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R Software Module

rwasp_decompose.wasp

Title produced by software

Classical Decomposition

Date of computation

Sat, 05 May 2012 17:09:10 -0400

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Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2012/May/05/t13362522968z9svu23q8x14e9.htm/, Retrieved Wed, 01 May 2024 01:57:07 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=166240, Retrieved Wed, 01 May 2024 01:57:07 +0000

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No (this computation is public)

User-defined keywords

KDGP2W92

Estimated Impact

165

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

-       [Classical Decomposition] [lassical Deomposi...] [2012-05-05 21:09:10] [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	'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 & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=166240&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]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=166240&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=166240&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	'Gwilym Jenkins' @ jenkins.wessa.net

Classical Decomposition by Moving Averages
t	Observations	Fit	Trend	Seasonal	Random
1	15.579	NA	NA	0.452790798611112	NA
2	16.348	NA	NA	0.871269965277776	NA
3	15.928	NA	NA	0.474853298611112	NA
4	16.171	NA	NA	-0.376782118055555	NA
5	15.937	NA	NA	0.215092881944445	NA
6	15.713	NA	NA	0.171176215277777	NA
7	15.594	16.1239991319444	16.4809583333333	-0.356959201388889	-0.529999131944445
8	15.683	15.8837387152778	16.79825	-0.914511284722224	-0.200738715277772
9	16.438	16.5762178819444	17.13075	-0.554532118055557	-0.138217881944442
10	17.032	17.0445512152778	17.4054583333333	-0.360907118055556	-0.0125512152777709
11	17.696	17.6394053819444	17.6103333333333	0.0290720486111126	0.0565946180555592
12	17.745	18.1756866319444	17.82625	0.349436631944446	-0.43068663194444
13	19.394	18.5399574652778	18.0871666666667	0.452790798611112	0.854042534722222
14	20.148	19.2076032986111	18.3363333333333	0.871269965277776	0.940396701388892
15	20.108	18.9962282986111	18.521375	0.474853298611112	1.11177170138889
16	18.584	18.3386345486111	18.7154166666667	-0.376782118055555	0.245365451388889
17	18.441	19.1018012152778	18.8867083333333	0.215092881944445	-0.660801215277775
18	18.391	19.1997178819444	19.0285416666667	0.171176215277777	-0.808717881944439
19	19.178	18.8107907986111	19.16775	-0.356959201388889	0.367209201388896
20	18.079	18.4566970486111	19.3712083333333	-0.914511284722224	-0.377697048611111
21	18.483	19.0781762152778	19.6327083333333	-0.554532118055557	-0.595176215277771
22	19.644	19.5242595486111	19.8851666666667	-0.360907118055556	0.119740451388889
23	19.195	20.1941137152778	20.1650416666667	0.0290720486111126	-0.999113715277776
24	19.65	20.8008532986111	20.4514166666667	0.349436631944446	-1.15085329861111
25	20.83	21.1371657986111	20.684375	0.452790798611112	-0.307165798611109
26	23.595	21.7886866319444	20.9174166666667	0.871269965277776	1.80631336805556
27	22.937	21.6821449652778	21.2072916666667	0.474853298611112	1.25485503472222
28	21.814	21.1057178819444	21.4825	-0.376782118055555	0.708282118055561
29	21.928	22.0376345486111	21.8225416666667	0.215092881944445	-0.109634548611105
