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*Unverified author*

R Software Module

rwasp_decompose.wasp

Title produced by software

Classical Decomposition

Date of computation

Tue, 12 Jan 2010 12:43:41 -0700

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Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Jan/12/t1263325489wwm92qz30m4hrid.htm/, Retrieved Tue, 07 May 2024 10:36:19 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=72117, Retrieved Tue, 07 May 2024 10:36:19 +0000

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IsPrivate?

No (this computation is public)

User-defined keywords

KDGP2W52

Estimated Impact

109

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

-       [Classical Decomposition] [Classical Decompo...] [2010-01-12 19:43:41] [a00bf033610db033bc2faa6c748d42a9] [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	2 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

\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' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=72117&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' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=72117&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=72117&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' @ 72.249.127.135

Classical Decomposition by Moving Averages
t	Observations	Fit	Trend	Seasonal	Random
1	76.3	NA	NA	0.962459102149803	NA
2	71	NA	NA	0.877076078060531	NA
3	85.9	NA	NA	1.03044273310302	NA
4	109	NA	NA	0.885313990310911	NA
5	83.4	NA	NA	0.894567966560115	NA
6	101.3	NA	NA	1.06969376643926	NA
7	81.6	80.1677347766401	91.575	0.87543253919345	1.01786585622446
8	84.8	90.50832646733	92.3	0.980588585778223	0.936930372153213
9	88	92.9719141309046	94.5291666666667	0.983526221687182	0.94652240757457
10	88.4	93.2053810556108	95.675	0.974187416311584	0.948443094152004
11	85.2	93.797137846799	95.1416666666667	0.985868138882008	0.908343281637859
12	139.5	141.920335243798	95.8375	1.48084346152391	0.982945817879868
13	85.3	92.7289242458746	96.3458333333333	0.962459102149803	0.919885577167093
14	79.4	84.66707740211	96.5333333333333	0.877076078060531	0.937790726174532
15	131	99.9829996907086	97.0291666666667	1.03044273310302	1.31022274191853
16	91.4	86.3623797548294	97.55	0.885313990310911	1.05833118841180
17	88.2	87.92112164675	98.2833333333333	0.894567966560115	1.00317191532622
18	113.2	105.748142927241	98.8583333333333	1.06969376643926	1.07046797103459
19	81.9	86.86114606589	99.2208333333333	0.87543253919345	0.942884174448646
20	89	97.719738358574	99.6541666666667	0.980588585778223	0.910767890857651
21	95.7	96.2913151290988	97.9041666666667	0.983526221687182	0.993859102159878
22	93.2	93.2946815687726	95.7666666666667	0.974187416311584	0.998985134337986
23	98	94.0394970976075	95.3875	0.985868138882008	1.04211531350792
24	140.5	140.951616812718	95.1833333333333	1.48084346152391	0.996795944431643
25	93	91.7343831736531	95.3125	0.962459102149803	1.01379653716046
26	82.1	84.2139214284453	96.0166666666667	0.877076078060531	0.974898195065747
27	86.3	99.6309317568984	96.6875	1.03044273310302	0.866196857523864
28	84.8	86.000876542119	97.1416666666667	0.885313990310911	0.986036461598959
29	85.7	87.5036565956885	97.8166666666666	0.894567966560115	0.979387643147048
30	110.8	106.024480483571	99.1166666666667	1.06969376643926	1.0450416686283
