workshop8

*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: Sun, 19 Dec 2010 00:13:34 +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/19/t1292717629fico72uq3et6iq7.htm/, Retrieved Sun, 19 Dec 2010 01:13:51 +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/19/t1292717629fico72uq3et6iq7.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 «

40,7819 39,5915 38,8859 39,9068 41,47 41,5613 41,6005 41,4113 41,84 42,2892 43,1521 43,5998 43,116 42,4185 42,3687 42,2975 42,8528 43,535 44,7265 45,7293 45,7585 46,1685 46,5075 46,527 46,601 46,4607 46,7135 46,4113 45,55 44,6081 44,4395 44,9847 45,7558 45,3942 45,697 45,5664 46,0205 45,9195 45,8005 45,535 45,4977 45,5782 45,7697 45,2445 45,0615 45,2865 44,791 44,7625 44,7644 44,9973 44,7265 45,1465 44,7465 45,1795 45,6515 45,492 45,2775 45,2115 45,411 45,4005 44,7692 44,8913 45,032 44,879 44,833 44,8257 44,7815 44,479 44,6317 44,5043 44,3217 44,1005 44,047 43,6835 43,7864 44,1807 43,9595 43,937 43,991 43,865 43,671 43,93 43,863 43,7095 43,9435 43,736 43,6295 43,598 43,8726 43,8935 43,5957 43,7155 43,528 43,3415 43,3374 43,332 43,3869 43,5016 43,4875 43,6023 43,3886 43,3105 43,4455 43,5185 43,5755 43,6217 43,644 43,5789 43,5215 43,5033 43,632 43,263 43,3717 43,2745 43,2647 43,324 43,4455 43,409 etc...

Output produced by software:

