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Author's title

Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationTue, 05 Aug 2014 15:26:32 +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/05/t1407249254v1jne7q7errgwpx.htm/, Retrieved Thu, 16 May 2024 10:26:37 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=235412, Retrieved Thu, 16 May 2024 10:26:37 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsInes Van Dessel
Estimated Impact131
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Histogram] [Tijdreeks 1 - Stap 3] [2014-08-03 19:11:32] [ae3d1feb555b13e324db089723206180]
- R P   [Histogram] [Tijdreeks 1 - Stap 5] [2014-08-04 09:44:37] [74be16979710d4c4e7c6647856088456]
-   P     [Histogram] [Tijdreeks 1 - Stap 5] [2014-08-04 09:47:49] [74be16979710d4c4e7c6647856088456]
- RMP       [(Partial) Autocorrelation Function] [Tijdreeks 1 - Sta...] [2014-08-04 16:49:46] [ae3d1feb555b13e324db089723206180]
- R P         [(Partial) Autocorrelation Function] [Tijdreeks 1 - Sta...] [2014-08-05 08:15:03] [74be16979710d4c4e7c6647856088456]
- RMPD          [Harrell-Davis Quantiles] [Tijdreeks 2 - Stap 6] [2014-08-05 08:50:48] [ae3d1feb555b13e324db089723206180]
- RMP             [(Partial) Autocorrelation Function] [Tijdreeks 2 - Sta...] [2014-08-05 13:41:38] [ae3d1feb555b13e324db089723206180]
- RM                  [Classical Decomposition] [Tijdreeks 2 - Sta...] [2014-08-05 14:26:32] [188bf81caccb86647293be436f272d1b] [Current]
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Dataseries X:
340
307
380
347
313
333
347
333
387
307
353
407
307
253
380
320
353
353
387
280
387
307
347
427
253
240
407
293
347
360
387
240
333
353
313
440
273
240
407
240
360
373
387
320
373
373
260
420
253
293
413
207
333
440
280
367
380
373
193
373
213
293
407
167
340
447
233
393
333
353
200
413
187
300
413
213
373
453
247
447
340
320
187
380
160
307
400
213
380
453
260
467
380
300
180
427
153
327
393
207
380
440
247
400
360
340
220
393




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=235412&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=235412&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=235412&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
1340NANA-104.611NA
2307NANA-47.6892NA
3380NANA72.9774NA
4347NANA-97.0538NA
5313NANA29.217NA
6333NANA86.6076NA
7347330.509344.792-14.28316.4913
8333367.628341.16726.4618-34.6285
9387373.457338.91734.539913.5434
10307344.618337.7926.82639-37.6181
11353263.915338.333-74.418489.0851
12407422.259340.83381.4253-15.2587
13307238.722343.333-104.61168.2778
14253295.102342.792-47.6892-42.1024
15380413.561340.58372.9774-33.5608
16320243.53340.583-97.053876.4705
17353369.55340.33329.217-16.5503
18353427.524340.91786.6076-74.5243
19387325.217339.5-14.28361.783
20280363.17336.70826.4618-83.1701
21387371.832337.29234.539915.1684
22307344.118337.2926.82639-37.1181
23347261.498335.917-74.418485.5017
24427417.384335.95881.42539.61632
25253231.639336.25-104.61121.3611
26240286.894334.583-47.6892-46.8941
27407403.644330.66772.97743.3559
28293233.28330.333-97.053859.7205
29347360.05330.83329.217-13.0503
30360416.566329.95886.6076-56.566
31387317.05331.333-14.28369.9497
32240358.628332.16726.4618-118.628
33333366.707332.16734.5399-33.7066
