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R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationThu, 11 Aug 2016 13:34:16 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2016/Aug/11/t1470918917x1vzhnjif03oemk.htm/, Retrieved Sun, 05 May 2024 09:27:57 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=296310, Retrieved Sun, 05 May 2024 09:27:57 +0000
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Estimated Impact93
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [] [2016-08-11 12:34:16] [eed3b94f44ab74d862a61d666a631b56] [Current]
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Dataseries X:
154
170
170
156
178
174
160
166
175
171
161
188
158
170
165
163
180
170
166
178
189
160
164
183
160
171
174
174
183
176
154
158
199
156
175
181
153
161
175
175
183
181
159
158
194
154
173
186
148
149
175
173
189
175
161
150
200
153
173
181
158
141
174
173
196
165
151
149
198
144
166
178
158
130
181
170
188
155
158
153
210
151
169
185
159
130
181
164
189
145
161
154
210
149
164
185
165
131
173
165
185
144
156
158
210
144
164
184




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=296310&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=296310&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=296310&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
1154NANA-10.8307NA
2170NANA-20.2682NA
3170NANA6.46615NA
4156NANA1.29948NA
5178NANA18.4245NA
6174NANA-4.32031NA
7160158.81168.75-9.94011.1901
8166158.622168.917-10.29437.3776
9175197.227168.70828.5182-22.2266
10171155.122168.792-13.669315.8776
11161168.789169.167-0.377604-7.78906
12188184.076169.08314.99223.92448
13158158.336169.167-10.8307-0.335938
14170149.648169.917-20.268220.3516
15165177.4661716.46615-12.4661
16163172.424171.1251.29948-9.42448
17180189.216170.79218.4245-9.21615
18170166.388170.708-4.320313.61198
19166160.643170.583-9.94015.35677
20178160.414170.708-10.294317.5859
21189199.643171.12528.5182-10.6432
22160158.289171.958-13.66931.71094
23164172.164172.542-0.377604-8.16406
24183187.909172.91714.9922-4.90885
25160161.836172.667-10.8307-1.83594
26171151.065171.333-20.268219.9349
27174177.383170.9176.46615-3.38281
28174172.466171.1671.299481.53385
29183189.883171.45818.4245-6.88281
30176167.513171.833-4.320318.48698
31154161.518171.458-9.9401-7.51823
32158160.456170.75-10.2943-2.45573
33199198.893170.37528.51820.106771
34156156.789170.458-13.6693-0.789062
35175170.122170.5-0.3776044.8776
36181185.701170.70814.9922-4.70052
37153160.294171.125-10.8307-7.29427
38161151.065171.333-20.26829.9349
39175177.591171.1256.46615-2.59115
40175172.133170.8331.299482.86719
41183189.091170.66718.4245-6.09115
42181166.471170.792-4.3203114.5286
43159160.852170.792-9.9401-1.85156
44158159.789170.083-10.2943-1.78906
45194198.102169.58328.5182-4.10156
46154155.831169.5-13.6693-1.83073
47173169.289169.667-0.3776043.71094
48186184.659169.66714.99221.34115
49148158.669169.5-10.8307-10.6693
50149148.982169.25-20.26820.0182292
51175175.633169.1676.46615-0.632812
52173170.674169.3751.299482.32552
53189187.758169.33318.42451.24219
54175164.805169.125-4.3203110.1953
55161159.393169.333-9.94011.60677