Summary of computational transaction Raw Input view raw input (R code) Raw Output view raw output of R engine Computing time 9 seconds R Server 'RServer@AstonUniversity' @ vre.aston.ac.uk Classical Decomposition by Moving Averages t Observations Fit Trend Seasonal Random 1 40.7819 NA NA -0.0243586391752579 NA 2 39.5915 NA NA 0.00192136082474247 NA 3 38.8859 40.1449300206186 40.12722 0.0177100206185563 -1.25903002061856 4 39.9068 40.2917302268041 40.2831 0.00863022680412419 -0.384930226804123 5 41.47 40.6809970309278 40.6849 -0.0039029690721651 0.789002969072165 6 41.5613 41.1656213608247 41.18998 -0.0243586391752579 0.395678639175259 7 41.6005 41.5785413608248 41.57662 0.00192136082474247 0.0219586391752458 8 41.4113 41.7581700206186 41.74046 0.0177100206185563 -0.346870020618567 9 41.84 42.0672502268041 42.05862 0.00863022680412419 -0.227250226804124 10 42.2892 42.4545770309278 42.45848 -0.0039029690721651 -0.165377030927836 11 43.1521 42.7750613608248 42.79942 -0.0243586391752579 0.377038639175247 12 43.5998 42.9170413608247 42.91512 0.00192136082474247 0.682758639175255 13 43.116 42.9487300206186 42.93102 0.0177100206185563 0.167269979381437 14 42.4185 42.7687302268041 42.7601 0.00863022680412419 -0.350230226804115 15 42.3687 42.6067970309278 42.6107 -0.0039029690721651 -0.238097030927833 16 42.2975 42.6701413608247 42.6945 -0.0243586391752579 -0.372641360824744 17 42.8528 43.1580213608247 43.1561 0.00192136082474247 -0.305221360824746 18 43.535 43.8459300206186 43.82822 0.0177100206185563 -0.310930020618564 19 44.7265 44.5290502268041 44.52042 0.00863022680412419 0.197449773195878 20 45.7293 45.1796570309278 45.18356 -0.0039029690721651 0.54964296907216 21 45.7585 45.7537013608247 45.77806 -0.0243586391752579 0.00479863917524881 22 46.1685 46.1400813608247 46.13816 0.00192136082474247 0.028418639175257 23 46.5075 46.3302100206186 46.3125 0.0177100206185563 0.177289979381442 24 46.527 46.4615702268041 46.45294 0.00863022680412419 0.0654297731958806 25 46.601 46.5580370309278 46.56194 -0.0039029690721651 0.0429629690721569 26 46.4607 46.5183413608247 46.5427 -0.0243586391752579 -0.0576413608247464 27 46.7135 46.3492213608247 46.3473 0.00192136082474247 0.364278639175254 28 46.4113 45.9664300206186 45.94872 0.0177100206185563 0.444869979381437 29 45.55 45.5531102268041 45.54448 0.00863022680412419 -0.0031102268041252 30 44.6081 45.1948170309278 45.19872 -0.0039029690721651 -0.586717030927836 31 44.4395 45.0432613608248 45.06762 -0.0243586391752579 -0.603761360824748 32 44.9847 45.0383813608248 45.03646 0.00192136082474247 -0.0536813608247542 33 45.7558 45.2719500206186 45.25424 0.0177100206185563 0.483849979381439 34 45.3942 45.4882502268041 45.47962 0.00863022680412419 -0.0940502268041286 35 45.697 45.6828770309278 45.68678 -0.0039029690721651 0.0141229690721687 36 45.5664 45.6951613608247 45.71952 -0.0243586391752579 -0.128761360824747 37 46.0205 45.8027013608247 45.80078 0.00192136082474247 0.21779863917525 38 45.9195 45.7860900206186 45.76838 0.0177100206185563 0.133409979381433 39 45.8005 45.7632702268041 45.75464 0.00863022680412419 0.0372297731958824 40 45.535 45.6622770309278 45.66618 -0.0039029690721651 -0.127277030927843 41 45.4977 45.6118613608247 45.63622 -0.0243586391752579 -0.114161360824745 42 45.5782 45.5269413608247 45.52502 0.00192136082474247 0.0512586391752592 43 45.7697 45.4480300206186 45.43032 0.0177100206185563 0.321669979381433 44 45.2445 45.3967102268041 45.38808 0.00863022680412419 -0.152210226804122 45 45.0615 45.2267370309278 45.23064 -0.0039029690721651 -0.165237030927834 46 45.2865 45.0048413608247 45.0292 -0.0243586391752579 0.281658639175248 47 44.791 44.9351013608247 44.93318 0.00192136082474247 -0.144101360824749 48 44.7625 44.9380500206186 44.92034 0.0177100206185563 -0.175550020618552 49 44.7644 44.8169702268041 44.80834 0.00863022680412419 -0.0525702268041215 50 44.9973 