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Author's title

Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationMon, 20 Jul 2015 13:31:35 +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/2015/Jul/20/t1437395534kpnfd2i7235kyhs.htm/, Retrieved Fri, 17 May 2024 01:43:55 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=279605, Retrieved Fri, 17 May 2024 01:43:55 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact149
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [(Partial) Autocorrelation Function] [STAP 20 Omzet vorken] [2015-07-20 11:10:10] [110a48b2e0105bb86f6db58fdf2bbafc]
- RMP     [Classical Decomposition] [STAP 29 Omzet vorken] [2015-07-20 12:31:35] [70d22f55a70f3427b60459805adf1606] [Current]
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Dataseries X:
209.704
208.923
208.131
206.492
222.706
221.848
209.704
201.630
202.411
202.411
203.280
204.842
207.273
207.273
205.711
201.630
222.706
225.918
221.067
209.704
214.566
207.273
210.562
212.135
213.774
209.704
210.562
204.842
222.706
228.349
223.498
214.566
224.279
213.774
223.498
222.706
225.137
216.205
225.918
225.137
239.712
236.423
223.498
216.986
225.918
213.774
222.706
224.279
227.568
220.286
224.279
226.710
235.642
228.349
218.636
208.131
217.855
191.125
204.061
211.343
218.636
208.131
208.131
208.131
213.774
205.711
195.129
186.274
192.698
167.618
182.985
191.917
193.556
184.624
185.405
182.985
191.125
185.405
174.130
165.979
179.762
149.831
169.268
178.123
178.123
167.618
157.905
157.124
165.979
157.905
142.549
131.967
143.330
116.611
140.899
153.824
157.905
148.973
137.687
145.761
148.973
146.542
122.243
110.968
119.031
94.743
119.823
128.755
136.037
123.893
112.530
119.031
122.243
115.819
91.531
80.949
90.662
63.943
93.093
110.968




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

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=279605&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=279605&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=279605&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' @ jenkins.wessa.net







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
1209.704NANA1.04689NA
2208.923NANA1.00798NA
3208.131NANA0.995612NA
4206.492NANA1.01031NA
5222.706NANA1.07083NA
6221.848NANA1.0547NA
7209.704205.995208.4060.9884351.018
8201.63196.14208.2350.9419151.02799
9202.411206.405208.0660.9920160.980651
10202.411185.507207.7620.8928821.09112
11203.28203.116207.560.9785891.00081
12204.842211.851207.7291.019840.966915
13207.273218.142208.3731.046890.950173
14207.273210.852209.1821.007980.983026
15205.711209.104210.0250.9956120.983775
16201.63212.906210.7341.010310.947037
17222.706226.202211.241.070830.984543
18225.918223.437211.8481.05471.01111
19221.067209.966212.4220.9884351.05287
20209.704200.434212.7950.9419151.04625
21214.566211.397213.0980.9920161.01499
22207.273190.571213.4340.8928821.08764
23210.562208.995213.5680.9785891.0075
24212.135217.908213.6691.019840.973505
25213.774223.899213.8721.046890.954777
26209.704215.885214.1761.007980.971369
27210.562213.84214.7830.9956120.984669
28204.842217.679215.4581.010310.941028
29222.706231.587216.2681.070830.961653
30228.349229.132217.2481.05470.996582
31223.498215.639218.1620.9884351.03645
32214.566206.191218.9060.9419151.04062
33224.279218.062219.8170.9920161.02851
34213.774197.597221.3020.8928821.08187
35223.498218.085222.8560.9785891.02482
36222.706228.344223.9011.019840.97531
37225.137234.752224.2381.046890.959044
38216.205226.129224.3391.007980.956113
39225.918223.523224.5080.9956121.01072
40225.137226.891224.5761.010310.992272
41239.712240.447224.5431.070830.996942
42236.423236.861224.5761.05470.998151
43223.498222.143224.7420.9884351.0061
44216.986211.944225.0140.9419151.02379
45225.918223.318225.1150.9920161.01164
46213.774200.999225.1130.8928821.06356
