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R Software Module

rwasp_decompose.wasp

Title produced by software

Classical Decomposition

Date of computation

Wed, 09 Jan 2013 13:03:13 -0500

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2013/Jan/09/t1357754789lmb76vpicamww8j.htm/, Retrieved Mon, 29 Apr 2024 11:57:55 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=205117, Retrieved Mon, 29 Apr 2024 11:57:55 +0000

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IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

145

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

-     [Bootstrap Plot - Central Tendency] [maximumprijzen st...] [2013-01-09 11:37:25] [251e6916fe5b161c77205c1c19032f50]
- R P   [Bootstrap Plot - Central Tendency] [maximumprijzen st...] [2013-01-09 11:42:15] [251e6916fe5b161c77205c1c19032f50]
-   P     [Bootstrap Plot - Central Tendency] [maximumprijzen st...] [2013-01-09 11:45:46] [251e6916fe5b161c77205c1c19032f50]
- RMPD      [Blocked Bootstrap Plot - Central Tendency] [niet werkende wer...] [2013-01-09 16:05:30] [251e6916fe5b161c77205c1c19032f50]
- RMP           [Classical Decomposition] [niet werkende wer...] [2013-01-09 18:03:13] [3e2b14d12dd0cca2f2b67dfbdf2cdaf9] [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	3 seconds
R Server	'George Udny Yule' @ yule.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 3 seconds \tabularnewline
R Server & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=205117&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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=205117&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=205117&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	3 seconds
R Server	'George Udny Yule' @ yule.wessa.net

Classical Decomposition by Moving Averages
t	Observations	Fit	Trend	Seasonal	Random
1	125326	NA	NA	0.994711281227772	NA
2	122716	NA	NA	0.97173141473556	NA
3	116615	NA	NA	0.932157671859131	NA
4	113719	NA	NA	0.907899615121965	NA
5	110737	NA	NA	0.844104467813269	NA
6	112093	NA	NA	0.860296251944648	NA
7	143565	141470.749878675	126010	1.12269462644771	1.01480341429674
8	149946	147527.052098243	125168.166666667	1.17863076552938	1.01639663958137
9	149147	143035.431949032	124191.083333333	1.15173672787055	1.04272765123781
10	134339	130249.742396	123194.291666667	1.05727092249066	1.0313955139471
11	122683	121125.880735496	122022.958333333	0.992648288403347	1.0128553803287
12	115614	118881.204928668	120554.75	0.986117966556011	0.972517060786618
13	116566	118322.398968965	118951.5	0.994711281227772	0.985155820163636
14	111272	114009.5219205	117326.166666667	0.97173141473556	0.975988655382583
15	104609	107627.5073914	115460.625	0.932157671859131	0.971954127113406
16	101802	103140.649584809	113603.583333333	0.907899615121965	0.987021125131574
17	94542	94608.8466194078	112081.916666667	0.844104467813269	0.9992934421907
18	93051	95425.4582471097	110921.625	0.860296251944648	0.975117140742872
19	124129	123479.568489851	109985	1.12269462644771	1.00525942484325
20	130374	128562.342875107	109077.708333333	1.17863076552938	1.01409166233578
21	123946	124666.382876225	108242.083333333	1.15173672787055	0.994221514576708
22	114971	113621.029380022	107466.333333333	1.05727092249066	1.01188134474176
23	105531	105887.736860216	106671.958333333	0.992648288403347	0.996630989850247
24	104919	104530.599955616	106002.125	0.986117966556011	1.00371565880755
25	104782	104868.431534719	105426	0.994711281227772	0.99917580978895