44.8755370309278 44.87944 -0.0039029690721651 0.121762969072165 51 44.7265 44.8518813608247 44.87624 -0.0243586391752579 -0.125381360824747 52 45.1465 44.9611813608247 44.95926 0.00192136082474247 0.185318639175257 53 44.7465 45.1078100206186 45.0901 0.0177100206185563 -0.361310020618561 54 45.1795 45.2518302268041 45.2432 0.00863022680412419 -0.0723302268041266 55 45.6515 45.2654970309278 45.2694 -0.0039029690721651 0.386002969072166 56 45.492 45.3380413608247 45.3624 -0.0243586391752579 0.153958639175258 57 45.2775 45.4106213608247 45.4087 0.00192136082474247 -0.133121360824738 58 45.2115 45.3762100206186 45.3585 0.0177100206185563 -0.164710020618557 59 45.411 45.2225702268041 45.21394 0.00863022680412419 0.188429773195878 60 45.4005 45.1327970309278 45.1367 -0.0039029690721651 0.267702969072161 61 44.7692 45.0764413608247 45.1008 -0.0243586391752579 -0.307241360824747 62 44.8913 44.9963213608247 44.9944 0.00192136082474247 -0.105021360824743 63 45.032 44.8986100206186 44.8809 0.0177100206185563 0.133389979381441 64 44.879 44.9008302268041 44.8922 0.00863022680412419 -0.0218302268041199 65 44.833 44.8663370309278 44.87024 -0.0039029690721651 -0.0333370309278322 66 44.8257 44.7352813608247 44.75964 -0.0243586391752579 0.0904186391752546 67 44.7815 44.7121013608247 44.71018 0.00192136082474247 0.0693986391752546 68 44.479 44.6621500206186 44.64444 0.0177100206185563 -0.183150020618555 69 44.6317 44.5522702268041 44.54364 0.00863022680412419 0.0794297731958764 70 44.5043 44.4035370309278 44.40744 -0.0039029690721651 0.100762969072157 71 44.3217 44.2966813608247 44.32104 -0.0243586391752579 0.0250186391752507 72 44.1005 44.1333213608248 44.1314 0.00192136082474247 -0.0328213608247552 73 44.047 44.0055300206186 43.98782 0.0177100206185563 0.0414699793814393 74 43.6835 43.9682502268041 43.95962 0.00863022680412419 -0.284750226804121 75 43.7864 43.9275170309278 43.93142 -0.0039029690721651 -0.141117030927838 76 44.1807 43.8850613608247 43.90942 -0.0243586391752579 0.295638639175259 77 43.9595 43.9728413608247 43.97092 0.00192136082474247 -0.0133413608247466 78 43.937 44.0043500206186 43.98664 0.0177100206185563 -0.0673500206185622 79 43.991 43.8933302268041 43.8847 0.00863022680412419 0.0976697731958822 80 43.865 43.8748970309278 43.8788 -0.0039029690721651 -0.00989703092783145 81 43.671 43.8396413608247 43.864 -0.0243586391752579 -0.168641360824751 82 43.93 43.8096213608247 43.8077 0.00192136082474247 0.12037863917525 83 43.863 43.8411100206186 43.8234 0.0177100206185563 0.0218899793814415 84 43.7095 43.8450302268041 43.8364 0.00863022680412419 -0.135530226804121 85 43.9435 43.7723970309278 43.7763 -0.0039029690721651 0.171102969072159 86 43.736 43.6989413608247 43.7233 -0.0243586391752579 0.0370586391752497 87 43.6295 43.7578413608247 43.75592 0.00192136082474247 -0.128341360824749 88 43.598 43.7636300206186 43.74592 0.0177100206185563 -0.165630020618565 89 43.8726 43.7264902268041 43.71786 0.00863022680412419 0.146109773195867 90 43.8935 43.7311570309278 43.73506 -0.0039029690721651 0.162342969072164 91 43.5957 43.6967013608248 43.72106 -0.0243586391752579 -0.101001360824753 92 43.7155 43.6167613608247 43.61484 0.00192136082474247 0.0987386391752523 93 43.528 43.5213300206186 43.50362 0.0177100206185563 0.0066699793814351 94 43.3415 43.4595102268041 43.45088 0.00863022680412419 -0.118010226804117 95 43.3374 43.3812570309278 43.38516 -0.0039029690721651 -0.0438570309278319 96 43.332 43.3555213608247 43.37988 -0.0243586391752579 -0.0235213608247449 97 43.3869 43.4110013608247 43.40908 0.00192136082474247 -0.0241013608247513 98 43.5016 43.4797700206186 43.46206 0.0177100206185563 0.0218299793814438 99 43.4875 43.4820102268041 43.47338 0.00863022680412419 0.00548977319586896 100 43.6023 43.4541970309278 43.4581 -0.0039029690721651 0.148102969072163 101 43.3886 43.4225213608247 43.44688 -0.0243586391752579 -0.0339213608247491 