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*Unverified author*

R Software Module

rwasp_decompose.wasp

Title produced by software

Classical Decomposition

Date of computation

Wed, 02 Jun 2010 12:03:42 +0000

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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/Jun/02/t1275480269u056xr091c2m0ty.htm/, Retrieved Wed, 24 Apr 2024 07:46:15 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=77274, Retrieved Wed, 24 Apr 2024 07:46:15 +0000

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IsPrivate?

No (this computation is public)

User-defined keywords

KDGP2W52

Estimated Impact

127

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

-       [Classical Decomposition] [] [2010-06-02 12:03:42] [d41d8cd98f00b204e9800998ecf8427e] [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	4 seconds
R Server	184.73.237.11 @ 184.73.237.11

\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 & 4 seconds \tabularnewline
R Server & 184.73.237.11 @ 184.73.237.11 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=77274&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]4 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]184.73.237.11 @ 184.73.237.11[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=77274&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=77274&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	4 seconds
R Server	184.73.237.11 @ 184.73.237.11

Classical Decomposition by Moving Averages
t	Observations	Fit	Trend	Seasonal	Random
1	8027.7	NA	NA	0.998620064834709	NA
2	8059.6	NA	NA	1.00018982747866	NA
3	8059.5	8028.39014401839	8024.2375	1.00051751260084	1.00387498059057
4	7988.9	8012.96085559406	8007.575	1.00067259508579	0.996997257814224
5	7950.2	7986.81348553828	7997.85	0.998620064834709	0.995415758036096
6	8003.8	8006.6320903223	8005.1125	1.00018982747866	0.999646281945973
7	8037.5	8045.21134469899	8041.05	1.00051751260084	0.999041498803624
8	8069	8102.48352763193	8097.0375	1.00067259508579	0.995867498216104
9	8157.6	8152.32227853382	8163.5875	0.998620064834709	1.0006473887177
10	8244.3	8245.13985705743	8243.575	1.00018982747866	0.99989813913748
11	8329.4	8325.74394876336	8321.4375	1.00051751260084	1.00043912607199
12	8417	8391.7029244266	8386.0625	1.00067259508579	1.00301453421328
13	8432.5	8429.88872555463	8441.5375	0.998620064834709	1.00030976380951
14	8486.4	8496.712603414	8495.1	1.00018982747866	0.998786283131448
15	8531.1	8564.80510193042	8560.375	1.00051751260084	0.996064697149638
16	8643.8	8648.22534417683	8642.4125	1.00067259508579	0.999488294534345
17	8727.9	8722.1224047777	8734.175	0.998620064834709	1.00066240703285
18	8847.3	8827.42536986982	8825.75	1.00018982747866	1.0022514639657
19	8904.3	8912.4599246214	8907.85	1.00051751260084	0.999084436318321
20	9003.2	8975.73297614097	8969.7	1.00067259508579	1.00306014271281
21	9025.3	9008.97601840146	9021.425	0.998620064834709	1.00181196859279
22	9044.7	9072.83444641456	9071.1125	1.00018982747866	0.996899045542964
23	9120.7	9126.20798471966	9121.4875	1.00051751260084	0.999396465133286
24	9184.3	9200.70919233114	9194.525	1.00067259508579	0.998216529618737
25	9247.2	9273.03612904538	9285.85	0.998620064834709	0.997213843590617
26	9407.1	9384.68113224956	9382.9	1.00018982747866	1.00238887900766
27	9488.9	9491.20927978535	9486.3	1.00051751260084	0.999756692775675
28	9592.5	9595.43700587016	9588.9875	1.00067259508579	0.999693916403352
29	9666.2	9681.39683905792	9694.775	0.998620064834709	0.998430305119133
30	9809.6	9804.16074589411	9802.3	1.00018982747866	1.00055479038409
31	9932.7	9914.12803236173	9909	1.00051751260084	1.00187328301366
32	10008.9	10018.4713454427	10011.7375	1.00067259508579	0.99904463015238
33	10103.4	10095.387269686	10109.3375	0.998620064834709	1.00079370212355