31	87.4	88.1378185188805	100.679166666667	0.87543253919345	0.991628808934925
32	100.4	100.118094607957	102.1	0.980588585778223	1.00281572869667
33	100.4	102.131002070366	103.841666666667	0.983526221687182	0.983051159439581
34	99.4	102.650939879598	105.370833333333	0.974187416311584	0.96833014989038
35	108	105.08943582091	106.595833333333	0.985868138882008	1.02769606817616
36	161.7	159.59173388465	107.770833333333	1.48084346152391	1.01321037164039
37	109.3	104.867939671739	108.958333333333	0.962459102149803	1.04226325359432
38	99.9	97.0009597498362	110.595833333333	0.877076078060531	1.02988671717930
39	110.3	116.075080372668	112.645833333333	1.03044273310302	0.950247026716448
40	97.5	101.788976035997	114.975	0.885313990310911	0.957864041834155
41	102.4	104.578722657405	116.904166666667	0.894567966560115	0.9791666736594
42	122.3	126.954821846899	118.683333333333	1.06969376643926	0.963334816439561
43	104.4	105.631878760430	120.6625	0.87543253919345	0.988338001984955
44	122.7	120.273275831473	122.654166666667	0.980588585778223	1.02017675291332
45	127.3	123.022738229372	125.083333333333	0.983526221687182	1.03476805858973
46	128.4	123.953171382945	127.2375	0.974187416311584	1.03587506933015
47	125.3	127.345409056171	129.170833333333	0.985868138882008	0.983938101331403
48	187.1	195.00857333943	131.6875	1.48084346152391	0.959444996678866
49	131.4	129.446738992890	134.495833333333	0.962459102149803	1.01508930253714
50	125.6	120.861083556741	137.8	0.877076078060531	1.03920961407759
51	142.9	145.150739491724	140.8625	1.03044273310302	0.984493778677216
52	116.6	126.817540303745	143.245833333333	0.885313990310911	0.9194311742739
53	129.7	130.502556855011	145.883333333333	0.894567966560115	0.99385025953244
54	155.4	160.155442122758	149.720833333333	1.06969376643926	0.970307333552157
55	138.7	134.003188301457	153.070833333333	0.87543253919345	1.03504999961625
56	167.7	151.754255220728	154.758333333333	0.980588585778223	1.10507609658839
57	155.8	153.110444561152	155.675	0.983526221687182	1.01756611344547
58	157.1	153.397986040963	157.4625	0.974187416311584	1.02413339349872
59	159.9	157.743010005033	160.004166666667	0.985868138882008	1.0136740765559
60	244.6	239.014304871049	161.404166666667	1.48084346152391	1.02336971057847
61	154.3	156.692352076247	162.804166666667	0.962459102149803	0.984732170750218
62	143.2	144.067054788759	164.258333333333	0.877076078060531	0.99398158871207
63	147.3	170.366531873033	165.333333333333	1.03044273310302	0.864606436373175
64	155.1	147.139185189673	166.2	0.885313990310911	1.05410397509042
65	152.2	149.187845256536	166.770833333333	0.894567966560115	1.02019034954412
66	166.5	179.686267474995	167.979166666667	1.06969376643926	0.926615051554623
67	161.2	NA	NA	0.87543253919345	NA
68	180.1	NA	NA	0.980588585778223	NA
69	169.2	NA	NA	0.983526221687182	NA
70	164.5	NA	NA	0.974187416311584	NA
71	166.2	NA	NA	0.985868138882008	NA
72	267.3	NA	NA	1.48084346152391	NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 76.3 & NA & NA & 0.962459102149803 & NA \tabularnewline
2 & 71 & NA & NA & 0.877076078060531 & NA \tabularnewline
3 & 85.9 & NA & NA & 1.03044273310302 & NA \tabularnewline
4 & 109 & NA & NA & 0.885313990310911 & NA \tabularnewline
5 & 83.4 & NA & NA & 0.894567966560115 & NA \tabularnewline
6 & 101.3 & NA & NA & 1.06969376643926 & NA \tabularnewline
