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

Thu, 10 Aug 2017 12:17:49 +0200

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/2017/Aug/10/t1502360302z7hf1khuxiiwtcx.htm/, Retrieved Sun, 19 May 2024 01:18:44 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=307077, Retrieved Sun, 19 May 2024 01:18:44 +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

112

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

-       [Classical Decomposition] [] [2017-08-10 10:17:49] [ad161bcd2bdcbffd0567a2be7a0bbb46] [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	2 seconds
R Server	Big Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time2 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=307077&T=0

[TABLE]
[ROW]

Summary of computational transaction[/C][/ROW] [ROW]

Raw Input[/C]

view raw input (R code) [/C][/ROW] [ROW]

Raw Output[/C]

view raw output of R engine [/C][/ROW] [ROW]

Computing time[/C]

2 seconds[/C][/ROW] [ROW]

R Server[/C]

Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=307077&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=307077&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	Big Analytics Cloud Computing Center

Classical Decomposition by Moving Averages
t	Observations	Fit	Trend	Seasonal	Random
1	59.4	NA	NA	7.47799	NA
2	57.2	NA	NA	-10.523	NA
3	60.5	NA	NA	-12.0527	NA
4	48.4	NA	NA	-23.0069	NA
5	62.7	NA	NA	-5.92826	NA
6	61.6	NA	NA	-7.87044	NA
7	66	72.653	64.1667	8.48633	-6.65299
8	68.2	69.9145	64.1208	5.79362	-1.71445
9	75.9	61.7618	63.7083	-1.94648	14.1382
10	66	74.7384	63.4333	11.3051	-8.73841
11	62.7	66.2421	63.2042	3.03789	-3.54206
12	78.1	87.927	62.7	25.227	-9.82695
13	66	69.7655	62.2875	7.47799	-3.76549
14	49.5	51.4895	62.0125	-10.523	-1.98945
15	58.3	49.1348	61.1875	-12.0527	9.16523
16	44	37.9056	60.9125	-23.0069	6.0944
17	61.6	55.5342	61.4625	-5.92826	6.06576
18	50.6	54.1421	62.0125	-7.87044	-3.54206
19	67.1	70.4988	62.0125	8.48633	-3.39883
20	60.5	67.6228	61.8292	5.79362	-7.12279
21	63.8	59.8368	61.7833	-1.94648	3.96315
22	71.5	72.8592	61.5542	11.3051	-1.35924
23	70.4	64.3171	61.2792	3.03789	6.08294
24	83.6	86.1395	60.9125	25.227	-2.53945
25	60.5	68.0238	60.5458	7.47799	-7.52383
26	50.6	49.8853	60.4083	-10.523	0.714714
27	56.1	47.9431	59.9958	-12.0527	8.1569
28	40.7	36.8056	59.8125	-23.0069	3.8944
29	58.3	54.0676	59.9958	-5.92826	4.23242
30	45.1	51.8962	59.7667	-7.87044	-6.79622
31	63.8	68.0238	59.5375	8.48633	-4.22383
32	60.5	65.4686	59.675	5.79362	-4.96862
33	53.9	57.6368	59.5833	-1.94648	-3.73685
34	77	70.6134	59.3083	11.3051	6.38659
35	69.3	62.1629	59.125	3.03789	7.13711
36	79.2	84.3061	59.0792	25.227	-5.10612
37	59.4	66.7863	59.3083	7.47799	-7.38633
38	55	49.0145	59.5375	-10.523	5.98555
39	49.5	47.6681	59.7208	-12.0527	1.8319
40	40.7	36.6223	59.6292	-23.0069	4.07773
41	53.9	53.5176	59.4458	-5.92826	0.382422
42	48.4	51.8962	59.7667	-7.87044	-3.49622
43	66	69.078	60.5917	8.48633	-3.07799
44	63.8	66.3395	60.5458	5.79362	-2.53945
45	55	57.8202	59.7667	-1.94648	-2.82018
46	73.7	70.8884	59.5833	11.3051	2.81159
47	68.2	62.5754	59.5375	3.03789	5.62461
48	88	84.7186	59.4917	25.227	3.28138
49	70.4	67.153	59.675	7.47799	3.24701
50	42.9	49.1978	59.7208	-10.523	-6.29779
51	42.9	47.6681	59.7208	-12.0527	-4.7681
52	42.9	36.6223	59.6292	-23.0069	6.27773
53	50.6	53.4259	59.3542	-5.92826	-2.82591