34	10194.3	10223.1277622521	10221.1875	1.00018982747866	0.997180142621466
35	10328.8	10351.1040559901	10345.75	1.00051751260084	0.99784524859672
36	10507.6	10476.2290240647	10469.1875	1.00067259508579	1.00299449122993
37	10601.2	10577.1715199655	10591.7875	0.998620064834709	1.00227173020587
38	10684	10718.546788548	10716.5125	1.00018982747866	0.996776914890658
39	10819.9	10840.6822878436	10835.075	1.00051751260084	0.99808293543785
40	11014.3	10969.4855629973	10962.1125	1.00067259508579	1.00408537271372
41	11043	11074.6216225121	11089.925	0.998620064834709	0.997144676938869
42	11258.5	11188.073400685	11185.95	1.00018982747866	1.00629479239122
43	11267.9	11263.5760274821	11257.75	1.00051751260084	1.00038388985055
44	11334.5	11311.2277626266	11303.625	1.00067259508579	1.00205744573992
45	11297.2	11311.1198193665	11326.75	0.998620064834709	0.998769368586945
46	11371.3	11343.6279236036	11341.475	1.00018982747866	1.00243943794549
47	11340.1	11375.6464953623	11369.7625	1.00051751260084	0.996875210971367
48	11380.1	11420.9640210852	11413.2875	1.00067259508579	0.996422016476917
49	11477.9	11450.4398011618	11466.2625	0.998620064834709	1.00239817852546
50	11538.8	11527.8253827066	11525.6375	1.00018982747866	1.00095201106271
51	11596.4	11579.9521714354	11573.9625	1.00051751260084	1.00142037102754
52	11598.8	11627.7530128596	11619.9375	1.00067259508579	0.99751000792435
53	11645.8	11671.1847664935	11687.3125	0.998620064834709	0.997825005172878
54	11738.7	11787.4371548016	11785.2	1.00018982747866	0.995865330676932
55	11935.5	11907.0838786492	11900.925	1.00051751260084	1.00238648871885
56	12042.8	12028.622454451	12020.5375	1.00067259508579	1.00117865080583
57	12127.6	12109.1920096808	12125.925	0.998620064834709	1.00152016668862
58	12213.8	12220.181786033	12217.8625	1.00018982747866	0.999477766685898
59	12303.5	12320.9854671432	12314.6125	1.00051751260084	0.998580838587153
60	12410.3	12420.4858426866	12412.1375	1.00067259508579	0.999179915921518
61	12534.1	12489.0545995931	12506.3125	0.998620064834709	1.00360679025363
62	12587.5	12598.4660811583	12596.075	1.00018982747866	0.99912957013277
63	12683.2	12692.6652166055	12686.1	1.00051751260084	0.999254276667351
64	12748.7	12789.2962360129	12780.7	1.00067259508579	0.996825764665722
65	12915.9	12845.1625147132	12862.9125	0.998620064834709	1.00550693579827
66	12962.5	12939.7058455484	12937.25	1.00018982747866	1.00176156666339
67	12965.9	13005.9772756765	12999.25	1.00051751260084	0.99691854946176
68	13060.7	13061.21650532	13052.4375	1.00067259508579	0.999960455037261
69	13099.9	13108.9105565868	13127.025	0.998620064834709	0.999312638792679
70	13204	13215.2456406459	13212.7375	1.00018982747866	0.999149040362043
71	13321.1	13294.3014098702	13287.425	1.00051751260084	1.00201579528729
72	13391.2	13356.1897695364	13347.2125	1.00067259508579	1.00262127381144
73	13366.9	13355.6071608535	13374.0625	0.998620064834709	1.00084555041269
74	13415.3	13345.8704321146	13343.3375	1.00018982747866	1.00520232593584
75	13324.6	13263.8481580804	13256.9875	1.00051751260084	1.00458025764435
76	13141.9	13146.4112683841	13137.575	1.00067259508579	0.999656844115702
77	12925.4	13011.4202727574	13029.4	0.998620064834709	0.993388863709409
78	12901.5	12989.5528060753	12987.0875	1.00018982747866	0.9932212596238
79	12973	NA	NA	1.00051751260084	NA
80	13155	NA	NA	1.00067259508579	NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 8027.7 & NA & NA & 0.998620064834709 & NA \tabularnewline
2 & 8059.6 & NA & NA & 1.00018982747866 & NA \tabularnewline
3 & 8059.5 & 8028.39014401839 & 8024.2375 & 1.00051751260084 & 1.00387498059057 \tabularnewline
4 & 7988.9 & 8012.96085559406 & 8007.575 & 1.00067259508579 & 0.996997257814224 \tabularnewline
5 & 7950.2 & 7986.81348553828 & 7997.85 & 0.998620064834709 & 0.995415758036096 \tabularnewline
