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rwasp_decompose.wasp

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Classical Decomposition

Date of computation

Tue, 02 May 2017 11:15:23 +0100

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Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2017/May/02/t1493720144kq5phoujt5u1nny.htm/, Retrieved Fri, 17 May 2024 06:05:48 +0200

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=, Retrieved Fri, 17 May 2024 06:05:48 +0200

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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	'Gwilym Jenkins' @ jenkins.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 & 4 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&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]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&T=0

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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	'Gwilym Jenkins' @ jenkins.wessa.net

Classical Decomposition by Moving Averages
t	Observations	Fit	Trend	Seasonal	Random
1	78.46	NA	NA	0.0506667	NA
2	78.59	NA	NA	0.176583	NA
3	81.37	NA	NA	0.255083	NA
4	83.61	NA	NA	0.265583	NA
5	83.85	NA	NA	0.0781667	NA
6	84.08	NA	NA	0.107833	NA
7	84.56	84.0309	83.9179	0.113	0.529083
8	84.65	84.5789	84.6221	-0.0431667	0.0710833
9	85.41	85.0525	85.2558	-0.203333	0.3575
10	85.75	85.4496	85.7192	-0.269583	0.300417
11	86.21	85.7033	86.0983	-0.395	0.506667
12	86.38	86.3383	86.4742	-0.135833	0.0416667
13	86.65	86.8853	86.8346	0.0506667	-0.23525
14	87.3	87.3574	87.1808	0.176583	-0.0574167
15	87.87	87.7551	87.5	0.255083	0.114917
16	88.23	88.0535	87.7879	0.265583	0.1765
17	88.33	88.1419	88.0638	0.0781667	0.188083
18	88.62	88.4399	88.3321	0.107833	0.180083
19	88.67	88.7363	88.6233	0.113	-0.0663333
20	88.85	88.8635	88.9067	-0.0431667	-0.0135
21	88.87	88.98	89.1833	-0.203333	-0.11
22	89.2	89.2229	89.4925	-0.269583	-0.0229167
23	89.38	89.42	89.815	-0.395	-0.04
24	89.65	89.9946	90.1304	-0.135833	-0.344583
25	90.37	90.4994	90.4487	0.0506667	-0.129417
26	90.38	90.9683	90.7917	0.176583	-0.58825
27	91.43	91.4042	91.1492	0.255083	0.02575
28	92.09	91.7698	91.5042	0.265583	0.32025
29	92.21	91.9298	91.8517	0.0781667	0.280167
30	92.31	92.3853	92.2775	0.107833	-0.0753333
31	92.62	92.933	92.82	0.113	-0.313
32	93.13	93.3831	93.4263	-0.0431667	-0.253083
33	93.17	93.8154	94.0188	-0.203333	-0.645417
34	93.42	94.2783	94.5479	-0.269583	-0.858333
35	93.5	94.6608	95.0558	-0.395	-1.16083
36	95.75	95.4267	95.5625	-0.135833	0.323333
37	97.29	96.1082	96.0575	0.0506667	1.18183
38	98.01	96.7078	96.5313	0.176583	1.30217
39	98.02	97.2572	97.0021	0.255083	0.762833
40	98.2	97.7406	97.475	0.265583	0.459417
