Repository of Reproducible Computations

Free Statistics

of Irreproducible Research!

Author's title

Author

*Unverified author*

R Software Module

rwasp_decompose.wasp

Title produced by software

Classical Decomposition

Date of computation

Sat, 31 May 2008 07:56:15 -0600

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/2008/May/31/t12122422328u5oz0a47z4yp8m.htm/, Retrieved Sat, 07 Feb 2026 08:57:18 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=13601, Retrieved Sat, 07 Feb 2026 08:57:18 +0000

QR Codes:

Paste this QR Code to cite your computation.

Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

417

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

-       [Classical Decomposition] [Classical decompo...] [2008-05-31 13:56:15] [3e68c9212ad297cb41373898449ccda3] [Current]

Feedback Forum

Post a new message

Dataseries X:

Download CSV

Histogram

Boxplots

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	7 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 & 7 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=13601&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]7 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=13601&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=13601&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	7 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

Classical Decomposition by Moving Averages
t	Observations	Fit	Trend	Seasonal	Random
1	68.4	NA	NA	1.00303776605987	NA
2	70.6	NA	NA	0.999525670381087	NA
3	83.9	NA	NA	1.01224647878114	NA
4	90.1	NA	NA	0.985604024462152	NA
5	90.6	NA	NA	0.98701818727222	NA
6	87.1	NA	NA	1.00337907906274	NA
7	90.8	92.952666829621	89.5708333333333	1.03775596776802	0.976841257996752
8	94.1	100.719234299844	93.0416666666667	1.08251752046406	0.934280335371314
9	99.8	96.0699003085396	95.825	1.00255570371552	1.03882693413318
10	96.8	96.930793046281	96.725	1.00212760967982	0.998650655357595
11	87	91.7849068869117	96.7291666666667	0.948885533183666	0.947868260161693
12	96.3	90.9117785543822	97.1958333333333	0.935346459169705	1.05926868367661
13	107.1	98.3436736381446	98.0458333333333	1.00303776605987	1.08903802388016
14	115.2	98.8489241103963	98.8958333333333	0.999525670381087	1.16541480887888
15	106.1	100.334714515519	99.1208333333333	1.01224647878114	1.05746052612319
16	89.5	97.6897855579403	99.1166666666666	0.985604024462152	0.916165385038307
17	91.3	98.6730306967598	99.9708333333333	0.98701818727222	0.925278157114496
18	97.6	101.332925493012	100.991666666667	1.00337907906274	0.963161771212566
19	100.7	105.332230728454	101.5	1.03775596776802	0.956022665651167
20	104.6	109.776297554393	101.408333333333	1.08251752046406	0.952846856109095
21	94.7	101.909787282682	101.65	1.00255570371552	0.92925323980234
22	101.8	103.557361865289	103.3375	1.00212760967982	0.983030063400273
23	102.5	100.795365762435	106.225	0.948885533183666	1.01691183145843
24	105.3	102.019017757022	109.070833333333	0.935346459169705	1.03216049629876
25	110.3	111.939014692281	111.6	1.00303776605987	0.985357967489827
26	109.8	114.662253153884	114.716666666667	0.999525670381087	0.95759499730606
27	117.3	120.065085464428	118.6125	1.01224647878114	0.976970112054376
28	118.8	121.574256417407	123.35	0.985604024462152	0.977180560266957
29	131.3	126.268414182579	127.929166666667	0.98701818727222	1.03984833301340