6 & 8003.8 & 8006.6320903223 & 8005.1125 & 1.00018982747866 & 0.999646281945973 \tabularnewline
7 & 8037.5 & 8045.21134469899 & 8041.05 & 1.00051751260084 & 0.999041498803624 \tabularnewline
8 & 8069 & 8102.48352763193 & 8097.0375 & 1.00067259508579 & 0.995867498216104 \tabularnewline
9 & 8157.6 & 8152.32227853382 & 8163.5875 & 0.998620064834709 & 1.0006473887177 \tabularnewline
10 & 8244.3 & 8245.13985705743 & 8243.575 & 1.00018982747866 & 0.99989813913748 \tabularnewline
11 & 8329.4 & 8325.74394876336 & 8321.4375 & 1.00051751260084 & 1.00043912607199 \tabularnewline
12 & 8417 & 8391.7029244266 & 8386.0625 & 1.00067259508579 & 1.00301453421328 \tabularnewline
13 & 8432.5 & 8429.88872555463 & 8441.5375 & 0.998620064834709 & 1.00030976380951 \tabularnewline
14 & 8486.4 & 8496.712603414 & 8495.1 & 1.00018982747866 & 0.998786283131448 \tabularnewline
15 & 8531.1 & 8564.80510193042 & 8560.375 & 1.00051751260084 & 0.996064697149638 \tabularnewline
16 & 8643.8 & 8648.22534417683 & 8642.4125 & 1.00067259508579 & 0.999488294534345 \tabularnewline
17 & 8727.9 & 8722.1224047777 & 8734.175 & 0.998620064834709 & 1.00066240703285 \tabularnewline
18 & 8847.3 & 8827.42536986982 & 8825.75 & 1.00018982747866 & 1.0022514639657 \tabularnewline
19 & 8904.3 & 8912.4599246214 & 8907.85 & 1.00051751260084 & 0.999084436318321 \tabularnewline
20 & 9003.2 & 8975.73297614097 & 8969.7 & 1.00067259508579 & 1.00306014271281 \tabularnewline
21 & 9025.3 & 9008.97601840146 & 9021.425 & 0.998620064834709 & 1.00181196859279 \tabularnewline
22 & 9044.7 & 9072.83444641456 & 9071.1125 & 1.00018982747866 & 0.996899045542964 \tabularnewline
23 & 9120.7 & 9126.20798471966 & 9121.4875 & 1.00051751260084 & 0.999396465133286 \tabularnewline
24 & 9184.3 & 9200.70919233114 & 9194.525 & 1.00067259508579 & 0.998216529618737 \tabularnewline
25 & 9247.2 & 9273.03612904538 & 9285.85 & 0.998620064834709 & 0.997213843590617 \tabularnewline
26 & 9407.1 & 9384.68113224956 & 9382.9 & 1.00018982747866 & 1.00238887900766 \tabularnewline
27 & 9488.9 & 9491.20927978535 & 9486.3 & 1.00051751260084 & 0.999756692775675 \tabularnewline
28 & 9592.5 & 9595.43700587016 & 9588.9875 & 1.00067259508579 & 0.999693916403352 \tabularnewline
29 & 9666.2 & 9681.39683905792 & 9694.775 & 0.998620064834709 & 0.998430305119133 \tabularnewline
30 & 9809.6 & 9804.16074589411 & 9802.3 & 1.00018982747866 & 1.00055479038409 \tabularnewline
31 & 9932.7 & 9914.12803236173 & 9909 & 1.00051751260084 & 1.00187328301366 \tabularnewline
32 & 10008.9 & 10018.4713454427 & 10011.7375 & 1.00067259508579 & 0.99904463015238 \tabularnewline
33 & 10103.4 & 10095.387269686 & 10109.3375 & 0.998620064834709 & 1.00079370212355 \tabularnewline
34 & 10194.3 & 10223.1277622521 & 10221.1875 & 1.00018982747866 & 0.997180142621466 \tabularnewline
35 & 10328.8 & 10351.1040559901 & 10345.75 & 1.00051751260084 & 0.99784524859672 \tabularnewline
36 & 10507.6 & 10476.2290240647 & 10469.1875 & 1.00067259508579 & 1.00299449122993 \tabularnewline
37 & 10601.2 & 10577.1715199655 & 10591.7875 & 0.998620064834709 & 1.00227173020587 \tabularnewline
38 & 10684 & 10718.546788548 & 10716.5125 & 1.00018982747866 & 0.996776914890658 \tabularnewline
39 & 10819.9 & 10840.6822878436 & 10835.075 & 1.00051751260084 & 0.99808293543785 \tabularnewline
40 & 11014.3 & 10969.4855629973 & 10962.1125 & 1.00067259508579 & 1.00408537271372 \tabularnewline
41 & 11043 & 11074.6216225121 & 11089.925 & 0.998620064834709 & 0.997144676938869 \tabularnewline
42 & 11258.5 & 11188.073400685 & 11185.95 & 1.00018982747866 & 1.00629479239122 \tabularnewline
43 & 11267.9 & 11263.5760274821 & 11257.75 & 1.00051751260084 & 1.00038388985055 \tabularnewline
44 & 11334.5 & 11311.2277626266 & 11303.625 & 1.00067259508579 & 1.00205744573992 \tabularnewline
