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Author's title

Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationFri, 06 Dec 2013 14:04:59 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2013/Dec/06/t1386356830h12si4wjoe6g2i6.htm/, Retrieved Fri, 26 Apr 2024 23:08:30 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=231344, Retrieved Fri, 26 Apr 2024 23:08:30 +0000
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Original text written by user:
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User-defined keywords
Estimated Impact82
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [] [2013-12-06 19:04:59] [4a7f7842fc88d649abcd00dd10ef7b6c] [Current]
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Dataseries X:
125
123
117
114
111
112
144
150
149
134
123
116
117
111
105
102
95
93
124
130
124
115
106
105
105
101
95
93
84
87
116
120
117
109
105
107
109
109
108
107
99
103
131
137
135
124
118
121
121
118
113
107
100
102
130
136
133
120
112
109
110
106
102
98
92
92
120
127
124
114
108
106
111
110
104
100
96
98
122
134
133
125
118
116




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time6 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 6 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=231344&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]6 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=231344&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=231344&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 time6 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
1125NANA0.998818NA
2123NANA0.974412NA
3117NANA0.934317NA
4114NANA0.906059NA
5111NANA0.845258NA
6112NANA0.858911NA
7144141.676126.1671.122931.0164
8150147.413125.3331.176161.01755
9149143.083124.3331.15081.04136
10134130.236123.3331.055971.0289
11123121.322122.1670.9930851.01383
12116118.69120.7080.9832830.977333
13117118.943119.0830.9988180.983668
14111114.412117.4170.9744120.970176
15105107.953115.5420.9343170.97265
16102103.026113.7080.9060590.990037
179594.845112.2080.8452581.00163
189395.3749111.0420.8589110.9751
19124123.616110.0831.122931.00311
20130128.398109.1671.176161.01248
21124124.67108.3331.15080.994627
22115113.561107.5421.055971.01267
23106105.97106.7080.9930851.00028
24105104.2281060.9832831.00741
25105105.292105.4170.9988180.997226
26101101.988104.6670.9744120.990308
279597.13103.9580.9343170.97807
289393.7016103.4170.9060590.992512
298487.1672103.1250.8452580.963665
308788.6109103.1670.8589110.98182
31116116.129103.4171.122930.998886
32120122.223103.9171.176160.981811
33117120.594104.7921.15080.970197
34109111.845105.9171.055970.974566
35105106.384107.1250.9930850.986989
36107106.604108.4170.9832831.00371
37109109.579109.7080.9988180.994719
38109108.2111.0420.9744121.00739
39108105.111112.50.9343171.02749
40107103.177113.8750.9060591.03705
419997.2399115.0420.8452581.0181
