Decomposition by Structural Time Series Models 1

*The author of this computation has been verified*

R Software Module: /rwasp_structuraltimeseries.wasp (opens new window with default values)

Title produced by software: Structural Time Series Models

Date of computation: Fri, 17 Dec 2010 20:15:57 +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/17/t1292616939qoddp1muerys73t.htm/, Retrieved Fri, 17 Dec 2010 21:15:46 +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/17/t1292616939qoddp1muerys73t.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 «

126,64 126,81 125,84 126,77 124,34 124,4 120,48 118,54 117,66 116,97 120,11 119,16 116,9 116,11 114,98 113,65 115,82 117,59 118,57 118,07 114,98 114,04 115,02 114,28 115,04 116,7 119,21 118,39 116,5 115,46 117,59 117,33 116,2 116,83 118,99 118,62 121,09 122,4 123,76 125,33 123,23 122,52 123,64 124,67 124,71 122,53 124,4 125,45 125,35 124,3 127,03 128,51 128,1 128,94 129,67 129,87 131,12 132,68 132,24 133,63 129,91 127,93 131,17 130,86 133,48 134,08 136,02 132,8 132,37 133,05 132,57 130,7 130,5 129,67 127,8 126,82 126,85 128,28 128,3 126,82 125,08 128,53 130,34 131,52 132,59 131,17 132,72 133,36 132,82 132,9 130,9 129,41 128,67 129,28 130,91 131,06 130,84 131,41 133,22 132,06 132,48 134,38 135,22 134,89 136,09 136,33 136,32 137,48 136,53 136,8 138,03 137,39 137,55 136,08 134,78 133,28 133,57 134,84 133,02 133,49 133,77 134,34 134,5 134,03 135,51 136,53 135,95 134,32 132,44 133,61 13 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 17 seconds R Server 'Gwilym Jenkins' @ 72.249.127.135 Structural Time Series Model t Observed Level Slope Seasonal Stand. Residuals 1 126.64 126.64 0 0 0 2 126.81 126.784500001008 0.0254999989923916 0.0254999989923916 0.0456027756430726 3 125.84 125.838780487897 0.00121951210312999 0.00121951210313006 -0.834106700275071 4 126.77 126.746666667549 0.0233333324513249 0.0233333324513247 0.778435520428436 5 124.34 124.373720929098 -0.0337209290976729 -0.0337209290976723 -2.05678670068069 6 124.4 124.285423731604 -0.02864406709896 0.114576268395840 -0.0542297861991129 7 120.48 120.74536841687 -0.265368416870114 -0.265368416870113 -2.50565791008379 8 118.54 118.822812495588 -0.282812495587649 -0.282812495587648 -1.41314830589112 9 117.66 117.948969067703 -0.288969067702588 -0.288969067702589 -0.503967742922696 10 116.97 117.263061220010 -0.293061220010142 -0.293061220010142 -0.338448800796201 11 120.11 118.661578966417 -0.362105258395698 1.44842103358279 1.54765424099336 12 119.16 119.473199996871 -0.313199996871287 -0.313199996871287 0.904158717521044 13 116.9 117.226092711995 -0.326092711995328 -0.326092711995326 -1.64596566891752 14 116.11 116.439144733597 -0.329144733596726 -0.329144733596727 -0.392229408917871 15 114.98 115.314379081692 -0.334379081691678 -0.334379081691676 -0.677130525965474 16 113.65 112.565029595412 -0.271242601146878 1.08497040458752 -2.15303816359227 17 115.82 115.98009755981 -0.160097559810012 -0.160097559810015 2.92483523593526 18 117.59 117.740728154248 -0.1507281542483 -0.150728154248299 1.63329585694107 19 118.57 118.715265699437 -0.145265699436564 -0.145265699436566 0.956861149657808 20 118.07 118.216971152792 -0.146971152792320 -0.146971152792319 -0.300191898680979 21 114.98 114.654821430721 -0.0812946423197327 0.325178569278934 -3.00640881773292 22 114.04 114.131730768707 -0.0917307687073761 -0.0917307687073784 -0.356074640035209 23 115.02 115.107624520575 -0.0876245205750809 -0.0876245205750802 0.907390854924872 24 114.28 114.370114503307 -0.0901145033066781 -0.0901145033066784 -0.552343840684428 25 115.04 115.126882128788 -0.0868821287878825 -0.086882128787885 0.719767901840413 26 116.7 116.277204303328 -0.105698924168104 0.42279569667242 1.08095577892683 27 119.21 119.255809523597 -0.0458095235968611 -0.045809523596864 2.51014248909196 28 118.39 118.438259493447 -0.0482594934472309 -0.0482594934472294 -0.655694949630902 29 116.5 116.554069400380 -0.054069400380389 -0.0540694003803871 -1.55985643370403 30 115.46 115.517169811056 -0.0571698110563472 -0.0571698110563483 -0.835035031113013 31 117.59 117.270239522375 -0.0799401194061617 0.319760477624649 1.57375815745127 32 117.33 117.406378378073 -0.076378378073019 -0.0763783780730222 0.177022105332933 33 116.2 116.279218328525 -0.0792183285249163 -0.079218328524915 -0.892567069910402 34 116.83 116.907311827649 -0.077311827649496 -0.0773118276494976 0.600810776665471 35 118.99 119.061313672640 -0.0713136726397783 -0.0713136726397802 1.89533442602107 36 118.62 118.361696659077 -0.0645758352307844 0.258303340923142 -0.544292101589138 37 121.09 121.114235294036 -0.0242352940364041 -0.0242352940364115 2.31900676511829 38 122.4 122.421103286315 -0.0211032863149866 -0.0211032863149866 1.13048386603885 39 123.76 123.777868852401 -0.0178688524005875 -0.0178688524005876 1.17019785881898 40 125.33 125.344158878459 -0.0141588784594226 -0.0141588784594265 1.34539237225291 41 123.23 123.251081080992 0.00527027024804953 -0.0210810809921896 -1.79617823867618 42 122.52 122.523999999992 -0.0039999999914955 -0.00399999999150092 -0.605055938391251 43 123.64 123.641663201662 -0.00166320166202477 -0.00166320166202608 0.95248176536787 44 124.67 124.669522821582 0.00047717841772953 0.000477178417731802 0.874237109614733 45 124.71 124.709440993795 0.000559006205429637 0.000559006205423684 0.0334919299349115 46 122.53 122.602064128024 0.0180160320059253 -0.0720641280236915 -1.81750820607869 47 124.4 124.362224299175 0.037775700824722 0.0377757008247156 1.44343706968385 48 125.45 125.410335821010 0.0396641789895237 0.0396641789895228 0.85785430142124 49 125.35 125.310595903280 0.0394040967202533 0.0394040967202574 -0.118364798508210 50 124.3 124.262620817952 0.0373791820479976 0.0373791820479908 -0.923266945868589 51 127.03 127.096353790420 0.0165884476048816 -0.0663537904195208 2.40712220842377 52 128.51 128.479372881437 0.030627118562681 0.0306271185626754 1.13474404528224 53 128.1 128.070118443396 0.0298815566042363 0.0298815566042379 -0.373461438980753 54 128.94 128.908750000083 0.0312499999173051 0.0312499999173028 0.686631439536474 55 129.67 129.637571669563 0.0324283304372205 0.0324283304372176 0.592239822267349 56 129.87 129.991050902808 0.0302627257020198 -0.121050902808072 0.275992622726075 57 131.12 131.079798449709 0.0402015502908159 0.0402015502908075 0.88067274994898 58 132.68 132.637445820536 0.0425541794644524 0.0425541794644521 1.28822544744154 59 132.24 132.198191653887 0.0418083461130733 0.0418083461130747 -0.40902747247916 60 133.63 133.586111111216 0.0438888887839940 0.0438888887839883 1.14276926144650 61 129.91 130.170963854819 0.0652409637046719 -0.260963854818674 -2.97025622916153 62 127.93 127.885085714385 0.0449142856149798 0.0449142856149784 -1.95925289904613 63 131.17 131.120527817513 0.049472182487343 0.0494721824873302 2.70841245869366 64 130.86 130.811039886148 0.0489601138524187 0.0489601138524303 -0.304717937254863 65 133.48 133.427382645919 0.0526173540809324 0.0526173540809131 2.17942529007123 66 134.08 134.272433935609 0.0481084839021967 -0.192433935608779 0.679817166144036 67 136.02 135.958768212045 0.0612317879548796 