@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/2009/Nov/27/t12593339502irmkx8mmb4bpes.htm/},
year = {2009},
}
@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 = {2009},
note = {{ISBN} 3-900051-07-0},
url = {http://www.R-project.org},
}
|
Classical Decomposition by Moving Averages | t | Observations | Fit | Trend | Seasonal | Random | 1 | 235.1 | NA | NA | 1.12478036463889 | NA | 2 | 280.7 | NA | NA | 1.14434096703054 | NA | 3 | 264.6 | NA | NA | 1.08034073104924 | NA | 4 | 240.7 | NA | NA | 0.979030802194402 | NA | 5 | 201.4 | NA | NA | 0.925484201792753 | NA | 6 | 240.8 | NA | NA | 1.11361515899907 | NA | 7 | 241.1 | 241.129916299572 | 230.416666666667 | 1.04649511594751 | 0.999875932857974 | 8 | 223.8 | 225.596343447582 | 235.879166666667 | 0.956406395001318 | 0.992037355658652 | 9 | 206.1 | 219.614781810963 | 241.729166666667 | 0.908515860288394 | 0.938461420039584 | 10 | 174.7 | 214.609970790079 | 248.425 | 0.863882341914377 | 0.814034871524599 | 11 | 203.3 | 239.412379081157 | 258.308333333333 | 0.926847291342352 | 0.8491624400553 | 12 | 220.5 | 252.154933827686 | 271.058333333333 | 0.930260769801161 | 0.874462365867018 | 13 | 299.5 | 321.448168459236 | 285.7875 | 1.12478036463889 | 0.931720972110565 | 14 | 347.4 | 344.656426920148 | 301.183333333333 | 1.14434096703054 | 1.00796031312797 | 15 | 338.3 | 340.199296207404 | 314.9 | 1.08034073104924 | 0.994417107182238 | 16 | 327.7 | 323.04345106907 | 329.9625 | 0.979030802194402 | 1.01441462105336 | 17 | 351.6 | 319.172507909102 | 344.870833333333 | 0.925484201792753 | 1.10159863800091 | 18 | 396.6 | 398.075658773705 | 357.4625 | 1.11361515899907 | 0.9962930193264 | 19 | 438.8 | 387.765684025401 | 370.5375 | 1.04649511594751 | 1.13161122316140 | 20 | 395.6 | 366.219963725942 | 382.9125 | 0.956406395001318 | 1.08022510836150 | 21 | 363.5 | 356.38805909463 | 392.275 | 0.908515860288394 | 1.01995560940913 | 22 | 378.8 | 343.623599535475 | 397.766666666667 | 0.863882341914377 | 1.10236898895209 | 23 | 357 | 369.190309187656 | 398.329166666667 | 0.926847291342352 | 0.966980961080807 | 24 | 369 | 367.960771408308 | 395.545833333333 | 0.930260769801161 | 1.0028242918062 | 25 | 464.8 | 437.933234972151 | 389.35 | 1.12478036463889 | 1.06134899770637 | 26 | 479.1 | 434.034224532596 | 379.2875 | 1.14434096703054 | 1.10383000445630 | 27 | 431.3 | 398.560202782626 | 368.920833333333 | 1.08034073104924 | 1.08214517402589 | 28 | 366.5 | 349.444648368246 | 356.929166666667 | 0.979030802194402 | 1.04880701911274 | 29 | 326.3 | 318.968130147872 | 344.65 | 0.925484201792753 | 1.02298621448083 | 30 | 355.1 | 372.230506958602 | 334.254166666667 | 1.11361515899907 | 0.95397876681691 | 31 | 331.6 | 335.493252983823 | 320.5875 | 1.04649511594751 | 0.98839543582711 | 32 | 261.3 | 289.667601859378 | 302.870833333333 | 0.956406395001318 | 0.902068434035127 | 33 | 249 | 259.101152388748 | 285.191666666667 | 0.908515860288394 | 0.96101463735062 | 34 | 205.5 | 232.992667124065 | 269.704166666667 | 0.863882341914377 | 0.88200200691541 | 35 | 235.6 | 237.539375179903 | 256.2875 | 0.926847291342352 | 0.991835563352669 | 36 | 240.9 | 227.127043033494 | 244.154166666667 | 0.930260769801161 | 1.06063988146262 | 37 | 264.9 | 262.139437148798 | 233.058333333333 | 1.12478036463889 | 1.01053089485973 | 38 | 253.8 | 256.918851360444 | 224.5125 | 1.14434096703054 | 0.987860558522938 | 39 | 232.3 | 236.198495165064 | 218.633333333333 | 1.08034073104924 | 0.983494834874625 | 40 | 193.8 | 210.357005736495 | 214.8625 | 0.979030802194402 | 0.921290923121263 | 41 | 177 | 196.279774463546 | 212.083333333333 | 0.925484201792753 | 0.90177401356691 | 42 | 213.2 | 231.636593134969 | 208.004166666667 | 1.11361515899907 | 0.920407251352439 | 43 | 207.2 | 213.297506611685 | 203.820833333333 | 1.04649511594751 | 0.971413136944045 | 44 | 180.6 | 192.588367740099 | 201.366666666667 | 0.956406395001318 | 0.937751340432579 | 45 | 188.6 | 180.980144852199 | 199.204166666667 | 0.908515860288394 | 1.04210326582523 | 46 | 175.4 | 170.566369391478 | 197.441666666667 | 0.863882341914377 | 1.02833870842046 | 47 | 199 | 182.650706213866 | 197.066666666667 | 0.926847291342352 | 1.08951125415847 | 48 | 179.6 | 182.982293419888 | 196.7 | 0.930260769801161 | 0.981515733808588 | 49 | 225.8 | 220.836564842287 | 196.3375 | 1.12478036463889 | 1.02247560389855 | 50 | 234 | 225.273055534687 | 196.858333333333 | 