4210399.7768116.1670.8589111.0323
43131131.663117.251.122930.994963
44137138.934118.1251.176160.986077
45135136.609118.7081.15080.988219
46124125.572118.9171.055970.987479
47118118.136118.9580.9930850.998851
48121116.97118.9580.9832831.03446
49121118.734118.8750.9988181.01908
50118115.752118.7920.9744121.01942
51113110.872118.6670.9343171.01919
52107107.292118.4170.9060590.997274
5310099.74051180.8452581.0026
54102100.707117.250.8589111.01284
55130130.587116.2921.122930.995504
56136135.651115.3331.176161.00257
57133131.623114.3751.15081.01046
58120119.896113.5421.055971.00086
59112112.053112.8330.9930850.999527
60109110.21112.0830.9832830.989025
61110111.118111.250.9988180.989934
62106107.632110.4580.9744120.984838
63102102.502109.7080.9343170.995099
649898.8359109.0830.9060590.991542
659291.8514108.6670.8452581.00162
669293.0844108.3750.8589110.98835
67120121.604108.2921.122930.986813
68127127.614108.51.176160.99519
69124125.149108.751.15080.990816
70114115.013108.9171.055970.991196
71108108.412109.1670.9930850.996202
72106107.751109.5830.9832830.983746
73111109.787109.9170.9988181.01105
74110107.47110.2920.9744121.02355
75104103.67110.9580.9343171.00318
76100101.29111.7920.9060590.987266
779695.2324112.6670.8452581.00806
789897.4863113.50.8589111.00527
79122NANA1.12293NA
80134NANA1.17616NA
81133NANA1.1508NA
82125NANA1.05597NA
83118NANA0.993085NA
84116NANA0.983283NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 125 & NA & NA & 0.998818 & NA \tabularnewline
2 & 123 & NA & NA & 0.974412 & NA \tabularnewline
3 & 117 & NA & NA & 0.934317 & NA \tabularnewline
4 & 114 & NA & NA & 0.906059 & NA \tabularnewline
5 & 111 & NA & NA & 0.845258 & NA \tabularnewline
6 & 112 & NA & NA & 0.858911 & NA \tabularnewline
7 & 144 & 141.676 & 126.167 & 1.12293 & 1.0164 \tabularnewline
8 & 150 & 147.413 & 125.333 & 1.17616 & 1.01755 \tabularnewline
9 & 149 & 143.083 & 124.333 & 1.1508 & 1.04136 \tabularnewline
10 & 134 & 130.236 & 123.333 & 1.05597 & 1.0289 \tabularnewline
11 & 123 & 121.322 & 122.167 & 0.993085 & 1.01383 \tabularnewline
12 & 116 & 118.69 & 120.708 & 0.983283 & 0.977333 \tabularnewline
13 & 117 & 118.943 & 119.083 & 0.998818 & 0.983668 \tabularnewline
14 & 111 & 114.412 & 117.417 & 0.974412 & 0.970176 \tabularnewline
15 & 105 & 107.953 & 115.542 & 0.934317 & 0.97265 \tabularnewline
16 & 102 & 103.026 & 113.708 & 0.906059 & 0.990037 \tabularnewline
17 & 95 & 94.845 & 112.208 & 0.845258 & 1.00163 \tabularnewline
18 & 93 & 95.3749 & 111.042 & 0.858911 & 0.9751 \tabularnewline
19 & 124 & 123.616 & 110.083 & 1.12293 & 1.00311 \tabularnewline
20 & 130 & 128.398 & 109.167 & 1.17616 & 1.01248 \tabularnewline
21 & 124 & 124.67 & 108.333 & 1.1508 & 0.994627 \tabularnewline
22 & 115 & 113.561 & 107.542 & 1.05597 & 1.01267 \tabularnewline
23 & 106 & 105.97 & 106.708 & 0.993085 & 1.00028 \tabularnewline
