| WS8 Classical decomposition | | *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: Mon, 29 Nov 2010 10:00:13 +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/Nov/29/t1291024752wotaj01ye5jzwrk.htm/, Retrieved Mon, 29 Nov 2010 10:59:17 +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/Nov/29/t1291024752wotaj01ye5jzwrk.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 « | | 235.1
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
357
369
464.8
479.1
431.3
366.5
326.3
355.1
331.6
261.3
249
205.5
235.6
240.9
264.9
253.8
232.3
193.8
177
213.2
207.2
180.6
188.6
175.4
199
179.6
225.8
234
200.2
183.6
178.2
203.2
208.5
191.8
172.8
148
159.4
154.5
213.2
196.4
182.8
176.4
153.6
173.2
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
347
343.3
292.9
311.5
300.9
366.9
356.9
329.7
316.2
269
289.3
266.2
253.6
233.8
228.4
253.6
260.1
306.6
309.2
309.5
271
279.9
317.9
298.4
246.7
227.3
209.1
259.9
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
375
378.5
406.8
467.8
469.8
429.8
355.8
332.7
378
360.5
334.7
319.5
323.1
363.6
352.1
411.9
388.6
416.4
360.7
338
417.2
388. etc... | | | | Output produced by software: |
| Classical Decomposition by Moving Averages | | t | Observations | Fit | Trend | Seasonal | Random | | 1 | 235.1 | NA | NA | 46.7511574074074 | NA | | 2 | 280.7 | NA | NA | 54.3856018518519 | NA | | 3 | 264.6 | NA | NA | 30.8804629629630 | NA | | 4 | 240.7 | NA | NA | -9.57745370370371 | NA | | 5 | 201.4 | NA | NA | -30.5059259259259 | NA | | 6 | 240.8 | NA | NA | 42.3424074074074 | NA | | 7 | 241.1 | 247.241574074074 | 230.416666666667 | 16.8249074074074 | -6.14157407407407 | | 8 | 223.8 | 221.033240740741 | 235.879166666667 | -14.8459259259259 | 2.76675925925926 | | 9 | 206.1 | 208.574768518519 | 241.729166666667 | -33.1543981481481 | -2.47476851851854 | | 10 | 174.7 | 199.449212962963 | 248.425 | -48.975787037037 | -24.749212962963 | | 11 | 203.3 | 230.641990740741 | 258.308333333333 | -27.6663425925926 | -27.3419907407407 | | 12 | 220.5 | 244.599629629630 | 271.058333333333 | -26.4587037037037 | -24.0996296296296 | | 13 | 299.5 | 332.538657407407 | 285.7875 | 46.7511574074074 | -33.0386574074074 | | 14 | 347.4 | 355.568935185185 | 301.183333333333 | 54.3856018518519 | -8.1689351851852 | | 15 | 338.3 | 345.780462962963 | 314.9 | 30.8804629629630 | -7.48046296296292 | | 16 | 327.7 | 320.385046296296 | 329.9625 | -9.57745370370371 | 7.3149537037038 | | 17 | 351.6 | 314.364907407407 | 344.870833333333 | -30.5059259259259 | 37.2350925925926 | | 18 | 396.6 | 399.804907407407 | 357.4625 | 42.3424074074074 | -3.20490740740735 | | 19 | 438.8 | 387.362407407407 | 370.5375 | 16.8249074074074 | 51.4375925925926 | | 20 | 395.6 | 368.066574074074 | 382.9125 | -14.8459259259259 | 27.5334259259259 | | 21 | 363.5 | 359.120601851852 | 392.275 | -33.1543981481481 | 4.37939814814808 | | 22 | 378.8 | 348.790879629630 | 397.766666666667 | -48.975787037037 | 30.0091203703704 | | 23 | 357 | 370.662824074074 | 398.329166666667 | -27.6663425925926 | -13.6628240740740 | | 24 | 369 | 369.087129629630 | 395.545833333333 | -26.4587037037037 | -0.0871296296296009 | | 25 | 464.8 | 436.101157407407 | 389.35 | 46.7511574074074 | 28.6988425925926 | | 26 | 479.1 | 433.673101851852 | 379.2875 | 54.3856018518519 | 45.4268981481482 | | 27 | 431.3 | 399.801296296296 | 368.920833333333 | 30.8804629629630 | 31.4987037037038 | | 28 | 366.5 | 347.351712962963 | 356.929166666667 | -9.57745370370371 | 19.1482870370371 | | 29 | 326.3 | 314.144074074074 | 344.65 | -30.5059259259259 | 12.1559259259259 | | 30 | 355.1 | 376.596574074074 | 334.254166666667 | 42.3424074074074 | -21.4965740740740 | | 31 | 331.6 | 337.412407407407 | 320.5875 | 16.8249074074074 | -5.81240740740742 | | 32 | 261.3 | 288.024907407407 | 302.870833333333 | -14.8459259259259 | -26.7249074074074 | | 33 | 249 | 252.037268518518 | 285.191666666667 | -33.1543981481481 | -3.03726851851849 | | 34 | 205.5 | 220.728379629630 | 269.704166666667 | -48.975787037037 | -15.2283796296296 | | 35 | 235.6 | 228.621157407407 | 256.2875 | -27.6663425925926 | 6.97884259259257 | | 36 | 240.9 | 217.695462962963 | 244.154166666667 | -26.4587037037037 | 23.2045370370371 | | 37 | 264.9 | 279.809490740741 | 233.058333333333 | 46.7511574074074 | -14.9094907407408 | | 38 | 253.8 | 278.898101851852 | 224.5125 | 54.3856018518519 | -25.0981018518518 | | 39 | 232.3 | 249.513796296296 | 