47222.706220.191225.0090.9785891.01142
48224.279228.957224.5031.019840.979568
49227.568234.465223.9641.046890.970586
50220.286225.175223.3921.007980.978288
51224.279221.71222.6870.9956121.01159
52226.71223.689221.4081.010311.0135
53235.642235.247219.6871.070831.00168
54228.349230.317218.3711.05470.991455
55218.636214.945217.460.9884351.01717
56208.131204.001216.5810.9419151.02024
57217.855213.682215.4020.9920161.01953
58191.125191.037213.9550.8928821.00046
59204.061207.725212.270.9785890.982362
60211.343214.59210.4151.019840.984868
61218.636218.268208.4931.046891.00169
62208.131208.251206.6021.007980.999422
63208.131203.746204.6440.9956121.02152
64208.131204.704202.6161.010311.01674
65213.774214.978200.7581.070830.9944
66205.711209.961199.0711.05470.979759
67195.129194.936197.2160.9884351.00099
68186.274183.854195.1920.9419151.01316
69192.698191.722193.2650.9920161.00509
70167.618170.782191.2710.8928820.981472
71182.985185.227189.2790.9785890.987898
72191.917191.209187.491.019841.0037
73193.556194.479185.7681.046890.995256
74184.624185.517184.0481.007980.995187
75185.405181.862182.6630.9956121.01948
76182.985183.252181.3831.010310.99854
77191.125192.825180.071.070830.991184
78185.405188.712178.9241.05470.982475
79174.13175.651177.7060.9884350.991339
80165.979166.111176.3550.9419150.999205
81179.762173.107174.50.9920161.03844
82149.831153.823172.2770.8928820.974048
83169.268166.509170.1520.9785891.01657
84178.123171.291167.9581.019841.03989
85178.123173.256165.4961.046891.02809
86167.618164.062162.7631.007981.02167
87157.905159.127159.8280.9956120.992321
88157.124158.543156.9261.010310.991048
89165.979165.293154.361.070831.00415
90157.905160.489152.1651.05470.983897
91142.549148.572150.310.9884350.95946
92131.967140.054148.6910.9419150.942256
93143.33145.898147.0720.9920160.982401
94116.611130.143145.7560.8928820.896023
95140.899141.479144.5740.9785890.995904
96153.824146.237143.3921.019841.05188
97157.905148.734142.0721.046891.06166
98148.973141.471140.3511.007981.05303
99137.687137.856138.4640.9956120.998772
100145.761137.947136.541.010311.05664
101148.973144.295134.7511.070831.03242
102146.542140.095132.8281.05471.04602
103122.243129.359130.8720.9884350.94499
104110.968121.428128.9160.9419150.913857
105119.031125.811126.8230.9920160.946113
10694.743111.308124.6610.8928820.851181
107119.823119.812122.4340.9785891.00009
108128.755122.422120.041.019841.05174
109136.037122.988117.481.046891.1061
110123.893115.867114.951.007981.06927
111112.53112.023112.5170.9956121.00453
112119.031111.186110.0511.010311.07056
113122.243115.279107.6541.070831.06041
114115.819111.587105.7991.05471.03792
11591.531NANA0.988435NA
11680.949NANA0.941915NA
11790.662NANA0.992016NA
11863.943NANA0.892882NA
11993.093NANA0.978589NA
120110.968NANA1.01984NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 209.704 & NA & NA & 1.04689 & NA \tabularnewline
2 & 208.923 & NA & NA & 1.00798 & NA \tabularnewline
3 & 208.131 & NA & NA & 0.995612 & NA \tabularnewline
4 & 206.492 & NA & NA & 1.01031 & NA \tabularnewline
5 & 222.706 & NA & NA & 1.07083 & NA \tabularnewline
6 & 221.848 & NA & NA & 1.0547 & NA \tabularnewline
7 & 209.704 & 205.995 & 208.406 & 0.988435 & 1.018 \tabularnewline
8 & 201.63 & 196.14 & 208.235 & 0.941915 & 1.02799 \tabularnewline
9 & 202.411 & 206.405 & 208.066 & 0.992016 & 0.980651 \tabularnewline
10 & 202.411 & 185.507 & 207.762 & 0.892882 & 1.09112 \tabularnewline
11 & 203.28 & 203.116 & 207.56 & 0.978589 & 1.00081 \tabularnewline
12 & 204.842 & 211.851 & 207.729 & 1.01984 & 0.966915 \tabularnewline
13 & 207.273 & 218.142 & 208.373 & 1.04689 & 0.950173 \tabularnewline
14 & 207.273 & 210.852 & 209.182 & 1.00798 & 0.983026 \tabularnewline
15 & 205.711 & 209.104 & 210.025 & 0.995612 & 0.983775 \tabularnewline
16 & 201.63 & 212.906 & 210.734 & 1.01031 & 0.947037 \tabularnewline