56150159.122169.417-10.2943-9.1224
57200197.56169.04228.51822.4401
58153155.331169-13.6693-2.33073
59173168.914169.292-0.3776044.08594
60181184.159169.16714.9922-3.15885
61158157.503168.333-10.83070.497396
62141147.607167.875-20.2682-6.60677
63174174.216167.756.46615-0.216146
64173168.591167.2921.299484.40885
65196185.049166.62518.424510.9505
66165161.888166.208-4.320313.11198
67151156.143166.083-9.9401-5.14323
68149155.331165.625-10.2943-6.33073
69198193.977165.45828.51824.02344
70144151.956165.625-13.6693-7.95573
71166164.789165.167-0.3776041.21094
72178179.409164.41714.9922-1.40885
73158153.461164.292-10.83074.53906
74130144.482164.75-20.2682-14.4818
75181171.883165.4176.466159.11719
76170167.508166.2081.299482.49219
77188185.049166.62518.42452.95052
78155162.721167.042-4.32031-7.72135
79158157.435167.375-9.94010.565104
80153157.122167.417-10.2943-4.1224
81210195.935167.41728.518214.0651
82151153.497167.167-13.6693-2.4974
83169166.581166.958-0.3776042.41927
84185181.576166.58314.99223.42448
85159155.461166.292-10.83073.53906
86130146.19166.458-20.2682-16.1901
87181172.966166.56.466158.03385
88164167.716166.4171.29948-3.71615
89189184.549166.12518.42454.45052
90145161.596165.917-4.32031-16.5964
91161156.227166.167-9.94014.77344
92154156.164166.458-10.2943-2.16406
93210194.685166.16728.518215.3151
94149152.206165.875-13.6693-3.20573
95164165.372165.75-0.377604-1.3724
96185180.534165.54214.99224.46615
97165154.461165.292-10.830710.5391
98131144.982165.25-20.2682-13.9818
99173171.883165.4176.466151.11719
100165166.508165.2081.29948-1.50781
101185183.42416518.42451.57552
102144160.638164.958-4.32031-16.638
103156NANA-9.9401NA
104158NANA-10.2943NA
105210NANA28.5182NA
106144NANA-13.6693NA
107164NANA-0.377604NA
108184NANA14.9922NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 154 & NA & NA & -10.8307 & NA \tabularnewline
2 & 170 & NA & NA & -20.2682 & NA \tabularnewline
3 & 170 & NA & NA & 6.46615 & NA \tabularnewline
4 & 156 & NA & NA & 1.29948 & NA \tabularnewline
5 & 178 & NA & NA & 18.4245 & NA \tabularnewline
6 & 174 & NA & NA & -4.32031 & NA \tabularnewline
7 & 160 & 158.81 & 168.75 & -9.9401 & 1.1901 \tabularnewline
8 & 166 & 158.622 & 168.917 & -10.2943 & 7.3776 \tabularnewline
9 & 175 & 197.227 & 168.708 & 28.5182 & -22.2266 \tabularnewline
10 & 171 & 155.122 & 168.792 & -13.6693 & 15.8776 \tabularnewline
11 & 161 & 168.789 & 169.167 & -0.377604 & -7.78906 \tabularnewline
12 & 188 & 184.076 & 169.083 & 14.9922 & 3.92448 \tabularnewline
13 & 158 & 158.336 & 169.167 & -10.8307 & -0.335938 \tabularnewline
14 & 170 & 149.648 & 169.917 & -20.2682 & 20.3516 \tabularnewline
15 & 165 & 177.466 & 171 & 6.46615 & -12.4661 \tabularnewline
16 & 163 & 172.424 & 171.125 & 1.29948 & -9.42448 \tabularnewline
17 & 180 & 189.216 & 170.792 & 18.4245 & -9.21615 \tabularnewline
18 & 170 & 166.388 & 170.708 & -4.32031 & 3.61198 \tabularnewline
19 & 166 & 160.643 & 170.583 & -9.9401 & 5.35677 \tabularnewline
20 & 178 & 160.414 & 170.708 & -10.2943 & 17.5859 \tabularnewline
21 & 189 & 199.643 & 171.125 & 28.5182 & -10.6432 \tabularnewline
22 & 160 & 158.289 & 171.958 & -13.6693 & 1.71094 \tabularnewline
