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Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationWed, 13 Aug 2014 16:15:06 +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/13/t1407942915tk5wmnvekwb2j5x.htm/, Retrieved Thu, 16 May 2024 07:10:23 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=235536, Retrieved Thu, 16 May 2024 07:10:23 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact89
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [] [2014-08-13 15:15:06] [b3e3d38149b35cb70244b37a39776b3a] [Current]
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Dataseries X:
106
105
104
102
122
121
106
96
97
97
98
100
106
104
107
112
140
140
134
128
133
139
140
143
152
146
146
155
180
182
177
165
174
174
175
180
184
186
186
192
215
221
222
207
215
212
206
219
222
217
218
225
251
264
264
258
267
258
253
272
275
268
286
293
314
328
326
325
333
332
320
338
344
338
363
375
403
414
411
405
410
416
396
412
422
418
444
453
491
498
489
494
497
500
481
499
509
499
528
537
576
582
584
594
594
598
580
589
595
584
616
622
662
669
679
688
689
690
672
690




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Sir Maurice George Kendall' @ kendall.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 & 'Sir Maurice George Kendall' @ kendall.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=235536&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]'Sir Maurice George Kendall' @ kendall.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=235536&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=235536&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'Sir Maurice George Kendall' @ kendall.wessa.net







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
1106NANA0.984805NA
2105NANA0.949784NA
3104NANA0.968713NA
4102NANA0.980388NA
5122NANA1.07101NA
6121NANA1.07547NA
7106109.269104.51.045640.970079
896104.104104.4580.9966060.922157
997105.07104.5421.005050.923193
1097104.145105.0830.9910730.931391
1198101.49106.250.9551980.965615
12100105.233107.7920.9762630.950272
13106108.082109.750.9848050.980734
14104106.613112.250.9497840.975489
15107111.483115.0830.9687130.95979
16112116.013118.3330.9803880.965413
17140130.485121.8331.071011.07292
18140134.837125.3751.075471.03829
19134134.975129.0831.045640.992778
20128132.299132.750.9966060.967503
21133136.813136.1251.005050.972129
22139138.296139.5420.9910731.00509
23140136.5931430.9551981.02494
24143142.941146.4170.9762631.00041
25152147.68149.9580.9848051.02925
26146145.594153.2920.9497841.00279
27146151.644156.5420.9687130.962782
28155156.576159.7080.9803880.989934
29180174.173162.6251.071011.03346
30182178.124165.6251.075471.02176
31177176.191168.51.045641.00459
32165170.918171.50.9966060.965376
33174175.717174.8331.005050.990228
34174176.452178.0420.9910730.986102
35175172.931181.0420.9551981.01197
36180179.754184.1250.9762631.00137
37184184.774187.6250.9848050.995811
38186181.646191.250.9497841.02397
39186188.616194.7080.9687130.986128
40192194.1171980.9803880.989095
41215215.139200.8751.071010.999353
42221219.171203.7921.075471.00835
43222216.4482071.045641.02565
44207209.163209.8750.9966060.989661
45215213.574212.51.005051.00668
46212213.287215.2080.9910730.993965
47206208.313218.0830.9551980.988898
48219216.12221.3750.9762631.01332
49222221.499224.9170.9848051.00226
50217217.303228.7920.9497840.998608
51218225.791233.0830.9687130.965496
52225232.515237.1670.9803880.967678
53251258.158241.0421.071010.972273
54264263.713245.2081.075471.00109
55264261.018249.6251.045641.01142
56258253.096253.9580.9966061.01937
