Free Statistics

of Irreproducible Research!

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationTue, 01 Dec 2009 13:00:13 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/Dec/01/t1259697680tjy2qh4slby6i20.htm/, Retrieved Fri, 26 Apr 2024 16:36:56 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=62230, Retrieved Fri, 26 Apr 2024 16:36:56 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact183
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Data Series] [data set] [2008-12-01 19:54:57] [b98453cac15ba1066b407e146608df68]
- RMP   [Classical Decomposition] [] [2009-11-27 14:58:37] [b98453cac15ba1066b407e146608df68]
-    D      [Classical Decomposition] [ad hoc 1] [2009-12-01 20:00:13] [e1f26cfd746b288ac2a466939c6f316e] [Current]
Feedback Forum

Post a new message
Dataseries X:
105.7
105.7
111.1
82.4
60
107.3
99.3
113.5
108.9
100.2
103.9
138.7
120.2
100.2
143.2
70.9
85.2
133
136.6
117.9
106.3
122.3
125.5
148.4
126.3
99.6
140.4
80.3
92.6
138.5
110.9
119.6
105
109
129.4
148.6
101.4
134.8
143.7
81.6
90.3
141.5
140.7
140.2
100.2
125.7
119.6
134.7
109
116.3
146.9
97.4
89.4
132.1
139.8
129
112.5
121.9
121.7
123.1




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\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' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=62230&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' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=62230&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=62230&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 Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
1105.7NANA0.97318121800085NA
2105.7NANA0.95152026739898NA
3111.1NANA1.21299453867965NA
482.4NANA0.694503848470929NA
560NANA0.75073415971995NA
6107.3NANA1.144233413222NA
799.3109.628344220261103.66251.057550649658860.905787647403394
8113.5111.164689304183104.03751.068505964716411.02100766628715
9108.996.1580898841023105.1458333333330.9145211639462871.13251001690295
10100.2104.364036104902106.0041666666670.9845276783607780.960100852167917
11103.9109.412994093463106.5751.026629078990970.949612985741408
12138.7132.728266738881108.6958333333331.221098018834341.04499217391927
13120.2108.335344172203111.3208333333330.973181218000851.10951786712320
14100.2107.577295565016113.0583333333330.951520267398980.931423303344173
15143.2137.230115475958113.1333333333331.212994538679651.04350272899893
1670.979.135819767227113.9458333333330.6945038484709290.895928041290882
1785.286.9099912235796115.7666666666670.750734159719950.980324572589352
18133133.956359213744117.0708333333331.1442334132220.992860665821635
19136.6124.504556692129117.7291666666671.057550649658861.0971485994507
20117.9126.039182754673117.9583333333331.068505964716410.935423393132313
21106.3107.745835132272117.8166666666670.9145211639462870.986581057815397
22122.3116.264514417088118.0916666666670.9845276783607781.05191167410944
23125.5121.954979341802118.7916666666671.026629078990971.02906827320484
24148.4145.712609005819119.3291666666671.221098018834341.01844309159322
25126.3115.309809567876118.48750.973181218000851.09531010824934