102 43.3105 43.4550013608248 43.45308 0.00192136082474247 -0.144501360824755 103 43.4455 43.4654300206186 43.44772 0.0177100206185563 -0.0199300206185598 104 43.5185 43.5029702268041 43.49434 0.00863022680412419 0.0155297731958797 105 43.5755 43.5571370309278 43.56104 -0.0039029690721651 0.0183629690721645 106 43.6217 43.5633613608248 43.58772 -0.0243586391752579 0.058338639175247 107 43.644 43.5902413608247 43.58832 0.00192136082474247 0.0537586391752498 108 43.5789 43.5915900206186 43.57388 0.0177100206185563 -0.0126900206185638 109 43.5215 43.5845702268041 43.57594 0.00863022680412419 -0.0630702268041219 110 43.5033 43.4958370309278 43.49974 -0.0039029690721651 0.00746296907216504 111 43.632 43.4339413608247 43.4583 -0.0243586391752579 0.198058639175251 112 43.263 43.4108213608247 43.4089 0.00192136082474247 -0.147821360824743 113 43.3717 43.3788900206186 43.36118 0.0177100206185563 -0.00719002061855889 114 43.2745 43.3082102268041 43.29958 0.00863022680412419 -0.0337102268041178 115 43.2647 43.3321770309278 43.33608 -0.0039029690721651 -0.0674770309278472 116 43.324 43.3193413608247 43.3437 -0.0243586391752579 0.00465863917525411 117 43.4455 43.3727213608247 43.3708 0.00192136082474247 0.0727786391752545 118 43.4098 43.5215700206186 43.50386 0.0177100206185563 -0.111770020618565 119 43.41 43.6097702268041 43.60114 0.00863022680412419 -0.199770226804134 120 43.93 43.6161370309278 43.62004 -0.0039029690721651 0.313862969072161 121 43.8104 43.6853213608247 43.70968 -0.0243586391752579 0.125078639175257 122 43.54 43.7971013608247 43.79518 0.00192136082474247 -0.257101360824748 123 43.858 43.8030900206186 43.78538 0.0177100206185563 0.0549099793814349 124 43.8375 43.8093302268041 43.8007 0.00863022680412419 0.0281697731958772 125 43.881 43.8489770309278 43.85288 -0.0039029690721651 0.0320229690721661 126 43.887 43.8144613608247 43.83882 -0.0243586391752579 0.0725386391752565 127 43.8009 43.8354413608247 43.83352 0.00192136082474247 -0.0345413608247469 128 43.7877 43.8875300206186 43.86982 0.0177100206185563 -0.0998300206185547 129 43.811 43.9260502268041 43.91742 0.00863022680412419 -0.115050226804122 130 44.0625 44.0573370309278 44.06124 -0.0039029690721651 0.00516296907215974 131 44.125 44.3594413608247 44.3838 -0.0243586391752579 -0.234441360824746 132 44.52 44.8015213608248 44.7996 0.00192136082474247 -0.281521360824748 133 45.4005 45.0426100206186 45.0249 0.0177100206185563 0.357889979381433 134 45.89 45.1892302268041 45.1806 0.00863022680412419 0.700769773195873 135 45.189 45.2597170309278 45.26362 -0.0039029690721651 -0.0707170309278382 136 44.9035 45.1193613608247 45.14372 -0.0243586391752579 -0.215861360824746 137 44.9351 44.7636413608247 44.76172 0.00192136082474247 0.171458639175256 138 44.801 44.5636300206186 44.54592 0.0177100206185563 0.237369979381441 139 43.98 44.4270702268041 44.41844 0.00863022680412419 -0.447070226804129 140 44.11 44.2997170309278 44.30362 -0.0039029690721651 -0.189717030927838 141 44.2661 44.1388613608247 44.16322 -0.0243586391752579 0.127238639175253 142 44.361 44.1378413608247 44.13592 0.00192136082474247 0.223158639175253 143 44.099 44.1099100206186 44.0922 0.0177100206185563 -0.0109100206185602 144 43.8435 44.0910102268041 44.08238 0.00863022680412419 -0.247510226804124 145 43.8914 44.1074770309278 44.11138 -0.0039029690721651 -0.216077030927842 146 44.217 44.1752213608248 44.19958 -0.0243586391752579 0.0417786391752486 147 44.506 44.3221013608248 44.32018 0.00192136082474247 0.183898639175247 148 44.54 44.5280100206186 44.5103 0.0177100206185563 0.0119899793814326 149 44.4465 44.6544502268041 44.64582 0.00863022680412419 -0.20795022680413 150 44.842 44.7309170309278 44.73482 -0.0039029690721651 0.111082969072164 151 44.8946 44.8914613608247 44.91582 -0.0243586391752579 0.0031386391752477 152 44.951 45.0291413608248 45.02722 0.00192136082474247 -0.0781413608247519 