57267260.225258.9171.005051.02603
58258262.221264.5830.9910730.983901
59253257.943270.0420.9551980.980836
60272268.798275.3330.9762631.01191
61275276.32280.5830.9848050.995223
62268271.599285.9580.9497840.986751
63286282.38291.50.9687131.01282
64293291.502297.3330.9803881.00514
65314324.739303.2081.071010.96693
66328332.05308.751.075470.987803
67326328.723314.3751.045640.991715
68325319.08320.1670.9966061.01855
69333327.941326.2921.005051.01543
70332329.945332.9170.9910731.00623
71320324.807340.0420.9551980.985201
72338339.089347.3330.9762630.996789
73344349.072354.4580.9848050.985469
74338343.188361.3330.9497840.984882
75363356.365367.8750.9687131.01862
76375367.237374.5830.9803881.02114
77403408.323381.251.071010.986965
78414416.743387.51.075470.993418
79411411.808393.8331.045640.998037
80405399.058400.4170.9966061.01489
81410409.183407.1251.005051.002
82416410.057413.750.9910731.01449
83396401.82420.6670.9551980.985516
84412417.678427.8330.9762630.986406
85422427.98434.5830.9848050.986028
86418419.369441.5420.9497840.996736
87444434.831448.8750.9687131.02109
88453447.0574560.9803881.01329
89491495.922463.0421.071010.990074
90498505.693470.2081.075470.984787
91489499.25477.4581.045640.979469
92494482.814484.4580.9966061.02317
93497493.817491.3331.005051.00645
94500493.885498.3330.9910731.01238
95481482.733505.3750.9551980.99641
96499500.254512.4170.9762630.997494
97509511.975519.8750.9848050.994188
98499501.4865280.9497840.995043
99528519.432536.2080.9687131.0165
100537533.658544.3330.9803881.00626
101576591.778552.5421.071010.973338
102582602.709560.4171.075470.96564
103584593.663567.751.045640.983724
104594572.924574.8750.9966061.03679
105594585.026582.0831.005051.01534
106598584.031589.2920.9910731.02392
107580569.696596.4170.9551981.01809
108589589.297603.6250.9762630.999496
109595601.921611.2080.9848050.988502
110584587.995619.0830.9497840.993205
111616607.342626.9580.9687131.01425
112622622.301634.750.9803880.999516
113662688.035642.4171.071010.962161
114669699.546650.4581.075470.956335
115679NANA1.04564NA
116688NANA0.996606NA
117689NANA1.00505NA
118690NANA0.991073NA
119672NANA0.955198NA
120690NANA0.976263NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 106 & NA & NA & 0.984805 & NA \tabularnewline
2 & 105 & NA & NA & 0.949784 & NA \tabularnewline
3 & 104 & NA & NA & 0.968713 & NA \tabularnewline
4 & 102 & NA & NA & 0.980388 & NA \tabularnewline
5 & 122 & NA & NA & 1.07101 & NA \tabularnewline
6 & 121 & NA & NA & 1.07547 & NA \tabularnewline
7 & 106 & 109.269 & 104.5 & 1.04564 & 0.970079 \tabularnewline
8 & 96 & 104.104 & 104.458 & 0.996606 & 0.922157 \tabularnewline
9 & 97 & 105.07 & 104.542 & 1.00505 & 0.923193 \tabularnewline
10 & 97 & 104.145 & 105.083 & 0.991073 & 0.931391 \tabularnewline
11 & 98 & 101.49 & 106.25 & 0.955198 & 0.965615 \tabularnewline
12 & 100 & 105.233 & 107.792 & 0.976263 & 0.950272 \tabularnewline
13 & 106 & 108.082 & 109.75 & 0.984805 & 0.980734 \tabularnewline
14 & 104 & 106.613 & 112.25 & 0.949784 & 0.975489 \tabularnewline
15 & 107 & 111.483 & 115.083 & 0.968713 & 0.95979 \tabularnewline
16 & 112 & 116.013 & 118.333 & 0.980388 & 0.965413 \tabularnewline
17 & 140 & 130.485 & 121.833 & 1.07101 & 1.07292 \tabularnewline
18 & 140 & 134.837 & 125.375 & 1.07547 & 1.03829 \tabularnewline
19 & 134 & 134.975 & 129.083 & 1.04564 & 0.992778 \tabularnewline
20 & 128 & 132.299 & 132.75 & 0.996606 & 0.967503 \tabularnewline
21 & 133 & 136.813 & 136.125 & 1.00505 & 0.972129 \tabularnewline
22 & 139 & 138.296 & 139.542 & 0.991073 & 1.00509 \tabularnewline