30	21.777	22.4292178819444	22.2580416666667	0.171176215277777	-0.652217881944438
31	21.383	22.3052907986111	22.66225	-0.356959201388889	-0.922290798611108
32	21.467	22.0193220486111	22.9338333333333	-0.914511284722224	-0.55232204861111
33	22.052	22.6143428819444	23.168875	-0.554532118055557	-0.562342881944442
34	22.68	23.1916345486111	23.5525416666667	-0.360907118055556	-0.511634548611109
35	24.32	24.1848637152778	24.1557916666667	0.0290720486111126	0.135136284722222
36	24.977	25.3146449652778	24.9652083333333	0.349436631944446	-0.337644965277775
37	25.204	26.2278324652778	25.7750416666667	0.452790798611112	-1.02383246527778
38	25.739	27.3773949652778	26.506125	0.871269965277776	-1.63839496527777
39	26.434	27.7313949652778	27.2565416666667	0.474853298611112	-1.29739496527777
40	27.525	27.6146762152778	27.9914583333333	-0.376782118055555	-0.0896762152777804
41	30.695	28.8858428819444	28.67075	0.215092881944445	1.80915711805556
42	32.436	29.5416762152778	29.3705	0.171176215277777	2.89432378472222
43	30.16	29.7007907986111	30.05775	-0.356959201388889	0.459209201388891
44	30.236	29.7311137152778	30.645625	-0.914511284722224	0.504886284722225
45	31.293	30.6231345486111	31.1776666666667	-0.554532118055557	0.669865451388894
46	31.077	31.2984262152778	31.6593333333333	-0.360907118055556	-0.22142621527777
47	32.226	32.0444887152778	32.0154166666667	0.0290720486111126	0.181511284722227
48	33.865	32.5716866319444	32.22225	0.349436631944446	1.29331336805556
49	32.81	32.9589157986111	32.506125	0.452790798611112	-0.1489157986111
50	32.242	33.9761866319444	33.1049166666667	0.871269965277776	-1.73418663194445
51	32.7	34.3951032986111	33.92025	0.474853298611112	-1.6951032986111
52	32.819	34.3088428819444	34.685625	-0.376782118055555	-1.48984288194443
53	33.947	35.6115928819444	35.3965	0.215092881944445	-1.66459288194444
54	34.148	36.2072595486111	36.0360833333333	0.171176215277777	-2.05925954861111
55	35.261	NA	NA	-0.356959201388889	NA
56	39.506	NA	NA	-0.914511284722224	NA
57	41.591	NA	NA	-0.554532118055557	NA
58	39.148	NA	NA	-0.360907118055556	NA
59	41.216	NA	NA	0.0290720486111126	NA
60	40.225	NA	NA	0.349436631944446	NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 15.579 & NA & NA & 0.452790798611112 & NA \tabularnewline
2 & 16.348 & NA & NA & 0.871269965277776 & NA \tabularnewline
3 & 15.928 & NA & NA & 0.474853298611112 & NA \tabularnewline
4 & 16.171 & NA & NA & -0.376782118055555 & NA \tabularnewline
5 & 15.937 & NA & NA & 0.215092881944445 & NA \tabularnewline
6 & 15.713 & NA & NA & 0.171176215277777 & NA \tabularnewline
7 & 15.594 & 16.1239991319444 & 16.4809583333333 & -0.356959201388889 & -0.529999131944445 \tabularnewline
8 & 15.683 & 15.8837387152778 & 16.79825 & -0.914511284722224 & -0.200738715277772 \tabularnewline
9 & 16.438 & 16.5762178819444 & 17.13075 & -0.554532118055557 & -0.138217881944442 \tabularnewline
10 & 17.032 & 17.0445512152778 & 17.4054583333333 & -0.360907118055556 & -0.0125512152777709 \tabularnewline
11 & 17.696 & 17.6394053819444 & 17.6103333333333 & 0.0290720486111126 & 0.0565946180555592 \tabularnewline
12 & 17.745 & 18.1756866319444 & 17.82625 & 0.349436631944446 & -0.43068663194444 \tabularnewline
13 & 19.394 & 18.5399574652778 & 18.0871666666667 & 0.452790798611112 & 0.854042534722222 \tabularnewline
