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R Software Module

rwasp_decompose.wasp

Title produced by software

Classical Decomposition

Date of computation

Sat, 05 May 2012 08:15:07 -0400

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Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2012/May/05/t13362201447wsvu3kiioesmgu.htm/, Retrieved Sat, 16 May 2026 23:27:20 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=166224, Retrieved Sat, 16 May 2026 23:27:20 +0000

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IsPrivate?

No (this computation is public)

User-defined keywords

KDGP2W92

Estimated Impact

377

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

-       [Classical Decomposition] [] [2012-05-05 12:15:07] [d41d8cd98f00b204e9800998ecf8427e] [Current]

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Dataseries X:

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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	2 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=166224&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=166224&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=166224&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	2 seconds
R Server	'Gwilym Jenkins' @ jenkins.wessa.net

Classical Decomposition by Moving Averages
t	Observations	Fit	Trend	Seasonal	Random
1	105.32	NA	NA	0.993715745772321	NA
2	106.93	NA	NA	0.995162094768801	NA
3	107.99	NA	NA	0.998817266424619	NA
4	109.41	NA	NA	1.00301926065846	NA
5	111.79	NA	NA	1.00336451311754	NA
6	112.7	NA	NA	0.999333467999233	NA
7	113.41	113.179828302283	112.905	1.00243415528349	1.00203368127669
8	115.14	114.007899272006	113.90625	1.00089239415753	1.00993002007074
9	115.6	114.972123033234	114.895416666667	1.00066761902949	1.00546112353326
10	116.21	116.116417101675	115.854166666667	1.00226362540558	1.00080594028528
11	116.9	116.865489755735	116.687916666667	1.00152177786819	1.00029529884602
12	117.31	117.266311085529	117.40625	0.998808079514751	1.00037256151461
13	117.62	117.345822177116	118.087916666667	0.993715745772321	1.00233649411455
14	118.66	118.139838778733	118.714166666667	0.995162094768801	1.00440292814553
15	120	119.148079364071	119.289166666667	0.998817266424619	1.00715009961114
16	120.41	120.221888582523	119.86	1.00301926065846	1.00156470189992
17	120.8	120.835606383292	120.430416666667	1.00336451311754	0.999705332026232
18	120.93	120.915185738457	120.995833333333	0.999333467999233	1.00012251779173
19	121.54	121.860072725242	121.564166666667	1.00243415528349	0.997373440552893
20	122.04	122.25942298484	122.150416666667	1.00089239415753	0.998205267295697
21	122.5	122.84529247079	122.763333333333	1.00066761902949	0.997189208769462
22	123.01	123.799603010097	123.52	1.00226362540558	0.993621926154059
23	123.79	124.607253098656	124.417916666667	1.00152177786819	0.993441368152067
24	123.99	125.199760427108	125.349166666667	0.998808079514751	0.990337358290617
25	124.58	125.476901266898	126.270416666667	0.993715745772321	0.992852060755066
26	125.77	126.545226621674	127.160416666667	0.995162094768801	0.993873916524792
27	127.6	127.925186092777	128.076666666667	0.998817266424619	0.997457997891507
28	130.97	129.431277094136	129.041666666667	1.00301926065846	1.01188833905073
29	131.79	130.474594805974	130.037083333333	1.00336451311754	1.01008169594994
30	132.29	130.968480426529	131.055833333333	0.999333467999233	1.01009036349179
