48320350.89384.583-33.6936-30.8898
49310313.911385.833-71.9227-3.91059
50410378.546390-11.45431.454
51230274.171387.5-113.329-44.171
52450418.859381.66737.191831.1415
53230214.223381.667-167.44415.7769
54310273.494382.5-109.00636.5061
55430414.796382.532.29615.204
56540524.379381.25143.12915.6207
57450516.931379.167137.765-66.9314
58430473.234378.33394.9002-43.2335
59480435.317373.7561.566844.6832
60320331.306365-33.6936-11.3064
61310288.077360-71.922721.9227
62380352.713364.167-11.45427.2873
63210258.338371.667-113.329-48.3377
64450414.692377.537.191835.3082
65120212.14379.583-167.444-92.1398
66210268.077377.083-109.006-58.0773
67410408.546376.2532.2961.45399
68660519.796376.667143.129140.204
69510516.515378.75137.765-6.51476
70510479.067384.16794.900230.9332
71450451.56739061.5668-1.56684
72290360.89394.583-33.6936-70.8898
73320326.827398.75-71.9227-6.82726
74380387.713399.167-11.454-7.71267
75260285.421398.75-113.329-25.421
76530441.359404.16737.191888.6415
77180241.306408.75-167.444-61.3064
78260300.161409.167-109.006-40.1606
79460441.879409.58332.29618.1207
80620555.629412.5143.12964.3707
81540556.515418.75137.765-16.5148
82610514.067419.16794.900295.9332
83460479.9418.33361.5668-19.9002
84290387.973421.667-33.6936-97.9731
85330353.911425.833-71.9227-23.9106
86440414.379425.833-11.45425.6207
87350311.671425-113.32938.329
88450463.859426.66737.1918-13.8585
89240256.306423.75-167.444-16.3064
90280311.827420.833-109.006-31.8273
91540453.963421.66732.29686.0373
92540562.713419.583143.129-22.7127
93600553.181415.417137.76546.8186
94590508.65413.7594.900281.3498
95410472.817411.2561.5668-62.8168
96270372.14405.833-33.6936-102.14
97370331.411403.333-71.922738.5894
98350394.379405.833-11.454-44.3793
99340293.754407.083-113.32946.2457
100420443.442406.2537.1918-23.4418
101210237.556405-167.444-27.5564
102180298.494407.5-109.006-118.494
103580NANA32.296NA
104560NANA143.129NA
105610NANA137.765NA
106560NANA94.9002NA
107410NANA61.5668NA
108330NANA-33.6936NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 330 & NA & NA & -71.9227 & NA \tabularnewline
2 & 310 & NA & NA & -11.454 & NA \tabularnewline
3 & 310 & NA & NA & -113.329 & NA \tabularnewline
4 & 380 & NA & NA & 37.1918 & NA \tabularnewline
5 & 330 & NA & NA & -167.444 & NA \tabularnewline
6 & 250 & NA & NA & -109.006 & NA \tabularnewline
7 & 370 & 393.546 & 361.25 & 32.296 & -23.546 \tabularnewline
8 & 380 & 502.713 & 359.583 & 143.129 & -122.713 \tabularnewline
9 & 430 & 496.931 & 359.167 & 137.765 & -66.9314 \tabularnewline
10 & 360 & 453.234 & 358.333 & 94.9002 & -93.2335 \tabularnewline
11 & 440 & 420.734 & 359.167 & 61.5668 & 19.2665 \tabularnewline
12 & 480 & 329.223 & 362.917 & -33.6936 & 150.777 \tabularnewline