41	98.29	98.0294	97.9513	0.0781667	0.260583
42	98.39	98.4508	98.3429	0.107833	-0.06075
43	98.42	98.6913	98.5783	0.113	-0.271333
44	98.7	98.6835	98.7267	-0.0431667	0.0165
45	98.9	98.6633	98.8667	-0.203333	0.236667
46	99.04	98.7458	99.0154	-0.269583	0.294167
47	99.31	98.7754	99.1704	-0.395	0.534583
48	99.34	99.2163	99.3521	-0.135833	0.12375
49	99.35	99.6148	99.5642	0.0506667	-0.264833
50	99.51	99.9633	99.7867	0.176583	-0.45325
51	99.88	100.253	99.9979	0.255083	-0.373
52	99.91	100.476	100.211	0.265583	-0.566417
53	100.3	100.498	100.42	0.0781667	-0.19775
54	100.74	100.732	100.625	0.107833	0.00758333
55	101.16	100.951	100.838	0.113	0.208667
56	101.3	101.034	101.077	-0.0431667	0.266083
57	101.37	101.122	101.325	-0.203333	0.248333
58	101.68	101.306	101.576	-0.269583	0.37375
59	101.68	101.433	101.828	-0.395	0.246667
60	101.89	101.947	102.083	-0.135833	-0.0570833
61	101.93	102.395	102.345	0.0506667	-0.46525
62	102.66	102.776	102.6	0.176583	-0.116167
63	102.68	103.123	102.868	0.255083	-0.443417
64	103.13	103.433	103.167	0.265583	-0.302667
65	103.14	103.584	103.506	0.0781667	-0.444
66	104.01	103.974	103.867	0.107833	0.0355
67	104.17	NA	NA	0.113	NA
68	104.41	NA	NA	-0.0431667	NA
69	104.71	NA	NA	-0.203333	NA
70	105.51	NA	NA	-0.269583	NA
71	105.98	NA	NA	-0.395	NA
72	106.25	NA	NA	-0.135833	NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 78.46 & NA & NA & 0.0506667 & NA \tabularnewline
2 & 78.59 & NA & NA & 0.176583 & NA \tabularnewline
3 & 81.37 & NA & NA & 0.255083 & NA \tabularnewline
4 & 83.61 & NA & NA & 0.265583 & NA \tabularnewline
5 & 83.85 & NA & NA & 0.0781667 & NA \tabularnewline
6 & 84.08 & NA & NA & 0.107833 & NA \tabularnewline
7 & 84.56 & 84.0309 & 83.9179 & 0.113 & 0.529083 \tabularnewline
8 & 84.65 & 84.5789 & 84.6221 & -0.0431667 & 0.0710833 \tabularnewline
9 & 85.41 & 85.0525 & 85.2558 & -0.203333 & 0.3575 \tabularnewline
10 & 85.75 & 85.4496 & 85.7192 & -0.269583 & 0.300417 \tabularnewline
11 & 86.21 & 85.7033 & 86.0983 & -0.395 & 0.506667 \tabularnewline
12 & 86.38 & 86.3383 & 86.4742 & -0.135833 & 0.0416667 \tabularnewline
13 & 86.65 & 86.8853 & 86.8346 & 0.0506667 & -0.23525 \tabularnewline
14 & 87.3 & 87.3574 & 87.1808 & 0.176583 & -0.0574167 \tabularnewline
15 & 87.87 & 87.7551 & 87.5 & 0.255083 & 0.114917 \tabularnewline
16 & 88.23 & 88.0535 & 87.7879 & 0.265583 & 0.1765 \tabularnewline
17 & 88.33 & 88.1419 & 88.0638 & 0.0781667 & 0.188083 \tabularnewline
18 & 88.62 & 88.4399 & 88.3321 & 0.107833 & 0.180083 \tabularnewline
19 & 88.67 & 88.7363 & 88.6233 & 0.113 & -0.0663333 \tabularnewline
20 & 88.85 & 88.8635 & 88.9067 & -0.0431667 & -0.0135 \tabularnewline
21 & 88.87 & 88.98 & 89.1833 & -0.203333 & -0.11 \tabularnewline