23 & 140 & 136.593 & 143 & 0.955198 & 1.02494 \tabularnewline
24 & 143 & 142.941 & 146.417 & 0.976263 & 1.00041 \tabularnewline
25 & 152 & 147.68 & 149.958 & 0.984805 & 1.02925 \tabularnewline
26 & 146 & 145.594 & 153.292 & 0.949784 & 1.00279 \tabularnewline
27 & 146 & 151.644 & 156.542 & 0.968713 & 0.962782 \tabularnewline
28 & 155 & 156.576 & 159.708 & 0.980388 & 0.989934 \tabularnewline
29 & 180 & 174.173 & 162.625 & 1.07101 & 1.03346 \tabularnewline
30 & 182 & 178.124 & 165.625 & 1.07547 & 1.02176 \tabularnewline
31 & 177 & 176.191 & 168.5 & 1.04564 & 1.00459 \tabularnewline
32 & 165 & 170.918 & 171.5 & 0.996606 & 0.965376 \tabularnewline
33 & 174 & 175.717 & 174.833 & 1.00505 & 0.990228 \tabularnewline
34 & 174 & 176.452 & 178.042 & 0.991073 & 0.986102 \tabularnewline
35 & 175 & 172.931 & 181.042 & 0.955198 & 1.01197 \tabularnewline
36 & 180 & 179.754 & 184.125 & 0.976263 & 1.00137 \tabularnewline
37 & 184 & 184.774 & 187.625 & 0.984805 & 0.995811 \tabularnewline
38 & 186 & 181.646 & 191.25 & 0.949784 & 1.02397 \tabularnewline
39 & 186 & 188.616 & 194.708 & 0.968713 & 0.986128 \tabularnewline
40 & 192 & 194.117 & 198 & 0.980388 & 0.989095 \tabularnewline
41 & 215 & 215.139 & 200.875 & 1.07101 & 0.999353 \tabularnewline
42 & 221 & 219.171 & 203.792 & 1.07547 & 1.00835 \tabularnewline
43 & 222 & 216.448 & 207 & 1.04564 & 1.02565 \tabularnewline
44 & 207 & 209.163 & 209.875 & 0.996606 & 0.989661 \tabularnewline
45 & 215 & 213.574 & 212.5 & 1.00505 & 1.00668 \tabularnewline
46 & 212 & 213.287 & 215.208 & 0.991073 & 0.993965 \tabularnewline
47 & 206 & 208.313 & 218.083 & 0.955198 & 0.988898 \tabularnewline
48 & 219 & 216.12 & 221.375 & 0.976263 & 1.01332 \tabularnewline
49 & 222 & 221.499 & 224.917 & 0.984805 & 1.00226 \tabularnewline
50 & 217 & 217.303 & 228.792 & 0.949784 & 0.998608 \tabularnewline
51 & 218 & 225.791 & 233.083 & 0.968713 & 0.965496 \tabularnewline
52 & 225 & 232.515 & 237.167 & 0.980388 & 0.967678 \tabularnewline
53 & 251 & 258.158 & 241.042 & 1.07101 & 0.972273 \tabularnewline
54 & 264 & 263.713 & 245.208 & 1.07547 & 1.00109 \tabularnewline
55 & 264 & 261.018 & 249.625 & 1.04564 & 1.01142 \tabularnewline
56 & 258 & 253.096 & 253.958 & 0.996606 & 1.01937 \tabularnewline
57 & 267 & 260.225 & 258.917 & 1.00505 & 1.02603 \tabularnewline
58 & 258 & 262.221 & 264.583 & 0.991073 & 0.983901 \tabularnewline
59 & 253 & 257.943 & 270.042 & 0.955198 & 0.980836 \tabularnewline
60 & 272 & 268.798 & 275.333 & 0.976263 & 1.01191 \tabularnewline
61 & 275 & 276.32 & 280.583 & 0.984805 & 0.995223 \tabularnewline
62 & 268 & 271.599 & 285.958 & 0.949784 & 0.986751 \tabularnewline
63 & 286 & 282.38 & 291.5 & 0.968713 & 1.01282 \tabularnewline
64 & 293 & 291.502 & 297.333 & 0.980388 & 1.00514 \tabularnewline
65 & 314 & 324.739 & 303.208 & 1.07101 & 0.96693 \tabularnewline
66 & 328 & 332.05 & 308.75 & 1.07547 & 0.987803 \tabularnewline
67 & 326 & 328.723 & 314.375 & 1.04564 & 0.991715 \tabularnewline
68 & 325 & 319.08 & 320.167 & 0.996606 & 1.01855 \tabularnewline
69 & 333 & 327.941 & 326.292 & 1.00505 & 1.01543 \tabularnewline
70 & 332 & 329.945 & 332.917 & 0.991073 & 1.00623 \tabularnewline
71 & 320 & 324.807 & 340.042 & 0.955198 & 0.985201 \tabularnewline
72 & 338 & 339.089 & 347.333 & 0.976263 & 0.996789 \tabularnewline
73 & 344 & 349.072 & 354.458 & 0.984805 & 0.985469 \tabularnewline
74 & 338 & 343.188 & 361.333 & 0.949784 & 0.984882 \tabularnewline
75 & 363 & 356.365 & 367.875 & 0.968713 & 1.01862 \tabularnewline
76 & 375 & 367.237 & 374.583 & 0.980388 & 1.02114 \tabularnewline