24 & 105 & 104.228 & 106 & 0.983283 & 1.00741 \tabularnewline
25 & 105 & 105.292 & 105.417 & 0.998818 & 0.997226 \tabularnewline
26 & 101 & 101.988 & 104.667 & 0.974412 & 0.990308 \tabularnewline
27 & 95 & 97.13 & 103.958 & 0.934317 & 0.97807 \tabularnewline
28 & 93 & 93.7016 & 103.417 & 0.906059 & 0.992512 \tabularnewline
29 & 84 & 87.1672 & 103.125 & 0.845258 & 0.963665 \tabularnewline
30 & 87 & 88.6109 & 103.167 & 0.858911 & 0.98182 \tabularnewline
31 & 116 & 116.129 & 103.417 & 1.12293 & 0.998886 \tabularnewline
32 & 120 & 122.223 & 103.917 & 1.17616 & 0.981811 \tabularnewline
33 & 117 & 120.594 & 104.792 & 1.1508 & 0.970197 \tabularnewline
34 & 109 & 111.845 & 105.917 & 1.05597 & 0.974566 \tabularnewline
35 & 105 & 106.384 & 107.125 & 0.993085 & 0.986989 \tabularnewline
36 & 107 & 106.604 & 108.417 & 0.983283 & 1.00371 \tabularnewline
37 & 109 & 109.579 & 109.708 & 0.998818 & 0.994719 \tabularnewline
38 & 109 & 108.2 & 111.042 & 0.974412 & 1.00739 \tabularnewline
39 & 108 & 105.111 & 112.5 & 0.934317 & 1.02749 \tabularnewline
40 & 107 & 103.177 & 113.875 & 0.906059 & 1.03705 \tabularnewline
41 & 99 & 97.2399 & 115.042 & 0.845258 & 1.0181 \tabularnewline
42 & 103 & 99.7768 & 116.167 & 0.858911 & 1.0323 \tabularnewline
43 & 131 & 131.663 & 117.25 & 1.12293 & 0.994963 \tabularnewline
44 & 137 & 138.934 & 118.125 & 1.17616 & 0.986077 \tabularnewline
45 & 135 & 136.609 & 118.708 & 1.1508 & 0.988219 \tabularnewline
46 & 124 & 125.572 & 118.917 & 1.05597 & 0.987479 \tabularnewline
47 & 118 & 118.136 & 118.958 & 0.993085 & 0.998851 \tabularnewline
48 & 121 & 116.97 & 118.958 & 0.983283 & 1.03446 \tabularnewline
49 & 121 & 118.734 & 118.875 & 0.998818 & 1.01908 \tabularnewline
50 & 118 & 115.752 & 118.792 & 0.974412 & 1.01942 \tabularnewline
51 & 113 & 110.872 & 118.667 & 0.934317 & 1.01919 \tabularnewline
52 & 107 & 107.292 & 118.417 & 0.906059 & 0.997274 \tabularnewline
53 & 100 & 99.7405 & 118 & 0.845258 & 1.0026 \tabularnewline
54 & 102 & 100.707 & 117.25 & 0.858911 & 1.01284 \tabularnewline
55 & 130 & 130.587 & 116.292 & 1.12293 & 0.995504 \tabularnewline
56 & 136 & 135.651 & 115.333 & 1.17616 & 1.00257 \tabularnewline
57 & 133 & 131.623 & 114.375 & 1.1508 & 1.01046 \tabularnewline
58 & 120 & 119.896 & 113.542 & 1.05597 & 1.00086 \tabularnewline
59 & 112 & 112.053 & 112.833 & 0.993085 & 0.999527 \tabularnewline
60 & 109 & 110.21 & 112.083 & 0.983283 & 0.989025 \tabularnewline
61 & 110 & 111.118 & 111.25 & 0.998818 & 0.989934 \tabularnewline
62 & 106 & 107.632 & 110.458 & 0.974412 & 0.984838 \tabularnewline
63 & 102 & 102.502 & 109.708 & 0.934317 & 0.995099 \tabularnewline
64 & 98 & 98.8359 & 109.083 & 0.906059 & 0.991542 \tabularnewline
65 & 92 & 91.8514 & 108.667 & 0.845258 & 1.00162 \tabularnewline
66 & 92 & 93.0844 & 108.375 & 0.858911 & 0.98835 \tabularnewline
67 & 120 & 121.604 & 108.292 & 1.12293 & 0.986813 \tabularnewline