30	125.9	131.693504126985	131.25	1.00337907906274	0.956007669737463
31	133.1	139.396570370439	134.325	1.03775596776802	0.95482980425052
32	147	149.396438803378	138.008333333333	1.08251752046406	0.983959197270212
33	145.8	142.943556772672	142.579166666667	1.00255570371552	1.01998301491735
34	164.4	148.072705393608	147.758333333333	1.00212760967982	1.11026538998521
35	149.8	144.187110456980	151.954166666667	0.948885533183666	1.03892781764772
36	137.7	146.214137952791	156.320833333333	0.935346459169705	0.941769393356886
37	151.7	162.316586492638	161.825	1.00303776605987	0.934593335640906
38	156.8	167.478855452938	167.558333333333	0.999525670381087	0.936237589968852
39	180	175.637417149512	173.5125	1.01224647878114	1.02483857324533
40	180.4	175.626423792285	178.191666666667	0.985604024462152	1.02718028474668
41	170.4	179.365880082044	181.725	0.98701818727222	0.950013458089448
42	191.6	186.762292582879	186.133333333333	1.00337907906274	1.02590302009157
43	199.5	198.747563760371	191.516666666667	1.03775596776802	1.00378588912182
44	218.2	212.818434033566	196.595833333333	1.08251752046406	1.02528712322723
45	217.5	200.836971346811	200.325	1.00255570371552	1.08296793434718
46	205	204.71796853076	204.283333333333	1.00212760967982	1.00137765859667
47	194	199.044555344160	209.766666666667	0.948885533183666	0.974656150049228
48	199.3	200.916316706566	214.804166666667	0.935346459169705	0.991955274051104
49	219.3	219.844981700196	219.179166666667	1.00303776605987	0.997521063724167
50	211.1	222.85257759205	222.958333333333	0.999525670381087	0.94726299458127
51	215.2	227.186069081441	224.4375	1.01224647878114	0.947241179312167
52	240.2	221.181863139613	224.4125	0.985604024462152	1.08598416068311
53	242.2	221.922814256598	224.841666666667	0.98701818727222	1.09137044251772
54	240.7	226.767852614343	226.004166666667	1.00337907906274	1.06143792969346
55	255.4	233.910195134911	225.4	1.03775596776802	1.09187203171155
56	253	242.240358141846	223.775	1.08251752046406	1.04441721412851
57	218.2	223.954234948318	223.383333333333	1.00255570371552	0.974306201668183
58	203.7	223.395121856168	222.920833333333	1.00212760967982	0.911837278752897
59	205.6	210.652588366774	222	0.948885533183666	0.976014591579683
60	215.6	207.183137983003	221.504166666667	0.935346459169705	1.04062522702831
61	188.5	222.365114087422	221.691666666667	1.00303776605987	0.8477049143864
62	202.9	221.544864839968	221.65	0.999525670381087	0.915841584261337
63	214	226.342530349124	223.604166666667	1.01224647878114	0.945469681150574
64	230.3	226.056496377265	229.358333333333	0.985604024462152	1.01877187203527
65	230	234.733487812235	237.820833333333	0.98701818727222	0.97983462923696
66	241	247.675764174313	246.841666666667	1.00337907906274	0.973046356810211
67	259.6	266.154137850103	256.470833333333	1.03775596776802	0.975374653563364
68	247.8	NA	NA	1.08251752046406	NA
69	270.3	NA	NA	1.00255570371552	NA
70	289.7	NA	NA	1.00212760967982	NA
71	322.7	NA	NA	0.948885533183666	NA
72	315	NA	NA	0.935346459169705	NA
73	320.2	NA	NA	NA	NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 68.4 & NA & NA & 1.00303776605987 & NA \tabularnewline
2 & 70.6 & NA & NA & 0.999525670381087 & NA \tabularnewline
3 & 83.9 & NA & NA & 1.01224647878114 & NA \tabularnewline
4 & 90.1 & NA & NA & 0.985604024462152 & NA \tabularnewline
5 & 90.6 & NA & NA & 0.98701818727222 & NA \tabularnewline
