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R Software Module

rwasp_decompose.wasp

Title produced by software

Classical Decomposition

Date of computation

Sun, 25 May 2008 14:19:46 -0600

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Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2008/May/25/t1211747019x0fqe0uogvczf7z.htm/, Retrieved Sat, 07 Feb 2026 03:07:02 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=13211, Retrieved Sat, 07 Feb 2026 03:07:02 +0000

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Estimated Impact

336

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

-       [Classical Decomposition] [cijferreeks - oli...] [2008-05-25 20:19:46] [e744b461908af7c125bdbb2f3548f5e0] [Current]

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Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	6 seconds
R Server	'Herman Ole Andreas Wold' @ 193.190.124.10:1001

\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 & 6 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ 193.190.124.10:1001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=13211&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]6 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=13211&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=13211&T=0

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	6 seconds
R Server	'Herman Ole Andreas Wold' @ 193.190.124.10:1001

Classical Decomposition by Moving Averages
t	Observations	Fit	Trend	Seasonal	Random
1	90.2	NA	NA	0.998519023206978	NA
2	94.3	NA	NA	1.06669196126953	NA
3	96	NA	NA	1.07376666229617	NA
4	99	NA	NA	1.08579573956445	NA
5	103.3	NA	NA	1.07533405895404	NA
6	113.1	NA	NA	1.02186372809591	NA
7	112.8	97.4532878149492	105.966666666667	0.919659840971524	1.15747762368153
8	112.1	96.6980676413774	107.608333333333	0.898611330981591	1.15927859505677
9	107.4	101.726022877044	109.166666666667	0.93184143093475	1.05577704664434
10	111	107.293333820361	110.9875	0.966715475349572	1.03454703146652
11	110.5	109.532306553760	112.716666666667	0.971748986134205	1.00883477648455
12	110.8	112.302775014385	113.5	0.98945176224128	0.98661854068884
13	112.4	113.277822686902	113.445833333333	0.998519023206978	0.992250710103002
14	111.5	121.305098745539	113.720833333333	1.06669196126953	0.919169937233169
15	116.2	124.006627411929	115.4875	1.07376666229617	0.937046691980445
16	122.5	128.567263862260	118.408333333333	1.08579573956445	0.952808641329098
17	121.3	130.639646487178	121.4875	1.07533405895404	0.928508330064296
18	113.9	127.754254839658	125.020833333333	1.02186372809591	0.89155543306917
19	110.7	118.804723789505	129.183333333333	0.919659840971524	0.931781131835596
20	120.8	120.881945086419	134.520833333333	0.898611330981591	0.999322106486946
21	141.1	131.160564076695	140.754166666667	0.93184143093475	1.07578067381208
22	147.4	141.466725873968	146.3375	0.966715475349572	1.04194112848358
23	148	146.551893971365	150.8125	0.971748986134205	1.00988118262681
24	158.1	152.717756786266	154.345833333333	0.98945176224128	1.03524307406680
25	165	156.060202335391	156.291666666667	0.998519023206978	1.05728428856831
26	187	166.763954494975	156.3375	1.06669196126953	1.12134544042391
27	190.3	165.937215574595	154.5375	1.07376666229617	1.14681929150759
28	182.4	164.393999118972	151.404166666667	1.08579573956445	1.10952955082014
29	168.8	159.234571338198	148.079166666667	1.07533405895404	1.06007130600733