0.0612317879548848 1.36701141473039 68 132.8 132.743108465724 0.0568915342757476 0.0568915342757417 -2.78158135591239 69 132.37 132.313751651369 0.0562483486306908 0.0562483486307065 -0.412750359142824 70 133.05 132.992928760010 0.057071239989703 0.0570712399896827 0.528770628835974 71 132.57 132.803488371629 0.0583720929072841 -0.233488371629122 -0.211307818481145 72 130.7 130.658074074154 0.0419259258456578 0.041925925845658 -1.8410632804114 73 130.5 130.458372379858 0.0416276201423326 0.0416276201423239 -0.205095802661597 74 129.67 129.629445812885 0.0405541871145897 0.0405541871146107 -0.738934042101253 75 127.8 127.761795818031 0.0382041819687362 0.0382041819687196 -1.61969924553118 76 126.82 126.988781664341 0.0421954160851357 -0.168781664340530 -0.694883547511012 77 126.85 126.809352601229 0.0406473987709905 0.0406473987709904 -0.185332746467561 78 128.28 128.237748267974 0.0422517320259729 0.0422517320259589 1.17788764016741 79 128.3 128.257773933178 0.0422260668218352 0.0422260668218526 -0.0188649429791518 80 126.82 126.779527649842 0.0404723501580294 0.0404723501580159 -1.29053895759297 81 125.08 125.270452488355 0.0476131220887171 -0.190452488354856 -1.32651890968117 82 128.53 128.461750000114 0.0682499998862783 0.0682499998862753 2.63120731232182 83 130.34 130.269858849194 0.0701411508062215 0.0701411508062055 1.47669973255492 84 131.52 131.448655097732 0.0713449022675908 0.0713449022676015 0.940966976745587 85 132.59 132.517573131214 0.0724268687855807 0.0724268687855622 0.846686064195416 86 131.17 131.478966985652 0.0772417464130427 -0.308966985652153 -0.950607394500127 87 132.72 132.636071795003 0.0839282049967044 0.0839282049967041 0.904528575777077 88 133.36 133.275502049313 0.0844979506874277 0.084497950687413 0.471466180205489 89 132.82 132.736141248852 0.0838587511483021 0.0838587511483201 -0.52948166144456 90 132.9 132.816145194405 0.0838548055949869 0.0838548055949646 -0.00327165051073581 91 130.9 131.262213279122 0.0905533197805022 -0.362213279121986 -1.40062988559014 92 129.41 129.331291262253 0.0787087377472237 0.0787087377472302 -1.69442586944564 93 128.67 128.592085354141 0.0779146458592003 0.0779146458591843 -0.694162236346376 94 129.28 129.201569767558 0.0784302324419183 0.0784302324419355 0.451141799355914 95 130.91 130.830067763913 0.0799322360869315 0.0799322360868989 1.31553762932218 96 131.06 131.372564346541 0.0781410866353624 -0.312564346541429 0.395413977369115 97 130.84 130.76566820287 0.074331797130163 0.0743317971301679 -0.574562955867947 98 131.41 131.335211786477 0.0747882135225965 0.0747882135225778 0.420274746311678 99 133.22 133.143615455489 0.0763845445107064 0.0763845445107226 1.47127856559246 100 132.06 131.984751838341 0.075248161658867 0.0752481616588437 -1.04832554914170 101 132.48 132.770543477858 0.0726358694644726 -0.290543477857875 0.607159821757201 102 134.38 134.299657894845 0.0803421051554239 0.0803421051554252 1.22227879824170 103 135.22 135.138992112291 0.081007887709186 0.0810078877091744 0.64412467677184 104 134.89 134.809352014118 0.0806479858815435 0.0806479858815562 -0.348499536823314 105 136.09 136.008372703521 0.0816272964787835 0.0816272964787575 0.949115137896353 106 136.33 136.648688524170 0.0796721310424428 -0.318688524169755 0.477233181373715 107 136.32 136.242778242777 0.0772217572233289 0.077221757223336 -0.407707821279806 108 137.48 137.401872909799 0.0781270902010998 0.0781270902010795 0.918121508886552 109 136.53 136.452731829673 0.0772681703273248 0.0772681703273484 -0.871781393498462 110 136.8 136.722570951685 0.0774290483151635 0.077429048315137 0.163423455405556 111 138.03 138.319423393375 0.0723558483436562 -0.289423393374615 1.29748403089557 112 137.39 137.322800000082 0.0671999999175646 0.0671999999175819 -0.89795695739168 113 137.55 137.482725819427 0.067274180573017 0.0672741805729905 0.0786894675497797 114 136.08 136.013953674202 0.0660463257976771 0.0660463257977078 -1.30352721214922 115 134.78 134.715043894732 0.064956105267623 0.064956105267605 -1.15833541552635 116 133.28 133.555460992575 0.068865248143775 -0.275460992575091 -1.04537035005942 117 133.57 133.501701149505 0.0682988504944848 0.0682988504945038 -0.103050128499738 118 134.84 134.770781010801 0.069218989199018 0.0692189891989804 1.01899586665944 119 133.02 132.952226472918 0.0677735270819377 0.0677735270819753 -1.60198474166183 120 133.49 133.421918960324 0.0680810396755582 0.0680810396755303 0.341072614976869 121 133.77 134.03564954652 0.0664123866300156 -0.265649546520056 0.46568923370893 122 134.34 134.272830882429 0.067169117571325 0.0671691175713525 0.143564137804262 123 134.5 134.432762674580 0.0672373254202052 0.0672373254201575 0.0787181989085241 124 134.03 133.963157121955 0.0668428780451489 0.0668428780451907 -0.455563546877677 125 135.51 135.442120322894 0.0678796771063342 0.0678796771063004 1.19832151236316 126 136.53 136.786533719801 0.0641334299503767 -0.256533719801503 1.08920286449103 127 135.95 135.889957597238 0.0600424027616427 0.0600424027616758 -0.80794862711483 128 134.32 134.261151130007 0.0588488699925999 0.058848869992555 -1.4331329220407 129 132.44 132.382519407261 0.0574805927392945 0.05748059273935 -1.64411782498075 130 133.61 133.551734837863 0.0582651621370948 0.0582651621370556 0.94340176375025 131 131.02 131.279358437658 0.0648396094145818 -0.259358437658311 -1.98817324706425 132 130.05 129.990707483055 0.0592925169448 0.0592925169448303 -1.13864849676671 133 128.21 128.151998640441 0.0580013595586678 0.0580013595586186 -1.61059544528243 134 129.03 128.971480978322 0.0585190216780035 0.0585190216780613 0.646173147234186 135 130.34 130.280631364624 0.0593686353759291 0.0593686353758741 1.06125332271557 136 131.57 131.791705842618 0.0554264606545832 -0.221705842618319 1.23813180139149 137 132.63 132.571711475469 0.058288524531389 0.0582885245314058 0.609751140758977 138 132.06 132.002123197961 0.0578768020386555 0.0578768020386131 -0.532793675594946 139 134.44 134.380602488599 0.0593975114005892 0.0593975114006363 1.96917939953826 140 134.1 134.040863874405 0.0591361255949561 0.059136125594915 -0.338692417790669 141 132.49 132.740777201823 0.0626943004557905 -0.250777201823141 -1.15903059340574 142 134.23 134.162126582344 0.0678734176556635 0.0678734176556669 1.14366533813822 143 134.92 134.851733080395 0.0682669196049056 0.068266919604875 0.527574316892901 144 135.61 135.54134007592 0.0686599240801291 0.0686599240801726 0.527240725764706 145 134.53 134.462065698108 0.0679343018925177 0.0679343018924791 -0.974084268825211 146 133.86 134.135722326190 0.0689305815474402 -0.275722326189739 -0.336146225054652 147 133.89 133.822477064283 0.0675229357164982 0.0675229357165053 -0.32178629042022 148 135.33 135.261638141873 0.0683618581266571 0.0683618581266235 1.16389714492851 149 135.86 135.791356139343 0.0686438606565587 0.068643860656596 0.391481526119749 150 136.22 136.151178266243 0.0688217337573378 0.0688217337572972 0.247077866862362 151 137.38 137.641402659975 0.0653506649937974 -0.261402659975178 1.21163052506560 152 137.31 137.246289940886 0.0637100591137333 0.0637100591137513 -0.387798743059609 