34353336.785329.9586.8263916.2153
35313253.873328.292-74.418459.1267
36440410.8329.37581.425329.1997
37273225.306329.917-104.61147.6944
38240285.561333.25-47.6892-45.5608
39407411.227338.2572.9774-4.22743
40240243.696340.75-97.0538-3.69618
41360368.592339.37529.217-8.59201
42373422.941336.33386.6076-49.941
43387320.384334.667-14.28366.6163
44320362.503336.04226.4618-42.5035
45373373.04338.534.5399-0.0399306
46373344.201337.3756.8263928.7986
47260260.457334.875-74.4184-0.456597
48420417.967336.54281.42532.03299
49253230.264334.875-104.61122.7361
50293284.686332.375-47.68928.31424
51413407.602334.62572.97745.39757
52207237.863334.917-97.0538-30.8628
53333361.342332.12529.217-28.342
54440413.983327.37586.607626.0174
55280309.467323.75-14.283-29.467
56367348.545322.08326.461818.4549
57380356.373321.83334.539923.6267
58373326.743319.9176.8263946.2569
59193244.123318.542-74.4184-51.1233
60373400.55319.12581.4253-27.5503
61213212.847317.458-104.6110.152778
62293268.894316.583-47.689224.1059
63407388.686315.70872.977418.3142
64167215.863312.917-97.0538-48.8628
65340341.592312.37529.217-1.59201
66447400.941314.33386.607646.059
67233300.634314.917-14.283-67.6337
68393340.587314.12526.461852.4132
69333349.207314.66734.5399-16.2066
70353323.66316.8336.8263929.3403
71200245.707320.125-74.4184-45.7066
72413403.175321.7581.42539.82465
73187217.972322.583-104.611-30.9722
74300277.727325.417-47.689222.2726
75413400.936327.95872.977412.0642
76213229.821326.875-97.0538-16.8212
77373354.175324.95829.21718.8247
78453409.649323.04286.607643.3507
79247306.259320.542-14.283-59.2587
80447346.17319.70826.4618100.83
81340353.998319.45834.5399-13.9983
82320325.743318.9176.82639-5.74306
83187244.79319.208-74.4184-57.7899
84380400.925319.581.4253-20.9253
85160215.431320.042-104.611-55.4306
86307273.727321.417-47.689233.2726
87400396.894323.91772.97743.1059
88213227.696324.75-97.0538-14.6962
89380352.842323.62529.21727.158
90453411.899325.29286.607641.1007
91260312.675326.958-14.283-52.6753
92467353.962327.526.4618113.038
93380362.582328.04234.539917.4184
94300334.326327.56.82639-34.3264
95180252.832327.25-74.4184-72.8316
96427408.134326.70881.425318.8663
97153221.014325.625-104.611-68.0139
98327274.602322.292-47.689252.3976
99393391.644318.66772.97741.3559
100207222.446319.5-97.0538-15.4462
101380352.05322.83329.21727.9497
102440409.691323.08386.607630.309
103247NANA-14.283NA
104400NANA26.4618NA
105360NANA34.5399NA
106340NANA6.82639NA
107220NANA-74.4184NA
108393NANA81.4253NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 340 & NA & NA & -104.611 & NA \tabularnewline
2 & 307 & NA & NA & -47.6892 & NA \tabularnewline
3 & 380 & NA & NA & 72.9774 & NA \tabularnewline
4 & 347 & NA & NA & -97.0538 & NA \tabularnewline
5 & 313 & NA & NA & 29.217 & NA \tabularnewline
6 & 333 & NA & NA & 86.6076 & NA \tabularnewline
7 & 347 & 330.509 & 344.792 & -14.283 & 16.4913 \tabularnewline
8 & 333 & 367.628 & 341.167 & 26.4618 & -34.6285 \tabularnewline
9 & 387 & 373.457 & 338.917 & 34.5399 & 13.5434 \tabularnewline
10 & 307 & 344.618 & 337.792 & 6.82639 & -37.6181 \tabularnewline
11 & 353 & 263.915 & 338.333 & -74.4184 & 89.0851 \tabularnewline
12 & 407 & 422.259 & 340.833 & 81.4253 & -15.2587 \tabularnewline