77 & 403 & 408.323 & 381.25 & 1.07101 & 0.986965 \tabularnewline
78 & 414 & 416.743 & 387.5 & 1.07547 & 0.993418 \tabularnewline
79 & 411 & 411.808 & 393.833 & 1.04564 & 0.998037 \tabularnewline
80 & 405 & 399.058 & 400.417 & 0.996606 & 1.01489 \tabularnewline
81 & 410 & 409.183 & 407.125 & 1.00505 & 1.002 \tabularnewline
82 & 416 & 410.057 & 413.75 & 0.991073 & 1.01449 \tabularnewline
83 & 396 & 401.82 & 420.667 & 0.955198 & 0.985516 \tabularnewline
84 & 412 & 417.678 & 427.833 & 0.976263 & 0.986406 \tabularnewline
85 & 422 & 427.98 & 434.583 & 0.984805 & 0.986028 \tabularnewline
86 & 418 & 419.369 & 441.542 & 0.949784 & 0.996736 \tabularnewline
87 & 444 & 434.831 & 448.875 & 0.968713 & 1.02109 \tabularnewline
88 & 453 & 447.057 & 456 & 0.980388 & 1.01329 \tabularnewline
89 & 491 & 495.922 & 463.042 & 1.07101 & 0.990074 \tabularnewline
90 & 498 & 505.693 & 470.208 & 1.07547 & 0.984787 \tabularnewline
91 & 489 & 499.25 & 477.458 & 1.04564 & 0.979469 \tabularnewline
92 & 494 & 482.814 & 484.458 & 0.996606 & 1.02317 \tabularnewline
93 & 497 & 493.817 & 491.333 & 1.00505 & 1.00645 \tabularnewline
94 & 500 & 493.885 & 498.333 & 0.991073 & 1.01238 \tabularnewline
95 & 481 & 482.733 & 505.375 & 0.955198 & 0.99641 \tabularnewline
96 & 499 & 500.254 & 512.417 & 0.976263 & 0.997494 \tabularnewline
97 & 509 & 511.975 & 519.875 & 0.984805 & 0.994188 \tabularnewline
98 & 499 & 501.486 & 528 & 0.949784 & 0.995043 \tabularnewline
99 & 528 & 519.432 & 536.208 & 0.968713 & 1.0165 \tabularnewline
100 & 537 & 533.658 & 544.333 & 0.980388 & 1.00626 \tabularnewline
101 & 576 & 591.778 & 552.542 & 1.07101 & 0.973338 \tabularnewline
102 & 582 & 602.709 & 560.417 & 1.07547 & 0.96564 \tabularnewline
103 & 584 & 593.663 & 567.75 & 1.04564 & 0.983724 \tabularnewline
104 & 594 & 572.924 & 574.875 & 0.996606 & 1.03679 \tabularnewline
105 & 594 & 585.026 & 582.083 & 1.00505 & 1.01534 \tabularnewline
106 & 598 & 584.031 & 589.292 & 0.991073 & 1.02392 \tabularnewline
107 & 580 & 569.696 & 596.417 & 0.955198 & 1.01809 \tabularnewline
108 & 589 & 589.297 & 603.625 & 0.976263 & 0.999496 \tabularnewline
109 & 595 & 601.921 & 611.208 & 0.984805 & 0.988502 \tabularnewline
110 & 584 & 587.995 & 619.083 & 0.949784 & 0.993205 \tabularnewline
111 & 616 & 607.342 & 626.958 & 0.968713 & 1.01425 \tabularnewline
112 & 622 & 622.301 & 634.75 & 0.980388 & 0.999516 \tabularnewline
113 & 662 & 688.035 & 642.417 & 1.07101 & 0.962161 \tabularnewline
114 & 669 & 699.546 & 650.458 & 1.07547 & 0.956335 \tabularnewline
115 & 679 & NA & NA & 1.04564 & NA \tabularnewline
116 & 688 & NA & NA & 0.996606 & NA \tabularnewline
117 & 689 & NA & NA & 1.00505 & NA \tabularnewline
118 & 690 & NA & NA & 0.991073 & NA \tabularnewline
119 & 672 & NA & NA & 0.955198 & NA \tabularnewline
120 & 690 & NA & NA & 0.976263 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=235536&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]106[/C][C]NA[/C][C]NA[/C][C]0.984805[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]105[/C][C]NA[/C][C]NA[/C][C]0.949784[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]104[/C][C]NA[/C][C]NA[/C][C]0.968713[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]102[/C][C]NA[/C][C]NA[/C][C]0.980388[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]122[/C][C]NA[/C][C]NA[/C][C]1.07101[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]121[/C][C]NA[/C][C]NA[/C][C]1.07547[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]106[/C][C]109.269[/C][C]104.5[/C][C]1.04564[/C][C]0.970079[/C][/ROW]
