| | | *The author of this computation has been verified* | | R Software Module: /rwasp_decompose.wasp (opens new window with default values) | | Title produced by software: Classical Decomposition | | Date of computation: Wed, 08 Dec 2010 16:48:06 +0000 | | | | Cite this page as follows: | | Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2010/Dec/08/t1291826782zw6sb7d4y1eqqdx.htm/, Retrieved Wed, 08 Dec 2010 17:46:29 +0100 | | | | BibTeX entries for LaTeX users: | @Manual{KEY,
author = {{YOUR NAME}},
publisher = {Office for Research Development and Education},
title = {Statistical Computations at FreeStatistics.org, URL http://www.freestatistics.org/blog/date/2010/Dec/08/t1291826782zw6sb7d4y1eqqdx.htm/},
year = {2010},
}
@Manual{R,
title = {R: A Language and Environment for Statistical Computing},
author = {{R Development Core Team}},
organization = {R Foundation for Statistical Computing},
address = {Vienna, Austria},
year = {2010},
note = {{ISBN} 3-900051-07-0},
url = {http://www.R-project.org},
}
| | | | Original text written by user: | | | | | IsPrivate? | | No (this computation is public) | | | | User-defined keywords: | | | | | Dataseries X: | | » Textbox « » Textfile « » CSV « | | 280.7
264.6
240.7
201.4
240.8
241.1
223.8
206.1
174.7
203.3
220.5
299.5
347.4
338.3
327.7
351.6
396.6
438.8
395.6
363.5
378.8
0.357
0.369
464.8
479.1
431.3
366.5
326.3
355.1
331.6
261.3
0.249
205.5
235.6
240.9
264.9
253.8
232.3
193.8
0.177
213.2
207.2
180.6
188.6
175.4
0.199
179.6
225.8
0.234
200.2
183.6
178.2
203.2
208.5
191.8
172.8
0.148
159.4
154.5
213.2
196.4
182.8
176.4
153.6
173.2
0.171
151.2
161.9
157.2
201.7
236.4
356.1
398.3
403.7
384.6
365.8
368.1
367.9
0.347
343.3
292.9
311.5
300.9
366.9
356.9
329.7
316.2
0.269
289.3
266.2
253.6
233.8
228.4
253.6
260.1
306.6
309.2
309.5
0.271
279.9
317.9
298.4
246.7
227.3
209.1
259.9
0.266
320.6
308.5
282.2
262.7
263.5
313.1
284.3
252.6
250.3
246.5
312.7
333.2
446.4
511.6
515.5
506.4
483.2
522.3
509.8
460.7
405.8
0.375
378.5
406.8
467.8
469.8
429.8
355.8
332.7
0.378
360.5
334.7
319.5
323.1
363.6
352.1
411.9
388.6
416.4
36 etc... | | | | Output produced by software: |
| Classical Decomposition by Moving Averages | | t | Observations | Fit | Trend | Seasonal | Random | | 1 | 280.7 | NA | NA | 61.3300828544061 | NA | | 2 | 264.6 | NA | NA | 69.9439276819923 | NA | | 3 | 240.7 | NA | NA | -28.4960378352490 | NA | | 4 | 201.4 | NA | NA | -15.0792619731801 | NA | | 5 | 240.8 | NA | NA | 30.7890886015326 | NA | | 6 | 241.1 | NA | NA | -30.3986470306514 | NA | | 7 | 223.8 | 220.179916187739 | 235.879166666667 | -15.6992504789272 | 3.62008381226053 | | 8 | 206.1 | 222.370462164751 | 241.729166666667 | -19.3587045019157 | -16.270462164751 | | 9 | 174.7 | 183.629611590038 | 248.425 | -64.7953884099617 | -8.92961159003835 | | 10 | 203.3 | 254.010588601533 | 258.308333333333 | -4.29774473180077 | -50.7105886015325 | | 11 | 220.5 | 216.494042624521 | 271.058333333333 | -54.5642907088123 | 4.00595737547894 | | 12 | 299.5 | 356.413726532567 | 285.7875 | 70.626226532567 | -56.913726532567 | | 13 | 347.4 | 362.513416187739 | 301.183333333333 | 61.3300828544061 | -15.1134161877395 | | 14 | 338.3 | 384.843927681992 | 314.9 | 69.9439276819923 | -46.5439276819923 | | 15 | 327.7 | 301.466462164751 | 329.9625 | -28.4960378352490 | 26.2335378352491 | | 16 | 351.6 | 314.931446360153 | 330.010708333333 | -15.0792619731801 | 36.6685536398468 | | 17 | 396.6 | 343.171713601533 | 312.382625 | 30.7890886015326 | 53.4282863984675 | | 18 | 438.8 | 279.699352969349 | 310.098 | -30.3986470306514 | 159.100647030651 | | 19 | 395.6 | 306.773749521073 | 322.473 | -15.6992504789272 | 88.8262504789272 | | 20 | 363.5 | 312.476795498084 | 331.8355 | -19.3587045019157 | 51.0232045019157 | | 21 | 378.8 | 272.531778256705 | 337.327166666667 | -64.7953884099617 | 106.268221743295 | | 22 | 0.357 | 333.591921934866 | 337.889666666667 | -4.29774473180077 | -333.234921934866 | | 23 | 0.369 | 280.542042624521 | 335.106333333333 | -54.5642907088123 | -280.173042624521 | | 24 | 464.8 | 399.536726532567 | 328.9105 | 70.626226532567 | 65.263273467433 | | 25 | 479.1 | 380.178082854406 | 318.848 | 61.3300828544061 | 98.9219171455938 | | 26 | 431.3 | 368.060636015326 | 298.116708333333 | 69.9439276819923 | 63.2393639846744 | | 27 | 366.5 | 247.264378831418 | 275.760416666667 | -28.4960378352490 | 119.235621168582 | | 28 | 326.3 | 263.26211302682 | 278.341375 | -15.0792619731801 | 63.0378869731801 | | 29 | 355.1 | 328.954380268199 | 298.165291666667 | 30.7890886015326 | 26.1456197318008 | | 30 | 331.6 | 269.459602969349 | 299.85825 | -30.3986470306514 | 62.1403970306514 | | 31 | 261.3 | 266.442332854406 | 282.141583333333 | -15.6992504789272 | -5.14233285440611 | | 32 | 0.249 | 245.103712164751 | 264.462416666667 | -19.3587045019157 | -244.854712164751 | | 33 | 205.5 | 184.179528256705 | 248.974916666667 | -64.7953884099617 | 21.320471743295 | | 34 | 235.6 | 223.892880268199 | 228.190625 | -4.29774473180077 | 11.7071197318008 | | 35 | 240.9 | 154.125375957854 | 208.689666666667 | -54.5642907088123 | 86.7746240421456 | | 36 | 264.9 | 268.220059865900 | 197.593833333333 | 70.626226532567 | -3.32005986590039 | | 37 | 253.8 | 250.378082854406 | 189.048 | 61.3300828544061 | 3.42191714559394 | | 38 | 232.3 | 263.477386015326 | 193.533458333333 | 69.9439276819923 | -31.1773860153256 | | 39 | 193.8 | 171.631212164751 | 200.12725 | -28.4960378352490 | 22.1687878352491 | | 40 | 0.177 | 173.985446360153 | 189.064708333333 | -15.0792619731801 | -173.808446360153 | | 41 | 213.2 | 207.491255268199 | 176.702166666667 | 30.7890886015326 | 5.70874473180078 | | 42 | 207.2 | 142.120186302682 | 172.518833333333 | -30.3986470306514 | 65.079813697318 | | 43 | 180.6 | 144.625166187739 | 160.324416666667 | -15.6992504789272 | 35.9748338122605 | | 44 | 188.6 | 129.062962164751 | 148.421666666667 | -19.3587045019157 | 59.537037835249 | | 45 | 175.4 | 81.863778256705 | 146.659166666667 | -64.7953884099617 | 93.536221743295 | | 46 | 0.199 | 149.354046934866 | 153.651791666667 | -4.29774473180077 | -149.155046934866 | | 47 | 179.6 | 106.088459291188 | 160.65275 | -54.5642907088123 | 73.5115407088123 | | 48 | 225.8 | 230.916476532567 | 160.29025 | 70.626226532567 | -5.11647653256702 | | 49 | 0.234 | 222.141166187739 | 160.811083333333 | 61.3300828544061 | -221.907166187739 | | 50 | 200.2 | 230.563344348659 | 160.619416666667 | 69.9439276819923 | -30.363344348659 | | 51 | 183.6 | 124.162878831418 | 152.658916666667 | -28.4960378352490 | 59.4371211685824 | | 52 | 178.2 | 136.91086302682 | 151.990125 | -15.0792619731801 | 41.2891369731801 | | 53 | 203.2 | 188.366755268199 | 157.577666666667 | 30.7890886015326 | 14.8332447318008 | | 54 | 208.5 | 125.608186302682 | 156.006833333333 | -30.3986470306514 | 82.891813697318 | | 55 | 191.8 | 147.956166187739 | 163.655416666667 | -15.6992504789272 | 43.8438338122605 | | 56 | 172.8 | 151.745295498084 | 171.104 | -19.3587045019157 | 21.0547045019157 | | 57 | 0.148 | 105.283611590038 | 170.079 | -64.7953884099617 | -105.135611590038 | | 58 | 159.4 | 164.456255268199 | 168.754 | -4.29774473180077 | -5.05625526819924 | | 59 | 154.5 | 111.914709291188 | 166.479 | -54.5642907088123 | 42.5852907088122 | | 60 | 213.2 | 227.174851532567 | 156.548625 | 70.626226532567 | -13.9748515325671 | | 61 | 196.4 | 207.506666187739 | 146.176583333333 | 61.3300828544061 | -11.1066661877394 | | 62 | 182.8 | 213.974677681992 | 144.03075 | 69.9439276819923 | -31.1746776819923 | | 63 | 176.4 | 121.624378831418 | 150.120416666667 | -28.4960378352490 | 54.7756211685824 | | 64 | 153.6 | 143.34748802682 | 158.42675 | -15.0792619731801 | 10.2525119731801 | | 65 | 173.2 | 194.390838601533 | 163.60175 | 30.7890886015326 | -21.1908386015326 | | 66 | 0.171 | 142.569769636015 | 172.968416666667 | -30.3986470306514 | -142.398769636015 | | 67 | 151.2 | 171.635832854406 | 187.335083333333 | -15.6992504789272 | -20.4358328544062 | | 68 | 161.9 | 185.593045498084 | 204.95175 | -19.3587045019157 | -23.6930454980843 | | 69 | 157.2 | 158.035528256705 | 222.830916666667 | -64.7953884099617 | -0.835528256705004 | | 70 | 201.7 | 236.049838601533 | 240.347583333333 | -4.29774473180077 | -34.3498386015326 | | 71 | 236.4 | 202.745792624521 | 257.310083333333 | -54.5642907088123 | 33.6542073754790 | | 72 | 356.1 | 351.3791848659 | 280.752958333333 | 70.626226532567 | 4.72081513409967 | | 73 | 398.3 | 351.119541187740 | 289.789458333333 | 61.3300828544061 | 47.1804588122605 | | 74 | 403.7 | 361.006177681992 | 291.06225 | 69.9439276819923 | 42.6938223180077 | | 75 | 384.6 | 275.778712164751 | 304.27475 | -28.4960378352490 | 108.821287835249 | | 76 | 365.8 | 299.424654693487 | 314.503916666667 | -15.0792619731801 | 66.3753453065135 | | 77 | 368.1 | 352.555505268199 | 321.766416666667 | 30.7890886015326 | 15.5444947318008 | | 78 | 367.9 | 294.505269636015 | 324.903916666667 | -30.3986470306514 | 73.3947303639847 | | 79 | 0.347 | 307.929666187739 | 323.628916666667 | -15.6992504789272 | -307.582666187740 | | 80 | 343.3 | 299.461878831418 | 