13 & 260 & 294.327 & 366.25 & -71.9227 & -34.3273 \tabularnewline
14 & 340 & 358.546 & 370 & -11.454 & -18.546 \tabularnewline
15 & 270 & 263.338 & 376.667 & -113.329 & 6.66233 \tabularnewline
16 & 400 & 418.859 & 381.667 & 37.1918 & -18.8585 \tabularnewline
17 & 330 & 216.306 & 383.75 & -167.444 & 113.694 \tabularnewline
18 & 340 & 273.077 & 382.083 & -109.006 & 66.9227 \tabularnewline
19 & 360 & 414.796 & 382.5 & 32.296 & -54.796 \tabularnewline
20 & 480 & 526.463 & 383.333 & 143.129 & -46.4627 \tabularnewline
21 & 490 & 519.848 & 382.083 & 137.765 & -29.8481 \tabularnewline
22 & 420 & 473.65 & 378.75 & 94.9002 & -53.6502 \tabularnewline
23 & 430 & 434.484 & 372.917 & 61.5668 & -4.48351 \tabularnewline
24 & 450 & 335.89 & 369.583 & -33.6936 & 114.11 \tabularnewline
25 & 300 & 296.827 & 368.75 & -71.9227 & 3.17274 \tabularnewline
26 & 320 & 357.713 & 369.167 & -11.454 & -37.7127 \tabularnewline
27 & 260 & 260.004 & 373.333 & -113.329 & -0.00434028 \tabularnewline
28 & 330 & 415.109 & 377.917 & 37.1918 & -85.1085 \tabularnewline
29 & 260 & 211.306 & 378.75 & -167.444 & 48.6936 \tabularnewline
30 & 330 & 265.577 & 374.583 & -109.006 & 64.4227 \tabularnewline
31 & 350 & 402.296 & 370 & 32.296 & -52.296 \tabularnewline
32 & 500 & 513.963 & 370.833 & 143.129 & -13.9627 \tabularnewline
33 & 570 & 510.265 & 372.5 & 137.765 & 59.7352 \tabularnewline
34 & 450 & 469.067 & 374.167 & 94.9002 & -19.0668 \tabularnewline
35 & 420 & 434.9 & 373.333 & 61.5668 & -14.9002 \tabularnewline
36 & 360 & 336.723 & 370.417 & -33.6936 & 23.2769 \tabularnewline
37 & 280 & 299.744 & 371.667 & -71.9227 & -19.7439 \tabularnewline
38 & 360 & 361.046 & 372.5 & -11.454 & -1.04601 \tabularnewline
39 & 260 & 258.338 & 371.667 & -113.329 & 1.66233 \tabularnewline
40 & 370 & 408.859 & 371.667 & 37.1918 & -38.8585 \tabularnewline
41 & 200 & 205.89 & 373.333 & -167.444 & -5.88976 \tabularnewline
42 & 320 & 264.327 & 373.333 & -109.006 & 55.6727 \tabularnewline
43 & 390 & 405.213 & 372.917 & 32.296 & -15.2127 \tabularnewline
44 & 480 & 519.379 & 376.25 & 143.129 & -39.3793 \tabularnewline
45 & 570 & 514.848 & 377.083 & 137.765 & 55.1519 \tabularnewline
46 & 450 & 474.067 & 379.167 & 94.9002 & -24.0668 \tabularnewline
47 & 460 & 445.317 & 383.75 & 61.5668 & 14.6832 \tabularnewline
48 & 320 & 350.89 & 384.583 & -33.6936 & -30.8898 \tabularnewline
49 & 310 & 313.911 & 385.833 & -71.9227 & -3.91059 \tabularnewline
50 & 410 & 378.546 & 390 & -11.454 & 31.454 \tabularnewline
51 & 230 & 274.171 & 387.5 & -113.329 & -44.171 \tabularnewline
52 & 450 & 418.859 & 381.667 & 37.1918 & 31.1415 \tabularnewline
53 & 230 & 214.223 & 381.667 & -167.444 & 15.7769 \tabularnewline
54 & 310 & 273.494 & 382.5 & -109.006 & 36.5061 \tabularnewline
55 & 430 & 414.796 & 382.5 & 32.296 & 15.204 \tabularnewline