6 & 87.1 & NA & NA & 1.00337907906274 & NA \tabularnewline
7 & 90.8 & 92.952666829621 & 89.5708333333333 & 1.03775596776802 & 0.976841257996752 \tabularnewline
8 & 94.1 & 100.719234299844 & 93.0416666666667 & 1.08251752046406 & 0.934280335371314 \tabularnewline
9 & 99.8 & 96.0699003085396 & 95.825 & 1.00255570371552 & 1.03882693413318 \tabularnewline
10 & 96.8 & 96.930793046281 & 96.725 & 1.00212760967982 & 0.998650655357595 \tabularnewline
11 & 87 & 91.7849068869117 & 96.7291666666667 & 0.948885533183666 & 0.947868260161693 \tabularnewline
12 & 96.3 & 90.9117785543822 & 97.1958333333333 & 0.935346459169705 & 1.05926868367661 \tabularnewline
13 & 107.1 & 98.3436736381446 & 98.0458333333333 & 1.00303776605987 & 1.08903802388016 \tabularnewline
14 & 115.2 & 98.8489241103963 & 98.8958333333333 & 0.999525670381087 & 1.16541480887888 \tabularnewline
15 & 106.1 & 100.334714515519 & 99.1208333333333 & 1.01224647878114 & 1.05746052612319 \tabularnewline
16 & 89.5 & 97.6897855579403 & 99.1166666666666 & 0.985604024462152 & 0.916165385038307 \tabularnewline
17 & 91.3 & 98.6730306967598 & 99.9708333333333 & 0.98701818727222 & 0.925278157114496 \tabularnewline
18 & 97.6 & 101.332925493012 & 100.991666666667 & 1.00337907906274 & 0.963161771212566 \tabularnewline
19 & 100.7 & 105.332230728454 & 101.5 & 1.03775596776802 & 0.956022665651167 \tabularnewline
20 & 104.6 & 109.776297554393 & 101.408333333333 & 1.08251752046406 & 0.952846856109095 \tabularnewline
21 & 94.7 & 101.909787282682 & 101.65 & 1.00255570371552 & 0.92925323980234 \tabularnewline
22 & 101.8 & 103.557361865289 & 103.3375 & 1.00212760967982 & 0.983030063400273 \tabularnewline
23 & 102.5 & 100.795365762435 & 106.225 & 0.948885533183666 & 1.01691183145843 \tabularnewline
24 & 105.3 & 102.019017757022 & 109.070833333333 & 0.935346459169705 & 1.03216049629876 \tabularnewline
25 & 110.3 & 111.939014692281 & 111.6 & 1.00303776605987 & 0.985357967489827 \tabularnewline
26 & 109.8 & 114.662253153884 & 114.716666666667 & 0.999525670381087 & 0.95759499730606 \tabularnewline
27 & 117.3 & 120.065085464428 & 118.6125 & 1.01224647878114 & 0.976970112054376 \tabularnewline
28 & 118.8 & 121.574256417407 & 123.35 & 0.985604024462152 & 0.977180560266957 \tabularnewline
29 & 131.3 & 126.268414182579 & 127.929166666667 & 0.98701818727222 & 1.03984833301340 \tabularnewline
30 & 125.9 & 131.693504126985 & 131.25 & 1.00337907906274 & 0.956007669737463 \tabularnewline
31 & 133.1 & 139.396570370439 & 134.325 & 1.03775596776802 & 0.95482980425052 \tabularnewline
32 & 147 & 149.396438803378 & 138.008333333333 & 1.08251752046406 & 0.983959197270212 \tabularnewline
33 & 145.8 & 142.943556772672 & 142.579166666667 & 1.00255570371552 & 1.01998301491735 \tabularnewline
34 & 164.4 & 148.072705393608 & 147.758333333333 & 1.00212760967982 & 1.11026538998521 \tabularnewline
35 & 149.8 & 144.187110456980 & 151.954166666667 & 0.948885533183666 & 1.03892781764772 \tabularnewline
36 & 137.7 & 146.214137952791 & 156.320833333333 & 0.935346459169705 & 0.941769393356886 \tabularnewline
37 & 151.7 & 162.316586492638 & 161.825 & 1.00303776605987 & 0.934593335640906 \tabularnewline
38 & 156.8 & 167.478855452938 & 167.558333333333 & 0.999525670381087 & 0.936237589968852 \tabularnewline
39 & 180 & 175.637417149512 & 173.5125 & 1.01224647878114 & 1.02483857324533 \tabularnewline