153 136.89 136.826575990596 0.0634240094042816 0.0634240094042531 -0.410203107345011 154 138.01 137.945951536701 0.0640484632988773 0.0640484632989062 0.896013680318127 155 136.72 136.656751329059 0.063248670940876 0.063248670940853 -1.14828102249350 156 135.77 136.029520187011 0.0648800467527497 -0.259520187010987 -0.588485568012225 157 137.52 137.450441260806 0.0695587391939313 0.0695587391939377 1.14231077338023 158 135.61 135.541575028697 0.0684249713030459 0.0684249713030423 -1.67875093445898 159 132.94 132.873142530110 0.066857469889798 0.0668574698898331 -2.32230251242172 160 134.12 134.052505720883 0.0674942791170022 0.067494279116961 0.943993041601902 161 132.55 132.831768707238 0.0704421768095725 -0.281768707238259 -1.09777844515409 162 134.11 134.035766666730 0.0742333332702125 0.0742333332702048 0.955098756063543 163 134.19 134.115763464805 0.0742365351951014 0.0742365351950785 0.00489042415327633 164 135.57 135.495038845791 0.0749611542093713 0.0749611542094061 1.10735342795409 165 135.05 134.975368829792 0.0746311702084211 0.074631170208381 -0.504557213321755 166 134.32 134.622319955765 0.0755799889413724 -0.302319955765455 -0.364401160101012 167 133.61 133.538183288469 0.0718167115310072 0.0718167115310017 -0.977339763190206 168 134.75 134.677607758680 0.0723922413195857 0.0723922413195634 0.905880745195215 169 133.1 133.028535272003 0.0714647279970635 0.0714647279971108 -1.46068770257102 170 133.26 133.188487621157 0.0715123788430977 0.0715123788430501 0.0750830146043507 171 131.63 131.927524012564 0.0743810031409611 -0.297524012563810 -1.13517706528017 172 132.47 132.394382199013 0.0756178009865449 0.0756178009865478 0.330819594776796 173 132.45 132.374432234493 0.0755677655072612 0.0755677655072275 -0.0810900130113011 174 133.33 133.254011506337 0.0759884936630454 0.0759884936630894 0.682210097072091 175 133.57 133.493925771101 0.0760742288989096 0.076074228898856 0.139092289151066 176 134.13 134.427128045384 0.0742820113459357 -0.297128045383711 0.730123980372608 177 133.92 133.847720101837 0.072279898162505 0.0722798981625093 -0.551095728569803 178 132.62 132.548418107889 0.0715818921110755 0.0715818921110567 -1.16378967709484 179 132.3 132.228617183584 0.0713828164162044 0.071382816416248 -0.332088973494886 180 133.26 133.188165650462 0.0718343495375993 0.0718343495375422 0.753609940620338 181 132.6 132.890342741711 0.0725856854278557 -0.290342741711385 -0.31484717677124 182 134.38 134.303420792137 0.0765792078628011 0.0765792078627892 1.13029986455746 183 134.17 134.093562592834 0.0764374071662899 0.0764374071662703 -0.243040966894696 184 135.46 135.382962413510 0.0770375864896976 0.0770375864897373 1.02919351426465 185 135.09 135.013183391062 0.0768166089384581 0.076816608938406 -0.379121970000485 186 134.96 135.265875428902 0.0764688572256126 -0.305875428902409 0.149781480655634 187 133.85 133.778067469933 0.071932530067397 0.0719325300673879 -1.31920734272550 188 132.59 132.518709055929 0.0712909440707207 0.0712909440707192 -1.12958750631471 189 131.15 131.079436687582 0.0705633124178678 0.0705633124179136 -1.28169823046247 190 130.91 130.839586140572 0.0704138594283619 0.0704138594283074 -0.263383100169676 191 131.07 131.348280802089 0.069570200522161 -0.278280802088606 0.373216033772952 192 130.78 130.71242253526 0.0675774647400955 0.0675774647400824 -0.595002633460677 193 129.95 129.882843735384 0.0671562646161608 0.0671562646161546 -0.761223690211237 194 131.41 131.342190431568 0.0678095684315456 0.0678095684315746 1.18125265676427 195 131.21 131.142315986922 0.0676840130784079 0.067684013078362 -0.227125836860804 196 130.68 130.952666356250 0.0681665890625959 -0.272666356250345 -0.219109711958191 197 130.46 130.393560640779 0.0664393592211063 0.0664393592210855 -0.529157662655764 198 131.12 131.053289112581 0.0667108874188965 0.0667108874188959 0.50339397730019 199 132.99 132.922464563376 0.0675354366238987 0.0675354366239128 1.52935506706706 200 133.02 132.952481718512 0.067518281488342 0.067518281488301 -0.0318335067825514 201 133.39 133.655426497093 0.0663566242732484 -0.265426497092965 0.540990620449793 202 134.07 134.002888392903 0.0671116070969215 0.0671116070969008 0.237168989856888 203 135.6 135.532235609149 0.0677643908505664 0.067764390850569 1.24067077841115 204 135.66 135.592239072303 0.0677609276967549 0.0677609276967711 -0.00658495470076939 205 135.53 135.462327240349 0.0676727596505827 0.0676727596505481 -0.167720418132219 206 135.82 136.086719787336 0.0666799468338867 -0.266719787335525 0.47393896378235 207 136.9 136.831542483706 0.068457516294151 0.06845751629414 0.572225317682784 208 137.97 137.901106271823 0.0688937281770114 0.0688937281770075 0.849409389684654 209 138.09 138.021084022684 0.0689159773157966 0.0689159773158117 0.0433432949493458 210 136.91 136.841627502221 0.0683724977785905 0.0683724977785708 -1.05920734913091 211 134.76 135.046464995489 0.0716162488722229 -0.286464995488863 -1.58630428901365 212 135.13 135.058536170259 0.0714638297406609 0.071463829740657 -0.0502511632506266 213 134.66 134.588766482394 0.0712335176056575 0.0712335176056616 -0.459218468287433 214 132.95 132.879523809570 0.0704761904302895 0.070476190430313 -1.51067413312601 215 132.25 132.179851253764 0.0701487462356705 0.0701487462356381 -0.653445235995393 216 134.3 134.564854368761 0.0662135921901434 -0.264854368760557 1.97032341851383 217 134.3 134.234777546819 0.0652224531808486 0.0652224531808478 -0.334476544991241 218 134.76 134.694613466376 0.0653865336241451 0.0653865336241328 0.334814649004654 219 134.81 134.744619858787 0.0653801412130049 0.0653801412130175 -0.0130494688496041 220 134.51 134.444771594726 0.0652284052740575 0.0652284052740444 -0.309882478989177 221 135.11 135.365231022941 0.063807755735176 -0.255231022940697 0.727886711915144 222 134.32 134.259052845566 0.0609471544334835 0.0609471544334941 -0.987602593001068 223 133.51 133.449406745263 0.0605932547366533 0.0605932547366481 -0.738662122615908 224 134.02 133.959224207999 0.0607757920010678 0.0607757920010689 0.381148002022277 225 132.76 132.699760454768 0.0602395452324133 0.0602395452324188 -1.12016809064864 226 133.39 133.625336829221 0.0588342073051823 -0.235336829220732 0.73643347910676 227 132.05 131.995204771405 0.0547952285946809 0.054795228594692 -1.42583690169236 228 131.87 131.815298092243 0.0547019077566627 0.0547019077566649 -0.199133910291723 229 133.03 132.974858959112 0.0551410408880025 0.0551410408879789 0.937422578170432 230 132.57 132.515063542528 0.0549364574723627 0.0549364574723827 -0.436900130536608 231 132.1 132.321325966716 0.0553314916790905 -0.221325966716372 -0.211615833395942 232 130.7 130.648712062288 0.0512879377124114 0.0512879377124274 -1.45889534634858 233 129.2 129.149315441493 0.0506845585071213 0.0506845585071468 -1.31567983163136 234 129.77 129.719113530357 0.0508864696428868 0.0508864696428504 0.440442349675933 235 131.02 130.968647493229 0.05135250677062 0.0513525067706276 1.01699348519108 236 131.55 131.750865198799 0.0502162996996962 -0.200865198798798 0.621907355441066 237 133.17 133.116769523841 0.0532304761592303 0.0532304761592221 