31	132.29	132.38103686584	132.059583333333	1.00243415528349	0.999312311883974
32	132.65	133.17373750463	133.055	1.00089239415753	0.996067261350143
33	133.88	134.12198264757	134.0325	1.00066761902949	0.998195801741126
34	134.79	135.190746722675	134.885416666667	1.00226362540558	0.997035694140391
35	135.9	135.895238136712	135.68875	1.00152177786819	1.00003504069276
36	136.33	136.376422836878	136.539166666667	0.998808079514751	0.999659597781551
37	136.33	136.578776388312	137.4425	0.993715745772321	0.998178513566376
38	137.91	137.746190649169	138.415833333333	0.995162094768801	1.00118921147698
39	138.92	139.213485898819	139.378333333333	0.998817266424619	0.997891828532814
40	140.12	140.736140011141	140.3125	1.00301926065846	0.995622019965221
41	141.92	141.710605078702	141.235416666667	1.00336451311754	1.0014776235073
42	142.57	142.061081921321	142.155833333333	0.999333467999233	1.00358238915117
43	143.69	143.463781814295	143.115416666667	1.00243415528349	1.00157683132875
44	144.61	144.182302724871	144.05375	1.00089239415753	1.00296636457489
45	145.02	145.106811435466	145.01	1.00066761902949	0.99940174114084
46	146.07	146.368909414854	146.038333333333	1.00226362540558	0.997957835335048
47	146.77	147.306744194039	147.082916666667	1.00152177786819	0.996356282280384
48	147.55	147.999219522165	148.175833333333	0.998808079514751	0.996964716951786
49	148.14	148.433391187149	149.372083333333	0.993715745772321	0.998023415184399
50	148.62	149.88882680884	150.6175	0.995162094768801	0.99153488064552
51	151.16	151.779439458163	151.959166666667	0.998817266424619	0.995918818382948
52	152.56	153.998980109889	153.535416666667	1.00301926065846	0.990655911429658
53	154.55	155.805368076721	155.282916666667	1.00336451311754	0.991942716145038
54	156.17	157.024018659885	157.12875	0.999333467999233	0.994561222753225
55	158.8	159.402067202404	159.015	1.00243415528349	0.996222964902708
56	159.39	161.105724956084	160.962083333333	1.00089239415753	0.98935031665354
57	162.44	163.047947954982	162.939166666667	1.00066761902949	0.99627135476032
58	166.48	165.306680616893	164.933333333333	1.00226362540558	1.00709783403023
59	168.3	167.231185363245	166.977083333333	1.00152177786819	1.00639123997377
60	170.32	168.769849705707	168.97125	0.998808079514751	1.00918499540644
61	170.64	169.769296345335	170.842916666667	0.993715745772321	1.00512874632462
62	172.85	171.901397694253	172.737083333333	0.995162094768801	1.00551829315218
63	174.38	174.711867721411	174.91875	0.998817266424619	0.998100485526601
64	177.2	177.770954512187	177.235833333333	1.00301926065846	0.996788257599486
65	178.96	180.164968112479	179.560833333333	1.00336451311754	0.993311862316503
66	179.62	181.771679216995	181.892916666667	0.999333467999233	0.9881627367571
67	180.27	NA	NA	1.00243415528349	NA
68	183.38	NA	NA	1.00089239415753	NA
69	190.81	NA	NA	1.00066761902949	NA
70	193.72	NA	NA	1.00226362540558	NA
71	196.86	NA	NA	1.00152177786819	NA
72	197.73	NA	NA	0.998808079514751	NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 105.32 & NA & NA & 0.993715745772321 & NA \tabularnewline
2 & 106.93 & NA & NA & 0.995162094768801 & NA \tabularnewline
3 & 107.99 & NA & NA & 0.998817266424619 & NA \tabularnewline
4 & 109.41 & NA & NA & 1.00301926065846 & NA \tabularnewline
5 & 111.79 & NA & NA & 1.00336451311754 & NA \tabularnewline
6 & 112.7 & NA & NA & 0.999333467999233 & NA \tabularnewline