56 & 540 & 524.379 & 381.25 & 143.129 & 15.6207 \tabularnewline
57 & 450 & 516.931 & 379.167 & 137.765 & -66.9314 \tabularnewline
58 & 430 & 473.234 & 378.333 & 94.9002 & -43.2335 \tabularnewline
59 & 480 & 435.317 & 373.75 & 61.5668 & 44.6832 \tabularnewline
60 & 320 & 331.306 & 365 & -33.6936 & -11.3064 \tabularnewline
61 & 310 & 288.077 & 360 & -71.9227 & 21.9227 \tabularnewline
62 & 380 & 352.713 & 364.167 & -11.454 & 27.2873 \tabularnewline
63 & 210 & 258.338 & 371.667 & -113.329 & -48.3377 \tabularnewline
64 & 450 & 414.692 & 377.5 & 37.1918 & 35.3082 \tabularnewline
65 & 120 & 212.14 & 379.583 & -167.444 & -92.1398 \tabularnewline
66 & 210 & 268.077 & 377.083 & -109.006 & -58.0773 \tabularnewline
67 & 410 & 408.546 & 376.25 & 32.296 & 1.45399 \tabularnewline
68 & 660 & 519.796 & 376.667 & 143.129 & 140.204 \tabularnewline
69 & 510 & 516.515 & 378.75 & 137.765 & -6.51476 \tabularnewline
70 & 510 & 479.067 & 384.167 & 94.9002 & 30.9332 \tabularnewline
71 & 450 & 451.567 & 390 & 61.5668 & -1.56684 \tabularnewline
72 & 290 & 360.89 & 394.583 & -33.6936 & -70.8898 \tabularnewline
73 & 320 & 326.827 & 398.75 & -71.9227 & -6.82726 \tabularnewline
74 & 380 & 387.713 & 399.167 & -11.454 & -7.71267 \tabularnewline
75 & 260 & 285.421 & 398.75 & -113.329 & -25.421 \tabularnewline
76 & 530 & 441.359 & 404.167 & 37.1918 & 88.6415 \tabularnewline
77 & 180 & 241.306 & 408.75 & -167.444 & -61.3064 \tabularnewline
78 & 260 & 300.161 & 409.167 & -109.006 & -40.1606 \tabularnewline
79 & 460 & 441.879 & 409.583 & 32.296 & 18.1207 \tabularnewline
80 & 620 & 555.629 & 412.5 & 143.129 & 64.3707 \tabularnewline
81 & 540 & 556.515 & 418.75 & 137.765 & -16.5148 \tabularnewline
82 & 610 & 514.067 & 419.167 & 94.9002 & 95.9332 \tabularnewline
83 & 460 & 479.9 & 418.333 & 61.5668 & -19.9002 \tabularnewline
84 & 290 & 387.973 & 421.667 & -33.6936 & -97.9731 \tabularnewline
85 & 330 & 353.911 & 425.833 & -71.9227 & -23.9106 \tabularnewline
86 & 440 & 414.379 & 425.833 & -11.454 & 25.6207 \tabularnewline
87 & 350 & 311.671 & 425 & -113.329 & 38.329 \tabularnewline
88 & 450 & 463.859 & 426.667 & 37.1918 & -13.8585 \tabularnewline
89 & 240 & 256.306 & 423.75 & -167.444 & -16.3064 \tabularnewline
90 & 280 & 311.827 & 420.833 & -109.006 & -31.8273 \tabularnewline
91 & 540 & 453.963 & 421.667 & 32.296 & 86.0373 \tabularnewline
92 & 540 & 562.713 & 419.583 & 143.129 & -22.7127 \tabularnewline
93 & 600 & 553.181 & 415.417 & 137.765 & 46.8186 \tabularnewline
94 & 590 & 508.65 & 413.75 & 94.9002 & 81.3498 \tabularnewline
95 & 410 & 472.817 & 411.25 & 61.5668 & -62.8168 \tabularnewline
96 & 270 & 372.14 & 405.833 & -33.6936 & -102.14 \tabularnewline
97 & 370 & 331.411 & 403.333 & -71.9227 & 38.5894 \tabularnewline