7 & 81.6 & 80.1677347766401 & 91.575 & 0.87543253919345 & 1.01786585622446 \tabularnewline
8 & 84.8 & 90.50832646733 & 92.3 & 0.980588585778223 & 0.936930372153213 \tabularnewline
9 & 88 & 92.9719141309046 & 94.5291666666667 & 0.983526221687182 & 0.94652240757457 \tabularnewline
10 & 88.4 & 93.2053810556108 & 95.675 & 0.974187416311584 & 0.948443094152004 \tabularnewline
11 & 85.2 & 93.797137846799 & 95.1416666666667 & 0.985868138882008 & 0.908343281637859 \tabularnewline
12 & 139.5 & 141.920335243798 & 95.8375 & 1.48084346152391 & 0.982945817879868 \tabularnewline
13 & 85.3 & 92.7289242458746 & 96.3458333333333 & 0.962459102149803 & 0.919885577167093 \tabularnewline
14 & 79.4 & 84.66707740211 & 96.5333333333333 & 0.877076078060531 & 0.937790726174532 \tabularnewline
15 & 131 & 99.9829996907086 & 97.0291666666667 & 1.03044273310302 & 1.31022274191853 \tabularnewline
16 & 91.4 & 86.3623797548294 & 97.55 & 0.885313990310911 & 1.05833118841180 \tabularnewline
17 & 88.2 & 87.92112164675 & 98.2833333333333 & 0.894567966560115 & 1.00317191532622 \tabularnewline
18 & 113.2 & 105.748142927241 & 98.8583333333333 & 1.06969376643926 & 1.07046797103459 \tabularnewline
19 & 81.9 & 86.86114606589 & 99.2208333333333 & 0.87543253919345 & 0.942884174448646 \tabularnewline
20 & 89 & 97.719738358574 & 99.6541666666667 & 0.980588585778223 & 0.910767890857651 \tabularnewline
21 & 95.7 & 96.2913151290988 & 97.9041666666667 & 0.983526221687182 & 0.993859102159878 \tabularnewline
22 & 93.2 & 93.2946815687726 & 95.7666666666667 & 0.974187416311584 & 0.998985134337986 \tabularnewline
23 & 98 & 94.0394970976075 & 95.3875 & 0.985868138882008 & 1.04211531350792 \tabularnewline
24 & 140.5 & 140.951616812718 & 95.1833333333333 & 1.48084346152391 & 0.996795944431643 \tabularnewline
25 & 93 & 91.7343831736531 & 95.3125 & 0.962459102149803 & 1.01379653716046 \tabularnewline
26 & 82.1 & 84.2139214284453 & 96.0166666666667 & 0.877076078060531 & 0.974898195065747 \tabularnewline
27 & 86.3 & 99.6309317568984 & 96.6875 & 1.03044273310302 & 0.866196857523864 \tabularnewline
28 & 84.8 & 86.000876542119 & 97.1416666666667 & 0.885313990310911 & 0.986036461598959 \tabularnewline
29 & 85.7 & 87.5036565956885 & 97.8166666666666 & 0.894567966560115 & 0.979387643147048 \tabularnewline
30 & 110.8 & 106.024480483571 & 99.1166666666667 & 1.06969376643926 & 1.0450416686283 \tabularnewline
31 & 87.4 & 88.1378185188805 & 100.679166666667 & 0.87543253919345 & 0.991628808934925 \tabularnewline
32 & 100.4 & 100.118094607957 & 102.1 & 0.980588585778223 & 1.00281572869667 \tabularnewline
33 & 100.4 & 102.131002070366 & 103.841666666667 & 0.983526221687182 & 0.983051159439581 \tabularnewline
34 & 99.4 & 102.650939879598 & 105.370833333333 & 0.974187416311584 & 0.96833014989038 \tabularnewline
35 & 108 & 105.08943582091 & 106.595833333333 & 0.985868138882008 & 1.02769606817616 \tabularnewline
36 & 161.7 & 159.59173388465 & 107.770833333333 & 1.48084346152391 & 1.01321037164039 \tabularnewline
37 & 109.3 & 104.867939671739 & 108.958333333333 & 0.962459102149803 & 1.04226325359432 \tabularnewline
38 & 99.9 & 97.0009597498362 & 110.595833333333 & 0.877076078060531 & 1.02988671717930 \tabularnewline
39 & 110.3 & 116.075080372668 & 112.645833333333 & 1.03044273310302 & 0.950247026716448 \tabularnewline