7 & 113.41 & 113.179828302283 & 112.905 & 1.00243415528349 & 1.00203368127669 \tabularnewline
8 & 115.14 & 114.007899272006 & 113.90625 & 1.00089239415753 & 1.00993002007074 \tabularnewline
9 & 115.6 & 114.972123033234 & 114.895416666667 & 1.00066761902949 & 1.00546112353326 \tabularnewline
10 & 116.21 & 116.116417101675 & 115.854166666667 & 1.00226362540558 & 1.00080594028528 \tabularnewline
11 & 116.9 & 116.865489755735 & 116.687916666667 & 1.00152177786819 & 1.00029529884602 \tabularnewline
12 & 117.31 & 117.266311085529 & 117.40625 & 0.998808079514751 & 1.00037256151461 \tabularnewline
13 & 117.62 & 117.345822177116 & 118.087916666667 & 0.993715745772321 & 1.00233649411455 \tabularnewline
14 & 118.66 & 118.139838778733 & 118.714166666667 & 0.995162094768801 & 1.00440292814553 \tabularnewline
15 & 120 & 119.148079364071 & 119.289166666667 & 0.998817266424619 & 1.00715009961114 \tabularnewline
16 & 120.41 & 120.221888582523 & 119.86 & 1.00301926065846 & 1.00156470189992 \tabularnewline
17 & 120.8 & 120.835606383292 & 120.430416666667 & 1.00336451311754 & 0.999705332026232 \tabularnewline
18 & 120.93 & 120.915185738457 & 120.995833333333 & 0.999333467999233 & 1.00012251779173 \tabularnewline
19 & 121.54 & 121.860072725242 & 121.564166666667 & 1.00243415528349 & 0.997373440552893 \tabularnewline
20 & 122.04 & 122.25942298484 & 122.150416666667 & 1.00089239415753 & 0.998205267295697 \tabularnewline
21 & 122.5 & 122.84529247079 & 122.763333333333 & 1.00066761902949 & 0.997189208769462 \tabularnewline
22 & 123.01 & 123.799603010097 & 123.52 & 1.00226362540558 & 0.993621926154059 \tabularnewline
23 & 123.79 & 124.607253098656 & 124.417916666667 & 1.00152177786819 & 0.993441368152067 \tabularnewline
24 & 123.99 & 125.199760427108 & 125.349166666667 & 0.998808079514751 & 0.990337358290617 \tabularnewline
25 & 124.58 & 125.476901266898 & 126.270416666667 & 0.993715745772321 & 0.992852060755066 \tabularnewline
26 & 125.77 & 126.545226621674 & 127.160416666667 & 0.995162094768801 & 0.993873916524792 \tabularnewline
27 & 127.6 & 127.925186092777 & 128.076666666667 & 0.998817266424619 & 0.997457997891507 \tabularnewline
28 & 130.97 & 129.431277094136 & 129.041666666667 & 1.00301926065846 & 1.01188833905073 \tabularnewline
29 & 131.79 & 130.474594805974 & 130.037083333333 & 1.00336451311754 & 1.01008169594994 \tabularnewline
30 & 132.29 & 130.968480426529 & 131.055833333333 & 0.999333467999233 & 1.01009036349179 \tabularnewline
31 & 132.29 & 132.38103686584 & 132.059583333333 & 1.00243415528349 & 0.999312311883974 \tabularnewline
32 & 132.65 & 133.17373750463 & 133.055 & 1.00089239415753 & 0.996067261350143 \tabularnewline
33 & 133.88 & 134.12198264757 & 134.0325 & 1.00066761902949 & 0.998195801741126 \tabularnewline
34 & 134.79 & 135.190746722675 & 134.885416666667 & 1.00226362540558 & 0.997035694140391 \tabularnewline
35 & 135.9 & 135.895238136712 & 135.68875 & 1.00152177786819 & 1.00003504069276 \tabularnewline
36 & 136.33 & 136.376422836878 & 136.539166666667 & 0.998808079514751 & 0.999659597781551 \tabularnewline
37 & 136.33 & 136.578776388312 & 137.4425 & 0.993715745772321 & 0.998178513566376 \tabularnewline
38 & 137.91 & 137.746190649169 & 138.415833333333 & 0.995162094768801 & 1.00118921147698 \tabularnewline
39 & 138.92 & 139.213485898819 & 139.378333333333 & 0.998817266424619 & 0.997891828532814 \tabularnewline
