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rwasp_decompose.wasp

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Classical Decomposition

Date of computation

Mon, 05 Dec 2011 09:52:21 -0500

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Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2011/Dec/05/t1323096879hgp4p506fel2wzm.htm/, Retrieved Fri, 03 May 2024 08:45:53 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=150962, Retrieved Fri, 03 May 2024 08:45:53 +0000

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User-defined keywords

KDGP2W92

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

-       [Classical Decomposition] [] [2011-12-05 14:52:21] [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	2 seconds
R Server	'Gertrude Mary Cox' @ cox.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 2 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=150962&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=150962&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=150962&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	'Gertrude Mary Cox' @ cox.wessa.net

Classical Decomposition by Moving Averages
t	Observations	Fit	Trend	Seasonal	Random
1	18.94	NA	NA	0.996198842148432	NA
2	18.97	NA	NA	0.999562210922864	NA
3	19	NA	NA	1.0025854929573	NA
4	19.08	NA	NA	1.0026088209021	NA
5	19.18	NA	NA	1.00186556378098	NA
6	19.24	NA	NA	0.999352073437738	NA
7	19.23	19.2065036186281	19.2004166666667	1.00031702186818	1.00122335547575
8	19.25	19.2262762981678	19.2366666666667	0.999459866479007	1.00123392077926
9	19.3	19.2786572324095	19.2866666666667	0.999584716509309	1.00110706712263
10	19.33	19.3454024358608	19.3441666666667	1.00006388329957	0.999203819309943
11	19.35	19.4104602654343	19.4025	1.00041027009067	0.996885170953831
12	19.35	19.4238202915471	19.4629166666667	0.997991237603842	0.996199496780805
13	19.31	19.455348304308	19.5295833333333	0.996198842148432	0.992529133787042
14	19.47	19.5993325349246	19.6079166666667	0.999562210922864	0.993401176560776
15	19.7	19.7484277475265	19.6975	1.0025854929573	0.997547766933874
16	19.76	19.8424640730034	19.7908333333333	1.0026088209021	0.995844060863612
17	19.9	19.9246013996942	19.8875	1.00186556378098	0.998765275189166
18	19.97	19.9774643447177	19.9904166666667	0.999352073437738	0.999626361754983
19	20.1	20.1063721395504	20.1	1.00031702186818	0.999683078602836
20	20.26	20.2074127337614	20.2183333333333	0.999459866479007	1.00260237502601
21	20.44	20.3240562484255	20.3325	0.999584716509309	1.00570475451147
22	20.43	20.4433892410668	20.4420833333333	1.00006388329957	0.999345057665882
23	20.57	20.5584310503633	20.55	1.00041027009067	1.0005627350457
24	20.6	20.6097665455663	20.65125	0.997991237603842	0.999526120514527
25	20.69	20.6727863059835	20.7516666666667	0.996198842148432	1.00083267411377
26	20.93	20.8375402237053	20.8466666666667	0.999562210922864	1.00443717326047
27	20.98	20.9882918071503	20.9341666666667	1.0025854929573	0.999604931776891
28	21.11	21.0802682131421	21.0254166666667	1.0026088209021	1.00141040837608
29	21.14	21.1614879269788	21.1220833333333	1.00186556378098	0.998984573908369
30	21.16	21.205001808257	21.21875	0.999352073437738	0.997877773901463
31	21.32	21.3200901260838	21.3133333333333	1.00031702186818	0.99999577271563