98 & 350 & 394.379 & 405.833 & -11.454 & -44.3793 \tabularnewline
99 & 340 & 293.754 & 407.083 & -113.329 & 46.2457 \tabularnewline
100 & 420 & 443.442 & 406.25 & 37.1918 & -23.4418 \tabularnewline
101 & 210 & 237.556 & 405 & -167.444 & -27.5564 \tabularnewline
102 & 180 & 298.494 & 407.5 & -109.006 & -118.494 \tabularnewline
103 & 580 & NA & NA & 32.296 & NA \tabularnewline
104 & 560 & NA & NA & 143.129 & NA \tabularnewline
105 & 610 & NA & NA & 137.765 & NA \tabularnewline
106 & 560 & NA & NA & 94.9002 & NA \tabularnewline
107 & 410 & NA & NA & 61.5668 & NA \tabularnewline
108 & 330 & NA & NA & -33.6936 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=235556&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]330[/C][C]NA[/C][C]NA[/C][C]-71.9227[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]310[/C][C]NA[/C][C]NA[/C][C]-11.454[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]310[/C][C]NA[/C][C]NA[/C][C]-113.329[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]380[/C][C]NA[/C][C]NA[/C][C]37.1918[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]330[/C][C]NA[/C][C]NA[/C][C]-167.444[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]250[/C][C]NA[/C][C]NA[/C][C]-109.006[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]370[/C][C]393.546[/C][C]361.25[/C][C]32.296[/C][C]-23.546[/C][/ROW]
[ROW][C]8[/C][C]380[/C][C]502.713[/C][C]359.583[/C][C]143.129[/C][C]-122.713[/C][/ROW]
[ROW][C]9[/C][C]430[/C][C]496.931[/C][C]359.167[/C][C]137.765[/C][C]-66.9314[/C][/ROW]
[ROW][C]10[/C][C]360[/C][C]453.234[/C][C]358.333[/C][C]94.9002[/C][C]-93.2335[/C][/ROW]
[ROW][C]11[/C][C]440[/C][C]420.734[/C][C]359.167[/C][C]61.5668[/C][C]19.2665[/C][/ROW]
[ROW][C]12[/C][C]480[/C][C]329.223[/C][C]362.917[/C][C]-33.6936[/C][C]150.777[/C][/ROW]
[ROW][C]13[/C][C]260[/C][C]294.327[/C][C]366.25[/C][C]-71.9227[/C][C]-34.3273[/C][/ROW]
[ROW][C]14[/C][C]340[/C][C]358.546[/C][C]370[/C][C]-11.454[/C][C]-18.546[/C][/ROW]
[ROW][C]15[/C][C]270[/C][C]263.338[/C][C]376.667[/C][C]-113.329[/C][C]6.66233[/C][/ROW]
[ROW][C]16[/C][C]400[/C][C]418.859[/C][C]381.667[/C][C]37.1918[/C][C]-18.8585[/C][/ROW]
[ROW][C]17[/C][C]330[/C][C]216.306[/C][C]383.75[/C][C]-167.444[/C][C]113.694[/C][/ROW]
[ROW][C]18[/C][C]340[/C][C]273.077[/C][C]382.083[/C][C]-109.006[/C][C]66.9227[/C][/ROW]
[ROW][C]19[/C][C]360[/C][C]414.796[/C][C]382.5[/C][C]32.296[/C][C]-54.796[/C][/ROW]
[ROW][C]20[/C][C]480[/C][C]526.463[/C][C]383.333[/C][C]143.129[/C][C]-46.4627[/C][/ROW]
[ROW][C]21[/C][C]490[/C][C]519.848[/C][C]382.083[/C][C]137.765[/C][C]-29.8481[/C][/ROW]
[ROW][C]22[/C][C]420[/C][C]473.65[/C][C]378.75[/C][C]94.9002[/C][C]-53.6502[/C][/ROW]
[ROW][C]23[/C][C]430[/C][C]434.484[/C][C]372.917[/C][C]61.5668[/C][C]-4.48351[/C][/ROW]