40 & 140.12 & 140.736140011141 & 140.3125 & 1.00301926065846 & 0.995622019965221 \tabularnewline
41 & 141.92 & 141.710605078702 & 141.235416666667 & 1.00336451311754 & 1.0014776235073 \tabularnewline
42 & 142.57 & 142.061081921321 & 142.155833333333 & 0.999333467999233 & 1.00358238915117 \tabularnewline
43 & 143.69 & 143.463781814295 & 143.115416666667 & 1.00243415528349 & 1.00157683132875 \tabularnewline
44 & 144.61 & 144.182302724871 & 144.05375 & 1.00089239415753 & 1.00296636457489 \tabularnewline
45 & 145.02 & 145.106811435466 & 145.01 & 1.00066761902949 & 0.99940174114084 \tabularnewline
46 & 146.07 & 146.368909414854 & 146.038333333333 & 1.00226362540558 & 0.997957835335048 \tabularnewline
47 & 146.77 & 147.306744194039 & 147.082916666667 & 1.00152177786819 & 0.996356282280384 \tabularnewline
48 & 147.55 & 147.999219522165 & 148.175833333333 & 0.998808079514751 & 0.996964716951786 \tabularnewline
49 & 148.14 & 148.433391187149 & 149.372083333333 & 0.993715745772321 & 0.998023415184399 \tabularnewline
50 & 148.62 & 149.88882680884 & 150.6175 & 0.995162094768801 & 0.99153488064552 \tabularnewline
51 & 151.16 & 151.779439458163 & 151.959166666667 & 0.998817266424619 & 0.995918818382948 \tabularnewline
52 & 152.56 & 153.998980109889 & 153.535416666667 & 1.00301926065846 & 0.990655911429658 \tabularnewline
53 & 154.55 & 155.805368076721 & 155.282916666667 & 1.00336451311754 & 0.991942716145038 \tabularnewline
54 & 156.17 & 157.024018659885 & 157.12875 & 0.999333467999233 & 0.994561222753225 \tabularnewline
55 & 158.8 & 159.402067202404 & 159.015 & 1.00243415528349 & 0.996222964902708 \tabularnewline
56 & 159.39 & 161.105724956084 & 160.962083333333 & 1.00089239415753 & 0.98935031665354 \tabularnewline
57 & 162.44 & 163.047947954982 & 162.939166666667 & 1.00066761902949 & 0.99627135476032 \tabularnewline
58 & 166.48 & 165.306680616893 & 164.933333333333 & 1.00226362540558 & 1.00709783403023 \tabularnewline
59 & 168.3 & 167.231185363245 & 166.977083333333 & 1.00152177786819 & 1.00639123997377 \tabularnewline
60 & 170.32 & 168.769849705707 & 168.97125 & 0.998808079514751 & 1.00918499540644 \tabularnewline
61 & 170.64 & 169.769296345335 & 170.842916666667 & 0.993715745772321 & 1.00512874632462 \tabularnewline
62 & 172.85 & 171.901397694253 & 172.737083333333 & 0.995162094768801 & 1.00551829315218 \tabularnewline
63 & 174.38 & 174.711867721411 & 174.91875 & 0.998817266424619 & 0.998100485526601 \tabularnewline
64 & 177.2 & 177.770954512187 & 177.235833333333 & 1.00301926065846 & 0.996788257599486 \tabularnewline
65 & 178.96 & 180.164968112479 & 179.560833333333 & 1.00336451311754 & 0.993311862316503 \tabularnewline
66 & 179.62 & 181.771679216995 & 181.892916666667 & 0.999333467999233 & 0.9881627367571 \tabularnewline
67 & 180.27 & NA & NA & 1.00243415528349 & NA \tabularnewline
68 & 183.38 & NA & NA & 1.00089239415753 & NA \tabularnewline
69 & 190.81 & NA & NA & 1.00066761902949 & NA \tabularnewline
70 & 193.72 & NA & NA & 1.00226362540558 & NA \tabularnewline
71 & 196.86 & NA & NA & 1.00152177786819 & NA \tabularnewline
