Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationMon, 15 Aug 2016 13:41:22 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2016/Aug/15/t14712652084i3ambfvmwlfyva.htm/, Retrieved Sun, 28 Apr 2024 16:41:30 +0200
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=, Retrieved Sun, 28 Apr 2024 16:41:30 +0200
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact0
Dataseries X:
540
520
550
440
570
560
600
620
690
600
570
710
600
450
530
400
560
460
610
550
580
650
640
760
550
460
510
370
530
410
580
550
490
700
630
720
540
500
450
370
490
440
600
580
500
670
620
800
640
390
390
390
460
460
620
570
510
640
590
850
670
390
410
340
470
540
680
670
540
630
560
800
610
490
440
330
490
590
690
650
480
690
540
830
690
500
460
310
490
470
710
710
540
700
520
810
690
510
390
270
530
510
670
770
570
640
480
830




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

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&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'Gwilym Jenkins' @ jenkins.wessa.net







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
1540NANA67.9818NA
2520NANA-95.6641NA
3550NANA-109.57NA
4440NANA-209.154NA
5570NANA-53.8932NA
6560NANA-71.5495NA
7600660.482583.33377.1484-60.4818
8620635.586582.91752.6693-15.5859
9690561.471579.167-17.6953128.529
10600679.44576.667102.773-79.4401
11570602.201574.58327.6172-32.2005
12710799.336570229.336-89.3359
13600634.232566.2567.9818-34.2318
14450468.086563.75-95.6641-18.0859
15530446.68556.25-109.5783.3203
16400344.596553.75-209.15455.4036
17560504.857558.75-53.893255.1432
18460492.201563.75-71.5495-32.2005
19610640.898563.7577.1484-30.8984
20550614.753562.08352.6693-64.7526
21580543.971561.667-17.695336.0286
22650662.357559.583102.773-12.3568
23640584.701557.08327.617255.2995
24760783.086553.75229.336-23.0859
25550618.398550.41767.9818-68.3984
26460453.503549.167-95.66416.4974
27510435.846545.417-109.5774.1536
28370334.596543.75-209.15435.4036
29530491.523545.417-53.893238.4766
30410471.784543.333-71.5495-61.7839
31580618.398541.2577.1484-38.3984
32550595.169542.552.6693-45.1693
33490523.971541.667-17.6953-33.9714
34700641.94539.167102.77358.0599
35630565.117537.527.617264.8828
36720766.419537.083229.336-46.4193
37540607.148539.16767.9818-67.1484
38500445.586541.25-95.664154.4141
39450433.346542.917-109.5716.6536
40370332.93542.083-209.15437.0703
41490486.523540.417-53.89323.47656
42440471.784543.333-71.5495-31.7839
43600627.982550.83377.1484-27.9818
44580603.086550.41752.6693-23.0859
45500525.638543.333-17.6953-25.638
46670644.44541.667102.77325.5599
47620568.867541.2527.617251.1328
48800770.169540.833229.33629.8307
49640610.482542.567.981829.5182
50390447.253542.917-95.6641-57.2526
51390433.346542.917-109.57-43.3464
52390332.93542.083-209.15457.0703
53460485.69539.583-53.8932-25.6901
54460468.867540.417-71.5495-8.86719
55620620.898543.7577.1484-0.898437
56570597.66954552.6693-27.6693
57510528.138545.833-17.6953-18.138
58640647.357544.583102.773-7.35677
59590570.534542.91727.617219.4661
60850776.003546.667229.33673.9974
61670620.482552.567.981849.5182