[ROW][C]24[/C][C]450[/C][C]335.89[/C][C]369.583[/C][C]-33.6936[/C][C]114.11[/C][/ROW]
[ROW][C]25[/C][C]300[/C][C]296.827[/C][C]368.75[/C][C]-71.9227[/C][C]3.17274[/C][/ROW]
[ROW][C]26[/C][C]320[/C][C]357.713[/C][C]369.167[/C][C]-11.454[/C][C]-37.7127[/C][/ROW]
[ROW][C]27[/C][C]260[/C][C]260.004[/C][C]373.333[/C][C]-113.329[/C][C]-0.00434028[/C][/ROW]
[ROW][C]28[/C][C]330[/C][C]415.109[/C][C]377.917[/C][C]37.1918[/C][C]-85.1085[/C][/ROW]
[ROW][C]29[/C][C]260[/C][C]211.306[/C][C]378.75[/C][C]-167.444[/C][C]48.6936[/C][/ROW]
[ROW][C]30[/C][C]330[/C][C]265.577[/C][C]374.583[/C][C]-109.006[/C][C]64.4227[/C][/ROW]
[ROW][C]31[/C][C]350[/C][C]402.296[/C][C]370[/C][C]32.296[/C][C]-52.296[/C][/ROW]
[ROW][C]32[/C][C]500[/C][C]513.963[/C][C]370.833[/C][C]143.129[/C][C]-13.9627[/C][/ROW]
[ROW][C]33[/C][C]570[/C][C]510.265[/C][C]372.5[/C][C]137.765[/C][C]59.7352[/C][/ROW]
[ROW][C]34[/C][C]450[/C][C]469.067[/C][C]374.167[/C][C]94.9002[/C][C]-19.0668[/C][/ROW]
[ROW][C]35[/C][C]420[/C][C]434.9[/C][C]373.333[/C][C]61.5668[/C][C]-14.9002[/C][/ROW]
[ROW][C]36[/C][C]360[/C][C]336.723[/C][C]370.417[/C][C]-33.6936[/C][C]23.2769[/C][/ROW]
[ROW][C]37[/C][C]280[/C][C]299.744[/C][C]371.667[/C][C]-71.9227[/C][C]-19.7439[/C][/ROW]
[ROW][C]38[/C][C]360[/C][C]361.046[/C][C]372.5[/C][C]-11.454[/C][C]-1.04601[/C][/ROW]
[ROW][C]39[/C][C]260[/C][C]258.338[/C][C]371.667[/C][C]-113.329[/C][C]1.66233[/C][/ROW]
[ROW][C]40[/C][C]370[/C][C]408.859[/C][C]371.667[/C][C]37.1918[/C][C]-38.8585[/C][/ROW]
[ROW][C]41[/C][C]200[/C][C]205.89[/C][C]373.333[/C][C]-167.444[/C][C]-5.88976[/C][/ROW]
[ROW][C]42[/C][C]320[/C][C]264.327[/C][C]373.333[/C][C]-109.006[/C][C]55.6727[/C][/ROW]
[ROW][C]43[/C][C]390[/C][C]405.213[/C][C]372.917[/C][C]32.296[/C][C]-15.2127[/C][/ROW]
[ROW][C]44[/C][C]480[/C][C]519.379[/C][C]376.25[/C][C]143.129[/C][C]-39.3793[/C][/ROW]
[ROW][C]45[/C][C]570[/C][C]514.848[/C][C]377.083[/C][C]137.765[/C][C]55.1519[/C][/ROW]
[ROW][C]46[/C][C]450[/C][C]474.067[/C][C]379.167[/C][C]94.9002[/C][C]-24.0668[/C][/ROW]
[ROW][C]47[/C][C]460[/C][C]445.317[/C][C]383.75[/C][C]61.5668[/C][C]14.6832[/C][/ROW]
[ROW][C]48[/C][C]320[/C][C]350.89[/C][C]384.583[/C][C]-33.6936[/C][C]-30.8898[/C][/ROW]
[ROW][C]49[/C][C]310[/C][C]313.911[/C][C]385.833[/C][C]-71.9227[/C][C]-3.91059[/C][/ROW]
[ROW][C]50[/C][C]410[/C][C]378.546[/C][C]390[/C][C]-11.454[/C][C]31.454[/C][/ROW]
[ROW][C]51[/C][C]230[/C][C]274.171[/C][C]387.5[/C][C]-113.329[/C][C]-44.171[/C][/ROW]
[ROW][C]52[/C][C]450[/C][C]418.859[/C][C]381.667[/C][C]37.1918[/C][C]31.1415[/C][/ROW]
[ROW][C]53[/C][C]230[/C][C]214.223[/C][C]381.667[/C][C]-167.444[/C][C]15.7769[/C][/ROW]
[ROW][C]54[/C][C]310[/C][C]273.494[/C][C]382.5[/C][C]-109.006[/C][C]36.5061[/C][/ROW]
[ROW][C]55[/C][C]430[/C][C]414.796[/C][C]382.5[/C][C]32.296[/C][C]15.204[/C][/ROW]