23 & 164 & 172.164 & 172.542 & -0.377604 & -8.16406 \tabularnewline
24 & 183 & 187.909 & 172.917 & 14.9922 & -4.90885 \tabularnewline
25 & 160 & 161.836 & 172.667 & -10.8307 & -1.83594 \tabularnewline
26 & 171 & 151.065 & 171.333 & -20.2682 & 19.9349 \tabularnewline
27 & 174 & 177.383 & 170.917 & 6.46615 & -3.38281 \tabularnewline
28 & 174 & 172.466 & 171.167 & 1.29948 & 1.53385 \tabularnewline
29 & 183 & 189.883 & 171.458 & 18.4245 & -6.88281 \tabularnewline
30 & 176 & 167.513 & 171.833 & -4.32031 & 8.48698 \tabularnewline
31 & 154 & 161.518 & 171.458 & -9.9401 & -7.51823 \tabularnewline
32 & 158 & 160.456 & 170.75 & -10.2943 & -2.45573 \tabularnewline
33 & 199 & 198.893 & 170.375 & 28.5182 & 0.106771 \tabularnewline
34 & 156 & 156.789 & 170.458 & -13.6693 & -0.789062 \tabularnewline
35 & 175 & 170.122 & 170.5 & -0.377604 & 4.8776 \tabularnewline
36 & 181 & 185.701 & 170.708 & 14.9922 & -4.70052 \tabularnewline
37 & 153 & 160.294 & 171.125 & -10.8307 & -7.29427 \tabularnewline
38 & 161 & 151.065 & 171.333 & -20.2682 & 9.9349 \tabularnewline
39 & 175 & 177.591 & 171.125 & 6.46615 & -2.59115 \tabularnewline
40 & 175 & 172.133 & 170.833 & 1.29948 & 2.86719 \tabularnewline
41 & 183 & 189.091 & 170.667 & 18.4245 & -6.09115 \tabularnewline
42 & 181 & 166.471 & 170.792 & -4.32031 & 14.5286 \tabularnewline
43 & 159 & 160.852 & 170.792 & -9.9401 & -1.85156 \tabularnewline
44 & 158 & 159.789 & 170.083 & -10.2943 & -1.78906 \tabularnewline
45 & 194 & 198.102 & 169.583 & 28.5182 & -4.10156 \tabularnewline
46 & 154 & 155.831 & 169.5 & -13.6693 & -1.83073 \tabularnewline
47 & 173 & 169.289 & 169.667 & -0.377604 & 3.71094 \tabularnewline
48 & 186 & 184.659 & 169.667 & 14.9922 & 1.34115 \tabularnewline
49 & 148 & 158.669 & 169.5 & -10.8307 & -10.6693 \tabularnewline
50 & 149 & 148.982 & 169.25 & -20.2682 & 0.0182292 \tabularnewline
51 & 175 & 175.633 & 169.167 & 6.46615 & -0.632812 \tabularnewline
52 & 173 & 170.674 & 169.375 & 1.29948 & 2.32552 \tabularnewline
53 & 189 & 187.758 & 169.333 & 18.4245 & 1.24219 \tabularnewline
54 & 175 & 164.805 & 169.125 & -4.32031 & 10.1953 \tabularnewline
55 & 161 & 159.393 & 169.333 & -9.9401 & 1.60677 \tabularnewline
56 & 150 & 159.122 & 169.417 & -10.2943 & -9.1224 \tabularnewline
57 & 200 & 197.56 & 169.042 & 28.5182 & 2.4401 \tabularnewline
58 & 153 & 155.331 & 169 & -13.6693 & -2.33073 \tabularnewline
59 & 173 & 168.914 & 169.292 & -0.377604 & 4.08594 \tabularnewline
60 & 181 & 184.159 & 169.167 & 14.9922 & -3.15885 \tabularnewline
61 & 158 & 157.503 & 168.333 & -10.8307 & 0.497396 \tabularnewline
62 & 141 & 147.607 & 167.875 & -20.2682 & -6.60677 \tabularnewline
63 & 174 & 174.216 & 167.75 & 6.46615 & -0.216146 \tabularnewline
64 & 173 & 168.591 & 167.292 & 1.29948 & 4.40885 \tabularnewline
65 & 196 & 185.049 & 166.625 & 18.4245 & 10.9505 \tabularnewline
66 & 165 & 161.888 & 166.208 & -4.32031 & 3.11198 \tabularnewline
67 & 151 & 156.143 & 166.083 & -9.9401 & -5.14323 \tabularnewline
68 & 149 & 155.331 & 165.625 & -10.2943 & -6.33073 \tabularnewline
69 & 198 & 193.977 & 165.458 & 28.5182 & 4.02344 \tabularnewline
70 & 144 & 151.956 & 165.625 & -13.6693 & -7.95573 \tabularnewline
