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R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationSun, 30 Nov 2014 13:30:08 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2014/Nov/30/t14173542230kc5u3e4owm1jx0.htm/, Retrieved Fri, 17 May 2024 06:40:26 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=261402, Retrieved Fri, 17 May 2024 06:40:26 +0000
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Original text written by user:
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Estimated Impact73
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [] [2014-11-30 13:30:08] [959220cfe8d8b51f3b8cc01ba011fecd] [Current]
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Dataseries X:
123
146
156
127
128
147
128
139
130
118
147
98
141
138
130
145
123
116
90
110
102
109
111
93
120
81
84
87
110
90
108
101
87
118
82
86
103
93
83
91
69
95
96
105
121
101
111
130
134
161
186
244
145
170
164
124
154
126
173
140
142
129
171
107
98
185
142
135
126
126
134
119
134
133
129
96
150
113
99
164
127
148
166
115
199
141
149
131
171
178
181
129
112
186
153
116
190
169
165
160
202
155
257
171
168
202
189
132




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 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 & 3 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=261402&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]3 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=261402&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=261402&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 time3 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
1123NANA1.11672NA
2146NANA0.993203NA
3156NANA1.03099NA
4127NANA0.996346NA
5128NANA0.995852NA
6147NANA1.03164NA
7128130.7331330.9829550.979095
8139132.406133.4170.9924251.0498
9130124.0791320.9399891.04772
10118132.871131.6671.009150.888079
11147137.168132.2081.037521.07168
1298114.137130.7080.8732160.85862
13141142.754127.8331.116720.987711
14138124.192125.0420.9932031.11118
15130126.468122.6671.030991.02793
16145120.682121.1250.9963461.2015
17123118.755119.250.9958521.03574
18116121.261117.5421.031640.956614
1990114.473116.4580.9829550.78621
20110112.351113.2080.9924250.979076
21102102.381108.9170.9399890.996283
22109105.54104.5831.009151.03278
23111105.438101.6251.037521.05276
249387.32161000.8732161.06503
25120111.399.66671.116721.07817
268199.3617100.0420.9932030.815203
2784102.11199.04171.030990.822638
288798.430798.79170.9963460.883871
2911097.55297.95830.9958521.1276
309099.510696.45831.031640.904427
3110893.831295.45830.9829551.151
3210194.528595.250.9924251.06846
338789.964895.70830.9399890.967045
3411896.709995.83331.009151.22014
358297.829194.29171.037520.838197
368681.027292.79170.8732161.06137
37103103.29792.51.116720.997127
389391.540292.16670.9932031.01595
398396.654993.751.030990.858725
409194.113294.45830.9963460.966921
416994.564494.95830.9958520.729661
4295101.101981.031640.939654
439699.4013101.1250.9829550.965782
44105104.453105.250.9924251.00524
45121105.631112.3750.9399891.14549
46101124.167123.0421.009150.81342
47111137.557132.5831.037520.806937
48130121.268138.8750.8732161.07201
