| | *The author of this computation has been verified* | R Software Module: /rwasp_multipleregression.wasp (opens new window with default values) | Title produced by software: Multiple Regression | Date of computation: Wed, 22 Dec 2010 16:12:32 +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/22/t12930361269ceg8mjpnis8jqh.htm/, Retrieved Wed, 22 Dec 2010 17:42:21 +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/22/t12930361269ceg8mjpnis8jqh.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 « | 3.567 2.217 1.061
3.536 2.176 1.041
3.538 2.146 1.021
3.638 2.297 1.000
3.635 2.332 0.929
3.646 2.352 1.000
3.552 2.230 1.000
3.557 2.204 0.903
3.489 2.352 1.000
3.375 1.978 1.176
3.443 1.987 1.190
3.264 1.663 1.312
3.427 1.940 1.243
3.376 1.978 1.243
3.349 2.053 1.097
3.664 2.332 1.146
3.641 2.301 1.176
3.675 2.286 1.267
3.328 1.944 1.161
3.348 1.978 1.146
3.522 2.000 1.190
3.517 2.000 1.190
3.624 2.217 1.079
3.612 2.176 1.114
3.676 2.230 1.079
3.711 2.243 1.079
3.382 1.857 1.279
3.516 2.000 1.176
3.346 1.934 1.146
3.327 1.954 1.146
3.315 1.881 1.161
3.249 1.813 1.279
3.263 1.778 1.279
3.291 1.845 1.312
3.328 1.903 1.230
3.348 1.934 1.217
3.631 2.217 1.079
3.616 2.176 1.130
3.616 2.185 1.114
3.666 2.318 1.041
3.653 2.190 1.130
3.646 2.279 1.097
3.367 1.987 1.130
3.613 2.114 1.146
3.633 2.146 1.204
3.467 2.049 1.161
3.400 1.881 1.255
3.379 1.934 1.204
3.399 1.987 1. etc... | | Output produced by software: | Enter (or paste) a matrix (table) containing all data (time) series. Every column represents a different variable and must be delimited by a space or Tab. Every row represents a period in time (or category) and must be delimited by hard returns. The easiest way to enter data is to copy and paste a block of spreadsheet cells. Please, do not use commas or spaces to seperate groups of digits!
Multiple Linear Regression - Estimated Regression Equation | acceleration
[t] = + 0.813955259261514 + 0.546892420247385weight[t] -0.761706306241142horsepower[t] + e[t] |
Multiple Linear Regression - Regression Statistics | Multiple R | 0.820342111122916 | R-squared | 0.672961179281603 | Adjusted R-squared | 0.671921310217315 | F-TEST (value) | 647.159534208038 | F-TEST (DF numerator) | 2 | F-TEST (DF denominator) | 629 | p-value | 0 | Multiple Linear Regression - Residual Statistics | Residual Standard Deviation | 0.0443887276774951 | Sum Squared Residuals | 1.23935590209607 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error | 1 | 1.061 | 1.07601764134763 | -0.0150176413476296 | 2 | 1.041 | 1.09029393487555 | -0.0492939348755489 | 3 | 1.021 | 1.11423890890328 | -0.0932389089032836 | 4 | 1 | 1.05391049868561 | -0.0539104986856104 | 5 | 0.929 | 1.02561010070643 | -0.0966101007064284 | 6 | 1 | 1.01639179120433 | -0.0163917912043269 | 7 | 1 | 1.05791207306249 | -0.0579120730624921 | 8 | 0.903 | 1.08045089912600 | -0.177450899125998 | 9 | 1 | 0.930529681225488 | 0.0694703187745123 | 10 | 1.176 | 1.15306210385147 | 0.0229378961485269 | 11 | 1.19 | 1.18339543167212 | 0.00660456832787517 | 12 | 1.312 | 1.33229453166997 | -0.020294531669973 | 13 | 1.243 | 1.2104453493415 | 0.0325546506584997 | 14 | 1.243 | 1.15360899627172 | 0.0893910037282798 | 15 | 1.097 | 1.08171492795696 | 0.0152850720430445 | 16 | 1.146 | 1.04146998089360 | 0.104530019106397 | 17 | 1.176 | 1.05250435072139 | 0.123495649278612 | 18 | 1.267 | 1.08252428760342 | 0.184475712396584 | 19 | 1.161 | 1.15325617451204 | 0.00774382548795528 | 20 | 1.146 | 1.13829600850479 | 0.00770399149520634 | 21 | 1.19 | 1.21669775089053 | -0.0266977508905332 | 22 | 1.19 | 1.21396328878930 | -0.0239632887892964 | 23 | 1.079 | 1.10719050930144 | -0.0281905093014386 | 24 | 1.114 | 1.13185775881436 | -0.0178577588143566 | 25 | 1.079 | 1.12572673317317 | -0.0467267331731678 | 26 | 1.079 | 1.13496578590069 | -0.0559657859006913 | 27 | 1.279 | 1.24905681384838 | 0.0299431861516169 | 28 | 1.176 | 1.21341639636905 | -0.0374163963690491 | 29 | 1.146 | 1.17071730113891 | -0.0247173011389093 | 30 | 1.146 | 1.14509221902939 | 0.000907780970613908 | 31 | 1.161 | 1.19413407034202 | -0.0331340703420207 | 32 | 1.279 | 1.20983519943009 | 0.0691648005699087 | 33 | 1.279 | 1.24415141403199 | 0.0348485859680055 | 34 | 1.312 | 1.20843007928076 | 0.103569920719235 | 35 | 1.23 | 1.18448613306793 | 0.0455138669320685 | 36 | 1.217 | 1.17181108597940 | 0.0451889140205962 | 37 | 1.079 | 1.11101875624317 | -0.0320187562431701 | 38 | 1.13 | 1.13404532849535 | -0.00404532849534637 | 39 | 1.114 | 1.12718997173918 | -0.0131899717391760 | 40 | 1.041 | 1.05322765402147 | -0.0122276540214733 | 41 | 1.13 | 1.14361645975712 | -0.0136164597571237 | 42 | 1.097 | 1.07199635155993 | 0.0250036484400698 | 43 | 1.13 | 1.14183160773332 | -0.0118316077333237 | 44 | 1.146 | 1.17963044222156 | -0.0336304422215552 | 45 | 1.204 | 1.16619368882679 | 0.0378063111732138 | 46 | 1.161 | 1.14929505877111 | 0.0117049412288887 | 47 | 1.255 | 1.24061992606305 | 0.0143800739369516 | 48 | 1.204 | 1.18876475100707 | 0.0152352489929271 | 49 | 1.161 | 1.15933216518124 | 0.00166783481876017 | 50 | 1.176 | 1.18831438000966 | -0.0123143800096634 | 51 | 1.114 | 1.08137032871645 | 0.0326296712835524 | 52 | 1.061 | 1.10615381506273 | -0.0451538150627296 | 53 | 1.161 | 1.15882984265652 | 0.00217015734347551 | 54 | 1.097 | 1.11271652410570 | -0.0157165241056983 | 55 | 1.079 | 1.15263967078376 | -0.0736396707837573 | 56 | 1.114 | 1.12965150153774 | -0.0156515015377373 | 57 | 1.041 | 1.04748579751632 | -0.00648579751632387 | 58 | 1.041 | 1.04318951979645 | -0.0021895197964487 | 59 | 1.217 | 1.18538893069254 | 0.0316110693074573 | 60 | 1.255 | 1.21341639636905 | 0.0415836036309509 | 61 | 1.217 | 1.23638382238965 | -0.0193838223896471 | 62 | 1.204 | 1.20118863683324 | 0.00281136316675713 | 63 | 1.146 | 1.17943739937588 | -0.0334373993758791 | 64 | 1.097 | 1.09410554985145 | 0.00289445014855059 | 65 | 1.176 | 1.17458703453148 | 0.00141296546851529 | 66 | 1.29 | 1.24796302900789 | 0.0420369709921120 | 67 | 1.217 | 1.15741752780293 | 0.0595824721970741 | 68 | 1.267 | 1.18436989623457 | 0.0826301037654323 | 69 | 1.146 | 1.12405914579763 | 0.0219408542023723 | 70 | 1.114 | 1.14273646098773 | -0.0287364609877265 | 71 | 0.978 | 1.00057134183820 | -0.0225713418382044 | 72 | 1.19 | 1.20909526416417 | -0.019095264164168 | 73 | 1.146 | 1.18776954321921 | -0.0417695432192079 | 74 | 1.041 | 1.08755947277432 | -0.0465594727743187 | 75 | 1.146 | 1.13241922757065 | 0.0135807724293497 | 76 | 1.041 | 1.04543212444943 | -0.00443212444943233 | 77 | 1.217 | 1.21704851702042 | -4.85170204168276e-05 | 78 | 1.204 | 1.18443109809594 | 0.0195689019040623 | 79 | 1.217 | 1.21784657070302 | -0.000846570703021824 | 80 | 1.322 | 1.21803858573380 | 0.103961414266198 | 81 | 1.23 | 1.24732372642439 | -0.0173237264243867 | 82 | 1.255 | 1.20624970430405 | 0.0487502956959528 | 83 | 1.146 | 1.15744341010283 | -0.0114434101028281 | 84 | 1.161 | 1.1646713040292 | -0.00367130402919975 | 85 | 