68 & 127 & 127.614 & 108.5 & 1.17616 & 0.99519 \tabularnewline
69 & 124 & 125.149 & 108.75 & 1.1508 & 0.990816 \tabularnewline
70 & 114 & 115.013 & 108.917 & 1.05597 & 0.991196 \tabularnewline
71 & 108 & 108.412 & 109.167 & 0.993085 & 0.996202 \tabularnewline
72 & 106 & 107.751 & 109.583 & 0.983283 & 0.983746 \tabularnewline
73 & 111 & 109.787 & 109.917 & 0.998818 & 1.01105 \tabularnewline
74 & 110 & 107.47 & 110.292 & 0.974412 & 1.02355 \tabularnewline
75 & 104 & 103.67 & 110.958 & 0.934317 & 1.00318 \tabularnewline
76 & 100 & 101.29 & 111.792 & 0.906059 & 0.987266 \tabularnewline
77 & 96 & 95.2324 & 112.667 & 0.845258 & 1.00806 \tabularnewline
78 & 98 & 97.4863 & 113.5 & 0.858911 & 1.00527 \tabularnewline
79 & 122 & NA & NA & 1.12293 & NA \tabularnewline
80 & 134 & NA & NA & 1.17616 & NA \tabularnewline
81 & 133 & NA & NA & 1.1508 & NA \tabularnewline
82 & 125 & NA & NA & 1.05597 & NA \tabularnewline
83 & 118 & NA & NA & 0.993085 & NA \tabularnewline
84 & 116 & NA & NA & 0.983283 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=231344&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]125[/C][C]NA[/C][C]NA[/C][C]0.998818[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]123[/C][C]NA[/C][C]NA[/C][C]0.974412[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]117[/C][C]NA[/C][C]NA[/C][C]0.934317[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]114[/C][C]NA[/C][C]NA[/C][C]0.906059[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]111[/C][C]NA[/C][C]NA[/C][C]0.845258[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]112[/C][C]NA[/C][C]NA[/C][C]0.858911[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]144[/C][C]141.676[/C][C]126.167[/C][C]1.12293[/C][C]1.0164[/C][/ROW]
[ROW][C]8[/C][C]150[/C][C]147.413[/C][C]125.333[/C][C]1.17616[/C][C]1.01755[/C][/ROW]
[ROW][C]9[/C][C]149[/C][C]143.083[/C][C]124.333[/C][C]1.1508[/C][C]1.04136[/C][/ROW]
[ROW][C]10[/C][C]134[/C][C]130.236[/C][C]123.333[/C][C]1.05597[/C][C]1.0289[/C][/ROW]
[ROW][C]11[/C][C]123[/C][C]121.322[/C][C]122.167[/C][C]0.993085[/C][C]1.01383[/C][/ROW]
[ROW][C]12[/C][C]116[/C][C]118.69[/C][C]120.708[/C][C]0.983283[/C][C]0.977333[/C][/ROW]
[ROW][C]13[/C][C]117[/C][C]118.943[/C][C]119.083[/C][C]0.998818[/C][C]0.983668[/C][/ROW]
[ROW][C]14[/C][C]111[/C][C]114.412[/C][C]117.417[/C][C]0.974412[/C][C]0.970176[/C][/ROW]
[ROW][C]15[/C][C]105[/C][C]107.953[/C][C]115.542[/C][C]0.934317[/C][C]0.97265[/C][/ROW]
[ROW][C]16[/C][C]102[/C][C]103.026[/C][C]113.708[/C][C]0.906059[/C][C]0.990037[/C][/ROW]
[ROW][C]17[/C][C]95[/C][C]94.845[/C][C]112.208[/C][C]0.845258[/C][C]1.00163[/C][/ROW]
[ROW][C]18[/C][C]93[/C][C]95.3749[/C][C]111.042[/C][C]0.858911[/C][C]0.9751[/C][/ROW]
[ROW][C]19[/C][C]124[/C][C]123.616[/C][C]110.083[/C][C]1.12293[/C][C]1.00311[/C][/ROW]
[ROW][C]20[/C][C]130[/C][C]128.398[/C][C]109.167[/C][C]1.17616[/C][C]1.01248[/C][/ROW]