13 & 307 & 238.722 & 343.333 & -104.611 & 68.2778 \tabularnewline
14 & 253 & 295.102 & 342.792 & -47.6892 & -42.1024 \tabularnewline
15 & 380 & 413.561 & 340.583 & 72.9774 & -33.5608 \tabularnewline
16 & 320 & 243.53 & 340.583 & -97.0538 & 76.4705 \tabularnewline
17 & 353 & 369.55 & 340.333 & 29.217 & -16.5503 \tabularnewline
18 & 353 & 427.524 & 340.917 & 86.6076 & -74.5243 \tabularnewline
19 & 387 & 325.217 & 339.5 & -14.283 & 61.783 \tabularnewline
20 & 280 & 363.17 & 336.708 & 26.4618 & -83.1701 \tabularnewline
21 & 387 & 371.832 & 337.292 & 34.5399 & 15.1684 \tabularnewline
22 & 307 & 344.118 & 337.292 & 6.82639 & -37.1181 \tabularnewline
23 & 347 & 261.498 & 335.917 & -74.4184 & 85.5017 \tabularnewline
24 & 427 & 417.384 & 335.958 & 81.4253 & 9.61632 \tabularnewline
25 & 253 & 231.639 & 336.25 & -104.611 & 21.3611 \tabularnewline
26 & 240 & 286.894 & 334.583 & -47.6892 & -46.8941 \tabularnewline
27 & 407 & 403.644 & 330.667 & 72.9774 & 3.3559 \tabularnewline
28 & 293 & 233.28 & 330.333 & -97.0538 & 59.7205 \tabularnewline
29 & 347 & 360.05 & 330.833 & 29.217 & -13.0503 \tabularnewline
30 & 360 & 416.566 & 329.958 & 86.6076 & -56.566 \tabularnewline
31 & 387 & 317.05 & 331.333 & -14.283 & 69.9497 \tabularnewline
32 & 240 & 358.628 & 332.167 & 26.4618 & -118.628 \tabularnewline
33 & 333 & 366.707 & 332.167 & 34.5399 & -33.7066 \tabularnewline
34 & 353 & 336.785 & 329.958 & 6.82639 & 16.2153 \tabularnewline
35 & 313 & 253.873 & 328.292 & -74.4184 & 59.1267 \tabularnewline
36 & 440 & 410.8 & 329.375 & 81.4253 & 29.1997 \tabularnewline
37 & 273 & 225.306 & 329.917 & -104.611 & 47.6944 \tabularnewline
38 & 240 & 285.561 & 333.25 & -47.6892 & -45.5608 \tabularnewline
39 & 407 & 411.227 & 338.25 & 72.9774 & -4.22743 \tabularnewline
40 & 240 & 243.696 & 340.75 & -97.0538 & -3.69618 \tabularnewline
41 & 360 & 368.592 & 339.375 & 29.217 & -8.59201 \tabularnewline
42 & 373 & 422.941 & 336.333 & 86.6076 & -49.941 \tabularnewline
43 & 387 & 320.384 & 334.667 & -14.283 & 66.6163 \tabularnewline
44 & 320 & 362.503 & 336.042 & 26.4618 & -42.5035 \tabularnewline
45 & 373 & 373.04 & 338.5 & 34.5399 & -0.0399306 \tabularnewline
46 & 373 & 344.201 & 337.375 & 6.82639 & 28.7986 \tabularnewline
47 & 260 & 260.457 & 334.875 & -74.4184 & -0.456597 \tabularnewline
48 & 420 & 417.967 & 336.542 & 81.4253 & 2.03299 \tabularnewline
49 & 253 & 230.264 & 334.875 & -104.611 & 22.7361 \tabularnewline
50 & 293 & 284.686 & 332.375 & -47.6892 & 8.31424 \tabularnewline
51 & 413 & 407.602 & 334.625 & 72.9774 & 5.39757 \tabularnewline
52 & 207 & 237.863 & 334.917 & -97.0538 & -30.8628 \tabularnewline
53 & 333 & 361.342 & 332.125 & 29.217 & -28.342 \tabularnewline
54 & 440 & 413.983 & 327.375 & 86.6076 & 26.0174 \tabularnewline
55 & 280 & 309.467 & 323.75 & -14.283 & -29.467 \tabularnewline
56 & 367 & 348.545 & 322.083 & 26.4618 & 18.4549 \tabularnewline
57 & 380 & 356.373 & 321.833 & 34.5399 & 23.6267 \tabularnewline
58 & 373 & 326.743 & 319.917 & 6.82639 & 46.2569 \tabularnewline
59 & 193 & 244.123 & 318.542 & -74.4184 & -51.1233 \tabularnewline
60 & 373 & 400.55 & 319.125 & 81.4253 & -27.5503 \tabularnewline
61 & 213 & 212.847 & 317.458 & -104.611 & 0.152778 \tabularnewline