49134161.739144.8331.116720.828497
50161147.449148.4580.9932031.0919
51186155.292150.6251.030991.19774
52244152.482153.0420.9963461.60018
53145156.017156.6670.9958520.929387
54170164.719159.6671.031641.03206
55164157.682160.4170.9829551.04007
56124158.209159.4170.9924250.783773
57154148.009157.4580.9399891.04048
58126152.507151.1251.009150.82619
59173148.84143.4581.037521.16232
60140124.106142.1250.8732161.12807
61142158.388141.8331.116720.89653
62129140.414141.3750.9932030.918711
63171145.025140.6671.030991.1791
64107138.99139.50.9963460.769838
6598137.303137.8750.9958520.71375
66185139.659135.3751.031641.32466
67142131.88134.1670.9829551.07674
68135132.9851340.9924251.01515
69126124.47132.4170.9399891.01229
70126131.399130.2081.009150.958909
71134136.866131.9171.037520.979063
72119114.464131.0830.8732161.03963
73134141.033126.2921.116720.950134
74133124.854125.7080.9932031.06524
75129130.892126.9581.030990.985544
7696127.449127.9170.9963460.753241
77150129.627130.1670.9958521.15717
78113135.489131.3331.031640.834015
7999131.593133.8750.9829550.752319
80164135.88136.9170.9924251.20695
81127129.797138.0830.9399890.978452
82148141.659140.3751.009151.04476
83166148.062142.7081.037521.12115
84115127.744146.2920.8732160.900237
85199170.207152.4171.116721.16916
86141153.326154.3750.9932030.919611
87149157.01152.2921.030990.948981
88131152.69153.250.9963460.857947
89171153.652154.2920.9958521.11291
90178158.658153.7921.031641.12191
91181150.843153.4580.9829551.19993
92129153.082154.250.9924250.842688
93112146.717156.0830.9399890.763376
94186159.403157.9581.009151.16685
95153166.478160.4581.037520.91904
96116140.406160.7920.8732160.826177
97190182.0261631.116721.04381
98169166.775167.9170.9932031.01334
99165177.3291721.030990.930471
100160174.3611750.9963460.917639
101202176.432177.1670.9958521.14492
102155185.008179.3331.031640.837802
103257NANA0.982955NA
104171NANA0.992425NA
105168NANA0.939989NA
106202NANA1.00915NA
107189NANA1.03752NA
108132NANA0.873216NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 123 & NA & NA & 1.11672 & NA \tabularnewline
2 & 146 & NA & NA & 0.993203 & NA \tabularnewline
3 & 156 & NA & NA & 1.03099 & NA \tabularnewline
4 & 127 & NA & NA & 0.996346 & NA \tabularnewline
5 & 128 & NA & NA & 0.995852 & NA \tabularnewline
6 & 147 & NA & NA & 1.03164 & NA \tabularnewline
7 & 128 & 130.733 & 133 & 0.982955 & 0.979095 \tabularnewline
8 & 139 & 132.406 & 133.417 & 0.992425 & 1.0498 \tabularnewline
9 & 130 & 124.079 & 132 & 0.939989 & 1.04772 \tabularnewline
10 & 118 & 132.871 & 131.667 & 1.00915 & 0.888079 \tabularnewline
11 & 147 & 137.168 & 132.208 & 1.03752 & 1.07168 \tabularnewline
12 & 98 & 114.137 & 130.708 & 0.873216 & 0.85862 \tabularnewline
13 & 141 & 142.754 & 127.833 & 1.11672 & 0.987711 \tabularnewline
14 & 138 & 124.192 & 125.042 & 0.993203 & 1.11118 \tabularnewline
15 & 130 & 126.468 & 122.667 & 1.03099 & 1.02793 \tabularnewline
16 & 145 & 120.682 & 121.125 & 0.996346 & 1.2015 \tabularnewline
17 & 123 & 118.755 & 119.25 & 0.995852 & 1.03574 \tabularnewline
18 & 116 & 121.261 & 117.542 & 1.03164 & 0.956614 \tabularnewline
19 & 90 & 114.473 & 116.458 & 0.982955 & 0.78621 \tabularnewline