1.11093942961457 238 133.08 133.026824067053 0.0531759329467106 0.053175932946742 -0.121477265470743 239 133.24 133.186783403153 0.0532165968473547 0.0532165968473253 0.0906001071907304 240 130.74 130.687754946758 0.0522450532418032 0.0522450532418412 -2.16544567620437 241 129.91 130.122738275216 0.0531845688041022 -0.212738275216418 -0.525205990986145 242 130.03 129.977261194060 0.0527388059398196 0.0527388059398088 -0.167761784084349 243 131.13 131.076870570713 0.0531294292868803 0.0531294292869102 0.888211270486361 244 129.55 129.497479492946 0.0525205070540802 0.0525205070540479 -1.38510246955387 245 130.22 130.167249347775 0.0527506522246358 0.052750652224657 0.523701560140507 246 130.61 130.817439792397 0.0518599480993095 -0.207439792397254 0.508308684485066 247 129.27 129.221762340064 0.0482376599361917 0.0482376599362084 -1.39140683552667 248 129.68 129.631630116986 0.0483698830136274 0.048369883013631 0.306821826873598 249 130.1 130.051494336893 0.0485056631074461 0.0485056631074171 0.315191014661850 250 130.83 130.781245434651 0.0487545653486876 0.048754565348708 0.577996497189887 251 130.95 131.143188089942 0.0482970224856188 -0.193188089942501 0.266448182781302 252 131.73 131.680648745547 0.0493512544529778 0.0493512544529949 0.413153350456263 253 131.86 131.810619849544 0.0493801504563829 0.0493801504563884 0.0684009413052356 254 132.44 132.390429799454 0.0495702005456584 0.0495702005456296 0.450036752183854 255 132.35 132.300479770883 0.0495202291169184 0.0495202291169452 -0.118374244457883 256 133.16 133.352338910539 0.0480847276346424 -0.192338910538601 0.852701977291239 257 133.62 133.571553602838 0.0484463971617456 0.0484463971617618 0.144550617592302 258 132.54 132.491950105437 0.0480498945628131 0.0480498945628382 -0.957077045371115 259 132.69 132.641914295776 0.0480857042239945 0.048085704223956 0.0864676531875036 260 133.5 133.451646769689 0.0483532303108536 0.0483532303108805 0.646207719621323 261 133.36 133.553114525036 0.0482786312588767 -0.193114525035531 0.0451826911922568 262 134.23 134.180520689682 0.0494793103184885 0.0494793103184881 0.489219174452469 263 132.41 132.361165115503 0.0488348844965846 0.0488348844966302 -1.58557969691279 264 133.02 132.970971743651 0.0490282563488287 0.0490282563487847 0.47594646365447 265 132.88 132.831036858448 0.0489631415516357 0.0489631415516664 -0.160322395309228 266 130.76 130.966399451758 0.0515998629395122 -0.206399451758048 -1.62774771634933 267 130.33 130.279901861278 0.0500981387217241 0.0500981387217033 -0.623558211741671 268 129.79 129.740101488524 0.04989851147598 0.0498985114760359 -0.500487287718858 269 128.65 128.600503889103 0.049496110897397 0.0494961108973691 -1.00920350983724 270 129.14 129.0903549696 0.0496450304000608 0.0496450304000645 0.373610095409762 271 127.35 127.557141896328 0.0517854740820994 -0.207141896328384 -1.34634282331501 272 127.74 127.688056478432 0.0519435215680818 0.0519435215680557 0.0668547624760939 273 126.31 126.258548654958 0.0514513450417374 0.0514513450417946 -1.25690311048703 274 125.95 125.898685258990 0.0513147410095874 0.0513147410095686 -0.348970454266004 275 126.36 126.308566213103 0.0514337868970126 0.0514337868969958 0.30421717215275 276 126.15 126.355757675696 0.0514394189239652 -0.205757675695838 -0.00360824662690937 277 125.6 125.550241435588 0.0497585644121431 0.049758564412107 -0.724079127510828 278 126.2 126.150061970019 0.0499380299813916 0.0499380299814338 0.466685958475196 279 126.73 126.679905445086 0.0500945549144802 0.0500945549144628 0.407163434143786 280 125.68 125.630264015670 0.0497359843296115 0.0497359843296092 -0.93304266666541 281 122.49 122.704461737895 0.0536154344738715 -0.214461737895452 -2.53068053482692 282 122.07 122.017810897462 0.0521891025383222 0.0521891025382927 -0.625527080592027 283 123.4 123.347401473913 0.0525985260874542 0.052598526087487 1.08377537424737 284 123.01 122.957543241538 0.0524567584622544 0.0524567584622448 -0.375389980494816 285 123.03 122.977553634352 0.0524463656481505 0.0524463656481203 -0.0275282040787398 286 122.33 122.542284166828 0.0530710417069881 -0.212284166827924 -0.414780947053433 287 122.42 122.367360629947 0.0526393700531921 0.0526393700531813 -0.192669105926841 288 122.68 122.627295340076 0.052704659924051 0.0527046599240752 0.175873416365665 289 124.69 124.636679257187 0.0533207428133012 0.0533207428132696 1.66008482636024 290 123.3 123.247133417269 0.0528665827308175 0.0528665827308089 -1.22415607616801 291 124.17 124.376048841478 0.0515122103696219 -0.206048841478477 0.915092028430495 292 124.38 124.32867182665 0.0513281733501081 0.0513281733500945 -0.0835727968524048 293 123.19 123.139056019832 0.0509439801675741 0.0509439801676437 -1.05283829423057 294 122.16 122.109390470321 0.0506095296788168 0.0506095296787731 -0.916807734795004 295 120.66 120.609870089724 0.050129910276107 0.0501299102761203 -1.31515684863064 296 120.92 121.118251769681 0.0495629424202849 -0.198251769681130 0.389689256377275 297 120.67 120.621436834117 0.0485631658828034 0.0485631658827809 -0.461781480166476 298 120.68 120.631448569712 0.0485514302875919 0.0485514302876543 -0.0327076141952019 299 121.1 121.051335564367 0.0486644356327523 0.0486644356326838 0.315046672023627 300 120.86 120.811423357687 0.0485766423129526 0.0485766423129752 -0.244832747792506 301 121.48 121.670363196037 0.0475907990092217 -0.190363196036888 0.689090244967047 302 123.48 123.429329341341 0.0506706586592329 0.0506706586591956 1.44648923863359 303 121.72 121.669871296042 0.0501287039576954 0.0501287039577927 -1.53573661221802 304 123.16 123.109455415942 0.0505445840580592 0.0505445840579567 1.17883189911239 305 123.84 123.78926712536 0.0507328746400694 0.0507328746400985 0.533878322915320 306 124.57 124.768487645041 0.0496219112603216 -0.198487645041275 0.789505611580127 307 124.3 124.251381443321 0.0486185566789188 0.0486185566788588 -0.479038432408465 308 124.22 124.171419316865 0.0485806831345662 0.0485806831346787 -0.109089250687836 309 124.43 124.381371798668 0.0486282013320328 0.048628201331933 0.136909583978523 310 123.33 123.281709829333 0.0482901706666924 0.0482901706667453 -0.97422179115723 311 122.86 123.054458113562 0.0486145283904316 -0.194458113561719 -0.234287963256954 312 121.25 121.204692753644 0.0453072463564947 0.0453072463564469 -1.60473589028931 313 122.16 122.114442190690 0.0455578093102074 0.0455578093103096 0.73340043935067 314 122.62 122.574322132118 0.0456778678821973 0.0456778678820841 0.351514565396595 315 123.44 123.394097885917 0.0459021140831189 0.0459021140831614 0.656751472903505 316 124 124.180178725777 0.0450446814443058 -0.180178725777236 0.629336234949504 317 124.75 124.704134094171 0.0458659058285484 0.0458659058285086 0.404854550919708 318 124.8 124.754132915023 0.0458670849769139 0.0458670849770199 0.00350639387459054 319 125.93 125.88382378103 0.0461762189702293 0.0461762189701082 0.919523602896712 320 126.28 126.233737172198 0.0462628278017288 0.0462628278017809 0.25769271024257 321 126.04 126.225300794470 0.0463251986175853 -0.185300794470351 -0.0465062641983757 322 125.04 124.995828651705 0.0441713482953958 