62 & 293 & 268.894 & 316.583 & -47.6892 & 24.1059 \tabularnewline
63 & 407 & 388.686 & 315.708 & 72.9774 & 18.3142 \tabularnewline
64 & 167 & 215.863 & 312.917 & -97.0538 & -48.8628 \tabularnewline
65 & 340 & 341.592 & 312.375 & 29.217 & -1.59201 \tabularnewline
66 & 447 & 400.941 & 314.333 & 86.6076 & 46.059 \tabularnewline
67 & 233 & 300.634 & 314.917 & -14.283 & -67.6337 \tabularnewline
68 & 393 & 340.587 & 314.125 & 26.4618 & 52.4132 \tabularnewline
69 & 333 & 349.207 & 314.667 & 34.5399 & -16.2066 \tabularnewline
70 & 353 & 323.66 & 316.833 & 6.82639 & 29.3403 \tabularnewline
71 & 200 & 245.707 & 320.125 & -74.4184 & -45.7066 \tabularnewline
72 & 413 & 403.175 & 321.75 & 81.4253 & 9.82465 \tabularnewline
73 & 187 & 217.972 & 322.583 & -104.611 & -30.9722 \tabularnewline
74 & 300 & 277.727 & 325.417 & -47.6892 & 22.2726 \tabularnewline
75 & 413 & 400.936 & 327.958 & 72.9774 & 12.0642 \tabularnewline
76 & 213 & 229.821 & 326.875 & -97.0538 & -16.8212 \tabularnewline
77 & 373 & 354.175 & 324.958 & 29.217 & 18.8247 \tabularnewline
78 & 453 & 409.649 & 323.042 & 86.6076 & 43.3507 \tabularnewline
79 & 247 & 306.259 & 320.542 & -14.283 & -59.2587 \tabularnewline
80 & 447 & 346.17 & 319.708 & 26.4618 & 100.83 \tabularnewline
81 & 340 & 353.998 & 319.458 & 34.5399 & -13.9983 \tabularnewline
82 & 320 & 325.743 & 318.917 & 6.82639 & -5.74306 \tabularnewline
83 & 187 & 244.79 & 319.208 & -74.4184 & -57.7899 \tabularnewline
84 & 380 & 400.925 & 319.5 & 81.4253 & -20.9253 \tabularnewline
85 & 160 & 215.431 & 320.042 & -104.611 & -55.4306 \tabularnewline
86 & 307 & 273.727 & 321.417 & -47.6892 & 33.2726 \tabularnewline
87 & 400 & 396.894 & 323.917 & 72.9774 & 3.1059 \tabularnewline
88 & 213 & 227.696 & 324.75 & -97.0538 & -14.6962 \tabularnewline
89 & 380 & 352.842 & 323.625 & 29.217 & 27.158 \tabularnewline
90 & 453 & 411.899 & 325.292 & 86.6076 & 41.1007 \tabularnewline
91 & 260 & 312.675 & 326.958 & -14.283 & -52.6753 \tabularnewline
92 & 467 & 353.962 & 327.5 & 26.4618 & 113.038 \tabularnewline
93 & 380 & 362.582 & 328.042 & 34.5399 & 17.4184 \tabularnewline
94 & 300 & 334.326 & 327.5 & 6.82639 & -34.3264 \tabularnewline
95 & 180 & 252.832 & 327.25 & -74.4184 & -72.8316 \tabularnewline
96 & 427 & 408.134 & 326.708 & 81.4253 & 18.8663 \tabularnewline
97 & 153 & 221.014 & 325.625 & -104.611 & -68.0139 \tabularnewline
98 & 327 & 274.602 & 322.292 & -47.6892 & 52.3976 \tabularnewline
99 & 393 & 391.644 & 318.667 & 72.9774 & 1.3559 \tabularnewline
100 & 207 & 222.446 & 319.5 & -97.0538 & -15.4462 \tabularnewline
101 & 380 & 352.05 & 322.833 & 29.217 & 27.9497 \tabularnewline
102 & 440 & 409.691 & 323.083 & 86.6076 & 30.309 \tabularnewline
103 & 247 & NA & NA & -14.283 & NA \tabularnewline
104 & 400 & NA & NA & 26.4618 & NA \tabularnewline
105 & 360 & NA & NA & 34.5399 & NA \tabularnewline
106 & 340 & NA & NA & 6.82639 & NA \tabularnewline
107 & 220 & NA & NA & -74.4184 & NA \tabularnewline