20 & 110 & 112.351 & 113.208 & 0.992425 & 0.979076 \tabularnewline
21 & 102 & 102.381 & 108.917 & 0.939989 & 0.996283 \tabularnewline
22 & 109 & 105.54 & 104.583 & 1.00915 & 1.03278 \tabularnewline
23 & 111 & 105.438 & 101.625 & 1.03752 & 1.05276 \tabularnewline
24 & 93 & 87.3216 & 100 & 0.873216 & 1.06503 \tabularnewline
25 & 120 & 111.3 & 99.6667 & 1.11672 & 1.07817 \tabularnewline
26 & 81 & 99.3617 & 100.042 & 0.993203 & 0.815203 \tabularnewline
27 & 84 & 102.111 & 99.0417 & 1.03099 & 0.822638 \tabularnewline
28 & 87 & 98.4307 & 98.7917 & 0.996346 & 0.883871 \tabularnewline
29 & 110 & 97.552 & 97.9583 & 0.995852 & 1.1276 \tabularnewline
30 & 90 & 99.5106 & 96.4583 & 1.03164 & 0.904427 \tabularnewline
31 & 108 & 93.8312 & 95.4583 & 0.982955 & 1.151 \tabularnewline
32 & 101 & 94.5285 & 95.25 & 0.992425 & 1.06846 \tabularnewline
33 & 87 & 89.9648 & 95.7083 & 0.939989 & 0.967045 \tabularnewline
34 & 118 & 96.7099 & 95.8333 & 1.00915 & 1.22014 \tabularnewline
35 & 82 & 97.8291 & 94.2917 & 1.03752 & 0.838197 \tabularnewline
36 & 86 & 81.0272 & 92.7917 & 0.873216 & 1.06137 \tabularnewline
37 & 103 & 103.297 & 92.5 & 1.11672 & 0.997127 \tabularnewline
38 & 93 & 91.5402 & 92.1667 & 0.993203 & 1.01595 \tabularnewline
39 & 83 & 96.6549 & 93.75 & 1.03099 & 0.858725 \tabularnewline
40 & 91 & 94.1132 & 94.4583 & 0.996346 & 0.966921 \tabularnewline
41 & 69 & 94.5644 & 94.9583 & 0.995852 & 0.729661 \tabularnewline
42 & 95 & 101.101 & 98 & 1.03164 & 0.939654 \tabularnewline
43 & 96 & 99.4013 & 101.125 & 0.982955 & 0.965782 \tabularnewline
44 & 105 & 104.453 & 105.25 & 0.992425 & 1.00524 \tabularnewline
45 & 121 & 105.631 & 112.375 & 0.939989 & 1.14549 \tabularnewline
46 & 101 & 124.167 & 123.042 & 1.00915 & 0.81342 \tabularnewline
47 & 111 & 137.557 & 132.583 & 1.03752 & 0.806937 \tabularnewline
48 & 130 & 121.268 & 138.875 & 0.873216 & 1.07201 \tabularnewline
49 & 134 & 161.739 & 144.833 & 1.11672 & 0.828497 \tabularnewline
50 & 161 & 147.449 & 148.458 & 0.993203 & 1.0919 \tabularnewline
51 & 186 & 155.292 & 150.625 & 1.03099 & 1.19774 \tabularnewline
52 & 244 & 152.482 & 153.042 & 0.996346 & 1.60018 \tabularnewline
53 & 145 & 156.017 & 156.667 & 0.995852 & 0.929387 \tabularnewline
54 & 170 & 164.719 & 159.667 & 1.03164 & 1.03206 \tabularnewline
55 & 164 & 157.682 & 160.417 & 0.982955 & 1.04007 \tabularnewline
56 & 124 & 158.209 & 159.417 & 0.992425 & 0.783773 \tabularnewline
57 & 154 & 148.009 & 157.458 & 0.939989 & 1.04048 \tabularnewline
58 & 126 & 152.507 & 151.125 & 1.00915 & 0.82619 \tabularnewline
59 & 173 & 148.84 & 143.458 & 1.03752 & 1.16232 \tabularnewline
60 & 140 & 124.106 & 142.125 & 0.873216 & 1.12807 \tabularnewline
61 & 142 & 158.388 & 141.833 & 1.11672 & 0.89653 \tabularnewline
62 & 129 & 140.414 & 141.375 & 0.993203 & 0.918711 \tabularnewline
63 & 171 & 145.025 & 140.667 & 1.03099 & 1.1791 \tabularnewline
64 & 107 & 138.99 & 139.5 & 0.996346 & 0.769838 \tabularnewline
65 & 98 & 137.303 & 137.875 & 0.995852 & 0.71375 \tabularnewline
66 & 185 & 139.659 & 135.375 & 1.03164 & 1.32466 \tabularnewline
67 & 142 & 131.88 & 134.167 & 0.982955 & 1.07674 \tabularnewline