54	50.6	51.5754	59.4458	-7.87044	-0.975391
55	68.2	68.2988	59.8125	8.48633	-0.0988281
56	62.7	65.7436	59.95	5.79362	-3.04362
57	56.1	58.0952	60.0417	-1.94648	-1.99518
58	70.4	71.2092	59.9042	11.3051	-0.809245
59	64.9	62.7587	59.7208	3.03789	2.14128
60	93.5	85.3603	60.1333	25.227	8.13971
61	73.7	68.253	60.775	7.47799	5.44701
62	42.9	50.9853	61.5083	-10.523	-8.08529
63	45.1	50.0514	62.1042	-12.0527	-4.95143
64	37.4	39.1889	62.1958	-23.0069	-1.78893
65	51.7	56.0842	62.0125	-5.92826	-4.38424
66	59.4	53.7754	61.6458	-7.87044	5.62461
67	74.8	69.628	61.1417	8.48633	5.17201
68	73.7	67.1186	61.325	5.79362	6.58138
69	59.4	59.9743	61.9208	-1.94648	-0.574349
70	69.3	73.3176	62.0125	11.3051	-4.01758
71	61.6	65.0962	62.0583	3.03789	-3.49622
72	88	87.6061	62.3792	25.227	0.39388
73	67.1	70.1322	62.6542	7.47799	-3.03216
74	53.9	52.0853	62.6083	-10.523	1.81471
75	48.4	50.1889	62.2417	-12.0527	-1.78893
76	36.3	39.2348	62.2417	-23.0069	-2.93477
77	53.9	56.4967	62.425	-5.92826	-2.59674
78	64.9	54.6004	62.4708	-7.87044	10.2996
79	75.9	71.4613	62.975	8.48633	4.43867
80	71.5	69.1811	63.3875	5.79362	2.31888
81	52.8	61.5785	63.525	-1.94648	-8.77852
82	75.9	74.8301	63.525	11.3051	1.06992
83	59.4	66.4712	63.4333	3.03789	-7.07122
84	91.3	88.1103	62.8833	25.227	3.18971
85	75.9	69.903	62.425	7.47799	5.99701
86	55	52.2686	62.7917	-10.523	2.73138
87	50.6	51.2889	63.3417	-12.0527	-0.688932
88	34.1	40.6556	63.6625	-23.0069	-6.5556
89	53.9	57.6884	63.6167	-5.92826	-3.78841
90	51.7	55.5629	63.4333	-7.87044	-3.86289
91	78.1	71.828	63.3417	8.48633	6.27201
92	78.1	69.1811	63.3875	5.79362	8.91888
93	59.4	61.166	63.1125	-1.94648	-1.76602
94	77	73.9134	62.6083	11.3051	3.08659
95	57.2	65.6462	62.6083	3.03789	-8.44622
96	89.1	88.202	62.975	25.227	0.898047
97	75.9	70.453	62.975	7.47799	5.44701
98	56.1	52.5436	63.0667	-10.523	3.55638
99	42.9	51.4264	63.4792	-12.0527	-8.52643
100	29.7	40.3348	63.3417	-23.0069	-10.6348
101	58.3	56.9551	62.8833	-5.92826	1.34492
102	56.1	54.9212	62.7917	-7.87044	1.17878
103	73.7	NA	NA	8.48633	NA
104	84.7	NA	NA	5.79362	NA
105	62.7	NA	NA	-1.94648	NA
106	70.4	NA	NA	11.3051	NA
107	52.8	NA	NA	3.03789	NA
108	91.3	NA	NA	25.227	NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 59.4 & NA & NA & 7.47799 & NA \tabularnewline
2 & 57.2 & NA & NA & -10.523 & NA \tabularnewline
3 & 60.5 & NA & NA & -12.0527 & NA \tabularnewline
4 & 48.4 & NA & NA & -23.0069 & NA \tabularnewline
5 & 62.7 & NA & NA & -5.92826 & NA \tabularnewline
6 & 61.6 & NA & NA & -7.87044 & NA \tabularnewline
7 & 66 & 72.653 & 64.1667 & 8.48633 & -6.65299 \tabularnewline
8 & 68.2 & 69.9145 & 64.1208 & 5.79362 & -1.71445 \tabularnewline
9 & 75.9 & 61.7618 & 63.7083 & -1.94648 & 14.1382 \tabularnewline
10 & 66 & 74.7384 & 63.4333 & 11.3051 & -8.73841 \tabularnewline
11 & 62.7 & 66.2421 & 63.2042 & 3.03789 & -3.54206 \tabularnewline
12 & 78.1 & 87.927 & 62.7 & 25.227 & -9.82695 \tabularnewline
13 & 66 & 69.7655 & 62.2875 & 7.47799 & -3.76549 \tabularnewline
14 & 49.5 & 51.4895 & 62.0125 & -10.523 & -1.98945 \tabularnewline
15 & 58.3 & 49.1348 & 61.1875 & -12.0527 & 9.16523 \tabularnewline
16 & 44 & 37.9056 & 60.9125 & -23.0069 & 6.0944 \tabularnewline
17 & 61.6 & 55.5342 & 61.4625 & -5.92826 & 6.06576 \tabularnewline
18 & 50.6 & 54.1421 & 62.0125 & -7.87044 & -3.54206 \tabularnewline