1.14434096703054 | 1.03873940647096 | 51 | 200.2 | 212.467010439683 | 196.666666666667 | 1.08034073104924 | 0.942263928812773 | 52 | 183.6 | 190.780468987616 | 194.866666666667 | 0.979030802194402 | 0.962362662039153 | 53 | 178.2 | 177.762378059343 | 192.075 | 0.925484201792753 | 1.00246183666890 | 54 | 203.2 | 210.895510798611 | 189.379166666667 | 1.11361515899907 | 0.96351031480248 | 55 | 208.5 | 196.540503567575 | 187.808333333333 | 1.04649511594751 | 1.06085003454930 | 56 | 191.8 | 177.620607658328 | 185.716666666667 | 0.956406395001318 | 1.07982965787927 | 57 | 172.8 | 166.644521673399 | 183.425 | 0.908515860288394 | 1.03693777788066 | 58 | 148 | 157.572139165182 | 182.4 | 0.863882341914377 | 0.939252337272975 | 59 | 159.4 | 167.828873279816 | 181.075 | 0.926847291342352 | 0.949776977494432 | 60 | 154.5 | 166.330625640448 | 178.8 | 0.930260769801161 | 0.928872836286797 | 61 | 213.2 | 197.947284421886 | 175.9875 | 1.12478036463889 | 1.07705443205579 | 62 | 196.4 | 197.665829705075 | 172.733333333333 | 1.14434096703054 | 0.993596112656579 | 63 | 182.8 | 184.292624457861 | 170.5875 | 1.08034073104924 | 0.991900791134467 | 64 | 176.4 | 166.941068954182 | 170.516666666667 | 0.979030802194402 | 1.05666029997935 | 65 | 153.6 | 159.796415992041 | 172.6625 | 0.925484201792753 | 0.9612230602697 | 66 | 173.2 | 198.042535838497 | 177.8375 | 1.11361515899907 | 0.874559595324733 | 67 | 171 | 195.908246101691 | 187.204166666667 | 1.04649511594751 | 0.872857592279391 | 68 | 151.2 | 192.783634045745 | 201.570833333333 | 0.956406395001318 | 0.784298940874423 | 69 | 161.9 | 199.135320126962 | 219.1875 | 0.908515860288394 | 0.813014988485105 | 70 | 157.2 | 204.797707189835 | 237.066666666667 | 0.863882341914377 | 0.767586718411282 | 71 | 201.7 | 235.959872920907 | 254.583333333333 | 0.926847291342352 | 0.854806359671202 | 72 | 236.4 | 252.608435952964 | 271.545833333333 | 0.930260769801161 | 0.93583572974585 | 73 | 356.1 | 323.791460885567 | 287.870833333333 | 1.12478036463889 | 1.09978193688638 | 74 | 398.3 | 348.146666869591 | 304.233333333333 | 1.14434096703054 | 1.14405805915469 | 75 | 403.7 | 345.655016899203 | 319.95 | 1.08034073104924 | 1.16792750072458 | 76 | 384.6 | 326.176349636092 | 333.1625 | 0.979030802194402 | 1.17911675824777 | 77 | 365.8 | 317.803562527283 | 343.391666666667 | 0.925484201792753 | 1.15102548596697 | 78 | 368.1 | 390.493795566186 | 350.654166666667 | 1.11361515899907 | 0.942652621320866 | 79 | 367.9 | 370.241251229597 | 353.791666666667 | 1.04649511594751 | 0.99367641714201 | 80 | 347 | 337.149194344548 | 352.516666666667 | 0.956406395001318 | 1.02921794214755 | 81 | 343.3 | 315.898535587777 | 347.708333333333 | 0.908515860288394 | 1.08674134674679 | 82 | 292.9 | 295.253387407786 | 341.775 | 0.863882341914377 | 0.992029261955475 | 83 | 311.5 | 310.393434143126 | 334.891666666667 | 0.926847291342352 | 1.00356504273336 | 84 | 300.9 | 304.730171667615 | 327.575 | 0.930260769801161 | 0.987430940472173 | 85 | 366.9 | 359.990642287528 | 320.054166666667 | 1.12478036463889 | 1.01919315921260 | 86 | 356.9 | 356.948556141001 | 311.925 | 1.14434096703054 | 0.9998639687984 | 87 | 329.7 | 327.851901935454 | 303.470833333333 | 1.08034073104924 | 1.00563699052418 | 88 | 316.2 | 290.009320085027 | 296.220833333333 | 0.979030802194402 | 1.09030978696579 | 89 | 269 | 269.427732062741 | 291.120833333333 | 0.925484201792753 | 0.99841244232928 | 90 | 289.3 | 319.616830759058 | 287.008333333333 | 1.11361515899907 | 0.905146325720524 | 91 | 266.2 | 295.944458393640 | 282.795833333333 | 1.04649511594751 | 0.899493105716221 | 92 | 253.6 | 266.163914702221 | 278.295833333333 | 0.956406395001318 | 0.952796325842001 | 93 | 233.8 | 250.265835647443 | 275.466666666667 | 0.908515860288394 | 0.934206618315099 | 94 | 228.4 | 235.616709737630 | 272.741666666667 | 0.863882341914377 | 0.969370976508132 | 95 | 253.6 | 251.465255732322 | 271.3125 | 0.926847291342352 | 1.00848922154856 | 96 | 260.1 | 253.922429290309 | 272.958333333333 | 0.930260769801161 | 1.02432857438769 | 97 | 306.6 | 309.867617288308 | 275.491666666667 | 1.12478036463889 | 0.989454795835385 | 98 | 309.2 | 316.462726344933 | 276.545833333333 | 1.14434096703054 | 0.977050294583454 | 99 | 309.5 | 298.160537510451 | 275.9875 | 1.08034073104924 | 1.03803139940728 | 100 | 271 | 269.147805408268 | 274.9125 | 0.979030802194402 | 1.00688170051739 | 101 | 279.9 | 253.925871682712 | 274.370833333333 | 0.925484201792753 | 1.10229020046348 | 102 | 317.9 | 306.109606893032 | 274.879166666667 | 1.11361515899907 | 1.03851689996482 | 103 | 298.4 | 288.527424259362 | 275.708333333333 | 1.04649511594751 | 1.03421711390514 | 104 | 246.7 | 264.219221699052 | 276.2625 | 0.956406395001318 | 0.933694370960618 | 105 | 227.3 | 249.928927682586 | 275.095833333333 | 0.908515860288394 | 0.909458549306765 | 106 | 209.1 | 236.369007277048 | 273.6125 | 0.863882341914377 | 0.884633744537051 | 107 | 259.9 | 252.643124165069 | 272.583333333333 | 0.926847291342352 | 1.02872382083982 | 108 | 266 | 252.751851154975 | 271.7 | 0.930260769801161 | 1.05241563527423 | 109 | 320.6 | 304.717060535232 | 270.9125 | 1.12478036463889 | 1.05212356484691 | 110 | 308.5 | 309.625289066926 | 270.570833333333 | 1.14434096703054 | 0.99636564225643 | 111 | 282.2 | 293.609602180906 | 271.775 | 1.08034073104924 | 0.961140228057405 | 112 | 262.7 | 268.539990451906 | 274.291666666667 | 0.979030802194402 | 0.978252809043158 | 113 | 263.5 | 257.330882308475 | 278.05 | 0.925484201792753 | 1.02397348361838 | 114 | 313.1 | 315.208770754687 | 283.05 | 1.11361515899907 | 0.99330992361146 | 115 | 284.3 | 304.626007459688 | 291.091666666667 | 1.04649511594751 | 0.933275534714883 | 116 | 252.6 | 291.508684169756 | 304.795833333333 | 0.956406395001318 | 0.866526500640722 | 117 | 250.3 | 293.431695459395 | 322.979166666667 | 0.908515860288394 | 0.85300941879551 | 118 | 246.5 | 296.185660435102 | 342.854166666667 | 0.863882341914377 | 0.832248258196859 | 119 | 312.7 | 335.669332150775 | 362.1625 | 0.926847291342352 | 0.931571549883332 | 120 | 333.2 | 353.530101216768 | 380.033333333333 | 0.930260769801161 | 0.942494002217077 | 121 | 446.4 | 447.82661559612 | 398.145833333333 | 1.12478036463889 | 0.996814357283742 | 122 | 511.6 | 476.289014740198 | 416.2125 | 1.14434096703054 | 1.07413772765484 | 123 | 515.5 | 466.018478597226 | 431.3625 | 1.08034073104924 | 1.10617931192711 | 124 | 506.4 | 433.902372237550 | 443.195833333333 | 0.979030802194402 | 1.16708281033034 | 125 | 483.2 | 417.663307900721 | 451.291666666667 | 0.925484201792753 | 1.15691273535299 | 126 | 522.3 | 509.033489178475 | 457.1 | 1.11361515899907 | 1.02606215721275 | 127 | 509.8 | 482.495294000233 | 461.058333333333 | 1.04649511594751 | 1.05659061619729 | 128 | 460.7 | 440.146193032898 | 460.208333333333 | 0.956406395001318 | 1.04669768202577 | 129 | 405.8 | 413.280079362439 | 454.895833333333 | 0.908515860288394 | 0.981900701882417 | 130 | 375 | 384.470836268994 | 445.05 | 0.863882341914377 | 0.97536656782371 | 131 | 378.5 | 400.865315369281 | 432.504166666667 | 0.926847291342352 | 0.944207407047233 | 132 | 406.8 | 390.914955903152 | 420.220833333333 | 0.930260769801161 | 1.04063554964314 | 133 | 467.8 | 458.896329018108 | 407.9875 | 1.12478036463889 | 1.01940235826454 | 134 | 469.8 | 453.750265777059 | 396.516666666667 | 1.14434096703054 | 1.03537129437369 | 135 | 429.8 | 418.816591489800 | 387.670833333333 | 1.08034073104924 | 1.02622486485344 | 136 | 355.8 | 373.904101243069 | 381.9125 | 0.979030802194402 | 0.95158089685863 | 137 | 332.7 | 350.878054188852 | 379.129166666667 | 0.925484201792753 | 0.948192672719658 | 138 | 378 | 418.974503257587 | 376.229166666667 | 1.11361515899907 | 0.902202871680723 | 139 | 360.5 | 388.899387067677 | 371.620833333333 | 1.04649511594751 | 0.926974976016778 | 140 | 334.7 | 349.957069984274 | 365.908333333333 | 0.956406395001318 | 0.95640302399103 | 141 | 319.5 | 328.852457562389 | 361.966666666667 | 0.908515860288394 | 0.971560323338576 | 142 | 323.1 | 312.390653365513 | 361.6125 | 0.863882341914377 | 1.03428190478528 | 143 | 363.6 | 335.553476239357 | 362.0375 | 0.926847291342352 | 1.08358287351086 | 144 | 352.1 | 338.514141957561 | 363.891666666667 | 0.930260769801161 | 1.04013379755385 | 145 | 411.9 | 412.442899958522 | 366.6875 | 1.12478036463889 | 0.99868369668001 | 146 | 388.6 | 422.68140852218 | 369.366666666667 | 1.14434096703054 | 0.91936856498766 | 147 | 416.4 | 401.220541832835 | 371.383333333333 | 1.08034073104924 | 1.03783320290089 | 148 | 360.7 | 365.333502428859 | 373.158333333333 | 0.979030802194402 | 0.98731706126579 | 149 | 338 | 347.808531586239 | 375.8125 | 0.925484201792753 | 0.971799048339885 | 150 | 417.2 | 424.449777789333 | 381.145833333333 | 1.11361515899907 | 0.982919586323989 | 151 | 388.4 | 408.307511072187 | 