0.0441713482953632 -1.07857288137929 323 123.76 123.716200505495 0.0437994945049633 0.0437994945050962 -1.12311823151969 324 125.34 125.295769230789 0.0442307692115453 0.0442307692114028 1.30295438369226 325 126.99 126.945318551802 0.0446814481983864 0.0446814481984239 1.3619603257648 326 126.34 126.520832634736 0.0452081586840067 -0.180832634736029 -0.398880689530595 327 127.42 127.373449515926 0.0465504840741472 0.0465504840740838 0.682627583486852 328 126.18 126.133805309754 0.0461946902457365 0.0461946902459024 -1.09121179300357 329 125.3 125.254061376851 0.0459386231487337 0.0459386231486208 -0.785569334255918 330 123.5 123.454571586531 0.0454284134686932 0.0454284134687442 -1.56566739796477 331 125.32 125.492900385177 0.0432250962941769 -0.172900385176720 1.69428337637021 332 124.65 124.608294277947 0.0417057220532216 0.0417057220531522 -0.784478925493518 333 124.03 123.988474530118 0.0415254698816665 0.0415254698818367 -0.561239214957312 334 125.11 125.068191721151 0.0418082788494476 0.0418082788492852 0.88080340283701 335 125.46 125.418107813794 0.0418921862061111 0.0418921862061839 0.261399118522969 336 124.7 124.870138248776 0.0425345621941126 -0.17013824877646 -0.501460093956717 337 124.48 124.438230872501 0.0417691274993913 0.041769127499312 -0.401159090378653 338 124.76 124.718166935068 0.0418330649315982 0.0418330649317757 0.202060783655473 339 125.81 125.767896431464 0.0421035685362832 0.0421035685361144 0.855099115216053 340 124.95 124.908138412035 0.0418615879654207 0.041861587965505 -0.765139149304583 341 123.66 123.832243589672 0.0430608974180791 -0.172243589672325 -0.950209604449189 342 122.66 122.618936507953 0.0410634920466379 0.0410634920465674 -1.06235841326610 343 119.34 119.299825443021 0.0401745569790124 0.0401745569792522 -2.85076590634663 344 117.84 117.800232681138 0.0397673188625755 0.0397673188624070 -1.30633571213696 345 120.97 120.929415807577 0.0405841924232199 0.0405841924232375 2.62105449866442 346 117.38 117.556772834885 0.0441932087211439 -0.176772834884526 -2.90150917344574 347 118.06 118.015157757515 0.0448422424851763 0.044842242485055 0.350247988174876 348 116.99 116.945448383751 0.0445516162489818 0.0445516162491989 -0.945581745435025 349 115.55 115.505835288003 0.0441647119967886 0.0441647119966943 -1.25916017772157 350 114.17 114.126206357496 0.0437936425044898 0.0437936425044799 -1.20794153139356 351 115.32 115.489673066875 0.0424182667188105 -0.169673066875199 1.12179112987444 352 112.49 112.452339331635 0.0376606683654107 0.0376606683653074 -2.60441062962395 353 111.93 111.892492932423 0.0375070675768907 0.0375070675770929 -0.506922000202972 354 112.08 112.042464028792 0.0375359712080263 0.0375359712079056 0.0954139149761834 355 111.63 111.592589262794 0.0374107372057089 0.0374107372057194 -0.413516798238227 356 109.53 109.687625991239 0.0394064978098826 -0.157625991239487 -1.65107107782805 357 111.35 111.308185044377 0.0418149556236279 0.0418149556234966 1.33716934237723 358 110.79 110.748337557036 0.0416624429638735 0.041662442964093 -0.510446485362644 359 113.06 113.017772992163 0.0422270078374951 0.0422270078373358 1.89002798964391 360 112.62 112.577895136795 0.0421048632053635 0.0421048632053722 -0.409014589620576 361 110.65 110.825691220920 0.0439228052300829 -0.175691220920261 -1.52516809380626 362 112.36 112.313907500018 0.0460924999821973 0.0460924999820304 1.22148035130009 363 113.74 113.693574106491 0.0464258935086927 0.046425893508931 1.13139358720617 364 111.73 111.684087956040 0.0459120439602836 0.0459120439601612 -1.74421925142520 365 109.86 109.814566575086 0.0454334249137568 0.045433424913762 -1.62503826954736 366 109.32 109.503159989977 0.045789997494211 -0.183159989976773 -0.303306717765068 367 109.99 109.943625154149 0.0463748458516292 0.046374845851486 0.333801846744811 368 109.84 109.793673570037 0.0463264299626306 0.0463264299628525 -0.166561487867131 369 111.13 111.083367019983 0.0466329800167532 0.046632980016582 1.05486079769356 370 112.43 112.383058156745 0.0469418432546839 0.0469418432546742 1.06308263399512 371 111.77 111.959621993055 0.0474054982638224 -0.189621993055207 -0.399800908818601 372 112.15 112.102454987853 0.0475450121475923 0.0475450121474403 0.0807123291627762 373 112.89 112.842286548303 0.0477134516969949 0.0477134516972179 0.587328396479677 374 112.12 112.072485408578 0.0475145914218499 0.0475145914217164 -0.693570489055773 375 113.1 113.052258691970 0.0477413080297371 0.0477413080297036 0.790918112754208 376 111.09 111.288014046911 0.0495035117276985 -0.198014046910692 -1.54006904488147 377 110.76 110.711399759922 0.0486002400780375 0.048600240077905 -0.529589483116143 378 109.59 109.541692270781 0.0483077292187887 0.0483077292190092 -1.03359739914236 379 109.99 109.941607871388 0.0483921286117942 0.048392128611672 0.298299815554995 380 110.25 110.201557101745 0.0484428982546235 0.0484428982545658 0.179482451185051 381 108.31 108.51044933071 0.050112332677526 -0.200449330709980 -1.47846600994442 382 108.79 108.739632701440 0.0503672985598074 0.0503672985596487 0.151469489505703 383 108.14 108.089798625936 0.050201374063644 0.0502013740638793 -0.594041365473486 384 109.88 109.829398389408 0.050601610592619 0.050601610592476 1.43326267996884 385 109.93 109.879398531868 0.0506014681321424 0.0506014681320737 -0.000510277391231884 386 110.46 110.659641424792 0.0499103561979415 -0.199641424791646 0.620115988183248 387 109.56 109.511773099433 0.0482269005673931 0.0482269005672286 -1.01319367628362 388 111.49 111.441333021533 0.048666978467009 0.0486669784672361 1.59609503097911 389 111.85 111.801260229150 0.0487397708498529 0.0487397708497132 0.264068554486064 390 111.35 111.301388499316 0.0486115006837334 0.0486115006836854 -0.465433834562128 391 110.95 111.145211923544 0.0488029808860562 -0.195211923544127 -0.174043406533026 392 112.49 112.439468822189 0.0505311778111155 0.0505311778109682 1.05355988079095 393 113.11 113.059337335506 0.0506626644936338 0.0506626644938643 0.483016633448627 394 112.54 112.489480609436 0.0505193905637453 0.0505193905636093 -0.526438651285337 395 112.84 112.789423032559 0.0505769674410475 0.0505769674409903 0.211606475733357 396 111.5 111.706493446696 0.0516233616740611 -0.206493446696128 -0.963311340585135 397 111.52 111.468773090098 0.0512269099021867 0.0512269099020536 -0.244771525236695 398 111.57 111.518773369831 0.0512266301689669 0.0512266301691836 -0.00104065178935427 399 112.48 112.428577615701 0.0514223842992463 0.0514223842991052 0.728402358924009 400 112.31 112.258628076591 0.051371923409496 0.0513719234094335 -0.187808095707491 401 113.79 113.989364214281 0.0498410535702004 -0.199364214280707 1.42717595014945 402 114.01 113.960265765783 0.049734234216965 0.0497342342168313 -0.0667814912091883 403 113.64 113.590360279233 0.0496397207663745 0.0496397207666152 -0.356014567829439 404 112.62 112.570601080612 0.0493989193885262 0.0493989193883901 -0.907258216108852 405 113.27 113.220465901435 0.0495340985648509 0.0495340985647926 0.509424124981355 406 113.51 113.706564252006 0.0491410630016196 -0.196564252006383 0.370997538929958 407 112.92 112.872040044510 