26	101281	101704.446526895	104663.125	0.97173141473556	0.995836499372888
27	94545	96902.8391771459	103955.416666667	0.932157671859131	0.975668007282681
28	93248	93885.5965665574	103409.666666667	0.907899615121965	0.993208792510517
29	84031	87036.315096616	103110.833333333	0.844104467813269	0.965470561417038
30	87486	88735.5078265708	103145.291666667	0.860296251944648	0.985918739215276
31	115867	116099.769257611	103411.708333333	1.12269462644771	0.997995092849028
32	120327	122490.822924944	103926.375	1.17863076552938	0.982334816002751
33	117008	120729.746740363	104824.083333333	1.15173672787055	0.969172910232579
34	108811	112018.382873347	105950.5	1.05727092249066	0.971367352473094
35	104519	106348.367026381	107136	0.992648288403347	0.982798353397122
36	106758	106929.578438755	108434.875	0.986117966556011	0.998395407133738
37	109337	109138.60272612	109718.875	0.994711281227772	1.00181784692973
38	109078	107910.085296632	111049.291666667	0.97173141473556	1.01082303567973
39	108293	104867.738084152	112500	0.932157671859131	1.03266268519208
40	106534	103372.315303268	113858.75	0.907899615121965	1.03058541048884
41	99197	97117.1030455149	115053.416666667	0.844104467813269	1.02141638176244
42	103493	99991.7673697233	116229.458333333	0.860296251944648	1.03501520897546
43	130676	131690.442419319	117298.541666667	1.12269462644771	0.992296765044733
44	137448	139251.197958848	118146.583333333	1.17863076552938	0.987050754425966
45	134704	136715.996490297	118704.208333333	1.15173672787055	0.985283386421864
46	123725	125722.37614703	118912.166666667	1.05727092249066	0.984112803080545
47	118277	118103.059895581	118977.75	0.992648288403347	1.00147278236967
48	121225	117301.156328505	118952.458333333	0.986117966556011	1.03345102294223
49	120528	118255.71186682	118884.458333333	0.994711281227772	1.01921503914956
50	118240	115438.938831576	118797.166666667	0.97173141473556	1.02426443968365
51	112514	110580.854775171	118628.916666667	0.932157671859131	1.01748173523129
52	107304	107477.345583891	118380.208333333	0.907899615121965	0.99838714304908
53	100001	99586.6361791611	117979.041666667	0.844104467813269	1.00416083760569
54	102082	100864.860528416	117244.333333333	0.860296251944648	1.01206703172153
55	130455	130577.290697196	116307.041666667	1.12269462644771	0.999063461214862
56	135574	135975.144636443	115367.041666667	1.17863076552938	0.997049867918758
57	132540	131812.62133848	114446.833333333	1.15173672787055	1.00551827779566
58	119920	120140.24999401	113632.416666667	1.05727092249066	0.998166726022123
59	112454	112099.068083519	112929.291666667	0.992648288403347	1.00316623431888
60	109415	110649.33867335	112207	0.986117966556011	0.988844590594489
61	109843	110778.052702797	111367.041666667	0.994711281227772	0.991559224232752
62	106365	107438.188228351	110563.666666667	0.97173141473556	0.990011110145771
63	102304	102390.296031769	109842.25	0.932157671859131	0.999157185445173
64	97968	99185.8766904888	109247.625	0.907899615121965	0.987721269084618
65	92462	91857.3474224925	108822.25	0.844104467813269	1.00658251728875
66	92286	93330.7802563332	108486.791666667	0.860296251944648	0.988805619609483
67	120092	121687.280076613	108388.583333333	1.12269462644771	0.986890330068941
68	126656	NA	NA	1.17863076552938	NA
69	124144	NA	NA	1.15173672787055	NA
70	114045	NA	NA	1.05727092249066	NA
71	108120	NA	NA	0.992648288403347	NA
72	105698	NA	NA	0.986117966556011	NA
73	111203	NA	NA	0.994711281227772	NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 125326 & NA & NA & 0.994711281227772 & NA \tabularnewline