71 & 166 & 164.789 & 165.167 & -0.377604 & 1.21094 \tabularnewline
72 & 178 & 179.409 & 164.417 & 14.9922 & -1.40885 \tabularnewline
73 & 158 & 153.461 & 164.292 & -10.8307 & 4.53906 \tabularnewline
74 & 130 & 144.482 & 164.75 & -20.2682 & -14.4818 \tabularnewline
75 & 181 & 171.883 & 165.417 & 6.46615 & 9.11719 \tabularnewline
76 & 170 & 167.508 & 166.208 & 1.29948 & 2.49219 \tabularnewline
77 & 188 & 185.049 & 166.625 & 18.4245 & 2.95052 \tabularnewline
78 & 155 & 162.721 & 167.042 & -4.32031 & -7.72135 \tabularnewline
79 & 158 & 157.435 & 167.375 & -9.9401 & 0.565104 \tabularnewline
80 & 153 & 157.122 & 167.417 & -10.2943 & -4.1224 \tabularnewline
81 & 210 & 195.935 & 167.417 & 28.5182 & 14.0651 \tabularnewline
82 & 151 & 153.497 & 167.167 & -13.6693 & -2.4974 \tabularnewline
83 & 169 & 166.581 & 166.958 & -0.377604 & 2.41927 \tabularnewline
84 & 185 & 181.576 & 166.583 & 14.9922 & 3.42448 \tabularnewline
85 & 159 & 155.461 & 166.292 & -10.8307 & 3.53906 \tabularnewline
86 & 130 & 146.19 & 166.458 & -20.2682 & -16.1901 \tabularnewline
87 & 181 & 172.966 & 166.5 & 6.46615 & 8.03385 \tabularnewline
88 & 164 & 167.716 & 166.417 & 1.29948 & -3.71615 \tabularnewline
89 & 189 & 184.549 & 166.125 & 18.4245 & 4.45052 \tabularnewline
90 & 145 & 161.596 & 165.917 & -4.32031 & -16.5964 \tabularnewline
91 & 161 & 156.227 & 166.167 & -9.9401 & 4.77344 \tabularnewline
92 & 154 & 156.164 & 166.458 & -10.2943 & -2.16406 \tabularnewline
93 & 210 & 194.685 & 166.167 & 28.5182 & 15.3151 \tabularnewline
94 & 149 & 152.206 & 165.875 & -13.6693 & -3.20573 \tabularnewline
95 & 164 & 165.372 & 165.75 & -0.377604 & -1.3724 \tabularnewline
96 & 185 & 180.534 & 165.542 & 14.9922 & 4.46615 \tabularnewline
97 & 165 & 154.461 & 165.292 & -10.8307 & 10.5391 \tabularnewline
98 & 131 & 144.982 & 165.25 & -20.2682 & -13.9818 \tabularnewline
99 & 173 & 171.883 & 165.417 & 6.46615 & 1.11719 \tabularnewline
100 & 165 & 166.508 & 165.208 & 1.29948 & -1.50781 \tabularnewline
101 & 185 & 183.424 & 165 & 18.4245 & 1.57552 \tabularnewline
102 & 144 & 160.638 & 164.958 & -4.32031 & -16.638 \tabularnewline
103 & 156 & NA & NA & -9.9401 & NA \tabularnewline
104 & 158 & NA & NA & -10.2943 & NA \tabularnewline
105 & 210 & NA & NA & 28.5182 & NA \tabularnewline
106 & 144 & NA & NA & -13.6693 & NA \tabularnewline
107 & 164 & NA & NA & -0.377604 & NA \tabularnewline
108 & 184 & NA & NA & 14.9922 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=296310&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]154[/C][C]NA[/C][C]NA[/C][C]-10.8307[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]170[/C][C]NA[/C][C]NA[/C][C]-20.2682[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]170[/C][C]NA[/C][C]NA[/C][C]6.46615[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]156[/C][C]NA[/C][C]NA[/C][C]1.29948[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]178[/C][C]NA[/C][C]NA[/C][C]18.4245[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]174[/C][C]NA[/C][C]NA[/C][C]-4.32031[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]160[/C][C]158.81[/C][C]168.75[/C][C]-9.9401[/C][C]1.1901[/C][/ROW]