218.633333333333 | 30.8804629629630 | -17.2137962962962 | | 40 | 193.8 | 205.285046296296 | 214.8625 | -9.57745370370371 | -11.4850462962962 | | 41 | 177 | 181.577407407407 | 212.083333333333 | -30.5059259259259 | -4.57740740740735 | | 42 | 213.2 | 250.346574074074 | 208.004166666667 | 42.3424074074074 | -37.1465740740741 | | 43 | 207.2 | 220.645740740741 | 203.820833333333 | 16.8249074074074 | -13.4457407407407 | | 44 | 180.6 | 186.520740740741 | 201.366666666667 | -14.8459259259259 | -5.92074074074071 | | 45 | 188.6 | 166.049768518519 | 199.204166666667 | -33.1543981481481 | 22.5502314814815 | | 46 | 175.4 | 148.465879629630 | 197.441666666667 | -48.975787037037 | 26.9341203703704 | | 47 | 199 | 169.400324074074 | 197.066666666667 | -27.6663425925926 | 29.5996759259259 | | 48 | 179.6 | 170.241296296296 | 196.7 | -26.4587037037037 | 9.3587037037037 | | 49 | 225.8 | 243.088657407407 | 196.3375 | 46.7511574074074 | -17.2886574074074 | | 50 | 234 | 251.243935185185 | 196.858333333333 | 54.3856018518519 | -17.2439351851852 | | 51 | 200.2 | 227.547129629630 | 196.666666666667 | 30.8804629629630 | -27.3471296296296 | | 52 | 183.6 | 185.289212962963 | 194.866666666667 | -9.57745370370371 | -1.68921296296296 | | 53 | 178.2 | 161.569074074074 | 192.075 | -30.5059259259259 | 16.6309259259260 | | 54 | 203.2 | 231.721574074074 | 189.379166666667 | 42.3424074074074 | -28.5215740740741 | | 55 | 208.5 | 204.633240740741 | 187.808333333333 | 16.8249074074074 | 3.86675925925925 | | 56 | 191.8 | 170.870740740741 | 185.716666666667 | -14.8459259259259 | 20.9292592592593 | | 57 | 172.8 | 150.270601851852 | 183.425 | -33.1543981481481 | 22.5293981481481 | | 58 | 148 | 133.424212962963 | 182.4 | -48.975787037037 | 14.5757870370370 | | 59 | 159.4 | 153.408657407407 | 181.075 | -27.6663425925926 | 5.99134259259259 | | 60 | 154.5 | 152.341296296296 | 178.8 | -26.4587037037037 | 2.15870370370371 | | 61 | 213.2 | 222.738657407407 | 175.9875 | 46.7511574074074 | -9.53865740740744 | | 62 | 196.4 | 227.118935185185 | 172.733333333333 | 54.3856018518519 | -30.7189351851852 | | 63 | 182.8 | 201.467962962963 | 170.5875 | 30.8804629629630 | -18.6679629629629 | | 64 | 176.4 | 160.939212962963 | 170.516666666667 | -9.57745370370371 | 15.4607870370371 | | 65 | 153.6 | 142.156574074074 | 172.6625 | -30.5059259259259 | 11.4434259259259 | | 66 | 173.2 | 220.179907407407 | 177.8375 | 42.3424074074074 | -46.9799074074074 | | 67 | 171 | 204.029074074074 | 187.204166666667 | 16.8249074074074 | -33.0290740740741 | | 68 | 151.2 | 186.724907407407 | 201.570833333333 | -14.8459259259259 | -35.5249074074074 | | 69 | 161.9 | 186.033101851852 | 219.1875 | -33.1543981481481 | -24.1331018518518 | | 70 | 157.2 | 188.090879629630 | 237.066666666667 | -48.975787037037 | -30.8908796296296 | | 71 | 201.7 | 226.916990740741 | 254.583333333333 | -27.6663425925926 | -25.2169907407408 | | 72 | 236.4 | 245.087129629630 | 271.545833333333 | -26.4587037037037 | -8.68712962962957 | | 73 | 356.1 | 334.621990740741 | 287.870833333333 | 46.7511574074074 | 21.4780092592593 | | 74 | 398.3 | 358.618935185185 | 304.233333333333 | 54.3856018518519 | 39.6810648148148 | | 75 | 403.7 | 350.830462962963 | 319.95 | 30.8804629629630 | 52.869537037037 | | 76 | 384.6 | 323.585046296296 | 333.1625 | -9.57745370370371 | 61.0149537037037 | | 77 | 365.8 | 312.885740740741 | 343.391666666667 | -30.5059259259259 | 52.9142592592593 | | 78 | 368.1 | 392.996574074074 | 350.654166666667 | 42.3424074074074 | -24.8965740740741 | | 79 | 367.9 | 370.616574074074 | 353.791666666667 | 16.8249074074074 | -2.71657407407406 | | 80 | 347 | 337.670740740741 | 352.516666666667 | -14.8459259259259 | 9.32925925925923 | | 81 | 343.3 | 314.553935185185 | 347.708333333333 | -33.1543981481481 | 28.7460648148148 | | 82 | 292.9 | 292.799212962963 | 341.775 | -48.975787037037 | 0.100787037037037 | | 83 | 311.5 | 307.225324074074 | 334.891666666667 | -27.6663425925926 | 4.27467592592592 | | 84 | 300.9 | 301.116296296296 | 327.575 | -26.4587037037037 | -0.216296296296264 | | 85 | 366.9 | 366.805324074074 | 320.054166666667 | 46.7511574074074 | 0.0946759259259125 | | 86 | 356.9 | 366.310601851852 | 311.925 | 54.3856018518519 | -9.41060185185188 | | 87 | 329.7 | 334.351296296296 | 303.470833333333 | 30.8804629629630 | -4.65129629629627 | | 88 | 316.2 | 286.643379629630 | 296.220833333333 | -9.57745370370371 | 29.5566203703704 | | 