30	151.2	147.437904902105	144.283333333333	1.02186372809591	1.02551647149621
31	120.1	128.541622355791	139.770833333333	0.919659840971524	0.934327712681071
32	112.5	121.177737982868	134.85	0.898611330981591	0.928388348162643
33	106.2	120.700644014452	129.529166666667	0.93184143093475	0.879862745283147
34	107.1	120.323852831843	124.466666666667	0.966715475349572	0.890097827482933
35	108.5	117.423718111992	120.8375	0.971748986134205	0.924004125780781
36	106.5	117.612832805080	118.866666666667	0.98945176224128	0.905513433015447
37	108.3	118.224652347706	118.4	0.998519023206978	0.916052598585639
38	125.6	126.611891252854	118.695833333333	1.06669196126953	0.992007928774766
39	124	127.912453646032	119.125	1.07376666229617	0.969413035756013
40	127.2	130.010467366098	119.7375	1.08579573956445	0.978382760841986
41	136.9	129.528467959593	120.454166666667	1.07533405895404	1.05691051671133
42	135.8	123.956327983568	121.304166666667	1.02186372809591	1.09554713510070
43	124.3	112.275138918607	122.083333333333	0.919659840971524	1.10710172525469
44	115.4	109.630582379754	122	0.898611330981591	1.05262598715622
45	113.6	112.884824012487	121.141666666667	0.93184143093475	1.00633544848716
46	114.4	116.295871684554	120.3	0.966715475349572	0.983697859114931
47	118.4	115.694814707495	119.058333333333	0.971748986134205	1.02338207895786
48	117	116.178127749830	117.416666666667	0.98945176224128	1.00707424251094
49	116.5	115.886453635030	116.058333333333	0.998519023206978	1.00529437518989
50	115.4	122.980694034699	115.291666666667	1.06669196126953	0.938358666015005
51	113.6	123.800822134989	115.295833333333	1.07376666229617	0.917602953202794
52	117.4	126.214706426537	116.241666666667	1.08579573956445	0.930161019455621
53	116.9	126.324868575625	117.475	1.07533405895404	0.925391819663893
54	116.4	121.469792911868	118.870833333333	1.02186372809591	0.958262932780776
55	111.1	111.359310993639	121.0875	0.919659840971524	0.997671402675487
56	110.2	111.2518269894	123.804166666667	0.898611330981591	0.990545530641036
57	118.9	117.850762304844	126.470833333333	0.93184143093475	1.00890310486446
58	131.8	124.911723358607	129.2125	0.966715475349572	1.05514515736540
59	130.6	128.845817653178	132.591666666667	0.971748986134205	1.01361458508140
60	138.3	135.183847016215	136.625	0.98945176224128	1.02305122285365
61	148.4	140.841108223344	141.05	0.998519023206978	1.05366964142791
62	148.7	156.270372325986	146.5	1.06669196126953	0.951555933390919
63	144.3	164.004435582462	152.7375	1.07376666229617	0.87985425203604
64	152.5	172.641522590747	159	1.08579573956445	0.883333266015653
65	162.9	178.541298255002	166.033333333333	1.07533405895404	0.912393948022815
66	167.2	178.217291945461	174.404166666667	1.02186372809591	0.938180566962983
67	166.5	NA	NA	0.919659840971524	NA
68	185.6	NA	NA	0.898611330981591	NA
69	193.2	NA	NA	0.93184143093475	NA
70	207.8	NA	NA	0.966715475349572	NA
71	223.4	NA	NA	0.971748986134205	NA
72	246.4	NA	NA	0.98945176224128	NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 90.2 & NA & NA & 0.998519023206978 & NA \tabularnewline
2 & 94.3 & NA & NA & 1.06669196126953 & NA \tabularnewline
3 & 96 & NA & NA & 1.07376666229617 & NA \tabularnewline
4 & 99 & NA & NA & 1.08579573956445 & NA \tabularnewline
5 & 103.3 & NA & NA & 1.07533405895404 & NA \tabularnewline
6 & 113.1 & NA & NA & 1.02186372809591 & NA \tabularnewline