32	21.32	21.3884411426507	21.4	0.999459866479007	0.996800087383916
33	21.48	21.4823250386807	21.49125	0.999584716509309	0.999891769690827
34	21.58	21.5963795598543	21.595	1.00006388329957	0.999241559919389
35	21.74	21.7118207242554	21.7029166666667	1.00041027009067	1.0012978771381
36	21.75	21.7707630186455	21.8145833333333	0.997991237603842	0.999046288886261
37	21.81	21.8387540341481	21.9220833333333	0.996198842148432	0.998683348230254
38	21.89	22.0174401168488	22.0270833333333	0.999562210922864	0.994211855866418
39	22.21	22.1838750075019	22.1266666666667	1.0025854929573	1.00117765685613
40	22.37	22.2833987982246	22.2254166666667	1.0026088209021	1.00388635515433
41	22.47	22.3695708193047	22.3279166666667	1.00186556378098	1.0044895443684
42	22.51	22.4142178171167	22.42875	0.999352073437738	1.00427327795531
43	22.55	22.53714250269	22.53	1.00031702186818	1.00057050255188
44	22.61	22.618609661642	22.6308333333333	0.999459866479007	0.999619354957233
45	22.58	22.7126472272509	22.7220833333333	0.999584716509309	0.994159763680398
46	22.85	22.7977062996679	22.79625	1.00006388329957	1.00229381410764
47	22.93	22.8702124494979	22.8608333333333	1.00041027009067	1.00261421054283
48	22.98	22.8752066549271	22.92125	0.997991237603842	1.00458108845327
49	23.01	22.8872533155093	22.9745833333333	0.996198842148432	1.00536310245701
50	23.11	23.0107550639534	23.0208333333333	0.999562210922864	1.00431298042027
51	23.18	23.1271408587926	23.0675	1.0025854929573	1.00228558910633
52	23.18	23.1669478216446	23.1066666666667	1.0026088209021	1.00056339654476
53	23.21	23.1764900421333	23.1333333333333	1.00186556378098	1.0014458599126
54	23.22	23.1399972604508	23.155	0.999352073437738	1.00345733573988
55	23.12	23.182346981795	23.175	1.00031702186818	0.997310583702161
56	23.15	23.1841373694247	23.1966666666667	0.999459866479007	0.99852755490184
57	23.16	23.2082746491867	23.2179166666667	0.999584716509309	0.997919938042941
58	23.21	23.240234568028	23.23875	1.00006388329957	0.998699042045404
59	23.21	23.2699597199216	23.2604166666667	1.00041027009067	0.9974232993678
60	23.22	23.2332360114174	23.28	0.997991237603842	0.999430298413405
61	23.25	23.2180743476728	23.3066666666667	0.996198842148432	1.00137503446019
62	23.39	23.3335303612306	23.34375	0.999562210922864	1.00242010694032
63	23.41	23.4529811440037	23.3925	1.0025854929573	0.99816734837504
64	23.45	23.5186964163111	23.4575	1.0026088209021	0.99707907210948
65	23.46	23.575566491706	23.5316666666667	1.00186556378098	0.995098039669728
66	23.44	23.5922040736814	23.6075	0.999352073437738	0.993548543696636
67	23.54	NA	NA	1.00031702186818	NA
68	23.62	NA	NA	0.999459866479007	NA
69	23.86	NA	NA	0.999584716509309	NA
70	24.07	NA	NA	1.00006388329957	NA
71	24.13	NA	NA	1.00041027009067	NA
72	24.12	NA	NA	0.997991237603842	NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 18.94 & NA & NA & 0.996198842148432 & NA \tabularnewline
2 & 18.97 & NA & NA & 0.999562210922864 & NA \tabularnewline
3 & 19 & NA & NA & 1.0025854929573 & NA \tabularnewline
4 & 19.08 & NA & NA & 1.0026088209021 & NA \tabularnewline
5 & 19.18 & NA & NA & 1.00186556378098 & NA \tabularnewline
6 & 19.24 & NA & NA & 0.999352073437738 & NA \tabularnewline
7 & 19.23 & 19.2065036186281 & 19.2004166666667 & 1.00031702186818 & 1.00122335547575 \tabularnewline