89 | 269 | 260.614907407407 | 291.120833333333 | -30.5059259259259 | 8.38509259259257 | | 90 | 289.3 | 329.350740740741 | 287.008333333333 | 42.3424074074074 | -40.0507407407408 | | 91 | 266.2 | 299.620740740741 | 282.795833333333 | 16.8249074074074 | -33.4207407407408 | | 92 | 253.6 | 263.449907407407 | 278.295833333333 | -14.8459259259259 | -9.84990740740744 | | 93 | 233.8 | 242.312268518518 | 275.466666666667 | -33.1543981481481 | -8.51226851851851 | | 94 | 228.4 | 223.765879629630 | 272.741666666667 | -48.975787037037 | 4.6341203703704 | | 95 | 253.6 | 243.646157407407 | 271.3125 | -27.6663425925926 | 9.9538425925926 | | 96 | 260.1 | 246.499629629630 | 272.958333333333 | -26.4587037037037 | 13.6003703703704 | | 97 | 306.6 | 322.242824074074 | 275.491666666667 | 46.7511574074074 | -15.642824074074 | | 98 | 309.2 | 330.931435185185 | 276.545833333333 | 54.3856018518519 | -21.7314351851851 | | 99 | 309.5 | 306.867962962963 | 275.9875 | 30.8804629629630 | 2.63203703703709 | | 100 | 271 | 265.335046296296 | 274.9125 | -9.57745370370371 | 5.66495370370376 | | 101 | 279.9 | 243.864907407407 | 274.370833333333 | -30.5059259259259 | 36.0350925925925 | | 102 | 317.9 | 317.221574074074 | 274.879166666667 | 42.3424074074074 | 0.678425925925978 | | 103 | 298.4 | 292.533240740741 | 275.708333333333 | 16.8249074074074 | 5.86675925925925 | | 104 | 246.7 | 261.416574074074 | 276.2625 | -14.8459259259259 | -14.7165740740741 | | 105 | 227.3 | 241.941435185185 | 275.095833333333 | -33.1543981481481 | -14.6414351851852 | | 106 | 209.1 | 224.636712962963 | 273.6125 | -48.975787037037 | -15.536712962963 | | 107 | 259.9 | 244.916990740741 | 272.583333333333 | -27.6663425925926 | 14.9830092592592 | | 108 | 266 | 245.241296296296 | 271.7 | -26.4587037037037 | 20.7587037037037 | | 109 | 320.6 | 317.663657407407 | 270.9125 | 46.7511574074074 | 2.93634259259267 | | 110 | 308.5 | 324.956435185185 | 270.570833333333 | 54.3856018518519 | -16.4564351851851 | | 111 | 282.2 | 302.655462962963 | 271.775 | 30.8804629629630 | -20.455462962963 | | 112 | 262.7 | 264.714212962963 | 274.291666666667 | -9.57745370370371 | -2.01421296296292 | | 113 | 263.5 | 247.544074074074 | 278.05 | -30.5059259259259 | 15.9559259259259 | | 114 | 313.1 | 325.392407407407 | 283.05 | 42.3424074074074 | -12.2924074074074 | | 115 | 284.3 | 307.916574074074 | 291.091666666667 | 16.8249074074074 | -23.6165740740740 | | 116 | 252.6 | 289.949907407407 | 304.795833333333 | -14.8459259259259 | -37.3499074074074 | | 117 | 250.3 | 289.824768518518 | 322.979166666667 | -33.1543981481481 | -39.5247685185184 | | 118 | 246.5 | 293.878379629630 | 342.854166666667 | -48.975787037037 | -47.3783796296295 | | 119 | 312.7 | 334.496157407407 | 362.1625 | -27.6663425925926 | -21.7961574074075 | | 120 | 333.2 | 353.574629629630 | 380.033333333333 | -26.4587037037037 | -20.3746296296297 | | 121 | 446.4 | 444.896990740741 | 398.145833333333 | 46.7511574074074 | 1.50300925925922 | | 122 | 511.6 | 470.598101851852 | 416.2125 | 54.3856018518519 | 41.0018981481483 | | 123 | 515.5 | 462.242962962963 | 431.3625 | 30.8804629629630 | 53.2570370370371 | | 124 | 506.4 | 433.618379629629 | 443.195833333333 | -9.57745370370371 | 72.7816203703704 | | 125 | 483.2 | 420.785740740741 | 451.291666666667 | -30.5059259259259 | 62.4142592592594 | | 126 | 522.3 | 499.442407407407 | 457.1 | 42.3424074074074 | 22.8575925925927 | | 127 | 509.8 | 477.883240740741 | 461.058333333333 | 16.8249074074074 | 31.9167592592593 | | 128 | 460.7 | 445.362407407407 | 460.208333333333 | -14.8459259259259 | 15.3375925925926 | | 129 | 405.8 | 421.741435185185 | 454.895833333333 | -33.1543981481481 | -15.9414351851852 | | 130 | 375 | 396.074212962963 | 445.05 | -48.975787037037 | -21.0742129629629 | | 131 | 378.5 | 404.837824074074 | 432.504166666667 | -27.6663425925926 | -26.337824074074 | | 132 | 406.8 | 393.76212962963 | 420.220833333333 | -26.4587037037037 | 13.0378703703704 | | 133 | 467.8 | 454.738657407407 | 407.9875 | 46.7511574074074 | 13.0613425925927 | | 134 | 469.8 | 450.902268518518 | 396.516666666667 | 54.3856018518519 | 18.8977314814815 | | 135 | 429.8 | 418.551296296296 | 387.670833333333 | 30.8804629629630 | 11.2487037037037 | | 136 | 355.8 | 372.335046296296 | 381.9125 | -9.57745370370371 | -16.5350462962962 | | 137 | 332.7 | 348.623240740741 | 379.129166666667 | -30.5059259259259 | -15.9232407407407 | | 138 | 378 | 418.571574074074 | 376.229166666667 | 42.3424074074074 | -40.571574074074 | | 139 | 360.5 | 388.445740740741 | 371.620833333333 | 16.8249074074074 | -27.9457407407407 | | 140 | 334.7 | 351.062407407407 | 365.908333333333 | -14.8459259259259 | -16.3624074074074 | | 141 | 319.5 | 328.812268518519 | 361.966666666667 | -33.1543981481481 | -9.31226851851858 | | 142 | 323.1 | 312.636712962963 | 361.6125 | -48.975787037037 | 10.4632870370370 | | 143 | 363.6 | 334.371157407407 | 362.0375 | -27.6663425925926 | 29.2288425925926 | | 144 | 352.1 | 337.432962962963 | 363.891666666667 | -26.4587037037037 | 14.6670370370371 | | 145 | 411.9 | 413.438657407407 | 366.6875 | 46.7511574074074 | -1.53865740740736 | | 146 | 388.6 | 423.752268518519 | 369.366666666667 | 54.3856018518519 | -35.1522685185185 | | 147 | 416.4 | 402.263796296296 | 371.383333333333 | 30.8804629629630 | 14.1362037037037 | | 148 | 360.7 | 363.580879629630 | 373.158333333333 | -9.57745370370371 | -2.88087962962953 | | 149 | 338 | 345.306574074074 | 375.8125 | -30.5059259259259 | -7.30657407407409 | | 150 | 417.2 | 423.488240740741 | 381.145833333333 | 42.3424074074074 | -6.28824074074066 | | 151 | 388.4 | 406.991574074074 | 390.166666666667 | 16.8249074074074 | -18.5915740740741 | | 152 | 371.1 | 387.754074074074 | 402.6 | -14.8459259259259 | -16.6540740740741 | | 153 | 331.5 | 382.058101851852 | 415.2125 | -33.1543981481481 | -50.5581018518519 | | 154 | 353.7 | 376.815879629630 | 425.791666666667 | -48.975787037037 | -23.1158796296297 | | 155 | 396.7 | 408.837824074074 | 436.504166666667 | -27.6663425925926 | -12.1378240740740 | | 156 | 447 | 420.178796296296 | 446.6375 | -26.4587037037037 | 26.8212037037037 | | 157 | 533.5 | 502.630324074074 | 455.879166666667 | 46.7511574074074 | 30.8696759259259 | | 158 | 565.4 | 517.789768518518 | 463.404166666667 | 54.3856018518519 | 47.6102314814815 | | 159 | 542.3 | 500.317962962963 | 469.4375 | 30.8804629629630 | 41.982037037037 | | 160 | 488.7 | 464.214212962963 | 473.791666666667 | -9.57745370370371 | 24.485787037037 | | 161 | 467.1 | 444.535740740741 | 475.041666666667 | -30.5059259259259 | 22.5642592592594 | | 162 | 531.3 | 515.488240740741 | 473.145833333333 | 42.3424074074074 | 15.8117592592592 | | 163 | 496.1 | 485.208240740741 | 468.383333333333 | 16.8249074074074 | 10.8917592592593 | | 164 | 444 | 445.674907407407 | 460.520833333333 | -14.8459259259259 | -1.67490740740737 | | 165 | 403.4 | 417.895601851852 | 451.05 | -33.1543981481481 | -14.4956018518519 | | 166 | 386.3 | 393.224212962963 | 442.2 | -48.975787037037 | -6.92421296296288 | | 167 | 394.1 | 407.271157407407 | 434.9375 | -27.6663425925926 | -13.1711574074073 | | 168 | 404.1 | 400.92462962963 | 427.383333333333 | -26.4587037037037 | 3.17537037037044 | | 169 | 462.1 | 464.859490740741 | 418.108333333333 | 46.7511574074074 | -2.75949074074066 | | 170 | 448.1 | 465.285601851852 | 410.9 | 54.3856018518519 | -17.1856018518519 | | 171 | 432.3 | 436.876296296296 | 405.995833333333 | 30.8804629629630 | -4.57629629629633 | | 172 | 386.3 | 391.385046296296 | 400.9625 | -9.57745370370371 | -5.08504629629624 | | 173 | 395.2 | 366.939907407407 | 397.445833333333 | -30.5059259259259 | 28.2600925925925 | | 174 | 421.9 | 437.721574074074 | 395.379166666667 | 42.3424074074074 | -15.8215740740740 | | 175 | 382.9 | 411.058240740741 | 394.233333333333 | 16.8249074074074 | -28.1582407407407 | | 176 | 384.2 | 381.033240740741 | 395.879166666667 | -14.8459259259259 | 3.16675925925927 | | 177 | 345.5 | 364.841435185185 | 397.995833333333 | -33.1543981481481 | -19.3414351851851 | | 178 | 323.4 | 350.057546296296 | 399.033333333333 | -48.975787037037 | -26.6575462962963 | | 179 | 372.6 | 371.896157407407 | 399.5625 | -27.6663425925926 | 0.703842592592707 | | 180 | 376 | 374.487129629630 | 400.945833333333 | -26.4587037037037 | 1.51287037037036 | | 181 | 462.7 | 450.388657407407 | 403.6375 | 46.7511574074074 | 12.3113425925927 | | 182 | 487 | 458.956435185185 | 404.570833333333 | 54.3856018518519 | 28.0435648148148 | | 183 | 444.2 | 435.151296296296 | 404.270833333333 | 30.8804629629630 | 9.04870370370378 | | 184 | 399.3 | 395.422546296296 | 405 | -9.57745370370371 | 3.87745370370374 | | 185 | 394.9 | 375.710740740741 | 406.216666666667 | -30.5059259259259 | 19.1892592592593 | | 186 | 455.4 | 449.225740740741 | 406.883333333333 | 42.3424074074074 | 6.17425925925932 | | 187 | 414 | 423.370740740741 | 406.545833333333 | 16.8249074074074 | -9.37074074074064 | | 188 | 375.5 | 389.541574074074 | 404.3875 | -14.8459259259259 | -14.0415740740741 | | 189 | 347 | 368.624768518518 | 401.779166666667 | -33.1543981481481 | -21.6247685185185 | | 190 | 339.4 | 351.224212962963 | 400.2 | -48.975787037037 | -11.8242129629630 | | 191 | 385.8 | 370.104490740741 | 397.770833333333 | -27.6663425925926 | 15.6955092592593 | | 192 | 378.8 | 369.137129629630 | 395.595833333333 | -26.4587037037037 | 9.66287037037029 | | 193 | 451.8 | 439.988657407407 | 393.2375 | 46.7511574074074 | 11.8113425925926 | | 194 | 446.1 | 444.835601851852 | 390.45 | 54.3856018518519 | 1.26439814814813 | | 195 | 422.5 | 419.613796296296 | 388.733333333333 | 30.8804629629630 | 2.88620370370376 | | 196 | 383.1 | 377.472546296296 | 387.05 | -9.57745370370371 | 5.6274537037038 | | 197 | 352.8 | 353.477407407407 | 383.983333333333 | -30.5059259259259 | -0.677407407407429 | | 198 | 445.3 | 422.496574074074 | 380.154166666667 | 42.3424074074074 | 22.8034259259259 | | 199 | 367.5 | 392.995740740741 | 376.170833333333 | 16.8249074074074 | -25.4957407407407 | | 200 | 355.1 | 357.716574074074 | 372.5625 | -14.8459259259259 | -2.61657407407404 | | 201 | 326.2 | 336.012268518519 | 369.166666666667 | -33.1543981481481 | -9.81226851851858 | | 202 | 319.8 | 316.586712962963 | 365.5625 | -48.975787037037 | 3.21328703703705 | | 203 | 331.8 | 335.175324074074 | 362.841666666667 | -27.6663425925926 | -3.37532407407406 | | 204 | 340.9 | 333.424629629630 | 359.883333333333 | -26.4587037037037 | 7.47537037037034 | | 205 | 394.1 | 403.959490740741 | 357.208333333333 | 46.7511574074074 | -9.85949074074063 | | 206 | 417.2 | 408.960601851852 | 354.575 | 54.3856018518519 | 8.23939814814821 | | 207 | 369.9 | 382.097129629630 | 351.216666666667 | 30.8804629629630 | -12.1971296296296 | | 208 | 349.2 | 337.851712962963 | 347.429166666667 | -9.57745370370371 | 11.3482870370371 | | 209 | 321.4 | 313.094074074074 | 343.6 | -30.5059259259259 | 8.30592592592592 | | 210 | 405.7 | 381.563240740741 | 339.220833333333 | 42.3424074074074 | 24.1367592592593 | | 211 | 342.9 | 350.554074074074 | 333.729166666667 | 16.8249074074074 | -7.65407407407406 | | 212 | 316.5 | 311.549907407407 | 326.395833333333 | -14.8459259259259 | 4.95009259259257 | | 213 | 284.2 | 285.858101851852 | 319.0125 | -33.1543981481481 | -1.65810185185194 | | 214 | 270.9 | 263.907546296296 | 312.883333333333 | -48.975787037037 | 6.99245370370375 | | 215 | 288.8 | 280.287824074074 | 307.954166666667 | -27.6663425925926 | 8.51217592592599 | | 216 | 278.8 | 277.803796296296 | 304.2625 | -26.4587037037037 | 0.99620370370377 | | 217 | 324.4 | 347.496990740741 | 300.745833333333 | 46.7511574074074 | -23.0969907407408 | | 218 | 310.9 | 352.118935185185 | 297.733333333333 | 54.3856018518519 | -41.2189351851852 | | 219 | 299 | 325.767962962963 | 294.8875 | 30.8804629629630 | -26.7679629629629 | | 220 | 273 | 282.880879629630 | 292.458333333333 | -9.57745370370371 | -9.88087962962965 | | 221 | 279.3 | 259.648240740741 | 290.154166666667 | -30.5059259259259 | 19.6517592592592 | | 222 | 359.2 | 330.696574074074 | 288.354166666667 | 42.3424074074074 | 28.503425925926 | | 223 | 305 | 304.312407407407 | 287.4875 | 16.8249074074074 | 0.687592592592637 | | 224 | 282.1 | 272.599907407407 | 287.445833333333 | -14.8459259259259 | 9.50009259259258 | | 225 | 250.3 | 254.453935185185 | 287.608333333333 | -33.1543981481481 | -4.15393518518516 | | 226 | 246.5 | 238.207546296296 | 287.183333333333 | -48.975787037037 | 8.29245370370376 | | 227 | 257.9 | 257.846157407407 | 285.5125 | -27.6663425925926 | 0.0538425925926731 | | 228 | 266.5 | 257.807962962963 | 284.266666666667 | -26.4587037037037 | 8.69203703703704 | | 229 | 315.9 | 331.996990740741 | 285.245833333333 | 46.7511574074074 | -16.0969907407407 | | 230 | 318.4 | 340.964768518518 | 286.579166666667 | 54.3856018518519 | -22.5647685185185 | | 231 | 295.4 | 319.597129629630 | 288.716666666667 | 30.8804629629630 | -24.1971296296297 | | 232 | 266.4 | 282.801712962963 | 292.379166666667 | -9.57745370370371 | -16.4017129629629 | | 233 | 245.8 | 265.252407407407 | 295.758333333333 | -30.5059259259259 | -19.4524074074074 | | 234 | 362.8 | 339.679907407407 | 297.3375 | 42.3424074074074 | 23.1200925925926 | | 235 | 324.9 | 314.037407407407 | 297.2125 | 16.8249074074074 | 10.8625925925926 | | 236 | 294.2 | 282.441574074074 | 297.2875 | -14.8459259259259 | 11.7584259259259 | | 237 | 289.5 | 264.458101851852 | 297.6125 | -33.1543981481481 | 25.0418981481481 | | 238 | 295.2 | 247.811712962963 | 296.7875 | -48.975787037037 | 47.388287037037 | | 239 | 290.3 | 267.758657407407 | 295.425 | -27.6663425925926 | 22.5413425925926 | | 240 | 272 | 268.270462962963 | 294.729166666667 | -26.4587037037037 | 3.72953703703706 | | 241 | 307.4 | 341.292824074074 | 294.541666666667 | 46.7511574074074 | -33.8928240740741 | | 242 | 328.7 | 348.085601851852 | 293.7 | 54.3856018518519 | -19.3856018518518 | | 243 | 292.9 | 322.672129629630 | 291.791666666667 | 30.8804629629630 | -29.7721296296296 | | 244 | 249.1 | 279.172546296296 | 288.75 | -9.57745370370371 | -30.0725462962963 | | 245 | 230.4 | 255.039907407407 | 285.545833333333 | -30.5059259259259 | -24.6399074074074 | | 246 | 361.5 | 325.267407407407 | 282.925 | 42.3424074074074 | 36.2325925925927 | | 247 | 321.7 | 297.662407407407 | 280.8375 | 16.8249074074074 | 24.0375925925926 | | 248 | 277.2 | 263.645740740741 | 278.491666666667 | -14.8459259259259 | 13.5542592592593 | | 249 | 260.7 | 243.062268518518 | 276.216666666667 | -33.1543981481481 | 17.6377314814815 | | 250 | 251 | 226.695046296296 | 275.670833333333 | -48.975787037037 | 24.3049537037037 | | 251 | 257.6 | 248.200324074074 | 275.866666666667 | -27.6663425925926 | 9.39967592592598 | | 252 | 241.8 | 248.453796296296 | 274.9125 | -26.4587037037037 | -6.65379629629626 | | 253 | 287.5 | 320.580324074074 | 273.829166666667 | 46.7511574074074 | -33.0803240740741 | | 254 | 292.3 | 328.477268518519 | 274.091666666667 | 54.3856018518519 | -36.1772685185185 | | 255 | 274.7 | 306.842962962963 | 275.9625 | 30.8804629629630 | -32.142962962963 | | 256 | 254.2 | 269.222546296296 | 278.8 | -9.57745370370371 | -15.0225462962963 | | 257 | 230 | 250.227407407407 | 280.733333333333 | -30.5059259259259 | -20.2274074074074 | | 258 | 339 | 324.504907407407 | 282.1625 | 42.3424074074074 | 14.4950925925926 | | 259 | 318.2 | 302.070740740741 | 285.245833333333 | 16.8249074074074 | 16.1292592592592 | | 260 | 287 | 276.241574074074 | 291.0875 | -14.8459259259259 | 10.7584259259260 | | 261 | 295.8 | 265.670601851852 | 298.825 | -33.1543981481481 | 30.1293981481481 | | 262 | 284 | 258.165879629630 | 307.141666666667 | -48.975787037037 | 25.8341203703704 | | 263 | 271 | 288.200324074074 | 315.866666666667 | -27.6663425925926 | -17.200324074074 | | 264 | 262.7 | 299.253796296296 | 325.7125 | -26.4587037037037 | -36.5537962962963 | | 265 | 340.6 | 383.326157407407 | 336.575 | 46.7511574074074 | -42.7261574074074 | | 266 | 379.4 | 402.118935185185 | 347.733333333333 | 54.3856018518519 | -22.7189351851851 | | 267 | 373.3 | 389.797129629630 | 358.916666666667 | 30.8804629629630 | -16.4971296296296 | | 268 | 355.2 | 360.810046296296 | 370.3875 | -9.57745370370371 | -5.61004629629622 | | 269 | 338.4 | 353.698240740741 | 384.204166666667 | -30.5059259259259 | -15.2982407407408 | | 270 | 466.9 | 442.821574074074 | 400.479166666667 | 42.3424074074074 | 24.0784259259259 | | 271 | 451 | 434.041574074074 | 417.216666666667 | 16.8249074074074 | 16.9584259259259 | | 272 | 422 | 417.604074074074 | 432.45 | -14.8459259259259 | 4.39592592592584 | | 273 | 429.2 | 412.170601851852 | 445.325 | -33.1543981481481 | 17.0293981481481 | | 274 | 425.9 | 407.115879629630 | 456.091666666667 | -48.975787037037 | 18.7841203703704 | | 275 | 460.7 | 437.391990740741 | 465.058333333333 | -27.6663425925926 | 23.3080092592593 | | 276 | 463.6 | 446.228796296296 | 472.6875 | -26.4587037037037 | 17.3712037037038 | | 277 | 541.4 | 526.276157407407 | 479.525 | 46.7511574074074 | 15.1238425925926 | | 278 | 544.2 | 540.831435185185 | 486.445833333333 | 54.3856018518519 | 3.36856481481487 | | 279 | 517.5 | 523.113796296296 | 492.233333333333 | 30.8804629629630 | -5.6137962962963 | | 280 | 469.4 | 486.235046296296 | 495.8125 | -9.57745370370371 | -16.8350462962963 | | 281 | 439.4 | 467.469074074074 | 497.975 | -30.5059259259259 | -28.0690740740741 | | 282 | 549 | 541.429907407407 | 499.0875 | 42.3424074074074 | 7.57009259259257 | | 283 | 533 | 516.295740740741 | 499.470833333333 | 16.8249074074074 | 16.7042592592592 | | 284 | 506.1 | 484.637407407407 | 499.483333333333 | -14.8459259259259 | 21.4625925925926 | | 285 | 484 | 466.370601851852 | 499.525 | -33.1543981481481 | 