[ROW][C]8[/C][C]166[/C][C]158.622[/C][C]168.917[/C][C]-10.2943[/C][C]7.3776[/C][/ROW]
[ROW][C]9[/C][C]175[/C][C]197.227[/C][C]168.708[/C][C]28.5182[/C][C]-22.2266[/C][/ROW]
[ROW][C]10[/C][C]171[/C][C]155.122[/C][C]168.792[/C][C]-13.6693[/C][C]15.8776[/C][/ROW]
[ROW][C]11[/C][C]161[/C][C]168.789[/C][C]169.167[/C][C]-0.377604[/C][C]-7.78906[/C][/ROW]
[ROW][C]12[/C][C]188[/C][C]184.076[/C][C]169.083[/C][C]14.9922[/C][C]3.92448[/C][/ROW]
[ROW][C]13[/C][C]158[/C][C]158.336[/C][C]169.167[/C][C]-10.8307[/C][C]-0.335938[/C][/ROW]
[ROW][C]14[/C][C]170[/C][C]149.648[/C][C]169.917[/C][C]-20.2682[/C][C]20.3516[/C][/ROW]
[ROW][C]15[/C][C]165[/C][C]177.466[/C][C]171[/C][C]6.46615[/C][C]-12.4661[/C][/ROW]
[ROW][C]16[/C][C]163[/C][C]172.424[/C][C]171.125[/C][C]1.29948[/C][C]-9.42448[/C][/ROW]
[ROW][C]17[/C][C]180[/C][C]189.216[/C][C]170.792[/C][C]18.4245[/C][C]-9.21615[/C][/ROW]
[ROW][C]18[/C][C]170[/C][C]166.388[/C][C]170.708[/C][C]-4.32031[/C][C]3.61198[/C][/ROW]
[ROW][C]19[/C][C]166[/C][C]160.643[/C][C]170.583[/C][C]-9.9401[/C][C]5.35677[/C][/ROW]
[ROW][C]20[/C][C]178[/C][C]160.414[/C][C]170.708[/C][C]-10.2943[/C][C]17.5859[/C][/ROW]
[ROW][C]21[/C][C]189[/C][C]199.643[/C][C]171.125[/C][C]28.5182[/C][C]-10.6432[/C][/ROW]
[ROW][C]22[/C][C]160[/C][C]158.289[/C][C]171.958[/C][C]-13.6693[/C][C]1.71094[/C][/ROW]
[ROW][C]23[/C][C]164[/C][C]172.164[/C][C]172.542[/C][C]-0.377604[/C][C]-8.16406[/C][/ROW]
[ROW][C]24[/C][C]183[/C][C]187.909[/C][C]172.917[/C][C]14.9922[/C][C]-4.90885[/C][/ROW]
[ROW][C]25[/C][C]160[/C][C]161.836[/C][C]172.667[/C][C]-10.8307[/C][C]-1.83594[/C][/ROW]
[ROW][C]26[/C][C]171[/C][C]151.065[/C][C]171.333[/C][C]-20.2682[/C][C]19.9349[/C][/ROW]
[ROW][C]27[/C][C]174[/C][C]177.383[/C][C]170.917[/C][C]6.46615[/C][C]-3.38281[/C][/ROW]
[ROW][C]28[/C][C]174[/C][C]172.466[/C][C]171.167[/C][C]1.29948[/C][C]1.53385[/C][/ROW]
[ROW][C]29[/C][C]183[/C][C]189.883[/C][C]171.458[/C][C]18.4245[/C][C]-6.88281[/C][/ROW]
[ROW][C]30[/C][C]176[/C][C]167.513[/C][C]171.833[/C][C]-4.32031[/C][C]8.48698[/C][/ROW]
[ROW][C]31[/C][C]154[/C][C]161.518[/C][C]171.458[/C][C]-9.9401[/C][C]-7.51823[/C][/ROW]
[ROW][C]32[/C][C]158[/C][C]160.456[/C][C]170.75[/C][C]-10.2943[/C][C]-2.45573[/C][/ROW]
[ROW][C]33[/C][C]199[/C][C]198.893[/C][C]170.375[/C][C]28.5182[/C][C]0.106771[/C][/ROW]
[ROW][C]34[/C][C]156[/C][C]156.789[/C][C]170.458[/C][C]-13.6693[/C][C]-0.789062[/C][/ROW]
[ROW][C]35[/C][C]175[/C][C]170.122[/C][C]170.5[/C][C]-0.377604[/C][C]4.8776[/C][/ROW]
[ROW][C]36[/C][C]181[/C][C]185.701[/C][C]170.708[/C][C]14.9922[/C][C]-4.70052[/C][/ROW]
[ROW][C]37[/C][C]153[/C][C]160.294[/C][C]171.125[/C][C]-10.8307[/C][C]-7.29427[/C][/ROW]
[ROW][C]38[/C][C]161[/C][C]151.065[/C][C]171.333[/C][C]-20.2682[/C][C]9.9349[/C][/ROW]
[ROW][C]39[/C][C]175[/C][C]177.591[/C][C]171.125[/C][C]6.46615[/C][C]-2.59115[/C][/ROW]
[ROW][C]40[/C][C]175[/C][C]172.133[/C][C]170.833[/C][C]1.29948[/C][C]2.86719[/C][/ROW]
[ROW][C]41[/C][C]183[/C][C]189.091[/C][C]170.667[/C][C]18.4245[/C][C]-6.09115[/C][/ROW]
[ROW][C]42[/C][C]181[/C][C]166.471[/C][C]170.792[/C][C]-4.32031[/C][C]14.5286[/C][/ROW]
[ROW][C]43[/C][C]159[/C][C]160.852[/C][C]170.792[/C][C]-9.9401[/C][C]-1.85156[/C][/ROW]