7 & 112.8 & 97.4532878149492 & 105.966666666667 & 0.919659840971524 & 1.15747762368153 \tabularnewline
8 & 112.1 & 96.6980676413774 & 107.608333333333 & 0.898611330981591 & 1.15927859505677 \tabularnewline
9 & 107.4 & 101.726022877044 & 109.166666666667 & 0.93184143093475 & 1.05577704664434 \tabularnewline
10 & 111 & 107.293333820361 & 110.9875 & 0.966715475349572 & 1.03454703146652 \tabularnewline
11 & 110.5 & 109.532306553760 & 112.716666666667 & 0.971748986134205 & 1.00883477648455 \tabularnewline
12 & 110.8 & 112.302775014385 & 113.5 & 0.98945176224128 & 0.98661854068884 \tabularnewline
13 & 112.4 & 113.277822686902 & 113.445833333333 & 0.998519023206978 & 0.992250710103002 \tabularnewline
14 & 111.5 & 121.305098745539 & 113.720833333333 & 1.06669196126953 & 0.919169937233169 \tabularnewline
15 & 116.2 & 124.006627411929 & 115.4875 & 1.07376666229617 & 0.937046691980445 \tabularnewline
16 & 122.5 & 128.567263862260 & 118.408333333333 & 1.08579573956445 & 0.952808641329098 \tabularnewline
17 & 121.3 & 130.639646487178 & 121.4875 & 1.07533405895404 & 0.928508330064296 \tabularnewline
18 & 113.9 & 127.754254839658 & 125.020833333333 & 1.02186372809591 & 0.89155543306917 \tabularnewline
19 & 110.7 & 118.804723789505 & 129.183333333333 & 0.919659840971524 & 0.931781131835596 \tabularnewline
20 & 120.8 & 120.881945086419 & 134.520833333333 & 0.898611330981591 & 0.999322106486946 \tabularnewline
21 & 141.1 & 131.160564076695 & 140.754166666667 & 0.93184143093475 & 1.07578067381208 \tabularnewline
22 & 147.4 & 141.466725873968 & 146.3375 & 0.966715475349572 & 1.04194112848358 \tabularnewline
23 & 148 & 146.551893971365 & 150.8125 & 0.971748986134205 & 1.00988118262681 \tabularnewline
24 & 158.1 & 152.717756786266 & 154.345833333333 & 0.98945176224128 & 1.03524307406680 \tabularnewline
25 & 165 & 156.060202335391 & 156.291666666667 & 0.998519023206978 & 1.05728428856831 \tabularnewline
26 & 187 & 166.763954494975 & 156.3375 & 1.06669196126953 & 1.12134544042391 \tabularnewline
27 & 190.3 & 165.937215574595 & 154.5375 & 1.07376666229617 & 1.14681929150759 \tabularnewline
28 & 182.4 & 164.393999118972 & 151.404166666667 & 1.08579573956445 & 1.10952955082014 \tabularnewline
29 & 168.8 & 159.234571338198 & 148.079166666667 & 1.07533405895404 & 1.06007130600733 \tabularnewline
30 & 151.2 & 147.437904902105 & 144.283333333333 & 1.02186372809591 & 1.02551647149621 \tabularnewline
31 & 120.1 & 128.541622355791 & 139.770833333333 & 0.919659840971524 & 0.934327712681071 \tabularnewline
32 & 112.5 & 121.177737982868 & 134.85 & 0.898611330981591 & 0.928388348162643 \tabularnewline
33 & 106.2 & 120.700644014452 & 129.529166666667 & 0.93184143093475 & 0.879862745283147 \tabularnewline
34 & 107.1 & 120.323852831843 & 124.466666666667 & 0.966715475349572 & 0.890097827482933 \tabularnewline
35 & 108.5 & 117.423718111992 & 120.8375 & 0.971748986134205 & 0.924004125780781 \tabularnewline
36 & 106.5 & 117.612832805080 & 118.866666666667 & 0.98945176224128 & 0.905513433015447 \tabularnewline
37 & 108.3 & 118.224652347706 & 118.4 & 0.998519023206978 & 0.916052598585639 \tabularnewline
38 & 125.6 & 126.611891252854 & 118.695833333333 & 1.06669196126953 & 0.992007928774766 \tabularnewline
39 & 124 & 127.912453646032 & 119.125 & 1.07376666229617 & 0.969413035756013 \tabularnewline
40 & 127.2 & 130.010467366098 & 119.7375 & 1.08579573956445 & 0.978382760841986 \tabularnewline