[ROW][C]56[/C][C]540[/C][C]524.379[/C][C]381.25[/C][C]143.129[/C][C]15.6207[/C][/ROW]
[ROW][C]57[/C][C]450[/C][C]516.931[/C][C]379.167[/C][C]137.765[/C][C]-66.9314[/C][/ROW]
[ROW][C]58[/C][C]430[/C][C]473.234[/C][C]378.333[/C][C]94.9002[/C][C]-43.2335[/C][/ROW]
[ROW][C]59[/C][C]480[/C][C]435.317[/C][C]373.75[/C][C]61.5668[/C][C]44.6832[/C][/ROW]
[ROW][C]60[/C][C]320[/C][C]331.306[/C][C]365[/C][C]-33.6936[/C][C]-11.3064[/C][/ROW]
[ROW][C]61[/C][C]310[/C][C]288.077[/C][C]360[/C][C]-71.9227[/C][C]21.9227[/C][/ROW]
[ROW][C]62[/C][C]380[/C][C]352.713[/C][C]364.167[/C][C]-11.454[/C][C]27.2873[/C][/ROW]
[ROW][C]63[/C][C]210[/C][C]258.338[/C][C]371.667[/C][C]-113.329[/C][C]-48.3377[/C][/ROW]
[ROW][C]64[/C][C]450[/C][C]414.692[/C][C]377.5[/C][C]37.1918[/C][C]35.3082[/C][/ROW]
[ROW][C]65[/C][C]120[/C][C]212.14[/C][C]379.583[/C][C]-167.444[/C][C]-92.1398[/C][/ROW]
[ROW][C]66[/C][C]210[/C][C]268.077[/C][C]377.083[/C][C]-109.006[/C][C]-58.0773[/C][/ROW]
[ROW][C]67[/C][C]410[/C][C]408.546[/C][C]376.25[/C][C]32.296[/C][C]1.45399[/C][/ROW]
[ROW][C]68[/C][C]660[/C][C]519.796[/C][C]376.667[/C][C]143.129[/C][C]140.204[/C][/ROW]
[ROW][C]69[/C][C]510[/C][C]516.515[/C][C]378.75[/C][C]137.765[/C][C]-6.51476[/C][/ROW]
[ROW][C]70[/C][C]510[/C][C]479.067[/C][C]384.167[/C][C]94.9002[/C][C]30.9332[/C][/ROW]
[ROW][C]71[/C][C]450[/C][C]451.567[/C][C]390[/C][C]61.5668[/C][C]-1.56684[/C][/ROW]
[ROW][C]72[/C][C]290[/C][C]360.89[/C][C]394.583[/C][C]-33.6936[/C][C]-70.8898[/C][/ROW]
[ROW][C]73[/C][C]320[/C][C]326.827[/C][C]398.75[/C][C]-71.9227[/C][C]-6.82726[/C][/ROW]
[ROW][C]74[/C][C]380[/C][C]387.713[/C][C]399.167[/C][C]-11.454[/C][C]-7.71267[/C][/ROW]
[ROW][C]75[/C][C]260[/C][C]285.421[/C][C]398.75[/C][C]-113.329[/C][C]-25.421[/C][/ROW]
[ROW][C]76[/C][C]530[/C][C]441.359[/C][C]404.167[/C][C]37.1918[/C][C]88.6415[/C][/ROW]
[ROW][C]77[/C][C]180[/C][C]241.306[/C][C]408.75[/C][C]-167.444[/C][C]-61.3064[/C][/ROW]
[ROW][C]78[/C][C]260[/C][C]300.161[/C][C]409.167[/C][C]-109.006[/C][C]-40.1606[/C][/ROW]
[ROW][C]79[/C][C]460[/C][C]441.879[/C][C]409.583[/C][C]32.296[/C][C]18.1207[/C][/ROW]
[ROW][C]80[/C][C]620[/C][C]555.629[/C][C]412.5[/C][C]143.129[/C][C]64.3707[/C][/ROW]
[ROW][C]81[/C][C]540[/C][C]556.515[/C][C]418.75[/C][C]137.765[/C][C]-16.5148[/C][/ROW]
[ROW][C]82[/C][C]610[/C][C]514.067[/C][C]419.167[/C][C]94.9002[/C][C]95.9332[/C][/ROW]
[ROW][C]83[/C][C]460[/C][C]479.9[/C][C]418.333[/C][C]61.5668[/C][C]-19.9002[/C][/ROW]
[ROW][C]84[/C][C]290[/C][C]387.973[/C][C]421.667[/C][C]-33.6936[/C][C]-97.9731[/C][/ROW]
[ROW][C]85[/C][C]330[/C][C]353.911[/C][C]425.833[/C][C]-71.9227[/C][C]-23.9106[/C][/ROW]
[ROW][C]86[/C][C]440[/C][C]414.379[/C][C]425.833[/C][C]-11.454[/C][C]25.6207[/C][/ROW]
[ROW][C]87[/C][C]350[/C][C]311.671[/C][C]425[/C][C]-113.329[/C][C]38.329[/C][/ROW]