62390463.503559.167-95.6641-73.5026
63410455.013564.583-109.57-45.013
64340356.263565.417-209.154-16.263
65470509.857563.75-53.8932-39.8568
66540488.867560.417-71.549551.1328
67680632.982555.83377.148447.0182
68670610.169557.552.669359.8307
69540545.221562.917-17.6953-5.22135
70630666.523563.75102.773-36.5234
71560591.784564.16727.6172-31.7839
72800796.419567.083229.3363.58073
73610637.565569.58367.9818-27.5651
74490473.503569.167-95.664116.4974
75440456.263565.833-109.57-16.263
76330356.68565.833-209.154-26.6797
77490513.607567.5-53.8932-23.6068
78590496.367567.917-71.549593.6328
79690649.648572.577.148440.3516
80650628.919576.2552.669321.0807
81480559.805577.5-17.6953-79.8047
82690680.273577.5102.7739.72656
83540604.284576.66727.6172-64.2839
84830801.003571.667229.33628.9974
85690635.482567.567.981854.5182
86500475.169570.833-95.664124.8307
87460466.263575.833-109.57-6.26302
88310369.596578.75-209.154-59.5964
89490524.44578.333-53.8932-34.4401
90470505.117576.667-71.5495-35.1172
91710652.982575.83377.148457.0182
92710628.919576.2552.669381.0807
93540556.055573.75-17.6953-16.0547
94700671.94569.167102.77328.0599
95520596.784569.16727.6172-76.7839
96810801.836572.5229.3368.16406
97690640.482572.567.981849.5182
98510477.669573.333-95.664132.3307
99390467.513577.083-109.57-77.513
100270366.68575.833-209.154-96.6797
101530517.773571.667-53.893212.2266
102510499.284570.833-71.549510.7161
103670NANA77.1484NA
104770NANA52.6693NA
105570NANA-17.6953NA
106640NANA102.773NA
107480NANA27.6172NA
108830NANA229.336NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 540 & NA & NA & 67.9818 & NA \tabularnewline
2 & 520 & NA & NA & -95.6641 & NA \tabularnewline
3 & 550 & NA & NA & -109.57 & NA \tabularnewline
4 & 440 & NA & NA & -209.154 & NA \tabularnewline
5 & 570 & NA & NA & -53.8932 & NA \tabularnewline
6 & 560 & NA & NA & -71.5495 & NA \tabularnewline
7 & 600 & 660.482 & 583.333 & 77.1484 & -60.4818 \tabularnewline
8 & 620 & 635.586 & 582.917 & 52.6693 & -15.5859 \tabularnewline
9 & 690 & 561.471 & 579.167 & -17.6953 & 128.529 \tabularnewline
10 & 600 & 679.44 & 576.667 & 102.773 & -79.4401 \tabularnewline
11 & 570 & 602.201 & 574.583 & 27.6172 & -32.2005 \tabularnewline
12 & 710 & 799.336 & 570 & 229.336 & -89.3359 \tabularnewline
13 & 600 & 634.232 & 566.25 & 67.9818 & -34.2318 \tabularnewline
14 & 450 & 468.086 & 563.75 & -95.6641 & -18.0859 \tabularnewline
15 & 530 & 446.68 & 556.25 & -109.57 & 83.3203 \tabularnewline
16 & 400 & 344.596 & 553.75 & -209.154 & 55.4036 \tabularnewline
17 & 560 & 504.857 & 558.75 & -53.8932 & 55.1432 \tabularnewline
18 & 460 & 492.201 & 563.75 & -71.5495 & -32.2005 \tabularnewline
19 & 610 & 640.898 & 563.75 & 77.1484 & -30.8984 \tabularnewline
20 & 550 & 614.753 & 562.083 & 52.6693 & -64.7526 \tabularnewline
21 & 580 & 543.971 & 561.667 & -17.6953 & 36.0286 \tabularnewline
22 & 650 & 662.357 & 559.583 & 102.773 & -12.3568 \tabularnewline
23 & 640 & 584.701 & 557.083 & 27.6172 & 55.2995 \tabularnewline
24 & 760 & 783.086 & 553.75 & 229.336 & -23.0859 \tabularnewline