17 & 222.706 & 226.202 & 211.24 & 1.07083 & 0.984543 \tabularnewline
18 & 225.918 & 223.437 & 211.848 & 1.0547 & 1.01111 \tabularnewline
19 & 221.067 & 209.966 & 212.422 & 0.988435 & 1.05287 \tabularnewline
20 & 209.704 & 200.434 & 212.795 & 0.941915 & 1.04625 \tabularnewline
21 & 214.566 & 211.397 & 213.098 & 0.992016 & 1.01499 \tabularnewline
22 & 207.273 & 190.571 & 213.434 & 0.892882 & 1.08764 \tabularnewline
23 & 210.562 & 208.995 & 213.568 & 0.978589 & 1.0075 \tabularnewline
24 & 212.135 & 217.908 & 213.669 & 1.01984 & 0.973505 \tabularnewline
25 & 213.774 & 223.899 & 213.872 & 1.04689 & 0.954777 \tabularnewline
26 & 209.704 & 215.885 & 214.176 & 1.00798 & 0.971369 \tabularnewline
27 & 210.562 & 213.84 & 214.783 & 0.995612 & 0.984669 \tabularnewline
28 & 204.842 & 217.679 & 215.458 & 1.01031 & 0.941028 \tabularnewline
29 & 222.706 & 231.587 & 216.268 & 1.07083 & 0.961653 \tabularnewline
30 & 228.349 & 229.132 & 217.248 & 1.0547 & 0.996582 \tabularnewline
31 & 223.498 & 215.639 & 218.162 & 0.988435 & 1.03645 \tabularnewline
32 & 214.566 & 206.191 & 218.906 & 0.941915 & 1.04062 \tabularnewline
33 & 224.279 & 218.062 & 219.817 & 0.992016 & 1.02851 \tabularnewline
34 & 213.774 & 197.597 & 221.302 & 0.892882 & 1.08187 \tabularnewline
35 & 223.498 & 218.085 & 222.856 & 0.978589 & 1.02482 \tabularnewline
36 & 222.706 & 228.344 & 223.901 & 1.01984 & 0.97531 \tabularnewline
37 & 225.137 & 234.752 & 224.238 & 1.04689 & 0.959044 \tabularnewline
38 & 216.205 & 226.129 & 224.339 & 1.00798 & 0.956113 \tabularnewline
39 & 225.918 & 223.523 & 224.508 & 0.995612 & 1.01072 \tabularnewline
40 & 225.137 & 226.891 & 224.576 & 1.01031 & 0.992272 \tabularnewline
41 & 239.712 & 240.447 & 224.543 & 1.07083 & 0.996942 \tabularnewline
42 & 236.423 & 236.861 & 224.576 & 1.0547 & 0.998151 \tabularnewline
43 & 223.498 & 222.143 & 224.742 & 0.988435 & 1.0061 \tabularnewline
44 & 216.986 & 211.944 & 225.014 & 0.941915 & 1.02379 \tabularnewline
45 & 225.918 & 223.318 & 225.115 & 0.992016 & 1.01164 \tabularnewline
46 & 213.774 & 200.999 & 225.113 & 0.892882 & 1.06356 \tabularnewline
47 & 222.706 & 220.191 & 225.009 & 0.978589 & 1.01142 \tabularnewline
48 & 224.279 & 228.957 & 224.503 & 1.01984 & 0.979568 \tabularnewline
49 & 227.568 & 234.465 & 223.964 & 1.04689 & 0.970586 \tabularnewline
50 & 220.286 & 225.175 & 223.392 & 1.00798 & 0.978288 \tabularnewline
51 & 224.279 & 221.71 & 222.687 & 0.995612 & 1.01159 \tabularnewline
52 & 226.71 & 223.689 & 221.408 & 1.01031 & 1.0135 \tabularnewline
53 & 235.642 & 235.247 & 219.687 & 1.07083 & 1.00168 \tabularnewline
54 & 228.349 & 230.317 & 218.371 & 1.0547 & 0.991455 \tabularnewline
55 & 218.636 & 214.945 & 217.46 & 0.988435 & 1.01717 \tabularnewline
56 & 208.131 & 204.001 & 216.581 & 0.941915 & 1.02024 \tabularnewline
57 & 217.855 & 213.682 & 215.402 & 0.992016 & 1.01953 \tabularnewline
58 & 191.125 & 191.037 & 213.955 & 0.892882 & 1.00046 \tabularnewline
59 & 204.061 & 207.725 & 212.27 & 0.978589 & 0.982362 \tabularnewline
60 & 211.343 & 214.59 & 210.415 & 1.01984 & 0.984868 \tabularnewline
61 & 218.636 & 218.268 & 208.493 & 1.04689 & 1.00169 \tabularnewline
62 & 208.131 & 208.251 & 206.602 & 1.00798 & 0.999422 \tabularnewline
63 & 208.131 & 203.746 & 204.644 & 0.995612 & 1.02152 \tabularnewline
64 & 208.131 & 204.704 & 202.616 & 1.01031 & 1.01674 \tabularnewline
65 & 213.774 & 214.978 & 200.758 & 1.07083 & 0.9944 \tabularnewline
66 & 205.711 & 209.961 & 199.071 & 1.0547 & 0.979759 \tabularnewline
67 & 195.129 & 194.936 & 197.216 & 0.988435 & 1.00099 \tabularnewline
68 & 186.274 & 183.854 & 195.192 & 0.941915 & 1.01316 \tabularnewline
69 & 192.698 & 191.722 & 193.265 & 0.992016 & 1.00509 \tabularnewline
70 & 167.618 & 170.782 & 191.271 & 0.892882 & 0.981472 \tabularnewline
71 & 182.985 & 185.227 & 189.279 & 0.978589 & 0.987898 \tabularnewline