40 & 97.5 & 101.788976035997 & 114.975 & 0.885313990310911 & 0.957864041834155 \tabularnewline
41 & 102.4 & 104.578722657405 & 116.904166666667 & 0.894567966560115 & 0.9791666736594 \tabularnewline
42 & 122.3 & 126.954821846899 & 118.683333333333 & 1.06969376643926 & 0.963334816439561 \tabularnewline
43 & 104.4 & 105.631878760430 & 120.6625 & 0.87543253919345 & 0.988338001984955 \tabularnewline
44 & 122.7 & 120.273275831473 & 122.654166666667 & 0.980588585778223 & 1.02017675291332 \tabularnewline
45 & 127.3 & 123.022738229372 & 125.083333333333 & 0.983526221687182 & 1.03476805858973 \tabularnewline
46 & 128.4 & 123.953171382945 & 127.2375 & 0.974187416311584 & 1.03587506933015 \tabularnewline
47 & 125.3 & 127.345409056171 & 129.170833333333 & 0.985868138882008 & 0.983938101331403 \tabularnewline
48 & 187.1 & 195.00857333943 & 131.6875 & 1.48084346152391 & 0.959444996678866 \tabularnewline
49 & 131.4 & 129.446738992890 & 134.495833333333 & 0.962459102149803 & 1.01508930253714 \tabularnewline
50 & 125.6 & 120.861083556741 & 137.8 & 0.877076078060531 & 1.03920961407759 \tabularnewline
51 & 142.9 & 145.150739491724 & 140.8625 & 1.03044273310302 & 0.984493778677216 \tabularnewline
52 & 116.6 & 126.817540303745 & 143.245833333333 & 0.885313990310911 & 0.9194311742739 \tabularnewline
53 & 129.7 & 130.502556855011 & 145.883333333333 & 0.894567966560115 & 0.99385025953244 \tabularnewline
54 & 155.4 & 160.155442122758 & 149.720833333333 & 1.06969376643926 & 0.970307333552157 \tabularnewline
55 & 138.7 & 134.003188301457 & 153.070833333333 & 0.87543253919345 & 1.03504999961625 \tabularnewline
56 & 167.7 & 151.754255220728 & 154.758333333333 & 0.980588585778223 & 1.10507609658839 \tabularnewline
57 & 155.8 & 153.110444561152 & 155.675 & 0.983526221687182 & 1.01756611344547 \tabularnewline
58 & 157.1 & 153.397986040963 & 157.4625 & 0.974187416311584 & 1.02413339349872 \tabularnewline
59 & 159.9 & 157.743010005033 & 160.004166666667 & 0.985868138882008 & 1.0136740765559 \tabularnewline
60 & 244.6 & 239.014304871049 & 161.404166666667 & 1.48084346152391 & 1.02336971057847 \tabularnewline
61 & 154.3 & 156.692352076247 & 162.804166666667 & 0.962459102149803 & 0.984732170750218 \tabularnewline
62 & 143.2 & 144.067054788759 & 164.258333333333 & 0.877076078060531 & 0.99398158871207 \tabularnewline
63 & 147.3 & 170.366531873033 & 165.333333333333 & 1.03044273310302 & 0.864606436373175 \tabularnewline
64 & 155.1 & 147.139185189673 & 166.2 & 0.885313990310911 & 1.05410397509042 \tabularnewline
65 & 152.2 & 149.187845256536 & 166.770833333333 & 0.894567966560115 & 1.02019034954412 \tabularnewline
66 & 166.5 & 179.686267474995 & 167.979166666667 & 1.06969376643926 & 0.926615051554623 \tabularnewline
67 & 161.2 & NA & NA & 0.87543253919345 & NA \tabularnewline
68 & 180.1 & NA & NA & 0.980588585778223 & NA \tabularnewline
69 & 169.2 & NA & NA & 0.983526221687182 & NA \tabularnewline
70 & 164.5 & NA & NA & 0.974187416311584 & NA \tabularnewline
71 & 166.2 & NA & NA & 0.985868138882008 & NA \tabularnewline