2 & 122716 & NA & NA & 0.97173141473556 & NA \tabularnewline
3 & 116615 & NA & NA & 0.932157671859131 & NA \tabularnewline
4 & 113719 & NA & NA & 0.907899615121965 & NA \tabularnewline
5 & 110737 & NA & NA & 0.844104467813269 & NA \tabularnewline
6 & 112093 & NA & NA & 0.860296251944648 & NA \tabularnewline
7 & 143565 & 141470.749878675 & 126010 & 1.12269462644771 & 1.01480341429674 \tabularnewline
8 & 149946 & 147527.052098243 & 125168.166666667 & 1.17863076552938 & 1.01639663958137 \tabularnewline
9 & 149147 & 143035.431949032 & 124191.083333333 & 1.15173672787055 & 1.04272765123781 \tabularnewline
10 & 134339 & 130249.742396 & 123194.291666667 & 1.05727092249066 & 1.0313955139471 \tabularnewline
11 & 122683 & 121125.880735496 & 122022.958333333 & 0.992648288403347 & 1.0128553803287 \tabularnewline
12 & 115614 & 118881.204928668 & 120554.75 & 0.986117966556011 & 0.972517060786618 \tabularnewline
13 & 116566 & 118322.398968965 & 118951.5 & 0.994711281227772 & 0.985155820163636 \tabularnewline
14 & 111272 & 114009.5219205 & 117326.166666667 & 0.97173141473556 & 0.975988655382583 \tabularnewline
15 & 104609 & 107627.5073914 & 115460.625 & 0.932157671859131 & 0.971954127113406 \tabularnewline
16 & 101802 & 103140.649584809 & 113603.583333333 & 0.907899615121965 & 0.987021125131574 \tabularnewline
17 & 94542 & 94608.8466194078 & 112081.916666667 & 0.844104467813269 & 0.9992934421907 \tabularnewline
18 & 93051 & 95425.4582471097 & 110921.625 & 0.860296251944648 & 0.975117140742872 \tabularnewline
19 & 124129 & 123479.568489851 & 109985 & 1.12269462644771 & 1.00525942484325 \tabularnewline
20 & 130374 & 128562.342875107 & 109077.708333333 & 1.17863076552938 & 1.01409166233578 \tabularnewline
21 & 123946 & 124666.382876225 & 108242.083333333 & 1.15173672787055 & 0.994221514576708 \tabularnewline
22 & 114971 & 113621.029380022 & 107466.333333333 & 1.05727092249066 & 1.01188134474176 \tabularnewline
23 & 105531 & 105887.736860216 & 106671.958333333 & 0.992648288403347 & 0.996630989850247 \tabularnewline
24 & 104919 & 104530.599955616 & 106002.125 & 0.986117966556011 & 1.00371565880755 \tabularnewline
25 & 104782 & 104868.431534719 & 105426 & 0.994711281227772 & 0.99917580978895 \tabularnewline
26 & 101281 & 101704.446526895 & 104663.125 & 0.97173141473556 & 0.995836499372888 \tabularnewline
27 & 94545 & 96902.8391771459 & 103955.416666667 & 0.932157671859131 & 0.975668007282681 \tabularnewline
28 & 93248 & 93885.5965665574 & 103409.666666667 & 0.907899615121965 & 0.993208792510517 \tabularnewline
29 & 84031 & 87036.315096616 & 103110.833333333 & 0.844104467813269 & 0.965470561417038 \tabularnewline
30 & 87486 & 88735.5078265708 & 103145.291666667 & 0.860296251944648 & 0.985918739215276 \tabularnewline
31 & 115867 & 116099.769257611 & 103411.708333333 & 1.12269462644771 & 0.997995092849028 \tabularnewline
32 & 120327 & 122490.822924944 & 103926.375 & 1.17863076552938 & 0.982334816002751 \tabularnewline
33 & 117008 & 120729.746740363 & 104824.083333333 & 1.15173672787055 & 0.969172910232579 \tabularnewline
34 & 108811 & 112018.382873347 & 105950.5 & 1.05727092249066 & 0.971367352473094 \tabularnewline
35 & 104519 & 106348.367026381 & 107136 & 0.992648288403347 & 0.982798353397122 \tabularnewline
36 & 106758 & 106929.578438755 & 108434.875 & 0.986117966556011 & 0.998395407133738 \tabularnewline
37 & 109337 & 109138.60272612 & 109718.875 & 0.994711281227772 & 1.00181784692973 \tabularnewline