2699.6111.791737416038117.48750.951520267398980.890942410433558
27140.4142.53191243877117.5041666666671.212994538679650.98504256062876
2880.381.1846061202163116.8958333333330.6945038484709290.989103770252868
2992.687.463657666373116.5041666666670.750734159719951.05872544632445
30138.5133.503433487677116.6751.1442334132221.03742650193925
31110.9122.301326172007115.6458333333331.057550649658860.906776757629172
32119.6124.026829854457116.0751.068505964716410.964307482021011
33105107.620088472229117.6791666666670.9145211639462870.975654280632698
34109116.047097888117117.8708333333330.9845276783607780.9392738119577
35129.4120.966848853273117.8291666666671.026629078990971.06971456416919
36148.6143.916577336450117.8583333333331.221098018834341.03254262122007
37101.4116.027530716151119.2250.973181218000850.873930517818776
38134.8115.443196442181121.3250.951520267398981.16767383574236
39143.7147.965117143272121.9833333333331.212994538679650.971174846980031
4081.685.0622526075123122.4791666666670.6945038484709290.959297426280402
4190.392.1651303416192122.7666666666670.750734159719950.979763167103373
42141.5139.343791534331121.7791666666671.1442334132221.01547401891341
43140.7128.510029777712121.5166666666671.057550649658861.09485617771137
44140.2129.356003353480121.06251.068505964716411.08383064075416
45100.2110.131211168232120.4250.9145211639462870.90982382684359
46125.7119.341163411966121.2166666666670.9845276783607781.05328284395958
47119.6125.081920411562121.83751.026629078990970.956173359079195
48134.7148.251475303312121.4083333333331.221098018834340.908591295462072
49109117.734652769394120.9791666666670.973181218000850.925810689003323
50116.3114.634404214892120.4750.951520267398981.01452963267455
51146.9146.191112630453120.5208333333331.212994538679651.00484904558691
5297.483.9481526839235120.8750.6945038484709291.16023994437048
5389.490.6918145531688120.8041666666670.750734159719950.985755996177456
54132.1137.775238230372120.4083333333331.1442334132220.958807995520335
55139.8NANA1.05755064965886NA
56129NANA1.06850596471641NA
57112.5NANA0.914521163946287NA
58121.9NANA0.984527678360778NA
59121.7NANA1.02662907899097NA
60123.1NANA1.22109801883434NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 105.7 & NA & NA & 0.97318121800085 & NA \tabularnewline
2 & 105.7 & NA & NA & 0.95152026739898 & NA \tabularnewline
3 & 111.1 & NA & NA & 1.21299453867965 & NA \tabularnewline
4 & 82.4 & NA & NA & 0.694503848470929 & NA \tabularnewline
5 & 60 & NA & NA & 0.75073415971995 & NA \tabularnewline
6 & 107.3 & NA & NA & 1.144233413222 & NA \tabularnewline
7 & 99.3 & 109.628344220261 & 103.6625 & 1.05755064965886 & 0.905787647403394 \tabularnewline
8 & 113.5 & 111.164689304183 & 104.0375 & 1.06850596471641 & 1.02100766628715 \tabularnewline
9 & 108.9 & 96.1580898841023 & 105.145833333333 & 0.914521163946287 & 1.13251001690295 \tabularnewline
10 & 100.2 & 104.364036104902 & 106.004166666667 & 0.984527678360778 & 0.960100852167917 \tabularnewline
11 & 103.9 & 109.412994093463 & 106.575 & 1.02662907899097 & 0.949612985741408 \tabularnewline
12 & 138.7 & 132.728266738881 & 108.695833333333 & 1.22109801883434 & 1.04499217391927 \tabularnewline