68 & 135 & 132.985 & 134 & 0.992425 & 1.01515 \tabularnewline
69 & 126 & 124.47 & 132.417 & 0.939989 & 1.01229 \tabularnewline
70 & 126 & 131.399 & 130.208 & 1.00915 & 0.958909 \tabularnewline
71 & 134 & 136.866 & 131.917 & 1.03752 & 0.979063 \tabularnewline
72 & 119 & 114.464 & 131.083 & 0.873216 & 1.03963 \tabularnewline
73 & 134 & 141.033 & 126.292 & 1.11672 & 0.950134 \tabularnewline
74 & 133 & 124.854 & 125.708 & 0.993203 & 1.06524 \tabularnewline
75 & 129 & 130.892 & 126.958 & 1.03099 & 0.985544 \tabularnewline
76 & 96 & 127.449 & 127.917 & 0.996346 & 0.753241 \tabularnewline
77 & 150 & 129.627 & 130.167 & 0.995852 & 1.15717 \tabularnewline
78 & 113 & 135.489 & 131.333 & 1.03164 & 0.834015 \tabularnewline
79 & 99 & 131.593 & 133.875 & 0.982955 & 0.752319 \tabularnewline
80 & 164 & 135.88 & 136.917 & 0.992425 & 1.20695 \tabularnewline
81 & 127 & 129.797 & 138.083 & 0.939989 & 0.978452 \tabularnewline
82 & 148 & 141.659 & 140.375 & 1.00915 & 1.04476 \tabularnewline
83 & 166 & 148.062 & 142.708 & 1.03752 & 1.12115 \tabularnewline
84 & 115 & 127.744 & 146.292 & 0.873216 & 0.900237 \tabularnewline
85 & 199 & 170.207 & 152.417 & 1.11672 & 1.16916 \tabularnewline
86 & 141 & 153.326 & 154.375 & 0.993203 & 0.919611 \tabularnewline
87 & 149 & 157.01 & 152.292 & 1.03099 & 0.948981 \tabularnewline
88 & 131 & 152.69 & 153.25 & 0.996346 & 0.857947 \tabularnewline
89 & 171 & 153.652 & 154.292 & 0.995852 & 1.11291 \tabularnewline
90 & 178 & 158.658 & 153.792 & 1.03164 & 1.12191 \tabularnewline
91 & 181 & 150.843 & 153.458 & 0.982955 & 1.19993 \tabularnewline
92 & 129 & 153.082 & 154.25 & 0.992425 & 0.842688 \tabularnewline
93 & 112 & 146.717 & 156.083 & 0.939989 & 0.763376 \tabularnewline
94 & 186 & 159.403 & 157.958 & 1.00915 & 1.16685 \tabularnewline
95 & 153 & 166.478 & 160.458 & 1.03752 & 0.91904 \tabularnewline
96 & 116 & 140.406 & 160.792 & 0.873216 & 0.826177 \tabularnewline
97 & 190 & 182.026 & 163 & 1.11672 & 1.04381 \tabularnewline
98 & 169 & 166.775 & 167.917 & 0.993203 & 1.01334 \tabularnewline
99 & 165 & 177.329 & 172 & 1.03099 & 0.930471 \tabularnewline
100 & 160 & 174.361 & 175 & 0.996346 & 0.917639 \tabularnewline
101 & 202 & 176.432 & 177.167 & 0.995852 & 1.14492 \tabularnewline
102 & 155 & 185.008 & 179.333 & 1.03164 & 0.837802 \tabularnewline
103 & 257 & NA & NA & 0.982955 & NA \tabularnewline
104 & 171 & NA & NA & 0.992425 & NA \tabularnewline
105 & 168 & NA & NA & 0.939989 & NA \tabularnewline
106 & 202 & NA & NA & 1.00915 & NA \tabularnewline
107 & 189 & NA & NA & 1.03752 & NA \tabularnewline
108 & 132 & NA & NA & 0.873216 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=261402&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]123[/C][C]NA[/C][C]NA[/C][C]1.11672[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]146[/C][C]NA[/C][C]NA[/C][C]0.993203[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]156[/C][C]NA[/C][C]NA[/C][C]1.03099[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]127[/C][C]NA[/C][C]NA[/C][C]0.996346[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]128[/C][C]NA[/C][C]NA[/C][C]0.995852[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]147[/C][C]NA[/C][C]NA[/C][C]1.03164[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]128[/C][C]130.733[/C][C]133[/C][C]0.982955[/C][C]0.979095[/C][/ROW]