25 & 550 & 618.398 & 550.417 & 67.9818 & -68.3984 \tabularnewline
26 & 460 & 453.503 & 549.167 & -95.6641 & 6.4974 \tabularnewline
27 & 510 & 435.846 & 545.417 & -109.57 & 74.1536 \tabularnewline
28 & 370 & 334.596 & 543.75 & -209.154 & 35.4036 \tabularnewline
29 & 530 & 491.523 & 545.417 & -53.8932 & 38.4766 \tabularnewline
30 & 410 & 471.784 & 543.333 & -71.5495 & -61.7839 \tabularnewline
31 & 580 & 618.398 & 541.25 & 77.1484 & -38.3984 \tabularnewline
32 & 550 & 595.169 & 542.5 & 52.6693 & -45.1693 \tabularnewline
33 & 490 & 523.971 & 541.667 & -17.6953 & -33.9714 \tabularnewline
34 & 700 & 641.94 & 539.167 & 102.773 & 58.0599 \tabularnewline
35 & 630 & 565.117 & 537.5 & 27.6172 & 64.8828 \tabularnewline
36 & 720 & 766.419 & 537.083 & 229.336 & -46.4193 \tabularnewline
37 & 540 & 607.148 & 539.167 & 67.9818 & -67.1484 \tabularnewline
38 & 500 & 445.586 & 541.25 & -95.6641 & 54.4141 \tabularnewline
39 & 450 & 433.346 & 542.917 & -109.57 & 16.6536 \tabularnewline
40 & 370 & 332.93 & 542.083 & -209.154 & 37.0703 \tabularnewline
41 & 490 & 486.523 & 540.417 & -53.8932 & 3.47656 \tabularnewline
42 & 440 & 471.784 & 543.333 & -71.5495 & -31.7839 \tabularnewline
43 & 600 & 627.982 & 550.833 & 77.1484 & -27.9818 \tabularnewline
44 & 580 & 603.086 & 550.417 & 52.6693 & -23.0859 \tabularnewline
45 & 500 & 525.638 & 543.333 & -17.6953 & -25.638 \tabularnewline
46 & 670 & 644.44 & 541.667 & 102.773 & 25.5599 \tabularnewline
47 & 620 & 568.867 & 541.25 & 27.6172 & 51.1328 \tabularnewline
48 & 800 & 770.169 & 540.833 & 229.336 & 29.8307 \tabularnewline
49 & 640 & 610.482 & 542.5 & 67.9818 & 29.5182 \tabularnewline
50 & 390 & 447.253 & 542.917 & -95.6641 & -57.2526 \tabularnewline
51 & 390 & 433.346 & 542.917 & -109.57 & -43.3464 \tabularnewline
52 & 390 & 332.93 & 542.083 & -209.154 & 57.0703 \tabularnewline
53 & 460 & 485.69 & 539.583 & -53.8932 & -25.6901 \tabularnewline
54 & 460 & 468.867 & 540.417 & -71.5495 & -8.86719 \tabularnewline
55 & 620 & 620.898 & 543.75 & 77.1484 & -0.898437 \tabularnewline
56 & 570 & 597.669 & 545 & 52.6693 & -27.6693 \tabularnewline
57 & 510 & 528.138 & 545.833 & -17.6953 & -18.138 \tabularnewline
58 & 640 & 647.357 & 544.583 & 102.773 & -7.35677 \tabularnewline
59 & 590 & 570.534 & 542.917 & 27.6172 & 19.4661 \tabularnewline
60 & 850 & 776.003 & 546.667 & 229.336 & 73.9974 \tabularnewline
61 & 670 & 620.482 & 552.5 & 67.9818 & 49.5182 \tabularnewline
62 & 390 & 463.503 & 559.167 & -95.6641 & -73.5026 \tabularnewline
63 & 410 & 455.013 & 564.583 & -109.57 & -45.013 \tabularnewline
64 & 340 & 356.263 & 565.417 & -209.154 & -16.263 \tabularnewline
65 & 470 & 509.857 & 563.75 & -53.8932 & -39.8568 \tabularnewline
66 & 540 & 488.867 & 560.417 & -71.5495 & 51.1328 \tabularnewline
67 & 680 & 632.982 & 555.833 & 77.1484 & 47.0182 \tabularnewline
68 & 670 & 610.169 & 557.5 & 52.6693 & 59.8307 \tabularnewline
69 & 540 & 545.221 & 562.917 & -17.6953 & -5.22135 \tabularnewline
70 & 630 & 666.523 & 563.75 & 102.773 & -36.5234 \tabularnewline
71 & 560 & 591.784 & 564.167 & 27.6172 & -31.7839 \tabularnewline
72 & 800 & 796.419 & 567.083 & 229.336 & 3.58073 \tabularnewline