153 45.445 45.2303300206186 45.21262 0.0177100206185563 0.214669979381441 154 45.0035 45.4603302268041 45.4517 0.00863022680412419 -0.456830226804122 155 45.769 45.5399970309278 45.5439 -0.0039029690721651 0.229002969072162 156 46.09 45.4545413608247 45.4789 -0.0243586391752579 0.635458639175255 157 45.412 45.5761213608248 45.5742 0.00192136082474247 -0.164121360824751 158 45.12 45.4591100206186 45.4414 0.0177100206185563 -0.339110020618563 159 45.48 45.2432302268041 45.2346 0.00863022680412419 0.236769773195874 160 45.105 45.1922970309278 45.1962 -0.0039029690721651 -0.087297030927843 161 45.056 45.2258413608248 45.2502 -0.0243586391752579 -0.169841360824755 162 45.22 45.1643213608248 45.1624 0.00192136082474247 0.0556786391752482 163 45.39 45.1470900206186 45.12938 0.0177100206185563 0.24290997938143 164 45.041 45.1131102268041 45.10448 0.00863022680412419 -0.0721102268041349 165 44.9399 45.0952770309278 45.09918 -0.0039029690721651 -0.155377030927838 166 44.9315 45.0661413608248 45.0905 -0.0243586391752579 -0.134641360824752 167 45.1935 45.1771213608247 45.1752 0.00192136082474247 0.016378639175251 168 45.3466 45.3186300206186 45.30092 0.0177100206185563 0.0279699793814387 169 45.4645 45.4016702268041 45.39304 0.00863022680412419 0.0628297731958796 170 45.5685 45.4184370309278 45.42234 -0.0039029690721651 0.15006296907216 171 45.3921 45.3548213608248 45.37918 -0.0243586391752579 0.0372786391752484 172 45.34 45.3083013608247 45.30638 0.00192136082474247 0.0316986391752536 173 45.1308 45.2843900206186 45.26668 0.0177100206185563 -0.153590020618559 174 45.1005 45.2368902268041 45.22826 0.00863022680412419 -0.136390226804131 175 45.37 45.1486370309278 45.15254 -0.0039029690721651 0.22136296907216 176 45.2 45.0623213608247 45.08668 -0.0243586391752579 0.137678639175263 177 44.9614 45.0515413608247 45.04962 0.00192136082474247 -0.0901413608247452 178 44.8015 45.0123300206186 44.99462 0.0177100206185563 -0.210830020618559 179 44.9152 44.9486702268041 44.94004 0.00863022680412419 -0.0334702268041269 180 45.095 44.8643770309278 44.86828 -0.0039029690721651 0.230622969072165 181 44.9271 44.7836213608248 44.80798 -0.0243586391752579 0.14347863917525 182 44.6026 44.7348613608248 44.73294 0.00192136082474247 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0.0331899793814401 419 38.9199 39.0187502268041 39.01012 0.00863022680412419 -0.0988502268041245 420 38.913 38.9797370309278 38.98364 -0.0039029690721651 -0.0667370309278397 421 38.9655 38.9589213608247 38.98328 -0.0243586391752579 0.00657863917525248 422 39.029 39.0152213608247 39.0133 0.00192136082474247 0.013778639175257 423 39.089 39.0493300206186 39.03162 0.0177100206185563 0.0396699793814363 424 39.07 39.0679102268041 39.05928 0.00863022680412419 0.00208977319587689 425 39.0046 39.1210170309278 39.12492 -0.0039029690721651 -0.116417030927835 426 39.1038 39.1603613608247 39.18472 -0.0243586391752579 -0.0565613608247446 427 39.3572 39.2490413608247 39.24712 0.00192136082474247 0.108158639175251 428 39.388 39.3518700206186 39.33416 0.0177100206185563 0.0361299793814425 429 39.382 39.3727702268041 39.36414 0.00863022680412419 0.00922977319586948 430 39.4398 39.3348170309278 39.33872 -0.0039029690721651 0.104982969072161 431 39.2537 39.2920213608247 39.31638 -0.0243586391752579 -0.0383213608247459 432 39.2301 39.2983013608247 39.29638 0.00192136082474247 -0.0682013608247445 433 39.2763 39.2926300206186 39.27492 0.0177100206185563 -0.016330020618561 434 39.282 39.3442102268041 39.33558 0.00863022680412419 -0.0622102268041331 435 39.3325 39.5056570309278 39.50956 -0.0039029690721651 -0.173157030927833 436 39.557 39.7474413608248 39.7718 -0.0243586391752579 -0.190441360824749 437 40.1 40.0143213608248 40.0124 0.00192136082474247 0.0856786391752493 438 40.5875 40.2736100206186 40.2559 0.0177100206185563 0.313889979381436 439 40.485 40.5122302268041 40.5036 