45 & 11297.2 & 11311.1198193665 & 11326.75 & 0.998620064834709 & 0.998769368586945 \tabularnewline
46 & 11371.3 & 11343.6279236036 & 11341.475 & 1.00018982747866 & 1.00243943794549 \tabularnewline
47 & 11340.1 & 11375.6464953623 & 11369.7625 & 1.00051751260084 & 0.996875210971367 \tabularnewline
48 & 11380.1 & 11420.9640210852 & 11413.2875 & 1.00067259508579 & 0.996422016476917 \tabularnewline
49 & 11477.9 & 11450.4398011618 & 11466.2625 & 0.998620064834709 & 1.00239817852546 \tabularnewline
50 & 11538.8 & 11527.8253827066 & 11525.6375 & 1.00018982747866 & 1.00095201106271 \tabularnewline
51 & 11596.4 & 11579.9521714354 & 11573.9625 & 1.00051751260084 & 1.00142037102754 \tabularnewline
52 & 11598.8 & 11627.7530128596 & 11619.9375 & 1.00067259508579 & 0.99751000792435 \tabularnewline
53 & 11645.8 & 11671.1847664935 & 11687.3125 & 0.998620064834709 & 0.997825005172878 \tabularnewline
54 & 11738.7 & 11787.4371548016 & 11785.2 & 1.00018982747866 & 0.995865330676932 \tabularnewline
55 & 11935.5 & 11907.0838786492 & 11900.925 & 1.00051751260084 & 1.00238648871885 \tabularnewline
56 & 12042.8 & 12028.622454451 & 12020.5375 & 1.00067259508579 & 1.00117865080583 \tabularnewline
57 & 12127.6 & 12109.1920096808 & 12125.925 & 0.998620064834709 & 1.00152016668862 \tabularnewline
58 & 12213.8 & 12220.181786033 & 12217.8625 & 1.00018982747866 & 0.999477766685898 \tabularnewline
59 & 12303.5 & 12320.9854671432 & 12314.6125 & 1.00051751260084 & 0.998580838587153 \tabularnewline
60 & 12410.3 & 12420.4858426866 & 12412.1375 & 1.00067259508579 & 0.999179915921518 \tabularnewline
61 & 12534.1 & 12489.0545995931 & 12506.3125 & 0.998620064834709 & 1.00360679025363 \tabularnewline
62 & 12587.5 & 12598.4660811583 & 12596.075 & 1.00018982747866 & 0.99912957013277 \tabularnewline
63 & 12683.2 & 12692.6652166055 & 12686.1 & 1.00051751260084 & 0.999254276667351 \tabularnewline
64 & 12748.7 & 12789.2962360129 & 12780.7 & 1.00067259508579 & 0.996825764665722 \tabularnewline
65 & 12915.9 & 12845.1625147132 & 12862.9125 & 0.998620064834709 & 1.00550693579827 \tabularnewline
66 & 12962.5 & 12939.7058455484 & 12937.25 & 1.00018982747866 & 1.00176156666339 \tabularnewline
67 & 12965.9 & 13005.9772756765 & 12999.25 & 1.00051751260084 & 0.99691854946176 \tabularnewline
68 & 13060.7 & 13061.21650532 & 13052.4375 & 1.00067259508579 & 0.999960455037261 \tabularnewline
69 & 13099.9 & 13108.9105565868 & 13127.025 & 0.998620064834709 & 0.999312638792679 \tabularnewline
70 & 13204 & 13215.2456406459 & 13212.7375 & 1.00018982747866 & 0.999149040362043 \tabularnewline
71 & 13321.1 & 13294.3014098702 & 13287.425 & 1.00051751260084 & 1.00201579528729 \tabularnewline
72 & 13391.2 & 13356.1897695364 & 13347.2125 & 1.00067259508579 & 1.00262127381144 \tabularnewline
73 & 13366.9 & 13355.6071608535 & 13374.0625 & 0.998620064834709 & 1.00084555041269 \tabularnewline
74 & 13415.3 & 13345.8704321146 & 13343.3375 & 1.00018982747866 & 1.00520232593584 \tabularnewline
75 & 13324.6 & 13263.8481580804 & 13256.9875 & 1.00051751260084 & 1.00458025764435 \tabularnewline
76 & 13141.9 & 13146.4112683841 & 13137.575 & 1.00067259508579 & 0.999656844115702 \tabularnewline
77 & 12925.4 & 13011.4202727574 & 13029.4 & 0.998620064834709 & 0.993388863709409 \tabularnewline
78 & 12901.5 & 12989.5528060753 & 12987.0875 & 1.00018982747866 & 0.9932212596238 \tabularnewline
79 & 12973 & NA & NA & 1.00051751260084 & NA \tabularnewline
80 & 13155 & NA & NA & 1.00067259508579 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=77274&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]8027.7[/C][C]NA[/C][C]NA[/C][C]0.998620064834709[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]8059.6[/C][C]NA[/C][C]NA[/C][C]1.00018982747866[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]8059.5[/C][C]8028.39014401839[/C][C]8024.2375[/C][C]1.00051751260084[/C][C]1.00387498059057[/C][/ROW]