318.820583333333 | -19.3587045019157 | 43.8381211685823 | | 81 | 292.9 | 248.091861590038 | 312.88725 | -64.7953884099617 | 44.8081384099617 | | 82 | 311.5 | 290.509046934866 | 294.806791666667 | -4.29774473180077 | 20.9909530651341 | | 83 | 300.9 | 221.728709291188 | 276.293 | -54.5642907088123 | 79.1712907088123 | | 84 | 366.9 | 339.398393199234 | 268.772166666667 | 70.626226532567 | 27.5016068007662 | | 85 | 356.9 | 336.416957854406 | 275.086875 | 61.3300828544061 | 20.4830421455939 | | 86 | 329.7 | 351.020511015326 | 281.076583333333 | 69.9439276819923 | -21.3205110153257 | | 87 | 316.2 | 245.330545498084 | 273.826583333333 | -28.4960378352490 | 70.8694545019158 | | 88 | 0.269 | 253.647321360153 | 268.726583333333 | -15.0792619731801 | -253.378321360153 | | 89 | 289.3 | 295.403171934866 | 264.614083333333 | 30.7890886015326 | -6.10317193486588 | | 90 | 266.2 | 230.002936302682 | 260.401583333333 | -30.3986470306514 | 36.197063697318 | | 91 | 253.6 | 240.202332854406 | 255.901583333333 | -15.6992504789272 | 13.3976671455939 | | 92 | 233.8 | 233.713712164751 | 253.072416666667 | -19.3587045019157 | 0.0862878352490668 | | 93 | 228.4 | 174.271653256705 | 239.067041666667 | -64.7953884099617 | 54.1283467432951 | | 94 | 253.6 | 233.256880268199 | 237.554625 | -4.29774473180077 | 20.3431197318008 | | 95 | 260.1 | 195.833292624521 | 250.397583333333 | -54.5642907088123 | 64.266707375479 | | 96 | 306.6 | 323.557143199234 | 252.930916666667 | 70.626226532567 | -16.9571431992337 | | 97 | 309.2 | 315.315166187739 | 253.985083333333 | 61.3300828544061 | -6.11516618773945 | | 98 | 309.5 | 323.370677681992 | 253.42675 | 69.9439276819923 | -13.8706776819923 | | 99 | 0.271 | 223.855712164751 | 252.35175 | -28.4960378352490 | -223.584712164751 | | 100 | 279.9 | 236.730821360153 | 251.810083333333 | -15.0792619731801 | 43.1691786398468 | | 101 | 317.9 | 272.035255268199 | 241.246166666667 | 30.7890886015326 | 45.8647447318008 | | 102 | 298.4 | 200.604436302682 | 231.003083333333 | -30.3986470306514 | 97.795563697318 | | 103 | 246.7 | 215.857999521073 | 231.55725 | -15.6992504789272 | 30.8420004789272 | | 104 | 227.3 | 211.031878831418 | 230.390583333333 | -19.3587045019157 | 16.2681211685824 | | 105 | 209.1 | 175.392236590038 | 240.187625 | -64.7953884099617 | 33.7077634099617 | | 106 | 259.9 | 246.141088601533 | 250.438833333333 | -4.29774473180077 | 13.7589113984674 | | 107 | 0.266 | 194.991209291188 | 249.5555 | -54.5642907088123 | -194.725209291188 | | 108 | 320.6 | 319.394226532567 | 248.768 | 70.626226532567 | 1.20577346743300 | | 109 | 308.5 | 309.756416187739 | 248.426333333333 | 61.3300828544061 | -1.25641618773943 | | 110 | 282.2 | 319.574427681992 | 249.6305 | 69.9439276819923 | -37.3744276819924 | | 111 | 262.7 | 223.651128831418 | 252.147166666667 | -28.4960378352490 | 39.0488711685824 | | 112 | 263.5 | 240.82623802682 | 255.9055 | -15.0792619731801 | 22.6737619731801 | | 113 | 313.1 | 302.766838601533 | 271.97775 | 30.7890886015326 | 10.3331613984674 | | 114 | 284.3 | 260.693019636015 | 291.091666666667 | -30.3986470306514 | 23.6069803639847 | | 115 | 252.6 | 289.096582854406 | 304.795833333333 | -15.6992504789272 | -36.4965828544061 | | 116 | 250.3 | 303.620462164751 | 322.979166666667 | -19.3587045019157 | -53.3204621647508 | | 117 | 246.5 | 278.058778256705 | 342.854166666667 | -64.7953884099617 | -31.5587782567049 | | 118 | 312.7 | 357.864755268199 | 362.1625 | -4.29774473180077 | -45.1647552681993 | | 119 | 333.2 | 325.469042624521 | 380.033333333333 | -54.5642907088123 | 7.73095737547891 | | 120 | 446.4 | 468.7720598659 | 398.145833333333 | 70.626226532567 | -22.3720598659004 | | 121 | 511.6 | 477.542582854406 | 416.2125 | 61.3300828544061 | 34.0574171455939 | | 122 | 515.5 | 501.306427681992 | 431.3625 | 69.9439276819923 | 14.1935723180077 | | 123 | 506.4 | 399.090420498084 | 427.586458333333 | -28.4960378352490 | 107.309579501916 | | 124 | 483.2 | 404.993654693486 | 420.072916666667 | -15.0792619731801 | 78.2063453065136 | | 125 | 522.3 | 456.670338601532 | 425.88125 | 30.7890886015326 | 65.6296613984675 | | 126 | 509.8 | 399.440936302682 | 429.839583333333 | -30.3986470306514 | 110.359063697318 | | 127 | 460.7 | 413.290332854406 | 428.989583333333 | -15.6992504789272 | 47.4096671455939 | | 128 | 405.8 | 404.318378831418 | 423.677083333333 | -19.3587045019157 | 1.48162116858242 | | 129 | 0.375 | 349.035861590038 | 413.83125 | -64.7953884099617 | -348.660861590038 | | 130 | 378.5 | 396.987671934866 | 401.285416666667 | -4.29774473180077 | -18.4876719348658 | | 131 | 406.8 | 318.703542624521 | 373.267833333333 | -54.5642907088123 | 88.096457375479 | | 132 | 467.8 | 415.926476532567 | 345.30025 | 70.626226532567 | 51.873523467433 | | 133 | 469.8 | 395.159499521073 | 333.829416666667 | 61.3300828544061 | 74.6405004789272 | | 134 | 429.8 | 394.927511015326 | 324.983583333333 | 69.9439276819923 | 34.8724889846744 | | 135 | 355.8 | 306.338587164751 | 334.834625 | -28.4960378352490 | 49.4614128352491 | | 136 | 332.7 | 332.581404693486 | 347.660666666667 | -15.0792619731801 | 0.118595306513498 | | 137 | 0.378 | 375.549755268199 | 344.760666666667 | 30.7890886015326 | -375.171755268199 | | 138 | 360.5 | 309.753686302682 | 340.152333333333 | -30.3986470306514 | 50.746313697318 | | 139 | 334.7 | 318.740582854406 | 334.439833333333 | -15.6992504789272 | 15.9594171455939 | | 140 | 319.5 | 311.139462164751 | 330.498166666667 | -19.3587045019157 | 8.36053783524909 | | 141 | 323.1 | 265.348611590038 | 330.144 | -64.7953884099617 | 57.7513884099617 | | 142 | 363.6 | 312.202005268199 | 316.49975 | -4.29774473180077 | 51.3979947318008 | | 143 | 352.1 | 265.454625957854 | 320.018916666667 | -54.5642907088123 | 86.6453740421456 | | 144 | 411.9 | 409.175226532567 | 338.549 | 70.626226532567 | 2.72477346743301 | | 145 | 388.6 | 402.558249521073 | 341.228166666667 | 61.3300828544061 | -13.9582495210728 | | 146 | 416.4 | 413.188761015326 | 343.244833333333 | 69.9439276819923 | 3.21123898467431 | | 147 | 360.7 | 316.523795498084 | 345.019833333333 | -28.4960378352490 | 44.1762045019157 | | 148 | 0.338 | 332.59473802682 | 347.674 | -15.0792619731801 | -332.25673802682 | | 149 | 417.2 | 365.190046934866 | 334.400958333333 | 30.7890886015326 | 52.0099530651341 | | 150 | 388.4 | 294.416769636015 | 324.815416666667 | -30.3986470306514 | 93.9832303639847 | | 151 | 371.1 | 321.549499521073 | 337.24875 | -15.6992504789272 | 49.5505004789272 | | 152 | 331.5 | 330.502545498084 | 349.86125 | -19.3587045019157 | 0.99745450191574 | | 153 | 353.7 | 295.645028256705 | 360.440416666667 | -64.7953884099617 | 58.054971743295 | | 154 | 396.7 | 380.924421934866 | 385.222166666667 | -4.29774473180077 | 15.7755780651341 | | 155 | 0.447 | 354.860459291188 | 409.42475 | -54.5642907088123 | -354.413459291188 | | 156 | 533.5 | 489.292643199234 | 418.666416666667 | 70.626226532567 | 44.2073568007663 | | 157 | 565.4 | 469.039999521073 | 407.709916666667 | 61.3300828544061 | 96.3600004789272 | | 158 | 542.3 | 465.205677681992 | 395.26175 | 69.9439276819923 | 77.0943223180076 | | 159 | 488.7 | 371.119878831418 | 399.615916666667 | -28.4960378352490 | 117.580121168582 | | 160 | 467.1 | 385.786654693487 | 400.865916666667 | -15.0792619731801 | 81.3133453065135 | | 161 | 531.3 | 448.365546934866 | 417.576458333333 | 30.7890886015326 | 82.9344530651341 | | 162 | 496.1 | 401.021686302682 | 431.420333333333 | -30.3986470306514 | 95.078313697318 | | 163 | 0.444 | 407.858582854406 | 423.557833333333 | -15.6992504789272 | -407.414582854406 | | 164 | 403.4 | 394.728295498084 | 414.087 | -19.3587045019157 | 8.67170450191571 | | 165 | 386.3 | 340.441611590038 | 405.237 | -64.7953884099617 | 45.8583884099617 | | 166 | 394.1 | 393.676755268199 | 397.9745 | -4.29774473180077 | 0.423244731800878 | | 167 | 404.1 | 335.856042624521 | 390.420333333333 | -54.5642907088123 | 68.243957375479 | | 168 | 462.1 | 451.7715598659 | 381.145333333333 | 70.626226532567 | 10.3284401340997 | | 169 | 448.1 | 453.748582854406 | 392.4185 | 61.3300828544061 | -5.64858285440619 | | 170 | 432.3 | 475.939761015326 | 405.995833333333 | 69.9439276819923 | -43.6397610153257 | | 171 | 386.3 | 372.466462164751 | 400.9625 | -28.4960378352490 | 13.8335378352491 | | 172 | 395.2 | 382.366571360153 | 397.445833333333 | -15.0792619731801 | 12.8334286398467 | | 173 | 421.9 | 410.517255268199 | 379.728166666667 | 30.7890886015326 | 11.3827447318008 | | 174 | 382.9 | 332.532686302682 | 362.931333333333 | -30.3986470306514 | 50.3673136973181 | | 175 | 384.2 | 328.606541187739 | 344.305791666667 | -15.6992504789272 | 55.5934588122605 | | 176 | 345.5 | 306.792378831418 | 326.151083333333 | -19.3587045019157 | 38.7076211685824 | | 177 | 323.4 | 262.393194923372 | 327.188583333333 | -64.7953884099617 | 61.0068050766283 | | 178 | 372.6 | 323.420005268199 | 327.71775 | -4.29774473180077 | 49.1799947318008 | | 179 | 0.376 | 274.536792624521 | 329.101083333333 | -54.5642907088123 | -274.160792624521 | | 180 | 462.7 | 385.186226532567 | 314.56 | 70.626226532567 | 77.513773467433 | | 181 | 0.487 | 359.590666187739 | 298.260583333333 | 61.3300828544061 | -359.103666187739 | | 182 | 444.2 | 353.460636015326 | 283.516708333333 | 69.9439276819923 | 90.7393639846744 | | 183 | 399.3 | 241.305962164751 | 269.802 | -28.4960378352490 | 157.994037835249 | | 184 | 394.9 | 255.939404693487 | 271.018666666667 | -15.0792619731801 | 138.960595306513 | | 185 | 455.4 | 318.125421934866 | 287.336333333333 | 30.7890886015326 | 137.274578065134 | | 186 | 0.414 | 272.251186302682 | 302.649833333333 | -30.3986470306514 | -271.837186302682 | | 187 | 375.5 | 305.063624521073 | 320.762875 | -15.6992504789272 | 70.4363754789272 | | 188 | 0.347 | 319.067212164751 | 338.425916666667 | -19.3587045019157 | -318.720212164751 | | 189 | 339.4 | 272.051361590038 | 336.84675 | -64.7953884099617 | 67.3486384099617 | | 190 | 385.8 | 330.119838601533 | 334.417583333333 | -4.29774473180077 | 55.6801613984675 | | 191 | 378.8 | 277.678292624521 | 332.242583333333 | -54.5642907088123 | 101.121707375479 | | 192 | 451.8 | 417.743226532567 | 347.117 | 70.626226532567 | 34.0567734674329 | | 193 | 446.1 | 422.892332854406 | 361.56225 | 61.3300828544061 | 23.2076671455939 | | 194 | 422.5 | 444.233386015326 | 374.289458333333 | 69.9439276819923 | -21.7333860153257 | | 195 | 383.1 | 358.553962164751 | 387.05 | -28.4960378352490 | 24.5460378352491 | | 196 | 352.8 | 368.904071360153 | 383.983333333333 | -15.0792619731801 | -16.1040713601532 | | 197 | 445.3 | 410.943255268199 | 380.154166666667 | 30.7890886015326 | 34.3567447318007 | | 198 | 367.5 | 345.772186302682 | 376.170833333333 | -30.3986470306514 | 21.7278136973181 | | 199 | 355.1 | 356.863249521073 | 372.5625 | -15.6992504789272 | -1.76324952107274 | | 200 | 326.2 | 349.807962164751 | 369.166666666667 | -19.3587045019157 | -23.6079621647510 | | 201 | 319.8 | 300.767111590038 | 365.5625 | -64.7953884099617 | 19.0328884099617 | | 202 | 331.8 | 358.543921934866 | 362.841666666667 | -4.29774473180077 | -26.7439219348659 | | 203 | 340.9 | 305.319042624521 | 359.883333333333 | -54.5642907088123 | 35.5809573754789 | | 204 | 394.1 | 427.8345598659 | 357.208333333333 | 70.626226532567 | -33.7345598659003 | | 205 | 417.2 | 415.905082854406 | 354.575 | 61.3300828544061 | 1.2949171455939 | | 206 | 369.9 | 421.160594348659 | 351.216666666667 | 69.9439276819923 | -51.260594348659 | | 207 | 349.2 | 318.933128831418 | 347.429166666667 | -28.4960378352490 | 30.2668711685824 | | 208 | 321.4 | 328.52073802682 | 343.6 | -15.0792619731801 | -7.12073802681988 | | 209 | 405.7 | 370.009921934866 | 339.220833333333 | 30.7890886015326 | 35.6900780651341 | | 210 | 342.9 | 303.330519636015 | 333.729166666667 | -30.3986470306514 | 39.5694803639847 | | 211 | 316.5 | 310.696582854406 | 326.395833333333 | -15.6992504789272 | 5.80341714559387 | | 212 | 284.2 | 287.207920498084 | 306.566625 | -19.3587045019157 | -3.00792049808433 | | 213 | 270.9 | 211.832569923372 | 276.627958333333 | -64.7953884099617 | 59.0674300766283 | | 214 | 288.8 | 256.037421934866 | 260.335166666667 | -4.29774473180077 | 32.7625780651341 | | 215 | 278.8 | 202.079209291188 | 256.6435 | -54.5642907088123 | 76.7207907088123 | | 216 | 324.4 | 311.057434865900 | 240.431208333333 | 70.626226532567 | 13.3425651340996 | | 217 | 310.9 | 286.053166187739 | 224.723083333333 | 61.3300828544061 | 24.8468338122605 | | 218 | 0.299 | 291.821177681992 | 221.87725 | 69.9439276819923 | -291.522177681992 | | 219 | 0.273 | 190.952045498084 | 219.448083333333 | -28.4960378352490 | -190.679045498084 | | 220 | 279.3 | 202.064654693487 | 217.143916666667 | -15.0792619731801 | 77.2353453065134 | | 221 | 359.2 | 246.133005268199 | 215.343916666667 | 30.7890886015326 | 113.066994731801 | | 222 | 0.305 | 184.078602969349 | 214.47725 | -30.3986470306514 | -183.773602969349 | | 223 | 282.1 | 198.736332854406 | 214.435583333333 | -15.6992504789272 | 83.3636671455939 | | 224 | 250.3 | 207.685253831418 | 227.043958333333 | -19.3587045019157 | 42.6147461685824 | | 225 | 246.5 | 185.633069923372 | 250.428458333333 | -64.7953884099617 | 60.8669300766284 | | 226 | 257.9 | 255.823505268199 | 260.12125 | -4.29774473180077 | 2.07649473180078 | | 227 | 266.5 | 204.311125957854 | 258.875416666667 | -54.5642907088123 | 62.1888740421456 | | 228 | 315.9 | 343.1764348659 | 272.550208333333 | 70.626226532567 | -27.2764348659003 | | 229 | 318.4 | 347.909249521073 | 286.579166666667 | 61.3300828544061 | -29.5092495210728 | | 230 | 295.4 | 358.660594348659 | 288.716666666667 | 69.9439276819923 | -63.260594348659 | | 231 | 