1.204 | 1.18424113869495 | 0.0197588613050502 | 86 | 1.19 | 1.14115492995856 | 0.0488450700414377 | 87 | 1.19 | 1.22399628393984 | -0.0339962839398412 | 88 | 1.161 | 1.21145924472500 | -0.0504592447249953 | 89 | 1.279 | 1.26014827427795 | 0.0188517257220454 | 90 | 1.161 | 1.20526701722244 | -0.0442670172224362 | 91 | 1.146 | 1.21839243530837 | -0.0723924353083735 | 92 | 1.176 | 1.15769148792050 | 0.0183085120795023 | 93 | 1.204 | 1.22837142330182 | -0.0243714233018203 | 94 | 1.204 | 1.22908015026586 | -0.0250801502658593 | 95 | 1.29 | 1.31304322701733 | -0.0230432270173268 | 96 | 1.061 | 1.12189848623144 | -0.0608984862314361 | 97 | 1.146 | 1.16242458811663 | -0.0164245881166323 | 98 | 1.13 | 1.16705397218566 | -0.0370539721856574 | 99 | 1.322 | 1.22375026175196 | 0.0982497382480366 | 100 | 1.279 | 1.21281241334702 | 0.0661875866529842 | 101 | 1.279 | 1.26408126516169 | 0.0149187348383081 | 102 | 1.13 | 1.17781129845118 | -0.0478112984511832 | 103 | 1.079 | 1.12066361007257 | -0.0416636100725713 | 104 | 1.23 | 1.22315982725108 | 0.00684017274892007 | 105 | 1.204 | 1.18497799051619 | 0.0190220094838150 | 106 | 1.13 | 1.18118814658061 | -0.0511881465806094 | 107 | 1.217 | 1.23448581697717 | -0.0174858169771712 | 108 | 1.161 | 1.20089598912004 | -0.039895989120041 | 109 | 1.176 | 1.18314118696508 | -0.00714118696507928 | 110 | 1.23 | 1.23146179060742 | -0.00146179060742078 | 111 | 1.13 | 1.11827888628632 | 0.0117211137136777 | 112 | 1.243 | 1.28036152278679 | -0.0373615227867896 | 113 | 1.228 | 1.19052166510118 | 0.037478334898821 | 114 | 1.173 | 1.18286722684751 | -0.00986722684750748 | 115 | 1.185 | 1.18050221847178 | 0.004497781528216 | 116 | 1.114 | 1.16181854946481 | -0.047818549464807 | 117 | 1.143 | 1.19808677663628 | -0.055086776636284 | 118 | 1.107 | 1.13439712244013 | -0.027397122440126 | 119 | 1.161 | 1.20234259572021 | -0.0413425957202114 | 120 | 1.246 | 1.26325835699408 | -0.0172583569940810 | 121 | 1.346 | 1.31653425635033 | 0.0294657436496750 | 122 | 1.344 | 1.28352766828981 | 0.060472331710194 | 123 | 1.248 | 1.23857344770043 | 0.00942655229957147 | 124 | 1.21 | 1.20734348914454 | 0.00265651085545819 | 125 | 1.25 | 1.22361122606339 | 0.0263887739366145 | 126 | 1.23 | 1.21280521864274 | 0.0171947813572562 | 127 | 1.215 | 1.20854837174392 | 0.00645162825607945 | 128 | 1.196 | 1.19671697604843 | -0.000716976048426042 | 129 | 1.121 | 1.12256058767015 | -0.00156058767015127 | 130 | 1.223 | 1.18933649791233 | 0.0336635020876742 | 131 | 1.083 | 1.08754284080848 | -0.00454284080848082 | 132 | 1.176 | 1.16595813171537 | 0.0100418682846294 | 133 | 1.146 | 1.11162273926520 | 0.0343772607347963 | 134 | 1.17 | 1.18722059516917 | -0.0172205951691687 | 135 | 1.27 | 1.25448322378512 | 0.0155167762148831 | 136 | 1.225 | 1.20733629444027 | 0.0176637055597301 | 137 | 1.097 | 1.13070482774228 | -0.0337048277422841 | 138 | 1.137 | 1.14601781550921 | -0.0090178155092108 | 139 | 1.228 | 1.20781151992269 | 0.0201884800773145 | 140 | 1.248 | 1.23747966285993 | 0.0105203371400661 | 141 | 1.045 | 1.07879256208452 | -0.0337925620845227 | 142 | 1.057 | 1.09510075763931 | -0.0381007576393143 | 143 | 1.161 | 1.14781518823926 | 0.0131848117607352 | 144 | 1.161 | 1.17098920562669 | -0.00998920562668877 | 145 | 1.26 | 1.22058000498936 | 0.039419995010637 | 146 | 1.199 | 1.21069959404855 | -0.0116995940485459 | 147 | 1.201 | 1.16628301554535 | 0.0347169844546479 | 148 | 1.215 | 1.22673074604108 | -0.0117307460410779 | 149 | 1.161 | 1.18667678619361 | -0.0256767861936089 | 150 | 1.107 | 1.12695030336818 | -0.0199503033681765 | 151 | 1.332 | 1.33717816044604 | -0.00517816044604358 | 152 | 1.158 | 1.20778460980789 | -0.0497846098078874 | 153 | 1.27 | 1.22210238978695 | 0.0478976102130508 | 154 | 1.121 | 1.13283325119170 | -0.0118332511916958 | 155 | 1.107 | 1.12472741412572 | -0.0177274141257190 | 156 | 1.26 | 1.22087676396215 | 0.0391232360378514 | 157 | 1.199 | 1.24343427762129 | -0.0444342776212851 | 158 | 1.236 | 1.22380735235375 | 0.0121926476462506 | 159 | 1.236 | 1.24353285467392 | -0.00753285467391519 | 160 | 1.223 | 1.25163766392500 | -0.0286376639249959 | 161 | 1.272 | 1.2057028118838 | 0.0662971881162002 | 162 | 1.121 | 1.10117263704893 | 0.0198273629510746 | 163 | 1.127 | 1.05961086873992 | 0.0673891312600839 | 164 | 1.137 | 1.15416205558134 | -0.0171620555813439 | 165 | 1.217 | 1.24054003660605 | -0.0235400366060485 | 166 | 1.167 | 1.13909714563209 | 0.0279028543679133 | 167 | 1.161 | 1.21675175804763 | -0.0557517580476312 | 168 | 1.246 | 1.23468399889733 | 0.011316001102673 | 169 | 1.201 | 1.16851309949208 | 0.0324869005079184 | 170 | 1.134 | 1.12913992867896 | 0.00486007132104205 | 171 | 1.199 | 1.12826198553935 | 0.0707380144606473 | 172 | 1.173 | 1.20823498080530 | -0.0352349808052968 | 173 | 1.22 | 1.23835246692506 | -0.0183524669250591 | 174 | 1.26 | 1.24562184730227 | 0.0143781526977253 | 175 | 1.238 | 1.22599286640495 | 0.0120071335950532 | 176 | 1.22 | 1.18765536201564 | 0.0323446379843640 | 177 | 1.188 | 1.16377056203438 | 0.0242294379656189 | 178 | 1.121 | 1.15107579953533 | -0.0300757995353271 | 179 | 1.182 | 1.15103636871428 | 0.0309636312857246 | 180 | 1.155 | 1.14795114048315 | 0.00704885951684541 | 181 | 1.176 | 1.1619534738938 | 0.0140465261061990 | 182 | 1.146 | 1.20003159450159 | -0.0540315945015861 | 183 | 1.182 | 1.23553914318172 | -0.0535391431817181 | 184 | 1.176 | 1.23862848267242 | -0.0626284826724227 | 185 | 1.394 | 1.32034792695601 | 0.0736520730439894 | 186 | 1.346 | 1.25829895002059 | 0.0877010499794057 | 187 | 1.173 | 1.23085266851091 | -0.0578526685109073 | 188 | 1.283 | 1.24046117496394 | 0.0425388250360552 | 189 | 1.204 | 1.19978146105412 | 0.00421853894587553 | 190 | 1.053 | 1.11116928482311 | -0.0581692848231063 | 191 | 1.121 | 1.18939050506942 | -0.0683905050694241 | 192 | 1.167 | 1.20288434906598 | -0.0358843490659788 | 193 | 1.19 | 1.22757131398942 | -0.0375713139894232 | 194 | 1.215 | 1.24046117496394 | -0.0254611749639447 | 195 | 1.258 | 1.22435218914420 | 0.0336478108557952 | 196 | 1.303 | 1.22767297448674 | 0.0753270255132589 | 197 | 1.199 | 1.19942761147955 | -0.000427611479552728 | 198 | 1.19 | 1.20306281557561 | -0.0130628155756087 | 199 | 1.176 | 1.16974180876157 | 0.00625819123842963 | 200 | 1.182 | 1.22058000498936 | -0.038580004989363 | 201 | 1.158 | 1.15968498694092 | -0.0016849869409157 | 202 | 1.283 | 1.25085213094864 | 0.0321478690513551 | 203 | 1.299 | 1.32079624232363 | -0.0217962423236282 | 204 | 1.14 | 1.20977708101341 | -0.0697770810134092 | 205 | 1.185 | 1.23512820300536 | -0.0501282030053606 | 206 | 1.179 | 1.19153864392936 | -0.0125386439293617 | 207 | 1.196 | 1.20567898521369 | -0.00967898521368979 | 208 | 1.215 | 1.21935129571987 | -0.00435129571987421 | 209 | 1.1 | 1.13788815177312 | -0.0378881517731241 | 210 | 1.111 | 1.19528802922899 | -0.0842880292289894 | 211 | 1.215 | 1.22829256165972 | -0.0132925616597163 | 212 | 1.207 | 1.23485424288779 | -0.0278542428877888 | 213 | 1.288 | 1.23553914318172 | 0.0524608568182819 | 214 | 1.238 | 1.26028525433674 | -0.0222852543367402 | 215 | 1.173 | 1.27300076006122 | -0.100000760061216 | 216 | 1.21 | 1.24374252948543 | -0.0337425294854289 | 217 | 1.152 | 1.21694685652310 | -0.0649468565230991 | 218 | 1.17 | 1.15927404676456 | 0.0107259532354420 | 219 | 1.31 | 1.28347366113271 | 0.0265263388672921 | 220 | 1.14 | 1.12644386958388 | 0.0135561304161231 | 221 | 1.199 | 1.19148360895737 | 0.00751639104263238 | 222 | 1.233 | 1.23966517691113 | -0.00666517691113149 | 223 | 1.22 | 1.28062296219811 | -0.0606229621981073 | 224 | 1.27 | 1.2046640620153 | 0.065335937984701 | 225 | 1.255 | 1.18114768794466 | 0.0738523120553385 | 226 | 1.204 | 1.20896033973517 | -0.0049603397351742 | 227 | 1.255 | 1.20525038525660 | 0.0497496147434017 | 228 | 1.185 | 1.19343048245246 | -0.00843048245246159 | 229 | 1.246 | 1.2192112322164 | 0.0267887677835994 | 230 | 1.167 | 1.26315669649676 | -0.096156696496763 | 231 | 1.161 | 1.15653752903353 | 0.00446247096647085 | 232 | 1.161 | 1.21401729594639 | -0.0530172959463943 | 233 | 1.196 | 1.22399628393984 | -0.0279962839398412 | 234 | 1.215 | 1.15648249406154 | 0.058517505938465 | 235 | 1.23 | 1.24726252456302 | -0.0172625245630169 | 236 | 1.143 | 1.17790679205913 | -0.0349067920591251 | 237 | 1.238 | 1.22329783512476 | 0.0147021648752380 | 238 | 1.193 | 1.22540654316365 | -0.0324065431636476 | 239 | 1.064 | 1.18653775050503 | -0.122537750505031 | 240 | 1.27 | 1.23806187484165 | 0.0319381251583507 | 241 | 1.255 | 1.16760824623768 | 0.087391753762321 | 242 | 1.23 | 1.26622015368757 | -0.0362201536875657 | 243 | 1.23 | 1.24518605264091 | -0.0151860526409115 | 244 | 1.204 | 1.23485424288779 | -0.0308542428877889 | 245 | 1.279 | 1.20983519943009 | 0.0691648005699087 | 246 | 1.255 | 1.28036152278679 | -0.0253615227867898 | 247 | 1.23 | 1.28036152278679 | -0.0503615227867897 | 248 | 1.146 | 1.20778460980789 | -0.0617846098078874 | 249 | 1.204 | 1.23977627467002 | -0.0357762746700154 | 250 | 1.079 | 1.18745306883590 | -0.108453068835896 | 251 | 1.279 | 1.25448322378512 | 0.0245167762148830 | 252 | 1.279 | 1.24415141403199 | 0.0348485859680055 | 253 | 1.322 | 1.33229453166997 | -0.010294531669973 | 254 | 1.322 | 1.21803858573380 | 0.103961414266198 | 255 | 1.176 | 1.23512820300536 | -0.0591282030053607 | 256 | 1.146 | 1.20977708101341 | -0.0637770810134092 | 257 | 1.301 | 1.31555670834319 | -0.0145567083431941 | 258 | 1.204 | 1.22829256165972 | -0.0242925616597164 | 259 | 1.146 | 1.15932908173655 | -0.0133290817365521 | 260 | 1.146 | 1.20003159450159 | -0.0540315945015861 | 261 | 1.146 | 1.20624250959978 | -0.0602425095997752 | 262 | 1.146 | 1.20624250959978 | -0.0602425095997752 | 263 | 1.176 | 1.17098920562669 | 0.00501079437331113 | 264 | 1.23 | 1.20733629444027 | 0.0226637055597300 | 265 | 1.322 | 1.34651373459641 | -0.0245137345964051 | 266 | 1.279 | 1.2223556066791 | 0.0566443933209009 | 267 | 1.322 | 1.20843007928076 | 0.113569920719235 | 268 | 1.204 | 1.22399628393984 | -0.0199962839398412 | 269 | 1.176 | 1.22399628393984 | -0.0479962839398412 | 270 | 1.204 | 1.22399628393984 | -0.0199962839398412 | 271 | 1.279 | 1.26110507905966 | 0.0178949209403365 | 272 | 1.255 | 1.2192112322164 | 0.0357887677835993 | 273 | 1.176 | 1.23553914318172 | -0.0595391431817182 | 274 | 1.279 | 1.23553914318172 | 0.0434608568182818 | 275 | 1.176 | 1.19343048245246 | -0.0174304824524617 | 276 | 1.342 | 1.33717816044604 | 0.00482183955395642 | 277 | 1.204 | 1.22673074604108 | -0.0227307460410781 | 278 | 1.279 | 1.31051843972760 | -0.0315184397276038 | 279 | 1.204 | 1.22139880189739 | -0.0173988018973902 | 280 | 1.176 | 1.20823498080530 | -0.0322349808052970 | 281 | 1.23 | 1.21280521864274 | 0.0171947813572562 | 282 | 1.204 | 1.22782453088157 | -0.0238245308815727 | 283 | 1.204 | 1.22837142330182 | -0.0243714233018203 | 284 | 1.279 | 1.26014827427795 | 0.0188517257220454 | 285 | 1.204 | 1.24046117496394 | -0.0364611749639448 | 286 | 1.279 | 1.24046117496394 | 0.0385388250360552 | 287 | 1.255 | 1.22577394125937 | 0.0292260587406307 | 288 | 1.342 | 1.31653425635033 | 0.0254657436496750 | 289 | 1.204 | 1.24374252948543 | -0.0397425294854289 | 290 | 1.279 | 1.22850840336061 | 0.0504915966393939 | 291 | 1.23 | 1.26028525433674 | -0.0302852543367402 | 292 | 1.23 | 1.25495331019305 | -0.0249533101930523 | 293 | 1.176 | 1.19413407034202 | -0.0181340703420208 | 294 | 1.255 | 1.23602791718528 | 0.0189720828147164 | 295 | 1.279 | 1.22210238978695 | 0.0568976102130507 | 296 | 1.301 | 1.22264928220720 | 0.0783507177928032 | 297 | 1.204 | 1.16628301554535 | 0.0377169844546478 | 298 | 1.342 | 1.34866290127124 | -0.00666290127123861 | 299 | 1.23 | 1.14997481999056 | 0.0800251800094394 | 300 | 1.204 | 1.20362633996169 | 0.000373660038305975 | 301 | 1.255 | 1.25085213094864 | 0.00414786905135505 | 302 | 1.279 | 1.25085213094864 | 0.0281478690513551 | 303 | 1.204 | 1.22757131398942 | -0.0235713139894232 | 304 | 1.146 | 1.14509221902939 | 0.000907780970613908 | 305 | 1.146 | 1.14509221902939 | 0.000907780970613908 | 306 | 1.176 | 1.20526701722244 | -0.0292670172224363 | 307 | 1.176 | 1.26315669649676 | -0.0871566964967631 | 308 | 1.23 | 1.22811820640967 | 0.00188179359032949 | 309 | 1.23 | 1.18448613306793 | 0.0455138669320685 | 310 | 1.176 | 1.23323533666736 | -0.0572353366673647 | 311 | 1.398 | 1.32692521233503 | 0.0710747876649748 | 312 | 1.176 | 1.15325617451204 | 0.0227438254879552 | 313 | 1.176 | 1.15325617451204 | 0.0227438254879552 | 314 | 1.23 | 1.23835246692506 | -0.0083524669250591 | 315 | 1.176 | 1.20288434906598 | -0.0268843490659789 | 316 | 1.255 | 1.24477819590924 | 0.0102218040907582 | 317 | 1.176 | 1.23085266851091 | -0.0548526685109074 | 318 | 1.176 | 1.18722059516917 | -0.0112205951691687 | 319 | 1.23 | 1.24054003660605 | -0.0105400366060486 | 320 | 1.204 | 1.20854837174392 | -0.00454837174392067 | 321 | 1.204 | 1.20909526416417 | -0.00509526416416799 | 322 | 1.176 | 1.15653752903353 | 0.0194624709664708 | 323 | 1.176 | 1.18831438000966 | -0.0123143800096634 | 324 | 1.342 | 1.28352766828981 | 0.058472331710194 | 325 | 1.204 | 1.21073594142491 | -0.00673594142491021 | 326 | 1.204 | 1.19942761147955 | 0.00457238852044717 | 327 | 1.255 | 1.23979804571033 | 0.0152019542896666 | 328 | 1.146 | 1.19942761147955 | -0.0534276114795529 | 329 | 1.146 | 1.21694685652310 | -0.0709468565230991 | 330 | 1.114 | 1.23632159271338 | -0.122321592713381 | 331 | 1.176 | 1.18050221847178 | -0.00450221847178412 | 332 | 1.176 | 1.21401729594639 | -0.0380172959463944 | 333 | 1.146 | 1.21456418836664 | -0.0685641883666418 | 334 | 1.176 | 1.27300076006122 | -0.0970007600612162 | 335 | 1.23 | 1.18214289573253 | 0.0478571042674737 | 336 | 1.146 | 1.17071730113891 | -0.0247173011389093 | 337 | 1.23 | 1.19052166510118 | 0.039478334898821 | 338 | 1.23 | 1.23448581697717 | -0.00448581697717134 | 339 | 1.23 | 1.17181108597940 | 0.0581889140205961 | 340 | 1.146 | 1.13829600850479 | 