13 & 120.2 & 108.335344172203 & 111.320833333333 & 0.97318121800085 & 1.10951786712320 \tabularnewline
14 & 100.2 & 107.577295565016 & 113.058333333333 & 0.95152026739898 & 0.931423303344173 \tabularnewline
15 & 143.2 & 137.230115475958 & 113.133333333333 & 1.21299453867965 & 1.04350272899893 \tabularnewline
16 & 70.9 & 79.135819767227 & 113.945833333333 & 0.694503848470929 & 0.895928041290882 \tabularnewline
17 & 85.2 & 86.9099912235796 & 115.766666666667 & 0.75073415971995 & 0.980324572589352 \tabularnewline
18 & 133 & 133.956359213744 & 117.070833333333 & 1.144233413222 & 0.992860665821635 \tabularnewline
19 & 136.6 & 124.504556692129 & 117.729166666667 & 1.05755064965886 & 1.0971485994507 \tabularnewline
20 & 117.9 & 126.039182754673 & 117.958333333333 & 1.06850596471641 & 0.935423393132313 \tabularnewline
21 & 106.3 & 107.745835132272 & 117.816666666667 & 0.914521163946287 & 0.986581057815397 \tabularnewline
22 & 122.3 & 116.264514417088 & 118.091666666667 & 0.984527678360778 & 1.05191167410944 \tabularnewline
23 & 125.5 & 121.954979341802 & 118.791666666667 & 1.02662907899097 & 1.02906827320484 \tabularnewline
24 & 148.4 & 145.712609005819 & 119.329166666667 & 1.22109801883434 & 1.01844309159322 \tabularnewline
25 & 126.3 & 115.309809567876 & 118.4875 & 0.97318121800085 & 1.09531010824934 \tabularnewline
26 & 99.6 & 111.791737416038 & 117.4875 & 0.95152026739898 & 0.890942410433558 \tabularnewline
27 & 140.4 & 142.53191243877 & 117.504166666667 & 1.21299453867965 & 0.98504256062876 \tabularnewline
28 & 80.3 & 81.1846061202163 & 116.895833333333 & 0.694503848470929 & 0.989103770252868 \tabularnewline
29 & 92.6 & 87.463657666373 & 116.504166666667 & 0.75073415971995 & 1.05872544632445 \tabularnewline
30 & 138.5 & 133.503433487677 & 116.675 & 1.144233413222 & 1.03742650193925 \tabularnewline
31 & 110.9 & 122.301326172007 & 115.645833333333 & 1.05755064965886 & 0.906776757629172 \tabularnewline
32 & 119.6 & 124.026829854457 & 116.075 & 1.06850596471641 & 0.964307482021011 \tabularnewline
33 & 105 & 107.620088472229 & 117.679166666667 & 0.914521163946287 & 0.975654280632698 \tabularnewline
34 & 109 & 116.047097888117 & 117.870833333333 & 0.984527678360778 & 0.9392738119577 \tabularnewline
35 & 129.4 & 120.966848853273 & 117.829166666667 & 1.02662907899097 & 1.06971456416919 \tabularnewline
36 & 148.6 & 143.916577336450 & 117.858333333333 & 1.22109801883434 & 1.03254262122007 \tabularnewline
37 & 101.4 & 116.027530716151 & 119.225 & 0.97318121800085 & 0.873930517818776 \tabularnewline
38 & 134.8 & 115.443196442181 & 121.325 & 0.95152026739898 & 1.16767383574236 \tabularnewline
39 & 143.7 & 147.965117143272 & 121.983333333333 & 1.21299453867965 & 0.971174846980031 \tabularnewline
40 & 81.6 & 85.0622526075123 & 122.479166666667 & 0.694503848470929 & 0.959297426280402 \tabularnewline
41 & 90.3 & 92.1651303416192 & 122.766666666667 & 0.75073415971995 & 0.979763167103373 \tabularnewline
42 & 141.5 & 139.343791534331 & 121.779166666667 & 1.144233413222 & 1.01547401891341 \tabularnewline
43 & 140.7 & 128.510029777712 & 121.516666666667 & 1.05755064965886 & 1.09485617771137 \tabularnewline