22 & 89.2 & 89.2229 & 89.4925 & -0.269583 & -0.0229167 \tabularnewline
23 & 89.38 & 89.42 & 89.815 & -0.395 & -0.04 \tabularnewline
24 & 89.65 & 89.9946 & 90.1304 & -0.135833 & -0.344583 \tabularnewline
25 & 90.37 & 90.4994 & 90.4487 & 0.0506667 & -0.129417 \tabularnewline
26 & 90.38 & 90.9683 & 90.7917 & 0.176583 & -0.58825 \tabularnewline
27 & 91.43 & 91.4042 & 91.1492 & 0.255083 & 0.02575 \tabularnewline
28 & 92.09 & 91.7698 & 91.5042 & 0.265583 & 0.32025 \tabularnewline
29 & 92.21 & 91.9298 & 91.8517 & 0.0781667 & 0.280167 \tabularnewline
30 & 92.31 & 92.3853 & 92.2775 & 0.107833 & -0.0753333 \tabularnewline
31 & 92.62 & 92.933 & 92.82 & 0.113 & -0.313 \tabularnewline
32 & 93.13 & 93.3831 & 93.4263 & -0.0431667 & -0.253083 \tabularnewline
33 & 93.17 & 93.8154 & 94.0188 & -0.203333 & -0.645417 \tabularnewline
34 & 93.42 & 94.2783 & 94.5479 & -0.269583 & -0.858333 \tabularnewline
35 & 93.5 & 94.6608 & 95.0558 & -0.395 & -1.16083 \tabularnewline
36 & 95.75 & 95.4267 & 95.5625 & -0.135833 & 0.323333 \tabularnewline
37 & 97.29 & 96.1082 & 96.0575 & 0.0506667 & 1.18183 \tabularnewline
38 & 98.01 & 96.7078 & 96.5313 & 0.176583 & 1.30217 \tabularnewline
39 & 98.02 & 97.2572 & 97.0021 & 0.255083 & 0.762833 \tabularnewline
40 & 98.2 & 97.7406 & 97.475 & 0.265583 & 0.459417 \tabularnewline
41 & 98.29 & 98.0294 & 97.9513 & 0.0781667 & 0.260583 \tabularnewline
42 & 98.39 & 98.4508 & 98.3429 & 0.107833 & -0.06075 \tabularnewline
43 & 98.42 & 98.6913 & 98.5783 & 0.113 & -0.271333 \tabularnewline
44 & 98.7 & 98.6835 & 98.7267 & -0.0431667 & 0.0165 \tabularnewline
45 & 98.9 & 98.6633 & 98.8667 & -0.203333 & 0.236667 \tabularnewline
46 & 99.04 & 98.7458 & 99.0154 & -0.269583 & 0.294167 \tabularnewline
47 & 99.31 & 98.7754 & 99.1704 & -0.395 & 0.534583 \tabularnewline
48 & 99.34 & 99.2163 & 99.3521 & -0.135833 & 0.12375 \tabularnewline
49 & 99.35 & 99.6148 & 99.5642 & 0.0506667 & -0.264833 \tabularnewline
50 & 99.51 & 99.9633 & 99.7867 & 0.176583 & -0.45325 \tabularnewline
51 & 99.88 & 100.253 & 99.9979 & 0.255083 & -0.373 \tabularnewline
52 & 99.91 & 100.476 & 100.211 & 0.265583 & -0.566417 \tabularnewline
53 & 100.3 & 100.498 & 100.42 & 0.0781667 & -0.19775 \tabularnewline
54 & 100.74 & 100.732 & 100.625 & 0.107833 & 0.00758333 \tabularnewline
55 & 101.16 & 100.951 & 100.838 & 0.113 & 0.208667 \tabularnewline
56 & 101.3 & 101.034 & 101.077 & -0.0431667 & 0.266083 \tabularnewline
57 & 101.37 & 101.122 & 101.325 & -0.203333 & 0.248333 \tabularnewline
58 & 101.68 & 101.306 & 101.576 & -0.269583 & 0.37375 \tabularnewline
59 & 101.68 & 101.433 & 101.828 & -0.395 & 0.246667 \tabularnewline
60 & 101.89 & 101.947 & 102.083 & -0.135833 & -0.0570833 \tabularnewline