0.00770399149520634 | 341 | 1.176 | 1.21675175804763 | -0.0407517580476313 | 342 | 1.114 | 1.08171492795696 | 0.0322850720430446 | 343 | 1.23 | 1.24124362449561 | -0.0112436244956077 | 344 | 1.146 | 1.21839243530837 | -0.0723924353083735 | 345 | 1.38 | 1.32841022194135 | 0.0515897780586482 | 346 | 1.255 | 1.20196697510532 | 0.0530330248946778 | 347 | 1.204 | 1.16040520679631 | 0.0435947932036872 | 348 | 1.204 | 1.16040520679631 | 0.0435947932036872 | 349 | 1.255 | 1.22058000498936 | 0.0344199950106369 | 350 | 1.176 | 1.22058000498936 | -0.044580004989363 | 351 | 1.204 | 1.14376493270727 | 0.0602350672927324 | 352 | 1.279 | 1.16966294711947 | 0.109337052880533 | 353 | 1.23 | 1.15497571341489 | 0.0750242865851091 | 354 | 1.23 | 1.23702518060294 | -0.00702518060294042 | 355 | 1.079 | 1.18653775050503 | -0.107537750505032 | 356 | 1.204 | 1.14290567716329 | 0.0610943228367075 | 357 | 1.176 | 1.21145924472500 | -0.0354592447249954 | 358 | 1.176 | 1.13909714563209 | 0.0369028543679132 | 359 | 1.279 | 1.18436989623457 | 0.0946301037654323 | 360 | 1.146 | 1.14183160773332 | 0.00416839226667634 | 361 | 1.38 | 1.37546062986336 | 0.00453937013663945 | 362 | 1.23 | 1.22933028371332 | 0.000669716286678877 | 363 | 1.114 | 1.19419424438849 | -0.0801942443884946 | 364 | 1.176 | 1.15306210385147 | 0.0229378961485269 | 365 | 1.255 | 1.15360899627172 | 0.101391003728280 | 366 | 1.23 | 1.15741752780293 | 0.072582472197074 | 367 | 1.322 | 1.27983742922176 | 0.0421625707782439 | 368 | 1.114 | 1.19528802922899 | -0.0812880292289893 | 369 | 1.204 | 1.16286673659487 | 0.041133263405126 | 370 | 1.204 | 1.18876475100707 | 0.0152352489929271 | 371 | 1.255 | 1.18114768794466 | 0.0738523120553385 | 372 | 1.301 | 1.24796302900789 | 0.0530369709921119 | 373 | 1.176 | 1.14948810161679 | 0.0265118983832131 | 374 | 1.279 | 1.24905681384838 | 0.0299431861516169 | 375 | 1.301 | 1.17517130214299 | 0.125828697857008 | 376 | 1.114 | 1.14122659689639 | -0.0272265968963942 | 377 | 1.176 | 1.17735887182398 | -0.00135887182398181 | 378 | 1.176 | 1.16974180876157 | 0.00625819123842963 | 379 | 1.23 | 1.21784657070302 | 0.0121534292969781 | 380 | 1.204 | 1.19587435247029 | 0.00812564752971119 | 381 | 1.146 | 1.12405914579763 | 0.0219408542023723 | 382 | 1.176 | 1.15769148792050 | 0.0183085120795023 | 383 | 1.204 | 1.20567898521369 | -0.00167898521368978 | 384 | 1.176 | 1.19153864392936 | -0.0155386439293618 | 385 | 1.176 | 1.15933216518124 | 0.0166678348187601 | 386 | 1.255 | 1.24061992606305 | 0.0143800739369516 | 387 | 1.176 | 1.16728130677790 | 0.00871869322209505 | 388 | 1.204 | 1.20896033973517 | -0.0049603397351742 | 389 | 1.23 | 1.24792462600173 | -0.0179246260017321 | 390 | 1.255 | 1.24792462600173 | 0.00707537399826785 | 391 | 1.23 | 1.16316041212297 | 0.0668395878770284 | 392 | 1.114 | 1.18939050506942 | -0.075390505069424 | 393 | 1.146 | 1.17110955371964 | -0.0251095537196367 | 394 | 1.146 | 1.26382290919506 | -0.117822909195062 | 395 | 1.176 | 1.18286722684751 | -0.00686722684750759 | 396 | 1.204 | 1.21007383998619 | -0.00607383998619481 | 397 | 1.146 | 1.18776954321921 | -0.0417695432192079 | 398 | 1.176 | 1.18396101168800 | -0.00796101168800223 | 399 | 1.204 | 1.21116762482669 | -0.00716762482668946 | 400 | 1.279 | 1.23989765057786 | 0.0391023494221406 | 401 | 1.041 | 1.11116928482311 | -0.0701692848231064 | 402 | 1.114 | 1.12695030336818 | -0.0129503033681764 | 403 | 1.301 | 1.20138270749381 | 0.0996172925061854 | 404 | 1.176 | 1.15927404676456 | 0.0167259532354420 | 405 | 1.146 | 1.18724236620949 | -0.0412423662094867 | 406 | 1.279 | 1.23806187484165 | 0.0409381251583506 | 407 | 1.114 | 1.16146161644555 | -0.0474616164455473 | 408 | 1.204 | 1.21935129571987 | -0.0153512957198743 | 409 | 1.255 | 1.26124514256314 | -0.00624514256313716 | 410 | 1.23 | 1.22315982725108 | 0.00684017274892007 | 411 | 1.279 | 1.2046640620153 | 0.0743359379847009 | 412 | 1.176 | 1.19759389137313 | -0.0215938913731350 | 413 | 1.146 | 1.13241922757065 | 0.0135807724293497 | 414 | 1.146 | 1.17790679205913 | -0.0319067920591252 | 415 | 1.176 | 1.23862848267242 | -0.0626284826724227 | 416 | 1.204 | 1.19978146105412 | 0.00421853894587553 | 417 | 1.146 | 1.11827888628632 | 0.0277211137136777 | 418 | 1.255 | 1.2104453493415 | 0.0445546506584995 | 419 | 1.23 | 1.20032835347437 | 0.0296716465256282 | 420 | 1.176 | 1.18314118696508 | -0.00714118696507928 | 421 | 1.114 | 1.12046645596731 | -0.00646645596731164 | 422 | 1.146 | 1.18118814658061 | -0.0351881465806094 | 423 | 1.204 | 1.20306281557561 | 0.00093718442439135 | 424 | 1.176 | 1.21177366347852 | -0.035773663478515 | 425 | 1.279 | 1.23462485266575 | 0.0443751473342507 | 426 | 1.146 | 1.13788815177312 | 0.00811184822687576 | 427 | 1.114 | 1.13788815177312 | -0.0238881517731241 | 428 | 1.255 | 1.20525038525660 | 0.0497496147434017 | 429 | 1.204 | 1.21341434073926 | -0.00941434073925718 | 430 | 1.23 | 1.15530984757894 | 0.0746901524210634 | 431 | 1.204 | 1.21069959404855 | -0.00669959404854603 | 432 | 1.204 | 1.18339543167212 | 0.0206045683278752 | 433 | 1.176 | 1.17458703453148 | 0.00141296546851529 | 434 | 1.204 | 1.22540654316365 | -0.0214065431636477 | 435 | 1.204 | 1.12866984227102 | 0.0753301577289774 | 436 | 1.146 | 1.15968498694092 | -0.0136849869409157 | 437 | 1.146 | 1.11072096945549 | 0.0352790305445112 | 438 | 1.176 | 1.18667678619361 | -0.0106767861936090 | 439 | 1.204 | 1.16851309949208 | 0.0354869005079183 | 440 | 1.204 | 1.19517282021052 | 0.00882717978947842 | 441 | 1.176 | 1.14163856488765 | 0.0343614351123521 | 442 | 1.255 | 1.23468399889733 | 0.0203160011026729 | 443 | 1.204 | 1.20857117059913 | -0.00457117059913444 | 444 | 1.204 | 1.14437302698888 | 0.059626973011115 | 445 | 1.255 | 1.22435218914420 | 0.0306478108557951 | 446 | 1.23 | 1.22599286640495 | 0.00400713359505319 | 447 | 1.114 | 1.13513500207626 | -0.0211350020762571 | 448 | 1.204 | 1.18443109809594 | 0.0195689019040623 | 449 | 1.204 | 1.20118863683324 | 0.00281136316675713 | 450 | 1.041 | 1.09281152746101 | -0.0518115274610069 | 451 | 1.204 | 1.18497799051619 | 0.0190220094838150 | 452 | 1.204 | 1.16148235967097 | 0.0425176403290304 | 453 | 1.146 | 1.12644386958388 | 0.0195561304161231 | 454 | 1.176 | 1.14929505877111 | 0.0267049412288886 | 455 | 1.204 | 1.18771245261742 | 0.0162875473825781 | 456 | 1.204 | 1.15648249406154 | 0.0475175059384649 | 457 | 1.176 | 1.19456780937359 | -0.0185678093735921 | 458 | 1.23 | 1.22329783512476 | 0.00670216487523797 | 459 | 1.301 | 1.32079624232363 | -0.0197962423236282 | 460 | 1.23 | 1.23146179060742 | -0.00146179060742078 | 461 | 1.146 | 1.15812317132228 | -0.0121231713222774 | 462 | 1.204 | 1.24343427762129 | -0.0394342776212852 | 463 | 1.301 | 1.23614929309313 | 0.0648507069068724 | 464 | 1.176 | 1.20089598912004 | -0.0248959891200411 | 465 | 1.255 | 1.24562184730227 | 0.0093781526977252 | 466 | 1.301 | 1.22767297448674 | 0.0733270255132589 | 467 | 1.255 | 1.26325835699408 | -0.00825835699408107 | 468 | 1.23 | 