[ROW][C]8[/C][C]96[/C][C]104.104[/C][C]104.458[/C][C]0.996606[/C][C]0.922157[/C][/ROW]
[ROW][C]9[/C][C]97[/C][C]105.07[/C][C]104.542[/C][C]1.00505[/C][C]0.923193[/C][/ROW]
[ROW][C]10[/C][C]97[/C][C]104.145[/C][C]105.083[/C][C]0.991073[/C][C]0.931391[/C][/ROW]
[ROW][C]11[/C][C]98[/C][C]101.49[/C][C]106.25[/C][C]0.955198[/C][C]0.965615[/C][/ROW]
[ROW][C]12[/C][C]100[/C][C]105.233[/C][C]107.792[/C][C]0.976263[/C][C]0.950272[/C][/ROW]
[ROW][C]13[/C][C]106[/C][C]108.082[/C][C]109.75[/C][C]0.984805[/C][C]0.980734[/C][/ROW]
[ROW][C]14[/C][C]104[/C][C]106.613[/C][C]112.25[/C][C]0.949784[/C][C]0.975489[/C][/ROW]
[ROW][C]15[/C][C]107[/C][C]111.483[/C][C]115.083[/C][C]0.968713[/C][C]0.95979[/C][/ROW]
[ROW][C]16[/C][C]112[/C][C]116.013[/C][C]118.333[/C][C]0.980388[/C][C]0.965413[/C][/ROW]
[ROW][C]17[/C][C]140[/C][C]130.485[/C][C]121.833[/C][C]1.07101[/C][C]1.07292[/C][/ROW]
[ROW][C]18[/C][C]140[/C][C]134.837[/C][C]125.375[/C][C]1.07547[/C][C]1.03829[/C][/ROW]
[ROW][C]19[/C][C]134[/C][C]134.975[/C][C]129.083[/C][C]1.04564[/C][C]0.992778[/C][/ROW]
[ROW][C]20[/C][C]128[/C][C]132.299[/C][C]132.75[/C][C]0.996606[/C][C]0.967503[/C][/ROW]
[ROW][C]21[/C][C]133[/C][C]136.813[/C][C]136.125[/C][C]1.00505[/C][C]0.972129[/C][/ROW]
[ROW][C]22[/C][C]139[/C][C]138.296[/C][C]139.542[/C][C]0.991073[/C][C]1.00509[/C][/ROW]
[ROW][C]23[/C][C]140[/C][C]136.593[/C][C]143[/C][C]0.955198[/C][C]1.02494[/C][/ROW]
[ROW][C]24[/C][C]143[/C][C]142.941[/C][C]146.417[/C][C]0.976263[/C][C]1.00041[/C][/ROW]
[ROW][C]25[/C][C]152[/C][C]147.68[/C][C]149.958[/C][C]0.984805[/C][C]1.02925[/C][/ROW]
[ROW][C]26[/C][C]146[/C][C]145.594[/C][C]153.292[/C][C]0.949784[/C][C]1.00279[/C][/ROW]
[ROW][C]27[/C][C]146[/C][C]151.644[/C][C]156.542[/C][C]0.968713[/C][C]0.962782[/C][/ROW]
[ROW][C]28[/C][C]155[/C][C]156.576[/C][C]159.708[/C][C]0.980388[/C][C]0.989934[/C][/ROW]
[ROW][C]29[/C][C]180[/C][C]174.173[/C][C]162.625[/C][C]1.07101[/C][C]1.03346[/C][/ROW]
[ROW][C]30[/C][C]182[/C][C]178.124[/C][C]165.625[/C][C]1.07547[/C][C]1.02176[/C][/ROW]
[ROW][C]31[/C][C]177[/C][C]176.191[/C][C]168.5[/C][C]1.04564[/C][C]1.00459[/C][/ROW]
[ROW][C]32[/C][C]165[/C][C]170.918[/C][C]171.5[/C][C]0.996606[/C][C]0.965376[/C][/ROW]
[ROW][C]33[/C][C]174[/C][C]175.717[/C][C]174.833[/C][C]1.00505[/C][C]0.990228[/C][/ROW]
[ROW][C]34[/C][C]174[/C][C]176.452[/C][C]178.042[/C][C]0.991073[/C][C]0.986102[/C][/ROW]
[ROW][C]35[/C][C]175[/C][C]172.931[/C][C]181.042[/C][C]0.955198[/C][C]1.01197[/C][/ROW]
[ROW][C]36[/C][C]180[/C][C]179.754[/C][C]184.125[/C][C]0.976263[/C][C]1.00137[/C][/ROW]
[ROW][C]37[/C][C]184[/C][C]184.774[/C][C]187.625[/C][C]0.984805[/C][C]0.995811[/C][/ROW]
[ROW][C]38[/C][C]186[/C][C]181.646[/C][C]191.25[/C][C]0.949784[/C][C]1.02397[/C][/ROW]
[ROW][C]39[/C][C]186[/C][C]188.616[/C][C]194.708[/C][C]0.968713[/C][C]0.986128[/C][/ROW]
[ROW][C]40[/C][C]192[/C][C]194.117[/C][C]198[/C][C]0.980388[/C][C]0.989095[/C][/ROW]
[ROW][C]41[/C][C]215[/C][C]215.139[/C][C]200.875[/C][C]1.07101[/C][C]0.999353[/C][/ROW]
[ROW][C]42[/C][C]221[/C][C]219.171[/C][C]203.792[/C][C]1.07547[/C][C]1.00835[/C][/ROW]
[ROW][C]43[/C][C]222[/C][C]216.448[/C][C]207[/C][C]1.04564[/C][C]1.02565[/C][/ROW]
[ROW][C]44[/C][C]207[/C][C]209.163[/C][C]209.875[/C][C]0.996606[/C][C]0.989661[/C][/ROW]
[ROW][C]45[/C][C]215[/C][C]213.574[/C][C]212.5[/C][C]1.00505[/C][C]1.00668[/C][/ROW]
[ROW][C]46[/C][C]212[/C][C]213.287[/C][C]215.208[/C][C]0.991073[/C][C]0.993965[/C][/ROW]
[ROW][C]47[/C][C]206[/C][C]208.313[/C][C]218.083[/C][C]0.955198[/C][C]0.988898[/C][/ROW]