[ROW][C]4[/C][C]7988.9[/C][C]8012.96085559406[/C][C]8007.575[/C][C]1.00067259508579[/C][C]0.996997257814224[/C][/ROW]
[ROW][C]5[/C][C]7950.2[/C][C]7986.81348553828[/C][C]7997.85[/C][C]0.998620064834709[/C][C]0.995415758036096[/C][/ROW]
[ROW][C]6[/C][C]8003.8[/C][C]8006.6320903223[/C][C]8005.1125[/C][C]1.00018982747866[/C][C]0.999646281945973[/C][/ROW]
[ROW][C]7[/C][C]8037.5[/C][C]8045.21134469899[/C][C]8041.05[/C][C]1.00051751260084[/C][C]0.999041498803624[/C][/ROW]
[ROW][C]8[/C][C]8069[/C][C]8102.48352763193[/C][C]8097.0375[/C][C]1.00067259508579[/C][C]0.995867498216104[/C][/ROW]
[ROW][C]9[/C][C]8157.6[/C][C]8152.32227853382[/C][C]8163.5875[/C][C]0.998620064834709[/C][C]1.0006473887177[/C][/ROW]
[ROW][C]10[/C][C]8244.3[/C][C]8245.13985705743[/C][C]8243.575[/C][C]1.00018982747866[/C][C]0.99989813913748[/C][/ROW]
[ROW][C]11[/C][C]8329.4[/C][C]8325.74394876336[/C][C]8321.4375[/C][C]1.00051751260084[/C][C]1.00043912607199[/C][/ROW]
[ROW][C]12[/C][C]8417[/C][C]8391.7029244266[/C][C]8386.0625[/C][C]1.00067259508579[/C][C]1.00301453421328[/C][/ROW]
[ROW][C]13[/C][C]8432.5[/C][C]8429.88872555463[/C][C]8441.5375[/C][C]0.998620064834709[/C][C]1.00030976380951[/C][/ROW]
[ROW][C]14[/C][C]8486.4[/C][C]8496.712603414[/C][C]8495.1[/C][C]1.00018982747866[/C][C]0.998786283131448[/C][/ROW]
[ROW][C]15[/C][C]8531.1[/C][C]8564.80510193042[/C][C]8560.375[/C][C]1.00051751260084[/C][C]0.996064697149638[/C][/ROW]
[ROW][C]16[/C][C]8643.8[/C][C]8648.22534417683[/C][C]8642.4125[/C][C]1.00067259508579[/C][C]0.999488294534345[/C][/ROW]
[ROW][C]17[/C][C]8727.9[/C][C]8722.1224047777[/C][C]8734.175[/C][C]0.998620064834709[/C][C]1.00066240703285[/C][/ROW]
[ROW][C]18[/C][C]8847.3[/C][C]8827.42536986982[/C][C]8825.75[/C][C]1.00018982747866[/C][C]1.0022514639657[/C][/ROW]
[ROW][C]19[/C][C]8904.3[/C][C]8912.4599246214[/C][C]8907.85[/C][C]1.00051751260084[/C][C]0.999084436318321[/C][/ROW]
[ROW][C]20[/C][C]9003.2[/C][C]8975.73297614097[/C][C]8969.7[/C][C]1.00067259508579[/C][C]1.00306014271281[/C][/ROW]
[ROW][C]21[/C][C]9025.3[/C][C]9008.97601840146[/C][C]9021.425[/C][C]0.998620064834709[/C][C]1.00181196859279[/C][/ROW]
[ROW][C]22[/C][C]9044.7[/C][C]9072.83444641456[/C][C]9071.1125[/C][C]1.00018982747866[/C][C]0.996899045542964[/C][/ROW]
[ROW][C]23[/C][C]9120.7[/C][C]9126.20798471966[/C][C]9121.4875[/C][C]1.00051751260084[/C][C]0.999396465133286[/C][/ROW]
[ROW][C]24[/C][C]9184.3[/C][C]9200.70919233114[/C][C]9194.525[/C][C]1.00067259508579[/C][C]0.998216529618737[/C][/ROW]
[ROW][C]25[/C][C]9247.2[/C][C]9273.03612904538[/C][C]9285.85[/C][C]0.998620064834709[/C][C]0.997213843590617[/C][/ROW]
[ROW][C]26[/C][C]9407.1[/C][C]9384.68113224956[/C][C]9382.9[/C][C]1.00018982747866[/C][C]1.00238887900766[/C][/ROW]
[ROW][C]27[/C][C]9488.9[/C][C]9491.20927978535[/C][C]9486.3[/C][C]1.00051751260084[/C][C]0.999756692775675[/C][/ROW]
[ROW][C]28[/C][C]9592.5[/C][C]9595.43700587016[/C][C]9588.9875[/C][C]1.00067259508579[/C][C]0.999693916403352[/C][/ROW]
[ROW][C]29[/C][C]9666.2[/C][C]9681.39683905792[/C][C]9694.775[/C][C]0.998620064834709[/C][C]0.998430305119133[/C][/ROW]
[ROW][C]30[/C][C]9809.6[/C][C]9804.16074589411[/C][C]9802.3[/C][C]1.00018982747866[/C][C]1.00055479038409[/C][/ROW]
[ROW][C]31[/C][C]9932.7[/C][C]9914.12803236173[/C][C]9909[/C][C]1.00051751260084[/C][C]1.00187328301366[/C][/ROW]
[ROW][C]32[/C][C]10008.9[/C][C]10018.4713454427[/C][C]10011.7375[/C][C]1.00067259508579[/C][C]0.99904463015238[/C][/ROW]
[ROW][C]33[/C][C]10103.4[/C][C]10095.387269686[/C][C]10109.3375[/C][C]0.998620064834709[/C][C]1.00079370212355[/C][/ROW]
[ROW][C]34[/C][C]10194.3[/C][C]10223.1277622521[/C][C]10221.1875[/C][C]1.00018982747866[/C][C]0.997180142621466[/C][/ROW]