19 & 67.1 & 70.4988 & 62.0125 & 8.48633 & -3.39883 \tabularnewline
20 & 60.5 & 67.6228 & 61.8292 & 5.79362 & -7.12279 \tabularnewline
21 & 63.8 & 59.8368 & 61.7833 & -1.94648 & 3.96315 \tabularnewline
22 & 71.5 & 72.8592 & 61.5542 & 11.3051 & -1.35924 \tabularnewline
23 & 70.4 & 64.3171 & 61.2792 & 3.03789 & 6.08294 \tabularnewline
24 & 83.6 & 86.1395 & 60.9125 & 25.227 & -2.53945 \tabularnewline
25 & 60.5 & 68.0238 & 60.5458 & 7.47799 & -7.52383 \tabularnewline
26 & 50.6 & 49.8853 & 60.4083 & -10.523 & 0.714714 \tabularnewline
27 & 56.1 & 47.9431 & 59.9958 & -12.0527 & 8.1569 \tabularnewline
28 & 40.7 & 36.8056 & 59.8125 & -23.0069 & 3.8944 \tabularnewline
29 & 58.3 & 54.0676 & 59.9958 & -5.92826 & 4.23242 \tabularnewline
30 & 45.1 & 51.8962 & 59.7667 & -7.87044 & -6.79622 \tabularnewline
31 & 63.8 & 68.0238 & 59.5375 & 8.48633 & -4.22383 \tabularnewline
32 & 60.5 & 65.4686 & 59.675 & 5.79362 & -4.96862 \tabularnewline
33 & 53.9 & 57.6368 & 59.5833 & -1.94648 & -3.73685 \tabularnewline
34 & 77 & 70.6134 & 59.3083 & 11.3051 & 6.38659 \tabularnewline
35 & 69.3 & 62.1629 & 59.125 & 3.03789 & 7.13711 \tabularnewline
36 & 79.2 & 84.3061 & 59.0792 & 25.227 & -5.10612 \tabularnewline
37 & 59.4 & 66.7863 & 59.3083 & 7.47799 & -7.38633 \tabularnewline
38 & 55 & 49.0145 & 59.5375 & -10.523 & 5.98555 \tabularnewline
39 & 49.5 & 47.6681 & 59.7208 & -12.0527 & 1.8319 \tabularnewline
40 & 40.7 & 36.6223 & 59.6292 & -23.0069 & 4.07773 \tabularnewline
41 & 53.9 & 53.5176 & 59.4458 & -5.92826 & 0.382422 \tabularnewline
42 & 48.4 & 51.8962 & 59.7667 & -7.87044 & -3.49622 \tabularnewline
43 & 66 & 69.078 & 60.5917 & 8.48633 & -3.07799 \tabularnewline
44 & 63.8 & 66.3395 & 60.5458 & 5.79362 & -2.53945 \tabularnewline
45 & 55 & 57.8202 & 59.7667 & -1.94648 & -2.82018 \tabularnewline
46 & 73.7 & 70.8884 & 59.5833 & 11.3051 & 2.81159 \tabularnewline
47 & 68.2 & 62.5754 & 59.5375 & 3.03789 & 5.62461 \tabularnewline
48 & 88 & 84.7186 & 59.4917 & 25.227 & 3.28138 \tabularnewline
49 & 70.4 & 67.153 & 59.675 & 7.47799 & 3.24701 \tabularnewline
50 & 42.9 & 49.1978 & 59.7208 & -10.523 & -6.29779 \tabularnewline
51 & 42.9 & 47.6681 & 59.7208 & -12.0527 & -4.7681 \tabularnewline
52 & 42.9 & 36.6223 & 59.6292 & -23.0069 & 6.27773 \tabularnewline
53 & 50.6 & 53.4259 & 59.3542 & -5.92826 & -2.82591 \tabularnewline
54 & 50.6 & 51.5754 & 59.4458 & -7.87044 & -0.975391 \tabularnewline
55 & 68.2 & 68.2988 & 59.8125 & 8.48633 & -0.0988281 \tabularnewline
56 & 62.7 & 65.7436 & 59.95 & 5.79362 & -3.04362 \tabularnewline
57 & 56.1 & 58.0952 & 60.0417 & -1.94648 & -1.99518 \tabularnewline
58 & 70.4 & 71.2092 & 59.9042 & 11.3051 & -0.809245 \tabularnewline
59 & 64.9 & 62.7587 & 59.7208 & 3.03789 & 2.14128 \tabularnewline
60 & 93.5 & 85.3603 & 60.1333 & 25.227 & 8.13971 \tabularnewline
61 & 73.7 & 68.253 & 60.775 & 7.47799 & 5.44701 \tabularnewline
62 & 42.9 & 50.9853 & 61.5083 & -10.523 & -8.08529 \tabularnewline
63 & 45.1 & 50.0514 & 62.1042 & -12.0527 & -4.95143 \tabularnewline
64 & 37.4 & 39.1889 & 62.1958 & -23.0069 & -1.78893 \tabularnewline
65 & 51.7 & 56.0842 & 62.0125 & -5.92826 & -4.38424 \tabularnewline
66 & 59.4 & 53.7754 & 61.6458 & -7.87044 & 5.62461 \tabularnewline
67 & 74.8 & 69.628 & 61.1417 & 8.48633 & 5.17201 \tabularnewline
68 & 73.7 & 67.1186 & 61.325 & 5.79362 & 6.58138 \tabularnewline