1.24726252456302 | -0.0172625245630169 | 469 | 1.23 | 1.23638382238965 | -0.00638382238964718 | 470 | 1.176 | 1.16413898794500 | 0.0118610120550013 | 471 | 1.23 | 1.23966517691113 | -0.0096651769111316 | 472 | 1.23 | 1.25163766392500 | -0.021637663924996 | 473 | 1.255 | 1.23368879110946 | 0.0213112088905378 | 474 | 1 | 0.930529681225488 | 0.0694703187745123 | 475 | 1.23 | 1.21704851702042 | 0.0129514829795831 | 476 | 1.23 | 1.18538893069254 | 0.0446110693074573 | 477 | 1.176 | 1.24568099353385 | -0.0696809935338527 | 478 | 1.146 | 1.12913992867896 | 0.0168600713210421 | 479 | 1.204 | 1.19671697604843 | 0.00728302395157397 | 480 | 1.255 | 1.22087676396215 | 0.0341232360378512 | 481 | 1.301 | 1.31304322701733 | -0.0120432270173269 | 482 | 1.301 | 1.29530916808779 | 0.00569083191221318 | 483 | 1.079 | 1.12066361007257 | -0.0416636100725713 | 484 | 1.398 | 1.32034792695601 | 0.0776520730439894 | 485 | 1.255 | 1.22361122606339 | 0.0313887739366144 | 486 | 1.041 | 1.09902347037409 | -0.0580234703740919 | 487 | 1.23 | 1.24353285467392 | -0.0135328546739152 | 488 | 1.23 | 1.24353285467392 | -0.0135328546739152 | 489 | 1.146 | 1.17781129845118 | -0.0318112984511832 | 490 | 1.301 | 1.28347366113271 | 0.0175263388672919 | 491 | 1.176 | 1.21013504184756 | -0.0341350418475646 | 492 | 1.176 | 1.16421784958710 | 0.0117821504128974 | 493 | 1.342 | 1.34376572397402 | -0.00176572397401809 | 494 | 1.204 | 1.22908015026586 | -0.0250801502658593 | 495 | 1.255 | 1.24736110161565 | 0.00763889838435323 | 496 | 1.342 | 1.25552505709831 | 0.0864749429016944 | 497 | 1.255 | 1.21341639636905 | 0.0415836036309509 | 498 | 1.176 | 1.21341639636905 | -0.0374163963690491 | 499 | 1.204 | 1.21396328878930 | -0.00996328878929635 | 500 | 1.204 | 1.25771262677930 | -0.0537126267792952 | 501 | 1.204 | 1.21669775089053 | -0.0126977508905332 | 502 | 1.23 | 1.21724464331078 | 0.0127553566892192 | 503 | 1.176 | 1.20234259572021 | -0.0263425957202115 | 504 | 1.23 | 1.18765536201564 | 0.0423446379843641 | 505 | 1.204 | 1.18820225443588 | 0.0157977455641165 | 506 | 1.204 | 1.2045301654012 | -0.000530165401201048 | 507 | 1.279 | 1.25556448791936 | 0.0234355120806424 | 508 | 1.041 | 1.08755947277432 | -0.0465594727743187 | 509 | 1.176 | 1.16253876932020 | 0.0134612306797958 | 510 | 1.204 | 1.12826198553935 | 0.0757380144606472 | 511 | 1.204 | 1.19148360895737 | 0.0125163910426323 | 512 | 1.342 | 1.25829895002059 | 0.0837010499794057 | 513 | 1.23 | 1.20781151992269 | 0.0221884800773146 | 514 | 1.114 | 1.10117263704893 | 0.0128273629510747 | 515 | 1.23 | 1.22380735235375 | 0.00619264764625063 | 516 | 1.322 | 1.33327824656648 | -0.0112782465664799 | 517 | 1.079 | 1.09029393487556 | -0.0112939348755556 | 518 | 1.041 | 1.09029393487556 | -0.0492939348755556 | 519 | 1.204 | 1.20835841234293 | -0.00435841234293279 | 520 | 1.114 | 1.05961086873992 | 0.054389131260084 | 521 | 1.041 | 1.11423890890328 | -0.0732389089032847 | 522 | 1.204 | 1.20999908960367 | -0.00599908960367502 | 523 | 1.23 | 1.28062296219811 | -0.0506229621981073 | 524 | 1.079 | 1.14244175764473 | -0.063441757644733 | 525 | 1.204 | 1.19914010284083 | 0.00485989715916877 | 526 | 1.279 | 1.23722541815289 | 0.0417745818471118 | 527 | 1.301 | 1.31775147272846 | -0.0167514727284556 | 528 | 1.279 | 1.21492112138590 | 0.0640788786140985 | 529 | 1 | 1.05791207306249 | -0.0579120730624921 | 530 | 1.114 | 1.12472741412572 | -0.0107274141257189 | 531 | 1.322 | 1.31591569699225 | 0.00608430300775449 | 532 | 1.176 | 1.1619534738938 | 0.0140465261061990 | 533 | 0.903 | 1.08045089912600 | -0.177450899125998 | 534 | 1.23 | 1.22039004558838 | 0.0096099544116249 | 535 | 1.279 | 1.2057028118838 | 0.0732971881162001 | 536 | 1.255 | 1.23747966285993 | 0.017520337140066 | 537 | 1.255 | 1.20624970430405 | 0.0487502956959528 | 538 | 1.204 | 1.20734348914454 | -0.00334348914454181 | 539 | 1.255 | 1.23857344770043 | 0.0164265522995714 | 540 | 1.041 | 1.04543212444943 | -0.00443212444943233 | 541 | 1.079 | 1.10615381506273 | -0.0271538150627296 | 542 | 1.079 | 1.10615381506273 | -0.0271538150627296 | 543 | 1.079 | 1.07601764134734 | 0.00298235865266223 | 544 | 1.114 | 1.15894607948989 | -0.0449460794898881 | 545 | 1.279 | 1.22749964705159 | 0.0515003529484087 | 546 | 1.279 | 1.21281241334702 | 0.0661875866529842 | 547 | 1.114 | 1.13283325119170 | -0.0188332511916957 | 548 | 1.146 | 1.11162273926520 | 0.0343772607347963 | 549 | 1 | 1.11162273926520 | -0.111622739265204 | 550 | 1.114 | 1.11271652410570 | 0.00128347589430187 | 551 | 1.23 | 1.24732372642439 | -0.0173237264243867 | 552 | 1.279 | 1.26408126516169 | 0.0149187348383081 | 553 | 1.23 | 1.18933649791233 | 0.0406635020876741 | 554 | 1.041 | 1.06441666368878 | -0.0234166636887788 | 555 | 1.176 | 1.15103636871428 | 0.0249636312857246 | 556 | 1.176 | 1.16377056203438 | 0.0122294379656189 | 557 | 0.954 | 1.03863591392484 | -0.08463591392484 | 558 | 1.176 | 1.16595813171537 | 0.0100418682846294 | 559 | 1.114 | 1.13070482774228 | -0.0167048277422840 | 560 | 1.114 | 1.11982612556891 | -0.00582612556891405 | 561 | 1.279 | 1.23843749545654 | 0.040562504543461 | 562 | 1.23 | 1.18054781618221 | 0.0494521838177879 | 563 | 1.322 | 1.22375026175196 | 0.0982497382480366 | 564 | 1.114 | 1.12256058767015 | -0.00856058767015116 | 565 | 1.114 | 1.12256058767015 | -0.00856058767015116 | 566 | 1.114 | 1.15107579953533 | -0.0370757995353269 | 567 | 1.146 | 1.19808677663628 | -0.0520867766362841 | 568 | 1.114 | 1.13726753678525 | -0.0232675367852526 | 569 | 1.176 | 1.15882984265652 | 0.0171701573434754 | 570 | 1.146 | 1.14795114048315 | -0.00195114048315471 | 571 | 1.079 | 1.14109578372698 | -0.0620957837269845 | 572 | 1.279 | 1.23304743289617 | 0.0459525671038310 | 573 | 1.146 | 1.13076397397386 | 0.0152360260261381 | 574 | 1.146 | 1.15416205558134 | -0.00816205558134396 | 575 | 1.114 | 1.14273646098773 | -0.0287364609877265 | 576 | 1.114 | 1.13185775881436 | -0.0178577588143566 | 577 | 1.146 | 1.17963044222156 | -0.0336304422215552 | 578 | 1.114 | 1.08137032871645 | 0.0326296712835524 | 579 | 1.114 | 1.12718997173918 | -0.0131899717391760 | 580 | 1.146 | 1.13404532849535 | 0.0119546715046536 | 581 | 1.146 | 1.14601781550921 | -1.78155092108994e-05 | 582 | 1.146 | 1.15744341010283 | -0.0114434101028281 | 583 | 1.146 | 1.12828375657967 | 0.0177162434203292 | 584 | 1.041 | 1.09510075763931 | -0.0541007576393143 | 585 | 1.114 | 1.13732668301683 | -0.0233266830168303 | 586 | 1.079 | 1.10719050930144 | -0.0281905093014386 | 587 | 1.114 | 1.16181854946481 | -0.047818549464807 | 588 | 1.114 | 1.13439712244013 | -0.0203971224401259 | 589 | 1.041 | 1.07879256208452 | -0.0377925620845227 | 590 | 1.176 | 1.14006114511807 | 0.0359388548819326 | 591 | 1.204 | 1.14115492995856 | 0.0628450700414377 | 592 | 1.079 | 1.11101875624317 | -0.0320187562431701 | 593 | 1 | 1.00057134183820 | -0.000571341838204408 | 594 | 1.204 | 1.16619368882679 | 0.0378063111732138 | 595 | 1.176 | 1.19056829062650 | -0.0145682906265028 | 