61 & 101.93 & 102.395 & 102.345 & 0.0506667 & -0.46525 \tabularnewline
62 & 102.66 & 102.776 & 102.6 & 0.176583 & -0.116167 \tabularnewline
63 & 102.68 & 103.123 & 102.868 & 0.255083 & -0.443417 \tabularnewline
64 & 103.13 & 103.433 & 103.167 & 0.265583 & -0.302667 \tabularnewline
65 & 103.14 & 103.584 & 103.506 & 0.0781667 & -0.444 \tabularnewline
66 & 104.01 & 103.974 & 103.867 & 0.107833 & 0.0355 \tabularnewline
67 & 104.17 & NA & NA & 0.113 & NA \tabularnewline
68 & 104.41 & NA & NA & -0.0431667 & NA \tabularnewline
69 & 104.71 & NA & NA & -0.203333 & NA \tabularnewline
70 & 105.51 & NA & NA & -0.269583 & NA \tabularnewline
71 & 105.98 & NA & NA & -0.395 & NA \tabularnewline
72 & 106.25 & NA & NA & -0.135833 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&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]78.46[/C][C]NA[/C][C]NA[/C][C]0.0506667[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]78.59[/C][C]NA[/C][C]NA[/C][C]0.176583[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]81.37[/C][C]NA[/C][C]NA[/C][C]0.255083[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]83.61[/C][C]NA[/C][C]NA[/C][C]0.265583[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]83.85[/C][C]NA[/C][C]NA[/C][C]0.0781667[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]84.08[/C][C]NA[/C][C]NA[/C][C]0.107833[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]84.56[/C][C]84.0309[/C][C]83.9179[/C][C]0.113[/C][C]0.529083[/C][/ROW]
[ROW][C]8[/C][C]84.65[/C][C]84.5789[/C][C]84.6221[/C][C]-0.0431667[/C][C]0.0710833[/C][/ROW]
[ROW][C]9[/C][C]85.41[/C][C]85.0525[/C][C]85.2558[/C][C]-0.203333[/C][C]0.3575[/C][/ROW]
[ROW][C]10[/C][C]85.75[/C][C]85.4496[/C][C]85.7192[/C][C]-0.269583[/C][C]0.300417[/C][/ROW]
[ROW][C]11[/C][C]86.21[/C][C]85.7033[/C][C]86.0983[/C][C]-0.395[/C][C]0.506667[/C][/ROW]
[ROW][C]12[/C][C]86.38[/C][C]86.3383[/C][C]86.4742[/C][C]-0.135833[/C][C]0.0416667[/C][/ROW]
[ROW][C]13[/C][C]86.65[/C][C]86.8853[/C][C]86.8346[/C][C]0.0506667[/C][C]-0.23525[/C][/ROW]
[ROW][C]14[/C][C]87.3[/C][C]87.3574[/C][C]87.1808[/C][C]0.176583[/C][C]-0.0574167[/C][/ROW]
[ROW][C]15[/C][C]87.87[/C][C]87.7551[/C][C]87.5[/C][C]0.255083[/C][C]0.114917[/C][/ROW]
[ROW][C]16[/C][C]88.23[/C][C]88.0535[/C][C]87.7879[/C][C]0.265583[/C][C]0.1765[/C][/ROW]
[ROW][C]17[/C][C]88.33[/C][C]88.1419[/C][C]88.0638[/C][C]0.0781667[/C][C]0.188083[/C][/ROW]
[ROW][C]18[/C][C]88.62[/C][C]88.4399[/C][C]88.3321[/C][C]0.107833[/C][C]0.180083[/C][/ROW]
[ROW][C]19[/C][C]88.67[/C][C]88.7363[/C][C]88.6233[/C][C]0.113[/C][C]-0.0663333[/C][/ROW]
[ROW][C]20[/C][C]88.85[/C][C]88.8635[/C][C]88.9067[/C][C]-0.0431667[/C][C]-0.0135[/C][/ROW]
[ROW][C]21[/C][C]88.87[/C][C]88.98[/C][C]89.1833[/C][C]-0.203333[/C][C]-0.11[/C][/ROW]