72 & 267.3 & NA & NA & 1.48084346152391 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=72117&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]76.3[/C][C]NA[/C][C]NA[/C][C]0.962459102149803[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]71[/C][C]NA[/C][C]NA[/C][C]0.877076078060531[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]85.9[/C][C]NA[/C][C]NA[/C][C]1.03044273310302[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]109[/C][C]NA[/C][C]NA[/C][C]0.885313990310911[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]83.4[/C][C]NA[/C][C]NA[/C][C]0.894567966560115[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]101.3[/C][C]NA[/C][C]NA[/C][C]1.06969376643926[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]81.6[/C][C]80.1677347766401[/C][C]91.575[/C][C]0.87543253919345[/C][C]1.01786585622446[/C][/ROW]
[ROW][C]8[/C][C]84.8[/C][C]90.50832646733[/C][C]92.3[/C][C]0.980588585778223[/C][C]0.936930372153213[/C][/ROW]
[ROW][C]9[/C][C]88[/C][C]92.9719141309046[/C][C]94.5291666666667[/C][C]0.983526221687182[/C][C]0.94652240757457[/C][/ROW]
[ROW][C]10[/C][C]88.4[/C][C]93.2053810556108[/C][C]95.675[/C][C]0.974187416311584[/C][C]0.948443094152004[/C][/ROW]
[ROW][C]11[/C][C]85.2[/C][C]93.797137846799[/C][C]95.1416666666667[/C][C]0.985868138882008[/C][C]0.908343281637859[/C][/ROW]
[ROW][C]12[/C][C]139.5[/C][C]141.920335243798[/C][C]95.8375[/C][C]1.48084346152391[/C][C]0.982945817879868[/C][/ROW]
[ROW][C]13[/C][C]85.3[/C][C]92.7289242458746[/C][C]96.3458333333333[/C][C]0.962459102149803[/C][C]0.919885577167093[/C][/ROW]
[ROW][C]14[/C][C]79.4[/C][C]84.66707740211[/C][C]96.5333333333333[/C][C]0.877076078060531[/C][C]0.937790726174532[/C][/ROW]
[ROW][C]15[/C][C]131[/C][C]99.9829996907086[/C][C]97.0291666666667[/C][C]1.03044273310302[/C][C]1.31022274191853[/C][/ROW]
[ROW][C]16[/C][C]91.4[/C][C]86.3623797548294[/C][C]97.55[/C][C]0.885313990310911[/C][C]1.05833118841180[/C][/ROW]
[ROW][C]17[/C][C]88.2[/C][C]87.92112164675[/C][C]98.2833333333333[/C][C]0.894567966560115[/C][C]1.00317191532622[/C][/ROW]
[ROW][C]18[/C][C]113.2[/C][C]105.748142927241[/C][C]98.8583333333333[/C][C]1.06969376643926[/C][C]1.07046797103459[/C][/ROW]
[ROW][C]19[/C][C]81.9[/C][C]86.86114606589[/C][C]99.2208333333333[/C][C]0.87543253919345[/C][C]0.942884174448646[/C][/ROW]
[ROW][C]20[/C][C]89[/C][C]97.719738358574[/C][C]99.6541666666667[/C][C]0.980588585778223[/C][C]0.910767890857651[/C][/ROW]
[ROW][C]21[/C][C]95.7[/C][C]96.2913151290988[/C][C]97.9041666666667[/C][C]0.983526221687182[/C][C]0.993859102159878[/C][/ROW]
[ROW][C]22[/C][C]93.2[/C][C]93.2946815687726[/C][C]95.7666666666667[/C][C]0.974187416311584[/C][C]0.998985134337986[/C][/ROW]
[ROW][C]23[/C][C]98[/C][C]94.0394970976075[/C][C]95.3875[/C][C]0.985868138882008[/C][C]1.04211531350792[/C][/ROW]
[ROW][C]24[/C][C]140.5[/C][C]140.951616812718[/C][C]95.1833333333333[/C][C]1.48084346152391[/C][C]0.996795944431643[/C][/ROW]
[ROW][C]25[/C][C]93[/C][C]91.7343831736531[/C][C]95.3125[/C][C]0.962459102149803[/C][C]1.01379653716046[/C][/ROW]
[ROW][C]26[/C][C]82.1[/C][C]84.2139214284453[/C][C]96.0166666666667[/C][C]0.877076078060531[/C][C]0.974898195065747[/C][/ROW]
[ROW][C]27[/C][C]86.3[/C][C]99.6309317568984[/C][C]96.6875[/C][C]1.03044273310302[/C][C]0.866196857523864[/C][/ROW]
[ROW][C]28[/C][C]84.8[/C][C]86.000876542119[/C][C]97.1416666666667[/C][C]0.885313990310911[/C][C]0.986036461598959[/C][/ROW]
[ROW][C]29[/C][C]85.7[/C][C]87.5036565956885[/C][C]97.8166666666666[/C][C]0.894567966560115[/C][C]0.979387643147048[/C][/ROW]
[ROW][C]30[/C][C]110.8[/C][C]106.024480483571[/C][C]99.1166666666667[/C][C]1.06969376643926[/C][C]1.0450416686283[/C][/ROW]