14 & 20.148 & 19.2076032986111 & 18.3363333333333 & 0.871269965277776 & 0.940396701388892 \tabularnewline
15 & 20.108 & 18.9962282986111 & 18.521375 & 0.474853298611112 & 1.11177170138889 \tabularnewline
16 & 18.584 & 18.3386345486111 & 18.7154166666667 & -0.376782118055555 & 0.245365451388889 \tabularnewline
17 & 18.441 & 19.1018012152778 & 18.8867083333333 & 0.215092881944445 & -0.660801215277775 \tabularnewline
18 & 18.391 & 19.1997178819444 & 19.0285416666667 & 0.171176215277777 & -0.808717881944439 \tabularnewline
19 & 19.178 & 18.8107907986111 & 19.16775 & -0.356959201388889 & 0.367209201388896 \tabularnewline
20 & 18.079 & 18.4566970486111 & 19.3712083333333 & -0.914511284722224 & -0.377697048611111 \tabularnewline
21 & 18.483 & 19.0781762152778 & 19.6327083333333 & -0.554532118055557 & -0.595176215277771 \tabularnewline
22 & 19.644 & 19.5242595486111 & 19.8851666666667 & -0.360907118055556 & 0.119740451388889 \tabularnewline
23 & 19.195 & 20.1941137152778 & 20.1650416666667 & 0.0290720486111126 & -0.999113715277776 \tabularnewline
24 & 19.65 & 20.8008532986111 & 20.4514166666667 & 0.349436631944446 & -1.15085329861111 \tabularnewline
25 & 20.83 & 21.1371657986111 & 20.684375 & 0.452790798611112 & -0.307165798611109 \tabularnewline
26 & 23.595 & 21.7886866319444 & 20.9174166666667 & 0.871269965277776 & 1.80631336805556 \tabularnewline
27 & 22.937 & 21.6821449652778 & 21.2072916666667 & 0.474853298611112 & 1.25485503472222 \tabularnewline
28 & 21.814 & 21.1057178819444 & 21.4825 & -0.376782118055555 & 0.708282118055561 \tabularnewline
29 & 21.928 & 22.0376345486111 & 21.8225416666667 & 0.215092881944445 & -0.109634548611105 \tabularnewline
30 & 21.777 & 22.4292178819444 & 22.2580416666667 & 0.171176215277777 & -0.652217881944438 \tabularnewline
31 & 21.383 & 22.3052907986111 & 22.66225 & -0.356959201388889 & -0.922290798611108 \tabularnewline
32 & 21.467 & 22.0193220486111 & 22.9338333333333 & -0.914511284722224 & -0.55232204861111 \tabularnewline
33 & 22.052 & 22.6143428819444 & 23.168875 & -0.554532118055557 & -0.562342881944442 \tabularnewline
34 & 22.68 & 23.1916345486111 & 23.5525416666667 & -0.360907118055556 & -0.511634548611109 \tabularnewline
35 & 24.32 & 24.1848637152778 & 24.1557916666667 & 0.0290720486111126 & 0.135136284722222 \tabularnewline
36 & 24.977 & 25.3146449652778 & 24.9652083333333 & 0.349436631944446 & -0.337644965277775 \tabularnewline
37 & 25.204 & 26.2278324652778 & 25.7750416666667 & 0.452790798611112 & -1.02383246527778 \tabularnewline
38 & 25.739 & 27.3773949652778 & 26.506125 & 0.871269965277776 & -1.63839496527777 \tabularnewline
39 & 26.434 & 27.7313949652778 & 27.2565416666667 & 0.474853298611112 & -1.29739496527777 \tabularnewline
40 & 27.525 & 27.6146762152778 & 27.9914583333333 & -0.376782118055555 & -0.0896762152777804 \tabularnewline
41 & 30.695 & 28.8858428819444 & 28.67075 & 0.215092881944445 & 1.80915711805556 \tabularnewline
42 & 32.436 & 29.5416762152778 & 29.3705 & 0.171176215277777 & 2.89432378472222 \tabularnewline
43 & 30.16 & 29.7007907986111 & 30.05775 & -0.356959201388889 & 0.459209201388891 \tabularnewline
44 & 30.236 & 29.7311137152778 & 30.645625 & -0.914511284722224 & 0.504886284722225 \tabularnewline