8 & 19.25 & 19.2262762981678 & 19.2366666666667 & 0.999459866479007 & 1.00123392077926 \tabularnewline
9 & 19.3 & 19.2786572324095 & 19.2866666666667 & 0.999584716509309 & 1.00110706712263 \tabularnewline
10 & 19.33 & 19.3454024358608 & 19.3441666666667 & 1.00006388329957 & 0.999203819309943 \tabularnewline
11 & 19.35 & 19.4104602654343 & 19.4025 & 1.00041027009067 & 0.996885170953831 \tabularnewline
12 & 19.35 & 19.4238202915471 & 19.4629166666667 & 0.997991237603842 & 0.996199496780805 \tabularnewline
13 & 19.31 & 19.455348304308 & 19.5295833333333 & 0.996198842148432 & 0.992529133787042 \tabularnewline
14 & 19.47 & 19.5993325349246 & 19.6079166666667 & 0.999562210922864 & 0.993401176560776 \tabularnewline
15 & 19.7 & 19.7484277475265 & 19.6975 & 1.0025854929573 & 0.997547766933874 \tabularnewline
16 & 19.76 & 19.8424640730034 & 19.7908333333333 & 1.0026088209021 & 0.995844060863612 \tabularnewline
17 & 19.9 & 19.9246013996942 & 19.8875 & 1.00186556378098 & 0.998765275189166 \tabularnewline
18 & 19.97 & 19.9774643447177 & 19.9904166666667 & 0.999352073437738 & 0.999626361754983 \tabularnewline
19 & 20.1 & 20.1063721395504 & 20.1 & 1.00031702186818 & 0.999683078602836 \tabularnewline
20 & 20.26 & 20.2074127337614 & 20.2183333333333 & 0.999459866479007 & 1.00260237502601 \tabularnewline
21 & 20.44 & 20.3240562484255 & 20.3325 & 0.999584716509309 & 1.00570475451147 \tabularnewline
22 & 20.43 & 20.4433892410668 & 20.4420833333333 & 1.00006388329957 & 0.999345057665882 \tabularnewline
23 & 20.57 & 20.5584310503633 & 20.55 & 1.00041027009067 & 1.0005627350457 \tabularnewline
24 & 20.6 & 20.6097665455663 & 20.65125 & 0.997991237603842 & 0.999526120514527 \tabularnewline
25 & 20.69 & 20.6727863059835 & 20.7516666666667 & 0.996198842148432 & 1.00083267411377 \tabularnewline
26 & 20.93 & 20.8375402237053 & 20.8466666666667 & 0.999562210922864 & 1.00443717326047 \tabularnewline
27 & 20.98 & 20.9882918071503 & 20.9341666666667 & 1.0025854929573 & 0.999604931776891 \tabularnewline
28 & 21.11 & 21.0802682131421 & 21.0254166666667 & 1.0026088209021 & 1.00141040837608 \tabularnewline
29 & 21.14 & 21.1614879269788 & 21.1220833333333 & 1.00186556378098 & 0.998984573908369 \tabularnewline
30 & 21.16 & 21.205001808257 & 21.21875 & 0.999352073437738 & 0.997877773901463 \tabularnewline
31 & 21.32 & 21.3200901260838 & 21.3133333333333 & 1.00031702186818 & 0.99999577271563 \tabularnewline
32 & 21.32 & 21.3884411426507 & 21.4 & 0.999459866479007 & 0.996800087383916 \tabularnewline
33 & 21.48 & 21.4823250386807 & 21.49125 & 0.999584716509309 & 0.999891769690827 \tabularnewline
34 & 21.58 & 21.5963795598543 & 21.595 & 1.00006388329957 & 0.999241559919389 \tabularnewline
35 & 21.74 & 21.7118207242554 & 21.7029166666667 & 1.00041027009067 & 1.0012978771381 \tabularnewline
36 & 21.75 & 21.7707630186455 & 21.8145833333333 & 0.997991237603842 & 0.999046288886261 \tabularnewline
37 & 21.81 & 21.8387540341481 & 21.9220833333333 & 0.996198842148432 & 0.998683348230254 \tabularnewline
38 & 21.89 & 22.0174401168488 & 22.0270833333333 & 0.999562210922864 & 0.994211855866418 \tabularnewline
39 & 22.21 & 22.1838750075019 & 22.1266666666667 & 1.0025854929573 & 1.00117765685613 \tabularnewline
40 & 22.37 & 22.2833987982246 & 22.2254166666667 & 1.0026088209021 & 1.00388635515433 \tabularnewline