40 & 180.4 & 175.626423792285 & 178.191666666667 & 0.985604024462152 & 1.02718028474668 \tabularnewline
41 & 170.4 & 179.365880082044 & 181.725 & 0.98701818727222 & 0.950013458089448 \tabularnewline
42 & 191.6 & 186.762292582879 & 186.133333333333 & 1.00337907906274 & 1.02590302009157 \tabularnewline
43 & 199.5 & 198.747563760371 & 191.516666666667 & 1.03775596776802 & 1.00378588912182 \tabularnewline
44 & 218.2 & 212.818434033566 & 196.595833333333 & 1.08251752046406 & 1.02528712322723 \tabularnewline
45 & 217.5 & 200.836971346811 & 200.325 & 1.00255570371552 & 1.08296793434718 \tabularnewline
46 & 205 & 204.71796853076 & 204.283333333333 & 1.00212760967982 & 1.00137765859667 \tabularnewline
47 & 194 & 199.044555344160 & 209.766666666667 & 0.948885533183666 & 0.974656150049228 \tabularnewline
48 & 199.3 & 200.916316706566 & 214.804166666667 & 0.935346459169705 & 0.991955274051104 \tabularnewline
49 & 219.3 & 219.844981700196 & 219.179166666667 & 1.00303776605987 & 0.997521063724167 \tabularnewline
50 & 211.1 & 222.85257759205 & 222.958333333333 & 0.999525670381087 & 0.94726299458127 \tabularnewline
51 & 215.2 & 227.186069081441 & 224.4375 & 1.01224647878114 & 0.947241179312167 \tabularnewline
52 & 240.2 & 221.181863139613 & 224.4125 & 0.985604024462152 & 1.08598416068311 \tabularnewline
53 & 242.2 & 221.922814256598 & 224.841666666667 & 0.98701818727222 & 1.09137044251772 \tabularnewline
54 & 240.7 & 226.767852614343 & 226.004166666667 & 1.00337907906274 & 1.06143792969346 \tabularnewline
55 & 255.4 & 233.910195134911 & 225.4 & 1.03775596776802 & 1.09187203171155 \tabularnewline
56 & 253 & 242.240358141846 & 223.775 & 1.08251752046406 & 1.04441721412851 \tabularnewline
57 & 218.2 & 223.954234948318 & 223.383333333333 & 1.00255570371552 & 0.974306201668183 \tabularnewline
58 & 203.7 & 223.395121856168 & 222.920833333333 & 1.00212760967982 & 0.911837278752897 \tabularnewline
59 & 205.6 & 210.652588366774 & 222 & 0.948885533183666 & 0.976014591579683 \tabularnewline
60 & 215.6 & 207.183137983003 & 221.504166666667 & 0.935346459169705 & 1.04062522702831 \tabularnewline
61 & 188.5 & 222.365114087422 & 221.691666666667 & 1.00303776605987 & 0.8477049143864 \tabularnewline
62 & 202.9 & 221.544864839968 & 221.65 & 0.999525670381087 & 0.915841584261337 \tabularnewline
63 & 214 & 226.342530349124 & 223.604166666667 & 1.01224647878114 & 0.945469681150574 \tabularnewline
64 & 230.3 & 226.056496377265 & 229.358333333333 & 0.985604024462152 & 1.01877187203527 \tabularnewline
65 & 230 & 234.733487812235 & 237.820833333333 & 0.98701818727222 & 0.97983462923696 \tabularnewline
66 & 241 & 247.675764174313 & 246.841666666667 & 1.00337907906274 & 0.973046356810211 \tabularnewline
67 & 259.6 & 266.154137850103 & 256.470833333333 & 1.03775596776802 & 0.975374653563364 \tabularnewline
68 & 247.8 & NA & NA & 1.08251752046406 & NA \tabularnewline
69 & 270.3 & NA & NA & 1.00255570371552 & NA \tabularnewline
70 & 289.7 & NA & NA & 1.00212760967982 & NA \tabularnewline
71 & 322.7 & NA & NA & 0.948885533183666 & NA \tabularnewline
72 & 315 & NA & NA & 0.935346459169705 & NA \tabularnewline