41 & 136.9 & 129.528467959593 & 120.454166666667 & 1.07533405895404 & 1.05691051671133 \tabularnewline
42 & 135.8 & 123.956327983568 & 121.304166666667 & 1.02186372809591 & 1.09554713510070 \tabularnewline
43 & 124.3 & 112.275138918607 & 122.083333333333 & 0.919659840971524 & 1.10710172525469 \tabularnewline
44 & 115.4 & 109.630582379754 & 122 & 0.898611330981591 & 1.05262598715622 \tabularnewline
45 & 113.6 & 112.884824012487 & 121.141666666667 & 0.93184143093475 & 1.00633544848716 \tabularnewline
46 & 114.4 & 116.295871684554 & 120.3 & 0.966715475349572 & 0.983697859114931 \tabularnewline
47 & 118.4 & 115.694814707495 & 119.058333333333 & 0.971748986134205 & 1.02338207895786 \tabularnewline
48 & 117 & 116.178127749830 & 117.416666666667 & 0.98945176224128 & 1.00707424251094 \tabularnewline
49 & 116.5 & 115.886453635030 & 116.058333333333 & 0.998519023206978 & 1.00529437518989 \tabularnewline
50 & 115.4 & 122.980694034699 & 115.291666666667 & 1.06669196126953 & 0.938358666015005 \tabularnewline
51 & 113.6 & 123.800822134989 & 115.295833333333 & 1.07376666229617 & 0.917602953202794 \tabularnewline
52 & 117.4 & 126.214706426537 & 116.241666666667 & 1.08579573956445 & 0.930161019455621 \tabularnewline
53 & 116.9 & 126.324868575625 & 117.475 & 1.07533405895404 & 0.925391819663893 \tabularnewline
54 & 116.4 & 121.469792911868 & 118.870833333333 & 1.02186372809591 & 0.958262932780776 \tabularnewline
55 & 111.1 & 111.359310993639 & 121.0875 & 0.919659840971524 & 0.997671402675487 \tabularnewline
56 & 110.2 & 111.2518269894 & 123.804166666667 & 0.898611330981591 & 0.990545530641036 \tabularnewline
57 & 118.9 & 117.850762304844 & 126.470833333333 & 0.93184143093475 & 1.00890310486446 \tabularnewline
58 & 131.8 & 124.911723358607 & 129.2125 & 0.966715475349572 & 1.05514515736540 \tabularnewline
59 & 130.6 & 128.845817653178 & 132.591666666667 & 0.971748986134205 & 1.01361458508140 \tabularnewline
60 & 138.3 & 135.183847016215 & 136.625 & 0.98945176224128 & 1.02305122285365 \tabularnewline
61 & 148.4 & 140.841108223344 & 141.05 & 0.998519023206978 & 1.05366964142791 \tabularnewline
62 & 148.7 & 156.270372325986 & 146.5 & 1.06669196126953 & 0.951555933390919 \tabularnewline
63 & 144.3 & 164.004435582462 & 152.7375 & 1.07376666229617 & 0.87985425203604 \tabularnewline
64 & 152.5 & 172.641522590747 & 159 & 1.08579573956445 & 0.883333266015653 \tabularnewline
65 & 162.9 & 178.541298255002 & 166.033333333333 & 1.07533405895404 & 0.912393948022815 \tabularnewline
66 & 167.2 & 178.217291945461 & 174.404166666667 & 1.02186372809591 & 0.938180566962983 \tabularnewline
67 & 166.5 & NA & NA & 0.919659840971524 & NA \tabularnewline
68 & 185.6 & NA & NA & 0.898611330981591 & NA \tabularnewline
69 & 193.2 & NA & NA & 0.93184143093475 & NA \tabularnewline
70 & 207.8 & NA & NA & 0.966715475349572 & NA \tabularnewline
71 & 223.4 & NA & NA & 0.971748986134205 & NA \tabularnewline
72 & 246.4 & NA & NA & 0.98945176224128 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=13211&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]90.2[/C][C]NA[/C][C]NA[/C][C]0.998519023206978[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]94.3[/C][C]NA[/C][C]NA[/C][C]1.06669196126953[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]96[/C][C]NA[/C][C]NA[/C][C]1.07376666229617[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]99[/C][C]NA[/C][C]NA[/C][C]1.08579573956445[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]103.3[/C][C]NA[/C][C]NA[/C][C]1.07533405895404[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]113.1[/C][C]NA[/C][C]NA[/C][C]1.02186372809591[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]112.8[/C][C]97.4532878149492[/C][C]105.966666666667[/C][C]0.919659840971524[/C][C]1.15747762368153[/C][/ROW]