41 & 22.47 & 22.3695708193047 & 22.3279166666667 & 1.00186556378098 & 1.0044895443684 \tabularnewline
42 & 22.51 & 22.4142178171167 & 22.42875 & 0.999352073437738 & 1.00427327795531 \tabularnewline
43 & 22.55 & 22.53714250269 & 22.53 & 1.00031702186818 & 1.00057050255188 \tabularnewline
44 & 22.61 & 22.618609661642 & 22.6308333333333 & 0.999459866479007 & 0.999619354957233 \tabularnewline
45 & 22.58 & 22.7126472272509 & 22.7220833333333 & 0.999584716509309 & 0.994159763680398 \tabularnewline
46 & 22.85 & 22.7977062996679 & 22.79625 & 1.00006388329957 & 1.00229381410764 \tabularnewline
47 & 22.93 & 22.8702124494979 & 22.8608333333333 & 1.00041027009067 & 1.00261421054283 \tabularnewline
48 & 22.98 & 22.8752066549271 & 22.92125 & 0.997991237603842 & 1.00458108845327 \tabularnewline
49 & 23.01 & 22.8872533155093 & 22.9745833333333 & 0.996198842148432 & 1.00536310245701 \tabularnewline
50 & 23.11 & 23.0107550639534 & 23.0208333333333 & 0.999562210922864 & 1.00431298042027 \tabularnewline
51 & 23.18 & 23.1271408587926 & 23.0675 & 1.0025854929573 & 1.00228558910633 \tabularnewline
52 & 23.18 & 23.1669478216446 & 23.1066666666667 & 1.0026088209021 & 1.00056339654476 \tabularnewline
53 & 23.21 & 23.1764900421333 & 23.1333333333333 & 1.00186556378098 & 1.0014458599126 \tabularnewline
54 & 23.22 & 23.1399972604508 & 23.155 & 0.999352073437738 & 1.00345733573988 \tabularnewline
55 & 23.12 & 23.182346981795 & 23.175 & 1.00031702186818 & 0.997310583702161 \tabularnewline
56 & 23.15 & 23.1841373694247 & 23.1966666666667 & 0.999459866479007 & 0.99852755490184 \tabularnewline
57 & 23.16 & 23.2082746491867 & 23.2179166666667 & 0.999584716509309 & 0.997919938042941 \tabularnewline
58 & 23.21 & 23.240234568028 & 23.23875 & 1.00006388329957 & 0.998699042045404 \tabularnewline
59 & 23.21 & 23.2699597199216 & 23.2604166666667 & 1.00041027009067 & 0.9974232993678 \tabularnewline
60 & 23.22 & 23.2332360114174 & 23.28 & 0.997991237603842 & 0.999430298413405 \tabularnewline
61 & 23.25 & 23.2180743476728 & 23.3066666666667 & 0.996198842148432 & 1.00137503446019 \tabularnewline
62 & 23.39 & 23.3335303612306 & 23.34375 & 0.999562210922864 & 1.00242010694032 \tabularnewline
63 & 23.41 & 23.4529811440037 & 23.3925 & 1.0025854929573 & 0.99816734837504 \tabularnewline
64 & 23.45 & 23.5186964163111 & 23.4575 & 1.0026088209021 & 0.99707907210948 \tabularnewline
65 & 23.46 & 23.575566491706 & 23.5316666666667 & 1.00186556378098 & 0.995098039669728 \tabularnewline
66 & 23.44 & 23.5922040736814 & 23.6075 & 0.999352073437738 & 0.993548543696636 \tabularnewline
67 & 23.54 & NA & NA & 1.00031702186818 & NA \tabularnewline
68 & 23.62 & NA & NA & 0.999459866479007 & NA \tabularnewline
69 & 23.86 & NA & NA & 0.999584716509309 & NA \tabularnewline
70 & 24.07 & NA & NA & 1.00006388329957 & NA \tabularnewline
71 & 24.13 & NA & NA & 1.00041027009067 & NA \tabularnewline