390.166666666667 | 1.04649511594751 | 0.95124382840788 | 152 | 371.1 | 385.049214627531 | 402.6 | 0.956406395001318 | 0.963772904611624 | 153 | 331.5 | 377.227141639995 | 415.2125 | 0.908515860288394 | 0.87878088135123 | 154 | 353.7 | 367.833902167626 | 425.791666666667 | 0.863882341914377 | 0.961575314063398 | 155 | 396.7 | 404.57270453465 | 436.504166666667 | 0.926847291342352 | 0.980540692818845 | 156 | 447 | 415.489344572066 | 446.6375 | 0.930260769801161 | 1.07583986410142 | 157 | 533.5 | 512.763935314605 | 455.879166666667 | 1.12478036463889 | 1.04043978770206 | 158 | 565.4 | 530.292372209315 | 463.404166666667 | 1.14434096703054 | 1.06620428584409 | 159 | 542.3 | 507.152451931925 | 469.4375 | 1.08034073104924 | 1.06930371318168 | 160 | 488.7 | 463.856635489689 | 473.791666666667 | 0.979030802194402 | 1.05355828204135 | 161 | 467.1 | 439.643557693299 | 475.041666666667 | 0.925484201792753 | 1.06245159704093 | 162 | 531.3 | 526.902372417247 | 473.145833333333 | 1.11361515899907 | 1.00834619051453 | 163 | 496.1 | 490.160870724548 | 468.383333333333 | 1.04649511594751 | 1.01211669398798 | 164 | 444 | 440.445070031336 | 460.520833333333 | 0.956406395001318 | 1.00807122206729 | 165 | 403.4 | 409.78607878308 | 451.05 | 0.908515860288394 | 0.984416067031743 | 166 | 386.3 | 382.008771594538 | 442.2 | 0.863882341914377 | 1.01123332427041 | 167 | 394.1 | 403.120643778214 | 434.9375 | 0.926847291342352 | 0.97762296742318 | 168 | 404.1 | 397.577948666853 | 427.383333333333 | 0.930260769801161 | 1.01640445944001 | 169 | 462.1 | 470.280043625224 | 418.108333333333 | 1.12478036463889 | 0.982606015849266 | 170 | 448.1 | 470.209703352849 | 410.9 | 1.14434096703054 | 0.952979057651948 | 171 | 432.3 | 438.613835386277 | 405.995833333333 | 1.08034073104924 | 0.985605024563996 | 172 | 386.3 | 392.554638024873 | 400.9625 | 0.979030802194402 | 0.984066834475978 | 173 | 395.2 | 367.829839818356 | 397.445833333333 | 0.925484201792753 | 1.07440984177673 | 174 | 421.9 | 440.300233552420 | 395.379166666667 | 1.11361515899907 | 0.95820980287936 | 175 | 382.9 | 412.563257877040 | 394.233333333333 | 1.04649511594751 | 0.92810009783789 | 176 | 384.2 | 378.621366647793 | 395.879166666667 | 0.956406395001318 | 1.01473406902943 | 177 | 345.5 | 361.58552691203 | 397.995833333333 | 0.908515860288394 | 0.955513908287753 | 178 | 323.4 | 344.7178505019 | 399.033333333333 | 0.863882341914377 | 0.93815855352178 | 179 | 372.6 | 370.333420846978 | 399.5625 | 0.926847291342352 | 1.00612037430442 | 180 | 376 | 372.984179565235 | 400.945833333333 | 0.930260769801161 | 1.00808565242172 | 181 | 462.7 | 454.003534431929 | 403.6375 | 1.12478036463889 | 1.01915506137844 | 182 | 487 | 462.966978649018 | 404.570833333333 | 1.14434096703054 | 1.05191087584932 | 183 | 444.2 | 436.750247625217 | 404.270833333333 | 1.08034073104924 | 1.01705723675096 | 184 | 399.3 | 396.507474888733 | 405 | 0.979030802194402 | 1.00704280571773 | 185 | 394.9 | 375.947107504913 | 406.216666666667 | 0.925484201792753 | 1.05041372075150 | 186 | 455.4 | 453.111447944071 | 406.883333333333 | 1.11361515899907 | 1.00505074869839 | 187 | 414 | 425.448228992144 | 406.545833333333 | 1.04649511594751 | 0.973091369967001 | 188 | 375.5 | 386.758791058596 | 404.3875 | 0.956406395001318 | 0.9708893726041 | 189 | 347 | 365.022745250121 | 401.779166666667 | 0.908515860288394 | 0.95062569255028 | 190 | 339.4 | 345.725713234134 | 400.2 | 0.863882341914377 | 0.981703087181572 | 191 | 385.8 | 368.67281944999 | 397.770833333333 | 0.926847291342352 | 1.04645631477678 | 192 | 378.8 | 368.007284446799 | 395.595833333333 | 0.930260769801161 | 1.0293274508667 | 193 | 451.8 | 442.305818639684 | 393.2375 | 1.12478036463889 | 1.02146519661332 | 194 | 446.1 | 446.807930577074 | 390.45 | 1.14434096703054 | 0.998415581889605 | 195 | 422.5 | 419.964453516539 | 388.733333333333 | 1.08034073104924 | 1.00603752641975 | 196 | 383.1 | 378.933871989343 | 387.05 | 0.979030802194402 | 1.01099434048686 | 197 | 352.8 | 355.370508751721 | 383.983333333333 | 0.925484201792753 | 0.9927666795966 | 198 | 445.3 | 423.345442756659 | 380.154166666667 | 1.11361515899907 | 1.05185967539979 | 199 | 367.5 | 393.660939845238 | 376.170833333333 | 1.04649511594751 | 0.933544486644971 | 200 | 355.1 | 356.321157537679 | 372.5625 | 0.956406395001318 | 0.996572873903651 | 201 | 326.2 | 335.393771756466 | 369.166666666667 | 0.908515860288394 | 0.972588126164903 | 202 | 319.8 | 315.802988616075 | 365.5625 | 0.863882341914377 | 1.01265666104504 | 203 | 331.8 | 336.298815936145 | 362.841666666667 | 0.926847291342352 | 0.98662256385405 | 204 | 340.9 | 334.785346705274 | 359.883333333333 | 0.930260769801161 | 1.01826439942758 | 205 | 394.1 | 401.780919418716 | 357.208333333333 | 1.12478036463889 | 0.980882816859924 | 206 | 417.2 | 405.754698384854 | 354.575 | 1.14434096703054 | 1.02820744075350 | 207 | 369.9 | 379.433670423342 | 351.216666666667 | 1.08034073104924 | 0.974873947236403 | 208 | 349.2 | 340.143855747399 | 347.429166666667 | 0.979030802194402 | 1.02662445344692 | 209 | 321.4 | 317.99637173599 | 343.6 | 0.925484201792753 | 1.01070335565601 | 210 | 405.7 | 377.761462248297 | 339.220833333333 | 1.11361515899907 | 1.07395814698890 | 211 | 342.9 | 349.245942965900 | 333.729166666667 | 1.04649511594751 | 0.981829587161391 | 212 | 316.5 | 312.167062301784 | 326.395833333333 | 0.956406395001318 | 1.01388018859602 | 213 | 284.2 | 289.827915880251 | 319.0125 | 0.908515860288394 | 0.98058187092448 | 214 | 270.9 | 270.294386745977 | 312.883333333333 | 0.863882341914377 | 1.00224056911175 | 215 | 288.8 | 285.426485232591 | 307.954166666667 | 0.926847291342352 | 1.01181920719326 | 216 | 278.8 | 283.043467471626 | 304.2625 | 0.930260769801161 | 0.985007718038746 | 217 | 324.4 | 338.273008080293 | 300.745833333333 | 1.12478036463889 | 0.958988722869075 | 218 | 310.9 | 340.708450583893 | 297.733333333333 | 1.14434096703054 | 0.91251038671683 | 219 | 299 | 318.578977327281 | 294.8875 | 1.08034073104924 | 0.938542783043818 | 220 | 273 | 286.325716691771 | 292.458333333333 | 0.979030802194402 | 0.953459588451441 | 221 | 279.3 | 268.533097334341 | 290.154166666667 | 0.925484201792753 | 1.04009525370444 | 222 | 359.2 | 321.115571160544 | 288.354166666667 | 1.11361515899907 | 1.11860038023636 | 223 | 305 | 300.85426464596 | 287.4875 | 1.04649511594751 | 1.01377987896870 | 224 | 282.1 | 274.915033216483 | 287.445833333333 | 0.956406395001318 | 1.02613522694432 | 225 | 250.3 | 261.296732384445 | 287.608333333333 | 0.908515860288394 | 0.957914772664416 | 226 | 246.5 | 248.092610558777 | 287.183333333333 | 0.863882341914377 | 0.993580580432484 | 227 | 257.9 | 264.626487269383 | 285.5125 | 0.926847291342352 | 0.974581201833603 | 228 | 266.5 | 264.442128162143 | 284.266666666667 | 0.930260769801161 | 1.00778193645679 | 229 | 315.9 | 320.83891242839 | 285.245833333333 | 1.12478036463889 | 0.98460625492398 | 230 | 318.4 | 327.944280714140 | 286.579166666667 | 1.14434096703054 | 0.970896639229824 | 231 | 295.4 | 311.912374732765 | 288.716666666667 | 1.08034073104924 | 0.947060854039817 | 232 | 266.4 | 286.248210086597 | 292.379166666667 | 0.979030802194402 | 0.930660841230788 | 233 | 245.8 | 273.719665048555 | 295.758333333333 | 0.925484201792753 | 0.897999052996056 | 234 | 362.8 | 331.119547338886 | 297.3375 | 1.11361515899907 | 1.09567678174158 | 235 | 324.9 | 311.031429648550 | 297.2125 | 1.04649511594751 | 1.04458896763945 | 236 | 294.2 | 284.327666153954 | 297.2875 | 0.956406395001318 | 1.03472167861674 | 237 | 289.5 | 270.38567647008 | 297.6125 | 0.908515860288394 | 1.07069281102261 | 238 | 295.2 | 256.389480550913 | 296.7875 | 0.863882341914377 | 1.15137329100123 | 239 | 290.3 | 273.813861044814 | 295.425 | 0.926847291342352 | 1.06020929288341 | 240 | 272 | 274.174981466188 | 294.729166666667 | 0.930260769801161 | 0.992067177484405 | 241 | 307.4 | 331.294683234679 | 294.541666666667 | 1.12478036463889 | 0.927874836380176 | 242 | 328.7 | 336.092942016870 | 293.7 | 1.14434096703054 | 0.978003280960008 | 243 | 292.9 | 315.234422480741 | 291.791666666667 | 1.08034073104924 | 0.929149798093177 | 244 | 249.1 | 282.695144133633 | 288.75 | 0.979030802194402 | 0.881161226746249 | 245 | 230.4 | 264.268157637747 | 285.545833333333 | 0.925484201792753 | 0.871841700716087 | 246 | 361.5 | 315.069568859812 | 282.925 | 1.11361515899907 | 1.14736564787330 | 247 | 321.7 | 293.895072124909 | 280.8375 | 1.04649511594751 | 1.09460835009603 | 248 | 277.2 | 266.351210954575 | 278.491666666667 | 0.956406395001318 | 1.04073114218833 | 249 | 260.7 | 250.947222542659 | 276.216666666667 | 0.908515860288394 | 1.03886385893625 | 250 | 251 | 238.147165097488 | 275.670833333333 | 0.863882341914377 | 1.05397013605957 | 251 | 257.6 | 255.686272771643 | 275.866666666667 | 0.926847291342352 | 