17.6293981481481 | | 286 | 457 | 450.728379629630 | 499.704166666667 | -48.975787037037 | 6.27162037037039 | | 287 | 481.5 | 471.841990740741 | 499.508333333333 | -27.6663425925926 | 9.6580092592593 | | 288 | 469.5 | 472.57462962963 | 499.033333333333 | -26.4587037037037 | -3.07462962962961 | | 289 | 544.7 | 544.863657407407 | 498.1125 | 46.7511574074074 | -0.163657407407300 | | 290 | 541.2 | 550.993935185185 | 496.608333333333 | 54.3856018518519 | -9.79393518518503 | | 291 | 521.5 | 525.880462962963 | 495 | 30.8804629629630 | -4.38046296296289 | | 292 | 469.7 | 484.247546296296 | 493.825 | -9.57745370370371 | -14.5475462962963 | | 293 | 434.4 | 460.614907407407 | 491.120833333333 | -30.5059259259259 | -26.2149074074074 | | 294 | 542.6 | 528.763240740741 | 486.420833333333 | 42.3424074074074 | 13.8367592592594 | | 295 | 517.3 | 497.616574074074 | 480.791666666667 | 16.8249074074074 | 19.6834259259259 | | 296 | 485.7 | 460.366574074074 | 475.2125 | -14.8459259259259 | 25.3334259259260 | | 297 | 465.8 | 436.766435185185 | 469.920833333333 | -33.1543981481481 | 29.0335648148148 | | 298 | 447 | 415.836712962963 | 464.8125 | -48.975787037037 | 31.163287037037 | | 299 | 426.6 | 432.696157407407 | 460.3625 | -27.6663425925926 | -6.09615740740742 | | 300 | 411.6 | 429.220462962963 | 455.679166666667 | -26.4587037037037 | -17.6204629629630 | | 301 | 467.5 | 497.421990740741 | 450.670833333333 | 46.7511574074074 | -29.9219907407407 | | 302 | 484.5 | 499.756435185185 | 445.370833333333 | 54.3856018518519 | -15.2564351851852 | | 303 | 451.2 | 471.492962962963 | 440.6125 | 30.8804629629630 | -20.2929629629629 | | 304 | 417.4 | 426.035046296296 | 435.6125 | -9.57745370370371 | -8.63504629629631 | | 305 | 379.9 | 401.285740740741 | 431.791666666667 | -30.5059259259259 | -21.3857407407407 | | 306 | 484.7 | 473.017407407407 | 430.675 | 42.3424074074074 | 11.6825925925927 | | 307 | 455 | 448.645740740741 | 431.820833333333 | 16.8249074074074 | 6.35425925925932 | | 308 | 420.8 | 419.591574074074 | 434.4375 | -14.8459259259259 | 1.20842592592589 | | 309 | 416.5 | 403.524768518518 | 436.679166666667 | -33.1543981481481 | 12.9752314814815 | | 310 | 376.3 | 389.245046296296 | 438.220833333333 | -48.975787037037 | -12.9450462962963 | | 311 | 405.6 | 412.521157407407 | 440.1875 | -27.6663425925926 | -6.92115740740735 | | 312 | 405.8 | 417.38712962963 | 443.845833333333 | -26.4587037037037 | -11.5871296296297 | | 313 | 500.8 | 495.776157407407 | 449.025 | 46.7511574074074 | 5.02384259259264 | | 314 | 514 | 509.189768518519 | 454.804166666667 | 54.3856018518519 | 4.81023148148148 | | 315 | 475.5 | 492.826296296296 | 461.945833333333 | 30.8804629629630 | -17.3262962962963 | | 316 | 430.1 | 462.026712962963 | 471.604166666667 | -9.57745370370371 | -31.9267129629629 | | 317 | 414.4 | 453.223240740741 | 483.729166666667 | -30.5059259259259 | -38.8232407407407 | | 318 | 538 | 541.392407407407 | 499.05 | 42.3424074074074 | -3.39240740740735 | | 319 | 526 | 537.624907407407 | 520.8 | 16.8249074074074 | -11.6249074074074 | | 320 | 488.5 | 532.374907407407 | 547.220833333333 | -14.8459259259259 | -43.8749074074074 | | 321 | 520.2 | 542.287268518518 | 575.441666666667 | -33.1543981481481 | -22.0872685185184 | | 322 | 504.4 | 556.145046296296 | 605.120833333333 | -48.975787037037 | -51.7450462962962 | | 323 | 568.5 | 606.612824074074 | 634.279166666667 | -27.6663425925926 | -38.1128240740741 | | 324 | 610.6 | 635.603796296296 | 662.0625 | -26.4587037037037 | -25.0037962962963 | | 325 | 818 | 734.388657407407 | 687.6375 | 46.7511574074074 | 83.6113425925927 | | 326 | 830.9 | 766.023101851852 | 711.6375 | 54.3856018518519 | 64.8768981481483 | | 327 | 835.9 | 763.89712962963 | 733.016666666667 | 30.8804629629630 | 72.0028703703705 | | 328 | 782 | 742.272546296296 | 751.85 | -9.57745370370371 | 39.7274537037038 | | 329 | 762.3 | 736.952407407407 | 767.458333333333 | -30.5059259259259 | 25.3475925925927 | | 330 | 856.9 | 820.779907407407 | 778.4375 | 42.3424074074074 | 36.1200925925926 | | 331 | 820.9 | 799.774907407407 | 782.95 | 16.8249074074074 | 21.1250925925926 | | 332 | 769.6 | 766.929074074074 | 781.775 | -14.8459259259259 | 2.67092592592621 | | 333 | 752.2 | 743.995601851852 | 777.15 | -33.1543981481481 | 8.20439814814836 | | 334 | 724.4 | 720.824212962963 | 769.8 | -48.975787037037 | 3.57578703703712 | | 335 | 723.1 | 732.762824074074 | 