108 & 393 & NA & NA & 81.4253 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=235412&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]340[/C][C]NA[/C][C]NA[/C][C]-104.611[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]307[/C][C]NA[/C][C]NA[/C][C]-47.6892[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]380[/C][C]NA[/C][C]NA[/C][C]72.9774[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]347[/C][C]NA[/C][C]NA[/C][C]-97.0538[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]313[/C][C]NA[/C][C]NA[/C][C]29.217[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]333[/C][C]NA[/C][C]NA[/C][C]86.6076[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]347[/C][C]330.509[/C][C]344.792[/C][C]-14.283[/C][C]16.4913[/C][/ROW]
[ROW][C]8[/C][C]333[/C][C]367.628[/C][C]341.167[/C][C]26.4618[/C][C]-34.6285[/C][/ROW]
[ROW][C]9[/C][C]387[/C][C]373.457[/C][C]338.917[/C][C]34.5399[/C][C]13.5434[/C][/ROW]
[ROW][C]10[/C][C]307[/C][C]344.618[/C][C]337.792[/C][C]6.82639[/C][C]-37.6181[/C][/ROW]
[ROW][C]11[/C][C]353[/C][C]263.915[/C][C]338.333[/C][C]-74.4184[/C][C]89.0851[/C][/ROW]
[ROW][C]12[/C][C]407[/C][C]422.259[/C][C]340.833[/C][C]81.4253[/C][C]-15.2587[/C][/ROW]
[ROW][C]13[/C][C]307[/C][C]238.722[/C][C]343.333[/C][C]-104.611[/C][C]68.2778[/C][/ROW]
[ROW][C]14[/C][C]253[/C][C]295.102[/C][C]342.792[/C][C]-47.6892[/C][C]-42.1024[/C][/ROW]
[ROW][C]15[/C][C]380[/C][C]413.561[/C][C]340.583[/C][C]72.9774[/C][C]-33.5608[/C][/ROW]
[ROW][C]16[/C][C]320[/C][C]243.53[/C][C]340.583[/C][C]-97.0538[/C][C]76.4705[/C][/ROW]
[ROW][C]17[/C][C]353[/C][C]369.55[/C][C]340.333[/C][C]29.217[/C][C]-16.5503[/C][/ROW]
[ROW][C]18[/C][C]353[/C][C]427.524[/C][C]340.917[/C][C]86.6076[/C][C]-74.5243[/C][/ROW]
[ROW][C]19[/C][C]387[/C][C]325.217[/C][C]339.5[/C][C]-14.283[/C][C]61.783[/C][/ROW]
[ROW][C]20[/C][C]280[/C][C]363.17[/C][C]336.708[/C][C]26.4618[/C][C]-83.1701[/C][/ROW]
[ROW][C]21[/C][C]387[/C][C]371.832[/C][C]337.292[/C][C]34.5399[/C][C]15.1684[/C][/ROW]
[ROW][C]22[/C][C]307[/C][C]344.118[/C][C]337.292[/C][C]6.82639[/C][C]-37.1181[/C][/ROW]
[ROW][C]23[/C][C]347[/C][C]261.498[/C][C]335.917[/C][C]-74.4184[/C][C]85.5017[/C][/ROW]
[ROW][C]24[/C][C]427[/C][C]417.384[/C][C]335.958[/C][C]81.4253[/C][C]9.61632[/C][/ROW]
[ROW][C]25[/C][C]253[/C][C]231.639[/C][C]336.25[/C][C]-104.611[/C][C]21.3611[/C][/ROW]
[ROW][C]26[/C][C]240[/C][C]286.894[/C][C]334.583[/C][C]-47.6892[/C][C]-46.8941[/C][/ROW]
[ROW][C]27[/C][C]407[/C][C]403.644[/C][C]330.667[/C][C]72.9774[/C][C]3.3559[/C][/ROW]
[ROW][C]28[/C][C]293[/C][C]233.28[/C][C]330.333[/C][C]-97.0538[/C][C]59.7205[/C][/ROW]
[ROW][C]29[/C][C]347[/C][C]360.05[/C][C]330.833[/C][C]29.217[/C][C]-13.0503[/C][/ROW]
[ROW][C]30[/C][C]360[/C][C]416.566[/C][C]329.958[/C][C]86.6076[/C][C]-56.566[/C][/ROW]
[ROW][C]31[/C][C]387[/C][C]317.05[/C][C]331.333[/C][C]-14.283[/C][C]69.9497[/C][/ROW]
[ROW][C]32[/C][C]240[/C][C]358.628[/C][C]332.167[/C][C]26.4618[/C][C]-118.628[/C][/ROW]
[ROW][C]33[/C][C]333[/C][C]366.707[/C][C]332.167[/C][C]34.5399[/C][C]-33.7066[/C][/ROW]
[ROW][C]34[/C][C]353[/C][C]336.785[/C][C]329.958[/C][C]6.82639[/C][C]16.2153[/C][/ROW]
[ROW][C]35[/C][C]313[/C][C]253.873[/C][C]328.292[/C][C]-74.4184[/C][C]59.1267[/C][/ROW]
[ROW][C]36[/C][C]440[/C][C]410.8[/C][C]329.375[/C][C]81.4253[/C][C]29.1997[/C][/ROW]
[ROW][C]37[/C][C]273[/C][C]225.306[/C][C]329.917[/C][C]-104.611[/C][C]47.6944[/C][/ROW]
[ROW][C]38[/C][C]240[/C][C]285.561[/C][C]333.25[/C][C]-47.6892[/C][C]-45.5608[/C][/ROW]
[ROW][C]39[/C][C]407[/C][C]411.227[/C][C]338.25[/C][C]72.9774[/C][C]-4.22743[/C][/ROW]