72 & 191.917 & 191.209 & 187.49 & 1.01984 & 1.0037 \tabularnewline
73 & 193.556 & 194.479 & 185.768 & 1.04689 & 0.995256 \tabularnewline
74 & 184.624 & 185.517 & 184.048 & 1.00798 & 0.995187 \tabularnewline
75 & 185.405 & 181.862 & 182.663 & 0.995612 & 1.01948 \tabularnewline
76 & 182.985 & 183.252 & 181.383 & 1.01031 & 0.99854 \tabularnewline
77 & 191.125 & 192.825 & 180.07 & 1.07083 & 0.991184 \tabularnewline
78 & 185.405 & 188.712 & 178.924 & 1.0547 & 0.982475 \tabularnewline
79 & 174.13 & 175.651 & 177.706 & 0.988435 & 0.991339 \tabularnewline
80 & 165.979 & 166.111 & 176.355 & 0.941915 & 0.999205 \tabularnewline
81 & 179.762 & 173.107 & 174.5 & 0.992016 & 1.03844 \tabularnewline
82 & 149.831 & 153.823 & 172.277 & 0.892882 & 0.974048 \tabularnewline
83 & 169.268 & 166.509 & 170.152 & 0.978589 & 1.01657 \tabularnewline
84 & 178.123 & 171.291 & 167.958 & 1.01984 & 1.03989 \tabularnewline
85 & 178.123 & 173.256 & 165.496 & 1.04689 & 1.02809 \tabularnewline
86 & 167.618 & 164.062 & 162.763 & 1.00798 & 1.02167 \tabularnewline
87 & 157.905 & 159.127 & 159.828 & 0.995612 & 0.992321 \tabularnewline
88 & 157.124 & 158.543 & 156.926 & 1.01031 & 0.991048 \tabularnewline
89 & 165.979 & 165.293 & 154.36 & 1.07083 & 1.00415 \tabularnewline
90 & 157.905 & 160.489 & 152.165 & 1.0547 & 0.983897 \tabularnewline
91 & 142.549 & 148.572 & 150.31 & 0.988435 & 0.95946 \tabularnewline
92 & 131.967 & 140.054 & 148.691 & 0.941915 & 0.942256 \tabularnewline
93 & 143.33 & 145.898 & 147.072 & 0.992016 & 0.982401 \tabularnewline
94 & 116.611 & 130.143 & 145.756 & 0.892882 & 0.896023 \tabularnewline
95 & 140.899 & 141.479 & 144.574 & 0.978589 & 0.995904 \tabularnewline
96 & 153.824 & 146.237 & 143.392 & 1.01984 & 1.05188 \tabularnewline
97 & 157.905 & 148.734 & 142.072 & 1.04689 & 1.06166 \tabularnewline
98 & 148.973 & 141.471 & 140.351 & 1.00798 & 1.05303 \tabularnewline
99 & 137.687 & 137.856 & 138.464 & 0.995612 & 0.998772 \tabularnewline
100 & 145.761 & 137.947 & 136.54 & 1.01031 & 1.05664 \tabularnewline
101 & 148.973 & 144.295 & 134.751 & 1.07083 & 1.03242 \tabularnewline
102 & 146.542 & 140.095 & 132.828 & 1.0547 & 1.04602 \tabularnewline
103 & 122.243 & 129.359 & 130.872 & 0.988435 & 0.94499 \tabularnewline
104 & 110.968 & 121.428 & 128.916 & 0.941915 & 0.913857 \tabularnewline
105 & 119.031 & 125.811 & 126.823 & 0.992016 & 0.946113 \tabularnewline
106 & 94.743 & 111.308 & 124.661 & 0.892882 & 0.851181 \tabularnewline
107 & 119.823 & 119.812 & 122.434 & 0.978589 & 1.00009 \tabularnewline
108 & 128.755 & 122.422 & 120.04 & 1.01984 & 1.05174 \tabularnewline
109 & 136.037 & 122.988 & 117.48 & 1.04689 & 1.1061 \tabularnewline
110 & 123.893 & 115.867 & 114.95 & 1.00798 & 1.06927 \tabularnewline
111 & 112.53 & 112.023 & 112.517 & 0.995612 & 1.00453 \tabularnewline
112 & 119.031 & 111.186 & 110.051 & 1.01031 & 1.07056 \tabularnewline
113 & 122.243 & 115.279 & 107.654 & 1.07083 & 1.06041 \tabularnewline
114 & 115.819 & 111.587 & 105.799 & 1.0547 & 1.03792 \tabularnewline
115 & 91.531 & NA & NA & 0.988435 & NA \tabularnewline
116 & 80.949 & NA & NA & 0.941915 & NA \tabularnewline
117 & 90.662 & NA & NA & 0.992016 & NA \tabularnewline
118 & 63.943 & NA & NA & 0.892882 & NA \tabularnewline
119 & 93.093 & NA & NA & 0.978589 & NA \tabularnewline
120 & 110.968 & NA & NA & 1.01984 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=279605&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]209.704[/C][C]NA[/C][C]NA[/C][C]1.04689[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]208.923[/C][C]NA[/C][C]NA[/C][C]1.00798[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]208.131[/C][C]NA[/C][C]NA[/C][C]0.995612[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]206.492[/C][C]NA[/C][C]NA[/C][C]1.01031[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]222.706[/C][C]NA[/C][C]NA[/C][C]1.07083[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]221.848[/C][C]NA[/C][C]NA[/C][C]1.0547[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]209.704[/C][C]205.995[/C][C]208.406[/C][C]0.988435[/C][C]1.018[/C][/ROW]