45 & 31.293 & 30.6231345486111 & 31.1776666666667 & -0.554532118055557 & 0.669865451388894 \tabularnewline
46 & 31.077 & 31.2984262152778 & 31.6593333333333 & -0.360907118055556 & -0.22142621527777 \tabularnewline
47 & 32.226 & 32.0444887152778 & 32.0154166666667 & 0.0290720486111126 & 0.181511284722227 \tabularnewline
48 & 33.865 & 32.5716866319444 & 32.22225 & 0.349436631944446 & 1.29331336805556 \tabularnewline
49 & 32.81 & 32.9589157986111 & 32.506125 & 0.452790798611112 & -0.1489157986111 \tabularnewline
50 & 32.242 & 33.9761866319444 & 33.1049166666667 & 0.871269965277776 & -1.73418663194445 \tabularnewline
51 & 32.7 & 34.3951032986111 & 33.92025 & 0.474853298611112 & -1.6951032986111 \tabularnewline
52 & 32.819 & 34.3088428819444 & 34.685625 & -0.376782118055555 & -1.48984288194443 \tabularnewline
53 & 33.947 & 35.6115928819444 & 35.3965 & 0.215092881944445 & -1.66459288194444 \tabularnewline
54 & 34.148 & 36.2072595486111 & 36.0360833333333 & 0.171176215277777 & -2.05925954861111 \tabularnewline
55 & 35.261 & NA & NA & -0.356959201388889 & NA \tabularnewline
56 & 39.506 & NA & NA & -0.914511284722224 & NA \tabularnewline
57 & 41.591 & NA & NA & -0.554532118055557 & NA \tabularnewline
58 & 39.148 & NA & NA & -0.360907118055556 & NA \tabularnewline
59 & 41.216 & NA & NA & 0.0290720486111126 & NA \tabularnewline
60 & 40.225 & NA & NA & 0.349436631944446 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=166240&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]15.579[/C][C]NA[/C][C]NA[/C][C]0.452790798611112[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]16.348[/C][C]NA[/C][C]NA[/C][C]0.871269965277776[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]15.928[/C][C]NA[/C][C]NA[/C][C]0.474853298611112[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]16.171[/C][C]NA[/C][C]NA[/C][C]-0.376782118055555[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]15.937[/C][C]NA[/C][C]NA[/C][C]0.215092881944445[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]15.713[/C][C]NA[/C][C]NA[/C][C]0.171176215277777[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]15.594[/C][C]16.1239991319444[/C][C]16.4809583333333[/C][C]-0.356959201388889[/C][C]-0.529999131944445[/C][/ROW]
[ROW][C]8[/C][C]15.683[/C][C]15.8837387152778[/C][C]16.79825[/C][C]-0.914511284722224[/C][C]-0.200738715277772[/C][/ROW]
[ROW][C]9[/C][C]16.438[/C][C]16.5762178819444[/C][C]17.13075[/C][C]-0.554532118055557[/C][C]-0.138217881944442[/C][/ROW]
[ROW][C]10[/C][C]17.032[/C][C]17.0445512152778[/C][C]17.4054583333333[/C][C]-0.360907118055556[/C][C]-0.0125512152777709[/C][/ROW]
[ROW][C]11[/C][C]17.696[/C][C]17.6394053819444[/C][C]17.6103333333333[/C][C]0.0290720486111126[/C][C]0.0565946180555592[/C][/ROW]
[ROW][C]12[/C][C]17.745[/C][C]18.1756866319444[/C][C]17.82625[/C][C]0.349436631944446[/C][C]-0.43068663194444[/C][/ROW]
[ROW][C]13[/C][C]19.394[/C][C]18.5399574652778[/C][C]18.0871666666667[/C][C]0.452790798611112[/C][C]0.854042534722222[/C][/ROW]
[ROW][C]14[/C][C]20.148[/C][C]19.2076032986111[/C][C]18.3363333333333[/C][C]0.871269965277776[/C][C]0.940396701388892[/C][/ROW]
[ROW][C]15[/C][C]20.108[/C][C]18.9962282986111[/C][C]18.521375[/C][C]0.474853298611112[/C][C]1.11177170138889[/C][/ROW]
[ROW][C]16[/C][C]18.584[/C][C]18.3386345486111[/C][C]18.7154166666667[/C][C]-0.376782118055555[/C][C]0.245365451388889[/C][/ROW]