73 & 320.2 & NA & NA & NA & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=13601&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]68.4[/C][C]NA[/C][C]NA[/C][C]1.00303776605987[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]70.6[/C][C]NA[/C][C]NA[/C][C]0.999525670381087[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]83.9[/C][C]NA[/C][C]NA[/C][C]1.01224647878114[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]90.1[/C][C]NA[/C][C]NA[/C][C]0.985604024462152[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]90.6[/C][C]NA[/C][C]NA[/C][C]0.98701818727222[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]87.1[/C][C]NA[/C][C]NA[/C][C]1.00337907906274[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]90.8[/C][C]92.952666829621[/C][C]89.5708333333333[/C][C]1.03775596776802[/C][C]0.976841257996752[/C][/ROW]
[ROW][C]8[/C][C]94.1[/C][C]100.719234299844[/C][C]93.0416666666667[/C][C]1.08251752046406[/C][C]0.934280335371314[/C][/ROW]
[ROW][C]9[/C][C]99.8[/C][C]96.0699003085396[/C][C]95.825[/C][C]1.00255570371552[/C][C]1.03882693413318[/C][/ROW]
[ROW][C]10[/C][C]96.8[/C][C]96.930793046281[/C][C]96.725[/C][C]1.00212760967982[/C][C]0.998650655357595[/C][/ROW]
[ROW][C]11[/C][C]87[/C][C]91.7849068869117[/C][C]96.7291666666667[/C][C]0.948885533183666[/C][C]0.947868260161693[/C][/ROW]
[ROW][C]12[/C][C]96.3[/C][C]90.9117785543822[/C][C]97.1958333333333[/C][C]0.935346459169705[/C][C]1.05926868367661[/C][/ROW]
[ROW][C]13[/C][C]107.1[/C][C]98.3436736381446[/C][C]98.0458333333333[/C][C]1.00303776605987[/C][C]1.08903802388016[/C][/ROW]
[ROW][C]14[/C][C]115.2[/C][C]98.8489241103963[/C][C]98.8958333333333[/C][C]0.999525670381087[/C][C]1.16541480887888[/C][/ROW]
[ROW][C]15[/C][C]106.1[/C][C]100.334714515519[/C][C]99.1208333333333[/C][C]1.01224647878114[/C][C]1.05746052612319[/C][/ROW]
[ROW][C]16[/C][C]89.5[/C][C]97.6897855579403[/C][C]99.1166666666666[/C][C]0.985604024462152[/C][C]0.916165385038307[/C][/ROW]
[ROW][C]17[/C][C]91.3[/C][C]98.6730306967598[/C][C]99.9708333333333[/C][C]0.98701818727222[/C][C]0.925278157114496[/C][/ROW]
[ROW][C]18[/C][C]97.6[/C][C]101.332925493012[/C][C]100.991666666667[/C][C]1.00337907906274[/C][C]0.963161771212566[/C][/ROW]
[ROW][C]19[/C][C]100.7[/C][C]105.332230728454[/C][C]101.5[/C][C]1.03775596776802[/C][C]0.956022665651167[/C][/ROW]
[ROW][C]20[/C][C]104.6[/C][C]109.776297554393[/C][C]101.408333333333[/C][C]1.08251752046406[/C][C]0.952846856109095[/C][/ROW]
[ROW][C]21[/C][C]94.7[/C][C]101.909787282682[/C][C]101.65[/C][C]1.00255570371552[/C][C]0.92925323980234[/C][/ROW]
[ROW][C]22[/C][C]101.8[/C][C]103.557361865289[/C][C]103.3375[/C][C]1.00212760967982[/C][C]0.983030063400273[/C][/ROW]
[ROW][C]23[/C][C]102.5[/C][C]100.795365762435[/C][C]106.225[/C][C]0.948885533183666[/C][C]1.01691183145843[/C][/ROW]
[ROW][C]24[/C][C]105.3[/C][C]102.019017757022[/C][C]109.070833333333[/C][C]0.935346459169705[/C][C]1.03216049629876[/C][/ROW]
[ROW][C]25[/C][C]110.3[/C][C]111.939014692281[/C][C]111.6[/C][C]1.00303776605987[/C][C]0.985357967489827[/C][/ROW]
[ROW][C]26[/C][C]109.8[/C][C]114.662253153884[/C][C]114.716666666667[/C][C]0.999525670381087[/C][C]0.95759499730606[/C][/ROW]
[ROW][C]27[/C][C]117.3[/C][C]120.065085464428[/C][C]118.6125[/C][C]1.01224647878114[/C][C]0.976970112054376[/C][/ROW]
[ROW][C]28[/C][C]118.8[/C][C]121.574256417407[/C][C]123.35[/C][C]0.985604024462152[/C][C]0.977180560266957[/C][/ROW]
[ROW][C]29[/C][C]131.3[/C][C]126.268414182579[/C][C]127.929166666667[/C][C]0.98701818727222[/C][C]1.03984833301340[/C][/ROW]
[ROW][C]30[/C][C]125.9[/C][C]131.693504126985[/C][C]131.25[/C][C]1.00337907906274[/C][C]0.956007669737463[/C][/ROW]