44 & 140.2 & 129.356003353480 & 121.0625 & 1.06850596471641 & 1.08383064075416 \tabularnewline
45 & 100.2 & 110.131211168232 & 120.425 & 0.914521163946287 & 0.90982382684359 \tabularnewline
46 & 125.7 & 119.341163411966 & 121.216666666667 & 0.984527678360778 & 1.05328284395958 \tabularnewline
47 & 119.6 & 125.081920411562 & 121.8375 & 1.02662907899097 & 0.956173359079195 \tabularnewline
48 & 134.7 & 148.251475303312 & 121.408333333333 & 1.22109801883434 & 0.908591295462072 \tabularnewline
49 & 109 & 117.734652769394 & 120.979166666667 & 0.97318121800085 & 0.925810689003323 \tabularnewline
50 & 116.3 & 114.634404214892 & 120.475 & 0.95152026739898 & 1.01452963267455 \tabularnewline
51 & 146.9 & 146.191112630453 & 120.520833333333 & 1.21299453867965 & 1.00484904558691 \tabularnewline
52 & 97.4 & 83.9481526839235 & 120.875 & 0.694503848470929 & 1.16023994437048 \tabularnewline
53 & 89.4 & 90.6918145531688 & 120.804166666667 & 0.75073415971995 & 0.985755996177456 \tabularnewline
54 & 132.1 & 137.775238230372 & 120.408333333333 & 1.144233413222 & 0.958807995520335 \tabularnewline
55 & 139.8 & NA & NA & 1.05755064965886 & NA \tabularnewline
56 & 129 & NA & NA & 1.06850596471641 & NA \tabularnewline
57 & 112.5 & NA & NA & 0.914521163946287 & NA \tabularnewline
58 & 121.9 & NA & NA & 0.984527678360778 & NA \tabularnewline
59 & 121.7 & NA & NA & 1.02662907899097 & NA \tabularnewline
60 & 123.1 & NA & NA & 1.22109801883434 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=62230&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]105.7[/C][C]NA[/C][C]NA[/C][C]0.97318121800085[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]105.7[/C][C]NA[/C][C]NA[/C][C]0.95152026739898[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]111.1[/C][C]NA[/C][C]NA[/C][C]1.21299453867965[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]82.4[/C][C]NA[/C][C]NA[/C][C]0.694503848470929[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]60[/C][C]NA[/C][C]NA[/C][C]0.75073415971995[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]107.3[/C][C]NA[/C][C]NA[/C][C]1.144233413222[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]99.3[/C][C]109.628344220261[/C][C]103.6625[/C][C]1.05755064965886[/C][C]0.905787647403394[/C][/ROW]
[ROW][C]8[/C][C]113.5[/C][C]111.164689304183[/C][C]104.0375[/C][C]1.06850596471641[/C][C]1.02100766628715[/C][/ROW]
[ROW][C]9[/C][C]108.9[/C][C]96.1580898841023[/C][C]105.145833333333[/C][C]0.914521163946287[/C][C]1.13251001690295[/C][/ROW]
[ROW][C]10[/C][C]100.2[/C][C]104.364036104902[/C][C]106.004166666667[/C][C]0.984527678360778[/C][C]0.960100852167917[/C][/ROW]
[ROW][C]11[/C][C]103.9[/C][C]109.412994093463[/C][C]106.575[/C][C]1.02662907899097[/C][C]0.949612985741408[/C][/ROW]
[ROW][C]12[/C][C]138.7[/C][C]132.728266738881[/C][C]108.695833333333[/C][C]1.22109801883434[/C][C]1.04499217391927[/C][/ROW]
[ROW][C]13[/C][C]120.2[/C][C]108.335344172203[/C][C]111.320833333333[/C][C]0.97318121800085[/C][C]1.10951786712320[/C][/ROW]
[ROW][C]14[/C][C]100.2[/C][C]107.577295565016[/C][C]113.058333333333[/C][C]0.95152026739898[/C][C]0.931423303344173[/C][/ROW]