[ROW][C]31[/C][C]87.4[/C][C]88.1378185188805[/C][C]100.679166666667[/C][C]0.87543253919345[/C][C]0.991628808934925[/C][/ROW]
[ROW][C]32[/C][C]100.4[/C][C]100.118094607957[/C][C]102.1[/C][C]0.980588585778223[/C][C]1.00281572869667[/C][/ROW]
[ROW][C]33[/C][C]100.4[/C][C]102.131002070366[/C][C]103.841666666667[/C][C]0.983526221687182[/C][C]0.983051159439581[/C][/ROW]
[ROW][C]34[/C][C]99.4[/C][C]102.650939879598[/C][C]105.370833333333[/C][C]0.974187416311584[/C][C]0.96833014989038[/C][/ROW]
[ROW][C]35[/C][C]108[/C][C]105.08943582091[/C][C]106.595833333333[/C][C]0.985868138882008[/C][C]1.02769606817616[/C][/ROW]
[ROW][C]36[/C][C]161.7[/C][C]159.59173388465[/C][C]107.770833333333[/C][C]1.48084346152391[/C][C]1.01321037164039[/C][/ROW]
[ROW][C]37[/C][C]109.3[/C][C]104.867939671739[/C][C]108.958333333333[/C][C]0.962459102149803[/C][C]1.04226325359432[/C][/ROW]
[ROW][C]38[/C][C]99.9[/C][C]97.0009597498362[/C][C]110.595833333333[/C][C]0.877076078060531[/C][C]1.02988671717930[/C][/ROW]
[ROW][C]39[/C][C]110.3[/C][C]116.075080372668[/C][C]112.645833333333[/C][C]1.03044273310302[/C][C]0.950247026716448[/C][/ROW]
[ROW][C]40[/C][C]97.5[/C][C]101.788976035997[/C][C]114.975[/C][C]0.885313990310911[/C][C]0.957864041834155[/C][/ROW]
[ROW][C]41[/C][C]102.4[/C][C]104.578722657405[/C][C]116.904166666667[/C][C]0.894567966560115[/C][C]0.9791666736594[/C][/ROW]
[ROW][C]42[/C][C]122.3[/C][C]126.954821846899[/C][C]118.683333333333[/C][C]1.06969376643926[/C][C]0.963334816439561[/C][/ROW]
[ROW][C]43[/C][C]104.4[/C][C]105.631878760430[/C][C]120.6625[/C][C]0.87543253919345[/C][C]0.988338001984955[/C][/ROW]
[ROW][C]44[/C][C]122.7[/C][C]120.273275831473[/C][C]122.654166666667[/C][C]0.980588585778223[/C][C]1.02017675291332[/C][/ROW]
[ROW][C]45[/C][C]127.3[/C][C]123.022738229372[/C][C]125.083333333333[/C][C]0.983526221687182[/C][C]1.03476805858973[/C][/ROW]
[ROW][C]46[/C][C]128.4[/C][C]123.953171382945[/C][C]127.2375[/C][C]0.974187416311584[/C][C]1.03587506933015[/C][/ROW]
[ROW][C]47[/C][C]125.3[/C][C]127.345409056171[/C][C]129.170833333333[/C][C]0.985868138882008[/C][C]0.983938101331403[/C][/ROW]
[ROW][C]48[/C][C]187.1[/C][C]195.00857333943[/C][C]131.6875[/C][C]1.48084346152391[/C][C]0.959444996678866[/C][/ROW]
[ROW][C]49[/C][C]131.4[/C][C]129.446738992890[/C][C]134.495833333333[/C][C]0.962459102149803[/C][C]1.01508930253714[/C][/ROW]
[ROW][C]50[/C][C]125.6[/C][C]120.861083556741[/C][C]137.8[/C][C]0.877076078060531[/C][C]1.03920961407759[/C][/ROW]
[ROW][C]51[/C][C]142.9[/C][C]145.150739491724[/C][C]140.8625[/C][C]1.03044273310302[/C][C]0.984493778677216[/C][/ROW]
[ROW][C]52[/C][C]116.6[/C][C]126.817540303745[/C][C]143.245833333333[/C][C]0.885313990310911[/C][C]0.9194311742739[/C][/ROW]
[ROW][C]53[/C][C]129.7[/C][C]130.502556855011[/C][C]145.883333333333[/C][C]0.894567966560115[/C][C]0.99385025953244[/C][/ROW]
[ROW][C]54[/C][C]155.4[/C][C]160.155442122758[/C][C]149.720833333333[/C][C]1.06969376643926[/C][C]0.970307333552157[/C][/ROW]
[ROW][C]55[/C][C]138.7[/C][C]134.003188301457[/C][C]153.070833333333[/C][C]0.87543253919345[/C][C]1.03504999961625[/C][/ROW]
[ROW][C]56[/C][C]167.7[/C][C]151.754255220728[/C][C]154.758333333333[/C][C]0.980588585778223[/C][C]1.10507609658839[/C][/ROW]
[ROW][C]57[/C][C]155.8[/C][C]153.110444561152[/C][C]155.675[/C][C]0.983526221687182[/C][C]1.01756611344547[/C][/ROW]