[ROW][C]8[/C][C]139[/C][C]132.406[/C][C]133.417[/C][C]0.992425[/C][C]1.0498[/C][/ROW]
[ROW][C]9[/C][C]130[/C][C]124.079[/C][C]132[/C][C]0.939989[/C][C]1.04772[/C][/ROW]
[ROW][C]10[/C][C]118[/C][C]132.871[/C][C]131.667[/C][C]1.00915[/C][C]0.888079[/C][/ROW]
[ROW][C]11[/C][C]147[/C][C]137.168[/C][C]132.208[/C][C]1.03752[/C][C]1.07168[/C][/ROW]
[ROW][C]12[/C][C]98[/C][C]114.137[/C][C]130.708[/C][C]0.873216[/C][C]0.85862[/C][/ROW]
[ROW][C]13[/C][C]141[/C][C]142.754[/C][C]127.833[/C][C]1.11672[/C][C]0.987711[/C][/ROW]
[ROW][C]14[/C][C]138[/C][C]124.192[/C][C]125.042[/C][C]0.993203[/C][C]1.11118[/C][/ROW]
[ROW][C]15[/C][C]130[/C][C]126.468[/C][C]122.667[/C][C]1.03099[/C][C]1.02793[/C][/ROW]
[ROW][C]16[/C][C]145[/C][C]120.682[/C][C]121.125[/C][C]0.996346[/C][C]1.2015[/C][/ROW]
[ROW][C]17[/C][C]123[/C][C]118.755[/C][C]119.25[/C][C]0.995852[/C][C]1.03574[/C][/ROW]
[ROW][C]18[/C][C]116[/C][C]121.261[/C][C]117.542[/C][C]1.03164[/C][C]0.956614[/C][/ROW]
[ROW][C]19[/C][C]90[/C][C]114.473[/C][C]116.458[/C][C]0.982955[/C][C]0.78621[/C][/ROW]
[ROW][C]20[/C][C]110[/C][C]112.351[/C][C]113.208[/C][C]0.992425[/C][C]0.979076[/C][/ROW]
[ROW][C]21[/C][C]102[/C][C]102.381[/C][C]108.917[/C][C]0.939989[/C][C]0.996283[/C][/ROW]
[ROW][C]22[/C][C]109[/C][C]105.54[/C][C]104.583[/C][C]1.00915[/C][C]1.03278[/C][/ROW]
[ROW][C]23[/C][C]111[/C][C]105.438[/C][C]101.625[/C][C]1.03752[/C][C]1.05276[/C][/ROW]
[ROW][C]24[/C][C]93[/C][C]87.3216[/C][C]100[/C][C]0.873216[/C][C]1.06503[/C][/ROW]
[ROW][C]25[/C][C]120[/C][C]111.3[/C][C]99.6667[/C][C]1.11672[/C][C]1.07817[/C][/ROW]
[ROW][C]26[/C][C]81[/C][C]99.3617[/C][C]100.042[/C][C]0.993203[/C][C]0.815203[/C][/ROW]
[ROW][C]27[/C][C]84[/C][C]102.111[/C][C]99.0417[/C][C]1.03099[/C][C]0.822638[/C][/ROW]
[ROW][C]28[/C][C]87[/C][C]98.4307[/C][C]98.7917[/C][C]0.996346[/C][C]0.883871[/C][/ROW]
[ROW][C]29[/C][C]110[/C][C]97.552[/C][C]97.9583[/C][C]0.995852[/C][C]1.1276[/C][/ROW]
[ROW][C]30[/C][C]90[/C][C]99.5106[/C][C]96.4583[/C][C]1.03164[/C][C]0.904427[/C][/ROW]
[ROW][C]31[/C][C]108[/C][C]93.8312[/C][C]95.4583[/C][C]0.982955[/C][C]1.151[/C][/ROW]
[ROW][C]32[/C][C]101[/C][C]94.5285[/C][C]95.25[/C][C]0.992425[/C][C]1.06846[/C][/ROW]
[ROW][C]33[/C][C]87[/C][C]89.9648[/C][C]95.7083[/C][C]0.939989[/C][C]0.967045[/C][/ROW]
[ROW][C]34[/C][C]118[/C][C]96.7099[/C][C]95.8333[/C][C]1.00915[/C][C]1.22014[/C][/ROW]
[ROW][C]35[/C][C]82[/C][C]97.8291[/C][C]94.2917[/C][C]1.03752[/C][C]0.838197[/C][/ROW]
[ROW][C]36[/C][C]86[/C][C]81.0272[/C][C]92.7917[/C][C]0.873216[/C][C]1.06137[/C][/ROW]
[ROW][C]37[/C][C]103[/C][C]103.297[/C][C]92.5[/C][C]1.11672[/C][C]0.997127[/C][/ROW]
[ROW][C]38[/C][C]93[/C][C]91.5402[/C][C]92.1667[/C][C]0.993203[/C][C]1.01595[/C][/ROW]
[ROW][C]39[/C][C]83[/C][C]96.6549[/C][C]93.75[/C][C]1.03099[/C][C]0.858725[/C][/ROW]
[ROW][C]40[/C][C]91[/C][C]94.1132[/C][C]94.4583[/C][C]0.996346[/C][C]0.966921[/C][/ROW]
[ROW][C]41[/C][C]69[/C][C]94.5644[/C][C]94.9583[/C][C]0.995852[/C][C]0.729661[/C][/ROW]
[ROW][C]42[/C][C]95[/C][C]101.101[/C][C]98[/C][C]1.03164[/C][C]0.939654[/C][/ROW]