[ROW][C]17[/C][C]18.441[/C][C]19.1018012152778[/C][C]18.8867083333333[/C][C]0.215092881944445[/C][C]-0.660801215277775[/C][/ROW]
[ROW][C]18[/C][C]18.391[/C][C]19.1997178819444[/C][C]19.0285416666667[/C][C]0.171176215277777[/C][C]-0.808717881944439[/C][/ROW]
[ROW][C]19[/C][C]19.178[/C][C]18.8107907986111[/C][C]19.16775[/C][C]-0.356959201388889[/C][C]0.367209201388896[/C][/ROW]
[ROW][C]20[/C][C]18.079[/C][C]18.4566970486111[/C][C]19.3712083333333[/C][C]-0.914511284722224[/C][C]-0.377697048611111[/C][/ROW]
[ROW][C]21[/C][C]18.483[/C][C]19.0781762152778[/C][C]19.6327083333333[/C][C]-0.554532118055557[/C][C]-0.595176215277771[/C][/ROW]
[ROW][C]22[/C][C]19.644[/C][C]19.5242595486111[/C][C]19.8851666666667[/C][C]-0.360907118055556[/C][C]0.119740451388889[/C][/ROW]
[ROW][C]23[/C][C]19.195[/C][C]20.1941137152778[/C][C]20.1650416666667[/C][C]0.0290720486111126[/C][C]-0.999113715277776[/C][/ROW]
[ROW][C]24[/C][C]19.65[/C][C]20.8008532986111[/C][C]20.4514166666667[/C][C]0.349436631944446[/C][C]-1.15085329861111[/C][/ROW]
[ROW][C]25[/C][C]20.83[/C][C]21.1371657986111[/C][C]20.684375[/C][C]0.452790798611112[/C][C]-0.307165798611109[/C][/ROW]
[ROW][C]26[/C][C]23.595[/C][C]21.7886866319444[/C][C]20.9174166666667[/C][C]0.871269965277776[/C][C]1.80631336805556[/C][/ROW]
[ROW][C]27[/C][C]22.937[/C][C]21.6821449652778[/C][C]21.2072916666667[/C][C]0.474853298611112[/C][C]1.25485503472222[/C][/ROW]
[ROW][C]28[/C][C]21.814[/C][C]21.1057178819444[/C][C]21.4825[/C][C]-0.376782118055555[/C][C]0.708282118055561[/C][/ROW]
[ROW][C]29[/C][C]21.928[/C][C]22.0376345486111[/C][C]21.8225416666667[/C][C]0.215092881944445[/C][C]-0.109634548611105[/C][/ROW]
[ROW][C]30[/C][C]21.777[/C][C]22.4292178819444[/C][C]22.2580416666667[/C][C]0.171176215277777[/C][C]-0.652217881944438[/C][/ROW]
[ROW][C]31[/C][C]21.383[/C][C]22.3052907986111[/C][C]22.66225[/C][C]-0.356959201388889[/C][C]-0.922290798611108[/C][/ROW]
[ROW][C]32[/C][C]21.467[/C][C]22.0193220486111[/C][C]22.9338333333333[/C][C]-0.914511284722224[/C][C]-0.55232204861111[/C][/ROW]
[ROW][C]33[/C][C]22.052[/C][C]22.6143428819444[/C][C]23.168875[/C][C]-0.554532118055557[/C][C]-0.562342881944442[/C][/ROW]
[ROW][C]34[/C][C]22.68[/C][C]23.1916345486111[/C][C]23.5525416666667[/C][C]-0.360907118055556[/C][C]-0.511634548611109[/C][/ROW]
[ROW][C]35[/C][C]24.32[/C][C]24.1848637152778[/C][C]24.1557916666667[/C][C]0.0290720486111126[/C][C]0.135136284722222[/C][/ROW]
[ROW][C]36[/C][C]24.977[/C][C]25.3146449652778[/C][C]24.9652083333333[/C][C]0.349436631944446[/C][C]-0.337644965277775[/C][/ROW]
[ROW][C]37[/C][C]25.204[/C][C]26.2278324652778[/C][C]25.7750416666667[/C][C]0.452790798611112[/C][C]-1.02383246527778[/C][/ROW]
[ROW][C]38[/C][C]25.739[/C][C]27.3773949652778[/C][C]26.506125[/C][C]0.871269965277776[/C][C]-1.63839496527777[/C][/ROW]
[ROW][C]39[/C][C]26.434[/C][C]27.7313949652778[/C][C]27.2565416666667[/C][C]0.474853298611112[/C][C]-1.29739496527777[/C][/ROW]
[ROW][C]40[/C][C]27.525[/C][C]27.6146762152778[/C][C]27.9914583333333[/C][C]-0.376782118055555[/C][C]-0.0896762152777804[/C][/ROW]
[ROW][C]41[/C][C]30.695[/C][C]28.8858428819444[/C][C]28.67075[/C][C]0.215092881944445[/C][C]1.80915711805556[/C][/ROW]
[ROW][C]42[/C][C]32.436[/C][C]29.5416762152778[/C][C]29.3705[/C][C]0.171176215277777[/C][C]2.89432378472222[/C][/ROW]