0.00863022680412419 -0.0272302268041287 440 40.55 40.7708970309278 40.7748 -0.0039029690721651 -0.220897030927837 441 40.7955 40.9040813608247 40.92844 -0.0243586391752579 -0.108581360824751 442 41.456 41.1081613608248 41.10624 0.00192136082474247 0.347838639175251 443 41.3557 41.2586500206186 41.24094 0.0177100206185563 0.0970499793814312 444 41.374 41.3204702268041 41.31184 0.00863022680412419 0.0535297731958764 445 41.2235 41.2912370309278 41.29514 -0.0039029690721651 -0.0677370309278373 446 41.15 41.3381013608247 41.36246 -0.0243586391752579 -0.188101360824746 447 41.3725 41.4495813608248 41.44766 0.00192136082474247 -0.0770813608247494 448 41.6923 41.5815700206186 41.56386 0.0177100206185563 0.110729979381439 449 41.8 41.6704902268041 41.66186 0.00863022680412419 0.129509773195871 450 41.8045 41.6554570309278 41.65936 -0.0039029690721651 0.149042969072156 451 41.64 41.6114413608247 41.6358 -0.0243586391752579 0.0285586391752517 452 41.36 41.5963213608248 41.5944 0.00192136082474247 -0.236321360824753 453 41.5745 41.5662100206186 41.5485 0.0177100206185563 0.00828997938143772 454 41.593 41.5651302268041 41.5565 0.00863022680412419 0.0278697731958744 455 41.575 41.6816970309278 41.6856 -0.0039029690721651 -0.106697030927833 456 41.68 41.8101013608248 41.83446 -0.0243586391752579 -0.130101360824753 457 42.0055 42.0307813608247 42.02886 0.00192136082474247 -0.0252813608247422 458 42.3188 42.2030700206186 42.18536 0.0177100206185563 0.115729979381442 459 42.565 42.3159902268041 42.30736 0.00863022680412419 0.249009773195873 460 42.3575 42.4413570309278 42.44526 -0.0039029690721651 -0.083857030927831 461 42.29 42.5577013608247 42.58206 -0.0243586391752579 -0.267701360824745 462 42.695 42.5611213608247 42.5592 0.00192136082474247 0.133878639175258 463 43.0028 42.5995100206186 42.5818 0.0177100206185563 0.403289979381441 464 42.4507 42.5899302268041 42.5813 0.00863022680412419 -0.139230226804131 465 42.4705 42.5018370309278 42.50574 -0.0039029690721651 -0.0313370309278369 466 42.2875 42.3908213608248 42.41518 -0.0243586391752579 -0.103321360824751 467 42.3172 42.4774213608247 42.4755 0.00192136082474247 -0.16022136082475 468 42.55 42.5789700206186 42.56126 0.0177100206185563 -0.0289700206185586 469 42.7523 42.7434902268041 42.73486 0.00863022680412419 0.00880977319587828 470 42.8993 42.9052170309278 42.90912 -0.0039029690721651 -0.00591703092784002 471 43.1555 43.0607613608247 43.08512 -0.0243586391752579 0.0947386391752545 472 43.1885 43.1985813608248 43.19666 0.00192136082474247 -0.0100813608247563 473 43.43 43.1975100206186 43.1798 0.0177100206185563 0.232489979381434 474 43.31 43.0976702268041 43.08904 0.00863022680412419 0.212329773195876 475 42.815 42.9034370309278 42.90734 -0.0039029690721651 -0.0884370309278424 476 42.7017 42.5813813608248 42.60574 -0.0243586391752579 0.120318639175252 477 42.28 42.3796613608247 42.37774 0.00192136082474247 -0.0996613608247472 478 41.922 42.2716900206186 42.25398 0.0177100206185563 -0.349690020618567 479 42.17 42.1865702268041 42.17794 0.00863022680412419 -0.0165702268041272 480 42.1962 42.1814970309278 42.1854 -0.0039029690721651 0.014702969072161 481 42.3215 42.2548413608247 42.2792 -0.0243586391752579 0.0666586391752517 482 42.3173 42.3397213608247 42.3378 0.00192136082474247 -0.0224213608247439 483 42.391 42.3987700206186 42.38106 0.0177100206185563 -0.00777002061855825 484 42.463 42.3861902268041 42.37756 0.00863022680412419 0.0768097731958761 485 42.4125 42.2727970309278 42.2767 -0.0039029690721651 0.139702969072161 486 42.304 42.1043413608248 42.1287 -0.0243586391752579 0.199658639175247 487 41.813 41.9458213608248 41.9439 0.00192136082474247 -0.132821360824749 488 41.651 41.7106100206186 41.6929 0.0177100206185563 -0.0596100206185568 489 41.539 41.4316302268041 41.423 0.00863022680412419 0.107369773195877 490 41.1575 NA NA -0.0039029690721651 NA 491 40.9545 NA NA NA NA