73 & 610 & 637.565 & 569.583 & 67.9818 & -27.5651 \tabularnewline
74 & 490 & 473.503 & 569.167 & -95.6641 & 16.4974 \tabularnewline
75 & 440 & 456.263 & 565.833 & -109.57 & -16.263 \tabularnewline
76 & 330 & 356.68 & 565.833 & -209.154 & -26.6797 \tabularnewline
77 & 490 & 513.607 & 567.5 & -53.8932 & -23.6068 \tabularnewline
78 & 590 & 496.367 & 567.917 & -71.5495 & 93.6328 \tabularnewline
79 & 690 & 649.648 & 572.5 & 77.1484 & 40.3516 \tabularnewline
80 & 650 & 628.919 & 576.25 & 52.6693 & 21.0807 \tabularnewline
81 & 480 & 559.805 & 577.5 & -17.6953 & -79.8047 \tabularnewline
82 & 690 & 680.273 & 577.5 & 102.773 & 9.72656 \tabularnewline
83 & 540 & 604.284 & 576.667 & 27.6172 & -64.2839 \tabularnewline
84 & 830 & 801.003 & 571.667 & 229.336 & 28.9974 \tabularnewline
85 & 690 & 635.482 & 567.5 & 67.9818 & 54.5182 \tabularnewline
86 & 500 & 475.169 & 570.833 & -95.6641 & 24.8307 \tabularnewline
87 & 460 & 466.263 & 575.833 & -109.57 & -6.26302 \tabularnewline
88 & 310 & 369.596 & 578.75 & -209.154 & -59.5964 \tabularnewline
89 & 490 & 524.44 & 578.333 & -53.8932 & -34.4401 \tabularnewline
90 & 470 & 505.117 & 576.667 & -71.5495 & -35.1172 \tabularnewline
91 & 710 & 652.982 & 575.833 & 77.1484 & 57.0182 \tabularnewline
92 & 710 & 628.919 & 576.25 & 52.6693 & 81.0807 \tabularnewline
93 & 540 & 556.055 & 573.75 & -17.6953 & -16.0547 \tabularnewline
94 & 700 & 671.94 & 569.167 & 102.773 & 28.0599 \tabularnewline
95 & 520 & 596.784 & 569.167 & 27.6172 & -76.7839 \tabularnewline
96 & 810 & 801.836 & 572.5 & 229.336 & 8.16406 \tabularnewline
97 & 690 & 640.482 & 572.5 & 67.9818 & 49.5182 \tabularnewline
98 & 510 & 477.669 & 573.333 & -95.6641 & 32.3307 \tabularnewline
99 & 390 & 467.513 & 577.083 & -109.57 & -77.513 \tabularnewline
100 & 270 & 366.68 & 575.833 & -209.154 & -96.6797 \tabularnewline
101 & 530 & 517.773 & 571.667 & -53.8932 & 12.2266 \tabularnewline
102 & 510 & 499.284 & 570.833 & -71.5495 & 10.7161 \tabularnewline
103 & 670 & NA & NA & 77.1484 & NA \tabularnewline
104 & 770 & NA & NA & 52.6693 & NA \tabularnewline
105 & 570 & NA & NA & -17.6953 & NA \tabularnewline
106 & 640 & NA & NA & 102.773 & NA \tabularnewline
107 & 480 & NA & NA & 27.6172 & NA \tabularnewline
108 & 830 & NA & NA & 229.336 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&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]540[/C][C]NA[/C][C]NA[/C][C]67.9818[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]520[/C][C]NA[/C][C]NA[/C][C]-95.6641[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]550[/C][C]NA[/C][C]NA[/C][C]-109.57[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]440[/C][C]NA[/C][C]NA[/C][C]-209.154[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]570[/C][C]NA[/C][C]NA[/C][C]-53.8932[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]560[/C][C]NA[/C][C]NA[/C][C]-71.5495[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]600[/C][C]660.482[/C][C]583.333[/C][C]77.1484[/C][C]-60.4818[/C][/ROW]
[ROW][C]8[/C][C]620[/C][C]635.586[/C][C]582.917[/C][C]52.6693[/C][C]-15.5859[/C][/ROW]