72 & 197.73 & NA & NA & 0.998808079514751 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=166224&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]105.32[/C][C]NA[/C][C]NA[/C][C]0.993715745772321[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]106.93[/C][C]NA[/C][C]NA[/C][C]0.995162094768801[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]107.99[/C][C]NA[/C][C]NA[/C][C]0.998817266424619[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]109.41[/C][C]NA[/C][C]NA[/C][C]1.00301926065846[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]111.79[/C][C]NA[/C][C]NA[/C][C]1.00336451311754[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]112.7[/C][C]NA[/C][C]NA[/C][C]0.999333467999233[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]113.41[/C][C]113.179828302283[/C][C]112.905[/C][C]1.00243415528349[/C][C]1.00203368127669[/C][/ROW]
[ROW][C]8[/C][C]115.14[/C][C]114.007899272006[/C][C]113.90625[/C][C]1.00089239415753[/C][C]1.00993002007074[/C][/ROW]
[ROW][C]9[/C][C]115.6[/C][C]114.972123033234[/C][C]114.895416666667[/C][C]1.00066761902949[/C][C]1.00546112353326[/C][/ROW]
[ROW][C]10[/C][C]116.21[/C][C]116.116417101675[/C][C]115.854166666667[/C][C]1.00226362540558[/C][C]1.00080594028528[/C][/ROW]
[ROW][C]11[/C][C]116.9[/C][C]116.865489755735[/C][C]116.687916666667[/C][C]1.00152177786819[/C][C]1.00029529884602[/C][/ROW]
[ROW][C]12[/C][C]117.31[/C][C]117.266311085529[/C][C]117.40625[/C][C]0.998808079514751[/C][C]1.00037256151461[/C][/ROW]
[ROW][C]13[/C][C]117.62[/C][C]117.345822177116[/C][C]118.087916666667[/C][C]0.993715745772321[/C][C]1.00233649411455[/C][/ROW]
[ROW][C]14[/C][C]118.66[/C][C]118.139838778733[/C][C]118.714166666667[/C][C]0.995162094768801[/C][C]1.00440292814553[/C][/ROW]
[ROW][C]15[/C][C]120[/C][C]119.148079364071[/C][C]119.289166666667[/C][C]0.998817266424619[/C][C]1.00715009961114[/C][/ROW]
[ROW][C]16[/C][C]120.41[/C][C]120.221888582523[/C][C]119.86[/C][C]1.00301926065846[/C][C]1.00156470189992[/C][/ROW]
[ROW][C]17[/C][C]120.8[/C][C]120.835606383292[/C][C]120.430416666667[/C][C]1.00336451311754[/C][C]0.999705332026232[/C][/ROW]
[ROW][C]18[/C][C]120.93[/C][C]120.915185738457[/C][C]120.995833333333[/C][C]0.999333467999233[/C][C]1.00012251779173[/C][/ROW]
[ROW][C]19[/C][C]121.54[/C][C]121.860072725242[/C][C]121.564166666667[/C][C]1.00243415528349[/C][C]0.997373440552893[/C][/ROW]
[ROW][C]20[/C][C]122.04[/C][C]122.25942298484[/C][C]122.150416666667[/C][C]1.00089239415753[/C][C]0.998205267295697[/C][/ROW]
[ROW][C]21[/C][C]122.5[/C][C]122.84529247079[/C][C]122.763333333333[/C][C]1.00066761902949[/C][C]0.997189208769462[/C][/ROW]
[ROW][C]22[/C][C]123.01[/C][C]123.799603010097[/C][C]123.52[/C][C]1.00226362540558[/C][C]0.993621926154059[/C][/ROW]
[ROW][C]23[/C][C]123.79[/C][C]124.607253098656[/C][C]124.417916666667[/C][C]1.00152177786819[/C][C]0.993441368152067[/C][/ROW]
[ROW][C]24[/C][C]123.99[/C][C]125.199760427108[/C][C]125.349166666667[/C][C]0.998808079514751[/C][C]0.990337358290617[/C][/ROW]
[ROW][C]25[/C][C]124.58[/C][C]125.476901266898[/C][C]126.270416666667[/C][C]0.993715745772321[/C][C]0.992852060755066[/C][/ROW]
[ROW][C]26[/C][C]125.77[/C][C]126.545226621674[/C][C]127.160416666667[/C][C]0.995162094768801[/C][C]0.993873916524792[/C][/ROW]
[ROW][C]27[/C][C]127.6[/C][C]127.925186092777[/C][C]128.076666666667[/C][C]0.998817266424619[/C][C]0.997457997891507[/C][/ROW]
[ROW][C]28[/C][C]130.97[/C][C]129.431277094136[/C][C]129.041666666667[/C][C]1.00301926065846[/C][C]1.01188833905073[/C][/ROW]
[ROW][C]29[/C][C]131.79[/C][C]130.474594805974[/C][C]130.037083333333[/C][C]1.00336451311754[/C][C]1.01008169594994[/C][/ROW]
[ROW][C]30[/C][C]132.29[/C][C]130.968480426529[/C][C]131.055833333333[/C][C]0.999333467999233[/C][C]1.01009036349179[/C][/ROW]