[ROW][C]35[/C][C]10328.8[/C][C]10351.1040559901[/C][C]10345.75[/C][C]1.00051751260084[/C][C]0.99784524859672[/C][/ROW]
[ROW][C]36[/C][C]10507.6[/C][C]10476.2290240647[/C][C]10469.1875[/C][C]1.00067259508579[/C][C]1.00299449122993[/C][/ROW]
[ROW][C]37[/C][C]10601.2[/C][C]10577.1715199655[/C][C]10591.7875[/C][C]0.998620064834709[/C][C]1.00227173020587[/C][/ROW]
[ROW][C]38[/C][C]10684[/C][C]10718.546788548[/C][C]10716.5125[/C][C]1.00018982747866[/C][C]0.996776914890658[/C][/ROW]
[ROW][C]39[/C][C]10819.9[/C][C]10840.6822878436[/C][C]10835.075[/C][C]1.00051751260084[/C][C]0.99808293543785[/C][/ROW]
[ROW][C]40[/C][C]11014.3[/C][C]10969.4855629973[/C][C]10962.1125[/C][C]1.00067259508579[/C][C]1.00408537271372[/C][/ROW]
[ROW][C]41[/C][C]11043[/C][C]11074.6216225121[/C][C]11089.925[/C][C]0.998620064834709[/C][C]0.997144676938869[/C][/ROW]
[ROW][C]42[/C][C]11258.5[/C][C]11188.073400685[/C][C]11185.95[/C][C]1.00018982747866[/C][C]1.00629479239122[/C][/ROW]
[ROW][C]43[/C][C]11267.9[/C][C]11263.5760274821[/C][C]11257.75[/C][C]1.00051751260084[/C][C]1.00038388985055[/C][/ROW]
[ROW][C]44[/C][C]11334.5[/C][C]11311.2277626266[/C][C]11303.625[/C][C]1.00067259508579[/C][C]1.00205744573992[/C][/ROW]
[ROW][C]45[/C][C]11297.2[/C][C]11311.1198193665[/C][C]11326.75[/C][C]0.998620064834709[/C][C]0.998769368586945[/C][/ROW]
[ROW][C]46[/C][C]11371.3[/C][C]11343.6279236036[/C][C]11341.475[/C][C]1.00018982747866[/C][C]1.00243943794549[/C][/ROW]
[ROW][C]47[/C][C]11340.1[/C][C]11375.6464953623[/C][C]11369.7625[/C][C]1.00051751260084[/C][C]0.996875210971367[/C][/ROW]
[ROW][C]48[/C][C]11380.1[/C][C]11420.9640210852[/C][C]11413.2875[/C][C]1.00067259508579[/C][C]0.996422016476917[/C][/ROW]
[ROW][C]49[/C][C]11477.9[/C][C]11450.4398011618[/C][C]11466.2625[/C][C]0.998620064834709[/C][C]1.00239817852546[/C][/ROW]
[ROW][C]50[/C][C]11538.8[/C][C]11527.8253827066[/C][C]11525.6375[/C][C]1.00018982747866[/C][C]1.00095201106271[/C][/ROW]
[ROW][C]51[/C][C]11596.4[/C][C]11579.9521714354[/C][C]11573.9625[/C][C]1.00051751260084[/C][C]1.00142037102754[/C][/ROW]
[ROW][C]52[/C][C]11598.8[/C][C]11627.7530128596[/C][C]11619.9375[/C][C]1.00067259508579[/C][C]0.99751000792435[/C][/ROW]
[ROW][C]53[/C][C]11645.8[/C][C]11671.1847664935[/C][C]11687.3125[/C][C]0.998620064834709[/C][C]0.997825005172878[/C][/ROW]
[ROW][C]54[/C][C]11738.7[/C][C]11787.4371548016[/C][C]11785.2[/C][C]1.00018982747866[/C][C]0.995865330676932[/C][/ROW]
[ROW][C]55[/C][C]11935.5[/C][C]11907.0838786492[/C][C]11900.925[/C][C]1.00051751260084[/C][C]1.00238648871885[/C][/ROW]
[ROW][C]56[/C][C]12042.8[/C][C]12028.622454451[/C][C]12020.5375[/C][C]1.00067259508579[/C][C]1.00117865080583[/C][/ROW]
[ROW][C]57[/C][C]12127.6[/C][C]12109.1920096808[/C][C]12125.925[/C][C]0.998620064834709[/C][C]1.00152016668862[/C][/ROW]
[ROW][C]58[/C][C]12213.8[/C][C]12220.181786033[/C][C]12217.8625[/C][C]1.00018982747866[/C][C]0.999477766685898[/C][/ROW]
[ROW][C]59[/C][C]12303.5[/C][C]12320.9854671432[/C][C]12314.6125[/C][C]1.00051751260084[/C][C]0.998580838587153[/C][/ROW]
[ROW][C]60[/C][C]12410.3[/C][C]12420.4858426866[/C][C]12412.1375[/C][C]1.00067259508579[/C][C]0.999179915921518[/C][/ROW]
[ROW][C]61[/C][C]12534.1[/C][C]12489.0545995931[/C][C]12506.3125[/C][C]0.998620064834709[/C][C]1.00360679025363[/C][/ROW]
[ROW][C]62[/C][C]12587.5[/C][C]12598.4660811583[/C][C]12596.075[/C][C]1.00018982747866[/C][C]0.99912957013277[/C][/ROW]
[ROW][C]63[/C][C]12683.2[/C][C]12692.6652166055[/C][C]12686.1[/C][C]1.00051751260084[/C][C]0.999254276667351[/C][/ROW]
[ROW][C]64[/C][C]12748.7[/C][C]12789.2962360129[/C][C]12780.7[/C][C]1.00067259508579[/C][C]0.996825764665722[/C][/ROW]
[ROW][C]65[/C][C]12915.9[/C][C]12845.1625147132[/C][C]12862.9125[/C][C]0.998620064834709[/C][C]1.00550693579827[/C][/ROW]
[ROW][C]66[/C][C]12962.5[/C][C]12939.7058455484[/C][C]12937.25[/C][C]1.00018982747866[/C][C]1.00176156666339[/C][/ROW]