[ROW][C]9[/C][C]690[/C][C]561.471[/C][C]579.167[/C][C]-17.6953[/C][C]128.529[/C][/ROW]
[ROW][C]10[/C][C]600[/C][C]679.44[/C][C]576.667[/C][C]102.773[/C][C]-79.4401[/C][/ROW]
[ROW][C]11[/C][C]570[/C][C]602.201[/C][C]574.583[/C][C]27.6172[/C][C]-32.2005[/C][/ROW]
[ROW][C]12[/C][C]710[/C][C]799.336[/C][C]570[/C][C]229.336[/C][C]-89.3359[/C][/ROW]
[ROW][C]13[/C][C]600[/C][C]634.232[/C][C]566.25[/C][C]67.9818[/C][C]-34.2318[/C][/ROW]
[ROW][C]14[/C][C]450[/C][C]468.086[/C][C]563.75[/C][C]-95.6641[/C][C]-18.0859[/C][/ROW]
[ROW][C]15[/C][C]530[/C][C]446.68[/C][C]556.25[/C][C]-109.57[/C][C]83.3203[/C][/ROW]
[ROW][C]16[/C][C]400[/C][C]344.596[/C][C]553.75[/C][C]-209.154[/C][C]55.4036[/C][/ROW]
[ROW][C]17[/C][C]560[/C][C]504.857[/C][C]558.75[/C][C]-53.8932[/C][C]55.1432[/C][/ROW]
[ROW][C]18[/C][C]460[/C][C]492.201[/C][C]563.75[/C][C]-71.5495[/C][C]-32.2005[/C][/ROW]
[ROW][C]19[/C][C]610[/C][C]640.898[/C][C]563.75[/C][C]77.1484[/C][C]-30.8984[/C][/ROW]
[ROW][C]20[/C][C]550[/C][C]614.753[/C][C]562.083[/C][C]52.6693[/C][C]-64.7526[/C][/ROW]
[ROW][C]21[/C][C]580[/C][C]543.971[/C][C]561.667[/C][C]-17.6953[/C][C]36.0286[/C][/ROW]
[ROW][C]22[/C][C]650[/C][C]662.357[/C][C]559.583[/C][C]102.773[/C][C]-12.3568[/C][/ROW]
[ROW][C]23[/C][C]640[/C][C]584.701[/C][C]557.083[/C][C]27.6172[/C][C]55.2995[/C][/ROW]
[ROW][C]24[/C][C]760[/C][C]783.086[/C][C]553.75[/C][C]229.336[/C][C]-23.0859[/C][/ROW]
[ROW][C]25[/C][C]550[/C][C]618.398[/C][C]550.417[/C][C]67.9818[/C][C]-68.3984[/C][/ROW]
[ROW][C]26[/C][C]460[/C][C]453.503[/C][C]549.167[/C][C]-95.6641[/C][C]6.4974[/C][/ROW]
[ROW][C]27[/C][C]510[/C][C]435.846[/C][C]545.417[/C][C]-109.57[/C][C]74.1536[/C][/ROW]
[ROW][C]28[/C][C]370[/C][C]334.596[/C][C]543.75[/C][C]-209.154[/C][C]35.4036[/C][/ROW]
[ROW][C]29[/C][C]530[/C][C]491.523[/C][C]545.417[/C][C]-53.8932[/C][C]38.4766[/C][/ROW]
[ROW][C]30[/C][C]410[/C][C]471.784[/C][C]543.333[/C][C]-71.5495[/C][C]-61.7839[/C][/ROW]
[ROW][C]31[/C][C]580[/C][C]618.398[/C][C]541.25[/C][C]77.1484[/C][C]-38.3984[/C][/ROW]
[ROW][C]32[/C][C]550[/C][C]595.169[/C][C]542.5[/C][C]52.6693[/C][C]-45.1693[/C][/ROW]
[ROW][C]33[/C][C]490[/C][C]523.971[/C][C]541.667[/C][C]-17.6953[/C][C]-33.9714[/C][/ROW]
[ROW][C]34[/C][C]700[/C][C]641.94[/C][C]539.167[/C][C]102.773[/C][C]58.0599[/C][/ROW]
[ROW][C]35[/C][C]630[/C][C]565.117[/C][C]537.5[/C][C]27.6172[/C][C]64.8828[/C][/ROW]
[ROW][C]36[/C][C]720[/C][C]766.419[/C][C]537.083[/C][C]229.336[/C][C]-46.4193[/C][/ROW]
[ROW][C]37[/C][C]540[/C][C]607.148[/C][C]539.167[/C][C]67.9818[/C][C]-67.1484[/C][/ROW]
[ROW][C]38[/C][C]500[/C][C]445.586[/C][C]541.25[/C][C]-95.6641[/C][C]54.4141[/C][/ROW]
[ROW][C]39[/C][C]450[/C][C]433.346[/C][C]542.917[/C][C]-109.57[/C][C]16.6536[/C][/ROW]
[ROW][C]40[/C][C]370[/C][C]332.93[/C][C]542.083[/C][C]-209.154[/C][C]37.0703[/C][/ROW]
[ROW][C]41[/C][C]490[/C][C]486.523[/C][C]540.417[/C][C]-53.8932[/C][C]3.47656[/C][/ROW]
[ROW][C]42[/C][C]440[/C][C]471.784[/C][C]543.333[/C][C]-71.5495[/C][C]-31.7839[/C][/ROW]
[ROW][C]43[/C][C]600[/C][C]627.982[/C][C]550.833[/C][C]77.1484[/C][C]-27.9818[/C][/ROW]