[ROW][C]88[/C][C]450[/C][C]463.859[/C][C]426.667[/C][C]37.1918[/C][C]-13.8585[/C][/ROW]
[ROW][C]89[/C][C]240[/C][C]256.306[/C][C]423.75[/C][C]-167.444[/C][C]-16.3064[/C][/ROW]
[ROW][C]90[/C][C]280[/C][C]311.827[/C][C]420.833[/C][C]-109.006[/C][C]-31.8273[/C][/ROW]
[ROW][C]91[/C][C]540[/C][C]453.963[/C][C]421.667[/C][C]32.296[/C][C]86.0373[/C][/ROW]
[ROW][C]92[/C][C]540[/C][C]562.713[/C][C]419.583[/C][C]143.129[/C][C]-22.7127[/C][/ROW]
[ROW][C]93[/C][C]600[/C][C]553.181[/C][C]415.417[/C][C]137.765[/C][C]46.8186[/C][/ROW]
[ROW][C]94[/C][C]590[/C][C]508.65[/C][C]413.75[/C][C]94.9002[/C][C]81.3498[/C][/ROW]
[ROW][C]95[/C][C]410[/C][C]472.817[/C][C]411.25[/C][C]61.5668[/C][C]-62.8168[/C][/ROW]
[ROW][C]96[/C][C]270[/C][C]372.14[/C][C]405.833[/C][C]-33.6936[/C][C]-102.14[/C][/ROW]
[ROW][C]97[/C][C]370[/C][C]331.411[/C][C]403.333[/C][C]-71.9227[/C][C]38.5894[/C][/ROW]
[ROW][C]98[/C][C]350[/C][C]394.379[/C][C]405.833[/C][C]-11.454[/C][C]-44.3793[/C][/ROW]
[ROW][C]99[/C][C]340[/C][C]293.754[/C][C]407.083[/C][C]-113.329[/C][C]46.2457[/C][/ROW]
[ROW][C]100[/C][C]420[/C][C]443.442[/C][C]406.25[/C][C]37.1918[/C][C]-23.4418[/C][/ROW]
[ROW][C]101[/C][C]210[/C][C]237.556[/C][C]405[/C][C]-167.444[/C][C]-27.5564[/C][/ROW]
[ROW][C]102[/C][C]180[/C][C]298.494[/C][C]407.5[/C][C]-109.006[/C][C]-118.494[/C][/ROW]
[ROW][C]103[/C][C]580[/C][C]NA[/C][C]NA[/C][C]32.296[/C][C]NA[/C][/ROW]
[ROW][C]104[/C][C]560[/C][C]NA[/C][C]NA[/C][C]143.129[/C][C]NA[/C][/ROW]
[ROW][C]105[/C][C]610[/C][C]NA[/C][C]NA[/C][C]137.765[/C][C]NA[/C][/ROW]
[ROW][C]106[/C][C]560[/C][C]NA[/C][C]NA[/C][C]94.9002[/C][C]NA[/C][/ROW]
[ROW][C]107[/C][C]410[/C][C]NA[/C][C]NA[/C][C]61.5668[/C][C]NA[/C][/ROW]
[ROW][C]108[/C][C]330[/C][C]NA[/C][C]NA[/C][C]-33.6936[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=235556&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=235556&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
1330NANA-71.9227NA
2310NANA-11.454NA
3310NANA-113.329NA
4380NANA37.1918NA
5330NANA-167.444NA
6250NANA-109.006NA
7370393.546361.2532.296-23.546
8380502.713359.583143.129-122.713
9430496.931359.167137.765-66.9314
10360453.234358.33394.9002-93.2335
11440420.734359.16761.566819.2665
12480329.223362.917-33.6936150.777
13260294.327366.25-71.9227-34.3273
14340358.546370-11.454-18.546
15270263.338376.667-113.3296.66233
16400418.859381.66737.1918-18.8585
17330216.306383.75-167.444113.694
18340273.077382.083-109.00666.9227
19360414.796382.532.296-54.796
20480526.463383.333143.129-46.4627
21490519.848382.083137.765-29.8481
22420473.65378.7594.9002-53.6502
23430434.484372.91761.5668-4.48351
24450335.89369.583-33.6936114.11
25300296.827368.75-71.92273.17274
26320357.713369.167-11.454-37.7127