[ROW][C]8[/C][C]201.63[/C][C]196.14[/C][C]208.235[/C][C]0.941915[/C][C]1.02799[/C][/ROW]
[ROW][C]9[/C][C]202.411[/C][C]206.405[/C][C]208.066[/C][C]0.992016[/C][C]0.980651[/C][/ROW]
[ROW][C]10[/C][C]202.411[/C][C]185.507[/C][C]207.762[/C][C]0.892882[/C][C]1.09112[/C][/ROW]
[ROW][C]11[/C][C]203.28[/C][C]203.116[/C][C]207.56[/C][C]0.978589[/C][C]1.00081[/C][/ROW]
[ROW][C]12[/C][C]204.842[/C][C]211.851[/C][C]207.729[/C][C]1.01984[/C][C]0.966915[/C][/ROW]
[ROW][C]13[/C][C]207.273[/C][C]218.142[/C][C]208.373[/C][C]1.04689[/C][C]0.950173[/C][/ROW]
[ROW][C]14[/C][C]207.273[/C][C]210.852[/C][C]209.182[/C][C]1.00798[/C][C]0.983026[/C][/ROW]
[ROW][C]15[/C][C]205.711[/C][C]209.104[/C][C]210.025[/C][C]0.995612[/C][C]0.983775[/C][/ROW]
[ROW][C]16[/C][C]201.63[/C][C]212.906[/C][C]210.734[/C][C]1.01031[/C][C]0.947037[/C][/ROW]
[ROW][C]17[/C][C]222.706[/C][C]226.202[/C][C]211.24[/C][C]1.07083[/C][C]0.984543[/C][/ROW]
[ROW][C]18[/C][C]225.918[/C][C]223.437[/C][C]211.848[/C][C]1.0547[/C][C]1.01111[/C][/ROW]
[ROW][C]19[/C][C]221.067[/C][C]209.966[/C][C]212.422[/C][C]0.988435[/C][C]1.05287[/C][/ROW]
[ROW][C]20[/C][C]209.704[/C][C]200.434[/C][C]212.795[/C][C]0.941915[/C][C]1.04625[/C][/ROW]
[ROW][C]21[/C][C]214.566[/C][C]211.397[/C][C]213.098[/C][C]0.992016[/C][C]1.01499[/C][/ROW]
[ROW][C]22[/C][C]207.273[/C][C]190.571[/C][C]213.434[/C][C]0.892882[/C][C]1.08764[/C][/ROW]
[ROW][C]23[/C][C]210.562[/C][C]208.995[/C][C]213.568[/C][C]0.978589[/C][C]1.0075[/C][/ROW]
[ROW][C]24[/C][C]212.135[/C][C]217.908[/C][C]213.669[/C][C]1.01984[/C][C]0.973505[/C][/ROW]
[ROW][C]25[/C][C]213.774[/C][C]223.899[/C][C]213.872[/C][C]1.04689[/C][C]0.954777[/C][/ROW]
[ROW][C]26[/C][C]209.704[/C][C]215.885[/C][C]214.176[/C][C]1.00798[/C][C]0.971369[/C][/ROW]
[ROW][C]27[/C][C]210.562[/C][C]213.84[/C][C]214.783[/C][C]0.995612[/C][C]0.984669[/C][/ROW]
[ROW][C]28[/C][C]204.842[/C][C]217.679[/C][C]215.458[/C][C]1.01031[/C][C]0.941028[/C][/ROW]
[ROW][C]29[/C][C]222.706[/C][C]231.587[/C][C]216.268[/C][C]1.07083[/C][C]0.961653[/C][/ROW]
[ROW][C]30[/C][C]228.349[/C][C]229.132[/C][C]217.248[/C][C]1.0547[/C][C]0.996582[/C][/ROW]
[ROW][C]31[/C][C]223.498[/C][C]215.639[/C][C]218.162[/C][C]0.988435[/C][C]1.03645[/C][/ROW]
[ROW][C]32[/C][C]214.566[/C][C]206.191[/C][C]218.906[/C][C]0.941915[/C][C]1.04062[/C][/ROW]
[ROW][C]33[/C][C]224.279[/C][C]218.062[/C][C]219.817[/C][C]0.992016[/C][C]1.02851[/C][/ROW]
[ROW][C]34[/C][C]213.774[/C][C]197.597[/C][C]221.302[/C][C]0.892882[/C][C]1.08187[/C][/ROW]
[ROW][C]35[/C][C]223.498[/C][C]218.085[/C][C]222.856[/C][C]0.978589[/C][C]1.02482[/C][/ROW]
[ROW][C]36[/C][C]222.706[/C][C]228.344[/C][C]223.901[/C][C]1.01984[/C][C]0.97531[/C][/ROW]
[ROW][C]37[/C][C]225.137[/C][C]234.752[/C][C]224.238[/C][C]1.04689[/C][C]0.959044[/C][/ROW]
[ROW][C]38[/C][C]216.205[/C][C]226.129[/C][C]224.339[/C][C]1.00798[/C][C]0.956113[/C][/ROW]
[ROW][C]39[/C][C]225.918[/C][C]223.523[/C][C]224.508[/C][C]0.995612[/C][C]1.01072[/C][/ROW]
[ROW][C]40[/C][C]225.137[/C][C]226.891[/C][C]224.576[/C][C]1.01031[/C][C]0.992272[/C][/ROW]
[ROW][C]41[/C][C]239.712[/C][C]240.447[/C][C]224.543[/C][C]1.07083[/C][C]0.996942[/C][/ROW]
[ROW][C]42[/C][C]236.423[/C][C]236.861[/C][C]224.576[/C][C]1.0547[/C][C]0.998151[/C][/ROW]
[ROW][C]43[/C][C]223.498[/C][C]222.143[/C][C]224.742[/C][C]0.988435[/C][C]1.0061[/C][/ROW]
[ROW][C]44[/C][C]216.986[/C][C]211.944[/C][C]225.014[/C][C]0.941915[/C][C]1.02379[/C][/ROW]
[ROW][C]45[/C][C]225.918[/C][C]223.318[/C][C]225.115[/C][C]0.992016[/C][C]1.01164[/C][/ROW]
[ROW][C]46[/C][C]213.774[/C][C]200.999[/C][C]225.113[/C][C]0.892882[/C][C]1.06356[/C][/ROW]
[ROW][C]47[/C][C]222.706[/C][C]220.191[/C][C]225.009[/C][C]0.978589[/C][C]1.01142[/C][/ROW]