[ROW][C]8[/C][C]112.1[/C][C]96.6980676413774[/C][C]107.608333333333[/C][C]0.898611330981591[/C][C]1.15927859505677[/C][/ROW]
[ROW][C]9[/C][C]107.4[/C][C]101.726022877044[/C][C]109.166666666667[/C][C]0.93184143093475[/C][C]1.05577704664434[/C][/ROW]
[ROW][C]10[/C][C]111[/C][C]107.293333820361[/C][C]110.9875[/C][C]0.966715475349572[/C][C]1.03454703146652[/C][/ROW]
[ROW][C]11[/C][C]110.5[/C][C]109.532306553760[/C][C]112.716666666667[/C][C]0.971748986134205[/C][C]1.00883477648455[/C][/ROW]
[ROW][C]12[/C][C]110.8[/C][C]112.302775014385[/C][C]113.5[/C][C]0.98945176224128[/C][C]0.98661854068884[/C][/ROW]
[ROW][C]13[/C][C]112.4[/C][C]113.277822686902[/C][C]113.445833333333[/C][C]0.998519023206978[/C][C]0.992250710103002[/C][/ROW]
[ROW][C]14[/C][C]111.5[/C][C]121.305098745539[/C][C]113.720833333333[/C][C]1.06669196126953[/C][C]0.919169937233169[/C][/ROW]
[ROW][C]15[/C][C]116.2[/C][C]124.006627411929[/C][C]115.4875[/C][C]1.07376666229617[/C][C]0.937046691980445[/C][/ROW]
[ROW][C]16[/C][C]122.5[/C][C]128.567263862260[/C][C]118.408333333333[/C][C]1.08579573956445[/C][C]0.952808641329098[/C][/ROW]
[ROW][C]17[/C][C]121.3[/C][C]130.639646487178[/C][C]121.4875[/C][C]1.07533405895404[/C][C]0.928508330064296[/C][/ROW]
[ROW][C]18[/C][C]113.9[/C][C]127.754254839658[/C][C]125.020833333333[/C][C]1.02186372809591[/C][C]0.89155543306917[/C][/ROW]
[ROW][C]19[/C][C]110.7[/C][C]118.804723789505[/C][C]129.183333333333[/C][C]0.919659840971524[/C][C]0.931781131835596[/C][/ROW]
[ROW][C]20[/C][C]120.8[/C][C]120.881945086419[/C][C]134.520833333333[/C][C]0.898611330981591[/C][C]0.999322106486946[/C][/ROW]
[ROW][C]21[/C][C]141.1[/C][C]131.160564076695[/C][C]140.754166666667[/C][C]0.93184143093475[/C][C]1.07578067381208[/C][/ROW]
[ROW][C]22[/C][C]147.4[/C][C]141.466725873968[/C][C]146.3375[/C][C]0.966715475349572[/C][C]1.04194112848358[/C][/ROW]
[ROW][C]23[/C][C]148[/C][C]146.551893971365[/C][C]150.8125[/C][C]0.971748986134205[/C][C]1.00988118262681[/C][/ROW]
[ROW][C]24[/C][C]158.1[/C][C]152.717756786266[/C][C]154.345833333333[/C][C]0.98945176224128[/C][C]1.03524307406680[/C][/ROW]
[ROW][C]25[/C][C]165[/C][C]156.060202335391[/C][C]156.291666666667[/C][C]0.998519023206978[/C][C]1.05728428856831[/C][/ROW]
[ROW][C]26[/C][C]187[/C][C]166.763954494975[/C][C]156.3375[/C][C]1.06669196126953[/C][C]1.12134544042391[/C][/ROW]
[ROW][C]27[/C][C]190.3[/C][C]165.937215574595[/C][C]154.5375[/C][C]1.07376666229617[/C][C]1.14681929150759[/C][/ROW]
[ROW][C]28[/C][C]182.4[/C][C]164.393999118972[/C][C]151.404166666667[/C][C]1.08579573956445[/C][C]1.10952955082014[/C][/ROW]
[ROW][C]29[/C][C]168.8[/C][C]159.234571338198[/C][C]148.079166666667[/C][C]1.07533405895404[/C][C]1.06007130600733[/C][/ROW]
[ROW][C]30[/C][C]151.2[/C][C]147.437904902105[/C][C]144.283333333333[/C][C]1.02186372809591[/C][C]1.02551647149621[/C][/ROW]
[ROW][C]31[/C][C]120.1[/C][C]128.541622355791[/C][C]139.770833333333[/C][C]0.919659840971524[/C][C]0.934327712681071[/C][/ROW]
[ROW][C]32[/C][C]112.5[/C][C]121.177737982868[/C][C]134.85[/C][C]0.898611330981591[/C][C]0.928388348162643[/C][/ROW]