[ROW][C]15[/C][C]143.2[/C][C]137.230115475958[/C][C]113.133333333333[/C][C]1.21299453867965[/C][C]1.04350272899893[/C][/ROW]
[ROW][C]16[/C][C]70.9[/C][C]79.135819767227[/C][C]113.945833333333[/C][C]0.694503848470929[/C][C]0.895928041290882[/C][/ROW]
[ROW][C]17[/C][C]85.2[/C][C]86.9099912235796[/C][C]115.766666666667[/C][C]0.75073415971995[/C][C]0.980324572589352[/C][/ROW]
[ROW][C]18[/C][C]133[/C][C]133.956359213744[/C][C]117.070833333333[/C][C]1.144233413222[/C][C]0.992860665821635[/C][/ROW]
[ROW][C]19[/C][C]136.6[/C][C]124.504556692129[/C][C]117.729166666667[/C][C]1.05755064965886[/C][C]1.0971485994507[/C][/ROW]
[ROW][C]20[/C][C]117.9[/C][C]126.039182754673[/C][C]117.958333333333[/C][C]1.06850596471641[/C][C]0.935423393132313[/C][/ROW]
[ROW][C]21[/C][C]106.3[/C][C]107.745835132272[/C][C]117.816666666667[/C][C]0.914521163946287[/C][C]0.986581057815397[/C][/ROW]
[ROW][C]22[/C][C]122.3[/C][C]116.264514417088[/C][C]118.091666666667[/C][C]0.984527678360778[/C][C]1.05191167410944[/C][/ROW]
[ROW][C]23[/C][C]125.5[/C][C]121.954979341802[/C][C]118.791666666667[/C][C]1.02662907899097[/C][C]1.02906827320484[/C][/ROW]
[ROW][C]24[/C][C]148.4[/C][C]145.712609005819[/C][C]119.329166666667[/C][C]1.22109801883434[/C][C]1.01844309159322[/C][/ROW]
[ROW][C]25[/C][C]126.3[/C][C]115.309809567876[/C][C]118.4875[/C][C]0.97318121800085[/C][C]1.09531010824934[/C][/ROW]
[ROW][C]26[/C][C]99.6[/C][C]111.791737416038[/C][C]117.4875[/C][C]0.95152026739898[/C][C]0.890942410433558[/C][/ROW]
[ROW][C]27[/C][C]140.4[/C][C]142.53191243877[/C][C]117.504166666667[/C][C]1.21299453867965[/C][C]0.98504256062876[/C][/ROW]
[ROW][C]28[/C][C]80.3[/C][C]81.1846061202163[/C][C]116.895833333333[/C][C]0.694503848470929[/C][C]0.989103770252868[/C][/ROW]
[ROW][C]29[/C][C]92.6[/C][C]87.463657666373[/C][C]116.504166666667[/C][C]0.75073415971995[/C][C]1.05872544632445[/C][/ROW]
[ROW][C]30[/C][C]138.5[/C][C]133.503433487677[/C][C]116.675[/C][C]1.144233413222[/C][C]1.03742650193925[/C][/ROW]
[ROW][C]31[/C][C]110.9[/C][C]122.301326172007[/C][C]115.645833333333[/C][C]1.05755064965886[/C][C]0.906776757629172[/C][/ROW]
[ROW][C]32[/C][C]119.6[/C][C]124.026829854457[/C][C]116.075[/C][C]1.06850596471641[/C][C]0.964307482021011[/C][/ROW]
[ROW][C]33[/C][C]105[/C][C]107.620088472229[/C][C]117.679166666667[/C][C]0.914521163946287[/C][C]0.975654280632698[/C][/ROW]
[ROW][C]34[/C][C]109[/C][C]116.047097888117[/C][C]117.870833333333[/C][C]0.984527678360778[/C][C]0.9392738119577[/C][/ROW]
[ROW][C]35[/C][C]129.4[/C][C]120.966848853273[/C][C]117.829166666667[/C][C]1.02662907899097[/C][C]1.06971456416919[/C][/ROW]
[ROW][C]36[/C][C]148.6[/C][C]143.916577336450[/C][C]117.858333333333[/C][C]1.22109801883434[/C][C]1.03254262122007[/C][/ROW]
[ROW][C]37[/C][C]101.4[/C][C]116.027530716151[/C][C]119.225[/C][C]0.97318121800085[/C][C]0.873930517818776[/C][/ROW]
[ROW][C]38[/C][C]134.8[/C][C]115.443196442181[/C][C]121.325[/C][C]0.95152026739898[/C][C]1.16767383574236[/C][/ROW]
[ROW][C]39[/C][C]143.7[/C][C]147.965117143272[/C][C]121.983333333333[/C][C]1.21299453867965[/C][C]0.971174846980031[/C][/ROW]