[ROW][C]31[/C][C]132.29[/C][C]132.38103686584[/C][C]132.059583333333[/C][C]1.00243415528349[/C][C]0.999312311883974[/C][/ROW]
[ROW][C]32[/C][C]132.65[/C][C]133.17373750463[/C][C]133.055[/C][C]1.00089239415753[/C][C]0.996067261350143[/C][/ROW]
[ROW][C]33[/C][C]133.88[/C][C]134.12198264757[/C][C]134.0325[/C][C]1.00066761902949[/C][C]0.998195801741126[/C][/ROW]
[ROW][C]34[/C][C]134.79[/C][C]135.190746722675[/C][C]134.885416666667[/C][C]1.00226362540558[/C][C]0.997035694140391[/C][/ROW]
[ROW][C]35[/C][C]135.9[/C][C]135.895238136712[/C][C]135.68875[/C][C]1.00152177786819[/C][C]1.00003504069276[/C][/ROW]
[ROW][C]36[/C][C]136.33[/C][C]136.376422836878[/C][C]136.539166666667[/C][C]0.998808079514751[/C][C]0.999659597781551[/C][/ROW]
[ROW][C]37[/C][C]136.33[/C][C]136.578776388312[/C][C]137.4425[/C][C]0.993715745772321[/C][C]0.998178513566376[/C][/ROW]
[ROW][C]38[/C][C]137.91[/C][C]137.746190649169[/C][C]138.415833333333[/C][C]0.995162094768801[/C][C]1.00118921147698[/C][/ROW]
[ROW][C]39[/C][C]138.92[/C][C]139.213485898819[/C][C]139.378333333333[/C][C]0.998817266424619[/C][C]0.997891828532814[/C][/ROW]
[ROW][C]40[/C][C]140.12[/C][C]140.736140011141[/C][C]140.3125[/C][C]1.00301926065846[/C][C]0.995622019965221[/C][/ROW]
[ROW][C]41[/C][C]141.92[/C][C]141.710605078702[/C][C]141.235416666667[/C][C]1.00336451311754[/C][C]1.0014776235073[/C][/ROW]
[ROW][C]42[/C][C]142.57[/C][C]142.061081921321[/C][C]142.155833333333[/C][C]0.999333467999233[/C][C]1.00358238915117[/C][/ROW]
[ROW][C]43[/C][C]143.69[/C][C]143.463781814295[/C][C]143.115416666667[/C][C]1.00243415528349[/C][C]1.00157683132875[/C][/ROW]
[ROW][C]44[/C][C]144.61[/C][C]144.182302724871[/C][C]144.05375[/C][C]1.00089239415753[/C][C]1.00296636457489[/C][/ROW]
[ROW][C]45[/C][C]145.02[/C][C]145.106811435466[/C][C]145.01[/C][C]1.00066761902949[/C][C]0.99940174114084[/C][/ROW]
[ROW][C]46[/C][C]146.07[/C][C]146.368909414854[/C][C]146.038333333333[/C][C]1.00226362540558[/C][C]0.997957835335048[/C][/ROW]
[ROW][C]47[/C][C]146.77[/C][C]147.306744194039[/C][C]147.082916666667[/C][C]1.00152177786819[/C][C]0.996356282280384[/C][/ROW]
[ROW][C]48[/C][C]147.55[/C][C]147.999219522165[/C][C]148.175833333333[/C][C]0.998808079514751[/C][C]0.996964716951786[/C][/ROW]
[ROW][C]49[/C][C]148.14[/C][C]148.433391187149[/C][C]149.372083333333[/C][C]0.993715745772321[/C][C]0.998023415184399[/C][/ROW]
[ROW][C]50[/C][C]148.62[/C][C]149.88882680884[/C][C]150.6175[/C][C]0.995162094768801[/C][C]0.99153488064552[/C][/ROW]
[ROW][C]51[/C][C]151.16[/C][C]151.779439458163[/C][C]151.959166666667[/C][C]0.998817266424619[/C][C]0.995918818382948[/C][/ROW]
[ROW][C]52[/C][C]152.56[/C][C]153.998980109889[/C][C]153.535416666667[/C][C]1.00301926065846[/C][C]0.990655911429658[/C][/ROW]
[ROW][C]53[/C][C]154.55[/C][C]155.805368076721[/C][C]155.282916666667[/C][C]1.00336451311754[/C][C]0.991942716145038[/C][/ROW]
[ROW][C]54[/C][C]156.17[/C][C]157.024018659885[/C][C]157.12875[/C][C]0.999333467999233[/C][C]0.994561222753225[/C][/ROW]
[ROW][C]55[/C][C]158.8[/C][C]159.402067202404[/C][C]159.015[/C][C]1.00243415528349[/C][C]0.996222964902708[/C][/ROW]
[ROW][C]56[/C][C]159.39[/C][C]161.105724956084[/C][C]160.962083333333[/C][C]1.00089239415753[/C][C]0.98935031665354[/C][/ROW]
[ROW][C]57[/C][C]162.44[/C][C]163.047947954982[/C][C]162.939166666667[/C][C]1.00066761902949[/C][C]0.99627135476032[/C][/ROW]