[ROW][C]33[/C][C]106.2[/C][C]120.700644014452[/C][C]129.529166666667[/C][C]0.93184143093475[/C][C]0.879862745283147[/C][/ROW]
[ROW][C]34[/C][C]107.1[/C][C]120.323852831843[/C][C]124.466666666667[/C][C]0.966715475349572[/C][C]0.890097827482933[/C][/ROW]
[ROW][C]35[/C][C]108.5[/C][C]117.423718111992[/C][C]120.8375[/C][C]0.971748986134205[/C][C]0.924004125780781[/C][/ROW]
[ROW][C]36[/C][C]106.5[/C][C]117.612832805080[/C][C]118.866666666667[/C][C]0.98945176224128[/C][C]0.905513433015447[/C][/ROW]
[ROW][C]37[/C][C]108.3[/C][C]118.224652347706[/C][C]118.4[/C][C]0.998519023206978[/C][C]0.916052598585639[/C][/ROW]
[ROW][C]38[/C][C]125.6[/C][C]126.611891252854[/C][C]118.695833333333[/C][C]1.06669196126953[/C][C]0.992007928774766[/C][/ROW]
[ROW][C]39[/C][C]124[/C][C]127.912453646032[/C][C]119.125[/C][C]1.07376666229617[/C][C]0.969413035756013[/C][/ROW]
[ROW][C]40[/C][C]127.2[/C][C]130.010467366098[/C][C]119.7375[/C][C]1.08579573956445[/C][C]0.978382760841986[/C][/ROW]
[ROW][C]41[/C][C]136.9[/C][C]129.528467959593[/C][C]120.454166666667[/C][C]1.07533405895404[/C][C]1.05691051671133[/C][/ROW]
[ROW][C]42[/C][C]135.8[/C][C]123.956327983568[/C][C]121.304166666667[/C][C]1.02186372809591[/C][C]1.09554713510070[/C][/ROW]
[ROW][C]43[/C][C]124.3[/C][C]112.275138918607[/C][C]122.083333333333[/C][C]0.919659840971524[/C][C]1.10710172525469[/C][/ROW]
[ROW][C]44[/C][C]115.4[/C][C]109.630582379754[/C][C]122[/C][C]0.898611330981591[/C][C]1.05262598715622[/C][/ROW]
[ROW][C]45[/C][C]113.6[/C][C]112.884824012487[/C][C]121.141666666667[/C][C]0.93184143093475[/C][C]1.00633544848716[/C][/ROW]
[ROW][C]46[/C][C]114.4[/C][C]116.295871684554[/C][C]120.3[/C][C]0.966715475349572[/C][C]0.983697859114931[/C][/ROW]
[ROW][C]47[/C][C]118.4[/C][C]115.694814707495[/C][C]119.058333333333[/C][C]0.971748986134205[/C][C]1.02338207895786[/C][/ROW]
[ROW][C]48[/C][C]117[/C][C]116.178127749830[/C][C]117.416666666667[/C][C]0.98945176224128[/C][C]1.00707424251094[/C][/ROW]
[ROW][C]49[/C][C]116.5[/C][C]115.886453635030[/C][C]116.058333333333[/C][C]0.998519023206978[/C][C]1.00529437518989[/C][/ROW]
[ROW][C]50[/C][C]115.4[/C][C]122.980694034699[/C][C]115.291666666667[/C][C]1.06669196126953[/C][C]0.938358666015005[/C][/ROW]
[ROW][C]51[/C][C]113.6[/C][C]123.800822134989[/C][C]115.295833333333[/C][C]1.07376666229617[/C][C]0.917602953202794[/C][/ROW]
[ROW][C]52[/C][C]117.4[/C][C]126.214706426537[/C][C]116.241666666667[/C][C]1.08579573956445[/C][C]0.930161019455621[/C][/ROW]
[ROW][C]53[/C][C]116.9[/C][C]126.324868575625[/C][C]117.475[/C][C]1.07533405895404[/C][C]0.925391819663893[/C][/ROW]
[ROW][C]54[/C][C]116.4[/C][C]121.469792911868[/C][C]118.870833333333[/C][C]1.02186372809591[/C][C]0.958262932780776[/C][/ROW]
[ROW][C]55[/C][C]111.1[/C][C]111.359310993639[/C][C]121.0875[/C][C]0.919659840971524[/C][C]0.997671402675487[/C][/ROW]
[ROW][C]56[/C][C]110.2[/C][C]111.2518269894[/C][C]123.804166666667[/C][C]0.898611330981591[/C][C]0.990545530641036[/C][/ROW]
[ROW][C]57[/C][C]118.9[/C][C]117.850762304844[/C][C]126.470833333333[/C][C]0.93184143093475[/C][C]1.00890310486446[/C][/ROW]
[ROW][C]58[/C][C]131.8[/C][C]124.911723358607[/C][C]129.2125[/C][C]0.966715475349572[/C][C]1.05514515736540[/C][/ROW]
[ROW][C]59[/C][C]130.6[/C][C]128.845817653178[/C][C]132.591666666667[/C][C]0.971748986134205[/C][C]1.01361458508140[/C][/ROW]
[ROW][C]60[/C][C]138.3[/C][C]135.183847016215[/C][C]136.625[/C][C]0.98945176224128[/C][C]1.02305122285365[/C][/ROW]