[ROW][C]44[/C][C]158[/C][C]159.789[/C][C]170.083[/C][C]-10.2943[/C][C]-1.78906[/C][/ROW]
[ROW][C]45[/C][C]194[/C][C]198.102[/C][C]169.583[/C][C]28.5182[/C][C]-4.10156[/C][/ROW]
[ROW][C]46[/C][C]154[/C][C]155.831[/C][C]169.5[/C][C]-13.6693[/C][C]-1.83073[/C][/ROW]
[ROW][C]47[/C][C]173[/C][C]169.289[/C][C]169.667[/C][C]-0.377604[/C][C]3.71094[/C][/ROW]
[ROW][C]48[/C][C]186[/C][C]184.659[/C][C]169.667[/C][C]14.9922[/C][C]1.34115[/C][/ROW]
[ROW][C]49[/C][C]148[/C][C]158.669[/C][C]169.5[/C][C]-10.8307[/C][C]-10.6693[/C][/ROW]
[ROW][C]50[/C][C]149[/C][C]148.982[/C][C]169.25[/C][C]-20.2682[/C][C]0.0182292[/C][/ROW]
[ROW][C]51[/C][C]175[/C][C]175.633[/C][C]169.167[/C][C]6.46615[/C][C]-0.632812[/C][/ROW]
[ROW][C]52[/C][C]173[/C][C]170.674[/C][C]169.375[/C][C]1.29948[/C][C]2.32552[/C][/ROW]
[ROW][C]53[/C][C]189[/C][C]187.758[/C][C]169.333[/C][C]18.4245[/C][C]1.24219[/C][/ROW]
[ROW][C]54[/C][C]175[/C][C]164.805[/C][C]169.125[/C][C]-4.32031[/C][C]10.1953[/C][/ROW]
[ROW][C]55[/C][C]161[/C][C]159.393[/C][C]169.333[/C][C]-9.9401[/C][C]1.60677[/C][/ROW]
[ROW][C]56[/C][C]150[/C][C]159.122[/C][C]169.417[/C][C]-10.2943[/C][C]-9.1224[/C][/ROW]
[ROW][C]57[/C][C]200[/C][C]197.56[/C][C]169.042[/C][C]28.5182[/C][C]2.4401[/C][/ROW]
[ROW][C]58[/C][C]153[/C][C]155.331[/C][C]169[/C][C]-13.6693[/C][C]-2.33073[/C][/ROW]
[ROW][C]59[/C][C]173[/C][C]168.914[/C][C]169.292[/C][C]-0.377604[/C][C]4.08594[/C][/ROW]
[ROW][C]60[/C][C]181[/C][C]184.159[/C][C]169.167[/C][C]14.9922[/C][C]-3.15885[/C][/ROW]
[ROW][C]61[/C][C]158[/C][C]157.503[/C][C]168.333[/C][C]-10.8307[/C][C]0.497396[/C][/ROW]
[ROW][C]62[/C][C]141[/C][C]147.607[/C][C]167.875[/C][C]-20.2682[/C][C]-6.60677[/C][/ROW]
[ROW][C]63[/C][C]174[/C][C]174.216[/C][C]167.75[/C][C]6.46615[/C][C]-0.216146[/C][/ROW]
[ROW][C]64[/C][C]173[/C][C]168.591[/C][C]167.292[/C][C]1.29948[/C][C]4.40885[/C][/ROW]
[ROW][C]65[/C][C]196[/C][C]185.049[/C][C]166.625[/C][C]18.4245[/C][C]10.9505[/C][/ROW]
[ROW][C]66[/C][C]165[/C][C]161.888[/C][C]166.208[/C][C]-4.32031[/C][C]3.11198[/C][/ROW]
[ROW][C]67[/C][C]151[/C][C]156.143[/C][C]166.083[/C][C]-9.9401[/C][C]-5.14323[/C][/ROW]
[ROW][C]68[/C][C]149[/C][C]155.331[/C][C]165.625[/C][C]-10.2943[/C][C]-6.33073[/C][/ROW]
[ROW][C]69[/C][C]198[/C][C]193.977[/C][C]165.458[/C][C]28.5182[/C][C]4.02344[/C][/ROW]
[ROW][C]70[/C][C]144[/C][C]151.956[/C][C]165.625[/C][C]-13.6693[/C][C]-7.95573[/C][/ROW]
[ROW][C]71[/C][C]166[/C][C]164.789[/C][C]165.167[/C][C]-0.377604[/C][C]1.21094[/C][/ROW]
[ROW][C]72[/C][C]178[/C][C]179.409[/C][C]164.417[/C][C]14.9922[/C][C]-1.40885[/C][/ROW]
[ROW][C]73[/C][C]158[/C][C]153.461[/C][C]164.292[/C][C]-10.8307[/C][C]4.53906[/C][/ROW]
[ROW][C]74[/C][C]130[/C][C]144.482[/C][C]164.75[/C][C]-20.2682[/C][C]-14.4818[/C][/ROW]
[ROW][C]75[/C][C]181[/C][C]171.883[/C][C]165.417[/C][C]6.46615[/C][C]9.11719[/C][/ROW]
[ROW][C]76[/C][C]170[/C][C]167.508[/C][C]166.208[/C][C]1.29948[/C][C]2.49219[/C][/ROW]
[ROW][C]77[/C][C]188[/C][C]185.049[/C][C]166.625[/C][C]18.4245[/C][C]2.95052[/C][/ROW]
[ROW][C]78[/C][C]155[/C][C]162.721[/C][C]167.042[/C][C]-4.32031[/C][C]-7.72135[/C][/ROW]
[ROW][C]79[/C][C]158[/C][C]157.435[/C][C]167.375[/C][C]-9.9401[/C][C]0.565104[/C][/ROW]