[ROW][C]43[/C][C]96[/C][C]99.4013[/C][C]101.125[/C][C]0.982955[/C][C]0.965782[/C][/ROW]
[ROW][C]44[/C][C]105[/C][C]104.453[/C][C]105.25[/C][C]0.992425[/C][C]1.00524[/C][/ROW]
[ROW][C]45[/C][C]121[/C][C]105.631[/C][C]112.375[/C][C]0.939989[/C][C]1.14549[/C][/ROW]
[ROW][C]46[/C][C]101[/C][C]124.167[/C][C]123.042[/C][C]1.00915[/C][C]0.81342[/C][/ROW]
[ROW][C]47[/C][C]111[/C][C]137.557[/C][C]132.583[/C][C]1.03752[/C][C]0.806937[/C][/ROW]
[ROW][C]48[/C][C]130[/C][C]121.268[/C][C]138.875[/C][C]0.873216[/C][C]1.07201[/C][/ROW]
[ROW][C]49[/C][C]134[/C][C]161.739[/C][C]144.833[/C][C]1.11672[/C][C]0.828497[/C][/ROW]
[ROW][C]50[/C][C]161[/C][C]147.449[/C][C]148.458[/C][C]0.993203[/C][C]1.0919[/C][/ROW]
[ROW][C]51[/C][C]186[/C][C]155.292[/C][C]150.625[/C][C]1.03099[/C][C]1.19774[/C][/ROW]
[ROW][C]52[/C][C]244[/C][C]152.482[/C][C]153.042[/C][C]0.996346[/C][C]1.60018[/C][/ROW]
[ROW][C]53[/C][C]145[/C][C]156.017[/C][C]156.667[/C][C]0.995852[/C][C]0.929387[/C][/ROW]
[ROW][C]54[/C][C]170[/C][C]164.719[/C][C]159.667[/C][C]1.03164[/C][C]1.03206[/C][/ROW]
[ROW][C]55[/C][C]164[/C][C]157.682[/C][C]160.417[/C][C]0.982955[/C][C]1.04007[/C][/ROW]
[ROW][C]56[/C][C]124[/C][C]158.209[/C][C]159.417[/C][C]0.992425[/C][C]0.783773[/C][/ROW]
[ROW][C]57[/C][C]154[/C][C]148.009[/C][C]157.458[/C][C]0.939989[/C][C]1.04048[/C][/ROW]
[ROW][C]58[/C][C]126[/C][C]152.507[/C][C]151.125[/C][C]1.00915[/C][C]0.82619[/C][/ROW]
[ROW][C]59[/C][C]173[/C][C]148.84[/C][C]143.458[/C][C]1.03752[/C][C]1.16232[/C][/ROW]
[ROW][C]60[/C][C]140[/C][C]124.106[/C][C]142.125[/C][C]0.873216[/C][C]1.12807[/C][/ROW]
[ROW][C]61[/C][C]142[/C][C]158.388[/C][C]141.833[/C][C]1.11672[/C][C]0.89653[/C][/ROW]
[ROW][C]62[/C][C]129[/C][C]140.414[/C][C]141.375[/C][C]0.993203[/C][C]0.918711[/C][/ROW]
[ROW][C]63[/C][C]171[/C][C]145.025[/C][C]140.667[/C][C]1.03099[/C][C]1.1791[/C][/ROW]
[ROW][C]64[/C][C]107[/C][C]138.99[/C][C]139.5[/C][C]0.996346[/C][C]0.769838[/C][/ROW]
[ROW][C]65[/C][C]98[/C][C]137.303[/C][C]137.875[/C][C]0.995852[/C][C]0.71375[/C][/ROW]
[ROW][C]66[/C][C]185[/C][C]139.659[/C][C]135.375[/C][C]1.03164[/C][C]1.32466[/C][/ROW]
[ROW][C]67[/C][C]142[/C][C]131.88[/C][C]134.167[/C][C]0.982955[/C][C]1.07674[/C][/ROW]
[ROW][C]68[/C][C]135[/C][C]132.985[/C][C]134[/C][C]0.992425[/C][C]1.01515[/C][/ROW]
[ROW][C]69[/C][C]126[/C][C]124.47[/C][C]132.417[/C][C]0.939989[/C][C]1.01229[/C][/ROW]
[ROW][C]70[/C][C]126[/C][C]131.399[/C][C]130.208[/C][C]1.00915[/C][C]0.958909[/C][/ROW]
[ROW][C]71[/C][C]134[/C][C]136.866[/C][C]131.917[/C][C]1.03752[/C][C]0.979063[/C][/ROW]
[ROW][C]72[/C][C]119[/C][C]114.464[/C][C]131.083[/C][C]0.873216[/C][C]1.03963[/C][/ROW]
[ROW][C]73[/C][C]134[/C][C]141.033[/C][C]126.292[/C][C]1.11672[/C][C]0.950134[/C][/ROW]
[ROW][C]74[/C][C]133[/C][C]124.854[/C][C]125.708[/C][C]0.993203[/C][C]1.06524[/C][/ROW]
[ROW][C]75[/C][C]129[/C][C]130.892[/C][C]126.958[/C][C]1.03099[/C][C]0.985544[/C][/ROW]
[ROW][C]76[/C][C]96[/C][C]127.449[/C][C]127.917[/C][C]0.996346[/C][C]0.753241[/C][/ROW]
[ROW][C]77[/C][C]150[/C][C]129.627[/C][C]130.167[/C][C]0.995852[/C][C]1.15717[/C][/ROW]
[ROW][C]78[/C][C]113[/C][C]135.489[/C][C]131.333[/C][C]1.03164[/C][C]0.834015[/C][/ROW]