38 & 109078 & 107910.085296632 & 111049.291666667 & 0.97173141473556 & 1.01082303567973 \tabularnewline
39 & 108293 & 104867.738084152 & 112500 & 0.932157671859131 & 1.03266268519208 \tabularnewline
40 & 106534 & 103372.315303268 & 113858.75 & 0.907899615121965 & 1.03058541048884 \tabularnewline
41 & 99197 & 97117.1030455149 & 115053.416666667 & 0.844104467813269 & 1.02141638176244 \tabularnewline
42 & 103493 & 99991.7673697233 & 116229.458333333 & 0.860296251944648 & 1.03501520897546 \tabularnewline
43 & 130676 & 131690.442419319 & 117298.541666667 & 1.12269462644771 & 0.992296765044733 \tabularnewline
44 & 137448 & 139251.197958848 & 118146.583333333 & 1.17863076552938 & 0.987050754425966 \tabularnewline
45 & 134704 & 136715.996490297 & 118704.208333333 & 1.15173672787055 & 0.985283386421864 \tabularnewline
46 & 123725 & 125722.37614703 & 118912.166666667 & 1.05727092249066 & 0.984112803080545 \tabularnewline
47 & 118277 & 118103.059895581 & 118977.75 & 0.992648288403347 & 1.00147278236967 \tabularnewline
48 & 121225 & 117301.156328505 & 118952.458333333 & 0.986117966556011 & 1.03345102294223 \tabularnewline
49 & 120528 & 118255.71186682 & 118884.458333333 & 0.994711281227772 & 1.01921503914956 \tabularnewline
50 & 118240 & 115438.938831576 & 118797.166666667 & 0.97173141473556 & 1.02426443968365 \tabularnewline
51 & 112514 & 110580.854775171 & 118628.916666667 & 0.932157671859131 & 1.01748173523129 \tabularnewline
52 & 107304 & 107477.345583891 & 118380.208333333 & 0.907899615121965 & 0.99838714304908 \tabularnewline
53 & 100001 & 99586.6361791611 & 117979.041666667 & 0.844104467813269 & 1.00416083760569 \tabularnewline
54 & 102082 & 100864.860528416 & 117244.333333333 & 0.860296251944648 & 1.01206703172153 \tabularnewline
55 & 130455 & 130577.290697196 & 116307.041666667 & 1.12269462644771 & 0.999063461214862 \tabularnewline
56 & 135574 & 135975.144636443 & 115367.041666667 & 1.17863076552938 & 0.997049867918758 \tabularnewline
57 & 132540 & 131812.62133848 & 114446.833333333 & 1.15173672787055 & 1.00551827779566 \tabularnewline
58 & 119920 & 120140.24999401 & 113632.416666667 & 1.05727092249066 & 0.998166726022123 \tabularnewline
59 & 112454 & 112099.068083519 & 112929.291666667 & 0.992648288403347 & 1.00316623431888 \tabularnewline
60 & 109415 & 110649.33867335 & 112207 & 0.986117966556011 & 0.988844590594489 \tabularnewline
61 & 109843 & 110778.052702797 & 111367.041666667 & 0.994711281227772 & 0.991559224232752 \tabularnewline
62 & 106365 & 107438.188228351 & 110563.666666667 & 0.97173141473556 & 0.990011110145771 \tabularnewline
63 & 102304 & 102390.296031769 & 109842.25 & 0.932157671859131 & 0.999157185445173 \tabularnewline
64 & 97968 & 99185.8766904888 & 109247.625 & 0.907899615121965 & 0.987721269084618 \tabularnewline
65 & 92462 & 91857.3474224925 & 108822.25 & 0.844104467813269 & 1.00658251728875 \tabularnewline
66 & 92286 & 93330.7802563332 & 108486.791666667 & 0.860296251944648 & 0.988805619609483 \tabularnewline
67 & 120092 & 121687.280076613 & 108388.583333333 & 1.12269462644771 & 0.986890330068941 \tabularnewline
68 & 126656 & NA & NA & 1.17863076552938 & NA \tabularnewline
69 & 124144 & NA & NA & 1.15173672787055 & NA \tabularnewline
70 & 114045 & NA & NA & 1.05727092249066 & NA \tabularnewline
71 & 108120 & NA & NA & 0.992648288403347 & NA \tabularnewline
72 & 105698 & NA & NA & 0.986117966556011 & NA \tabularnewline