[ROW][C]58[/C][C]166.48[/C][C]165.306680616893[/C][C]164.933333333333[/C][C]1.00226362540558[/C][C]1.00709783403023[/C][/ROW]
[ROW][C]59[/C][C]168.3[/C][C]167.231185363245[/C][C]166.977083333333[/C][C]1.00152177786819[/C][C]1.00639123997377[/C][/ROW]
[ROW][C]60[/C][C]170.32[/C][C]168.769849705707[/C][C]168.97125[/C][C]0.998808079514751[/C][C]1.00918499540644[/C][/ROW]
[ROW][C]61[/C][C]170.64[/C][C]169.769296345335[/C][C]170.842916666667[/C][C]0.993715745772321[/C][C]1.00512874632462[/C][/ROW]
[ROW][C]62[/C][C]172.85[/C][C]171.901397694253[/C][C]172.737083333333[/C][C]0.995162094768801[/C][C]1.00551829315218[/C][/ROW]
[ROW][C]63[/C][C]174.38[/C][C]174.711867721411[/C][C]174.91875[/C][C]0.998817266424619[/C][C]0.998100485526601[/C][/ROW]
[ROW][C]64[/C][C]177.2[/C][C]177.770954512187[/C][C]177.235833333333[/C][C]1.00301926065846[/C][C]0.996788257599486[/C][/ROW]
[ROW][C]65[/C][C]178.96[/C][C]180.164968112479[/C][C]179.560833333333[/C][C]1.00336451311754[/C][C]0.993311862316503[/C][/ROW]
[ROW][C]66[/C][C]179.62[/C][C]181.771679216995[/C][C]181.892916666667[/C][C]0.999333467999233[/C][C]0.9881627367571[/C][/ROW]
[ROW][C]67[/C][C]180.27[/C][C]NA[/C][C]NA[/C][C]1.00243415528349[/C][C]NA[/C][/ROW]
[ROW][C]68[/C][C]183.38[/C][C]NA[/C][C]NA[/C][C]1.00089239415753[/C][C]NA[/C][/ROW]
[ROW][C]69[/C][C]190.81[/C][C]NA[/C][C]NA[/C][C]1.00066761902949[/C][C]NA[/C][/ROW]
[ROW][C]70[/C][C]193.72[/C][C]NA[/C][C]NA[/C][C]1.00226362540558[/C][C]NA[/C][/ROW]
[ROW][C]71[/C][C]196.86[/C][C]NA[/C][C]NA[/C][C]1.00152177786819[/C][C]NA[/C][/ROW]
[ROW][C]72[/C][C]197.73[/C][C]NA[/C][C]NA[/C][C]0.998808079514751[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=166224&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=166224&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	105.32	NA	NA	0.993715745772321	NA
2	106.93	NA	NA	0.995162094768801	NA
3	107.99	NA	NA	0.998817266424619	NA
4	109.41	NA	NA	1.00301926065846	NA
5	111.79	NA	NA	1.00336451311754	NA
6	112.7	NA	NA	0.999333467999233	NA
7	113.41	113.179828302283	112.905	1.00243415528349	1.00203368127669
8	115.14	114.007899272006	113.90625	1.00089239415753	1.00993002007074
9	115.6	114.972123033234	114.895416666667	1.00066761902949	1.00546112353326
10	116.21	116.116417101675	115.854166666667	1.00226362540558	1.00080594028528
11	116.9	116.865489755735	116.687916666667	1.00152177786819	1.00029529884602
12	117.31	117.266311085529	117.40625	0.998808079514751	1.00037256151461
13	117.62	117.345822177116	118.087916666667	0.993715745772321	1.00233649411455
14	118.66	118.139838778733	118.714166666667	0.995162094768801	1.00440292814553
15	120	119.148079364071	119.289166666667	0.998817266424619	1.00715009961114
16	120.41	120.221888582523	119.86	1.00301926065846	1.00156470189992
17	120.8	120.835606383292	120.430416666667	1.00336451311754	0.999705332026232
18	120.93	120.915185738457	120.995833333333	0.999333467999233	1.00012251779173
19	121.54	121.860072725242	121.564166666667	1.00243415528349	0.997373440552893
20	122.04	122.25942298484	122.150416666667	1.00089239415753	0.998205267295697
21	122.5	122.84529247079	122.763333333333	1.00066761902949	0.997189208769462
22	123.01	123.799603010097	123.52	1.00226362540558	0.993621926154059
23	123.79	124.607253098656	124.417916666667	1.00152177786819	0.993441368152067
24	123.99	125.199760427108	125.349166666667	0.998808079514751	0.990337358290617
25	124.58	125.476901266898	126.270416666667	0.993715745772321	0.992852060755066