[ROW][C]58[/C][C]157.1[/C][C]153.397986040963[/C][C]157.4625[/C][C]0.974187416311584[/C][C]1.02413339349872[/C][/ROW]
[ROW][C]59[/C][C]159.9[/C][C]157.743010005033[/C][C]160.004166666667[/C][C]0.985868138882008[/C][C]1.0136740765559[/C][/ROW]
[ROW][C]60[/C][C]244.6[/C][C]239.014304871049[/C][C]161.404166666667[/C][C]1.48084346152391[/C][C]1.02336971057847[/C][/ROW]
[ROW][C]61[/C][C]154.3[/C][C]156.692352076247[/C][C]162.804166666667[/C][C]0.962459102149803[/C][C]0.984732170750218[/C][/ROW]
[ROW][C]62[/C][C]143.2[/C][C]144.067054788759[/C][C]164.258333333333[/C][C]0.877076078060531[/C][C]0.99398158871207[/C][/ROW]
[ROW][C]63[/C][C]147.3[/C][C]170.366531873033[/C][C]165.333333333333[/C][C]1.03044273310302[/C][C]0.864606436373175[/C][/ROW]
[ROW][C]64[/C][C]155.1[/C][C]147.139185189673[/C][C]166.2[/C][C]0.885313990310911[/C][C]1.05410397509042[/C][/ROW]
[ROW][C]65[/C][C]152.2[/C][C]149.187845256536[/C][C]166.770833333333[/C][C]0.894567966560115[/C][C]1.02019034954412[/C][/ROW]
[ROW][C]66[/C][C]166.5[/C][C]179.686267474995[/C][C]167.979166666667[/C][C]1.06969376643926[/C][C]0.926615051554623[/C][/ROW]
[ROW][C]67[/C][C]161.2[/C][C]NA[/C][C]NA[/C][C]0.87543253919345[/C][C]NA[/C][/ROW]
[ROW][C]68[/C][C]180.1[/C][C]NA[/C][C]NA[/C][C]0.980588585778223[/C][C]NA[/C][/ROW]
[ROW][C]69[/C][C]169.2[/C][C]NA[/C][C]NA[/C][C]0.983526221687182[/C][C]NA[/C][/ROW]
[ROW][C]70[/C][C]164.5[/C][C]NA[/C][C]NA[/C][C]0.974187416311584[/C][C]NA[/C][/ROW]
[ROW][C]71[/C][C]166.2[/C][C]NA[/C][C]NA[/C][C]0.985868138882008[/C][C]NA[/C][/ROW]
[ROW][C]72[/C][C]267.3[/C][C]NA[/C][C]NA[/C][C]1.48084346152391[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=72117&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=72117&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	76.3	NA	NA	0.962459102149803	NA
2	71	NA	NA	0.877076078060531	NA
3	85.9	NA	NA	1.03044273310302	NA
4	109	NA	NA	0.885313990310911	NA
5	83.4	NA	NA	0.894567966560115	NA
6	101.3	NA	NA	1.06969376643926	NA
7	81.6	80.1677347766401	91.575	0.87543253919345	1.01786585622446
8	84.8	90.50832646733	92.3	0.980588585778223	0.936930372153213
9	88	92.9719141309046	94.5291666666667	0.983526221687182	0.94652240757457
10	88.4	93.2053810556108	95.675	0.974187416311584	0.948443094152004
11	85.2	93.797137846799	95.1416666666667	0.985868138882008	0.908343281637859
12	139.5	141.920335243798	95.8375	1.48084346152391	0.982945817879868
13	85.3	92.7289242458746	96.3458333333333	0.962459102149803	0.919885577167093
14	79.4	84.66707740211	96.5333333333333	0.877076078060531	0.937790726174532
15	131	99.9829996907086	97.0291666666667	1.03044273310302	1.31022274191853
16	91.4	86.3623797548294	97.55	0.885313990310911	1.05833118841180
17	88.2	87.92112164675	98.2833333333333	0.894567966560115	1.00317191532622
18	113.2	105.748142927241	98.8583333333333	1.06969376643926	1.07046797103459
19	81.9	86.86114606589	99.2208333333333	0.87543253919345	0.942884174448646
20	89	97.719738358574	99.6541666666667	0.980588585778223	0.910767890857651
21	95.7	96.2913151290988	97.9041666666667	0.983526221687182	0.993859102159878
22	93.2	93.2946815687726	95.7666666666667	0.974187416311584	0.998985134337986
23	98	94.0394970976075	95.3875	0.985868138882008	1.04211531350792
24	140.5	140.951616812718	95.1833333333333	1.48084346152391	0.996795944431643
25	93	91.7343831736531	95.3125	0.962459102149803	1.01379653716046