[ROW][C]80[/C][C]153[/C][C]157.122[/C][C]167.417[/C][C]-10.2943[/C][C]-4.1224[/C][/ROW]
[ROW][C]81[/C][C]210[/C][C]195.935[/C][C]167.417[/C][C]28.5182[/C][C]14.0651[/C][/ROW]
[ROW][C]82[/C][C]151[/C][C]153.497[/C][C]167.167[/C][C]-13.6693[/C][C]-2.4974[/C][/ROW]
[ROW][C]83[/C][C]169[/C][C]166.581[/C][C]166.958[/C][C]-0.377604[/C][C]2.41927[/C][/ROW]
[ROW][C]84[/C][C]185[/C][C]181.576[/C][C]166.583[/C][C]14.9922[/C][C]3.42448[/C][/ROW]
[ROW][C]85[/C][C]159[/C][C]155.461[/C][C]166.292[/C][C]-10.8307[/C][C]3.53906[/C][/ROW]
[ROW][C]86[/C][C]130[/C][C]146.19[/C][C]166.458[/C][C]-20.2682[/C][C]-16.1901[/C][/ROW]
[ROW][C]87[/C][C]181[/C][C]172.966[/C][C]166.5[/C][C]6.46615[/C][C]8.03385[/C][/ROW]
[ROW][C]88[/C][C]164[/C][C]167.716[/C][C]166.417[/C][C]1.29948[/C][C]-3.71615[/C][/ROW]
[ROW][C]89[/C][C]189[/C][C]184.549[/C][C]166.125[/C][C]18.4245[/C][C]4.45052[/C][/ROW]
[ROW][C]90[/C][C]145[/C][C]161.596[/C][C]165.917[/C][C]-4.32031[/C][C]-16.5964[/C][/ROW]
[ROW][C]91[/C][C]161[/C][C]156.227[/C][C]166.167[/C][C]-9.9401[/C][C]4.77344[/C][/ROW]
[ROW][C]92[/C][C]154[/C][C]156.164[/C][C]166.458[/C][C]-10.2943[/C][C]-2.16406[/C][/ROW]
[ROW][C]93[/C][C]210[/C][C]194.685[/C][C]166.167[/C][C]28.5182[/C][C]15.3151[/C][/ROW]
[ROW][C]94[/C][C]149[/C][C]152.206[/C][C]165.875[/C][C]-13.6693[/C][C]-3.20573[/C][/ROW]
[ROW][C]95[/C][C]164[/C][C]165.372[/C][C]165.75[/C][C]-0.377604[/C][C]-1.3724[/C][/ROW]
[ROW][C]96[/C][C]185[/C][C]180.534[/C][C]165.542[/C][C]14.9922[/C][C]4.46615[/C][/ROW]
[ROW][C]97[/C][C]165[/C][C]154.461[/C][C]165.292[/C][C]-10.8307[/C][C]10.5391[/C][/ROW]
[ROW][C]98[/C][C]131[/C][C]144.982[/C][C]165.25[/C][C]-20.2682[/C][C]-13.9818[/C][/ROW]
[ROW][C]99[/C][C]173[/C][C]171.883[/C][C]165.417[/C][C]6.46615[/C][C]1.11719[/C][/ROW]
[ROW][C]100[/C][C]165[/C][C]166.508[/C][C]165.208[/C][C]1.29948[/C][C]-1.50781[/C][/ROW]
[ROW][C]101[/C][C]185[/C][C]183.424[/C][C]165[/C][C]18.4245[/C][C]1.57552[/C][/ROW]
[ROW][C]102[/C][C]144[/C][C]160.638[/C][C]164.958[/C][C]-4.32031[/C][C]-16.638[/C][/ROW]
[ROW][C]103[/C][C]156[/C][C]NA[/C][C]NA[/C][C]-9.9401[/C][C]NA[/C][/ROW]
[ROW][C]104[/C][C]158[/C][C]NA[/C][C]NA[/C][C]-10.2943[/C][C]NA[/C][/ROW]
[ROW][C]105[/C][C]210[/C][C]NA[/C][C]NA[/C][C]28.5182[/C][C]NA[/C][/ROW]
[ROW][C]106[/C][C]144[/C][C]NA[/C][C]NA[/C][C]-13.6693[/C][C]NA[/C][/ROW]
[ROW][C]107[/C][C]164[/C][C]NA[/C][C]NA[/C][C]-0.377604[/C][C]NA[/C][/ROW]
[ROW][C]108[/C][C]184[/C][C]NA[/C][C]NA[/C][C]14.9922[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=296310&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=296310&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
1154NANA-10.8307NA
2170NANA-20.2682NA
3170NANA6.46615NA
4156NANA1.29948NA
5178NANA18.4245NA
6174NANA-4.32031NA
7160158.81168.75-9.94011.1901
8166158.622168.917-10.29437.3776
9175197.227168.70828.5182-22.2266
10171155.122168.792-13.669315.8776
11161168.789169.167-0.377604-7.78906
12188184.076169.08314.99223.92448
13158158.336169.167-10.8307-0.335938
14170149.648169.917-20.268220.3516
15165177.4661716.46615-12.4661
16163172.424171.1251.29948-9.42448
17180189.216170.79218.4245-9.21615