[ROW][C]67[/C][C]12965.9[/C][C]13005.9772756765[/C][C]12999.25[/C][C]1.00051751260084[/C][C]0.99691854946176[/C][/ROW]
[ROW][C]68[/C][C]13060.7[/C][C]13061.21650532[/C][C]13052.4375[/C][C]1.00067259508579[/C][C]0.999960455037261[/C][/ROW]
[ROW][C]69[/C][C]13099.9[/C][C]13108.9105565868[/C][C]13127.025[/C][C]0.998620064834709[/C][C]0.999312638792679[/C][/ROW]
[ROW][C]70[/C][C]13204[/C][C]13215.2456406459[/C][C]13212.7375[/C][C]1.00018982747866[/C][C]0.999149040362043[/C][/ROW]
[ROW][C]71[/C][C]13321.1[/C][C]13294.3014098702[/C][C]13287.425[/C][C]1.00051751260084[/C][C]1.00201579528729[/C][/ROW]
[ROW][C]72[/C][C]13391.2[/C][C]13356.1897695364[/C][C]13347.2125[/C][C]1.00067259508579[/C][C]1.00262127381144[/C][/ROW]
[ROW][C]73[/C][C]13366.9[/C][C]13355.6071608535[/C][C]13374.0625[/C][C]0.998620064834709[/C][C]1.00084555041269[/C][/ROW]
[ROW][C]74[/C][C]13415.3[/C][C]13345.8704321146[/C][C]13343.3375[/C][C]1.00018982747866[/C][C]1.00520232593584[/C][/ROW]
[ROW][C]75[/C][C]13324.6[/C][C]13263.8481580804[/C][C]13256.9875[/C][C]1.00051751260084[/C][C]1.00458025764435[/C][/ROW]
[ROW][C]76[/C][C]13141.9[/C][C]13146.4112683841[/C][C]13137.575[/C][C]1.00067259508579[/C][C]0.999656844115702[/C][/ROW]
[ROW][C]77[/C][C]12925.4[/C][C]13011.4202727574[/C][C]13029.4[/C][C]0.998620064834709[/C][C]0.993388863709409[/C][/ROW]
[ROW][C]78[/C][C]12901.5[/C][C]12989.5528060753[/C][C]12987.0875[/C][C]1.00018982747866[/C][C]0.9932212596238[/C][/ROW]
[ROW][C]79[/C][C]12973[/C][C]NA[/C][C]NA[/C][C]1.00051751260084[/C][C]NA[/C][/ROW]
[ROW][C]80[/C][C]13155[/C][C]NA[/C][C]NA[/C][C]1.00067259508579[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=77274&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=77274&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	8027.7	NA	NA	0.998620064834709	NA
2	8059.6	NA	NA	1.00018982747866	NA
3	8059.5	8028.39014401839	8024.2375	1.00051751260084	1.00387498059057
4	7988.9	8012.96085559406	8007.575	1.00067259508579	0.996997257814224
5	7950.2	7986.81348553828	7997.85	0.998620064834709	0.995415758036096
6	8003.8	8006.6320903223	8005.1125	1.00018982747866	0.999646281945973
7	8037.5	8045.21134469899	8041.05	1.00051751260084	0.999041498803624
8	8069	8102.48352763193	8097.0375	1.00067259508579	0.995867498216104
9	8157.6	8152.32227853382	8163.5875	0.998620064834709	1.0006473887177
10	8244.3	8245.13985705743	8243.575	1.00018982747866	0.99989813913748
11	8329.4	8325.74394876336	8321.4375	1.00051751260084	1.00043912607199
12	8417	8391.7029244266	8386.0625	1.00067259508579	1.00301453421328
13	8432.5	8429.88872555463	8441.5375	0.998620064834709	1.00030976380951
14	8486.4	8496.712603414	8495.1	1.00018982747866	0.998786283131448
15	8531.1	8564.80510193042	8560.375	1.00051751260084	0.996064697149638
16	8643.8	8648.22534417683	8642.4125	1.00067259508579	0.999488294534345
17	8727.9	8722.1224047777	8734.175	0.998620064834709	1.00066240703285
18	8847.3	8827.42536986982	8825.75	1.00018982747866	1.0022514639657
19	8904.3	8912.4599246214	8907.85	1.00051751260084	0.999084436318321
20	9003.2	8975.73297614097	8969.7	1.00067259508579	1.00306014271281
21	9025.3	9008.97601840146	9021.425	0.998620064834709	1.00181196859279
22	9044.7	9072.83444641456	9071.1125	1.00018982747866	0.996899045542964
23	9120.7	9126.20798471966	9121.4875	1.00051751260084	0.999396465133286
24	9184.3	9200.70919233114	9194.525	1.00067259508579	0.998216529618737
25	9247.2	9273.03612904538	9285.85	0.998620064834709	0.997213843590617
26	9407.1	9384.68113224956	9382.9	1.00018982747866	1.00238887900766
27	9488.9	9491.20927978535	9486.3	1.00051751260084	0.999756692775675
28	9592.5	9595.43700587016	9588.9875	1.00067259508579	0.999693916403352
29	9666.2	9681.39683905792	9694.775	0.998620064834709	0.998430305119133