0.0479599554896546 0.0479599554895292 -0.747590964972676 408 113.66 113.611886121013 0.0481138789870464 0.0481138789872504 0.586982563465021 409 113.14 113.092012452763 0.0479875472372586 0.0479875472371457 -0.481869440824565 410 113.48 113.431947532253 0.0480524677469665 0.0480524677469055 0.247682526356409 411 113.23 113.422414709726 0.0481036774314974 -0.192414709725903 -0.048935596959414 412 110.56 110.515797802213 0.0442021977871738 0.0442021977870962 -2.49980912621534 413 109.5 109.456040430689 0.0439595693104843 0.0439595693106839 -0.936576305210546 414 109.78 109.735988576465 0.0440114235351353 0.044011423535022 0.200207788243510 415 109.49 109.446061937199 0.0439380628008005 0.043938062800743 -0.283306083505523 416 109.66 109.834541475100 0.0436353687748957 -0.174541475099517 0.292782787348554 417 109.93 109.886353963098 0.0436460369017336 0.0436460369016348 0.00691838290839718 418 109.82 109.776387320900 0.0436126790995516 0.0436126790997604 -0.130321626479492 419 108.54 108.496674625584 0.0433253744156651 0.0433253744155673 -1.12268018565564 420 108.23 108.186751302098 0.0432486979021447 0.0432486979020883 -0.299688430425505 421 106.19 106.369455017241 0.044863754310265 -0.179455017240971 -1.58101186948387 422 106.49 106.445096566539 0.0449034334615036 0.0449034334614044 0.0260408570175973 423 107.15 107.104964599886 0.045035400113796 0.0450354001139712 0.521721804952211 424 107.74 107.694847704863 0.0451522951373288 0.0451522951372273 0.462236235249406 425 107.54 107.494900278806 0.0450997211945753 0.0450997211945025 -0.20793694966159 426 107.07 107.251389185663 0.0453472964158869 -0.181389185663461 -0.245244170828459 427 107.54 107.494400848371 0.0455991516287503 0.0455991516286570 0.167247387881692 428 107.81 107.764353265494 0.0456467345058278 0.0456467345060106 0.190335905796583 429 108.38 108.334242103047 0.0457578969534272 0.0457578969533142 0.444754361284808 430 108.42 108.374243323457 0.0457566765428821 0.0457566765428096 -0.00488382548168718 431 106.86 107.047680608304 0.0469201520759563 -0.187680608303724 -1.16609152015301 432 106.41 106.364000000015 0.045999999985107 0.0459999999850214 -0.618192827317957 433 106.46 106.413999161616 0.0460008383837683 0.0460008383839557 0.00339278822794986 434 106.84 106.793929170174 0.0460708298258284 0.0460708298257171 0.283297111107072 435 107.69 107.643760737497 0.0462392625033739 0.0462392625032707 0.681890383626764 436 107.04 107.226510753751 0.0466276884376745 -0.186510753750595 -0.393829860824645 437 111.04 110.988746114006 0.0512538859940057 0.0512538859938754 3.14402709711686 438 111.93 111.878572316635 0.0514276833652732 0.0514276833654618 0.711422832732457 439 111.98 111.928572612405 0.051427387594947 0.0514273875948513 -0.00121095829669413 440 112.07 112.018564623049 0.0514353769512837 0.0514353769511764 0.0327172166915194 441 112.05 112.255127993329 0.0512819983321693 -0.205127993328551 0.157301479940153 442 113.14 113.087756147558 0.052243852442538 0.0522438524424151 0.661168587235529 443 112.49 112.437900020504 0.0520999794959655 0.0520999794961707 -0.595642573835822 444 113.2 113.147765260156 0.0522347398442450 0.0522347398441309 0.558030189087375 445 113.52 113.467710423936 0.0522895760637974 0.0522895760636926 0.227118250848827 446 113.22 113.429454990749 0.0523637476871633 -0.209454990748514 -0.0769337945647949 447 113.85 113.797252279652 0.0527477203482954 0.0527477203481519 0.266924618128902 448 113.68 113.627297406823 0.0527025931764399 0.0527025931766611 -0.188934622177780 449 114.26 114.207190601596 0.052809398403635 0.0528093984035144 0.447253683324631 450 114.1 114.04723369787 0.0527663021301761 0.0527663021300777 -0.180504944653401 451 114.8 115.008122729043 0.0520306822607813 -0.208122729042995 0.771594782575023 452 114.98 114.928128256529 0.0518717434709722 0.0518717434708245 -0.111724701752287 453 115.1 115.048114606307 0.0518853936926727 0.0518853936929043 0.0577864534731922 454 114.21 114.158303285272 0.0516967147276473 0.051696714727537 -0.798908123375957 455 114.24 114.188307630699 0.0516923693011059 0.0516923693010138 -0.0184031752805171 456 113.35 113.558951886540 0.0522379716349785 -0.208951886539775 -0.578648465119682 457 114.23 114.177088206161 0.0529117938391669 0.0529117938390173 0.478897364821631 458 114.43 114.377059056694 0.0529409433053016 0.0529409433055145 0.124760495833000 459 114.28 114.227099266907 0.0529007330926516 0.0529007330925483 -0.172134896941468 460 113 112.947363312219 0.052636687781102 0.0526366877810232 -1.13056897780854 461 113.16 113.369375987298 0.0523439968245342 -0.209375987298005 0.313832641932877 462 112.59 112.538696078447 0.0513039215531381 0.0513039215530024 -0.747287530488417 463 113.65 113.598498333675 0.0515016663243867 0.0515016663245813 0.855578843848064 464 113.18 113.12860054882 0.0513994511800964 0.051399451179984 -0.442339185058978 465 113.21 113.158604742324 0.0513952576760451 0.0513952576759687 -0.0181510752291164 466 113.11 113.315251025529 0.0513127563822977 -0.205251025529076 0.0894228269371268 467 112.78 112.729429679938 0.0505703200624826 0.0505703200623785 -0.539209005727726 468 112.57 112.519480217238 0.0505197827622529 0.0505197827624399 -0.221016707701697 469 111.87 111.819625751421 0.0503742485790957 0.050374248578997 -0.636593663203511 470 111.94 111.889621946506 0.0503780534940657 0.050378053493984 0.0166466354545005 471 113.18 113.377054503227 0.0492636258067369 -0.197054503226853 1.22092239983437 472 113.67 113.620512476022 0.0494875239776818 0.0494875239775766 0.16435149077868 473 115.15 115.10023795818 0.0497620418198608 0.0497620418200069 1.21336720685694 474 114.41 114.360389485817 0.0496105141833316 0.0496105141832503 -0.669879778381144 475 112.88 112.830692499535 0.0493075004649858 0.049307500464951 -1.33983289220641 476 112.44 112.637972843698 0.0494932109244012 -0.197972843697523 -0.205623068095666 477 113.48 113.429660019008 0.0503399809919134 0.0503399809918307 0.628152416104144 478 112.78 112.729802506661 0.0501974933388997 0.0501974933390599 -0.636442432174492 479 112.59 112.539848110894 0.0501518891062683 0.0501518891061559 -0.203736817298308 480 113.31 113.259720956735 0.0502790432654761 0.0502790432654226 0.568168812878085 481 113.21 113.410809992371 0.0502024980928544 -0.200809992371321 0.0856454669660733 482 112.5 112.450937969939 0.0490620300609691 0.0490620300608858 -0.854892220401523 483 113.72 113.670717910181 0.0492820898184575 0.0492820898185792 0.99319689730624 484 114.09 114.040657647515 0.0493423524847653 0.0493423524846686 0.272034938746549 485 113.97 113.920689460845 0.0493105391553575 0.0493105391553121 -0.143637245804337 486 112.5 112.701056377541 0.0502640943851928 -0.201056377540678 -1.07804361856844 487 111.28 111.231434418619 0.0485655813814128 0.04856558138137 -1.28640908652069 488 111.35 111.301430431561 0.0485695684384464 0.0485695684385663 0.0181808251875673 489 110.92 110.871519434643 0.0484805653571179 0.0484805653570378 -0.405926093414752 490 110.73 110.681563778370 0.0484362216298416 0.0484362216297763 -0.202280906077688 491 109 109.198301816777 0.0495754541942135 -0.198301816776756 -1.30124941646404