69 & 59.4 & 59.9743 & 61.9208 & -1.94648 & -0.574349 \tabularnewline
70 & 69.3 & 73.3176 & 62.0125 & 11.3051 & -4.01758 \tabularnewline
71 & 61.6 & 65.0962 & 62.0583 & 3.03789 & -3.49622 \tabularnewline
72 & 88 & 87.6061 & 62.3792 & 25.227 & 0.39388 \tabularnewline
73 & 67.1 & 70.1322 & 62.6542 & 7.47799 & -3.03216 \tabularnewline
74 & 53.9 & 52.0853 & 62.6083 & -10.523 & 1.81471 \tabularnewline
75 & 48.4 & 50.1889 & 62.2417 & -12.0527 & -1.78893 \tabularnewline
76 & 36.3 & 39.2348 & 62.2417 & -23.0069 & -2.93477 \tabularnewline
77 & 53.9 & 56.4967 & 62.425 & -5.92826 & -2.59674 \tabularnewline
78 & 64.9 & 54.6004 & 62.4708 & -7.87044 & 10.2996 \tabularnewline
79 & 75.9 & 71.4613 & 62.975 & 8.48633 & 4.43867 \tabularnewline
80 & 71.5 & 69.1811 & 63.3875 & 5.79362 & 2.31888 \tabularnewline
81 & 52.8 & 61.5785 & 63.525 & -1.94648 & -8.77852 \tabularnewline
82 & 75.9 & 74.8301 & 63.525 & 11.3051 & 1.06992 \tabularnewline
83 & 59.4 & 66.4712 & 63.4333 & 3.03789 & -7.07122 \tabularnewline
84 & 91.3 & 88.1103 & 62.8833 & 25.227 & 3.18971 \tabularnewline
85 & 75.9 & 69.903 & 62.425 & 7.47799 & 5.99701 \tabularnewline
86 & 55 & 52.2686 & 62.7917 & -10.523 & 2.73138 \tabularnewline
87 & 50.6 & 51.2889 & 63.3417 & -12.0527 & -0.688932 \tabularnewline
88 & 34.1 & 40.6556 & 63.6625 & -23.0069 & -6.5556 \tabularnewline
89 & 53.9 & 57.6884 & 63.6167 & -5.92826 & -3.78841 \tabularnewline
90 & 51.7 & 55.5629 & 63.4333 & -7.87044 & -3.86289 \tabularnewline
91 & 78.1 & 71.828 & 63.3417 & 8.48633 & 6.27201 \tabularnewline
92 & 78.1 & 69.1811 & 63.3875 & 5.79362 & 8.91888 \tabularnewline
93 & 59.4 & 61.166 & 63.1125 & -1.94648 & -1.76602 \tabularnewline
94 & 77 & 73.9134 & 62.6083 & 11.3051 & 3.08659 \tabularnewline
95 & 57.2 & 65.6462 & 62.6083 & 3.03789 & -8.44622 \tabularnewline
96 & 89.1 & 88.202 & 62.975 & 25.227 & 0.898047 \tabularnewline
97 & 75.9 & 70.453 & 62.975 & 7.47799 & 5.44701 \tabularnewline
98 & 56.1 & 52.5436 & 63.0667 & -10.523 & 3.55638 \tabularnewline
99 & 42.9 & 51.4264 & 63.4792 & -12.0527 & -8.52643 \tabularnewline
100 & 29.7 & 40.3348 & 63.3417 & -23.0069 & -10.6348 \tabularnewline
101 & 58.3 & 56.9551 & 62.8833 & -5.92826 & 1.34492 \tabularnewline
102 & 56.1 & 54.9212 & 62.7917 & -7.87044 & 1.17878 \tabularnewline
103 & 73.7 & NA & NA & 8.48633 & NA \tabularnewline
104 & 84.7 & NA & NA & 5.79362 & NA \tabularnewline
105 & 62.7 & NA & NA & -1.94648 & NA \tabularnewline
106 & 70.4 & NA & NA & 11.3051 & NA \tabularnewline
107 & 52.8 & NA & NA & 3.03789 & NA \tabularnewline
108 & 91.3 & NA & NA & 25.227 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=307077&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]59.4[/C][C]NA[/C][C]NA[/C][C]7.47799[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]57.2[/C][C]NA[/C][C]NA[/C][C]-10.523[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]60.5[/C][C]NA[/C][C]NA[/C][C]-12.0527[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]48.4[/C][C]NA[/C][C]NA[/C][C]-23.0069[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]62.7[/C][C]NA[/C][C]NA[/C][C]-5.92826[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]61.6[/C][C]NA[/C][C]NA[/C][C]-7.87044[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]66[/C][C]72.653[/C][C]64.1667[/C][C]8.48633[/C][C]-6.65299[/C][/ROW]