[ROW][C]48[/C][C]224.279[/C][C]228.957[/C][C]224.503[/C][C]1.01984[/C][C]0.979568[/C][/ROW]
[ROW][C]49[/C][C]227.568[/C][C]234.465[/C][C]223.964[/C][C]1.04689[/C][C]0.970586[/C][/ROW]
[ROW][C]50[/C][C]220.286[/C][C]225.175[/C][C]223.392[/C][C]1.00798[/C][C]0.978288[/C][/ROW]
[ROW][C]51[/C][C]224.279[/C][C]221.71[/C][C]222.687[/C][C]0.995612[/C][C]1.01159[/C][/ROW]
[ROW][C]52[/C][C]226.71[/C][C]223.689[/C][C]221.408[/C][C]1.01031[/C][C]1.0135[/C][/ROW]
[ROW][C]53[/C][C]235.642[/C][C]235.247[/C][C]219.687[/C][C]1.07083[/C][C]1.00168[/C][/ROW]
[ROW][C]54[/C][C]228.349[/C][C]230.317[/C][C]218.371[/C][C]1.0547[/C][C]0.991455[/C][/ROW]
[ROW][C]55[/C][C]218.636[/C][C]214.945[/C][C]217.46[/C][C]0.988435[/C][C]1.01717[/C][/ROW]
[ROW][C]56[/C][C]208.131[/C][C]204.001[/C][C]216.581[/C][C]0.941915[/C][C]1.02024[/C][/ROW]
[ROW][C]57[/C][C]217.855[/C][C]213.682[/C][C]215.402[/C][C]0.992016[/C][C]1.01953[/C][/ROW]
[ROW][C]58[/C][C]191.125[/C][C]191.037[/C][C]213.955[/C][C]0.892882[/C][C]1.00046[/C][/ROW]
[ROW][C]59[/C][C]204.061[/C][C]207.725[/C][C]212.27[/C][C]0.978589[/C][C]0.982362[/C][/ROW]
[ROW][C]60[/C][C]211.343[/C][C]214.59[/C][C]210.415[/C][C]1.01984[/C][C]0.984868[/C][/ROW]
[ROW][C]61[/C][C]218.636[/C][C]218.268[/C][C]208.493[/C][C]1.04689[/C][C]1.00169[/C][/ROW]
[ROW][C]62[/C][C]208.131[/C][C]208.251[/C][C]206.602[/C][C]1.00798[/C][C]0.999422[/C][/ROW]
[ROW][C]63[/C][C]208.131[/C][C]203.746[/C][C]204.644[/C][C]0.995612[/C][C]1.02152[/C][/ROW]
[ROW][C]64[/C][C]208.131[/C][C]204.704[/C][C]202.616[/C][C]1.01031[/C][C]1.01674[/C][/ROW]
[ROW][C]65[/C][C]213.774[/C][C]214.978[/C][C]200.758[/C][C]1.07083[/C][C]0.9944[/C][/ROW]
[ROW][C]66[/C][C]205.711[/C][C]209.961[/C][C]199.071[/C][C]1.0547[/C][C]0.979759[/C][/ROW]
[ROW][C]67[/C][C]195.129[/C][C]194.936[/C][C]197.216[/C][C]0.988435[/C][C]1.00099[/C][/ROW]
[ROW][C]68[/C][C]186.274[/C][C]183.854[/C][C]195.192[/C][C]0.941915[/C][C]1.01316[/C][/ROW]
[ROW][C]69[/C][C]192.698[/C][C]191.722[/C][C]193.265[/C][C]0.992016[/C][C]1.00509[/C][/ROW]
[ROW][C]70[/C][C]167.618[/C][C]170.782[/C][C]191.271[/C][C]0.892882[/C][C]0.981472[/C][/ROW]
[ROW][C]71[/C][C]182.985[/C][C]185.227[/C][C]189.279[/C][C]0.978589[/C][C]0.987898[/C][/ROW]
[ROW][C]72[/C][C]191.917[/C][C]191.209[/C][C]187.49[/C][C]1.01984[/C][C]1.0037[/C][/ROW]
[ROW][C]73[/C][C]193.556[/C][C]194.479[/C][C]185.768[/C][C]1.04689[/C][C]0.995256[/C][/ROW]
[ROW][C]74[/C][C]184.624[/C][C]185.517[/C][C]184.048[/C][C]1.00798[/C][C]0.995187[/C][/ROW]
[ROW][C]75[/C][C]185.405[/C][C]181.862[/C][C]182.663[/C][C]0.995612[/C][C]1.01948[/C][/ROW]
[ROW][C]76[/C][C]182.985[/C][C]183.252[/C][C]181.383[/C][C]1.01031[/C][C]0.99854[/C][/ROW]
[ROW][C]77[/C][C]191.125[/C][C]192.825[/C][C]180.07[/C][C]1.07083[/C][C]0.991184[/C][/ROW]
[ROW][C]78[/C][C]185.405[/C][C]188.712[/C][C]178.924[/C][C]1.0547[/C][C]0.982475[/C][/ROW]
[ROW][C]79[/C][C]174.13[/C][C]175.651[/C][C]177.706[/C][C]0.988435[/C][C]0.991339[/C][/ROW]
[ROW][C]80[/C][C]165.979[/C][C]166.111[/C][C]176.355[/C][C]0.941915[/C][C]0.999205[/C][/ROW]
[ROW][C]81[/C][C]179.762[/C][C]173.107[/C][C]174.5[/C][C]0.992016[/C][C]1.03844[/C][/ROW]
[ROW][C]82[/C][C]149.831[/C][C]153.823[/C][C]172.277[/C][C]0.892882[/C][C]0.974048[/C][/ROW]
[ROW][C]83[/C][C]169.268[/C][C]166.509[/C][C]170.152[/C][C]0.978589[/C][C]1.01657[/C][/ROW]
[ROW][C]84[/C][C]178.123[/C][C]171.291[/C][C]167.958[/C][C]1.01984[/C][C]1.03989[/C][/ROW]
[ROW][C]85[/C][C]178.123[/C][C]173.256[/C][C]165.496[/C][C]1.04689[/C][C]1.02809[/C][/ROW]
[ROW][C]86[/C][C]167.618[/C][C]164.062[/C][C]162.763[/C][C]1.00798[/C][C]1.02167[/C][/ROW]
[ROW][C]87[/C][C]157.905[/C][C]159.127[/C][C]159.828[/C][C]0.995612[/C][C]0.992321[/C][/ROW]
[ROW][C]88[/C][C]157.124[/C][C]158.543[/C][C]156.926[/C][C]1.01031[/C][C]0.991048[/C][/ROW]
[ROW][C]89[/C][C]165.979[/C][C]165.293[/C][C]154.36[/C][C]1.07083[/C][C]1.00415[/C][/ROW]