[ROW][C]48[/C][C]219[/C][C]216.12[/C][C]221.375[/C][C]0.976263[/C][C]1.01332[/C][/ROW]
[ROW][C]49[/C][C]222[/C][C]221.499[/C][C]224.917[/C][C]0.984805[/C][C]1.00226[/C][/ROW]
[ROW][C]50[/C][C]217[/C][C]217.303[/C][C]228.792[/C][C]0.949784[/C][C]0.998608[/C][/ROW]
[ROW][C]51[/C][C]218[/C][C]225.791[/C][C]233.083[/C][C]0.968713[/C][C]0.965496[/C][/ROW]
[ROW][C]52[/C][C]225[/C][C]232.515[/C][C]237.167[/C][C]0.980388[/C][C]0.967678[/C][/ROW]
[ROW][C]53[/C][C]251[/C][C]258.158[/C][C]241.042[/C][C]1.07101[/C][C]0.972273[/C][/ROW]
[ROW][C]54[/C][C]264[/C][C]263.713[/C][C]245.208[/C][C]1.07547[/C][C]1.00109[/C][/ROW]
[ROW][C]55[/C][C]264[/C][C]261.018[/C][C]249.625[/C][C]1.04564[/C][C]1.01142[/C][/ROW]
[ROW][C]56[/C][C]258[/C][C]253.096[/C][C]253.958[/C][C]0.996606[/C][C]1.01937[/C][/ROW]
[ROW][C]57[/C][C]267[/C][C]260.225[/C][C]258.917[/C][C]1.00505[/C][C]1.02603[/C][/ROW]
[ROW][C]58[/C][C]258[/C][C]262.221[/C][C]264.583[/C][C]0.991073[/C][C]0.983901[/C][/ROW]
[ROW][C]59[/C][C]253[/C][C]257.943[/C][C]270.042[/C][C]0.955198[/C][C]0.980836[/C][/ROW]
[ROW][C]60[/C][C]272[/C][C]268.798[/C][C]275.333[/C][C]0.976263[/C][C]1.01191[/C][/ROW]
[ROW][C]61[/C][C]275[/C][C]276.32[/C][C]280.583[/C][C]0.984805[/C][C]0.995223[/C][/ROW]
[ROW][C]62[/C][C]268[/C][C]271.599[/C][C]285.958[/C][C]0.949784[/C][C]0.986751[/C][/ROW]
[ROW][C]63[/C][C]286[/C][C]282.38[/C][C]291.5[/C][C]0.968713[/C][C]1.01282[/C][/ROW]
[ROW][C]64[/C][C]293[/C][C]291.502[/C][C]297.333[/C][C]0.980388[/C][C]1.00514[/C][/ROW]
[ROW][C]65[/C][C]314[/C][C]324.739[/C][C]303.208[/C][C]1.07101[/C][C]0.96693[/C][/ROW]
[ROW][C]66[/C][C]328[/C][C]332.05[/C][C]308.75[/C][C]1.07547[/C][C]0.987803[/C][/ROW]
[ROW][C]67[/C][C]326[/C][C]328.723[/C][C]314.375[/C][C]1.04564[/C][C]0.991715[/C][/ROW]
[ROW][C]68[/C][C]325[/C][C]319.08[/C][C]320.167[/C][C]0.996606[/C][C]1.01855[/C][/ROW]
[ROW][C]69[/C][C]333[/C][C]327.941[/C][C]326.292[/C][C]1.00505[/C][C]1.01543[/C][/ROW]
[ROW][C]70[/C][C]332[/C][C]329.945[/C][C]332.917[/C][C]0.991073[/C][C]1.00623[/C][/ROW]
[ROW][C]71[/C][C]320[/C][C]324.807[/C][C]340.042[/C][C]0.955198[/C][C]0.985201[/C][/ROW]
[ROW][C]72[/C][C]338[/C][C]339.089[/C][C]347.333[/C][C]0.976263[/C][C]0.996789[/C][/ROW]
[ROW][C]73[/C][C]344[/C][C]349.072[/C][C]354.458[/C][C]0.984805[/C][C]0.985469[/C][/ROW]
[ROW][C]74[/C][C]338[/C][C]343.188[/C][C]361.333[/C][C]0.949784[/C][C]0.984882[/C][/ROW]
[ROW][C]75[/C][C]363[/C][C]356.365[/C][C]367.875[/C][C]0.968713[/C][C]1.01862[/C][/ROW]
[ROW][C]76[/C][C]375[/C][C]367.237[/C][C]374.583[/C][C]0.980388[/C][C]1.02114[/C][/ROW]
[ROW][C]77[/C][C]403[/C][C]408.323[/C][C]381.25[/C][C]1.07101[/C][C]0.986965[/C][/ROW]
[ROW][C]78[/C][C]414[/C][C]416.743[/C][C]387.5[/C][C]1.07547[/C][C]0.993418[/C][/ROW]
[ROW][C]79[/C][C]411[/C][C]411.808[/C][C]393.833[/C][C]1.04564[/C][C]0.998037[/C][/ROW]
[ROW][C]80[/C][C]405[/C][C]399.058[/C][C]400.417[/C][C]0.996606[/C][C]1.01489[/C][/ROW]
[ROW][C]81[/C][C]410[/C][C]409.183[/C][C]407.125[/C][C]1.00505[/C][C]1.002[/C][/ROW]
[ROW][C]82[/C][C]416[/C][C]410.057[/C][C]413.75[/C][C]0.991073[/C][C]1.01449[/C][/ROW]
[ROW][C]83[/C][C]396[/C][C]401.82[/C][C]420.667[/C][C]0.955198[/C][C]0.985516[/C][/ROW]
[ROW][C]84[/C][C]412[/C][C]417.678[/C][C]427.833[/C][C]0.976263[/C][C]0.986406[/C][/ROW]
[ROW][C]85[/C][C]422[/C][C]427.98[/C][C]434.583[/C][C]0.984805[/C][C]0.986028[/C][/ROW]
[ROW][C]86[/C][C]418[/C][C]419.369[/C][C]441.542[/C][C]0.949784[/C][C]0.996736[/C][/ROW]
[ROW][C]87[/C][C]444[/C][C]434.831[/C][C]448.875[/C][C]0.968713[/C][C]1.02109[/C][/ROW]
[ROW][C]88[/C][C]453[/C][C]447.057[/C][C]456[/C][C]0.980388[/C][C]1.01329[/C][/ROW]