[ROW][C]8[/C][C]68.2[/C][C]69.9145[/C][C]64.1208[/C][C]5.79362[/C][C]-1.71445[/C][/ROW]
[ROW][C]9[/C][C]75.9[/C][C]61.7618[/C][C]63.7083[/C][C]-1.94648[/C][C]14.1382[/C][/ROW]
[ROW][C]10[/C][C]66[/C][C]74.7384[/C][C]63.4333[/C][C]11.3051[/C][C]-8.73841[/C][/ROW]
[ROW][C]11[/C][C]62.7[/C][C]66.2421[/C][C]63.2042[/C][C]3.03789[/C][C]-3.54206[/C][/ROW]
[ROW][C]12[/C][C]78.1[/C][C]87.927[/C][C]62.7[/C][C]25.227[/C][C]-9.82695[/C][/ROW]
[ROW][C]13[/C][C]66[/C][C]69.7655[/C][C]62.2875[/C][C]7.47799[/C][C]-3.76549[/C][/ROW]
[ROW][C]14[/C][C]49.5[/C][C]51.4895[/C][C]62.0125[/C][C]-10.523[/C][C]-1.98945[/C][/ROW]
[ROW][C]15[/C][C]58.3[/C][C]49.1348[/C][C]61.1875[/C][C]-12.0527[/C][C]9.16523[/C][/ROW]
[ROW][C]16[/C][C]44[/C][C]37.9056[/C][C]60.9125[/C][C]-23.0069[/C][C]6.0944[/C][/ROW]
[ROW][C]17[/C][C]61.6[/C][C]55.5342[/C][C]61.4625[/C][C]-5.92826[/C][C]6.06576[/C][/ROW]
[ROW][C]18[/C][C]50.6[/C][C]54.1421[/C][C]62.0125[/C][C]-7.87044[/C][C]-3.54206[/C][/ROW]
[ROW][C]19[/C][C]67.1[/C][C]70.4988[/C][C]62.0125[/C][C]8.48633[/C][C]-3.39883[/C][/ROW]
[ROW][C]20[/C][C]60.5[/C][C]67.6228[/C][C]61.8292[/C][C]5.79362[/C][C]-7.12279[/C][/ROW]
[ROW][C]21[/C][C]63.8[/C][C]59.8368[/C][C]61.7833[/C][C]-1.94648[/C][C]3.96315[/C][/ROW]
[ROW][C]22[/C][C]71.5[/C][C]72.8592[/C][C]61.5542[/C][C]11.3051[/C][C]-1.35924[/C][/ROW]
[ROW][C]23[/C][C]70.4[/C][C]64.3171[/C][C]61.2792[/C][C]3.03789[/C][C]6.08294[/C][/ROW]
[ROW][C]24[/C][C]83.6[/C][C]86.1395[/C][C]60.9125[/C][C]25.227[/C][C]-2.53945[/C][/ROW]
[ROW][C]25[/C][C]60.5[/C][C]68.0238[/C][C]60.5458[/C][C]7.47799[/C][C]-7.52383[/C][/ROW]
[ROW][C]26[/C][C]50.6[/C][C]49.8853[/C][C]60.4083[/C][C]-10.523[/C][C]0.714714[/C][/ROW]
[ROW][C]27[/C][C]56.1[/C][C]47.9431[/C][C]59.9958[/C][C]-12.0527[/C][C]8.1569[/C][/ROW]
[ROW][C]28[/C][C]40.7[/C][C]36.8056[/C][C]59.8125[/C][C]-23.0069[/C][C]3.8944[/C][/ROW]
[ROW][C]29[/C][C]58.3[/C][C]54.0676[/C][C]59.9958[/C][C]-5.92826[/C][C]4.23242[/C][/ROW]
[ROW][C]30[/C][C]45.1[/C][C]51.8962[/C][C]59.7667[/C][C]-7.87044[/C][C]-6.79622[/C][/ROW]
[ROW][C]31[/C][C]63.8[/C][C]68.0238[/C][C]59.5375[/C][C]8.48633[/C][C]-4.22383[/C][/ROW]
[ROW][C]32[/C][C]60.5[/C][C]65.4686[/C][C]59.675[/C][C]5.79362[/C][C]-4.96862[/C][/ROW]
[ROW][C]33[/C][C]53.9[/C][C]57.6368[/C][C]59.5833[/C][C]-1.94648[/C][C]-3.73685[/C][/ROW]
[ROW][C]34[/C][C]77[/C][C]70.6134[/C][C]59.3083[/C][C]11.3051[/C][C]6.38659[/C][/ROW]
[ROW][C]35[/C][C]69.3[/C][C]62.1629[/C][C]59.125[/C][C]3.03789[/C][C]7.13711[/C][/ROW]
[ROW][C]36[/C][C]79.2[/C][C]84.3061[/C][C]59.0792[/C][C]25.227[/C][C]-5.10612[/C][/ROW]
[ROW][C]37[/C][C]59.4[/C][C]66.7863[/C][C]59.3083[/C][C]7.47799[/C][C]-7.38633[/C][/ROW]
[ROW][C]38[/C][C]55[/C][C]49.0145[/C][C]59.5375[/C][C]-10.523[/C][C]5.98555[/C][/ROW]
[ROW][C]39[/C][C]49.5[/C][C]47.6681[/C][C]59.7208[/C][C]-12.0527[/C][C]1.8319[/C][/ROW]
[ROW][C]40[/C][C]40.7[/C][C]36.6223[/C][C]59.6292[/C][C]-23.0069[/C][C]4.07773[/C][/ROW]
[ROW][C]41[/C][C]53.9[/C][C]53.5176[/C][C]59.4458[/C][C]-5.92826[/C][C]0.382422[/C][/ROW]
[ROW][C]42[/C][C]48.4[/C][C]51.8962[/C][C]59.7667[/C][C]-7.87044[/C][C]-3.49622[/C][/ROW]
[ROW][C]43[/C][C]66[/C][C]69.078[/C][C]60.5917[/C][C]8.48633[/C][C]-3.07799[/C][/ROW]
[ROW][C]44[/C][C]63.8[/C][C]66.3395[/C][C]60.5458[/C][C]5.79362[/C][C]-2.53945[/C][/ROW]
[ROW][C]45[/C][C]55[/C][C]57.8202[/C][C]59.7667[/C][C]-1.94648[/C][C]-2.82018[/C][/ROW]