72 & 24.12 & NA & NA & 0.997991237603842 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=150962&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]18.94[/C][C]NA[/C][C]NA[/C][C]0.996198842148432[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]18.97[/C][C]NA[/C][C]NA[/C][C]0.999562210922864[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]19[/C][C]NA[/C][C]NA[/C][C]1.0025854929573[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]19.08[/C][C]NA[/C][C]NA[/C][C]1.0026088209021[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]19.18[/C][C]NA[/C][C]NA[/C][C]1.00186556378098[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]19.24[/C][C]NA[/C][C]NA[/C][C]0.999352073437738[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]19.23[/C][C]19.2065036186281[/C][C]19.2004166666667[/C][C]1.00031702186818[/C][C]1.00122335547575[/C][/ROW]
[ROW][C]8[/C][C]19.25[/C][C]19.2262762981678[/C][C]19.2366666666667[/C][C]0.999459866479007[/C][C]1.00123392077926[/C][/ROW]
[ROW][C]9[/C][C]19.3[/C][C]19.2786572324095[/C][C]19.2866666666667[/C][C]0.999584716509309[/C][C]1.00110706712263[/C][/ROW]
[ROW][C]10[/C][C]19.33[/C][C]19.3454024358608[/C][C]19.3441666666667[/C][C]1.00006388329957[/C][C]0.999203819309943[/C][/ROW]
[ROW][C]11[/C][C]19.35[/C][C]19.4104602654343[/C][C]19.4025[/C][C]1.00041027009067[/C][C]0.996885170953831[/C][/ROW]
[ROW][C]12[/C][C]19.35[/C][C]19.4238202915471[/C][C]19.4629166666667[/C][C]0.997991237603842[/C][C]0.996199496780805[/C][/ROW]
[ROW][C]13[/C][C]19.31[/C][C]19.455348304308[/C][C]19.5295833333333[/C][C]0.996198842148432[/C][C]0.992529133787042[/C][/ROW]
[ROW][C]14[/C][C]19.47[/C][C]19.5993325349246[/C][C]19.6079166666667[/C][C]0.999562210922864[/C][C]0.993401176560776[/C][/ROW]
[ROW][C]15[/C][C]19.7[/C][C]19.7484277475265[/C][C]19.6975[/C][C]1.0025854929573[/C][C]0.997547766933874[/C][/ROW]
[ROW][C]16[/C][C]19.76[/C][C]19.8424640730034[/C][C]19.7908333333333[/C][C]1.0026088209021[/C][C]0.995844060863612[/C][/ROW]
[ROW][C]17[/C][C]19.9[/C][C]19.9246013996942[/C][C]19.8875[/C][C]1.00186556378098[/C][C]0.998765275189166[/C][/ROW]
[ROW][C]18[/C][C]19.97[/C][C]19.9774643447177[/C][C]19.9904166666667[/C][C]0.999352073437738[/C][C]0.999626361754983[/C][/ROW]
[ROW][C]19[/C][C]20.1[/C][C]20.1063721395504[/C][C]20.1[/C][C]1.00031702186818[/C][C]0.999683078602836[/C][/ROW]
[ROW][C]20[/C][C]20.26[/C][C]20.2074127337614[/C][C]20.2183333333333[/C][C]0.999459866479007[/C][C]1.00260237502601[/C][/ROW]
[ROW][C]21[/C][C]20.44[/C][C]20.3240562484255[/C][C]20.3325[/C][C]0.999584716509309[/C][C]1.00570475451147[/C][/ROW]
[ROW][C]22[/C][C]20.43[/C][C]20.4433892410668[/C][C]20.4420833333333[/C][C]1.00006388329957[/C][C]0.999345057665882[/C][/ROW]
[ROW][C]23[/C][C]20.57[/C][C]20.5584310503633[/C][C]20.55[/C][C]1.00041027009067[/C][C]1.0005627350457[/C][/ROW]
[ROW][C]24[/C][C]20.6[/C][C]20.6097665455663[/C][C]20.65125[/C][C]0.997991237603842[/C][C]0.999526120514527[/C][/ROW]
[ROW][C]25[/C][C]20.69[/C][C]20.6727863059835[/C][C]20.7516666666667[/C][C]0.996198842148432[/C][C]1.00083267411377[/C][/ROW]
[ROW][C]26[/C][C]20.93[/C][C]20.8375402237053[/C][C]20.8466666666667[/C][C]0.999562210922864[/C][C]1.00443717326047[/C][/ROW]
[ROW][C]27[/C][C]20.98[/C][C]20.9882918071503[/C][C]20.9341666666667[/C][C]1.0025854929573[/C][C]0.999604931776891[/C][/ROW]
[ROW][C]28[/C][C]21.11[/C][C]21.0802682131421[/C][C]21.0254166666667[/C][C]1.0026088209021[/C][C]1.00141040837608[/C][/ROW]
[ROW][C]29[/C][C]21.14[/C][C]21.1614879269788[/C][C]21.1220833333333[/C][C]1.00186556378098[/C][C]0.998984573908369[/C][/ROW]
[ROW][C]30[/C][C]21.16[/C][C]21.205001808257[/C][C]21.21875[/C][C]0.999352073437738[/C][C]0.997877773901463[/C][/ROW]