[ROW][C]44[/C][C]580[/C][C]603.086[/C][C]550.417[/C][C]52.6693[/C][C]-23.0859[/C][/ROW]
[ROW][C]45[/C][C]500[/C][C]525.638[/C][C]543.333[/C][C]-17.6953[/C][C]-25.638[/C][/ROW]
[ROW][C]46[/C][C]670[/C][C]644.44[/C][C]541.667[/C][C]102.773[/C][C]25.5599[/C][/ROW]
[ROW][C]47[/C][C]620[/C][C]568.867[/C][C]541.25[/C][C]27.6172[/C][C]51.1328[/C][/ROW]
[ROW][C]48[/C][C]800[/C][C]770.169[/C][C]540.833[/C][C]229.336[/C][C]29.8307[/C][/ROW]
[ROW][C]49[/C][C]640[/C][C]610.482[/C][C]542.5[/C][C]67.9818[/C][C]29.5182[/C][/ROW]
[ROW][C]50[/C][C]390[/C][C]447.253[/C][C]542.917[/C][C]-95.6641[/C][C]-57.2526[/C][/ROW]
[ROW][C]51[/C][C]390[/C][C]433.346[/C][C]542.917[/C][C]-109.57[/C][C]-43.3464[/C][/ROW]
[ROW][C]52[/C][C]390[/C][C]332.93[/C][C]542.083[/C][C]-209.154[/C][C]57.0703[/C][/ROW]
[ROW][C]53[/C][C]460[/C][C]485.69[/C][C]539.583[/C][C]-53.8932[/C][C]-25.6901[/C][/ROW]
[ROW][C]54[/C][C]460[/C][C]468.867[/C][C]540.417[/C][C]-71.5495[/C][C]-8.86719[/C][/ROW]
[ROW][C]55[/C][C]620[/C][C]620.898[/C][C]543.75[/C][C]77.1484[/C][C]-0.898437[/C][/ROW]
[ROW][C]56[/C][C]570[/C][C]597.669[/C][C]545[/C][C]52.6693[/C][C]-27.6693[/C][/ROW]
[ROW][C]57[/C][C]510[/C][C]528.138[/C][C]545.833[/C][C]-17.6953[/C][C]-18.138[/C][/ROW]
[ROW][C]58[/C][C]640[/C][C]647.357[/C][C]544.583[/C][C]102.773[/C][C]-7.35677[/C][/ROW]
[ROW][C]59[/C][C]590[/C][C]570.534[/C][C]542.917[/C][C]27.6172[/C][C]19.4661[/C][/ROW]
[ROW][C]60[/C][C]850[/C][C]776.003[/C][C]546.667[/C][C]229.336[/C][C]73.9974[/C][/ROW]
[ROW][C]61[/C][C]670[/C][C]620.482[/C][C]552.5[/C][C]67.9818[/C][C]49.5182[/C][/ROW]
[ROW][C]62[/C][C]390[/C][C]463.503[/C][C]559.167[/C][C]-95.6641[/C][C]-73.5026[/C][/ROW]
[ROW][C]63[/C][C]410[/C][C]455.013[/C][C]564.583[/C][C]-109.57[/C][C]-45.013[/C][/ROW]
[ROW][C]64[/C][C]340[/C][C]356.263[/C][C]565.417[/C][C]-209.154[/C][C]-16.263[/C][/ROW]
[ROW][C]65[/C][C]470[/C][C]509.857[/C][C]563.75[/C][C]-53.8932[/C][C]-39.8568[/C][/ROW]
[ROW][C]66[/C][C]540[/C][C]488.867[/C][C]560.417[/C][C]-71.5495[/C][C]51.1328[/C][/ROW]
[ROW][C]67[/C][C]680[/C][C]632.982[/C][C]555.833[/C][C]77.1484[/C][C]47.0182[/C][/ROW]
[ROW][C]68[/C][C]670[/C][C]610.169[/C][C]557.5[/C][C]52.6693[/C][C]59.8307[/C][/ROW]
[ROW][C]69[/C][C]540[/C][C]545.221[/C][C]562.917[/C][C]-17.6953[/C][C]-5.22135[/C][/ROW]
[ROW][C]70[/C][C]630[/C][C]666.523[/C][C]563.75[/C][C]102.773[/C][C]-36.5234[/C][/ROW]
[ROW][C]71[/C][C]560[/C][C]591.784[/C][C]564.167[/C][C]27.6172[/C][C]-31.7839[/C][/ROW]
[ROW][C]72[/C][C]800[/C][C]796.419[/C][C]567.083[/C][C]229.336[/C][C]3.58073[/C][/ROW]
[ROW][C]73[/C][C]610[/C][C]637.565[/C][C]569.583[/C][C]67.9818[/C][C]-27.5651[/C][/ROW]
[ROW][C]74[/C][C]490[/C][C]473.503[/C][C]569.167[/C][C]-95.6641[/C][C]16.4974[/C][/ROW]
[ROW][C]75[/C][C]440[/C][C]456.263[/C][C]565.833[/C][C]-109.57[/C][C]-16.263[/C][/ROW]
[ROW][C]76[/C][C]330[/C][C]356.68[/C][C]565.833[/C][C]-209.154[/C][C]-26.6797[/C][/ROW]
[ROW][C]77[/C][C]490[/C][C]513.607[/C][C]567.5[/C][C]-53.8932[/C][C]-23.6068[/C][/ROW]
[ROW][C]78[/C][C]590[/C][C]496.367[/C][C]567.917[/C][C]-71.5495[/C][C]93.6328[/C][/ROW]