Charts produced by software:

http://www.freestatistics.org/blog/date/2010/Dec/17/t1292616939qoddp1muerys73t/1oikz1292616939.png (open in new window) http://www.freestatistics.org/blog/date/2010/Dec/17/t1292616939qoddp1muerys73t/1oikz1292616939.ps (open in new window) http://www.freestatistics.org/blog/date/2010/Dec/17/t1292616939qoddp1muerys73t/2oikz1292616939.png (open in new window) http://www.freestatistics.org/blog/date/2010/Dec/17/t1292616939qoddp1muerys73t/2oikz1292616939.ps (open in new window) http://www.freestatistics.org/blog/date/2010/Dec/17/t1292616939qoddp1muerys73t/3grjk1292616939.png (open in new window) http://www.freestatistics.org/blog/date/2010/Dec/17/t1292616939qoddp1muerys73t/3grjk1292616939.ps (open in new window) http://www.freestatistics.org/blog/date/2010/Dec/17/t1292616939qoddp1muerys73t/49i0n1292616939.png (open in new window) http://www.freestatistics.org/blog/date/2010/Dec/17/t1292616939qoddp1muerys73t/49i0n1292616939.ps (open in new window) http://www.freestatistics.org/blog/date/2010/Dec/17/t1292616939qoddp1muerys73t/59i0n1292616939.png (open in new window) http://www.freestatistics.org/blog/date/2010/Dec/17/t1292616939qoddp1muerys73t/59i0n1292616939.ps (open in new window)