[ROW][C]22[/C][C]89.2[/C][C]89.2229[/C][C]89.4925[/C][C]-0.269583[/C][C]-0.0229167[/C][/ROW]
[ROW][C]23[/C][C]89.38[/C][C]89.42[/C][C]89.815[/C][C]-0.395[/C][C]-0.04[/C][/ROW]
[ROW][C]24[/C][C]89.65[/C][C]89.9946[/C][C]90.1304[/C][C]-0.135833[/C][C]-0.344583[/C][/ROW]
[ROW][C]25[/C][C]90.37[/C][C]90.4994[/C][C]90.4487[/C][C]0.0506667[/C][C]-0.129417[/C][/ROW]
[ROW][C]26[/C][C]90.38[/C][C]90.9683[/C][C]90.7917[/C][C]0.176583[/C][C]-0.58825[/C][/ROW]
[ROW][C]27[/C][C]91.43[/C][C]91.4042[/C][C]91.1492[/C][C]0.255083[/C][C]0.02575[/C][/ROW]
[ROW][C]28[/C][C]92.09[/C][C]91.7698[/C][C]91.5042[/C][C]0.265583[/C][C]0.32025[/C][/ROW]
[ROW][C]29[/C][C]92.21[/C][C]91.9298[/C][C]91.8517[/C][C]0.0781667[/C][C]0.280167[/C][/ROW]
[ROW][C]30[/C][C]92.31[/C][C]92.3853[/C][C]92.2775[/C][C]0.107833[/C][C]-0.0753333[/C][/ROW]
[ROW][C]31[/C][C]92.62[/C][C]92.933[/C][C]92.82[/C][C]0.113[/C][C]-0.313[/C][/ROW]
[ROW][C]32[/C][C]93.13[/C][C]93.3831[/C][C]93.4263[/C][C]-0.0431667[/C][C]-0.253083[/C][/ROW]
[ROW][C]33[/C][C]93.17[/C][C]93.8154[/C][C]94.0188[/C][C]-0.203333[/C][C]-0.645417[/C][/ROW]
[ROW][C]34[/C][C]93.42[/C][C]94.2783[/C][C]94.5479[/C][C]-0.269583[/C][C]-0.858333[/C][/ROW]
[ROW][C]35[/C][C]93.5[/C][C]94.6608[/C][C]95.0558[/C][C]-0.395[/C][C]-1.16083[/C][/ROW]
[ROW][C]36[/C][C]95.75[/C][C]95.4267[/C][C]95.5625[/C][C]-0.135833[/C][C]0.323333[/C][/ROW]
[ROW][C]37[/C][C]97.29[/C][C]96.1082[/C][C]96.0575[/C][C]0.0506667[/C][C]1.18183[/C][/ROW]
[ROW][C]38[/C][C]98.01[/C][C]96.7078[/C][C]96.5313[/C][C]0.176583[/C][C]1.30217[/C][/ROW]
[ROW][C]39[/C][C]98.02[/C][C]97.2572[/C][C]97.0021[/C][C]0.255083[/C][C]0.762833[/C][/ROW]
[ROW][C]40[/C][C]98.2[/C][C]97.7406[/C][C]97.475[/C][C]0.265583[/C][C]0.459417[/C][/ROW]
[ROW][C]41[/C][C]98.29[/C][C]98.0294[/C][C]97.9513[/C][C]0.0781667[/C][C]0.260583[/C][/ROW]
[ROW][C]42[/C][C]98.39[/C][C]98.4508[/C][C]98.3429[/C][C]0.107833[/C][C]-0.06075[/C][/ROW]
[ROW][C]43[/C][C]98.42[/C][C]98.6913[/C][C]98.5783[/C][C]0.113[/C][C]-0.271333[/C][/ROW]
[ROW][C]44[/C][C]98.7[/C][C]98.6835[/C][C]98.7267[/C][C]-0.0431667[/C][C]0.0165[/C][/ROW]
[ROW][C]45[/C][C]98.9[/C][C]98.6633[/C][C]98.8667[/C][C]-0.203333[/C][C]0.236667[/C][/ROW]
[ROW][C]46[/C][C]99.04[/C][C]98.7458[/C][C]99.0154[/C][C]-0.269583[/C][C]0.294167[/C][/ROW]
[ROW][C]47[/C][C]99.31[/C][C]98.7754[/C][C]99.1704[/C][C]-0.395[/C][C]0.534583[/C][/ROW]
[ROW][C]48[/C][C]99.34[/C][C]99.2163[/C][C]99.3521[/C][C]-0.135833[/C][C]0.12375[/C][/ROW]
[ROW][C]49[/C][C]99.35[/C][C]99.6148[/C][C]99.5642[/C][C]0.0506667[/C][C]-0.264833[/C][/ROW]
[ROW][C]50[/C][C]99.51[/C][C]99.9633[/C][C]99.7867[/C][C]0.176583[/C][C]-0.45325[/C][/ROW]
[ROW][C]51[/C][C]99.88[/C][C]100.253[/C][C]99.9979[/C][C]0.255083[/C][C]-0.373[/C][/ROW]