73 & 111203 & NA & NA & 0.994711281227772 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=205117&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]125326[/C][C]NA[/C][C]NA[/C][C]0.994711281227772[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]122716[/C][C]NA[/C][C]NA[/C][C]0.97173141473556[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]116615[/C][C]NA[/C][C]NA[/C][C]0.932157671859131[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]113719[/C][C]NA[/C][C]NA[/C][C]0.907899615121965[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]110737[/C][C]NA[/C][C]NA[/C][C]0.844104467813269[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]112093[/C][C]NA[/C][C]NA[/C][C]0.860296251944648[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]143565[/C][C]141470.749878675[/C][C]126010[/C][C]1.12269462644771[/C][C]1.01480341429674[/C][/ROW]
[ROW][C]8[/C][C]149946[/C][C]147527.052098243[/C][C]125168.166666667[/C][C]1.17863076552938[/C][C]1.01639663958137[/C][/ROW]
[ROW][C]9[/C][C]149147[/C][C]143035.431949032[/C][C]124191.083333333[/C][C]1.15173672787055[/C][C]1.04272765123781[/C][/ROW]
[ROW][C]10[/C][C]134339[/C][C]130249.742396[/C][C]123194.291666667[/C][C]1.05727092249066[/C][C]1.0313955139471[/C][/ROW]
[ROW][C]11[/C][C]122683[/C][C]121125.880735496[/C][C]122022.958333333[/C][C]0.992648288403347[/C][C]1.0128553803287[/C][/ROW]
[ROW][C]12[/C][C]115614[/C][C]118881.204928668[/C][C]120554.75[/C][C]0.986117966556011[/C][C]0.972517060786618[/C][/ROW]
[ROW][C]13[/C][C]116566[/C][C]118322.398968965[/C][C]118951.5[/C][C]0.994711281227772[/C][C]0.985155820163636[/C][/ROW]
[ROW][C]14[/C][C]111272[/C][C]114009.5219205[/C][C]117326.166666667[/C][C]0.97173141473556[/C][C]0.975988655382583[/C][/ROW]
[ROW][C]15[/C][C]104609[/C][C]107627.5073914[/C][C]115460.625[/C][C]0.932157671859131[/C][C]0.971954127113406[/C][/ROW]
[ROW][C]16[/C][C]101802[/C][C]103140.649584809[/C][C]113603.583333333[/C][C]0.907899615121965[/C][C]0.987021125131574[/C][/ROW]
[ROW][C]17[/C][C]94542[/C][C]94608.8466194078[/C][C]112081.916666667[/C][C]0.844104467813269[/C][C]0.9992934421907[/C][/ROW]
[ROW][C]18[/C][C]93051[/C][C]95425.4582471097[/C][C]110921.625[/C][C]0.860296251944648[/C][C]0.975117140742872[/C][/ROW]
[ROW][C]19[/C][C]124129[/C][C]123479.568489851[/C][C]109985[/C][C]1.12269462644771[/C][C]1.00525942484325[/C][/ROW]
[ROW][C]20[/C][C]130374[/C][C]128562.342875107[/C][C]109077.708333333[/C][C]1.17863076552938[/C][C]1.01409166233578[/C][/ROW]
[ROW][C]21[/C][C]123946[/C][C]124666.382876225[/C][C]108242.083333333[/C][C]1.15173672787055[/C][C]0.994221514576708[/C][/ROW]
[ROW][C]22[/C][C]114971[/C][C]113621.029380022[/C][C]107466.333333333[/C][C]1.05727092249066[/C][C]1.01188134474176[/C][/ROW]
[ROW][C]23[/C][C]105531[/C][C]105887.736860216[/C][C]106671.958333333[/C][C]0.992648288403347[/C][C]0.996630989850247[/C][/ROW]
[ROW][C]24[/C][C]104919[/C][C]104530.599955616[/C][C]106002.125[/C][C]0.986117966556011[/C][C]1.00371565880755[/C][/ROW]
[ROW][C]25[/C][C]104782[/C][C]104868.431534719[/C][C]105426[/C][C]0.994711281227772[/C][C]0.99917580978895[/C][/ROW]
[ROW][C]26[/C][C]101281[/C][C]101704.446526895[/C][C]104663.125[/C][C]0.97173141473556[/C][C]0.995836499372888[/C][/ROW]
[ROW][C]27[/C][C]94545[/C][C]96902.8391771459[/C][C]103955.416666667[/C][C]0.932157671859131[/C][C]0.975668007282681[/C][/ROW]
[ROW][C]28[/C][C]93248[/C][C]93885.5965665574[/C][C]103409.666666667[/C][C]0.907899615121965[/C][C]0.993208792510517[/C][/ROW]
[ROW][C]29[/C][C]84031[/C][C]87036.315096616[/C][C]103110.833333333[/C][C]0.844104467813269[/C][C]0.965470561417038[/C][/ROW]