[ROW][C]40[/C][C]240[/C][C]243.696[/C][C]340.75[/C][C]-97.0538[/C][C]-3.69618[/C][/ROW]
[ROW][C]41[/C][C]360[/C][C]368.592[/C][C]339.375[/C][C]29.217[/C][C]-8.59201[/C][/ROW]
[ROW][C]42[/C][C]373[/C][C]422.941[/C][C]336.333[/C][C]86.6076[/C][C]-49.941[/C][/ROW]
[ROW][C]43[/C][C]387[/C][C]320.384[/C][C]334.667[/C][C]-14.283[/C][C]66.6163[/C][/ROW]
[ROW][C]44[/C][C]320[/C][C]362.503[/C][C]336.042[/C][C]26.4618[/C][C]-42.5035[/C][/ROW]
[ROW][C]45[/C][C]373[/C][C]373.04[/C][C]338.5[/C][C]34.5399[/C][C]-0.0399306[/C][/ROW]
[ROW][C]46[/C][C]373[/C][C]344.201[/C][C]337.375[/C][C]6.82639[/C][C]28.7986[/C][/ROW]
[ROW][C]47[/C][C]260[/C][C]260.457[/C][C]334.875[/C][C]-74.4184[/C][C]-0.456597[/C][/ROW]
[ROW][C]48[/C][C]420[/C][C]417.967[/C][C]336.542[/C][C]81.4253[/C][C]2.03299[/C][/ROW]
[ROW][C]49[/C][C]253[/C][C]230.264[/C][C]334.875[/C][C]-104.611[/C][C]22.7361[/C][/ROW]
[ROW][C]50[/C][C]293[/C][C]284.686[/C][C]332.375[/C][C]-47.6892[/C][C]8.31424[/C][/ROW]
[ROW][C]51[/C][C]413[/C][C]407.602[/C][C]334.625[/C][C]72.9774[/C][C]5.39757[/C][/ROW]
[ROW][C]52[/C][C]207[/C][C]237.863[/C][C]334.917[/C][C]-97.0538[/C][C]-30.8628[/C][/ROW]
[ROW][C]53[/C][C]333[/C][C]361.342[/C][C]332.125[/C][C]29.217[/C][C]-28.342[/C][/ROW]
[ROW][C]54[/C][C]440[/C][C]413.983[/C][C]327.375[/C][C]86.6076[/C][C]26.0174[/C][/ROW]
[ROW][C]55[/C][C]280[/C][C]309.467[/C][C]323.75[/C][C]-14.283[/C][C]-29.467[/C][/ROW]
[ROW][C]56[/C][C]367[/C][C]348.545[/C][C]322.083[/C][C]26.4618[/C][C]18.4549[/C][/ROW]
[ROW][C]57[/C][C]380[/C][C]356.373[/C][C]321.833[/C][C]34.5399[/C][C]23.6267[/C][/ROW]
[ROW][C]58[/C][C]373[/C][C]326.743[/C][C]319.917[/C][C]6.82639[/C][C]46.2569[/C][/ROW]
[ROW][C]59[/C][C]193[/C][C]244.123[/C][C]318.542[/C][C]-74.4184[/C][C]-51.1233[/C][/ROW]
[ROW][C]60[/C][C]373[/C][C]400.55[/C][C]319.125[/C][C]81.4253[/C][C]-27.5503[/C][/ROW]
[ROW][C]61[/C][C]213[/C][C]212.847[/C][C]317.458[/C][C]-104.611[/C][C]0.152778[/C][/ROW]
[ROW][C]62[/C][C]293[/C][C]268.894[/C][C]316.583[/C][C]-47.6892[/C][C]24.1059[/C][/ROW]
[ROW][C]63[/C][C]407[/C][C]388.686[/C][C]315.708[/C][C]72.9774[/C][C]18.3142[/C][/ROW]
[ROW][C]64[/C][C]167[/C][C]215.863[/C][C]312.917[/C][C]-97.0538[/C][C]-48.8628[/C][/ROW]
[ROW][C]65[/C][C]340[/C][C]341.592[/C][C]312.375[/C][C]29.217[/C][C]-1.59201[/C][/ROW]
[ROW][C]66[/C][C]447[/C][C]400.941[/C][C]314.333[/C][C]86.6076[/C][C]46.059[/C][/ROW]
[ROW][C]67[/C][C]233[/C][C]300.634[/C][C]314.917[/C][C]-14.283[/C][C]-67.6337[/C][/ROW]
[ROW][C]68[/C][C]393[/C][C]340.587[/C][C]314.125[/C][C]26.4618[/C][C]52.4132[/C][/ROW]
[ROW][C]69[/C][C]333[/C][C]349.207[/C][C]314.667[/C][C]34.5399[/C][C]-16.2066[/C][/ROW]
[ROW][C]70[/C][C]353[/C][C]323.66[/C][C]316.833[/C][C]6.82639[/C][C]29.3403[/C][/ROW]
[ROW][C]71[/C][C]200[/C][C]245.707[/C][C]320.125[/C][C]-74.4184[/C][C]-45.7066[/C][/ROW]
[ROW][C]72[/C][C]413[/C][C]403.175[/C][C]321.75[/C][C]81.4253[/C][C]9.82465[/C][/ROW]
[ROW][C]73[/C][C]187[/C][C]217.972[/C][C]322.583[/C][C]-104.611[/C][C]-30.9722[/C][/ROW]
[ROW][C]74[/C][C]300[/C][C]277.727[/C][C]325.417[/C][C]-47.6892[/C][C]22.2726[/C][/ROW]
[ROW][C]75[/C][C]413[/C][C]400.936[/C][C]327.958[/C][C]72.9774[/C][C]12.0642[/C][/ROW]
[ROW][C]76[/C][C]213[/C][C]229.821[/C][C]326.875[/C][C]-97.0538[/C][C]-16.8212[/C][/ROW]