18170166.388170.708-4.320313.61198
19166160.643170.583-9.94015.35677
20178160.414170.708-10.294317.5859
21189199.643171.12528.5182-10.6432
22160158.289171.958-13.66931.71094
23164172.164172.542-0.377604-8.16406
24183187.909172.91714.9922-4.90885
25160161.836172.667-10.8307-1.83594
26171151.065171.333-20.268219.9349
27174177.383170.9176.46615-3.38281
28174172.466171.1671.299481.53385
29183189.883171.45818.4245-6.88281
30176167.513171.833-4.320318.48698
31154161.518171.458-9.9401-7.51823
32158160.456170.75-10.2943-2.45573
33199198.893170.37528.51820.106771
34156156.789170.458-13.6693-0.789062
35175170.122170.5-0.3776044.8776
36181185.701170.70814.9922-4.70052
37153160.294171.125-10.8307-7.29427
38161151.065171.333-20.26829.9349
39175177.591171.1256.46615-2.59115
40175172.133170.8331.299482.86719
41183189.091170.66718.4245-6.09115
42181166.471170.792-4.3203114.5286
43159160.852170.792-9.9401-1.85156
44158159.789170.083-10.2943-1.78906
45194198.102169.58328.5182-4.10156
46154155.831169.5-13.6693-1.83073
47173169.289169.667-0.3776043.71094
48186184.659169.66714.99221.34115
49148158.669169.5-10.8307-10.6693
50149148.982169.25-20.26820.0182292
51175175.633169.1676.46615-0.632812
52173170.674169.3751.299482.32552
53189187.758169.33318.42451.24219
54175164.805169.125-4.3203110.1953
55161159.393169.333-9.94011.60677
56150159.122169.417-10.2943-9.1224
57200197.56169.04228.51822.4401
58153155.331169-13.6693-2.33073
59173168.914169.292-0.3776044.08594
60181184.159169.16714.9922-3.15885
61158157.503168.333-10.83070.497396
62141147.607167.875-20.2682-6.60677
63174174.216167.756.46615-0.216146
64173168.591167.2921.299484.40885
65196185.049166.62518.424510.9505
66165161.888166.208-4.320313.11198
67151156.143166.083-9.9401-5.14323
68149155.331165.625-10.2943-6.33073
69198193.977165.45828.51824.02344
70144151.956165.625-13.6693-7.95573
71166164.789165.167-0.3776041.21094
72178179.409164.41714.9922-1.40885
73158153.461164.292-10.83074.53906
74130144.482164.75-20.2682-14.4818
75181171.883165.4176.466159.11719
76170167.508166.2081.299482.49219
77188185.049166.62518.42452.95052
78155162.721167.042-4.32031-7.72135
79158157.435167.375-9.94010.565104
80153157.122167.417-10.2943-4.1224
81210195.935167.41728.518214.0651
82151153.497167.167-13.6693-2.4974
83169166.581166.958-0.3776042.41927
84185181.576166.58314.99223.42448
85159155.461166.292-10.83073.53906
86130146.19166.458-20.2682-16.1901
87181172.966166.56.466158.03385
88164167.716166.4171.29948-3.71615
89189184.549166.12518.42454.45052
90145161.596165.917-4.32031-16.5964
91161156.227166.167-9.94014.77344
92154156.164166.458-10.2943-2.16406
93210194.685166.16728.518215.3151
94149152.206165.875-13.6693-3.20573
95164165.372165.75-0.377604-1.3724
96185180.534165.54214.99224.46615
97165154.461165.292-10.830710.5391
98131144.982165.25-20.2682-13.9818
99173171.883165.4176.466151.11719
100165166.508165.2081.29948-1.50781
101185183.42416518.42451.57552
102144160.638164.958-4.32031-16.638
103156NANA-9.9401NA
104158NANA-10.2943NA
105210NANA28.5182NA
106144NANA-13.6693NA
107164NANA-0.377604NA
108184NANA14.9922NA



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