[ROW][C]40[/C][C]81.6[/C][C]85.0622526075123[/C][C]122.479166666667[/C][C]0.694503848470929[/C][C]0.959297426280402[/C][/ROW]
[ROW][C]41[/C][C]90.3[/C][C]92.1651303416192[/C][C]122.766666666667[/C][C]0.75073415971995[/C][C]0.979763167103373[/C][/ROW]
[ROW][C]42[/C][C]141.5[/C][C]139.343791534331[/C][C]121.779166666667[/C][C]1.144233413222[/C][C]1.01547401891341[/C][/ROW]
[ROW][C]43[/C][C]140.7[/C][C]128.510029777712[/C][C]121.516666666667[/C][C]1.05755064965886[/C][C]1.09485617771137[/C][/ROW]
[ROW][C]44[/C][C]140.2[/C][C]129.356003353480[/C][C]121.0625[/C][C]1.06850596471641[/C][C]1.08383064075416[/C][/ROW]
[ROW][C]45[/C][C]100.2[/C][C]110.131211168232[/C][C]120.425[/C][C]0.914521163946287[/C][C]0.90982382684359[/C][/ROW]
[ROW][C]46[/C][C]125.7[/C][C]119.341163411966[/C][C]121.216666666667[/C][C]0.984527678360778[/C][C]1.05328284395958[/C][/ROW]
[ROW][C]47[/C][C]119.6[/C][C]125.081920411562[/C][C]121.8375[/C][C]1.02662907899097[/C][C]0.956173359079195[/C][/ROW]
[ROW][C]48[/C][C]134.7[/C][C]148.251475303312[/C][C]121.408333333333[/C][C]1.22109801883434[/C][C]0.908591295462072[/C][/ROW]
[ROW][C]49[/C][C]109[/C][C]117.734652769394[/C][C]120.979166666667[/C][C]0.97318121800085[/C][C]0.925810689003323[/C][/ROW]
[ROW][C]50[/C][C]116.3[/C][C]114.634404214892[/C][C]120.475[/C][C]0.95152026739898[/C][C]1.01452963267455[/C][/ROW]
[ROW][C]51[/C][C]146.9[/C][C]146.191112630453[/C][C]120.520833333333[/C][C]1.21299453867965[/C][C]1.00484904558691[/C][/ROW]
[ROW][C]52[/C][C]97.4[/C][C]83.9481526839235[/C][C]120.875[/C][C]0.694503848470929[/C][C]1.16023994437048[/C][/ROW]
[ROW][C]53[/C][C]89.4[/C][C]90.6918145531688[/C][C]120.804166666667[/C][C]0.75073415971995[/C][C]0.985755996177456[/C][/ROW]
[ROW][C]54[/C][C]132.1[/C][C]137.775238230372[/C][C]120.408333333333[/C][C]1.144233413222[/C][C]0.958807995520335[/C][/ROW]
[ROW][C]55[/C][C]139.8[/C][C]NA[/C][C]NA[/C][C]1.05755064965886[/C][C]NA[/C][/ROW]
[ROW][C]56[/C][C]129[/C][C]NA[/C][C]NA[/C][C]1.06850596471641[/C][C]NA[/C][/ROW]
[ROW][C]57[/C][C]112.5[/C][C]NA[/C][C]NA[/C][C]0.914521163946287[/C][C]NA[/C][/ROW]
[ROW][C]58[/C][C]121.9[/C][C]NA[/C][C]NA[/C][C]0.984527678360778[/C][C]NA[/C][/ROW]
[ROW][C]59[/C][C]121.7[/C][C]NA[/C][C]NA[/C][C]1.02662907899097[/C][C]NA[/C][/ROW]
[ROW][C]60[/C][C]123.1[/C][C]NA[/C][C]NA[/C][C]1.22109801883434[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=62230&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=62230&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
tObservationsFitTrendSeasonalRandom
1105.7NANA0.97318121800085NA
2105.7NANA0.95152026739898NA
3111.1NANA1.21299453867965NA
482.4NANA0.694503848470929NA
560NANA0.75073415971995NA
6107.3NANA1.144233413222NA
799.3109.628344220261103.66251.057550649658860.905787647403394
8113.5111.164689304183104.03751.068505964716411.02100766628715
9108.996.1580898841023105.1458333333330.9145211639462871.13251001690295
10100.2104.364036104902106.0041666666670.9845276783607780.960100852167917
11103.9109.412994093463106.5751.026629078990970.949612985741408
12138.7132.728266738881108.6958333333331.221098018834341.04499217391927
13120.2108.335344172203111.3208333333330.973181218000851.10951786712320