[ROW][C]77[/C][C]373[/C][C]354.175[/C][C]324.958[/C][C]29.217[/C][C]18.8247[/C][/ROW]
[ROW][C]78[/C][C]453[/C][C]409.649[/C][C]323.042[/C][C]86.6076[/C][C]43.3507[/C][/ROW]
[ROW][C]79[/C][C]247[/C][C]306.259[/C][C]320.542[/C][C]-14.283[/C][C]-59.2587[/C][/ROW]
[ROW][C]80[/C][C]447[/C][C]346.17[/C][C]319.708[/C][C]26.4618[/C][C]100.83[/C][/ROW]
[ROW][C]81[/C][C]340[/C][C]353.998[/C][C]319.458[/C][C]34.5399[/C][C]-13.9983[/C][/ROW]
[ROW][C]82[/C][C]320[/C][C]325.743[/C][C]318.917[/C][C]6.82639[/C][C]-5.74306[/C][/ROW]
[ROW][C]83[/C][C]187[/C][C]244.79[/C][C]319.208[/C][C]-74.4184[/C][C]-57.7899[/C][/ROW]
[ROW][C]84[/C][C]380[/C][C]400.925[/C][C]319.5[/C][C]81.4253[/C][C]-20.9253[/C][/ROW]
[ROW][C]85[/C][C]160[/C][C]215.431[/C][C]320.042[/C][C]-104.611[/C][C]-55.4306[/C][/ROW]
[ROW][C]86[/C][C]307[/C][C]273.727[/C][C]321.417[/C][C]-47.6892[/C][C]33.2726[/C][/ROW]
[ROW][C]87[/C][C]400[/C][C]396.894[/C][C]323.917[/C][C]72.9774[/C][C]3.1059[/C][/ROW]
[ROW][C]88[/C][C]213[/C][C]227.696[/C][C]324.75[/C][C]-97.0538[/C][C]-14.6962[/C][/ROW]
[ROW][C]89[/C][C]380[/C][C]352.842[/C][C]323.625[/C][C]29.217[/C][C]27.158[/C][/ROW]
[ROW][C]90[/C][C]453[/C][C]411.899[/C][C]325.292[/C][C]86.6076[/C][C]41.1007[/C][/ROW]
[ROW][C]91[/C][C]260[/C][C]312.675[/C][C]326.958[/C][C]-14.283[/C][C]-52.6753[/C][/ROW]
[ROW][C]92[/C][C]467[/C][C]353.962[/C][C]327.5[/C][C]26.4618[/C][C]113.038[/C][/ROW]
[ROW][C]93[/C][C]380[/C][C]362.582[/C][C]328.042[/C][C]34.5399[/C][C]17.4184[/C][/ROW]
[ROW][C]94[/C][C]300[/C][C]334.326[/C][C]327.5[/C][C]6.82639[/C][C]-34.3264[/C][/ROW]
[ROW][C]95[/C][C]180[/C][C]252.832[/C][C]327.25[/C][C]-74.4184[/C][C]-72.8316[/C][/ROW]
[ROW][C]96[/C][C]427[/C][C]408.134[/C][C]326.708[/C][C]81.4253[/C][C]18.8663[/C][/ROW]
[ROW][C]97[/C][C]153[/C][C]221.014[/C][C]325.625[/C][C]-104.611[/C][C]-68.0139[/C][/ROW]
[ROW][C]98[/C][C]327[/C][C]274.602[/C][C]322.292[/C][C]-47.6892[/C][C]52.3976[/C][/ROW]
[ROW][C]99[/C][C]393[/C][C]391.644[/C][C]318.667[/C][C]72.9774[/C][C]1.3559[/C][/ROW]
[ROW][C]100[/C][C]207[/C][C]222.446[/C][C]319.5[/C][C]-97.0538[/C][C]-15.4462[/C][/ROW]
[ROW][C]101[/C][C]380[/C][C]352.05[/C][C]322.833[/C][C]29.217[/C][C]27.9497[/C][/ROW]
[ROW][C]102[/C][C]440[/C][C]409.691[/C][C]323.083[/C][C]86.6076[/C][C]30.309[/C][/ROW]
[ROW][C]103[/C][C]247[/C][C]NA[/C][C]NA[/C][C]-14.283[/C][C]NA[/C][/ROW]
[ROW][C]104[/C][C]400[/C][C]NA[/C][C]NA[/C][C]26.4618[/C][C]NA[/C][/ROW]
[ROW][C]105[/C][C]360[/C][C]NA[/C][C]NA[/C][C]34.5399[/C][C]NA[/C][/ROW]
[ROW][C]106[/C][C]340[/C][C]NA[/C][C]NA[/C][C]6.82639[/C][C]NA[/C][/ROW]
[ROW][C]107[/C][C]220[/C][C]NA[/C][C]NA[/C][C]-74.4184[/C][C]NA[/C][/ROW]
[ROW][C]108[/C][C]393[/C][C]NA[/C][C]NA[/C][C]81.4253[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=235412&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=235412&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
1340NANA-104.611NA
2307NANA-47.6892NA
3380NANA72.9774NA
4347NANA-97.0538NA
5313NANA29.217NA
6333NANA86.6076NA
7347330.509344.792-14.28316.4913
8333367.628341.16726.4618-34.6285
9387373.457338.91734.539913.5434
10307344.618337.7926.82639-37.6181
11353263.915338.333-74.418489.0851
12407422.259340.83381.4253-15.2587
13307238.722343.333-104.61168.2778
14253295.102342.792-47.6892-42.1024