[ROW][C]31[/C][C]133.1[/C][C]139.396570370439[/C][C]134.325[/C][C]1.03775596776802[/C][C]0.95482980425052[/C][/ROW]
[ROW][C]32[/C][C]147[/C][C]149.396438803378[/C][C]138.008333333333[/C][C]1.08251752046406[/C][C]0.983959197270212[/C][/ROW]
[ROW][C]33[/C][C]145.8[/C][C]142.943556772672[/C][C]142.579166666667[/C][C]1.00255570371552[/C][C]1.01998301491735[/C][/ROW]
[ROW][C]34[/C][C]164.4[/C][C]148.072705393608[/C][C]147.758333333333[/C][C]1.00212760967982[/C][C]1.11026538998521[/C][/ROW]
[ROW][C]35[/C][C]149.8[/C][C]144.187110456980[/C][C]151.954166666667[/C][C]0.948885533183666[/C][C]1.03892781764772[/C][/ROW]
[ROW][C]36[/C][C]137.7[/C][C]146.214137952791[/C][C]156.320833333333[/C][C]0.935346459169705[/C][C]0.941769393356886[/C][/ROW]
[ROW][C]37[/C][C]151.7[/C][C]162.316586492638[/C][C]161.825[/C][C]1.00303776605987[/C][C]0.934593335640906[/C][/ROW]
[ROW][C]38[/C][C]156.8[/C][C]167.478855452938[/C][C]167.558333333333[/C][C]0.999525670381087[/C][C]0.936237589968852[/C][/ROW]
[ROW][C]39[/C][C]180[/C][C]175.637417149512[/C][C]173.5125[/C][C]1.01224647878114[/C][C]1.02483857324533[/C][/ROW]
[ROW][C]40[/C][C]180.4[/C][C]175.626423792285[/C][C]178.191666666667[/C][C]0.985604024462152[/C][C]1.02718028474668[/C][/ROW]
[ROW][C]41[/C][C]170.4[/C][C]179.365880082044[/C][C]181.725[/C][C]0.98701818727222[/C][C]0.950013458089448[/C][/ROW]
[ROW][C]42[/C][C]191.6[/C][C]186.762292582879[/C][C]186.133333333333[/C][C]1.00337907906274[/C][C]1.02590302009157[/C][/ROW]
[ROW][C]43[/C][C]199.5[/C][C]198.747563760371[/C][C]191.516666666667[/C][C]1.03775596776802[/C][C]1.00378588912182[/C][/ROW]
[ROW][C]44[/C][C]218.2[/C][C]212.818434033566[/C][C]196.595833333333[/C][C]1.08251752046406[/C][C]1.02528712322723[/C][/ROW]
[ROW][C]45[/C][C]217.5[/C][C]200.836971346811[/C][C]200.325[/C][C]1.00255570371552[/C][C]1.08296793434718[/C][/ROW]
[ROW][C]46[/C][C]205[/C][C]204.71796853076[/C][C]204.283333333333[/C][C]1.00212760967982[/C][C]1.00137765859667[/C][/ROW]
[ROW][C]47[/C][C]194[/C][C]199.044555344160[/C][C]209.766666666667[/C][C]0.948885533183666[/C][C]0.974656150049228[/C][/ROW]
[ROW][C]48[/C][C]199.3[/C][C]200.916316706566[/C][C]214.804166666667[/C][C]0.935346459169705[/C][C]0.991955274051104[/C][/ROW]
[ROW][C]49[/C][C]219.3[/C][C]219.844981700196[/C][C]219.179166666667[/C][C]1.00303776605987[/C][C]0.997521063724167[/C][/ROW]
[ROW][C]50[/C][C]211.1[/C][C]222.85257759205[/C][C]222.958333333333[/C][C]0.999525670381087[/C][C]0.94726299458127[/C][/ROW]
[ROW][C]51[/C][C]215.2[/C][C]227.186069081441[/C][C]224.4375[/C][C]1.01224647878114[/C][C]0.947241179312167[/C][/ROW]
[ROW][C]52[/C][C]240.2[/C][C]221.181863139613[/C][C]224.4125[/C][C]0.985604024462152[/C][C]1.08598416068311[/C][/ROW]
[ROW][C]53[/C][C]242.2[/C][C]221.922814256598[/C][C]224.841666666667[/C][C]0.98701818727222[/C][C]1.09137044251772[/C][/ROW]
[ROW][C]54[/C][C]240.7[/C][C]226.767852614343[/C][C]226.004166666667[/C][C]1.00337907906274[/C][C]1.06143792969346[/C][/ROW]
[ROW][C]55[/C][C]255.4[/C][C]233.910195134911[/C][C]225.4[/C][C]1.03775596776802[/C][C]1.09187203171155[/C][/ROW]
[ROW][C]56[/C][C]253[/C][C]242.240358141846[/C][C]223.775[/C][C]1.08251752046406[/C][C]1.04441721412851[/C][/ROW]
[ROW][C]57[/C][C]218.2[/C][C]223.954234948318[/C][C]223.383333333333[/C][C]1.00255570371552[/C][C]0.974306201668183[/C][/ROW]
[ROW][C]58[/C][C]203.7[/C][C]223.395121856168[/C][C]222.920833333333[/C][C]1.00212760967982[/C][C]0.911837278752897[/C][/ROW]