[ROW][C]30[/C][C]87486[/C][C]88735.5078265708[/C][C]103145.291666667[/C][C]0.860296251944648[/C][C]0.985918739215276[/C][/ROW]
[ROW][C]31[/C][C]115867[/C][C]116099.769257611[/C][C]103411.708333333[/C][C]1.12269462644771[/C][C]0.997995092849028[/C][/ROW]
[ROW][C]32[/C][C]120327[/C][C]122490.822924944[/C][C]103926.375[/C][C]1.17863076552938[/C][C]0.982334816002751[/C][/ROW]
[ROW][C]33[/C][C]117008[/C][C]120729.746740363[/C][C]104824.083333333[/C][C]1.15173672787055[/C][C]0.969172910232579[/C][/ROW]
[ROW][C]34[/C][C]108811[/C][C]112018.382873347[/C][C]105950.5[/C][C]1.05727092249066[/C][C]0.971367352473094[/C][/ROW]
[ROW][C]35[/C][C]104519[/C][C]106348.367026381[/C][C]107136[/C][C]0.992648288403347[/C][C]0.982798353397122[/C][/ROW]
[ROW][C]36[/C][C]106758[/C][C]106929.578438755[/C][C]108434.875[/C][C]0.986117966556011[/C][C]0.998395407133738[/C][/ROW]
[ROW][C]37[/C][C]109337[/C][C]109138.60272612[/C][C]109718.875[/C][C]0.994711281227772[/C][C]1.00181784692973[/C][/ROW]
[ROW][C]38[/C][C]109078[/C][C]107910.085296632[/C][C]111049.291666667[/C][C]0.97173141473556[/C][C]1.01082303567973[/C][/ROW]
[ROW][C]39[/C][C]108293[/C][C]104867.738084152[/C][C]112500[/C][C]0.932157671859131[/C][C]1.03266268519208[/C][/ROW]
[ROW][C]40[/C][C]106534[/C][C]103372.315303268[/C][C]113858.75[/C][C]0.907899615121965[/C][C]1.03058541048884[/C][/ROW]
[ROW][C]41[/C][C]99197[/C][C]97117.1030455149[/C][C]115053.416666667[/C][C]0.844104467813269[/C][C]1.02141638176244[/C][/ROW]
[ROW][C]42[/C][C]103493[/C][C]99991.7673697233[/C][C]116229.458333333[/C][C]0.860296251944648[/C][C]1.03501520897546[/C][/ROW]
[ROW][C]43[/C][C]130676[/C][C]131690.442419319[/C][C]117298.541666667[/C][C]1.12269462644771[/C][C]0.992296765044733[/C][/ROW]
[ROW][C]44[/C][C]137448[/C][C]139251.197958848[/C][C]118146.583333333[/C][C]1.17863076552938[/C][C]0.987050754425966[/C][/ROW]
[ROW][C]45[/C][C]134704[/C][C]136715.996490297[/C][C]118704.208333333[/C][C]1.15173672787055[/C][C]0.985283386421864[/C][/ROW]
[ROW][C]46[/C][C]123725[/C][C]125722.37614703[/C][C]118912.166666667[/C][C]1.05727092249066[/C][C]0.984112803080545[/C][/ROW]
[ROW][C]47[/C][C]118277[/C][C]118103.059895581[/C][C]118977.75[/C][C]0.992648288403347[/C][C]1.00147278236967[/C][/ROW]
[ROW][C]48[/C][C]121225[/C][C]117301.156328505[/C][C]118952.458333333[/C][C]0.986117966556011[/C][C]1.03345102294223[/C][/ROW]
[ROW][C]49[/C][C]120528[/C][C]118255.71186682[/C][C]118884.458333333[/C][C]0.994711281227772[/C][C]1.01921503914956[/C][/ROW]
[ROW][C]50[/C][C]118240[/C][C]115438.938831576[/C][C]118797.166666667[/C][C]0.97173141473556[/C][C]1.02426443968365[/C][/ROW]
[ROW][C]51[/C][C]112514[/C][C]110580.854775171[/C][C]118628.916666667[/C][C]0.932157671859131[/C][C]1.01748173523129[/C][/ROW]
[ROW][C]52[/C][C]107304[/C][C]107477.345583891[/C][C]118380.208333333[/C][C]0.907899615121965[/C][C]0.99838714304908[/C][/ROW]
[ROW][C]53[/C][C]100001[/C][C]99586.6361791611[/C][C]117979.041666667[/C][C]0.844104467813269[/C][C]1.00416083760569[/C][/ROW]
[ROW][C]54[/C][C]102082[/C][C]100864.860528416[/C][C]117244.333333333[/C][C]0.860296251944648[/C][C]1.01206703172153[/C][/ROW]
[ROW][C]55[/C][C]130455[/C][C]130577.290697196[/C][C]116307.041666667[/C][C]1.12269462644771[/C][C]0.999063461214862[/C][/ROW]
[ROW][C]56[/C][C]135574[/C][C]135975.144636443[/C][C]115367.041666667[/C][C]1.17863076552938[/C][C]0.997049867918758[/C][/ROW]
[ROW][C]57[/C][C]132540[/C][C]131812.62133848[/C][C]114446.833333333[/C][C]1.15173672787055[/C][C]1.00551827779566[/C][/ROW]
[ROW][C]58[/C][C]119920[/C][C]120140.24999401[/C][C]113632.416666667[/C][C]1.05727092249066[/C][C]0.998166726022123[/C][/ROW]