[ROW][C]90[/C][C]157.905[/C][C]160.489[/C][C]152.165[/C][C]1.0547[/C][C]0.983897[/C][/ROW]
[ROW][C]91[/C][C]142.549[/C][C]148.572[/C][C]150.31[/C][C]0.988435[/C][C]0.95946[/C][/ROW]
[ROW][C]92[/C][C]131.967[/C][C]140.054[/C][C]148.691[/C][C]0.941915[/C][C]0.942256[/C][/ROW]
[ROW][C]93[/C][C]143.33[/C][C]145.898[/C][C]147.072[/C][C]0.992016[/C][C]0.982401[/C][/ROW]
[ROW][C]94[/C][C]116.611[/C][C]130.143[/C][C]145.756[/C][C]0.892882[/C][C]0.896023[/C][/ROW]
[ROW][C]95[/C][C]140.899[/C][C]141.479[/C][C]144.574[/C][C]0.978589[/C][C]0.995904[/C][/ROW]
[ROW][C]96[/C][C]153.824[/C][C]146.237[/C][C]143.392[/C][C]1.01984[/C][C]1.05188[/C][/ROW]
[ROW][C]97[/C][C]157.905[/C][C]148.734[/C][C]142.072[/C][C]1.04689[/C][C]1.06166[/C][/ROW]
[ROW][C]98[/C][C]148.973[/C][C]141.471[/C][C]140.351[/C][C]1.00798[/C][C]1.05303[/C][/ROW]
[ROW][C]99[/C][C]137.687[/C][C]137.856[/C][C]138.464[/C][C]0.995612[/C][C]0.998772[/C][/ROW]
[ROW][C]100[/C][C]145.761[/C][C]137.947[/C][C]136.54[/C][C]1.01031[/C][C]1.05664[/C][/ROW]
[ROW][C]101[/C][C]148.973[/C][C]144.295[/C][C]134.751[/C][C]1.07083[/C][C]1.03242[/C][/ROW]
[ROW][C]102[/C][C]146.542[/C][C]140.095[/C][C]132.828[/C][C]1.0547[/C][C]1.04602[/C][/ROW]
[ROW][C]103[/C][C]122.243[/C][C]129.359[/C][C]130.872[/C][C]0.988435[/C][C]0.94499[/C][/ROW]
[ROW][C]104[/C][C]110.968[/C][C]121.428[/C][C]128.916[/C][C]0.941915[/C][C]0.913857[/C][/ROW]
[ROW][C]105[/C][C]119.031[/C][C]125.811[/C][C]126.823[/C][C]0.992016[/C][C]0.946113[/C][/ROW]
[ROW][C]106[/C][C]94.743[/C][C]111.308[/C][C]124.661[/C][C]0.892882[/C][C]0.851181[/C][/ROW]
[ROW][C]107[/C][C]119.823[/C][C]119.812[/C][C]122.434[/C][C]0.978589[/C][C]1.00009[/C][/ROW]
[ROW][C]108[/C][C]128.755[/C][C]122.422[/C][C]120.04[/C][C]1.01984[/C][C]1.05174[/C][/ROW]
[ROW][C]109[/C][C]136.037[/C][C]122.988[/C][C]117.48[/C][C]1.04689[/C][C]1.1061[/C][/ROW]
[ROW][C]110[/C][C]123.893[/C][C]115.867[/C][C]114.95[/C][C]1.00798[/C][C]1.06927[/C][/ROW]
[ROW][C]111[/C][C]112.53[/C][C]112.023[/C][C]112.517[/C][C]0.995612[/C][C]1.00453[/C][/ROW]
[ROW][C]112[/C][C]119.031[/C][C]111.186[/C][C]110.051[/C][C]1.01031[/C][C]1.07056[/C][/ROW]
[ROW][C]113[/C][C]122.243[/C][C]115.279[/C][C]107.654[/C][C]1.07083[/C][C]1.06041[/C][/ROW]
[ROW][C]114[/C][C]115.819[/C][C]111.587[/C][C]105.799[/C][C]1.0547[/C][C]1.03792[/C][/ROW]
[ROW][C]115[/C][C]91.531[/C][C]NA[/C][C]NA[/C][C]0.988435[/C][C]NA[/C][/ROW]
[ROW][C]116[/C][C]80.949[/C][C]NA[/C][C]NA[/C][C]0.941915[/C][C]NA[/C][/ROW]
[ROW][C]117[/C][C]90.662[/C][C]NA[/C][C]NA[/C][C]0.992016[/C][C]NA[/C][/ROW]
[ROW][C]118[/C][C]63.943[/C][C]NA[/C][C]NA[/C][C]0.892882[/C][C]NA[/C][/ROW]
[ROW][C]119[/C][C]93.093[/C][C]NA[/C][C]NA[/C][C]0.978589[/C][C]NA[/C][/ROW]
[ROW][C]120[/C][C]110.968[/C][C]NA[/C][C]NA[/C][C]1.01984[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=279605&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=279605&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
1209.704NANA1.04689NA
2208.923NANA1.00798NA
3208.131NANA0.995612NA
4206.492NANA1.01031NA
5222.706NANA1.07083NA
6221.848NANA1.0547NA
7209.704205.995208.4060.9884351.018
8201.63196.14208.2350.9419151.02799
9202.411206.405208.0660.9920160.980651
10202.411185.507207.7620.8928821.09112
11203.28203.116207.560.9785891.00081
12204.842211.851207.7291.019840.966915
13207.273218.142208.3731.046890.950173
14207.273210.852209.1821.007980.983026
15205.711209.104210.0250.9956120.983775
16201.63212.906210.7341.010310.947037
17222.706226.202211.241.070830.984543
18225.918223.437211.8481.05471.01111
19221.067209.966212.4220.9884351.05287
20209.704200.434212.7950.9419151.04625
21214.566211.397213.0980.9920161.01499
22207.273190.571213.4340.8928821.08764
23210.562208.995213.5680.9785891.0075
24212.135217.908213.6691.019840.973505
25213.774223.899213.8721.046890.954777