[ROW][C]89[/C][C]491[/C][C]495.922[/C][C]463.042[/C][C]1.07101[/C][C]0.990074[/C][/ROW]
[ROW][C]90[/C][C]498[/C][C]505.693[/C][C]470.208[/C][C]1.07547[/C][C]0.984787[/C][/ROW]
[ROW][C]91[/C][C]489[/C][C]499.25[/C][C]477.458[/C][C]1.04564[/C][C]0.979469[/C][/ROW]
[ROW][C]92[/C][C]494[/C][C]482.814[/C][C]484.458[/C][C]0.996606[/C][C]1.02317[/C][/ROW]
[ROW][C]93[/C][C]497[/C][C]493.817[/C][C]491.333[/C][C]1.00505[/C][C]1.00645[/C][/ROW]
[ROW][C]94[/C][C]500[/C][C]493.885[/C][C]498.333[/C][C]0.991073[/C][C]1.01238[/C][/ROW]
[ROW][C]95[/C][C]481[/C][C]482.733[/C][C]505.375[/C][C]0.955198[/C][C]0.99641[/C][/ROW]
[ROW][C]96[/C][C]499[/C][C]500.254[/C][C]512.417[/C][C]0.976263[/C][C]0.997494[/C][/ROW]
[ROW][C]97[/C][C]509[/C][C]511.975[/C][C]519.875[/C][C]0.984805[/C][C]0.994188[/C][/ROW]
[ROW][C]98[/C][C]499[/C][C]501.486[/C][C]528[/C][C]0.949784[/C][C]0.995043[/C][/ROW]
[ROW][C]99[/C][C]528[/C][C]519.432[/C][C]536.208[/C][C]0.968713[/C][C]1.0165[/C][/ROW]
[ROW][C]100[/C][C]537[/C][C]533.658[/C][C]544.333[/C][C]0.980388[/C][C]1.00626[/C][/ROW]
[ROW][C]101[/C][C]576[/C][C]591.778[/C][C]552.542[/C][C]1.07101[/C][C]0.973338[/C][/ROW]
[ROW][C]102[/C][C]582[/C][C]602.709[/C][C]560.417[/C][C]1.07547[/C][C]0.96564[/C][/ROW]
[ROW][C]103[/C][C]584[/C][C]593.663[/C][C]567.75[/C][C]1.04564[/C][C]0.983724[/C][/ROW]
[ROW][C]104[/C][C]594[/C][C]572.924[/C][C]574.875[/C][C]0.996606[/C][C]1.03679[/C][/ROW]
[ROW][C]105[/C][C]594[/C][C]585.026[/C][C]582.083[/C][C]1.00505[/C][C]1.01534[/C][/ROW]
[ROW][C]106[/C][C]598[/C][C]584.031[/C][C]589.292[/C][C]0.991073[/C][C]1.02392[/C][/ROW]
[ROW][C]107[/C][C]580[/C][C]569.696[/C][C]596.417[/C][C]0.955198[/C][C]1.01809[/C][/ROW]
[ROW][C]108[/C][C]589[/C][C]589.297[/C][C]603.625[/C][C]0.976263[/C][C]0.999496[/C][/ROW]
[ROW][C]109[/C][C]595[/C][C]601.921[/C][C]611.208[/C][C]0.984805[/C][C]0.988502[/C][/ROW]
[ROW][C]110[/C][C]584[/C][C]587.995[/C][C]619.083[/C][C]0.949784[/C][C]0.993205[/C][/ROW]
[ROW][C]111[/C][C]616[/C][C]607.342[/C][C]626.958[/C][C]0.968713[/C][C]1.01425[/C][/ROW]
[ROW][C]112[/C][C]622[/C][C]622.301[/C][C]634.75[/C][C]0.980388[/C][C]0.999516[/C][/ROW]
[ROW][C]113[/C][C]662[/C][C]688.035[/C][C]642.417[/C][C]1.07101[/C][C]0.962161[/C][/ROW]
[ROW][C]114[/C][C]669[/C][C]699.546[/C][C]650.458[/C][C]1.07547[/C][C]0.956335[/C][/ROW]
[ROW][C]115[/C][C]679[/C][C]NA[/C][C]NA[/C][C]1.04564[/C][C]NA[/C][/ROW]
[ROW][C]116[/C][C]688[/C][C]NA[/C][C]NA[/C][C]0.996606[/C][C]NA[/C][/ROW]
[ROW][C]117[/C][C]689[/C][C]NA[/C][C]NA[/C][C]1.00505[/C][C]NA[/C][/ROW]
[ROW][C]118[/C][C]690[/C][C]NA[/C][C]NA[/C][C]0.991073[/C][C]NA[/C][/ROW]
[ROW][C]119[/C][C]672[/C][C]NA[/C][C]NA[/C][C]0.955198[/C][C]NA[/C][/ROW]
[ROW][C]120[/C][C]690[/C][C]NA[/C][C]NA[/C][C]0.976263[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=235536&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=235536&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
1106NANA0.984805NA
2105NANA0.949784NA
3104NANA0.968713NA
4102NANA0.980388NA
5122NANA1.07101NA
6121NANA1.07547NA
7106109.269104.51.045640.970079
896104.104104.4580.9966060.922157
997105.07104.5421.005050.923193
1097104.145105.0830.9910730.931391
1198101.49106.250.9551980.965615
12100105.233107.7920.9762630.950272
13106108.082109.750.9848050.980734
14104106.613112.250.9497840.975489
15107111.483115.0830.9687130.95979
16112116.013118.3330.9803880.965413
17140130.485121.8331.071011.07292
18140134.837125.3751.075471.03829
19134134.975129.0831.045640.992778
20128132.299132.750.9966060.967503
21133136.813136.1251.005050.972129