[ROW][C]21[/C][C]124[/C][C]124.67[/C][C]108.333[/C][C]1.1508[/C][C]0.994627[/C][/ROW]
[ROW][C]22[/C][C]115[/C][C]113.561[/C][C]107.542[/C][C]1.05597[/C][C]1.01267[/C][/ROW]
[ROW][C]23[/C][C]106[/C][C]105.97[/C][C]106.708[/C][C]0.993085[/C][C]1.00028[/C][/ROW]
[ROW][C]24[/C][C]105[/C][C]104.228[/C][C]106[/C][C]0.983283[/C][C]1.00741[/C][/ROW]
[ROW][C]25[/C][C]105[/C][C]105.292[/C][C]105.417[/C][C]0.998818[/C][C]0.997226[/C][/ROW]
[ROW][C]26[/C][C]101[/C][C]101.988[/C][C]104.667[/C][C]0.974412[/C][C]0.990308[/C][/ROW]
[ROW][C]27[/C][C]95[/C][C]97.13[/C][C]103.958[/C][C]0.934317[/C][C]0.97807[/C][/ROW]
[ROW][C]28[/C][C]93[/C][C]93.7016[/C][C]103.417[/C][C]0.906059[/C][C]0.992512[/C][/ROW]
[ROW][C]29[/C][C]84[/C][C]87.1672[/C][C]103.125[/C][C]0.845258[/C][C]0.963665[/C][/ROW]
[ROW][C]30[/C][C]87[/C][C]88.6109[/C][C]103.167[/C][C]0.858911[/C][C]0.98182[/C][/ROW]
[ROW][C]31[/C][C]116[/C][C]116.129[/C][C]103.417[/C][C]1.12293[/C][C]0.998886[/C][/ROW]
[ROW][C]32[/C][C]120[/C][C]122.223[/C][C]103.917[/C][C]1.17616[/C][C]0.981811[/C][/ROW]
[ROW][C]33[/C][C]117[/C][C]120.594[/C][C]104.792[/C][C]1.1508[/C][C]0.970197[/C][/ROW]
[ROW][C]34[/C][C]109[/C][C]111.845[/C][C]105.917[/C][C]1.05597[/C][C]0.974566[/C][/ROW]
[ROW][C]35[/C][C]105[/C][C]106.384[/C][C]107.125[/C][C]0.993085[/C][C]0.986989[/C][/ROW]
[ROW][C]36[/C][C]107[/C][C]106.604[/C][C]108.417[/C][C]0.983283[/C][C]1.00371[/C][/ROW]
[ROW][C]37[/C][C]109[/C][C]109.579[/C][C]109.708[/C][C]0.998818[/C][C]0.994719[/C][/ROW]
[ROW][C]38[/C][C]109[/C][C]108.2[/C][C]111.042[/C][C]0.974412[/C][C]1.00739[/C][/ROW]
[ROW][C]39[/C][C]108[/C][C]105.111[/C][C]112.5[/C][C]0.934317[/C][C]1.02749[/C][/ROW]
[ROW][C]40[/C][C]107[/C][C]103.177[/C][C]113.875[/C][C]0.906059[/C][C]1.03705[/C][/ROW]
[ROW][C]41[/C][C]99[/C][C]97.2399[/C][C]115.042[/C][C]0.845258[/C][C]1.0181[/C][/ROW]
[ROW][C]42[/C][C]103[/C][C]99.7768[/C][C]116.167[/C][C]0.858911[/C][C]1.0323[/C][/ROW]
[ROW][C]43[/C][C]131[/C][C]131.663[/C][C]117.25[/C][C]1.12293[/C][C]0.994963[/C][/ROW]
[ROW][C]44[/C][C]137[/C][C]138.934[/C][C]118.125[/C][C]1.17616[/C][C]0.986077[/C][/ROW]
[ROW][C]45[/C][C]135[/C][C]136.609[/C][C]118.708[/C][C]1.1508[/C][C]0.988219[/C][/ROW]
[ROW][C]46[/C][C]124[/C][C]125.572[/C][C]118.917[/C][C]1.05597[/C][C]0.987479[/C][/ROW]
[ROW][C]47[/C][C]118[/C][C]118.136[/C][C]118.958[/C][C]0.993085[/C][C]0.998851[/C][/ROW]
[ROW][C]48[/C][C]121[/C][C]116.97[/C][C]118.958[/C][C]0.983283[/C][C]1.03446[/C][/ROW]
[ROW][C]49[/C][C]121[/C][C]118.734[/C][C]118.875[/C][C]0.998818[/C][C]1.01908[/C][/ROW]
[ROW][C]50[/C][C]118[/C][C]115.752[/C][C]118.792[/C][C]0.974412[/C][C]1.01942[/C][/ROW]
[ROW][C]51[/C][C]113[/C][C]110.872[/C][C]118.667[/C][C]0.934317[/C][C]1.01919[/C][/ROW]
[ROW][C]52[/C][C]107[/C][C]107.292[/C][C]118.417[/C][C]0.906059[/C][C]0.997274[/C][/ROW]
[ROW][C]53[/C][C]100[/C][C]99.7405[/C][C]118[/C][C]0.845258[/C][C]1.0026[/C][/ROW]