[ROW][C]31[/C][C]21.32[/C][C]21.3200901260838[/C][C]21.3133333333333[/C][C]1.00031702186818[/C][C]0.99999577271563[/C][/ROW]
[ROW][C]32[/C][C]21.32[/C][C]21.3884411426507[/C][C]21.4[/C][C]0.999459866479007[/C][C]0.996800087383916[/C][/ROW]
[ROW][C]33[/C][C]21.48[/C][C]21.4823250386807[/C][C]21.49125[/C][C]0.999584716509309[/C][C]0.999891769690827[/C][/ROW]
[ROW][C]34[/C][C]21.58[/C][C]21.5963795598543[/C][C]21.595[/C][C]1.00006388329957[/C][C]0.999241559919389[/C][/ROW]
[ROW][C]35[/C][C]21.74[/C][C]21.7118207242554[/C][C]21.7029166666667[/C][C]1.00041027009067[/C][C]1.0012978771381[/C][/ROW]
[ROW][C]36[/C][C]21.75[/C][C]21.7707630186455[/C][C]21.8145833333333[/C][C]0.997991237603842[/C][C]0.999046288886261[/C][/ROW]
[ROW][C]37[/C][C]21.81[/C][C]21.8387540341481[/C][C]21.9220833333333[/C][C]0.996198842148432[/C][C]0.998683348230254[/C][/ROW]
[ROW][C]38[/C][C]21.89[/C][C]22.0174401168488[/C][C]22.0270833333333[/C][C]0.999562210922864[/C][C]0.994211855866418[/C][/ROW]
[ROW][C]39[/C][C]22.21[/C][C]22.1838750075019[/C][C]22.1266666666667[/C][C]1.0025854929573[/C][C]1.00117765685613[/C][/ROW]
[ROW][C]40[/C][C]22.37[/C][C]22.2833987982246[/C][C]22.2254166666667[/C][C]1.0026088209021[/C][C]1.00388635515433[/C][/ROW]
[ROW][C]41[/C][C]22.47[/C][C]22.3695708193047[/C][C]22.3279166666667[/C][C]1.00186556378098[/C][C]1.0044895443684[/C][/ROW]
[ROW][C]42[/C][C]22.51[/C][C]22.4142178171167[/C][C]22.42875[/C][C]0.999352073437738[/C][C]1.00427327795531[/C][/ROW]
[ROW][C]43[/C][C]22.55[/C][C]22.53714250269[/C][C]22.53[/C][C]1.00031702186818[/C][C]1.00057050255188[/C][/ROW]
[ROW][C]44[/C][C]22.61[/C][C]22.618609661642[/C][C]22.6308333333333[/C][C]0.999459866479007[/C][C]0.999619354957233[/C][/ROW]
[ROW][C]45[/C][C]22.58[/C][C]22.7126472272509[/C][C]22.7220833333333[/C][C]0.999584716509309[/C][C]0.994159763680398[/C][/ROW]
[ROW][C]46[/C][C]22.85[/C][C]22.7977062996679[/C][C]22.79625[/C][C]1.00006388329957[/C][C]1.00229381410764[/C][/ROW]
[ROW][C]47[/C][C]22.93[/C][C]22.8702124494979[/C][C]22.8608333333333[/C][C]1.00041027009067[/C][C]1.00261421054283[/C][/ROW]
[ROW][C]48[/C][C]22.98[/C][C]22.8752066549271[/C][C]22.92125[/C][C]0.997991237603842[/C][C]1.00458108845327[/C][/ROW]
[ROW][C]49[/C][C]23.01[/C][C]22.8872533155093[/C][C]22.9745833333333[/C][C]0.996198842148432[/C][C]1.00536310245701[/C][/ROW]
[ROW][C]50[/C][C]23.11[/C][C]23.0107550639534[/C][C]23.0208333333333[/C][C]0.999562210922864[/C][C]1.00431298042027[/C][/ROW]
[ROW][C]51[/C][C]23.18[/C][C]23.1271408587926[/C][C]23.0675[/C][C]1.0025854929573[/C][C]1.00228558910633[/C][/ROW]
[ROW][C]52[/C][C]23.18[/C][C]23.1669478216446[/C][C]23.1066666666667[/C][C]1.0026088209021[/C][C]1.00056339654476[/C][/ROW]
[ROW][C]53[/C][C]23.21[/C][C]23.1764900421333[/C][C]23.1333333333333[/C][C]1.00186556378098[/C][C]1.0014458599126[/C][/ROW]
[ROW][C]54[/C][C]23.22[/C][C]23.1399972604508[/C][C]23.155[/C][C]0.999352073437738[/C][C]1.00345733573988[/C][/ROW]
[ROW][C]55[/C][C]23.12[/C][C]23.182346981795[/C][C]23.175[/C][C]1.00031702186818[/C][C]0.997310583702161[/C][/ROW]
[ROW][C]56[/C][C]23.15[/C][C]23.1841373694247[/C][C]23.1966666666667[/C][C]0.999459866479007[/C][C]0.99852755490184[/C][/ROW]
[ROW][C]57[/C][C]23.16[/C][C]23.2082746491867[/C][C]23.2179166666667[/C][C]0.999584716509309[/C][C]0.997919938042941[/C][/ROW]