22139138.296139.5420.9910731.00509
23140136.5931430.9551981.02494
24143142.941146.4170.9762631.00041
25152147.68149.9580.9848051.02925
26146145.594153.2920.9497841.00279
27146151.644156.5420.9687130.962782
28155156.576159.7080.9803880.989934
29180174.173162.6251.071011.03346
30182178.124165.6251.075471.02176
31177176.191168.51.045641.00459
32165170.918171.50.9966060.965376
33174175.717174.8331.005050.990228
34174176.452178.0420.9910730.986102
35175172.931181.0420.9551981.01197
36180179.754184.1250.9762631.00137
37184184.774187.6250.9848050.995811
38186181.646191.250.9497841.02397
39186188.616194.7080.9687130.986128
40192194.1171980.9803880.989095
41215215.139200.8751.071010.999353
42221219.171203.7921.075471.00835
43222216.4482071.045641.02565
44207209.163209.8750.9966060.989661
45215213.574212.51.005051.00668
46212213.287215.2080.9910730.993965
47206208.313218.0830.9551980.988898
48219216.12221.3750.9762631.01332
49222221.499224.9170.9848051.00226
50217217.303228.7920.9497840.998608
51218225.791233.0830.9687130.965496
52225232.515237.1670.9803880.967678
53251258.158241.0421.071010.972273
54264263.713245.2081.075471.00109
55264261.018249.6251.045641.01142
56258253.096253.9580.9966061.01937
57267260.225258.9171.005051.02603
58258262.221264.5830.9910730.983901
59253257.943270.0420.9551980.980836
60272268.798275.3330.9762631.01191
61275276.32280.5830.9848050.995223
62268271.599285.9580.9497840.986751
63286282.38291.50.9687131.01282
64293291.502297.3330.9803881.00514
65314324.739303.2081.071010.96693
66328332.05308.751.075470.987803
67326328.723314.3751.045640.991715
68325319.08320.1670.9966061.01855
69333327.941326.2921.005051.01543
70332329.945332.9170.9910731.00623
71320324.807340.0420.9551980.985201
72338339.089347.3330.9762630.996789
73344349.072354.4580.9848050.985469
74338343.188361.3330.9497840.984882
75363356.365367.8750.9687131.01862
76375367.237374.5830.9803881.02114
77403408.323381.251.071010.986965
78414416.743387.51.075470.993418
79411411.808393.8331.045640.998037
80405399.058400.4170.9966061.01489
81410409.183407.1251.005051.002
82416410.057413.750.9910731.01449
83396401.82420.6670.9551980.985516
84412417.678427.8330.9762630.986406
85422427.98434.5830.9848050.986028
86418419.369441.5420.9497840.996736
87444434.831448.8750.9687131.02109
88453447.0574560.9803881.01329
89491495.922463.0421.071010.990074
90498505.693470.2081.075470.984787
91489499.25477.4581.045640.979469
92494482.814484.4580.9966061.02317
93497493.817491.3331.005051.00645
94500493.885498.3330.9910731.01238
95481482.733505.3750.9551980.99641
96499500.254512.4170.9762630.997494
97509511.975519.8750.9848050.994188
98499501.4865280.9497840.995043
99528519.432536.2080.9687131.0165
100537533.658544.3330.9803881.00626
101576591.778552.5421.071010.973338
102582602.709560.4171.075470.96564
103584593.663567.751.045640.983724
104594572.924574.8750.9966061.03679
105594585.026582.0831.005051.01534
106598584.031589.2920.9910731.02392
107580569.696596.4170.9551981.01809
108589589.297603.6250.9762630.999496
109595601.921611.2080.9848050.988502
110584587.995619.0830.9497840.993205
111616607.342626.9580.9687131.01425
112622622.301634.750.9803880.999516
113662688.035642.4171.071010.962161
114669699.546650.4581.075470.956335
115679NANA1.04564NA
116688NANA0.996606NA
117689NANA1.00505NA
118690NANA0.991073NA
119672NANA0.955198NA
120690NANA0.976263NA



Parameters (Session):
par1 = multiplicative ; par2 = 12 ;
Parameters (R input):
par1 = multiplicative ; 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')