[ROW][C]46[/C][C]73.7[/C][C]70.8884[/C][C]59.5833[/C][C]11.3051[/C][C]2.81159[/C][/ROW]
[ROW][C]47[/C][C]68.2[/C][C]62.5754[/C][C]59.5375[/C][C]3.03789[/C][C]5.62461[/C][/ROW]
[ROW][C]48[/C][C]88[/C][C]84.7186[/C][C]59.4917[/C][C]25.227[/C][C]3.28138[/C][/ROW]
[ROW][C]49[/C][C]70.4[/C][C]67.153[/C][C]59.675[/C][C]7.47799[/C][C]3.24701[/C][/ROW]
[ROW][C]50[/C][C]42.9[/C][C]49.1978[/C][C]59.7208[/C][C]-10.523[/C][C]-6.29779[/C][/ROW]
[ROW][C]51[/C][C]42.9[/C][C]47.6681[/C][C]59.7208[/C][C]-12.0527[/C][C]-4.7681[/C][/ROW]
[ROW][C]52[/C][C]42.9[/C][C]36.6223[/C][C]59.6292[/C][C]-23.0069[/C][C]6.27773[/C][/ROW]
[ROW][C]53[/C][C]50.6[/C][C]53.4259[/C][C]59.3542[/C][C]-5.92826[/C][C]-2.82591[/C][/ROW]
[ROW][C]54[/C][C]50.6[/C][C]51.5754[/C][C]59.4458[/C][C]-7.87044[/C][C]-0.975391[/C][/ROW]
[ROW][C]55[/C][C]68.2[/C][C]68.2988[/C][C]59.8125[/C][C]8.48633[/C][C]-0.0988281[/C][/ROW]
[ROW][C]56[/C][C]62.7[/C][C]65.7436[/C][C]59.95[/C][C]5.79362[/C][C]-3.04362[/C][/ROW]
[ROW][C]57[/C][C]56.1[/C][C]58.0952[/C][C]60.0417[/C][C]-1.94648[/C][C]-1.99518[/C][/ROW]
[ROW][C]58[/C][C]70.4[/C][C]71.2092[/C][C]59.9042[/C][C]11.3051[/C][C]-0.809245[/C][/ROW]
[ROW][C]59[/C][C]64.9[/C][C]62.7587[/C][C]59.7208[/C][C]3.03789[/C][C]2.14128[/C][/ROW]
[ROW][C]60[/C][C]93.5[/C][C]85.3603[/C][C]60.1333[/C][C]25.227[/C][C]8.13971[/C][/ROW]
[ROW][C]61[/C][C]73.7[/C][C]68.253[/C][C]60.775[/C][C]7.47799[/C][C]5.44701[/C][/ROW]
[ROW][C]62[/C][C]42.9[/C][C]50.9853[/C][C]61.5083[/C][C]-10.523[/C][C]-8.08529[/C][/ROW]
[ROW][C]63[/C][C]45.1[/C][C]50.0514[/C][C]62.1042[/C][C]-12.0527[/C][C]-4.95143[/C][/ROW]
[ROW][C]64[/C][C]37.4[/C][C]39.1889[/C][C]62.1958[/C][C]-23.0069[/C][C]-1.78893[/C][/ROW]
[ROW][C]65[/C][C]51.7[/C][C]56.0842[/C][C]62.0125[/C][C]-5.92826[/C][C]-4.38424[/C][/ROW]
[ROW][C]66[/C][C]59.4[/C][C]53.7754[/C][C]61.6458[/C][C]-7.87044[/C][C]5.62461[/C][/ROW]
[ROW][C]67[/C][C]74.8[/C][C]69.628[/C][C]61.1417[/C][C]8.48633[/C][C]5.17201[/C][/ROW]
[ROW][C]68[/C][C]73.7[/C][C]67.1186[/C][C]61.325[/C][C]5.79362[/C][C]6.58138[/C][/ROW]
[ROW][C]69[/C][C]59.4[/C][C]59.9743[/C][C]61.9208[/C][C]-1.94648[/C][C]-0.574349[/C][/ROW]
[ROW][C]70[/C][C]69.3[/C][C]73.3176[/C][C]62.0125[/C][C]11.3051[/C][C]-4.01758[/C][/ROW]
[ROW][C]71[/C][C]61.6[/C][C]65.0962[/C][C]62.0583[/C][C]3.03789[/C][C]-3.49622[/C][/ROW]
[ROW][C]72[/C][C]88[/C][C]87.6061[/C][C]62.3792[/C][C]25.227[/C][C]0.39388[/C][/ROW]
[ROW][C]73[/C][C]67.1[/C][C]70.1322[/C][C]62.6542[/C][C]7.47799[/C][C]-3.03216[/C][/ROW]
[ROW][C]74[/C][C]53.9[/C][C]52.0853[/C][C]62.6083[/C][C]-10.523[/C][C]1.81471[/C][/ROW]
[ROW][C]75[/C][C]48.4[/C][C]50.1889[/C][C]62.2417[/C][C]-12.0527[/C][C]-1.78893[/C][/ROW]
[ROW][C]76[/C][C]36.3[/C][C]39.2348[/C][C]62.2417[/C][C]-23.0069[/C][C]-2.93477[/C][/ROW]
[ROW][C]77[/C][C]53.9[/C][C]56.4967[/C][C]62.425[/C][C]-5.92826[/C][C]-2.59674[/C][/ROW]
[ROW][C]78[/C][C]64.9[/C][C]54.6004[/C][C]62.4708[/C][C]-7.87044[/C][C]10.2996[/C][/ROW]
[ROW][C]79[/C][C]75.9[/C][C]71.4613[/C][C]62.975[/C][C]8.48633[/C][C]4.43867[/C][/ROW]
[ROW][C]80[/C][C]71.5[/C][C]69.1811[/C][C]63.3875[/C][C]5.79362[/C][C]2.31888[/C][/ROW]
[ROW][C]81[/C][C]52.8[/C][C]61.5785[/C][C]63.525[/C][C]-1.94648[/C][C]-8.77852[/C][/ROW]
[ROW][C]82[/C][C]75.9[/C][C]74.8301[/C][C]63.525[/C][C]11.3051[/C][C]1.06992[/C][/ROW]