[ROW][C]79[/C][C]690[/C][C]649.648[/C][C]572.5[/C][C]77.1484[/C][C]40.3516[/C][/ROW]
[ROW][C]80[/C][C]650[/C][C]628.919[/C][C]576.25[/C][C]52.6693[/C][C]21.0807[/C][/ROW]
[ROW][C]81[/C][C]480[/C][C]559.805[/C][C]577.5[/C][C]-17.6953[/C][C]-79.8047[/C][/ROW]
[ROW][C]82[/C][C]690[/C][C]680.273[/C][C]577.5[/C][C]102.773[/C][C]9.72656[/C][/ROW]
[ROW][C]83[/C][C]540[/C][C]604.284[/C][C]576.667[/C][C]27.6172[/C][C]-64.2839[/C][/ROW]
[ROW][C]84[/C][C]830[/C][C]801.003[/C][C]571.667[/C][C]229.336[/C][C]28.9974[/C][/ROW]
[ROW][C]85[/C][C]690[/C][C]635.482[/C][C]567.5[/C][C]67.9818[/C][C]54.5182[/C][/ROW]
[ROW][C]86[/C][C]500[/C][C]475.169[/C][C]570.833[/C][C]-95.6641[/C][C]24.8307[/C][/ROW]
[ROW][C]87[/C][C]460[/C][C]466.263[/C][C]575.833[/C][C]-109.57[/C][C]-6.26302[/C][/ROW]
[ROW][C]88[/C][C]310[/C][C]369.596[/C][C]578.75[/C][C]-209.154[/C][C]-59.5964[/C][/ROW]
[ROW][C]89[/C][C]490[/C][C]524.44[/C][C]578.333[/C][C]-53.8932[/C][C]-34.4401[/C][/ROW]
[ROW][C]90[/C][C]470[/C][C]505.117[/C][C]576.667[/C][C]-71.5495[/C][C]-35.1172[/C][/ROW]
[ROW][C]91[/C][C]710[/C][C]652.982[/C][C]575.833[/C][C]77.1484[/C][C]57.0182[/C][/ROW]
[ROW][C]92[/C][C]710[/C][C]628.919[/C][C]576.25[/C][C]52.6693[/C][C]81.0807[/C][/ROW]
[ROW][C]93[/C][C]540[/C][C]556.055[/C][C]573.75[/C][C]-17.6953[/C][C]-16.0547[/C][/ROW]
[ROW][C]94[/C][C]700[/C][C]671.94[/C][C]569.167[/C][C]102.773[/C][C]28.0599[/C][/ROW]
[ROW][C]95[/C][C]520[/C][C]596.784[/C][C]569.167[/C][C]27.6172[/C][C]-76.7839[/C][/ROW]
[ROW][C]96[/C][C]810[/C][C]801.836[/C][C]572.5[/C][C]229.336[/C][C]8.16406[/C][/ROW]
[ROW][C]97[/C][C]690[/C][C]640.482[/C][C]572.5[/C][C]67.9818[/C][C]49.5182[/C][/ROW]
[ROW][C]98[/C][C]510[/C][C]477.669[/C][C]573.333[/C][C]-95.6641[/C][C]32.3307[/C][/ROW]
[ROW][C]99[/C][C]390[/C][C]467.513[/C][C]577.083[/C][C]-109.57[/C][C]-77.513[/C][/ROW]
[ROW][C]100[/C][C]270[/C][C]366.68[/C][C]575.833[/C][C]-209.154[/C][C]-96.6797[/C][/ROW]
[ROW][C]101[/C][C]530[/C][C]517.773[/C][C]571.667[/C][C]-53.8932[/C][C]12.2266[/C][/ROW]
[ROW][C]102[/C][C]510[/C][C]499.284[/C][C]570.833[/C][C]-71.5495[/C][C]10.7161[/C][/ROW]
[ROW][C]103[/C][C]670[/C][C]NA[/C][C]NA[/C][C]77.1484[/C][C]NA[/C][/ROW]
[ROW][C]104[/C][C]770[/C][C]NA[/C][C]NA[/C][C]52.6693[/C][C]NA[/C][/ROW]
[ROW][C]105[/C][C]570[/C][C]NA[/C][C]NA[/C][C]-17.6953[/C][C]NA[/C][/ROW]
[ROW][C]106[/C][C]640[/C][C]NA[/C][C]NA[/C][C]102.773[/C][C]NA[/C][/ROW]
[ROW][C]107[/C][C]480[/C][C]NA[/C][C]NA[/C][C]27.6172[/C][C]NA[/C][/ROW]
[ROW][C]108[/C][C]830[/C][C]NA[/C][C]NA[/C][C]229.336[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&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
1540NANA67.9818NA
2520NANA-95.6641NA
3550NANA-109.57NA
4440NANA-209.154NA
5570NANA-53.8932NA
6560NANA-71.5495NA
7600660.482583.33377.1484-60.4818
8620635.586582.91752.6693-15.5859
9690561.471579.167-17.6953128.529
10600679.44576.667102.773-79.4401
11570602.201574.58327.6172-32.2005
12710799.336570229.336-89.3359
13600634.232566.2567.9818-34.2318
14450468.086563.75-95.6641-18.0859
15530446.68556.25-109.5783.3203
16400344.596553.75-209.15455.4036
17560504.857558.75-53.893255.1432
18460492.201563.75-71.5495-32.2005