1.00748466942559 | 252 | 241.8 | 255.740313877962 | 274.9125 | 0.930260769801161 | 0.94549035438889 | 253 | 287.5 | 307.997669932096 | 273.829166666667 | 1.12478036463889 | 0.933448620125552 | 254 | 292.3 | 313.654322888346 | 274.091666666667 | 1.14434096703054 | 0.931917651599059 | 255 | 274.7 | 298.133528992175 | 275.9625 | 1.08034073104924 | 0.921399216413563 | 256 | 254.2 | 272.953787651799 | 278.8 | 0.979030802194402 | 0.931293176719999 | 257 | 230 | 259.814264916619 | 280.733333333333 | 0.925484201792753 | 0.885247775266739 | 258 | 339 | 314.220437301075 | 282.1625 | 1.11361515899907 | 1.07886044240713 | 259 | 318.2 | 298.508371427711 | 285.245833333333 | 1.04649511594751 | 1.06596675489571 | 260 | 287 | 278.397946504946 | 291.0875 | 0.956406395001318 | 1.03089840856603 | 261 | 295.8 | 271.487251950679 | 298.825 | 0.908515860288394 | 1.08955392149955 | 262 | 284 | 265.334262299485 | 307.141666666667 | 0.863882341914377 | 1.07034801136781 | 263 | 271 | 292.760164425337 | 315.866666666667 | 0.926847291342352 | 0.925672386241309 | 264 | 262.7 | 302.997560983861 | 325.7125 | 0.930260769801161 | 0.867003678666552 | 265 | 340.6 | 378.572951228333 | 336.575 | 1.12478036463889 | 0.899694494535004 | 266 | 379.4 | 397.925498935420 | 347.733333333333 | 1.14434096703054 | 0.953444805660906 | 267 | 373.3 | 387.752294052421 | 358.916666666667 | 1.08034073104924 | 0.96272802437510 | 268 | 355.2 | 362.620771247779 | 370.3875 | 0.979030802194402 | 0.979535724822811 | 269 | 338.4 | 355.57488651295 | 384.204166666667 | 0.925484201792753 | 0.951698257766794 | 270 | 466.9 | 445.979670863315 | 400.479166666667 | 1.11361515899907 | 1.04690870571788 | 271 | 451 | 436.615203958567 | 417.216666666667 | 1.04649511594751 | 1.03294616383262 | 272 | 422 | 413.59794551832 | 432.45 | 0.956406395001318 | 1.02031454598052 | 273 | 429.2 | 404.584825482929 | 445.325 | 0.908515860288394 | 1.06084057771492 | 274 | 425.9 | 394.009537127631 | 456.091666666667 | 0.863882341914377 | 1.08093830191232 | 275 | 460.7 | 431.038056566189 | 465.058333333333 | 0.926847291342352 | 1.06881513820406 | 276 | 463.6 | 439.722637625386 | 472.6875 | 0.930260769801161 | 1.05430096231469 | 277 | 541.4 | 539.360304353462 | 479.525 | 1.12478036463889 | 1.00378169403657 | 278 | 544.2 | 556.659895324643 | 486.445833333333 | 1.14434096703054 | 0.977616682233994 | 279 | 517.5 | 531.779719180135 | 492.233333333333 | 1.08034073104924 | 0.973147303920972 | 280 | 469.4 | 485.415709613012 | 495.8125 | 0.979030802194402 | 0.967006198407175 | 281 | 439.4 | 460.867995387746 | 497.975 | 0.925484201792753 | 0.953418341905724 | 282 | 549 | 555.791405666948 | 499.0875 | 1.11361515899907 | 0.987780657279508 | 283 | 533 | 522.693787641567 | 499.470833333333 | 1.04649511594751 | 1.01971749540957 | 284 | 506.1 | 477.709054196575 | 499.483333333333 | 0.956406395001318 | 1.05943145844530 | 285 | 484 | 453.82638511056 | 499.525 | 0.908515860288394 | 1.06648713225893 | 286 | 457 | 431.685605764372 | 499.704166666667 | 0.863882341914377 | 1.05864081150170 | 287 | 481.5 | 462.967945752933 | 499.508333333333 | 0.926847291342352 | 1.04002880635057 | 288 | 469.5 | 464.231132823106 | 499.033333333333 | 0.930260769801161 | 1.01134966357136 | 289 | 544.7 | 560.267159381187 | 498.1125 | 1.12478036463889 | 0.972214756620072 | 290 | 541.2 | 568.289260402091 | 496.608333333333 | 1.14434096703054 | 0.952331915646401 | 291 | 521.5 | 534.768661869371 | 495 | 1.08034073104924 | 0.97518803397531 | 292 | 469.7 | 483.46988589365 | 493.825 | 0.979030802194402 | 0.971518627539339 | 293 | 434.4 | 454.524572421292 | 491.120833333333 | 0.925484201792753 | 0.955723906599623 | 294 | 542.6 | 541.68561365296 | 486.420833333333 | 1.11361515899907 | 1.00168803882546 | 295 | 517.3 | 503.14613095493 | 480.791666666667 | 1.04649511594751 | 1.0281307321557 | 296 | 485.7 | 454.496273984564 | 475.2125 | 0.956406395001318 | 1.06865562558274 | 297 | 465.8 | 426.930530163272 | 469.920833333333 | 0.908515860288394 | 1.09104401557289 | 298 | 447 | 401.543311051077 | 464.8125 | 0.863882341914377 | 1.11320494626081 | 299 | 426.6 | 426.685736160593 | 460.3625 | 0.926847291342352 | 0.99979906485423 | 300 | 411.6 | 423.900452365685 | 455.679166666667 | 0.930260769801161 | 0.970982686390073 | 301 | 467.5 | 506.905704248778 | 450.670833333333 | 1.12478036463889 | 0.922262259196361 | 302 | 484.5 | 509.656090103864 | 445.370833333333 | 