[ROW][C]59[/C][C]205.6[/C][C]210.652588366774[/C][C]222[/C][C]0.948885533183666[/C][C]0.976014591579683[/C][/ROW]
[ROW][C]60[/C][C]215.6[/C][C]207.183137983003[/C][C]221.504166666667[/C][C]0.935346459169705[/C][C]1.04062522702831[/C][/ROW]
[ROW][C]61[/C][C]188.5[/C][C]222.365114087422[/C][C]221.691666666667[/C][C]1.00303776605987[/C][C]0.8477049143864[/C][/ROW]
[ROW][C]62[/C][C]202.9[/C][C]221.544864839968[/C][C]221.65[/C][C]0.999525670381087[/C][C]0.915841584261337[/C][/ROW]
[ROW][C]63[/C][C]214[/C][C]226.342530349124[/C][C]223.604166666667[/C][C]1.01224647878114[/C][C]0.945469681150574[/C][/ROW]
[ROW][C]64[/C][C]230.3[/C][C]226.056496377265[/C][C]229.358333333333[/C][C]0.985604024462152[/C][C]1.01877187203527[/C][/ROW]
[ROW][C]65[/C][C]230[/C][C]234.733487812235[/C][C]237.820833333333[/C][C]0.98701818727222[/C][C]0.97983462923696[/C][/ROW]
[ROW][C]66[/C][C]241[/C][C]247.675764174313[/C][C]246.841666666667[/C][C]1.00337907906274[/C][C]0.973046356810211[/C][/ROW]
[ROW][C]67[/C][C]259.6[/C][C]266.154137850103[/C][C]256.470833333333[/C][C]1.03775596776802[/C][C]0.975374653563364[/C][/ROW]
[ROW][C]68[/C][C]247.8[/C][C]NA[/C][C]NA[/C][C]1.08251752046406[/C][C]NA[/C][/ROW]
[ROW][C]69[/C][C]270.3[/C][C]NA[/C][C]NA[/C][C]1.00255570371552[/C][C]NA[/C][/ROW]
[ROW][C]70[/C][C]289.7[/C][C]NA[/C][C]NA[/C][C]1.00212760967982[/C][C]NA[/C][/ROW]
[ROW][C]71[/C][C]322.7[/C][C]NA[/C][C]NA[/C][C]0.948885533183666[/C][C]NA[/C][/ROW]
[ROW][C]72[/C][C]315[/C][C]NA[/C][C]NA[/C][C]0.935346459169705[/C][C]NA[/C][/ROW]
[ROW][C]73[/C][C]320.2[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=13601&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=13601&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	68.4	NA	NA	1.00303776605987	NA
2	70.6	NA	NA	0.999525670381087	NA
3	83.9	NA	NA	1.01224647878114	NA
4	90.1	NA	NA	0.985604024462152	NA
5	90.6	NA	NA	0.98701818727222	NA
6	87.1	NA	NA	1.00337907906274	NA
7	90.8	92.952666829621	89.5708333333333	1.03775596776802	0.976841257996752
8	94.1	100.719234299844	93.0416666666667	1.08251752046406	0.934280335371314
9	99.8	96.0699003085396	95.825	1.00255570371552	1.03882693413318
10	96.8	96.930793046281	96.725	1.00212760967982	0.998650655357595
11	87	91.7849068869117	96.7291666666667	0.948885533183666	0.947868260161693
12	96.3	90.9117785543822	97.1958333333333	0.935346459169705	1.05926868367661
13	107.1	98.3436736381446	98.0458333333333	1.00303776605987	1.08903802388016
14	115.2	98.8489241103963	98.8958333333333	0.999525670381087	1.16541480887888
15	106.1	100.334714515519	99.1208333333333	1.01224647878114	1.05746052612319
16	89.5	97.6897855579403	99.1166666666666	0.985604024462152	0.916165385038307
17	91.3	98.6730306967598	99.9708333333333	0.98701818727222	0.925278157114496
18	97.6	101.332925493012	100.991666666667	1.00337907906274	0.963161771212566
19	100.7	105.332230728454	101.5	1.03775596776802	0.956022665651167
20	104.6	109.776297554393	101.408333333333	1.08251752046406	0.952846856109095
21	94.7	101.909787282682	101.65	1.00255570371552	0.92925323980234
22	101.8	103.557361865289	103.3375	1.00212760967982	0.983030063400273
23	102.5	100.795365762435	106.225	0.948885533183666	1.01691183145843
24	105.3	102.019017757022	109.070833333333	0.935346459169705	1.03216049629876
25	110.3	111.939014692281	111.6	1.00303776605987	0.985357967489827