[ROW][C]52[/C][C]99.91[/C][C]100.476[/C][C]100.211[/C][C]0.265583[/C][C]-0.566417[/C][/ROW]
[ROW][C]53[/C][C]100.3[/C][C]100.498[/C][C]100.42[/C][C]0.0781667[/C][C]-0.19775[/C][/ROW]
[ROW][C]54[/C][C]100.74[/C][C]100.732[/C][C]100.625[/C][C]0.107833[/C][C]0.00758333[/C][/ROW]
[ROW][C]55[/C][C]101.16[/C][C]100.951[/C][C]100.838[/C][C]0.113[/C][C]0.208667[/C][/ROW]
[ROW][C]56[/C][C]101.3[/C][C]101.034[/C][C]101.077[/C][C]-0.0431667[/C][C]0.266083[/C][/ROW]
[ROW][C]57[/C][C]101.37[/C][C]101.122[/C][C]101.325[/C][C]-0.203333[/C][C]0.248333[/C][/ROW]
[ROW][C]58[/C][C]101.68[/C][C]101.306[/C][C]101.576[/C][C]-0.269583[/C][C]0.37375[/C][/ROW]
[ROW][C]59[/C][C]101.68[/C][C]101.433[/C][C]101.828[/C][C]-0.395[/C][C]0.246667[/C][/ROW]
[ROW][C]60[/C][C]101.89[/C][C]101.947[/C][C]102.083[/C][C]-0.135833[/C][C]-0.0570833[/C][/ROW]
[ROW][C]61[/C][C]101.93[/C][C]102.395[/C][C]102.345[/C][C]0.0506667[/C][C]-0.46525[/C][/ROW]
[ROW][C]62[/C][C]102.66[/C][C]102.776[/C][C]102.6[/C][C]0.176583[/C][C]-0.116167[/C][/ROW]
[ROW][C]63[/C][C]102.68[/C][C]103.123[/C][C]102.868[/C][C]0.255083[/C][C]-0.443417[/C][/ROW]
[ROW][C]64[/C][C]103.13[/C][C]103.433[/C][C]103.167[/C][C]0.265583[/C][C]-0.302667[/C][/ROW]
[ROW][C]65[/C][C]103.14[/C][C]103.584[/C][C]103.506[/C][C]0.0781667[/C][C]-0.444[/C][/ROW]
[ROW][C]66[/C][C]104.01[/C][C]103.974[/C][C]103.867[/C][C]0.107833[/C][C]0.0355[/C][/ROW]
[ROW][C]67[/C][C]104.17[/C][C]NA[/C][C]NA[/C][C]0.113[/C][C]NA[/C][/ROW]
[ROW][C]68[/C][C]104.41[/C][C]NA[/C][C]NA[/C][C]-0.0431667[/C][C]NA[/C][/ROW]
[ROW][C]69[/C][C]104.71[/C][C]NA[/C][C]NA[/C][C]-0.203333[/C][C]NA[/C][/ROW]
[ROW][C]70[/C][C]105.51[/C][C]NA[/C][C]NA[/C][C]-0.269583[/C][C]NA[/C][/ROW]
[ROW][C]71[/C][C]105.98[/C][C]NA[/C][C]NA[/C][C]-0.395[/C][C]NA[/C][/ROW]
[ROW][C]72[/C][C]106.25[/C][C]NA[/C][C]NA[/C][C]-0.135833[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&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	78.46	NA	NA	0.0506667	NA
2	78.59	NA	NA	0.176583	NA
3	81.37	NA	NA	0.255083	NA
4	83.61	NA	NA	0.265583	NA
5	83.85	NA	NA	0.0781667	NA
6	84.08	NA	NA	0.107833	NA
7	84.56	84.0309	83.9179	0.113	0.529083
8	84.65	84.5789	84.6221	-0.0431667	0.0710833
9	85.41	85.0525	85.2558	-0.203333	0.3575
10	85.75	85.4496	85.7192	-0.269583	0.300417
11	86.21	85.7033	86.0983	-0.395	0.506667
12	86.38	86.3383	86.4742	-0.135833	0.0416667
13	86.65	86.8853	86.8346	0.0506667	-0.23525
14	87.3	87.3574	87.1808	0.176583	-0.0574167
15	87.87	87.7551	87.5	0.255083	0.114917
16	88.23	88.0535	87.7879	0.265583	0.1765
17	88.33	88.1419	88.0638	0.0781667	0.188083
18	88.62	88.4399	88.3321	0.107833	0.180083
19	88.67	88.7363	88.6233	0.113	-0.0663333
20	88.85	88.8635	88.9067	-0.0431667	-0.0135