1.14434096703054 | 0.950641048753607 | 303 | 451.2 | 476.011630359431 | 440.6125 | 1.08034073104924 | 0.94787599970888 | 304 | 417.4 | 426.478055320909 | 435.6125 | 0.979030802194402 | 0.978713898153381 | 305 | 379.9 | 399.616365965762 | 431.791666666667 | 0.925484201792753 | 0.950661765520755 | 306 | 484.7 | 479.606208601924 | 430.675 | 1.11361515899907 | 1.01062077868617 | 307 | 455 | 451.898393047717 | 431.820833333333 | 1.04649511594751 | 1.00686350515957 | 308 | 420.8 | 415.498803228385 | 434.4375 | 0.956406395001318 | 1.01275863307048 | 309 | 416.5 | 396.729948774186 | 436.679166666667 | 0.908515860288394 | 1.04983251525855 | 310 | 376.3 | 378.57123977567 | 438.220833333333 | 0.863882341914377 | 0.99400049571379 | 311 | 405.6 | 407.986592057761 | 440.1875 | 0.926847291342352 | 0.99415031742655 | 312 | 405.8 | 412.892366589704 | 443.845833333333 | 0.930260769801161 | 0.982822722908917 | 313 | 500.8 | 505.054503231976 | 449.025 | 1.12478036463889 | 0.991576150287245 | 314 | 514 | 520.451039892852 | 454.804166666667 | 1.14434096703054 | 0.987604905364047 | 315 | 475.5 | 499.058899288481 | 461.945833333333 | 1.08034073104924 | 0.952793348997343 | 316 | 430.1 | 461.715005609889 | 471.604166666667 | 0.979030802194402 | 0.931527012928401 | 317 | 414.4 | 447.683701696374 | 483.729166666667 | 0.925484201792753 | 0.925653532683334 | 318 | 538 | 555.749645098486 | 499.05 | 1.11361515899907 | 0.968061796790999 | 319 | 526 | 545.014656385464 | 520.8 | 1.04649511594751 | 0.965111660461447 | 320 | 488.5 | 523.365504477950 | 547.220833333333 | 0.956406395001318 | 0.93338211215749 | 321 | 520.2 | 522.797880837454 | 575.441666666667 | 0.908515860288394 | 0.99503081222653 | 322 | 504.4 | 522.75320264118 | 605.120833333333 | 0.863882341914377 | 0.964891266952644 | 323 | 568.5 | 587.879927579884 | 634.279166666667 | 0.926847291342352 | 0.967034207717101 | 324 | 610.6 | 615.890770906481 | 662.0625 | 0.930260769801161 | 0.991409562934846 | 325 | 818 | 773.441157989372 | 687.6375 | 1.12478036463889 | 1.05761115962132 | 326 | 830.9 | 814.355944925196 | 711.6375 | 1.14434096703054 | 1.02031550844309 | 327 | 835.9 | 791.90776153794 | 733.016666666667 | 1.08034073104924 | 1.05555222539633 | 328 | 782 | 736.084308629861 | 751.85 | 0.979030802194402 | 1.06237830481077 | 329 | 762.3 | 710.270563034196 | 767.458333333333 | 0.925484201792753 | 1.07325298227698 | 330 | 856.9 | 866.879800333338 | 778.4375 | 1.11361515899907 | 0.988487676919567 | 331 | 820.9 | 819.353351031104 | 782.95 | 1.04649511594751 | 1.00188764586970 | 332 | 769.6 | 747.694609452155 | 781.775 | 0.956406395001318 | 1.02929724284611 | 333 | 752.2 | 706.053100823126 | 777.15 | 0.908515860288394 | 1.06535896396896 | 334 | 724.4 | 665.016626805688 | 769.8 | 0.863882341914377 | 1.08929607291107 | 335 | 723.1 | 704.801713382722 | 760.429166666667 | 0.926847291342352 | 1.02596231857816 | 336 | 719.5 | 698.742120716897 | 751.125 | 0.930260769801161 | 1.02970749675403 | 337 | 817.4 | 837.605191207168 | 744.683333333333 | 1.12478036463889 | 0.97587742838837 | 338 | 803.3 | 847.37494991139 | 740.491666666667 | 1.14434096703054 | 0.947986484712584 | 339 | 752.5 | 796.06707335248 | 736.866666666667 | 1.08034073104924 | 0.94527210732507 | 340 | 689 | 717.715243203688 | 733.0875 | 0.979030802194402 | 0.959990757510581 | 341 | 630.4 | 676.351567038492 | 730.808333333334 | 0.925484201792753 | 0.932059642827918 | 342 | 765.5 | 812.405458805634 | 729.520833333333 | 1.11361515899907 | 0.94226348641897 | 343 | 757.7 | 761.264151303384 | 727.441666666666 | 1.04649511594751 | 0.995318114878677 | 344 | 732.2 | 694.733605328957 | 726.4 | 0.956406395001318 | 1.05392915267616 | 345 | 702.6 | 660.350967567868 | 726.845833333333 | 0.908515860288394 | 1.06397966309906 | 346 | 683.3 | 626.861823371136 | 725.633333333333 | 0.863882341914377 | 1.09003288208772 | 347 | 709.5 | 670.716904243607 | 723.654166666667 | 0.926847291342352 | 1.05782334620018 | 348 | 702.2 | 671.811071431153 | 722.175 | 0.930260769801161 | 1.04523433724322 | 349 | 784.8 | 808.360901726557 | 718.683333333333 | 1.12478036463889 | 0.970853486757915 | 350 | 810.9 | 816.692307732883 | 713.679166666666 | 1.14434096703054 | 0.992907600967907 | 351 | 755.6 | 765.822034302814 | 708.870833333333 | 1.08034073104924 | 0.986652206589851 | 352 | 656.8 | 689.107147304566 | 703.866666666667 | 0.979030802194402 | 0.953117381773016 | 353 | 615.1 | 646.169213507526 | 698.195833333333 | 0.925484201792753 | 0.951917836910124 | 354 | 745.3 | 768.747104509708 | 690.316666666667 | 1.11361515899907 | 0.96949958657124 | 355 | 694.1 | 713.286710633507 | 681.595833333334 | 1.04649511594751 | 0.973100984011792 | 356 | 675.7 | 642.633366961261 | 671.925 | 0.956406395001318 | 1.05145489596206 | 357 | 643.7 | 601.191443132089 | 661.729166666667 | 0.908515860288394 | 1.07070718878907 | 358 | 622.1 | 564.611901616689 | 653.575 | 0.863882341914377 | 1.1018187859992 | 359 | 634.6 | 599.685644953357 | 647.016666666667 | 0.926847291342352 | 1.05822109523625 | 360 | 588 | 594.835868816648 | 639.429166666667 | 0.930260769801161 | 0.988507974762438 | 361 | 689.7 | 711.578237934234 | 632.6375 | 1.12478036463889 | 0.969253924912392 | 362 | 673.9 | 717.616220424852 | 627.1 | 1.14434096703054 | 0.939081337377003 | 363 | 647.9 | 670.88259114215 | 620.991666666667 | 1.08034073104924 | 0.965742752240712 | 364 | 568.8 | 602.254877264895 | 615.154166666667 | 0.979030802194402 | 0.944450632900096 | 365 | 545.7 | 563.616022707613 | 608.995833333333 | 0.925484201792753 | 0.96821236092341 | 366 | 632.6 | 674.140856689574 | 605.3625 | 1.11361515899907 | 0.938379559290377 | 367 | 643.8 | NA | NA | 1.04649511594751 | NA | 368 | 593.1 | NA | NA | 0.956406395001318 | NA | 369 | 579.7 | NA | NA | 0.908515860288394 | NA | 370 | 546 | NA | NA | 0.863882341914377 | NA | 371 | 562.9 | NA | NA | 0.926847291342352 | NA | 372 | 572.5 | NA | NA | 0.930260769801161 | NA |
| Charts produced by software: | | http://www.freestatistics.org/blog/date/2009/Nov/27/t12593339502irmkx8mmb4bpes/1ufiv1259333909.png (open in new window) | http://www.freestatistics.org/blog/date/2009/Nov/27/t12593339502irmkx8mmb4bpes/1ufiv1259333909.ps (open in new window) |
| http://www.freestatistics.org/blog/date/2009/Nov/27/t12593339502irmkx8mmb4bpes/2k78j1259333909.png (open in new window) | http://www.freestatistics.org/blog/date/2009/Nov/27/t12593339502irmkx8mmb4bpes/2k78j1259333909.ps (open in new window) |
| http://www.freestatistics.org/blog/date/2009/Nov/27/t12593339502irmkx8mmb4bpes/3prx11259333909.png (open in new window) | http://www.freestatistics.org/blog/date/2009/Nov/27/t12593339502irmkx8mmb4bpes/3prx11259333909.ps (open in new window) |
| http://www.freestatistics.org/blog/date/2009/Nov/27/t12593339502irmkx8mmb4bpes/49ros1259333909.png (open in new window) | http://www.freestatistics.org/blog/date/2009/Nov/27/t12593339502irmkx8mmb4bpes/49ros1259333909.ps (open in new window) |
| | Parameters (Session): | par1 = multiplicative ; par2 = 12 ; | | Parameters (R input): | par1 = multiplicative ; par2 = 12 ; | | R code (references can be found in the software module): | par2 <- as.numeric(par2)
x <- ts(x,freq=par2)
m <- decompose(x,type=par1)
m$figure
bitmap(file='test1.png')
plot(m)
dev.off()
mylagmax <- length(x)/2
bitmap(file='test2.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(x),lag.max = mylagmax,main='Observed')
acf(as.numeric(m$trend),na.action=na.pass,lag.max = mylagmax,main='Trend')
acf(as.numeric(m$seasonal),na.action=na.pass,lag.max = mylagmax,main='Seasonal')
acf(as.numeric(m$random),na.action=na.pass,lag.max = mylagmax,main='Random')
par(op)
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
spectrum(as.numeric(x),main='Observed')
spectrum(as.numeric(m$trend[!is.na(m$trend)]),main='Trend')
spectrum(as.numeric(m$seasonal[!is.na(m$seasonal)]),main='Seasonal')
spectrum(as.numeric(m$random[!is.na(m$random)]),main='Random')
par(op)
dev.off()
bitmap(file='test4.png')
op <- par(mfrow = c(2,2))
cpgram(as.numeric(x),main='Observed')
cpgram(as.numeric(m$trend[!is.na(m$trend)]),main='Trend')
cpgram(as.numeric(m$seasonal[!is.na(m$seasonal)]),main='Seasonal')
cpgram(as.numeric(m$random[!is.na(m$random)]),main='Random')
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Classical Decomposition by Moving Averages',6,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Observations',header=TRUE)
a<-table.element(a,'Fit',header=TRUE)
a<-table.element(a,'Trend',header=TRUE)
a<-table.element(a,'Seasonal',header=TRUE)
a<-table.element(a,'Random',header=TRUE)
a<-table.row.end(a)
for (i in 1:length(m$trend)) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
if (par1 == 'additive') a<-table.element(a,m$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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