26	109.8	114.662253153884	114.716666666667	0.999525670381087	0.95759499730606
27	117.3	120.065085464428	118.6125	1.01224647878114	0.976970112054376
28	118.8	121.574256417407	123.35	0.985604024462152	0.977180560266957
29	131.3	126.268414182579	127.929166666667	0.98701818727222	1.03984833301340
30	125.9	131.693504126985	131.25	1.00337907906274	0.956007669737463
31	133.1	139.396570370439	134.325	1.03775596776802	0.95482980425052
32	147	149.396438803378	138.008333333333	1.08251752046406	0.983959197270212
33	145.8	142.943556772672	142.579166666667	1.00255570371552	1.01998301491735
34	164.4	148.072705393608	147.758333333333	1.00212760967982	1.11026538998521
35	149.8	144.187110456980	151.954166666667	0.948885533183666	1.03892781764772
36	137.7	146.214137952791	156.320833333333	0.935346459169705	0.941769393356886
37	151.7	162.316586492638	161.825	1.00303776605987	0.934593335640906
38	156.8	167.478855452938	167.558333333333	0.999525670381087	0.936237589968852
39	180	175.637417149512	173.5125	1.01224647878114	1.02483857324533
40	180.4	175.626423792285	178.191666666667	0.985604024462152	1.02718028474668
41	170.4	179.365880082044	181.725	0.98701818727222	0.950013458089448
42	191.6	186.762292582879	186.133333333333	1.00337907906274	1.02590302009157
43	199.5	198.747563760371	191.516666666667	1.03775596776802	1.00378588912182
44	218.2	212.818434033566	196.595833333333	1.08251752046406	1.02528712322723
45	217.5	200.836971346811	200.325	1.00255570371552	1.08296793434718
46	205	204.71796853076	204.283333333333	1.00212760967982	1.00137765859667
47	194	199.044555344160	209.766666666667	0.948885533183666	0.974656150049228
48	199.3	200.916316706566	214.804166666667	0.935346459169705	0.991955274051104
49	219.3	219.844981700196	219.179166666667	1.00303776605987	0.997521063724167
50	211.1	222.85257759205	222.958333333333	0.999525670381087	0.94726299458127
51	215.2	227.186069081441	224.4375	1.01224647878114	0.947241179312167
52	240.2	221.181863139613	224.4125	0.985604024462152	1.08598416068311
53	242.2	221.922814256598	224.841666666667	0.98701818727222	1.09137044251772
54	240.7	226.767852614343	226.004166666667	1.00337907906274	1.06143792969346
55	255.4	233.910195134911	225.4	1.03775596776802	1.09187203171155
56	253	242.240358141846	223.775	1.08251752046406	1.04441721412851
57	218.2	223.954234948318	223.383333333333	1.00255570371552	0.974306201668183
58	203.7	223.395121856168	222.920833333333	1.00212760967982	0.911837278752897
59	205.6	210.652588366774	222	0.948885533183666	0.976014591579683
60	215.6	207.183137983003	221.504166666667	0.935346459169705	1.04062522702831
61	188.5	222.365114087422	221.691666666667	1.00303776605987	0.8477049143864
62	202.9	221.544864839968	221.65	0.999525670381087	0.915841584261337
63	214	226.342530349124	223.604166666667	1.01224647878114	0.945469681150574
64	230.3	226.056496377265	229.358333333333	0.985604024462152	1.01877187203527
65	230	234.733487812235	237.820833333333	0.98701818727222	0.97983462923696
66	241	247.675764174313	246.841666666667	1.00337907906274	0.973046356810211
67	259.6	266.154137850103	256.470833333333	1.03775596776802	0.975374653563364
68	247.8	NA	NA	1.08251752046406	NA
69	270.3	NA	NA	1.00255570371552	NA
70	289.7	NA	NA	1.00212760967982	NA
71	322.7	NA	NA	0.948885533183666	NA
72	315	NA	NA	0.935346459169705	NA
73	320.2	NA	NA	NA	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