[ROW][C]58[/C][C]23.21[/C][C]23.240234568028[/C][C]23.23875[/C][C]1.00006388329957[/C][C]0.998699042045404[/C][/ROW]
[ROW][C]59[/C][C]23.21[/C][C]23.2699597199216[/C][C]23.2604166666667[/C][C]1.00041027009067[/C][C]0.9974232993678[/C][/ROW]
[ROW][C]60[/C][C]23.22[/C][C]23.2332360114174[/C][C]23.28[/C][C]0.997991237603842[/C][C]0.999430298413405[/C][/ROW]
[ROW][C]61[/C][C]23.25[/C][C]23.2180743476728[/C][C]23.3066666666667[/C][C]0.996198842148432[/C][C]1.00137503446019[/C][/ROW]
[ROW][C]62[/C][C]23.39[/C][C]23.3335303612306[/C][C]23.34375[/C][C]0.999562210922864[/C][C]1.00242010694032[/C][/ROW]
[ROW][C]63[/C][C]23.41[/C][C]23.4529811440037[/C][C]23.3925[/C][C]1.0025854929573[/C][C]0.99816734837504[/C][/ROW]
[ROW][C]64[/C][C]23.45[/C][C]23.5186964163111[/C][C]23.4575[/C][C]1.0026088209021[/C][C]0.99707907210948[/C][/ROW]
[ROW][C]65[/C][C]23.46[/C][C]23.575566491706[/C][C]23.5316666666667[/C][C]1.00186556378098[/C][C]0.995098039669728[/C][/ROW]
[ROW][C]66[/C][C]23.44[/C][C]23.5922040736814[/C][C]23.6075[/C][C]0.999352073437738[/C][C]0.993548543696636[/C][/ROW]
[ROW][C]67[/C][C]23.54[/C][C]NA[/C][C]NA[/C][C]1.00031702186818[/C][C]NA[/C][/ROW]
[ROW][C]68[/C][C]23.62[/C][C]NA[/C][C]NA[/C][C]0.999459866479007[/C][C]NA[/C][/ROW]
[ROW][C]69[/C][C]23.86[/C][C]NA[/C][C]NA[/C][C]0.999584716509309[/C][C]NA[/C][/ROW]
[ROW][C]70[/C][C]24.07[/C][C]NA[/C][C]NA[/C][C]1.00006388329957[/C][C]NA[/C][/ROW]
[ROW][C]71[/C][C]24.13[/C][C]NA[/C][C]NA[/C][C]1.00041027009067[/C][C]NA[/C][/ROW]
[ROW][C]72[/C][C]24.12[/C][C]NA[/C][C]NA[/C][C]0.997991237603842[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=150962&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=150962&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	18.94	NA	NA	0.996198842148432	NA
2	18.97	NA	NA	0.999562210922864	NA
3	19	NA	NA	1.0025854929573	NA
4	19.08	NA	NA	1.0026088209021	NA
5	19.18	NA	NA	1.00186556378098	NA
6	19.24	NA	NA	0.999352073437738	NA
7	19.23	19.2065036186281	19.2004166666667	1.00031702186818	1.00122335547575
8	19.25	19.2262762981678	19.2366666666667	0.999459866479007	1.00123392077926
9	19.3	19.2786572324095	19.2866666666667	0.999584716509309	1.00110706712263
10	19.33	19.3454024358608	19.3441666666667	1.00006388329957	0.999203819309943
11	19.35	19.4104602654343	19.4025	1.00041027009067	0.996885170953831
12	19.35	19.4238202915471	19.4629166666667	0.997991237603842	0.996199496780805
13	19.31	19.455348304308	19.5295833333333	0.996198842148432	0.992529133787042
14	19.47	19.5993325349246	19.6079166666667	0.999562210922864	0.993401176560776
15	19.7	19.7484277475265	19.6975	1.0025854929573	0.997547766933874
16	19.76	19.8424640730034	19.7908333333333	1.0026088209021	0.995844060863612
17	19.9	19.9246013996942	19.8875	1.00186556378098	0.998765275189166
18	19.97	19.9774643447177	19.9904166666667	0.999352073437738	0.999626361754983
19	20.1	20.1063721395504	20.1	1.00031702186818	0.999683078602836
20	20.26	20.2074127337614	20.2183333333333	0.999459866479007	1.00260237502601
21	20.44	20.3240562484255	20.3325	0.999584716509309	1.00570475451147
22	20.43	20.4433892410668	20.4420833333333	1.00006388329957	0.999345057665882
23	20.57	20.5584310503633	20.55	1.00041027009067	1.0005627350457
24	20.6	20.6097665455663	20.65125	0.997991237603842	0.999526120514527
25	20.69	20.6727863059835	20.7516666666667	0.996198842148432	1.00083267411377