[ROW][C]54[/C][C]102[/C][C]100.707[/C][C]117.25[/C][C]0.858911[/C][C]1.01284[/C][/ROW]
[ROW][C]55[/C][C]130[/C][C]130.587[/C][C]116.292[/C][C]1.12293[/C][C]0.995504[/C][/ROW]
[ROW][C]56[/C][C]136[/C][C]135.651[/C][C]115.333[/C][C]1.17616[/C][C]1.00257[/C][/ROW]
[ROW][C]57[/C][C]133[/C][C]131.623[/C][C]114.375[/C][C]1.1508[/C][C]1.01046[/C][/ROW]
[ROW][C]58[/C][C]120[/C][C]119.896[/C][C]113.542[/C][C]1.05597[/C][C]1.00086[/C][/ROW]
[ROW][C]59[/C][C]112[/C][C]112.053[/C][C]112.833[/C][C]0.993085[/C][C]0.999527[/C][/ROW]
[ROW][C]60[/C][C]109[/C][C]110.21[/C][C]112.083[/C][C]0.983283[/C][C]0.989025[/C][/ROW]
[ROW][C]61[/C][C]110[/C][C]111.118[/C][C]111.25[/C][C]0.998818[/C][C]0.989934[/C][/ROW]
[ROW][C]62[/C][C]106[/C][C]107.632[/C][C]110.458[/C][C]0.974412[/C][C]0.984838[/C][/ROW]
[ROW][C]63[/C][C]102[/C][C]102.502[/C][C]109.708[/C][C]0.934317[/C][C]0.995099[/C][/ROW]
[ROW][C]64[/C][C]98[/C][C]98.8359[/C][C]109.083[/C][C]0.906059[/C][C]0.991542[/C][/ROW]
[ROW][C]65[/C][C]92[/C][C]91.8514[/C][C]108.667[/C][C]0.845258[/C][C]1.00162[/C][/ROW]
[ROW][C]66[/C][C]92[/C][C]93.0844[/C][C]108.375[/C][C]0.858911[/C][C]0.98835[/C][/ROW]
[ROW][C]67[/C][C]120[/C][C]121.604[/C][C]108.292[/C][C]1.12293[/C][C]0.986813[/C][/ROW]
[ROW][C]68[/C][C]127[/C][C]127.614[/C][C]108.5[/C][C]1.17616[/C][C]0.99519[/C][/ROW]
[ROW][C]69[/C][C]124[/C][C]125.149[/C][C]108.75[/C][C]1.1508[/C][C]0.990816[/C][/ROW]
[ROW][C]70[/C][C]114[/C][C]115.013[/C][C]108.917[/C][C]1.05597[/C][C]0.991196[/C][/ROW]
[ROW][C]71[/C][C]108[/C][C]108.412[/C][C]109.167[/C][C]0.993085[/C][C]0.996202[/C][/ROW]
[ROW][C]72[/C][C]106[/C][C]107.751[/C][C]109.583[/C][C]0.983283[/C][C]0.983746[/C][/ROW]
[ROW][C]73[/C][C]111[/C][C]109.787[/C][C]109.917[/C][C]0.998818[/C][C]1.01105[/C][/ROW]
[ROW][C]74[/C][C]110[/C][C]107.47[/C][C]110.292[/C][C]0.974412[/C][C]1.02355[/C][/ROW]
[ROW][C]75[/C][C]104[/C][C]103.67[/C][C]110.958[/C][C]0.934317[/C][C]1.00318[/C][/ROW]
[ROW][C]76[/C][C]100[/C][C]101.29[/C][C]111.792[/C][C]0.906059[/C][C]0.987266[/C][/ROW]
[ROW][C]77[/C][C]96[/C][C]95.2324[/C][C]112.667[/C][C]0.845258[/C][C]1.00806[/C][/ROW]
[ROW][C]78[/C][C]98[/C][C]97.4863[/C][C]113.5[/C][C]0.858911[/C][C]1.00527[/C][/ROW]
[ROW][C]79[/C][C]122[/C][C]NA[/C][C]NA[/C][C]1.12293[/C][C]NA[/C][/ROW]
[ROW][C]80[/C][C]134[/C][C]NA[/C][C]NA[/C][C]1.17616[/C][C]NA[/C][/ROW]
[ROW][C]81[/C][C]133[/C][C]NA[/C][C]NA[/C][C]1.1508[/C][C]NA[/C][/ROW]
[ROW][C]82[/C][C]125[/C][C]NA[/C][C]NA[/C][C]1.05597[/C][C]NA[/C][/ROW]
[ROW][C]83[/C][C]118[/C][C]NA[/C][C]NA[/C][C]0.993085[/C][C]NA[/C][/ROW]
[ROW][C]84[/C][C]116[/C][C]NA[/C][C]NA[/C][C]0.983283[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=231344&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=231344&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
1125NANA0.998818NA
2123NANA0.974412NA
3117NANA0.934317NA