26	125.77	126.545226621674	127.160416666667	0.995162094768801	0.993873916524792
27	127.6	127.925186092777	128.076666666667	0.998817266424619	0.997457997891507
28	130.97	129.431277094136	129.041666666667	1.00301926065846	1.01188833905073
29	131.79	130.474594805974	130.037083333333	1.00336451311754	1.01008169594994
30	132.29	130.968480426529	131.055833333333	0.999333467999233	1.01009036349179
31	132.29	132.38103686584	132.059583333333	1.00243415528349	0.999312311883974
32	132.65	133.17373750463	133.055	1.00089239415753	0.996067261350143
33	133.88	134.12198264757	134.0325	1.00066761902949	0.998195801741126
34	134.79	135.190746722675	134.885416666667	1.00226362540558	0.997035694140391
35	135.9	135.895238136712	135.68875	1.00152177786819	1.00003504069276
36	136.33	136.376422836878	136.539166666667	0.998808079514751	0.999659597781551
37	136.33	136.578776388312	137.4425	0.993715745772321	0.998178513566376
38	137.91	137.746190649169	138.415833333333	0.995162094768801	1.00118921147698
39	138.92	139.213485898819	139.378333333333	0.998817266424619	0.997891828532814
40	140.12	140.736140011141	140.3125	1.00301926065846	0.995622019965221
41	141.92	141.710605078702	141.235416666667	1.00336451311754	1.0014776235073
42	142.57	142.061081921321	142.155833333333	0.999333467999233	1.00358238915117
43	143.69	143.463781814295	143.115416666667	1.00243415528349	1.00157683132875
44	144.61	144.182302724871	144.05375	1.00089239415753	1.00296636457489
45	145.02	145.106811435466	145.01	1.00066761902949	0.99940174114084
46	146.07	146.368909414854	146.038333333333	1.00226362540558	0.997957835335048
47	146.77	147.306744194039	147.082916666667	1.00152177786819	0.996356282280384
48	147.55	147.999219522165	148.175833333333	0.998808079514751	0.996964716951786
49	148.14	148.433391187149	149.372083333333	0.993715745772321	0.998023415184399
50	148.62	149.88882680884	150.6175	0.995162094768801	0.99153488064552
51	151.16	151.779439458163	151.959166666667	0.998817266424619	0.995918818382948
52	152.56	153.998980109889	153.535416666667	1.00301926065846	0.990655911429658
53	154.55	155.805368076721	155.282916666667	1.00336451311754	0.991942716145038
54	156.17	157.024018659885	157.12875	0.999333467999233	0.994561222753225
55	158.8	159.402067202404	159.015	1.00243415528349	0.996222964902708
56	159.39	161.105724956084	160.962083333333	1.00089239415753	0.98935031665354
57	162.44	163.047947954982	162.939166666667	1.00066761902949	0.99627135476032
58	166.48	165.306680616893	164.933333333333	1.00226362540558	1.00709783403023
59	168.3	167.231185363245	166.977083333333	1.00152177786819	1.00639123997377
60	170.32	168.769849705707	168.97125	0.998808079514751	1.00918499540644
61	170.64	169.769296345335	170.842916666667	0.993715745772321	1.00512874632462
62	172.85	171.901397694253	172.737083333333	0.995162094768801	1.00551829315218
63	174.38	174.711867721411	174.91875	0.998817266424619	0.998100485526601
64	177.2	177.770954512187	177.235833333333	1.00301926065846	0.996788257599486
65	178.96	180.164968112479	179.560833333333	1.00336451311754	0.993311862316503
66	179.62	181.771679216995	181.892916666667	0.999333467999233	0.9881627367571
67	180.27	NA	NA	1.00243415528349	NA
68	183.38	NA	NA	1.00089239415753	NA
69	190.81	NA	NA	1.00066761902949	NA
70	193.72	NA	NA	1.00226362540558	NA
71	196.86	NA	NA	1.00152177786819	NA
72	197.73	NA	NA	0.998808079514751	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