Parameters (Session):

par1 = additive ; par2 = 12 ;

Parameters (R input):

par1 = 5 ; par2 = 12 ;

R code (references can be found in the software module):

par1 <- 5 nx <- length(x) x <- ts(x,frequency=par1) m <- StructTS(x,type='BSM') m$coef m$fitted m$resid mylevel <- as.numeric(m$fitted[,'level']) myslope <- as.numeric(m$fitted[,'slope']) myseas <- as.numeric(m$fitted[,'sea']) myresid <- as.numeric(m$resid) myfit <- mylevel+myseas mylagmax <- nx/2 bitmap(file='test2.png') op <- par(mfrow = c(2,2)) acf(as.numeric(x),lag.max = mylagmax,main='Observed') acf(mylevel,na.action=na.pass,lag.max = mylagmax,main='Level') acf(myseas,na.action=na.pass,lag.max = mylagmax,main='Seasonal') acf(myresid,na.action=na.pass,lag.max = mylagmax,main='Standardized Residals') par(op) dev.off() bitmap(file='test3.png') op <- par(mfrow = c(2,2)) spectrum(as.numeric(x),main='Observed') spectrum(mylevel,main='Level') spectrum(myseas,main='Seasonal') spectrum(myresid,main='Standardized Residals') par(op) dev.off() bitmap(file='test4.png') op <- par(mfrow = c(2,2)) cpgram(as.numeric(x),main='Observed') cpgram(mylevel,main='Level') cpgram(myseas,main='Seasonal') cpgram(myresid,main='Standardized Residals') par(op) dev.off() bitmap(file='test1.png') plot(as.numeric(m$resid),main='Standardized Residuals',ylab='Residuals',xlab='time',type='b') grid() dev.off() bitmap(file='test5.png') op <- par(mfrow = c(2,2)) hist(m$resid,main='Residual Histogram') plot(density(m$resid),main='Residual Kernel Density') qqnorm(m$resid,main='Residual Normal QQ Plot') qqline(m$resid) plot(m$resid^2, myfit^2,main='Sq.Resid vs. Sq.Fit',xlab='Squared residuals',ylab='Squared Fit') par(op) dev.off() load(file='createtable') a<-table.start() a<-table.row.start(a) a<-table.element(a,'Structural Time Series Model',6,TRUE) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,'t',header=TRUE) a<-table.element(a,'Observed',header=TRUE) a<-table.element(a,'Level',header=TRUE) a<-table.element(a,'Slope',header=TRUE) a<-table.element(a,'Seasonal',header=TRUE) a<-table.element(a,'Stand. Residuals',header=TRUE) a<-table.row.end(a) for (i in 1:nx) { a<-table.row.start(a) a<-table.element(a,i,header=TRUE) a<-table.element(a,x[i]) a<-table.element(a,mylevel[i]) a<-table.element(a,myslope[i]) a<-table.element(a,myseas[i]) a<-table.element(a,myresid[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

Disclaimer

Information provided on this web site is provided "AS IS" without warranty of any kind, either express or implied, including, without limitation, warranties of merchantability, fitness for a particular purpose, and noninfringement. We use reasonable efforts to include accurate and timely information and periodically update the information, and software without notice. However, we make no warranties or representations as to the accuracy or completeness of such information (or software), and we assume no liability or responsibility for errors or omissions in the content of this web site, or any software bugs in online applications. Your use of this web site is AT YOUR OWN RISK. Under no circumstances and under no legal theory shall we be liable to you or any other person for any direct, indirect, special, incidental, exemplary, or consequential damages arising from your access to, or use of, this web site.

Privacy Policy

We may request personal information to be submitted to our servers in order to be able to:

• personalize online software applications according to your needs
• enforce strict security rules with respect to the data that you upload (e.g. statistical data)
• manage user sessions of online applications
• alert you about important changes or upgrades in resources or applications

We NEVER allow other companies to directly offer registered users information about their products and services. Banner references and hyperlinks of third parties NEVER contain any personal data of the visitor.

We do NOT sell, nor transmit by any means, personal information, nor statistical data series uploaded by you to third parties.

We carefully protect your data from loss, misuse, alteration, and destruction. However, at any time, and under any circumstance you are solely responsible for managing your passwords, and keeping them secret.

We store a unique ANONYMOUS USER ID in the form of a small 'Cookie' on your computer. This allows us to track your progress when using this website which is necessary to create state-dependent features. The cookie is used for NO OTHER PURPOSE. At any time you may opt to disallow cookies from this website - this will not affect other features of this website.

We examine cookies that are used by third-parties (banner and online ads) very closely: abuse from third-parties automatically results in termination of the advertising contract without refund. We have very good reason to believe that the cookies that are produced by third parties (banner ads) do NOT cause any privacy or security risk.

FreeStatistics.org is safe. There is no need to download any software to use the applications and services contained in this website. Hence, your system's security is not compromised by their use, and your personal data - other than data you submit in the account application form, and the user-agent information that is transmitted by your browser - is never transmitted to our servers.

As a general rule, we do not log on-line behavior of individuals (other than normal logging of webserver 'hits'). However, in cases of abuse, hacking, unauthorized access, Denial of Service attacks, illegal copying, hotlinking, non-compliance with international webstandards (such as robots.txt), or any other harmful behavior, our system engineers are empowered to log, track, identify, publish, and ban misbehaving individuals - even if this leads to ban entire blocks of IP addresses, or disclosing user's identity.

FreeStatistics.org is powered by