[ROW][C]83[/C][C]59.4[/C][C]66.4712[/C][C]63.4333[/C][C]3.03789[/C][C]-7.07122[/C][/ROW]
[ROW][C]84[/C][C]91.3[/C][C]88.1103[/C][C]62.8833[/C][C]25.227[/C][C]3.18971[/C][/ROW]
[ROW][C]85[/C][C]75.9[/C][C]69.903[/C][C]62.425[/C][C]7.47799[/C][C]5.99701[/C][/ROW]
[ROW][C]86[/C][C]55[/C][C]52.2686[/C][C]62.7917[/C][C]-10.523[/C][C]2.73138[/C][/ROW]
[ROW][C]87[/C][C]50.6[/C][C]51.2889[/C][C]63.3417[/C][C]-12.0527[/C][C]-0.688932[/C][/ROW]
[ROW][C]88[/C][C]34.1[/C][C]40.6556[/C][C]63.6625[/C][C]-23.0069[/C][C]-6.5556[/C][/ROW]
[ROW][C]89[/C][C]53.9[/C][C]57.6884[/C][C]63.6167[/C][C]-5.92826[/C][C]-3.78841[/C][/ROW]
[ROW][C]90[/C][C]51.7[/C][C]55.5629[/C][C]63.4333[/C][C]-7.87044[/C][C]-3.86289[/C][/ROW]
[ROW][C]91[/C][C]78.1[/C][C]71.828[/C][C]63.3417[/C][C]8.48633[/C][C]6.27201[/C][/ROW]
[ROW][C]92[/C][C]78.1[/C][C]69.1811[/C][C]63.3875[/C][C]5.79362[/C][C]8.91888[/C][/ROW]
[ROW][C]93[/C][C]59.4[/C][C]61.166[/C][C]63.1125[/C][C]-1.94648[/C][C]-1.76602[/C][/ROW]
[ROW][C]94[/C][C]77[/C][C]73.9134[/C][C]62.6083[/C][C]11.3051[/C][C]3.08659[/C][/ROW]
[ROW][C]95[/C][C]57.2[/C][C]65.6462[/C][C]62.6083[/C][C]3.03789[/C][C]-8.44622[/C][/ROW]
[ROW][C]96[/C][C]89.1[/C][C]88.202[/C][C]62.975[/C][C]25.227[/C][C]0.898047[/C][/ROW]
[ROW][C]97[/C][C]75.9[/C][C]70.453[/C][C]62.975[/C][C]7.47799[/C][C]5.44701[/C][/ROW]
[ROW][C]98[/C][C]56.1[/C][C]52.5436[/C][C]63.0667[/C][C]-10.523[/C][C]3.55638[/C][/ROW]
[ROW][C]99[/C][C]42.9[/C][C]51.4264[/C][C]63.4792[/C][C]-12.0527[/C][C]-8.52643[/C][/ROW]
[ROW][C]100[/C][C]29.7[/C][C]40.3348[/C][C]63.3417[/C][C]-23.0069[/C][C]-10.6348[/C][/ROW]
[ROW][C]101[/C][C]58.3[/C][C]56.9551[/C][C]62.8833[/C][C]-5.92826[/C][C]1.34492[/C][/ROW]
[ROW][C]102[/C][C]56.1[/C][C]54.9212[/C][C]62.7917[/C][C]-7.87044[/C][C]1.17878[/C][/ROW]
[ROW][C]103[/C][C]73.7[/C][C]NA[/C][C]NA[/C][C]8.48633[/C][C]NA[/C][/ROW]
[ROW][C]104[/C][C]84.7[/C][C]NA[/C][C]NA[/C][C]5.79362[/C][C]NA[/C][/ROW]
[ROW][C]105[/C][C]62.7[/C][C]NA[/C][C]NA[/C][C]-1.94648[/C][C]NA[/C][/ROW]
[ROW][C]106[/C][C]70.4[/C][C]NA[/C][C]NA[/C][C]11.3051[/C][C]NA[/C][/ROW]
[ROW][C]107[/C][C]52.8[/C][C]NA[/C][C]NA[/C][C]3.03789[/C][C]NA[/C][/ROW]
[ROW][C]108[/C][C]91.3[/C][C]NA[/C][C]NA[/C][C]25.227[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=307077&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=307077&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	59.4	NA	NA	7.47799	NA
2	57.2	NA	NA	-10.523	NA
3	60.5	NA	NA	-12.0527	NA
4	48.4	NA	NA	-23.0069	NA
5	62.7	NA	NA	-5.92826	NA
6	61.6	NA	NA	-7.87044	NA
7	66	72.653	64.1667	8.48633	-6.65299
8	68.2	69.9145	64.1208	5.79362	-1.71445
9	75.9	61.7618	63.7083	-1.94648	14.1382
10	66	74.7384	63.4333	11.3051	-8.73841
11	62.7	66.2421	63.2042	3.03789	-3.54206
12	78.1	87.927	62.7	25.227	-9.82695
13	66	69.7655	62.2875	7.47799	-3.76549
14	49.5	51.4895	62.0125	-10.523	-1.98945
15	58.3	49.1348	61.1875	-12.0527	9.16523
16	44	37.9056	60.9125	-23.0069	6.0944
17	61.6	55.5342	61.4625	-5.92826	6.06576
18	50.6	54.1421	62.0125	-7.87044	-3.54206
19	67.1	70.4988	62.0125	8.48633	-3.39883
20	60.5	67.6228	61.8292	5.79362	-7.12279
21	63.8	59.8368	61.7833	-1.94648	3.96315
22	71.5	72.8592	61.5542	11.3051	-1.35924
23	70.4	64.3171	61.2792	3.03789	6.08294
24	83.6	86.1395	60.9125	25.227	-2.53945
25	60.5	68.0238	60.5458	7.47799	-7.52383
26	50.6	49.8853	60.4083	-10.523	0.714714
27	56.1	47.9431	59.9958	-12.0527	8.1569