27260260.004373.333-113.329-0.00434028
28330415.109377.91737.1918-85.1085
29260211.306378.75-167.44448.6936
30330265.577374.583-109.00664.4227
31350402.29637032.296-52.296
32500513.963370.833143.129-13.9627
33570510.265372.5137.76559.7352
34450469.067374.16794.9002-19.0668
35420434.9373.33361.5668-14.9002
36360336.723370.417-33.693623.2769
37280299.744371.667-71.9227-19.7439
38360361.046372.5-11.454-1.04601
39260258.338371.667-113.3291.66233
40370408.859371.66737.1918-38.8585
41200205.89373.333-167.444-5.88976
42320264.327373.333-109.00655.6727
43390405.213372.91732.296-15.2127
44480519.379376.25143.129-39.3793
45570514.848377.083137.76555.1519
46450474.067379.16794.9002-24.0668
47460445.317383.7561.566814.6832
48320350.89384.583-33.6936-30.8898
49310313.911385.833-71.9227-3.91059
50410378.546390-11.45431.454
51230274.171387.5-113.329-44.171
52450418.859381.66737.191831.1415
53230214.223381.667-167.44415.7769
54310273.494382.5-109.00636.5061
55430414.796382.532.29615.204
56540524.379381.25143.12915.6207
57450516.931379.167137.765-66.9314
58430473.234378.33394.9002-43.2335
59480435.317373.7561.566844.6832
60320331.306365-33.6936-11.3064
61310288.077360-71.922721.9227
62380352.713364.167-11.45427.2873
63210258.338371.667-113.329-48.3377
64450414.692377.537.191835.3082
65120212.14379.583-167.444-92.1398
66210268.077377.083-109.006-58.0773
67410408.546376.2532.2961.45399
68660519.796376.667143.129140.204
69510516.515378.75137.765-6.51476
70510479.067384.16794.900230.9332
71450451.56739061.5668-1.56684
72290360.89394.583-33.6936-70.8898
73320326.827398.75-71.9227-6.82726
74380387.713399.167-11.454-7.71267
75260285.421398.75-113.329-25.421
76530441.359404.16737.191888.6415
77180241.306408.75-167.444-61.3064
78260300.161409.167-109.006-40.1606
79460441.879409.58332.29618.1207
80620555.629412.5143.12964.3707
81540556.515418.75137.765-16.5148
82610514.067419.16794.900295.9332
83460479.9418.33361.5668-19.9002
84290387.973421.667-33.6936-97.9731
85330353.911425.833-71.9227-23.9106
86440414.379425.833-11.45425.6207
87350311.671425-113.32938.329
88450463.859426.66737.1918-13.8585
89240256.306423.75-167.444-16.3064
90280311.827420.833-109.006-31.8273
91540453.963421.66732.29686.0373
92540562.713419.583143.129-22.7127
93600553.181415.417137.76546.8186
94590508.65413.7594.900281.3498
95410472.817411.2561.5668-62.8168
96270372.14405.833-33.6936-102.14
97370331.411403.333-71.922738.5894
98350394.379405.833-11.454-44.3793
99340293.754407.083-113.32946.2457
100420443.442406.2537.1918-23.4418
101210237.556405-167.444-27.5564
102180298.494407.5-109.006-118.494
103580NANA32.296NA
104560NANA143.129NA
105610NANA137.765NA
106560NANA94.9002NA
107410NANA61.5668NA
108330NANA-33.6936NA



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')