14100.2107.577295565016113.0583333333330.951520267398980.931423303344173
15143.2137.230115475958113.1333333333331.212994538679651.04350272899893
1670.979.135819767227113.9458333333330.6945038484709290.895928041290882
1785.286.9099912235796115.7666666666670.750734159719950.980324572589352
18133133.956359213744117.0708333333331.1442334132220.992860665821635
19136.6124.504556692129117.7291666666671.057550649658861.0971485994507
20117.9126.039182754673117.9583333333331.068505964716410.935423393132313
21106.3107.745835132272117.8166666666670.9145211639462870.986581057815397
22122.3116.264514417088118.0916666666670.9845276783607781.05191167410944
23125.5121.954979341802118.7916666666671.026629078990971.02906827320484
24148.4145.712609005819119.3291666666671.221098018834341.01844309159322
25126.3115.309809567876118.48750.973181218000851.09531010824934
2699.6111.791737416038117.48750.951520267398980.890942410433558
27140.4142.53191243877117.5041666666671.212994538679650.98504256062876
2880.381.1846061202163116.8958333333330.6945038484709290.989103770252868
2992.687.463657666373116.5041666666670.750734159719951.05872544632445
30138.5133.503433487677116.6751.1442334132221.03742650193925
31110.9122.301326172007115.6458333333331.057550649658860.906776757629172
32119.6124.026829854457116.0751.068505964716410.964307482021011
33105107.620088472229117.6791666666670.9145211639462870.975654280632698
34109116.047097888117117.8708333333330.9845276783607780.9392738119577
35129.4120.966848853273117.8291666666671.026629078990971.06971456416919
36148.6143.916577336450117.8583333333331.221098018834341.03254262122007
37101.4116.027530716151119.2250.973181218000850.873930517818776
38134.8115.443196442181121.3250.951520267398981.16767383574236
39143.7147.965117143272121.9833333333331.212994538679650.971174846980031
4081.685.0622526075123122.4791666666670.6945038484709290.959297426280402
4190.392.1651303416192122.7666666666670.750734159719950.979763167103373
42141.5139.343791534331121.7791666666671.1442334132221.01547401891341
43140.7128.510029777712121.5166666666671.057550649658861.09485617771137
44140.2129.356003353480121.06251.068505964716411.08383064075416
45100.2110.131211168232120.4250.9145211639462870.90982382684359
46125.7119.341163411966121.2166666666670.9845276783607781.05328284395958
47119.6125.081920411562121.83751.026629078990970.956173359079195
48134.7148.251475303312121.4083333333331.221098018834340.908591295462072
49109117.734652769394120.9791666666670.973181218000850.925810689003323
50116.3114.634404214892120.4750.951520267398981.01452963267455
51146.9146.191112630453120.5208333333331.212994538679651.00484904558691
5297.483.9481526839235120.8750.6945038484709291.16023994437048
5389.490.6918145531688120.8041666666670.750734159719950.985755996177456
54132.1137.775238230372120.4083333333331.1442334132220.958807995520335
55139.8NANA1.05755064965886NA
56129NANA1.06850596471641NA
57112.5NANA0.914521163946287NA
58121.9NANA0.984527678360778NA
59121.7NANA1.02662907899097NA
60123.1NANA1.22109801883434NA



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')