760.429166666667 | -27.6663425925926 | -9.66282407407402 | | 336 | 719.5 | 724.666296296296 | 751.125 | -26.4587037037037 | -5.1662962962962 | | 337 | 817.4 | 791.43449074074 | 744.683333333333 | 46.7511574074074 | 25.9655092592593 | | 338 | 803.3 | 794.877268518518 | 740.491666666667 | 54.3856018518519 | 8.4227314814815 | | 339 | 752.5 | 767.74712962963 | 736.866666666667 | 30.8804629629630 | -15.2471296296296 | | 340 | 689 | 723.510046296296 | 733.0875 | -9.57745370370371 | -34.5100462962964 | | 341 | 630.4 | 700.302407407408 | 730.808333333334 | -30.5059259259259 | -69.9024074074076 | | 342 | 765.5 | 771.863240740741 | 729.520833333333 | 42.3424074074074 | -6.36324074074071 | | 343 | 757.7 | 744.266574074074 | 727.441666666666 | 16.8249074074074 | 13.4334259259261 | | 344 | 732.2 | 711.554074074074 | 726.4 | -14.8459259259259 | 20.6459259259261 | | 345 | 702.6 | 693.691435185185 | 726.845833333333 | -33.1543981481481 | 8.908564814815 | | 346 | 683.3 | 676.657546296296 | 725.633333333333 | -48.975787037037 | 6.64245370370372 | | 347 | 709.5 | 695.987824074074 | 723.654166666667 | -27.6663425925926 | 13.5121759259260 | | 348 | 702.2 | 695.716296296296 | 722.175 | -26.4587037037037 | 6.48370370370378 | | 349 | 784.8 | 765.43449074074 | 718.683333333333 | 46.7511574074074 | 19.3655092592594 | | 350 | 810.9 | 768.064768518518 | 713.679166666666 | 54.3856018518519 | 42.8352314814816 | | 351 | 755.6 | 739.751296296296 | 708.870833333333 | 30.8804629629630 | 15.8487037037038 | | 352 | 656.8 | 694.289212962963 | 703.866666666667 | -9.57745370370371 | -37.4892129629631 | | 353 | 615.1 | 667.689907407407 | 698.195833333333 | -30.5059259259259 | -52.5899074074074 | | 354 | 745.3 | 732.659074074074 | 690.316666666667 | 42.3424074074074 | 12.6409259259259 | | 355 | 694.1 | 698.420740740741 | 681.595833333334 | 16.8249074074074 | -4.32074074074092 | | 356 | 675.7 | 657.079074074074 | 671.925 | -14.8459259259259 | 18.6209259259259 | | 357 | 643.7 | 628.574768518518 | 661.729166666667 | -33.1543981481481 | 15.1252314814816 | | 358 | 622.1 | 604.599212962963 | 653.575 | -48.975787037037 | 17.5007870370372 | | 359 | 634.6 | 619.350324074074 | 647.016666666667 | -27.6663425925926 | 15.249675925926 | | 360 | 588 | 612.970462962963 | 639.429166666667 | -26.4587037037037 | -24.970462962963 | | 361 | 689.7 | 679.388657407407 | 632.6375 | 46.7511574074074 | 10.3113425925926 | | 362 | 673.9 | 681.485601851852 | 627.1 | 54.3856018518519 | -7.58560185185195 | | 363 | 647.9 | 651.87212962963 | 620.991666666667 | 30.8804629629630 | -3.97212962962965 | | 364 | 568.8 | 605.576712962963 | 615.154166666667 | -9.57745370370371 | -36.7767129629631 | | 365 | 545.7 | 578.489907407407 | 608.995833333333 | -30.5059259259259 | -32.7899074074074 | | 366 | 632.6 | 647.704907407407 | 605.3625 | 42.3424074074074 | -15.1049074074074 | | 367 | 643.8 | NA | NA | 16.8249074074074 | NA | | 368 | 593.1 | NA | NA | -14.8459259259259 | NA | | 369 | 579.7 | NA | NA | -33.1543981481481 | NA | | 370 | 546 | NA | NA | -48.975787037037 | NA | | 371 | 562.9 | NA | NA | -27.6663425925926 | NA | | 372 | 572.5 | NA | NA | -26.4587037037037 | NA |
| | | | Charts produced by software: |  | | http://www.freestatistics.org/blog/date/2010/Nov/29/t1291024752wotaj01ye5jzwrk/1x6px1291024798.png (open in new window) | | http://www.freestatistics.org/blog/date/2010/Nov/29/t1291024752wotaj01ye5jzwrk/1x6px1291024798.ps (open in new window) |
 | | http://www.freestatistics.org/blog/date/2010/Nov/29/t1291024752wotaj01ye5jzwrk/2x6px1291024798.png (open in new window) | | http://www.freestatistics.org/blog/date/2010/Nov/29/t1291024752wotaj01ye5jzwrk/2x6px1291024798.ps (open in new window) |
 | | http://www.freestatistics.org/blog/date/2010/Nov/29/t1291024752wotaj01ye5jzwrk/38gpi1291024798.png (open in new window) | | http://www.freestatistics.org/blog/date/2010/Nov/29/t1291024752wotaj01ye5jzwrk/38gpi1291024798.ps (open in new window) |
 | | http://www.freestatistics.org/blog/date/2010/Nov/29/t1291024752wotaj01ye5jzwrk/48gpi1291024798.png (open in new window) | | http://www.freestatistics.org/blog/date/2010/Nov/29/t1291024752wotaj01ye5jzwrk/48gpi1291024798.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$trend)) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
a<-table.element(a,m$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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