[ROW][C]61[/C][C]148.4[/C][C]140.841108223344[/C][C]141.05[/C][C]0.998519023206978[/C][C]1.05366964142791[/C][/ROW]
[ROW][C]62[/C][C]148.7[/C][C]156.270372325986[/C][C]146.5[/C][C]1.06669196126953[/C][C]0.951555933390919[/C][/ROW]
[ROW][C]63[/C][C]144.3[/C][C]164.004435582462[/C][C]152.7375[/C][C]1.07376666229617[/C][C]0.87985425203604[/C][/ROW]
[ROW][C]64[/C][C]152.5[/C][C]172.641522590747[/C][C]159[/C][C]1.08579573956445[/C][C]0.883333266015653[/C][/ROW]
[ROW][C]65[/C][C]162.9[/C][C]178.541298255002[/C][C]166.033333333333[/C][C]1.07533405895404[/C][C]0.912393948022815[/C][/ROW]
[ROW][C]66[/C][C]167.2[/C][C]178.217291945461[/C][C]174.404166666667[/C][C]1.02186372809591[/C][C]0.938180566962983[/C][/ROW]
[ROW][C]67[/C][C]166.5[/C][C]NA[/C][C]NA[/C][C]0.919659840971524[/C][C]NA[/C][/ROW]
[ROW][C]68[/C][C]185.6[/C][C]NA[/C][C]NA[/C][C]0.898611330981591[/C][C]NA[/C][/ROW]
[ROW][C]69[/C][C]193.2[/C][C]NA[/C][C]NA[/C][C]0.93184143093475[/C][C]NA[/C][/ROW]
[ROW][C]70[/C][C]207.8[/C][C]NA[/C][C]NA[/C][C]0.966715475349572[/C][C]NA[/C][/ROW]
[ROW][C]71[/C][C]223.4[/C][C]NA[/C][C]NA[/C][C]0.971748986134205[/C][C]NA[/C][/ROW]
[ROW][C]72[/C][C]246.4[/C][C]NA[/C][C]NA[/C][C]0.98945176224128[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=13211&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=13211&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
t	Observations	Fit	Trend	Seasonal	Random
1	90.2	NA	NA	0.998519023206978	NA
2	94.3	NA	NA	1.06669196126953	NA
3	96	NA	NA	1.07376666229617	NA
4	99	NA	NA	1.08579573956445	NA
5	103.3	NA	NA	1.07533405895404	NA
6	113.1	NA	NA	1.02186372809591	NA
7	112.8	97.4532878149492	105.966666666667	0.919659840971524	1.15747762368153
8	112.1	96.6980676413774	107.608333333333	0.898611330981591	1.15927859505677
9	107.4	101.726022877044	109.166666666667	0.93184143093475	1.05577704664434
10	111	107.293333820361	110.9875	0.966715475349572	1.03454703146652
11	110.5	109.532306553760	112.716666666667	0.971748986134205	1.00883477648455
12	110.8	112.302775014385	113.5	0.98945176224128	0.98661854068884
13	112.4	113.277822686902	113.445833333333	0.998519023206978	0.992250710103002
14	111.5	121.305098745539	113.720833333333	1.06669196126953	0.919169937233169
15	116.2	124.006627411929	115.4875	1.07376666229617	0.937046691980445
16	122.5	128.567263862260	118.408333333333	1.08579573956445	0.952808641329098
17	121.3	130.639646487178	121.4875	1.07533405895404	0.928508330064296
18	113.9	127.754254839658	125.020833333333	1.02186372809591	0.89155543306917
19	110.7	118.804723789505	129.183333333333	0.919659840971524	0.931781131835596
20	120.8	120.881945086419	134.520833333333	0.898611330981591	0.999322106486946
21	141.1	131.160564076695	140.754166666667	0.93184143093475	1.07578067381208
22	147.4	141.466725873968	146.3375	0.966715475349572	1.04194112848358
23	148	146.551893971365	150.8125	0.971748986134205	1.00988118262681
24	158.1	152.717756786266	154.345833333333	0.98945176224128	1.03524307406680
25	165	156.060202335391	156.291666666667	0.998519023206978	1.05728428856831
26	187	166.763954494975	156.3375	1.06669196126953	1.12134544042391
27	190.3	165.937215574595	154.5375	1.07376666229617	1.14681929150759
28	182.4	164.393999118972	151.404166666667	1.08579573956445	1.10952955082014
29	168.8	159.234571338198	148.079166666667	1.07533405895404	1.06007130600733
30	151.2	147.437904902105	144.283333333333	1.02186372809591	1.02551647149621