4114NANA0.906059NA
5111NANA0.845258NA
6112NANA0.858911NA
7144141.676126.1671.122931.0164
8150147.413125.3331.176161.01755
9149143.083124.3331.15081.04136
10134130.236123.3331.055971.0289
11123121.322122.1670.9930851.01383
12116118.69120.7080.9832830.977333
13117118.943119.0830.9988180.983668
14111114.412117.4170.9744120.970176
15105107.953115.5420.9343170.97265
16102103.026113.7080.9060590.990037
179594.845112.2080.8452581.00163
189395.3749111.0420.8589110.9751
19124123.616110.0831.122931.00311
20130128.398109.1671.176161.01248
21124124.67108.3331.15080.994627
22115113.561107.5421.055971.01267
23106105.97106.7080.9930851.00028
24105104.2281060.9832831.00741
25105105.292105.4170.9988180.997226
26101101.988104.6670.9744120.990308
279597.13103.9580.9343170.97807
289393.7016103.4170.9060590.992512
298487.1672103.1250.8452580.963665
308788.6109103.1670.8589110.98182
31116116.129103.4171.122930.998886
32120122.223103.9171.176160.981811
33117120.594104.7921.15080.970197
34109111.845105.9171.055970.974566
35105106.384107.1250.9930850.986989
36107106.604108.4170.9832831.00371
37109109.579109.7080.9988180.994719
38109108.2111.0420.9744121.00739
39108105.111112.50.9343171.02749
40107103.177113.8750.9060591.03705
419997.2399115.0420.8452581.0181
4210399.7768116.1670.8589111.0323
43131131.663117.251.122930.994963
44137138.934118.1251.176160.986077
45135136.609118.7081.15080.988219
46124125.572118.9171.055970.987479
47118118.136118.9580.9930850.998851
48121116.97118.9580.9832831.03446
49121118.734118.8750.9988181.01908
50118115.752118.7920.9744121.01942
51113110.872118.6670.9343171.01919
52107107.292118.4170.9060590.997274
5310099.74051180.8452581.0026
54102100.707117.250.8589111.01284
55130130.587116.2921.122930.995504
56136135.651115.3331.176161.00257
57133131.623114.3751.15081.01046
58120119.896113.5421.055971.00086
59112112.053112.8330.9930850.999527
60109110.21112.0830.9832830.989025
61110111.118111.250.9988180.989934
62106107.632110.4580.9744120.984838
63102102.502109.7080.9343170.995099
649898.8359109.0830.9060590.991542
659291.8514108.6670.8452581.00162
669293.0844108.3750.8589110.98835
67120121.604108.2921.122930.986813
68127127.614108.51.176160.99519
69124125.149108.751.15080.990816
70114115.013108.9171.055970.991196
71108108.412109.1670.9930850.996202
72106107.751109.5830.9832830.983746
73111109.787109.9170.9988181.01105
74110107.47110.2920.9744121.02355
75104103.67110.9580.9343171.00318
76100101.29111.7920.9060590.987266
779695.2324112.6670.8452581.00806
789897.4863113.50.8589111.00527
79122NANA1.12293NA
80134NANA1.17616NA
81133NANA1.1508NA
82125NANA1.05597NA
83118NANA0.993085NA
84116NANA0.983283NA



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$trend)) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
if (par1 == 'additive') a<-table.element(a,signif(m$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')