266.4 | 263.883128831418 | 292.379166666667 | -28.4960378352490 | 2.51687116858238 | | 232 | 245.8 | 280.679071360153 | 295.758333333333 | -15.0792619731801 | -34.8790713601532 | | 233 | 362.8 | 316.804588601533 | 286.0155 | 30.7890886015326 | 45.9954113984674 | | 234 | 324.9 | 244.169852969349 | 274.5685 | -30.3986470306514 | 80.7301470306514 | | 235 | 294.2 | 258.944249521073 | 274.6435 | -15.6992504789272 | 35.2557504789272 | | 236 | 289.5 | 255.609795498084 | 274.9685 | -19.3587045019157 | 33.8902045019157 | | 237 | 295.2 | 209.348111590038 | 274.1435 | -64.7953884099617 | 85.8518884099616 | | 238 | 290.3 | 268.483255268199 | 272.781 | -4.29774473180077 | 21.8167447318008 | | 239 | 0.272 | 217.520875957854 | 272.085166666667 | -54.5642907088123 | -217.248875957854 | | 240 | 307.4 | 342.523893199234 | 271.897666666667 | 70.626226532567 | -35.1238931992338 | | 241 | 328.7 | 332.386082854406 | 271.056 | 61.3300828544061 | -3.68608285440621 | | 242 | 292.9 | 339.091594348659 | 269.147666666667 | 69.9439276819923 | -46.1915943486590 | | 243 | 249.1 | 227.162087164751 | 255.658125 | -28.4960378352490 | 21.937912835249 | | 244 | 230.4 | 226.926821360153 | 242.006083333333 | -15.0792619731801 | 3.47317863984674 | | 245 | 361.5 | 281.496338601533 | 250.70725 | 30.7890886015326 | 80.0036613984675 | | 246 | 321.7 | 229.543102969349 | 259.94175 | -30.3986470306514 | 92.1568970306514 | | 247 | 277.2 | 241.896666187739 | 257.595916666667 | -15.6992504789272 | 35.3033338122605 | | 248 | 260.7 | 235.962212164751 | 255.320916666667 | -19.3587045019157 | 24.7377878352491 | | 249 | 0.251 | 189.979694923372 | 254.775083333333 | -64.7953884099617 | -189.728694923372 | | 250 | 257.6 | 241.099421934866 | 245.397166666667 | -4.29774473180077 | 16.5005780651342 | | 251 | 241.8 | 166.194084291188 | 220.758375 | -54.5642907088123 | 75.6059157088123 | | 252 | 287.5 | 276.190393199234 | 205.564166666667 | 70.626226532567 | 11.3096068007663 | | 253 | 292.3 | 255.210374521073 | 193.880291666667 | 61.3300828544061 | 37.0896254789272 | | 254 | 274.7 | 253.748677681992 | 183.80475 | 69.9439276819923 | 20.9513223180076 | | 255 | 254.2 | 156.772587164751 | 185.268625 | -28.4960378352490 | 97.427412835249 | | 256 | 0.23 | 159.468696360153 | 174.547958333333 | -15.0792619731801 | -159.238696360153 | | 257 | 0.339 | 195.485838601533 | 164.69675 | 30.7890886015326 | -195.146838601533 | | 258 | 318.2 | 137.381436302682 | 167.780083333333 | -30.3986470306514 | 180.818563697318 | | 259 | 0.287 | 157.922499521073 | 173.62175 | -15.6992504789272 | -157.635499521073 | | 260 | 295.8 | 162.000545498084 | 181.35925 | -19.3587045019157 | 133.799454501916 | | 261 | 0.284 | 124.880528256705 | 189.675916666667 | -64.7953884099617 | -124.596528256705 | | 262 | 0.271 | 203.676921934866 | 207.974666666667 | -4.29774473180077 | -203.405921934866 | | 263 | 262.7 | 186.940834291188 | 241.505125 | -54.5642907088123 | 75.7591657088123 | | 264 | 340.6 | 318.331851532567 | 247.705625 | 70.626226532567 | 22.2681484674330 | | 265 | 379.4 | 295.801791187739 | 234.471708333333 | 61.3300828544061 | 83.5982088122605 | | 266 | 373.3 | 309.979594348659 | 240.035666666667 | 69.9439276819923 | 63.3204056513411 | | 267 | 355.2 | 234.831962164751 | 263.328 | -28.4960378352490 | 120.368037835249 | | 268 | 338.4 | 285.167279693487 | 300.246541666667 | -15.0792619731801 | 53.2327203065134 | | 269 | 466.9 | 358.591005268199 | 327.801916666667 | 30.7890886015326 | 108.308994731801 | | 270 | 0.451 | 314.140769636015 | 344.539416666667 | -30.3986470306514 | -313.689769636015 | | 271 | 0.422 | 344.073499521073 | 359.77275 | -15.6992504789272 | -343.651499521073 | | 272 | 429.2 | 353.289045498084 | 372.64775 | -19.3587045019157 | 75.9109545019157 | | 273 | 425.9 | 318.619028256705 | 383.414416666667 | -64.7953884099617 | 107.280971743295 | | 274 | 460.7 | 388.083338601533 | 392.381083333333 | -4.29774473180077 | 72.6166613984674 | | 275 | 463.6 | 322.593834291188 | 377.158125 | -54.5642907088123 | 141.006165708812 | | 276 | 541.4 | 428.356476532567 | 357.73025 | 70.626226532567 | 113.043523467433 | | 277 | 544.2 | 440.133666187739 | 378.803583333333 | 61.3300828544061 | 104.066333812261 | | 278 | 517.5 | 451.954261015326 | 382.010333333333 | 69.9439276819923 | 65.5457389846744 | | 279 | 469.4 | 317.924337164751 | 346.420375 | -28.4960378352490 | 151.475662835249 | | 280 | 439.4 | 314.48098802682 | 329.56025 | -15.0792619731801 | 124.919011973180 | | 281 | 0.549 | 361.461838601533 | 330.67275 | 30.7890886015326 | -360.912838601533 | | 282 | 0.533 | 300.657436302682 | 331.056083333333 | -30.3986470306514 | -300.124436302682 | | 283 | 506.1 | 315.369332854406 | 331.068583333333 | -15.6992504789272 | 190.730667145594 | | 284 | 0.484 | 311.751545498084 | 331.11025 | -19.3587045019157 | -311.267545498084 | | 285 | 0.457 | 266.494028256705 | 331.289416666667 | -64.7953884099617 | -266.037028256705 | | 286 | 481.5 | 326.795838601533 | 331.093583333333 | -4.29774473180077 | 154.704161398467 | | 287 | 469.5 | 298.906417624521 | 353.470708333333 | -54.5642907088123 | 170.593582375479 | | 288 | 544.7 | 468.214351532567 | 397.588125 | 70.626226532567 | 76.485648467433 | | 289 | 541.2 | 479.600166187739 | 418.270083333333 | 61.3300828544061 | 61.5998338122606 | | 290 | 521.5 | 506.752177681992 | 436.80825 | 69.9439276819923 | 14.7478223180076 | | 291 | 469.7 | 427.699962164751 | 456.196 | -28.4960378352490 | 42.0000378352491 | | 292 | 434.4 | 438.828821360153 | 453.908083333333 | -15.0792619731801 | -4.42882136015322 | | 293 | 542.6 | 479.997171934866 | 449.208083333333 | 30.7890886015326 | 62.6028280651342 | | 294 | 517.3 | 413.180269636015 | 443.578916666667 | -30.3986470306514 | 104.119730363985 | | 295 | 485.7 | 422.300499521073 | 437.99975 | -15.6992504789272 | 63.3995004789272 | | 296 | 465.8 | 413.349378831418 | 432.708083333333 | -19.3587045019157 | 52.4506211685824 | | 297 | 0.447 | 362.804361590038 | 427.59975 | -64.7953884099617 | -362.357361590038 | | 298 | 426.6 | 418.852005268199 | 423.14975 | -4.29774473180077 | 7.74799473180076 | | 299 | 411.6 | 363.902125957854 | 418.466416666667 | -54.5642907088123 | 47.6978740421457 | | 300 | 467.5 | 465.1449348659 | 394.518708333333 | 70.626226532567 | 2.35506513409968 | | 301 | 484.5 | 431.609416187739 | 370.279333333333 | 61.3300828544061 | 52.8905838122605 | | 302 | 451.2 | 435.464927681992 | 365.521 | 69.9439276819923 | 15.7350723180077 | | 303 | 417.4 | 350.631337164751 | 379.127375 | -28.4960378352490 | 66.768662835249 | | 304 | 379.9 | 378.833654693487 | 393.912916666667 | -15.0792619731801 | 1.06634530651343 | | 305 | 484.7 | 423.585338601532 | 392.79625 | 30.7890886015326 | 61.1146613984675 | | 306 | 0.455 | 363.543436302682 | 393.942083333333 | -30.3986470306514 | -363.088436302682 | | 307 | 420.8 | 359.464249521073 | 375.1635 | -15.6992504789272 | 61.3357504789272 | | 308 | 416.5 | 336.651212164751 | 356.009916666667 | -19.3587045019157 | 79.8487878352491 | | 309 | 376.3 | 292.756194923372 | 357.551583333333 | -64.7953884099617 | 83.5438050766284 | | 310 | 405.6 | 355.220505268199 | 359.51825 | -4.29774473180077 | 50.3794947318008 | | 311 | 405.8 | 286.218042624521 | 340.782333333333 | -54.5642907088123 | 119.581957375479 | | 312 | 500.8 | 391.238101532567 | 320.611875 | 70.626226532567 | 109.561898467433 | | 313 | 0.514 | 384.765749521073 | 323.435666666667 | 61.3300828544061 | -384.251749521073 | | 314 | 475.5 | 400.521261015326 | 330.577333333333 | 69.9439276819923 | 74.9787389846743 | | 315 | 430.1 | 311.739628831418 | 340.235666666667 | -28.4960378352490 | 118.360371168582 | | 316 | 414.4 | 337.281404693487 | 352.360666666667 | -15.0792619731801 | 77.1185953065134 | | 317 | 0.538 | 398.470588601532 | 367.6815 | 30.7890886015326 | -397.932588601532 | | 318 | 0.526 | 324.983602969349 | 355.38225 | -30.3986470306514 | -324.457602969349 | | 319 | 488.5 | 353.449832854406 | 369.149083333333 | -15.6992504789272 | 135.050167145594 | | 320 | 520.2 | 399.406462164751 | 418.765166666667 | -19.3587045019157 | 120.793537835249 | | 321 | 504.4 | 351.098194923372 | 415.893583333333 | -64.7953884099617 | 153.301805076628 | | 322 | 568.5 | 408.203421934866 | 412.501166666667 | -4.29774473180077 | 160.296578065134 | | 323 | 610.6 | 408.114459291188 | 462.67875 | -54.5642907088123 | 202.485540708812 | | 324 | 0.818 | 603.168976532567 | 532.54275 | 70.626226532567 | -602.350976532567 | | 325 | 830.9 | 639.767582854406 | 578.4375 | 61.3300828544061 | 191.132417145594 | | 326 | 835.9 | 669.760594348659 | 599.816666666667 | 69.9439276819923 | 166.139405651341 | | 327 | 0.782 | 590.153962164751 | 618.65 | -28.4960378352490 | -589.371962164751 | | 328 | 762.3 | 619.179071360153 | 634.258333333333 | -15.0792619731801 | 143.120928639847 | | 329 | 856.9 | 676.026588601533 | 645.2375 | 30.7890886015326 | 180.873411398467 | | 330 | 820.9 | 653.400602969349 | 683.79925 | -30.3986470306514 | 167.499397030651 | | 331 | 769.6 | 700.974249521073 | 716.6735 | -15.6992504789272 | 68.6257504789274 | | 332 | 752.2 | 692.689795498084 | 712.0485 | -19.3587045019157 | 59.5102045019158 | | 333 | 724.4 | 643.774236590038 | 708.569625 | -64.7953884099617 | 80.6257634099617 | | 334 | 723.1 | 698.772171934866 | 703.069916666667 | -4.29774473180077 | 24.3278280651342 | | 335 | 719.5 | 639.201459291188 | 693.76575 | -54.5642907088123 | 80.2985407088123 | | 336 | 817.4 | 757.9503098659 | 687.324083333333 | 70.626226532567 | 59.4496901340996 | | 337 | 803.3 | 744.462499521073 | 683.132416666667 | 61.3300828544061 | 58.8375004789273 | | 338 | 752.5 | 749.451344348659 | 679.507416666667 | 69.9439276819923 | 3.04865565134094 | | 339 | 0.689 | 647.232212164751 | 675.72825 | -28.4960378352490 | -646.543212164751 | | 340 | 630.4 | 658.369821360153 | 673.449083333333 | -15.0792619731801 | -27.9698213601533 | | 341 | 765.5 | 702.950671934866 | 672.161583333333 | 30.7890886015326 | 62.5493280651341 | | 342 | 757.7 | 639.683769636015 | 670.082416666667 | -30.3986470306514 | 118.016230363985 | | 343 | 732.2 | 653.341499521073 | 669.04075 | -15.6992504789272 | 78.8585004789273 | | 344 | 702.6 | 650.127878831418 | 669.486583333333 | -19.3587045019157 | 52.4721211685825 | | 345 | 683.3 | 632.158319923372 | 696.953708333333 | -64.7953884099617 | 51.1416800766284 | | 346 | 709.5 | 719.356421934866 | 723.654166666667 | -4.29774473180077 | -9.8564219348658 | | 347 | 702.2 | 667.610709291188 | 722.175 | -54.5642907088123 | 34.5892907088123 | | 348 | 784.8 | 789.3095598659 | 718.683333333333 | 70.626226532567 | -4.50955986590031 | | 349 | 810.9 | 775.009249521073 | 713.679166666666 | 61.3300828544061 | 35.8907504789274 | | 350 | 755.6 | 778.814761015326 | 708.870833333333 | 69.9439276819923 | -23.2147610153256 | | 351 | 656.8 | 675.370628831418 | 703.866666666667 | -28.4960378352490 | -18.5706288314177 | | 352 | 615.1 | 683.116571360153 | 698.195833333333 | -15.0792619731801 | -68.0165713601532 | | 353 | 745.3 | 696.6302552682 | 665.841166666667 | 30.7890886015326 | 48.6697447318007 | | 354 | 694.1 | 602.246186302682 | 632.644833333334 | -30.3986470306514 | 91.8538136973178 | | 355 | 675.7 | 607.274749521073 | 622.974 | -15.6992504789272 | 68.4252504789272 | | 356 | 643.7 | 593.419462164751 | 612.778166666667 | -19.3587045019157 | 50.280537835249 | | 357 | 622.1 | 539.828611590038 | 604.624 | -64.7953884099617 | 82.2713884099617 | | 358 | 634.6 | 593.767921934866 | 598.065666666667 | -4.29774473180077 | 40.8320780651342 | | 359 | 0.588 | 535.913875957854 | 590.478166666667 | -54.5642907088123 | -535.325875957854 | | 360 | 689.7 | 654.312726532567 | 583.6865 | 70.626226532567 | 35.3872734674329 | | 361 | 673.9 | NA | 578.149 | NA | NA | | 362 | 647.9 | NA | 572.040666666667 | NA | NA | | 363 | 568.8 | NA | 543.475916666667 | NA | NA | | 364 | 545.7 | NA | 514.590333333333 | NA | NA | | 365 | 632.6 | NA | 535.4325 | NA | NA | | 366 | 643.8 | NA | NA | NA | NA | | 367 | 593.1 | NA | NA | NA | NA | | 368 | 579.7 | NA | NA | NA | NA | | 369 | 0.546 | NA | NA | NA | NA | | 370 | 562.9 | NA | NA | NA | NA | | 371 | 572.5 | NA | NA | NA | NA |
| | | | Charts produced by software: |  | | http://www.freestatistics.org/blog/date/2010/Dec/08/t1291826782zw6sb7d4y1eqqdx/1b3bc1291826874.png (open in new window) | | http://www.freestatistics.org/blog/date/2010/Dec/08/t1291826782zw6sb7d4y1eqqdx/1b3bc1291826874.ps (open in new window) |
 | | http://www.freestatistics.org/blog/date/2010/Dec/08/t1291826782zw6sb7d4y1eqqdx/2b3bc1291826874.png (open in new window) | | http://www.freestatistics.org/blog/date/2010/Dec/08/t1291826782zw6sb7d4y1eqqdx/2b3bc1291826874.ps (open in new window) |
 | | http://www.freestatistics.org/blog/date/2010/Dec/08/t1291826782zw6sb7d4y1eqqdx/3mb9f1291826874.png (open in new window) | | http://www.freestatistics.org/blog/date/2010/Dec/08/t1291826782zw6sb7d4y1eqqdx/3mb9f1291826874.ps (open in new window) |
 | | http://www.freestatistics.org/blog/date/2010/Dec/08/t1291826782zw6sb7d4y1eqqdx/4mb9f1291826874.png (open in new window) | | http://www.freestatistics.org/blog/date/2010/Dec/08/t1291826782zw6sb7d4y1eqqdx/4mb9f1291826874.ps (open in new window) |
| | | | 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$trend)) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
if (par1 == 'additive') a<-table.element(a,m$trend[i]+m$seasonal[i]) else a<-table.element(a,m$trend[i]*m$seasonal[i])
a<-table.element(a,m$trend[i])
a<-table.element(a,m$seasonal[i])
a<-table.element(a,m$random[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')
| | |
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