31	120.1	128.541622355791	139.770833333333	0.919659840971524	0.934327712681071
32	112.5	121.177737982868	134.85	0.898611330981591	0.928388348162643
33	106.2	120.700644014452	129.529166666667	0.93184143093475	0.879862745283147
34	107.1	120.323852831843	124.466666666667	0.966715475349572	0.890097827482933
35	108.5	117.423718111992	120.8375	0.971748986134205	0.924004125780781
36	106.5	117.612832805080	118.866666666667	0.98945176224128	0.905513433015447
37	108.3	118.224652347706	118.4	0.998519023206978	0.916052598585639
38	125.6	126.611891252854	118.695833333333	1.06669196126953	0.992007928774766
39	124	127.912453646032	119.125	1.07376666229617	0.969413035756013
40	127.2	130.010467366098	119.7375	1.08579573956445	0.978382760841986
41	136.9	129.528467959593	120.454166666667	1.07533405895404	1.05691051671133
42	135.8	123.956327983568	121.304166666667	1.02186372809591	1.09554713510070
43	124.3	112.275138918607	122.083333333333	0.919659840971524	1.10710172525469
44	115.4	109.630582379754	122	0.898611330981591	1.05262598715622
45	113.6	112.884824012487	121.141666666667	0.93184143093475	1.00633544848716
46	114.4	116.295871684554	120.3	0.966715475349572	0.983697859114931
47	118.4	115.694814707495	119.058333333333	0.971748986134205	1.02338207895786
48	117	116.178127749830	117.416666666667	0.98945176224128	1.00707424251094
49	116.5	115.886453635030	116.058333333333	0.998519023206978	1.00529437518989
50	115.4	122.980694034699	115.291666666667	1.06669196126953	0.938358666015005
51	113.6	123.800822134989	115.295833333333	1.07376666229617	0.917602953202794
52	117.4	126.214706426537	116.241666666667	1.08579573956445	0.930161019455621
53	116.9	126.324868575625	117.475	1.07533405895404	0.925391819663893
54	116.4	121.469792911868	118.870833333333	1.02186372809591	0.958262932780776
55	111.1	111.359310993639	121.0875	0.919659840971524	0.997671402675487
56	110.2	111.2518269894	123.804166666667	0.898611330981591	0.990545530641036
57	118.9	117.850762304844	126.470833333333	0.93184143093475	1.00890310486446
58	131.8	124.911723358607	129.2125	0.966715475349572	1.05514515736540
59	130.6	128.845817653178	132.591666666667	0.971748986134205	1.01361458508140
60	138.3	135.183847016215	136.625	0.98945176224128	1.02305122285365
61	148.4	140.841108223344	141.05	0.998519023206978	1.05366964142791
62	148.7	156.270372325986	146.5	1.06669196126953	0.951555933390919
63	144.3	164.004435582462	152.7375	1.07376666229617	0.87985425203604
64	152.5	172.641522590747	159	1.08579573956445	0.883333266015653
65	162.9	178.541298255002	166.033333333333	1.07533405895404	0.912393948022815
66	167.2	178.217291945461	174.404166666667	1.02186372809591	0.938180566962983
67	166.5	NA	NA	0.919659840971524	NA
68	185.6	NA	NA	0.898611330981591	NA
69	193.2	NA	NA	0.93184143093475	NA
70	207.8	NA	NA	0.966715475349572	NA
71	223.4	NA	NA	0.971748986134205	NA
72	246.4	NA	NA	0.98945176224128	NA

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Figure 3

PNG link

Postscript link

PDF link

Figure 4

PNG link

Postscript link

PDF link

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$trend)) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
if (par1 == 'additive') a<-table.element(a,m$trend[i]+m$seasonal[i]) else a<-table.element(a,m$trend[i]*m$seasonal[i])
a<-table.element(a,m$trend[i])
a<-table.element(a,m$seasonal[i])
a<-table.element(a,m$random[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code