19610640.898563.7577.1484-30.8984
20550614.753562.08352.6693-64.7526
21580543.971561.667-17.695336.0286
22650662.357559.583102.773-12.3568
23640584.701557.08327.617255.2995
24760783.086553.75229.336-23.0859
25550618.398550.41767.9818-68.3984
26460453.503549.167-95.66416.4974
27510435.846545.417-109.5774.1536
28370334.596543.75-209.15435.4036
29530491.523545.417-53.893238.4766
30410471.784543.333-71.5495-61.7839
31580618.398541.2577.1484-38.3984
32550595.169542.552.6693-45.1693
33490523.971541.667-17.6953-33.9714
34700641.94539.167102.77358.0599
35630565.117537.527.617264.8828
36720766.419537.083229.336-46.4193
37540607.148539.16767.9818-67.1484
38500445.586541.25-95.664154.4141
39450433.346542.917-109.5716.6536
40370332.93542.083-209.15437.0703
41490486.523540.417-53.89323.47656
42440471.784543.333-71.5495-31.7839
43600627.982550.83377.1484-27.9818
44580603.086550.41752.6693-23.0859
45500525.638543.333-17.6953-25.638
46670644.44541.667102.77325.5599
47620568.867541.2527.617251.1328
48800770.169540.833229.33629.8307
49640610.482542.567.981829.5182
50390447.253542.917-95.6641-57.2526
51390433.346542.917-109.57-43.3464
52390332.93542.083-209.15457.0703
53460485.69539.583-53.8932-25.6901
54460468.867540.417-71.5495-8.86719
55620620.898543.7577.1484-0.898437
56570597.66954552.6693-27.6693
57510528.138545.833-17.6953-18.138
58640647.357544.583102.773-7.35677
59590570.534542.91727.617219.4661
60850776.003546.667229.33673.9974
61670620.482552.567.981849.5182
62390463.503559.167-95.6641-73.5026
63410455.013564.583-109.57-45.013
64340356.263565.417-209.154-16.263
65470509.857563.75-53.8932-39.8568
66540488.867560.417-71.549551.1328
67680632.982555.83377.148447.0182
68670610.169557.552.669359.8307
69540545.221562.917-17.6953-5.22135
70630666.523563.75102.773-36.5234
71560591.784564.16727.6172-31.7839
72800796.419567.083229.3363.58073
73610637.565569.58367.9818-27.5651
74490473.503569.167-95.664116.4974
75440456.263565.833-109.57-16.263
76330356.68565.833-209.154-26.6797
77490513.607567.5-53.8932-23.6068
78590496.367567.917-71.549593.6328
79690649.648572.577.148440.3516
80650628.919576.2552.669321.0807
81480559.805577.5-17.6953-79.8047
82690680.273577.5102.7739.72656
83540604.284576.66727.6172-64.2839
84830801.003571.667229.33628.9974
85690635.482567.567.981854.5182
86500475.169570.833-95.664124.8307
87460466.263575.833-109.57-6.26302
88310369.596578.75-209.154-59.5964
89490524.44578.333-53.8932-34.4401
90470505.117576.667-71.5495-35.1172
91710652.982575.83377.148457.0182
92710628.919576.2552.669381.0807
93540556.055573.75-17.6953-16.0547
94700671.94569.167102.77328.0599
95520596.784569.16727.6172-76.7839
96810801.836572.5229.3368.16406
97690640.482572.567.981849.5182
98510477.669573.333-95.664132.3307
99390467.513577.083-109.57-77.513
100270366.68575.833-209.154-96.6797
101530517.773571.667-53.893212.2266
102510499.284570.833-71.549510.7161
103670NANA77.1484NA
104770NANA52.6693NA
105570NANA-17.6953NA
106640NANA102.773NA
107480NANA27.6172NA
108830NANA229.336NA



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')