[ROW][C]43[/C][C]30.16[/C][C]29.7007907986111[/C][C]30.05775[/C][C]-0.356959201388889[/C][C]0.459209201388891[/C][/ROW]
[ROW][C]44[/C][C]30.236[/C][C]29.7311137152778[/C][C]30.645625[/C][C]-0.914511284722224[/C][C]0.504886284722225[/C][/ROW]
[ROW][C]45[/C][C]31.293[/C][C]30.6231345486111[/C][C]31.1776666666667[/C][C]-0.554532118055557[/C][C]0.669865451388894[/C][/ROW]
[ROW][C]46[/C][C]31.077[/C][C]31.2984262152778[/C][C]31.6593333333333[/C][C]-0.360907118055556[/C][C]-0.22142621527777[/C][/ROW]
[ROW][C]47[/C][C]32.226[/C][C]32.0444887152778[/C][C]32.0154166666667[/C][C]0.0290720486111126[/C][C]0.181511284722227[/C][/ROW]
[ROW][C]48[/C][C]33.865[/C][C]32.5716866319444[/C][C]32.22225[/C][C]0.349436631944446[/C][C]1.29331336805556[/C][/ROW]
[ROW][C]49[/C][C]32.81[/C][C]32.9589157986111[/C][C]32.506125[/C][C]0.452790798611112[/C][C]-0.1489157986111[/C][/ROW]
[ROW][C]50[/C][C]32.242[/C][C]33.9761866319444[/C][C]33.1049166666667[/C][C]0.871269965277776[/C][C]-1.73418663194445[/C][/ROW]
[ROW][C]51[/C][C]32.7[/C][C]34.3951032986111[/C][C]33.92025[/C][C]0.474853298611112[/C][C]-1.6951032986111[/C][/ROW]
[ROW][C]52[/C][C]32.819[/C][C]34.3088428819444[/C][C]34.685625[/C][C]-0.376782118055555[/C][C]-1.48984288194443[/C][/ROW]
[ROW][C]53[/C][C]33.947[/C][C]35.6115928819444[/C][C]35.3965[/C][C]0.215092881944445[/C][C]-1.66459288194444[/C][/ROW]
[ROW][C]54[/C][C]34.148[/C][C]36.2072595486111[/C][C]36.0360833333333[/C][C]0.171176215277777[/C][C]-2.05925954861111[/C][/ROW]
[ROW][C]55[/C][C]35.261[/C][C]NA[/C][C]NA[/C][C]-0.356959201388889[/C][C]NA[/C][/ROW]
[ROW][C]56[/C][C]39.506[/C][C]NA[/C][C]NA[/C][C]-0.914511284722224[/C][C]NA[/C][/ROW]
[ROW][C]57[/C][C]41.591[/C][C]NA[/C][C]NA[/C][C]-0.554532118055557[/C][C]NA[/C][/ROW]
[ROW][C]58[/C][C]39.148[/C][C]NA[/C][C]NA[/C][C]-0.360907118055556[/C][C]NA[/C][/ROW]
[ROW][C]59[/C][C]41.216[/C][C]NA[/C][C]NA[/C][C]0.0290720486111126[/C][C]NA[/C][/ROW]
[ROW][C]60[/C][C]40.225[/C][C]NA[/C][C]NA[/C][C]0.349436631944446[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=166240&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=166240&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	15.579	NA	NA	0.452790798611112	NA
2	16.348	NA	NA	0.871269965277776	NA
3	15.928	NA	NA	0.474853298611112	NA
4	16.171	NA	NA	-0.376782118055555	NA
5	15.937	NA	NA	0.215092881944445	NA
6	15.713	NA	NA	0.171176215277777	NA
7	15.594	16.1239991319444	16.4809583333333	-0.356959201388889	-0.529999131944445
8	15.683	15.8837387152778	16.79825	-0.914511284722224	-0.200738715277772
9	16.438	16.5762178819444	17.13075	-0.554532118055557	-0.138217881944442
10	17.032	17.0445512152778	17.4054583333333	-0.360907118055556	-0.0125512152777709
11	17.696	17.6394053819444	17.6103333333333	0.0290720486111126	0.0565946180555592
12	17.745	18.1756866319444	17.82625	0.349436631944446	-0.43068663194444
13	19.394	18.5399574652778	18.0871666666667	0.452790798611112	0.854042534722222
14	20.148	19.2076032986111	18.3363333333333	0.871269965277776	0.940396701388892
15	20.108	18.9962282986111	18.521375	0.474853298611112	1.11177170138889
16	18.584	18.3386345486111	18.7154166666667	-0.376782118055555	0.245365451388889
17	18.441	19.1018012152778	18.8867083333333	0.215092881944445	-0.660801215277775