[ROW][C]79[/C][C]99[/C][C]131.593[/C][C]133.875[/C][C]0.982955[/C][C]0.752319[/C][/ROW]
[ROW][C]80[/C][C]164[/C][C]135.88[/C][C]136.917[/C][C]0.992425[/C][C]1.20695[/C][/ROW]
[ROW][C]81[/C][C]127[/C][C]129.797[/C][C]138.083[/C][C]0.939989[/C][C]0.978452[/C][/ROW]
[ROW][C]82[/C][C]148[/C][C]141.659[/C][C]140.375[/C][C]1.00915[/C][C]1.04476[/C][/ROW]
[ROW][C]83[/C][C]166[/C][C]148.062[/C][C]142.708[/C][C]1.03752[/C][C]1.12115[/C][/ROW]
[ROW][C]84[/C][C]115[/C][C]127.744[/C][C]146.292[/C][C]0.873216[/C][C]0.900237[/C][/ROW]
[ROW][C]85[/C][C]199[/C][C]170.207[/C][C]152.417[/C][C]1.11672[/C][C]1.16916[/C][/ROW]
[ROW][C]86[/C][C]141[/C][C]153.326[/C][C]154.375[/C][C]0.993203[/C][C]0.919611[/C][/ROW]
[ROW][C]87[/C][C]149[/C][C]157.01[/C][C]152.292[/C][C]1.03099[/C][C]0.948981[/C][/ROW]
[ROW][C]88[/C][C]131[/C][C]152.69[/C][C]153.25[/C][C]0.996346[/C][C]0.857947[/C][/ROW]
[ROW][C]89[/C][C]171[/C][C]153.652[/C][C]154.292[/C][C]0.995852[/C][C]1.11291[/C][/ROW]
[ROW][C]90[/C][C]178[/C][C]158.658[/C][C]153.792[/C][C]1.03164[/C][C]1.12191[/C][/ROW]
[ROW][C]91[/C][C]181[/C][C]150.843[/C][C]153.458[/C][C]0.982955[/C][C]1.19993[/C][/ROW]
[ROW][C]92[/C][C]129[/C][C]153.082[/C][C]154.25[/C][C]0.992425[/C][C]0.842688[/C][/ROW]
[ROW][C]93[/C][C]112[/C][C]146.717[/C][C]156.083[/C][C]0.939989[/C][C]0.763376[/C][/ROW]
[ROW][C]94[/C][C]186[/C][C]159.403[/C][C]157.958[/C][C]1.00915[/C][C]1.16685[/C][/ROW]
[ROW][C]95[/C][C]153[/C][C]166.478[/C][C]160.458[/C][C]1.03752[/C][C]0.91904[/C][/ROW]
[ROW][C]96[/C][C]116[/C][C]140.406[/C][C]160.792[/C][C]0.873216[/C][C]0.826177[/C][/ROW]
[ROW][C]97[/C][C]190[/C][C]182.026[/C][C]163[/C][C]1.11672[/C][C]1.04381[/C][/ROW]
[ROW][C]98[/C][C]169[/C][C]166.775[/C][C]167.917[/C][C]0.993203[/C][C]1.01334[/C][/ROW]
[ROW][C]99[/C][C]165[/C][C]177.329[/C][C]172[/C][C]1.03099[/C][C]0.930471[/C][/ROW]
[ROW][C]100[/C][C]160[/C][C]174.361[/C][C]175[/C][C]0.996346[/C][C]0.917639[/C][/ROW]
[ROW][C]101[/C][C]202[/C][C]176.432[/C][C]177.167[/C][C]0.995852[/C][C]1.14492[/C][/ROW]
[ROW][C]102[/C][C]155[/C][C]185.008[/C][C]179.333[/C][C]1.03164[/C][C]0.837802[/C][/ROW]
[ROW][C]103[/C][C]257[/C][C]NA[/C][C]NA[/C][C]0.982955[/C][C]NA[/C][/ROW]
[ROW][C]104[/C][C]171[/C][C]NA[/C][C]NA[/C][C]0.992425[/C][C]NA[/C][/ROW]
[ROW][C]105[/C][C]168[/C][C]NA[/C][C]NA[/C][C]0.939989[/C][C]NA[/C][/ROW]
[ROW][C]106[/C][C]202[/C][C]NA[/C][C]NA[/C][C]1.00915[/C][C]NA[/C][/ROW]
[ROW][C]107[/C][C]189[/C][C]NA[/C][C]NA[/C][C]1.03752[/C][C]NA[/C][/ROW]
[ROW][C]108[/C][C]132[/C][C]NA[/C][C]NA[/C][C]0.873216[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=261402&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=261402&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
1123NANA1.11672NA
2146NANA0.993203NA
3156NANA1.03099NA
4127NANA0.996346NA
5128NANA0.995852NA
6147NANA1.03164NA
7128130.7331330.9829550.979095
8139132.406133.4170.9924251.0498
9130124.0791320.9399891.04772
10118132.871131.6671.009150.888079
11147137.168132.2081.037521.07168
1298114.137130.7080.8732160.85862
13141142.754127.8331.116720.987711
14138124.192125.0420.9932031.11118
15130126.468122.6671.030991.02793