Charts produced by software:

http://www.freestatistics.org/blog/date/2010/Dec/19/t1292717629fico72uq3et6iq7/1z5qs1292717603.png (open in new window) http://www.freestatistics.org/blog/date/2010/Dec/19/t1292717629fico72uq3et6iq7/1z5qs1292717603.ps (open in new window) http://www.freestatistics.org/blog/date/2010/Dec/19/t1292717629fico72uq3et6iq7/2z5qs1292717603.png (open in new window) http://www.freestatistics.org/blog/date/2010/Dec/19/t1292717629fico72uq3et6iq7/2z5qs1292717603.ps (open in new window) http://www.freestatistics.org/blog/date/2010/Dec/19/t1292717629fico72uq3et6iq7/3sepv1292717603.png (open in new window) http://www.freestatistics.org/blog/date/2010/Dec/19/t1292717629fico72uq3et6iq7/3sepv1292717603.ps (open in new window) http://www.freestatistics.org/blog/date/2010/Dec/19/t1292717629fico72uq3et6iq7/4sepv1292717603.png (open in new window) http://www.freestatistics.org/blog/date/2010/Dec/19/t1292717629fico72uq3et6iq7/4sepv1292717603.ps (open in new window)

Parameters (Session):

par1 = additive ; par2 = 5 ;

Parameters (R input):

par1 = additive ; par2 = 5 ;

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')

Copyright

This work is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 License.

Software written by Ed van Stee & Patrick Wessa

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