26	20.93	20.8375402237053	20.8466666666667	0.999562210922864	1.00443717326047
27	20.98	20.9882918071503	20.9341666666667	1.0025854929573	0.999604931776891
28	21.11	21.0802682131421	21.0254166666667	1.0026088209021	1.00141040837608
29	21.14	21.1614879269788	21.1220833333333	1.00186556378098	0.998984573908369
30	21.16	21.205001808257	21.21875	0.999352073437738	0.997877773901463
31	21.32	21.3200901260838	21.3133333333333	1.00031702186818	0.99999577271563
32	21.32	21.3884411426507	21.4	0.999459866479007	0.996800087383916
33	21.48	21.4823250386807	21.49125	0.999584716509309	0.999891769690827
34	21.58	21.5963795598543	21.595	1.00006388329957	0.999241559919389
35	21.74	21.7118207242554	21.7029166666667	1.00041027009067	1.0012978771381
36	21.75	21.7707630186455	21.8145833333333	0.997991237603842	0.999046288886261
37	21.81	21.8387540341481	21.9220833333333	0.996198842148432	0.998683348230254
38	21.89	22.0174401168488	22.0270833333333	0.999562210922864	0.994211855866418
39	22.21	22.1838750075019	22.1266666666667	1.0025854929573	1.00117765685613
40	22.37	22.2833987982246	22.2254166666667	1.0026088209021	1.00388635515433
41	22.47	22.3695708193047	22.3279166666667	1.00186556378098	1.0044895443684
42	22.51	22.4142178171167	22.42875	0.999352073437738	1.00427327795531
43	22.55	22.53714250269	22.53	1.00031702186818	1.00057050255188
44	22.61	22.618609661642	22.6308333333333	0.999459866479007	0.999619354957233
45	22.58	22.7126472272509	22.7220833333333	0.999584716509309	0.994159763680398
46	22.85	22.7977062996679	22.79625	1.00006388329957	1.00229381410764
47	22.93	22.8702124494979	22.8608333333333	1.00041027009067	1.00261421054283
48	22.98	22.8752066549271	22.92125	0.997991237603842	1.00458108845327
49	23.01	22.8872533155093	22.9745833333333	0.996198842148432	1.00536310245701
50	23.11	23.0107550639534	23.0208333333333	0.999562210922864	1.00431298042027
51	23.18	23.1271408587926	23.0675	1.0025854929573	1.00228558910633
52	23.18	23.1669478216446	23.1066666666667	1.0026088209021	1.00056339654476
53	23.21	23.1764900421333	23.1333333333333	1.00186556378098	1.0014458599126
54	23.22	23.1399972604508	23.155	0.999352073437738	1.00345733573988
55	23.12	23.182346981795	23.175	1.00031702186818	0.997310583702161
56	23.15	23.1841373694247	23.1966666666667	0.999459866479007	0.99852755490184
57	23.16	23.2082746491867	23.2179166666667	0.999584716509309	0.997919938042941
58	23.21	23.240234568028	23.23875	1.00006388329957	0.998699042045404
59	23.21	23.2699597199216	23.2604166666667	1.00041027009067	0.9974232993678
60	23.22	23.2332360114174	23.28	0.997991237603842	0.999430298413405
61	23.25	23.2180743476728	23.3066666666667	0.996198842148432	1.00137503446019
62	23.39	23.3335303612306	23.34375	0.999562210922864	1.00242010694032
63	23.41	23.4529811440037	23.3925	1.0025854929573	0.99816734837504
64	23.45	23.5186964163111	23.4575	1.0026088209021	0.99707907210948
65	23.46	23.575566491706	23.5316666666667	1.00186556378098	0.995098039669728
66	23.44	23.5922040736814	23.6075	0.999352073437738	0.993548543696636
67	23.54	NA	NA	1.00031702186818	NA
68	23.62	NA	NA	0.999459866479007	NA
69	23.86	NA	NA	0.999584716509309	NA
70	24.07	NA	NA	1.00006388329957	NA
71	24.13	NA	NA	1.00041027009067	NA
72	24.12	NA	NA	0.997991237603842	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