28	40.7	36.8056	59.8125	-23.0069	3.8944
29	58.3	54.0676	59.9958	-5.92826	4.23242
30	45.1	51.8962	59.7667	-7.87044	-6.79622
31	63.8	68.0238	59.5375	8.48633	-4.22383
32	60.5	65.4686	59.675	5.79362	-4.96862
33	53.9	57.6368	59.5833	-1.94648	-3.73685
34	77	70.6134	59.3083	11.3051	6.38659
35	69.3	62.1629	59.125	3.03789	7.13711
36	79.2	84.3061	59.0792	25.227	-5.10612
37	59.4	66.7863	59.3083	7.47799	-7.38633
38	55	49.0145	59.5375	-10.523	5.98555
39	49.5	47.6681	59.7208	-12.0527	1.8319
40	40.7	36.6223	59.6292	-23.0069	4.07773
41	53.9	53.5176	59.4458	-5.92826	0.382422
42	48.4	51.8962	59.7667	-7.87044	-3.49622
43	66	69.078	60.5917	8.48633	-3.07799
44	63.8	66.3395	60.5458	5.79362	-2.53945
45	55	57.8202	59.7667	-1.94648	-2.82018
46	73.7	70.8884	59.5833	11.3051	2.81159
47	68.2	62.5754	59.5375	3.03789	5.62461
48	88	84.7186	59.4917	25.227	3.28138
49	70.4	67.153	59.675	7.47799	3.24701
50	42.9	49.1978	59.7208	-10.523	-6.29779
51	42.9	47.6681	59.7208	-12.0527	-4.7681
52	42.9	36.6223	59.6292	-23.0069	6.27773
53	50.6	53.4259	59.3542	-5.92826	-2.82591
54	50.6	51.5754	59.4458	-7.87044	-0.975391
55	68.2	68.2988	59.8125	8.48633	-0.0988281
56	62.7	65.7436	59.95	5.79362	-3.04362
57	56.1	58.0952	60.0417	-1.94648	-1.99518
58	70.4	71.2092	59.9042	11.3051	-0.809245
59	64.9	62.7587	59.7208	3.03789	2.14128
60	93.5	85.3603	60.1333	25.227	8.13971
61	73.7	68.253	60.775	7.47799	5.44701
62	42.9	50.9853	61.5083	-10.523	-8.08529
63	45.1	50.0514	62.1042	-12.0527	-4.95143
64	37.4	39.1889	62.1958	-23.0069	-1.78893
65	51.7	56.0842	62.0125	-5.92826	-4.38424
66	59.4	53.7754	61.6458	-7.87044	5.62461
67	74.8	69.628	61.1417	8.48633	5.17201
68	73.7	67.1186	61.325	5.79362	6.58138
69	59.4	59.9743	61.9208	-1.94648	-0.574349
70	69.3	73.3176	62.0125	11.3051	-4.01758
71	61.6	65.0962	62.0583	3.03789	-3.49622
72	88	87.6061	62.3792	25.227	0.39388
73	67.1	70.1322	62.6542	7.47799	-3.03216
74	53.9	52.0853	62.6083	-10.523	1.81471
75	48.4	50.1889	62.2417	-12.0527	-1.78893
76	36.3	39.2348	62.2417	-23.0069	-2.93477
77	53.9	56.4967	62.425	-5.92826	-2.59674
78	64.9	54.6004	62.4708	-7.87044	10.2996
79	75.9	71.4613	62.975	8.48633	4.43867
80	71.5	69.1811	63.3875	5.79362	2.31888
81	52.8	61.5785	63.525	-1.94648	-8.77852
82	75.9	74.8301	63.525	11.3051	1.06992
83	59.4	66.4712	63.4333	3.03789	-7.07122
84	91.3	88.1103	62.8833	25.227	3.18971
85	75.9	69.903	62.425	7.47799	5.99701
86	55	52.2686	62.7917	-10.523	2.73138
87	50.6	51.2889	63.3417	-12.0527	-0.688932
88	34.1	40.6556	63.6625	-23.0069	-6.5556
89	53.9	57.6884	63.6167	-5.92826	-3.78841
90	51.7	55.5629	63.4333	-7.87044	-3.86289
91	78.1	71.828	63.3417	8.48633	6.27201
92	78.1	69.1811	63.3875	5.79362	8.91888
93	59.4	61.166	63.1125	-1.94648	-1.76602
94	77	73.9134	62.6083	11.3051	3.08659
95	57.2	65.6462	62.6083	3.03789	-8.44622
96	89.1	88.202	62.975	25.227	0.898047
97	75.9	70.453	62.975	7.47799	5.44701
98	56.1	52.5436	63.0667	-10.523	3.55638
99	42.9	51.4264	63.4792	-12.0527	-8.52643
100	29.7	40.3348	63.3417	-23.0069	-10.6348
101	58.3	56.9551	62.8833	-5.92826	1.34492
102	56.1	54.9212	62.7917	-7.87044	1.17878
103	73.7	NA	NA	8.48633	NA
104	84.7	NA	NA	5.79362	NA
105	62.7	NA	NA	-1.94648	NA
106	70.4	NA	NA	11.3051	NA
107	52.8	NA	NA	3.03789	NA
108	91.3	NA	NA	25.227	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):

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