15380413.561340.58372.9774-33.5608
16320243.53340.583-97.053876.4705
17353369.55340.33329.217-16.5503
18353427.524340.91786.6076-74.5243
19387325.217339.5-14.28361.783
20280363.17336.70826.4618-83.1701
21387371.832337.29234.539915.1684
22307344.118337.2926.82639-37.1181
23347261.498335.917-74.418485.5017
24427417.384335.95881.42539.61632
25253231.639336.25-104.61121.3611
26240286.894334.583-47.6892-46.8941
27407403.644330.66772.97743.3559
28293233.28330.333-97.053859.7205
29347360.05330.83329.217-13.0503
30360416.566329.95886.6076-56.566
31387317.05331.333-14.28369.9497
32240358.628332.16726.4618-118.628
33333366.707332.16734.5399-33.7066
34353336.785329.9586.8263916.2153
35313253.873328.292-74.418459.1267
36440410.8329.37581.425329.1997
37273225.306329.917-104.61147.6944
38240285.561333.25-47.6892-45.5608
39407411.227338.2572.9774-4.22743
40240243.696340.75-97.0538-3.69618
41360368.592339.37529.217-8.59201
42373422.941336.33386.6076-49.941
43387320.384334.667-14.28366.6163
44320362.503336.04226.4618-42.5035
45373373.04338.534.5399-0.0399306
46373344.201337.3756.8263928.7986
47260260.457334.875-74.4184-0.456597
48420417.967336.54281.42532.03299
49253230.264334.875-104.61122.7361
50293284.686332.375-47.68928.31424
51413407.602334.62572.97745.39757
52207237.863334.917-97.0538-30.8628
53333361.342332.12529.217-28.342
54440413.983327.37586.607626.0174
55280309.467323.75-14.283-29.467
56367348.545322.08326.461818.4549
57380356.373321.83334.539923.6267
58373326.743319.9176.8263946.2569
59193244.123318.542-74.4184-51.1233
60373400.55319.12581.4253-27.5503
61213212.847317.458-104.6110.152778
62293268.894316.583-47.689224.1059
63407388.686315.70872.977418.3142
64167215.863312.917-97.0538-48.8628
65340341.592312.37529.217-1.59201
66447400.941314.33386.607646.059
67233300.634314.917-14.283-67.6337
68393340.587314.12526.461852.4132
69333349.207314.66734.5399-16.2066
70353323.66316.8336.8263929.3403
71200245.707320.125-74.4184-45.7066
72413403.175321.7581.42539.82465
73187217.972322.583-104.611-30.9722
74300277.727325.417-47.689222.2726
75413400.936327.95872.977412.0642
76213229.821326.875-97.0538-16.8212
77373354.175324.95829.21718.8247
78453409.649323.04286.607643.3507
79247306.259320.542-14.283-59.2587
80447346.17319.70826.4618100.83
81340353.998319.45834.5399-13.9983
82320325.743318.9176.82639-5.74306
83187244.79319.208-74.4184-57.7899
84380400.925319.581.4253-20.9253
85160215.431320.042-104.611-55.4306
86307273.727321.417-47.689233.2726
87400396.894323.91772.97743.1059
88213227.696324.75-97.0538-14.6962
89380352.842323.62529.21727.158
90453411.899325.29286.607641.1007
91260312.675326.958-14.283-52.6753
92467353.962327.526.4618113.038
93380362.582328.04234.539917.4184
94300334.326327.56.82639-34.3264
95180252.832327.25-74.4184-72.8316
96427408.134326.70881.425318.8663
97153221.014325.625-104.611-68.0139
98327274.602322.292-47.689252.3976
99393391.644318.66772.97741.3559
100207222.446319.5-97.0538-15.4462
101380352.05322.83329.21727.9497
102440409.691323.08386.607630.309
103247NANA-14.283NA
104400NANA26.4618NA
105360NANA34.5399NA
106340NANA6.82639NA
107220NANA-74.4184NA
108393NANA81.4253NA



Parameters (Session):
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')