18	18.391	19.1997178819444	19.0285416666667	0.171176215277777	-0.808717881944439
19	19.178	18.8107907986111	19.16775	-0.356959201388889	0.367209201388896
20	18.079	18.4566970486111	19.3712083333333	-0.914511284722224	-0.377697048611111
21	18.483	19.0781762152778	19.6327083333333	-0.554532118055557	-0.595176215277771
22	19.644	19.5242595486111	19.8851666666667	-0.360907118055556	0.119740451388889
23	19.195	20.1941137152778	20.1650416666667	0.0290720486111126	-0.999113715277776
24	19.65	20.8008532986111	20.4514166666667	0.349436631944446	-1.15085329861111
25	20.83	21.1371657986111	20.684375	0.452790798611112	-0.307165798611109
26	23.595	21.7886866319444	20.9174166666667	0.871269965277776	1.80631336805556
27	22.937	21.6821449652778	21.2072916666667	0.474853298611112	1.25485503472222
28	21.814	21.1057178819444	21.4825	-0.376782118055555	0.708282118055561
29	21.928	22.0376345486111	21.8225416666667	0.215092881944445	-0.109634548611105
30	21.777	22.4292178819444	22.2580416666667	0.171176215277777	-0.652217881944438
31	21.383	22.3052907986111	22.66225	-0.356959201388889	-0.922290798611108
32	21.467	22.0193220486111	22.9338333333333	-0.914511284722224	-0.55232204861111
33	22.052	22.6143428819444	23.168875	-0.554532118055557	-0.562342881944442
34	22.68	23.1916345486111	23.5525416666667	-0.360907118055556	-0.511634548611109
35	24.32	24.1848637152778	24.1557916666667	0.0290720486111126	0.135136284722222
36	24.977	25.3146449652778	24.9652083333333	0.349436631944446	-0.337644965277775
37	25.204	26.2278324652778	25.7750416666667	0.452790798611112	-1.02383246527778
38	25.739	27.3773949652778	26.506125	0.871269965277776	-1.63839496527777
39	26.434	27.7313949652778	27.2565416666667	0.474853298611112	-1.29739496527777
40	27.525	27.6146762152778	27.9914583333333	-0.376782118055555	-0.0896762152777804
41	30.695	28.8858428819444	28.67075	0.215092881944445	1.80915711805556
42	32.436	29.5416762152778	29.3705	0.171176215277777	2.89432378472222
43	30.16	29.7007907986111	30.05775	-0.356959201388889	0.459209201388891
44	30.236	29.7311137152778	30.645625	-0.914511284722224	0.504886284722225
45	31.293	30.6231345486111	31.1776666666667	-0.554532118055557	0.669865451388894
46	31.077	31.2984262152778	31.6593333333333	-0.360907118055556	-0.22142621527777
47	32.226	32.0444887152778	32.0154166666667	0.0290720486111126	0.181511284722227
48	33.865	32.5716866319444	32.22225	0.349436631944446	1.29331336805556
49	32.81	32.9589157986111	32.506125	0.452790798611112	-0.1489157986111
50	32.242	33.9761866319444	33.1049166666667	0.871269965277776	-1.73418663194445
51	32.7	34.3951032986111	33.92025	0.474853298611112	-1.6951032986111
52	32.819	34.3088428819444	34.685625	-0.376782118055555	-1.48984288194443
53	33.947	35.6115928819444	35.3965	0.215092881944445	-1.66459288194444
54	34.148	36.2072595486111	36.0360833333333	0.171176215277777	-2.05925954861111
55	35.261	NA	NA	-0.356959201388889	NA
56	39.506	NA	NA	-0.914511284722224	NA
57	41.591	NA	NA	-0.554532118055557	NA
58	39.148	NA	NA	-0.360907118055556	NA
59	41.216	NA	NA	0.0290720486111126	NA
60	40.225	NA	NA	0.349436631944446	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$trend)) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
if (par1 == 'additive') a<-table.element(a,m$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