30	9809.6	9804.16074589411	9802.3	1.00018982747866	1.00055479038409
31	9932.7	9914.12803236173	9909	1.00051751260084	1.00187328301366
32	10008.9	10018.4713454427	10011.7375	1.00067259508579	0.99904463015238
33	10103.4	10095.387269686	10109.3375	0.998620064834709	1.00079370212355
34	10194.3	10223.1277622521	10221.1875	1.00018982747866	0.997180142621466
35	10328.8	10351.1040559901	10345.75	1.00051751260084	0.99784524859672
36	10507.6	10476.2290240647	10469.1875	1.00067259508579	1.00299449122993
37	10601.2	10577.1715199655	10591.7875	0.998620064834709	1.00227173020587
38	10684	10718.546788548	10716.5125	1.00018982747866	0.996776914890658
39	10819.9	10840.6822878436	10835.075	1.00051751260084	0.99808293543785
40	11014.3	10969.4855629973	10962.1125	1.00067259508579	1.00408537271372
41	11043	11074.6216225121	11089.925	0.998620064834709	0.997144676938869
42	11258.5	11188.073400685	11185.95	1.00018982747866	1.00629479239122
43	11267.9	11263.5760274821	11257.75	1.00051751260084	1.00038388985055
44	11334.5	11311.2277626266	11303.625	1.00067259508579	1.00205744573992
45	11297.2	11311.1198193665	11326.75	0.998620064834709	0.998769368586945
46	11371.3	11343.6279236036	11341.475	1.00018982747866	1.00243943794549
47	11340.1	11375.6464953623	11369.7625	1.00051751260084	0.996875210971367
48	11380.1	11420.9640210852	11413.2875	1.00067259508579	0.996422016476917
49	11477.9	11450.4398011618	11466.2625	0.998620064834709	1.00239817852546
50	11538.8	11527.8253827066	11525.6375	1.00018982747866	1.00095201106271
51	11596.4	11579.9521714354	11573.9625	1.00051751260084	1.00142037102754
52	11598.8	11627.7530128596	11619.9375	1.00067259508579	0.99751000792435
53	11645.8	11671.1847664935	11687.3125	0.998620064834709	0.997825005172878
54	11738.7	11787.4371548016	11785.2	1.00018982747866	0.995865330676932
55	11935.5	11907.0838786492	11900.925	1.00051751260084	1.00238648871885
56	12042.8	12028.622454451	12020.5375	1.00067259508579	1.00117865080583
57	12127.6	12109.1920096808	12125.925	0.998620064834709	1.00152016668862
58	12213.8	12220.181786033	12217.8625	1.00018982747866	0.999477766685898
59	12303.5	12320.9854671432	12314.6125	1.00051751260084	0.998580838587153
60	12410.3	12420.4858426866	12412.1375	1.00067259508579	0.999179915921518
61	12534.1	12489.0545995931	12506.3125	0.998620064834709	1.00360679025363
62	12587.5	12598.4660811583	12596.075	1.00018982747866	0.99912957013277
63	12683.2	12692.6652166055	12686.1	1.00051751260084	0.999254276667351
64	12748.7	12789.2962360129	12780.7	1.00067259508579	0.996825764665722
65	12915.9	12845.1625147132	12862.9125	0.998620064834709	1.00550693579827
66	12962.5	12939.7058455484	12937.25	1.00018982747866	1.00176156666339
67	12965.9	13005.9772756765	12999.25	1.00051751260084	0.99691854946176
68	13060.7	13061.21650532	13052.4375	1.00067259508579	0.999960455037261
69	13099.9	13108.9105565868	13127.025	0.998620064834709	0.999312638792679
70	13204	13215.2456406459	13212.7375	1.00018982747866	0.999149040362043
71	13321.1	13294.3014098702	13287.425	1.00051751260084	1.00201579528729
72	13391.2	13356.1897695364	13347.2125	1.00067259508579	1.00262127381144
73	13366.9	13355.6071608535	13374.0625	0.998620064834709	1.00084555041269
74	13415.3	13345.8704321146	13343.3375	1.00018982747866	1.00520232593584
75	13324.6	13263.8481580804	13256.9875	1.00051751260084	1.00458025764435
76	13141.9	13146.4112683841	13137.575	1.00067259508579	0.999656844115702
77	12925.4	13011.4202727574	13029.4	0.998620064834709	0.993388863709409
78	12901.5	12989.5528060753	12987.0875	1.00018982747866	0.9932212596238
79	12973	NA	NA	1.00051751260084	NA
80	13155	NA	NA	1.00067259508579	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 = 4 ;

Parameters (R input):

par1 = multiplicative ; par2 = 4 ;

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