[ROW][C]59[/C][C]112454[/C][C]112099.068083519[/C][C]112929.291666667[/C][C]0.992648288403347[/C][C]1.00316623431888[/C][/ROW]
[ROW][C]60[/C][C]109415[/C][C]110649.33867335[/C][C]112207[/C][C]0.986117966556011[/C][C]0.988844590594489[/C][/ROW]
[ROW][C]61[/C][C]109843[/C][C]110778.052702797[/C][C]111367.041666667[/C][C]0.994711281227772[/C][C]0.991559224232752[/C][/ROW]
[ROW][C]62[/C][C]106365[/C][C]107438.188228351[/C][C]110563.666666667[/C][C]0.97173141473556[/C][C]0.990011110145771[/C][/ROW]
[ROW][C]63[/C][C]102304[/C][C]102390.296031769[/C][C]109842.25[/C][C]0.932157671859131[/C][C]0.999157185445173[/C][/ROW]
[ROW][C]64[/C][C]97968[/C][C]99185.8766904888[/C][C]109247.625[/C][C]0.907899615121965[/C][C]0.987721269084618[/C][/ROW]
[ROW][C]65[/C][C]92462[/C][C]91857.3474224925[/C][C]108822.25[/C][C]0.844104467813269[/C][C]1.00658251728875[/C][/ROW]
[ROW][C]66[/C][C]92286[/C][C]93330.7802563332[/C][C]108486.791666667[/C][C]0.860296251944648[/C][C]0.988805619609483[/C][/ROW]
[ROW][C]67[/C][C]120092[/C][C]121687.280076613[/C][C]108388.583333333[/C][C]1.12269462644771[/C][C]0.986890330068941[/C][/ROW]
[ROW][C]68[/C][C]126656[/C][C]NA[/C][C]NA[/C][C]1.17863076552938[/C][C]NA[/C][/ROW]
[ROW][C]69[/C][C]124144[/C][C]NA[/C][C]NA[/C][C]1.15173672787055[/C][C]NA[/C][/ROW]
[ROW][C]70[/C][C]114045[/C][C]NA[/C][C]NA[/C][C]1.05727092249066[/C][C]NA[/C][/ROW]
[ROW][C]71[/C][C]108120[/C][C]NA[/C][C]NA[/C][C]0.992648288403347[/C][C]NA[/C][/ROW]
[ROW][C]72[/C][C]105698[/C][C]NA[/C][C]NA[/C][C]0.986117966556011[/C][C]NA[/C][/ROW]
[ROW][C]73[/C][C]111203[/C][C]NA[/C][C]NA[/C][C]0.994711281227772[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=205117&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=205117&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	125326	NA	NA	0.994711281227772	NA
2	122716	NA	NA	0.97173141473556	NA
3	116615	NA	NA	0.932157671859131	NA
4	113719	NA	NA	0.907899615121965	NA
5	110737	NA	NA	0.844104467813269	NA
6	112093	NA	NA	0.860296251944648	NA
7	143565	141470.749878675	126010	1.12269462644771	1.01480341429674
8	149946	147527.052098243	125168.166666667	1.17863076552938	1.01639663958137
9	149147	143035.431949032	124191.083333333	1.15173672787055	1.04272765123781
10	134339	130249.742396	123194.291666667	1.05727092249066	1.0313955139471
11	122683	121125.880735496	122022.958333333	0.992648288403347	1.0128553803287
12	115614	118881.204928668	120554.75	0.986117966556011	0.972517060786618
13	116566	118322.398968965	118951.5	0.994711281227772	0.985155820163636
14	111272	114009.5219205	117326.166666667	0.97173141473556	0.975988655382583
15	104609	107627.5073914	115460.625	0.932157671859131	0.971954127113406
16	101802	103140.649584809	113603.583333333	0.907899615121965	0.987021125131574
17	94542	94608.8466194078	112081.916666667	0.844104467813269	0.9992934421907
18	93051	95425.4582471097	110921.625	0.860296251944648	0.975117140742872
19	124129	123479.568489851	109985	1.12269462644771	1.00525942484325
20	130374	128562.342875107	109077.708333333	1.17863076552938	1.01409166233578
21	123946	124666.382876225	108242.083333333	1.15173672787055	0.994221514576708
22	114971	113621.029380022	107466.333333333	1.05727092249066	1.01188134474176
23	105531	105887.736860216	106671.958333333	0.992648288403347	0.996630989850247
24	104919	104530.599955616	106002.125	0.986117966556011	1.00371565880755
25	104782	104868.431534719	105426	0.994711281227772	0.99917580978895