26	82.1	84.2139214284453	96.0166666666667	0.877076078060531	0.974898195065747
27	86.3	99.6309317568984	96.6875	1.03044273310302	0.866196857523864
28	84.8	86.000876542119	97.1416666666667	0.885313990310911	0.986036461598959
29	85.7	87.5036565956885	97.8166666666666	0.894567966560115	0.979387643147048
30	110.8	106.024480483571	99.1166666666667	1.06969376643926	1.0450416686283
31	87.4	88.1378185188805	100.679166666667	0.87543253919345	0.991628808934925
32	100.4	100.118094607957	102.1	0.980588585778223	1.00281572869667
33	100.4	102.131002070366	103.841666666667	0.983526221687182	0.983051159439581
34	99.4	102.650939879598	105.370833333333	0.974187416311584	0.96833014989038
35	108	105.08943582091	106.595833333333	0.985868138882008	1.02769606817616
36	161.7	159.59173388465	107.770833333333	1.48084346152391	1.01321037164039
37	109.3	104.867939671739	108.958333333333	0.962459102149803	1.04226325359432
38	99.9	97.0009597498362	110.595833333333	0.877076078060531	1.02988671717930
39	110.3	116.075080372668	112.645833333333	1.03044273310302	0.950247026716448
40	97.5	101.788976035997	114.975	0.885313990310911	0.957864041834155
41	102.4	104.578722657405	116.904166666667	0.894567966560115	0.9791666736594
42	122.3	126.954821846899	118.683333333333	1.06969376643926	0.963334816439561
43	104.4	105.631878760430	120.6625	0.87543253919345	0.988338001984955
44	122.7	120.273275831473	122.654166666667	0.980588585778223	1.02017675291332
45	127.3	123.022738229372	125.083333333333	0.983526221687182	1.03476805858973
46	128.4	123.953171382945	127.2375	0.974187416311584	1.03587506933015
47	125.3	127.345409056171	129.170833333333	0.985868138882008	0.983938101331403
48	187.1	195.00857333943	131.6875	1.48084346152391	0.959444996678866
49	131.4	129.446738992890	134.495833333333	0.962459102149803	1.01508930253714
50	125.6	120.861083556741	137.8	0.877076078060531	1.03920961407759
51	142.9	145.150739491724	140.8625	1.03044273310302	0.984493778677216
52	116.6	126.817540303745	143.245833333333	0.885313990310911	0.9194311742739
53	129.7	130.502556855011	145.883333333333	0.894567966560115	0.99385025953244
54	155.4	160.155442122758	149.720833333333	1.06969376643926	0.970307333552157
55	138.7	134.003188301457	153.070833333333	0.87543253919345	1.03504999961625
56	167.7	151.754255220728	154.758333333333	0.980588585778223	1.10507609658839
57	155.8	153.110444561152	155.675	0.983526221687182	1.01756611344547
58	157.1	153.397986040963	157.4625	0.974187416311584	1.02413339349872
59	159.9	157.743010005033	160.004166666667	0.985868138882008	1.0136740765559
60	244.6	239.014304871049	161.404166666667	1.48084346152391	1.02336971057847
61	154.3	156.692352076247	162.804166666667	0.962459102149803	0.984732170750218
62	143.2	144.067054788759	164.258333333333	0.877076078060531	0.99398158871207
63	147.3	170.366531873033	165.333333333333	1.03044273310302	0.864606436373175
64	155.1	147.139185189673	166.2	0.885313990310911	1.05410397509042
65	152.2	149.187845256536	166.770833333333	0.894567966560115	1.02019034954412
66	166.5	179.686267474995	167.979166666667	1.06969376643926	0.926615051554623
67	161.2	NA	NA	0.87543253919345	NA
68	180.1	NA	NA	0.980588585778223	NA
69	169.2	NA	NA	0.983526221687182	NA
70	164.5	NA	NA	0.974187416311584	NA
71	166.2	NA	NA	0.985868138882008	NA
72	267.3	NA	NA	1.48084346152391	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