21	88.87	88.98	89.1833	-0.203333	-0.11
22	89.2	89.2229	89.4925	-0.269583	-0.0229167
23	89.38	89.42	89.815	-0.395	-0.04
24	89.65	89.9946	90.1304	-0.135833	-0.344583
25	90.37	90.4994	90.4487	0.0506667	-0.129417
26	90.38	90.9683	90.7917	0.176583	-0.58825
27	91.43	91.4042	91.1492	0.255083	0.02575
28	92.09	91.7698	91.5042	0.265583	0.32025
29	92.21	91.9298	91.8517	0.0781667	0.280167
30	92.31	92.3853	92.2775	0.107833	-0.0753333
31	92.62	92.933	92.82	0.113	-0.313
32	93.13	93.3831	93.4263	-0.0431667	-0.253083
33	93.17	93.8154	94.0188	-0.203333	-0.645417
34	93.42	94.2783	94.5479	-0.269583	-0.858333
35	93.5	94.6608	95.0558	-0.395	-1.16083
36	95.75	95.4267	95.5625	-0.135833	0.323333
37	97.29	96.1082	96.0575	0.0506667	1.18183
38	98.01	96.7078	96.5313	0.176583	1.30217
39	98.02	97.2572	97.0021	0.255083	0.762833
40	98.2	97.7406	97.475	0.265583	0.459417
41	98.29	98.0294	97.9513	0.0781667	0.260583
42	98.39	98.4508	98.3429	0.107833	-0.06075
43	98.42	98.6913	98.5783	0.113	-0.271333
44	98.7	98.6835	98.7267	-0.0431667	0.0165
45	98.9	98.6633	98.8667	-0.203333	0.236667
46	99.04	98.7458	99.0154	-0.269583	0.294167
47	99.31	98.7754	99.1704	-0.395	0.534583
48	99.34	99.2163	99.3521	-0.135833	0.12375
49	99.35	99.6148	99.5642	0.0506667	-0.264833
50	99.51	99.9633	99.7867	0.176583	-0.45325
51	99.88	100.253	99.9979	0.255083	-0.373
52	99.91	100.476	100.211	0.265583	-0.566417
53	100.3	100.498	100.42	0.0781667	-0.19775
54	100.74	100.732	100.625	0.107833	0.00758333
55	101.16	100.951	100.838	0.113	0.208667
56	101.3	101.034	101.077	-0.0431667	0.266083
57	101.37	101.122	101.325	-0.203333	0.248333
58	101.68	101.306	101.576	-0.269583	0.37375
59	101.68	101.433	101.828	-0.395	0.246667
60	101.89	101.947	102.083	-0.135833	-0.0570833
61	101.93	102.395	102.345	0.0506667	-0.46525
62	102.66	102.776	102.6	0.176583	-0.116167
63	102.68	103.123	102.868	0.255083	-0.443417
64	103.13	103.433	103.167	0.265583	-0.302667
65	103.14	103.584	103.506	0.0781667	-0.444
66	104.01	103.974	103.867	0.107833	0.0355
67	104.17	NA	NA	0.113	NA
68	104.41	NA	NA	-0.0431667	NA
69	104.71	NA	NA	-0.203333	NA
70	105.51	NA	NA	-0.269583	NA
71	105.98	NA	NA	-0.395	NA
72	106.25	NA	NA	-0.135833	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 = additive ; par2 = 12 ;

Parameters (R input):

par1 = additive ; 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$trend)) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
if (par1 == 'additive') a<-table.element(a,signif(m$trend[i]+m$seasonal[i],6)) else a<-table.element(a,signif(m$trend[i]*m$seasonal[i],6))
a<-table.element(a,signif(m$trend[i],6))
a<-table.element(a,signif(m$seasonal[i],6))
a<-table.element(a,signif(m$random[i],6))
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