26	101281	101704.446526895	104663.125	0.97173141473556	0.995836499372888
27	94545	96902.8391771459	103955.416666667	0.932157671859131	0.975668007282681
28	93248	93885.5965665574	103409.666666667	0.907899615121965	0.993208792510517
29	84031	87036.315096616	103110.833333333	0.844104467813269	0.965470561417038
30	87486	88735.5078265708	103145.291666667	0.860296251944648	0.985918739215276
31	115867	116099.769257611	103411.708333333	1.12269462644771	0.997995092849028
32	120327	122490.822924944	103926.375	1.17863076552938	0.982334816002751
33	117008	120729.746740363	104824.083333333	1.15173672787055	0.969172910232579
34	108811	112018.382873347	105950.5	1.05727092249066	0.971367352473094
35	104519	106348.367026381	107136	0.992648288403347	0.982798353397122
36	106758	106929.578438755	108434.875	0.986117966556011	0.998395407133738
37	109337	109138.60272612	109718.875	0.994711281227772	1.00181784692973
38	109078	107910.085296632	111049.291666667	0.97173141473556	1.01082303567973
39	108293	104867.738084152	112500	0.932157671859131	1.03266268519208
40	106534	103372.315303268	113858.75	0.907899615121965	1.03058541048884
41	99197	97117.1030455149	115053.416666667	0.844104467813269	1.02141638176244
42	103493	99991.7673697233	116229.458333333	0.860296251944648	1.03501520897546
43	130676	131690.442419319	117298.541666667	1.12269462644771	0.992296765044733
44	137448	139251.197958848	118146.583333333	1.17863076552938	0.987050754425966
45	134704	136715.996490297	118704.208333333	1.15173672787055	0.985283386421864
46	123725	125722.37614703	118912.166666667	1.05727092249066	0.984112803080545
47	118277	118103.059895581	118977.75	0.992648288403347	1.00147278236967
48	121225	117301.156328505	118952.458333333	0.986117966556011	1.03345102294223
49	120528	118255.71186682	118884.458333333	0.994711281227772	1.01921503914956
50	118240	115438.938831576	118797.166666667	0.97173141473556	1.02426443968365
51	112514	110580.854775171	118628.916666667	0.932157671859131	1.01748173523129
52	107304	107477.345583891	118380.208333333	0.907899615121965	0.99838714304908
53	100001	99586.6361791611	117979.041666667	0.844104467813269	1.00416083760569
54	102082	100864.860528416	117244.333333333	0.860296251944648	1.01206703172153
55	130455	130577.290697196	116307.041666667	1.12269462644771	0.999063461214862
56	135574	135975.144636443	115367.041666667	1.17863076552938	0.997049867918758
57	132540	131812.62133848	114446.833333333	1.15173672787055	1.00551827779566
58	119920	120140.24999401	113632.416666667	1.05727092249066	0.998166726022123
59	112454	112099.068083519	112929.291666667	0.992648288403347	1.00316623431888
60	109415	110649.33867335	112207	0.986117966556011	0.988844590594489
61	109843	110778.052702797	111367.041666667	0.994711281227772	0.991559224232752
62	106365	107438.188228351	110563.666666667	0.97173141473556	0.990011110145771
63	102304	102390.296031769	109842.25	0.932157671859131	0.999157185445173
64	97968	99185.8766904888	109247.625	0.907899615121965	0.987721269084618
65	92462	91857.3474224925	108822.25	0.844104467813269	1.00658251728875
66	92286	93330.7802563332	108486.791666667	0.860296251944648	0.988805619609483
67	120092	121687.280076613	108388.583333333	1.12269462644771	0.986890330068941
68	126656	NA	NA	1.17863076552938	NA
69	124144	NA	NA	1.15173672787055	NA
70	114045	NA	NA	1.05727092249066	NA
71	108120	NA	NA	0.992648288403347	NA
72	105698	NA	NA	0.986117966556011	NA
73	111203	NA	NA	0.994711281227772	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 = 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