16145120.682121.1250.9963461.2015
17123118.755119.250.9958521.03574
18116121.261117.5421.031640.956614
1990114.473116.4580.9829550.78621
20110112.351113.2080.9924250.979076
21102102.381108.9170.9399890.996283
22109105.54104.5831.009151.03278
23111105.438101.6251.037521.05276
249387.32161000.8732161.06503
25120111.399.66671.116721.07817
268199.3617100.0420.9932030.815203
2784102.11199.04171.030990.822638
288798.430798.79170.9963460.883871
2911097.55297.95830.9958521.1276
309099.510696.45831.031640.904427
3110893.831295.45830.9829551.151
3210194.528595.250.9924251.06846
338789.964895.70830.9399890.967045
3411896.709995.83331.009151.22014
358297.829194.29171.037520.838197
368681.027292.79170.8732161.06137
37103103.29792.51.116720.997127
389391.540292.16670.9932031.01595
398396.654993.751.030990.858725
409194.113294.45830.9963460.966921
416994.564494.95830.9958520.729661
4295101.101981.031640.939654
439699.4013101.1250.9829550.965782
44105104.453105.250.9924251.00524
45121105.631112.3750.9399891.14549
46101124.167123.0421.009150.81342
47111137.557132.5831.037520.806937
48130121.268138.8750.8732161.07201
49134161.739144.8331.116720.828497
50161147.449148.4580.9932031.0919
51186155.292150.6251.030991.19774
52244152.482153.0420.9963461.60018
53145156.017156.6670.9958520.929387
54170164.719159.6671.031641.03206
55164157.682160.4170.9829551.04007
56124158.209159.4170.9924250.783773
57154148.009157.4580.9399891.04048
58126152.507151.1251.009150.82619
59173148.84143.4581.037521.16232
60140124.106142.1250.8732161.12807
61142158.388141.8331.116720.89653
62129140.414141.3750.9932030.918711
63171145.025140.6671.030991.1791
64107138.99139.50.9963460.769838
6598137.303137.8750.9958520.71375
66185139.659135.3751.031641.32466
67142131.88134.1670.9829551.07674
68135132.9851340.9924251.01515
69126124.47132.4170.9399891.01229
70126131.399130.2081.009150.958909
71134136.866131.9171.037520.979063
72119114.464131.0830.8732161.03963
73134141.033126.2921.116720.950134
74133124.854125.7080.9932031.06524
75129130.892126.9581.030990.985544
7696127.449127.9170.9963460.753241
77150129.627130.1670.9958521.15717
78113135.489131.3331.031640.834015
7999131.593133.8750.9829550.752319
80164135.88136.9170.9924251.20695
81127129.797138.0830.9399890.978452
82148141.659140.3751.009151.04476
83166148.062142.7081.037521.12115
84115127.744146.2920.8732160.900237
85199170.207152.4171.116721.16916
86141153.326154.3750.9932030.919611
87149157.01152.2921.030990.948981
88131152.69153.250.9963460.857947
89171153.652154.2920.9958521.11291
90178158.658153.7921.031641.12191
91181150.843153.4580.9829551.19993
92129153.082154.250.9924250.842688
93112146.717156.0830.9399890.763376
94186159.403157.9581.009151.16685
95153166.478160.4581.037520.91904
96116140.406160.7920.8732160.826177
97190182.0261631.116721.04381
98169166.775167.9170.9932031.01334
99165177.3291721.030990.930471
100160174.3611750.9963460.917639
101202176.432177.1670.9958521.14492
102155185.008179.3331.031640.837802
103257NANA0.982955NA
104171NANA0.992425NA
105168NANA0.939989NA
106202NANA1.00915NA
107189NANA1.03752NA
108132NANA0.873216NA



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')