26209.704215.885214.1761.007980.971369
27210.562213.84214.7830.9956120.984669
28204.842217.679215.4581.010310.941028
29222.706231.587216.2681.070830.961653
30228.349229.132217.2481.05470.996582
31223.498215.639218.1620.9884351.03645
32214.566206.191218.9060.9419151.04062
33224.279218.062219.8170.9920161.02851
34213.774197.597221.3020.8928821.08187
35223.498218.085222.8560.9785891.02482
36222.706228.344223.9011.019840.97531
37225.137234.752224.2381.046890.959044
38216.205226.129224.3391.007980.956113
39225.918223.523224.5080.9956121.01072
40225.137226.891224.5761.010310.992272
41239.712240.447224.5431.070830.996942
42236.423236.861224.5761.05470.998151
43223.498222.143224.7420.9884351.0061
44216.986211.944225.0140.9419151.02379
45225.918223.318225.1150.9920161.01164
46213.774200.999225.1130.8928821.06356
47222.706220.191225.0090.9785891.01142
48224.279228.957224.5031.019840.979568
49227.568234.465223.9641.046890.970586
50220.286225.175223.3921.007980.978288
51224.279221.71222.6870.9956121.01159
52226.71223.689221.4081.010311.0135
53235.642235.247219.6871.070831.00168
54228.349230.317218.3711.05470.991455
55218.636214.945217.460.9884351.01717
56208.131204.001216.5810.9419151.02024
57217.855213.682215.4020.9920161.01953
58191.125191.037213.9550.8928821.00046
59204.061207.725212.270.9785890.982362
60211.343214.59210.4151.019840.984868
61218.636218.268208.4931.046891.00169
62208.131208.251206.6021.007980.999422
63208.131203.746204.6440.9956121.02152
64208.131204.704202.6161.010311.01674
65213.774214.978200.7581.070830.9944
66205.711209.961199.0711.05470.979759
67195.129194.936197.2160.9884351.00099
68186.274183.854195.1920.9419151.01316
69192.698191.722193.2650.9920161.00509
70167.618170.782191.2710.8928820.981472
71182.985185.227189.2790.9785890.987898
72191.917191.209187.491.019841.0037
73193.556194.479185.7681.046890.995256
74184.624185.517184.0481.007980.995187
75185.405181.862182.6630.9956121.01948
76182.985183.252181.3831.010310.99854
77191.125192.825180.071.070830.991184
78185.405188.712178.9241.05470.982475
79174.13175.651177.7060.9884350.991339
80165.979166.111176.3550.9419150.999205
81179.762173.107174.50.9920161.03844
82149.831153.823172.2770.8928820.974048
83169.268166.509170.1520.9785891.01657
84178.123171.291167.9581.019841.03989
85178.123173.256165.4961.046891.02809
86167.618164.062162.7631.007981.02167
87157.905159.127159.8280.9956120.992321
88157.124158.543156.9261.010310.991048
89165.979165.293154.361.070831.00415
90157.905160.489152.1651.05470.983897
91142.549148.572150.310.9884350.95946
92131.967140.054148.6910.9419150.942256
93143.33145.898147.0720.9920160.982401
94116.611130.143145.7560.8928820.896023
95140.899141.479144.5740.9785890.995904
96153.824146.237143.3921.019841.05188
97157.905148.734142.0721.046891.06166
98148.973141.471140.3511.007981.05303
99137.687137.856138.4640.9956120.998772
100145.761137.947136.541.010311.05664
101148.973144.295134.7511.070831.03242
102146.542140.095132.8281.05471.04602
103122.243129.359130.8720.9884350.94499
104110.968121.428128.9160.9419150.913857
105119.031125.811126.8230.9920160.946113
10694.743111.308124.6610.8928820.851181
107119.823119.812122.4340.9785891.00009
108128.755122.422120.041.019841.05174
109136.037122.988117.481.046891.1061
110123.893115.867114.951.007981.06927
111112.53112.023112.5170.9956121.00453
112119.031111.186110.0511.010311.07056
113122.243115.279107.6541.070831.06041
114115.819111.587105.7991.05471.03792
11591.531NANA0.988435NA
11680.949NANA0.941915NA
11790.662NANA0.992016NA
11863.943NANA0.892882NA
11993.093NANA0.978589NA
120110.968NANA1.01984NA



Parameters (Session):
par1 = multiplicative ; par2 = 12 ;
Parameters (R input):
par1 = multiplicative ; par2 = 12 ;
R code (references can be found in the software module):
par2 <- '12'
par1 <- 'additive'
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')