596 | 0.954 | 1.02561010070643 | -0.0716101007064285 | 597 | 1.079 | 1.06652742735746 | 0.0124725726425435 | 598 | 1.176 | 1.14781518823926 | 0.0281848117607351 | 599 | 1 | 1.05391049868561 | -0.0539104986856104 | 600 | 0.954 | 1.02018060732501 | -0.0661806073250064 | 601 | 1.176 | 1.13595996587366 | 0.0400400341263399 | 602 | 1.114 | 1.12965150153774 | -0.0156515015377373 | 603 | 1.176 | 1.05250435072139 | 0.123495649278612 | 604 | 1.079 | 1.08754284080848 | -0.00854284080848082 | 605 | 1.146 | 1.03705541071057 | 0.108944589289428 | 606 | 1.079 | 1.09723020890362 | -0.0182302089036218 | 607 | 1.114 | 1.07199635155993 | 0.0420036484400699 | 608 | 1 | 1.01639179120433 | -0.0163917912043269 | 609 | 1.146 | 1.16242458811663 | -0.0164245881166323 | 610 | 1.146 | 1.13076500178876 | 0.0152349982112420 | 611 | 1.146 | 1.15209277836351 | -0.00609277836350998 | 612 | 1.079 | 1.1016053482656 | -0.0226053482656009 | 613 | 1.079 | 1.15263967078376 | -0.0736396707837573 | 614 | 1.176 | 1.1542803480445 | 0.0217196519555005 | 615 | 1.114 | 1.09410554985145 | 0.0198944501485507 | 616 | 1.146 | 1.14361645975712 | 0.00238354024287633 | 617 | 1.146 | 1.04146998089360 | 0.104530019106397 | 618 | 1.041 | 1.05322765402147 | -0.0122276540214733 | 619 | 1.204 | 1.18424113869495 | 0.0197588613050502 | 620 | 1.114 | 1.12135159381119 | -0.00735159381118859 | 621 | 1.146 | 1.16705397218566 | -0.0210539721856574 | 622 | 1.079 | 1.12189848623144 | -0.0428984862314361 | 623 | 1.176 | 1.1646713040292 | 0.0113286959708002 | 624 | 1.279 | 1.08252428760342 | 0.196475712396584 | 625 | 1.041 | 1.04748579751632 | -0.00648579751632387 | 626 | 1.079 | 1.12572673317317 | -0.0467267331731678 | 627 | 1.114 | 1.13926206362057 | -0.0252620636205663 | 628 | 1.041 | 1.04318951979645 | -0.0021895197964487 | 629 | 1.079 | 1.08508336663971 | -0.00608336663971127 | 630 | 1.079 | 1.11707503150184 | -0.0380750315018394 | 631 | 1.146 | 1.17943739937588 | -0.0334373993758791 | 632 | 1.079 | 1.13496578590069 | -0.0559657859006913 |
Goldfeld-Quandt test for Heteroskedasticity | p-values | Alternative Hypothesis | breakpoint index | greater | 2-sided | less | 6 | 0.585833575978333 | 0.828332848043334 | 0.414166424021667 | 7 | 0.445500840243022 | 0.891001680486045 | 0.554499159756977 | 8 | 0.90522807615196 | 0.189543847696079 | 0.0947719238480395 | 9 | 0.856011072251063 | 0.287977855497874 | 0.143988927748937 | 10 | 0.887814495828793 | 0.224371008342413 | 0.112185504171207 | 11 | 0.90380442064426 | 0.192391158711482 | 0.0961955793557409 | 12 | 0.858509137949672 | 0.282981724100656 | 0.141490862050328 | 13 | 0.907118891045597 | 0.185762217908806 | 0.092881108954403 | 14 | 0.925394000658932 | 0.149211998682136 | 0.0746059993410682 | 15 | 0.933527997522975 | 0.132944004954051 | 0.0664720024770254 | 16 | 0.999381078976093 | 0.00123784204781488 | 0.00061892102390744 | 17 | 0.999991350696341 | 1.72986073172606e-05 | 8.6493036586303e-06 | 18 | 0.99999999618885 | 7.62230013485678e-09 | 3.81115006742839e-09 | 19 | 0.99999999139996 | 1.72000807103461e-08 | 8.60004035517303e-09 | 20 | 0.999999981120424 | 3.7759151922144e-08 | 1.8879575961072e-08 | 21 | 0.999999964734844 | 7.05303117936036e-08 | 3.52651558968018e-08 | 22 | 0.999999931687582 | 1.36624836485134e-07 | 6.83124182425669e-08 | 23 | 0.99999988012281 | 2.39754380700089e-07 | 1.19877190350044e-07 | 24 | 0.999999769701899 | 4.60596201455684e-07 | 2.30298100727842e-07 | 25 | 0.999999660759666 | 6.78480667202566e-07 | 3.39240333601283e-07 | 26 | 0.999999515363928 | 9.6927214348706e-07 | 4.8463607174353e-07 | 27 | 0.99999932241733 | 1.35516533991073e-06 | 6.77582669955365e-07 | 28 | 0.999998886934706 | 2.22613058760501e-06 | 1.11306529380250e-06 | 29 | 0.999998291157607 | 3.41768478597552e-06 | 1.70884239298776e-06 | 30 | 0.999996998040188 | 6.00391962484923e-06 | 3.00195981242462e-06 | 31 | 0.9999957457602 | 8.50847960119895e-06 | 4.25423980059947e-06 | 32 | 0.999996579588104 | 6.84082379229183e-06 | 3.42041189614591e-06 | 33 | 0.999995037295655 | 9.9254086900788e-06 | 4.9627043450394e-06 | 34 | 0.999998228838084 | 3.54232383289917e-06 | 1.77116191644959e-06 | 35 | 0.999997498690467 | 5.00261906687763e-06 | 2.50130953343881e-06 | 36 | 0.999996477887359 | 7.04422528257126e-06 | 3.52211264128563e-06 | 37 | 0.999994490198525 | 1.10196029505264e-05 | 5.5098014752632e-06 | 38 | 0.999991230858313 | 1.75382833745422e-05 | 8.76914168727108e-06 | 39 | 0.999985925230128 | 2.81495397447574e-05 | 1.40747698723787e-05 | 40 | 0.999977700361832 | 4.45992763351482e-05 | 2.22996381675741e-05 | 41 | 0.999965659798907 | 6.86804021865483e-05 | 3.43402010932741e-05 | 42 | 0.999956649689631 | 8.67006207377255e-05 | 4.33503103688628e-05 | 43 | 0.999941275171382 | 0.000117449657235712 | 5.87248286178559e-05 | 44 | 0.999915178697991 | 0.000169642604017200 | 8.48213020086002e-05 | 45 | 0.999920621557497 | 0.000158756885005765 | 7.93784425028827e-05 | 46 | 0.99988260261336 | 0.000234794773278725 | 0.000117397386639363 | 47 | 0.999830200872378 | 0.000339598255243534 | 0.000169799127621767 | 48 | 0.999753895210388 | 0.000492209579224809 | 0.000246104789612404 | 49 | 0.999648972347142 | 0.000702055305715012 | 0.000351027652857506 | 50 | 0.999544380652379 | 0.000911238695242838 | 0.000455619347621419 | 51 | 0.999469350812105 | 0.00106129837579032 | 0.000530649187895162 | 52 | 0.99941894204426 | 0.00116211591147894 | 0.000581057955739472 | 53 | 0.999208372654681 | 0.00158325469063718 | 0.000791627345318591 | 54 | 0.998923187148889 | 0.00215362570222285 | 0.00107681285111143 | 55 | 0.999049882560532 | 0.00190023487893644 | 0.000950117439468222 | 56 | 0.99870410640817 | 0.00259178718366116 | 0.00129589359183058 | 57 | 0.998246467136315 | 0.00350706572736908 | 0.00175353286368454 | 58 | 0.997670152174528 | 0.0046596956509431 | 0.00232984782547155 | 59 | 0.997321092585175 | 0.00535781482965088 | 0.00267890741482544 | 60 | 0.997309491520689 | 0.00538101695862232 | 0.00269050847931116 | 61 | 0.996538207452642 | 0.00692358509471516 | 0.00346179254735758 | 62 | 0.995464540019111 | 0.00907091996177747 | 0.00453545998088873 | 63 | 0.994264179291151 | 0.0114716414176984 | 0.0057358207088492 | 64 | 0.992757165194787 | 0.0144856696104264 | 0.00724283480521321 | 65 | 0.99074269141704 | 0.0185146171659182 | 0.00925730858295909 | 66 | 0.98983104074768 | 0.0203379185046401 | 0.0101689592523201 | 67 | 0.989756199147635 | 0.0204876017047294 | 0.0102438008523647 | 68 | 0.992144437259671 | 0.0157111254806580 | 0.00785556274032902 | 69 | 0.990132090624155 | 0.0197358187516894 | 0.00986790937584469 | 70 | 0.988069064371308 | 0.0238618712573844 | 0.0119309356286922 | 71 | 0.98572612807855 | 0.0285477438429005 | 0.0142738719214502 | 72 | 0.984272735218101 | 0.0314545295637972 | 0.0157272647818986 | 73 | 0.984602588487633 | 0.0307948230247338 | 0.0153974115123669 | 74 | 0.984768904468963 | 0.0304621910620743 | 0.0152310955310371 | 75 | 0.981249013939522 | 0.0375019721209554 | 0.0187509860604777 | 76 | 0.977053656496958 | 0.0458926870060844 | 0.0229463435030422 | 77 | 0.972078287916196 | 0.055843424167607 | 0.0279217120838035 | 78 | 0.967101211954236 | 0.0657975760915282 | 0.0328987880457641 | 79 | 0.96071489900542 | 0.0785702019891595 | 0.0392851009945798 | 80 | 0.973861726139766 | 0.0522765477204691 | 0.0261382738602346 | 81 | 0.96859269345106 | 0.0628146130978775 | 0.0314073065489387 | 82 | 0.971326685777754 | 0.057346628444491 | 0.0286733142222455 | 83 | 0.965612022456045 | 0.0687759550879108 | 0.0343879775439554 | 84 | 0.9596784546936 | 0.0806430906127983 | 0.0403215453063992 | 85 | 0.956764784667974 | 0.0864704306640525 | 0.0432352153320262 | 86 | 0.96070847817526 | 0.0785830436494808 | 0.0392915218247404 | 87 | 0.96276915839422 | 0.0744616832115612 | 0.0372308416057806 | 88 | 0.967545445140346 | 0.0649091097193084 | 0.0324545548596542 | 89 | 0.96156205515484 | 0.0768758896903212 | 0.0384379448451606 | 90 | 0.96493394989488 | 0.0701321002102383 | 0.0350660501051192 | 91 | 0.975753884818041 | 0.0484922303639173 | 0.0242461151819586 | 92 | 0.97124258110571 | 0.0575148377885788 | 0.0287574188942894 | 93 | 0.969000349217818 | 0.0619993015643635 | 0.0309996507821818 | 94 | 0.964383558905336 | 0.0712328821893285 | 0.0356164410946643 | 95 | 0.958627411041418 | 0.0827451779171635 | 0.0413725889585818 | 96 | 0.960002398004796 | 0.0799952039904075 | 0.0399976019952037 | 97 | 0.953156303558434 | 0.093687392883133 | 0.0468436964415665 | 98 | 0.947555872641603 | 0.104888254716794 | 0.0524441273583968 | 99 | 0.975175646565279 | 0.0496487068694429 | 0.0248243534347214 | 100 | 0.98063329452269 | 0.0387334109546213 | 0.0193667054773106 | 101 | 0.97758366347359 | 0.0448326730528191 | 0.0224163365264095 | 102 | 0.97780937840731 | 0.0443812431853814 | 0.0221906215926907 | 103 | 0.977156255107182 | 0.0456874897856354 | 0.0228437448928177 | 104 | 0.97282313008566 | 0.0543537398286787 | 0.0271768699143394 | 105 | 0.968534005993542 | 0.0629319880129162 | 0.0314659940064581 | 106 | 0.970553142481849 | 0.0588937150363019 | 0.0294468575181509 | 107 | 0.966795306414987 | 0.066409387170025 | 0.0332046935850125 | 108 | 0.965417942370066 | 0.0691641152598674 | 0.0345820576299337 | 109 | 0.95968516136204 | 0.0806296772759192 | 0.0403148386379596 | 110 | 0.952900956917303 | 0.094198086165393 | 0.0470990430826965 | 111 | 0.945500048402983 | 0.108999903194033 | 0.0544999515970166 | 112 | 0.945681655898432 | 0.108636688203136 | 0.0543183441015679 | 113 | 0.941381117362162 | 0.117237765275676 | 0.0586188826378378 | 114 | 0.933160153638479 | 0.133679692723043 | 0.0668398463615214 | 115 | 0.923354010565428 | 0.153291978869144 | 0.076645989434572 | 116 | 0.921254962249046 | 0.157490075501907 | 0.0787450377509536 | 117 | 0.922272500141697 | 0.155454999716605 | 0.0777274998583026 | 118 | 0.913655565339408 | 0.172688869321183 | 0.0863444346605917 | 119 | 0.909755955288787 | 0.180488089422427 | 0.0902440447112134 | 120 | 0.898638480923269 | 0.202723038153462 | 0.101361519076731 | 121 | 0.889932193694809 | 0.220135612610382 | 0.110067806305191 | 122 | 0.896928900498861 | 0.206142199002278 | 0.103071099501139 | 123 | 0.885559214798244 | 0.228881570403511 | 0.114440785201756 | 124 | 0.87194424560064 | 0.256111508798718 | 0.128055754399359 | 125 | 0.863025205469018 | 0.273949589061964 | 0.136974794530982 | 126 | 0.847861981749103 | 0.304276036501794 | 0.152138018250897 | 127 | 0.830961027751808 | 0.338077944496385 | 0.169038972248192 | 128 | 0.812723621698456 | 0.374552756603088 | 0.187276378301544 | 129 | 0.793670267952938 | 0.412659464094124 | 0.206329732047062 | 130 | 0.789085943627126 | 0.421828112745747 | 0.210914056372874 | 131 | 0.768805845928216 | 0.462388308143568 | 0.231194154071784 | 132 | 0.749852988447371 | 0.500294023105258 | 0.250147011552629 | 133 | 0.74349116653235 | 0.513017666935301 | 0.256508833467651 | 134 | 0.727989242809587 | 0.544021514380825 | 0.272010757190413 | 135 | 0.705616422089298 | 0.588767155821405 | 0.294383577910702 | 136 | 0.682882314236016 | 0.634235371527968 | 0.317117685763984 | 137 | 0.669003767809209 | 0.661992464381582 | 0.330996232190791 | 138 | 0.644233484554432 | 0.711533030891136 | 0.355766515445568 | 139 | 0.62545356064819 | 0.749092878703622 | 0.374546439351811 | 140 | 0.602316526917445 | 0.79536694616511 | 0.397683473082555 | 141 | 0.586894967938108 | 0.826210064123784 | 0.413105032061892 | 142 | 0.574788703294491 | 0.850422593411019 | 0.425211296705509 | 143 | 0.554040115746545 | 0.89191976850691 | 0.445959884253455 | 144 | 0.532724854296308 | 0.934550291407384 | 0.467275145703692 | 145 | 0.521540208235555 | 0.95691958352889 | 0.478459791764445 | 146 | 0.4972191628049 | 0.9944383256098 | 0.5027808371951 | 147 | 0.480647814603488 | 0.961295629206977 | 0.519352185396512 | 148 | 0.460058253707376 | 0.920116507414751 | 0.539941746292624 | 149 | 0.44358855473087 | 0.88717710946174 | 0.55641144526913 | 150 | 0.424578562466915 | 0.84915712493383 | 0.575421437533085 | 151 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0.356136317959516 | 0.821931841020242 | 573 | 0.157852654178498 | 0.315705308356995 | 0.842147345821502 | 574 | 0.135609336274932 | 0.271218672549865 | 0.864390663725068 | 575 | 0.120473392813716 | 0.240946785627432 | 0.879526607186284 | 576 | 0.103718429355240 | 0.207436858710479 | 0.89628157064476 | 577 | 0.091966493080097 | 0.183932986160194 | 0.908033506919903 | 578 | 0.0819618733913956 | 0.163923746782791 | 0.918038126608604 | 579 | 0.0686205765331561 | 0.137241153066312 | 0.931379423466844 | 580 | 0.057292010883483 | 0.114584021766966 | 0.942707989116517 | 581 | 0.0466106018752729 | 0.0932212037505459 | 0.953389398124727 | 582 | 0.037605485648391 | 0.075210971296782 | 0.96239451435161 | 583 | 0.0311968702828435 | 0.0623937405656869 | 0.968803129717157 | 584 | 0.03400130730279 | 0.06800261460558 | 0.96599869269721 | 585 | 0.0282677321605988 | 0.0565354643211975 | 0.971732267839401 | 586 | 0.024683338291124 | 0.049366676582248 | 0.975316661708876 | 587 | 0.0246675917463308 | 0.0493351834926615 | 0.97533240825367 | 588 | 0.0206079751874129 | 0.0412159503748257 | 0.979392024812587 | 589 | 0.0211824474875658 | 0.0423648949751316 | 0.978817552512434 | 590 | 0.0177577328013094 | 0.0355154656026188 | 0.98224226719869 | 591 | 0.0201097862838877 | 0.0402195725677753 | 0.979890213716112 | 592 | 0.0180797422071455 | 0.0361594844142909 | 0.981920257792855 | 593 | 0.0145694758405111 | 0.0291389516810222 | 0.985430524159489 | 594 | 0.0131221700579064 | 0.0262443401158127 | 0.986877829942094 | 595 | 0.00975923971832448 | 0.0195184794366490 | 0.990240760281676 | 596 | 0.0225766482929071 | 0.0451532965858142 | 0.977423351707093 | 597 | 0.0171256940764619 | 0.0342513881529238 | 0.982874305923538 | 598 | 0.0139441309329329 | 0.0278882618658657 | 0.986055869067067 | 599 | 0.0230224812755281 | 0.0460449625510561 | 0.976977518724472 | 600 | 0.0812962458885694 | 0.162592491777139 | 0.91870375411143 | 601 | 0.0715607673360928 | 0.143121534672186 | 0.928439232663907 | 602 | 0.0593186402871387 | 0.118637280574277 | 0.940681359712861 | 603 | 0.101078510917681 | 0.202157021835362 | 0.898921489082319 | 604 | 0.088094477462979 | 0.176188954925958 | 0.911905522537021 | 605 | 0.119042158749129 | 0.238084317498258 | 0.880957841250871 | 606 | 0.104672336306604 | 0.209344672613209 | 0.895327663693396 | 607 | 0.0847576144356384 | 0.169515228871277 | 0.915242385564362 | 608 | 0.105506693622714 | 0.211013387245428 | 0.894493306377286 | 609 | 0.0814609881971132 | 0.162921976394226 | 0.918539011802887 | 610 | 0.061114353321222 | 0.122228706642444 | 0.938885646678778 | 611 | 0.0444171622697105 | 0.088834324539421 | 0.95558283773029 | 612 | 0.0421066783117244 | 0.0842133566234489 | 0.957893321688276 | 613 | 0.0778553192305515 | 0.155710638461103 | 0.922144680769449 | 614 | 0.0563285294969406 | 0.112657058993881 | 0.94367147050306 | 615 | 0.0418429861291614 | 0.0836859722583229 | 0.958157013870839 | 616 | 0.0304076994048198 | 0.0608153988096395 | 0.96959230059518 | 617 | 0.0350204358561957 | 0.0700408717123914 | 0.964979564143804 | 618 | 0.0346666399659142 | 0.0693332799318285 | 0.965333360034086 | 619 | 0.0255110550190675 | 0.051022110038135 | 0.974488944980932 | 620 | 0.0167674785051249 | 0.0335349570102497 | 0.983232521494875 | 621 | 0.0102398220303614 | 0.0204796440607227 | 0.989760177969639 | 622 | 0.015781926329111 | 0.031563852658222 | 0.98421807367089 | 623 | 0.00857015433941892 | 0.0171403086788378 | 0.99142984566058 | 624 | 0.985681456534604 | 0.0286370869307918 | 0.0143185434653959 | 625 | 0.957482293816601 | 0.0850354123667973 | 0.0425177061833986 | 626 | 0.972030810220475 | 0.0559383795590494 | 0.0279691897795247 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | Description | # significant tests | % significant tests | OK/NOK | 1% type I error level | 47 | 0.0756843800322061 | NOK | 5% type I error level | 86 | 0.138486312399356 | NOK | 10% type I error level | 130 | 0.209339774557166 | NOK |
| | Charts produced by software: | | http://www.freestatistics.org/blog/date/2010/Dec/22/t12930361269ceg8mjpnis8jqh/10dhqs1293034290.png (open in new window) | http://www.freestatistics.org/blog/date/2010/Dec/22/t12930361269ceg8mjpnis8jqh/10dhqs1293034290.ps (open in new window) |
| http://www.freestatistics.org/blog/date/2010/Dec/22/t12930361269ceg8mjpnis8jqh/1ogth1293034290.png (open in new window) | http://www.freestatistics.org/blog/date/2010/Dec/22/t12930361269ceg8mjpnis8jqh/1ogth1293034290.ps (open in new window) |
| http://www.freestatistics.org/blog/date/2010/Dec/22/t12930361269ceg8mjpnis8jqh/2ogth1293034290.png (open in new window) | http://www.freestatistics.org/blog/date/2010/Dec/22/t12930361269ceg8mjpnis8jqh/2ogth1293034290.ps (open in new window) |
| http://www.freestatistics.org/blog/date/2010/Dec/22/t12930361269ceg8mjpnis8jqh/3ogth1293034290.png (open in new window) | http://www.freestatistics.org/blog/date/2010/Dec/22/t12930361269ceg8mjpnis8jqh/3ogth1293034290.ps (open in new window) |
| http://www.freestatistics.org/blog/date/2010/Dec/22/t12930361269ceg8mjpnis8jqh/4h8a21293034290.png (open in new window) | http://www.freestatistics.org/blog/date/2010/Dec/22/t12930361269ceg8mjpnis8jqh/4h8a21293034290.ps (open in new window) |
| http://www.freestatistics.org/blog/date/2010/Dec/22/t12930361269ceg8mjpnis8jqh/5h8a21293034290.png (open in new window) | http://www.freestatistics.org/blog/date/2010/Dec/22/t12930361269ceg8mjpnis8jqh/5h8a21293034290.ps (open in new window) |
| http://www.freestatistics.org/blog/date/2010/Dec/22/t12930361269ceg8mjpnis8jqh/6h8a21293034290.png (open in new window) | http://www.freestatistics.org/blog/date/2010/Dec/22/t12930361269ceg8mjpnis8jqh/6h8a21293034290.ps (open in new window) |
| http://www.freestatistics.org/blog/date/2010/Dec/22/t12930361269ceg8mjpnis8jqh/7sh951293034290.png (open in new window) | http://www.freestatistics.org/blog/date/2010/Dec/22/t12930361269ceg8mjpnis8jqh/7sh951293034290.ps (open in new window) |
| http://www.freestatistics.org/blog/date/2010/Dec/22/t12930361269ceg8mjpnis8jqh/8l8981293034290.png (open in new window) | http://www.freestatistics.org/blog/date/2010/Dec/22/t12930361269ceg8mjpnis8jqh/8l8981293034290.ps (open in new window) |
| http://www.freestatistics.org/blog/date/2010/Dec/22/t12930361269ceg8mjpnis8jqh/9l8981293034290.png (open in new window) | http://www.freestatistics.org/blog/date/2010/Dec/22/t12930361269ceg8mjpnis8jqh/9l8981293034290.ps (open in new window) |
| | Parameters (Session): | par1 = 5 ; par2 = Do not include Seasonal Dummies ; par3 = No Linear Trend ; | | Parameters (R input): | par1 = 3 ; par2 = Do not include Seasonal Dummies ; par3 = No Linear Trend ; | | R code (references can be found in the software module): | library(lattice)
library(lmtest)
n25 <- 25 #minimum number of obs. for Goldfeld-Quandt test
par1 <- as.numeric(par1)
x <- t(y)
k <- length(x[1,])
n <- length(x[,1])
x1 <- cbind(x[,par1], x[,1:k!=par1])
mycolnames <- c(colnames(x)[par1], colnames(x)[1:k!=par1])
colnames(x1) <- mycolnames #colnames(x)[par1]
x <- x1
if (par3 == 'First Differences'){
x2 <- array(0, dim=c(n-1,k), dimnames=list(1:(n-1), paste('(1-B)',colnames(x),sep='')))
for (i in 1:n-1) {
for (j in 1:k) {
x2[i,j] <- x[i+1,j] - x[i,j]
}
}
x <- x2
}
if (par2 == 'Include Monthly Dummies'){
x2 <- array(0, dim=c(n,11), dimnames=list(1:n, paste('M', seq(1:11), sep ='')))
for (i in 1:11){
x2[seq(i,n,12),i] <- 1
}
x <- cbind(x, x2)
}
if (par2 == 'Include Quarterly Dummies'){
x2 <- array(0, dim=c(n,3), dimnames=list(1:n, paste('Q', seq(1:3), sep ='')))
for (i in 1:3){
x2[seq(i,n,4),i] <- 1
}
x <- cbind(x, x2)
}
k <- length(x[1,])
if (par3 == 'Linear Trend'){
x <- cbind(x, c(1:n))
colnames(x)[k+1] <- 't'
}
x
k <- length(x[1,])
df <- as.data.frame(x)
(mylm <- lm(df))
(mysum <- summary(mylm))
if (n > n25) {
kp3 <- k + 3
nmkm3 <- n - k - 3
gqarr <- array(NA, dim=c(nmkm3-kp3+1,3))
numgqtests <- 0
numsignificant1 <- 0
numsignificant5 <- 0
numsignificant10 <- 0
for (mypoint in kp3:nmkm3) {
j <- 0
numgqtests <- numgqtests + 1
for (myalt in c('greater', 'two.sided', 'less')) {
j <- j + 1
gqarr[mypoint-kp3+1,j] <- gqtest(mylm, point=mypoint, alternative=myalt)$p.value
}
if (gqarr[mypoint-kp3+1,2] < 0.01) numsignificant1 <- numsignificant1 + 1
if (gqarr[mypoint-kp3+1,2] < 0.05) numsignificant5 <- numsignificant5 + 1
if (gqarr[mypoint-kp3+1,2] < 0.10) numsignificant10 <- numsignificant10 + 1
}
gqarr
}
bitmap(file='test0.png')
plot(x[,1], type='l', main='Actuals and Interpolation', ylab='value of Actuals and Interpolation (dots)', xlab='time or index')
points(x[,1]-mysum$resid)
grid()
dev.off()
bitmap(file='test1.png')
plot(mysum$resid, type='b', pch=19, main='Residuals', ylab='value of Residuals', xlab='time or index')
grid()
dev.off()
bitmap(file='test2.png')
hist(mysum$resid, main='Residual Histogram', xlab='values of Residuals')
grid()
dev.off()
bitmap(file='test3.png')
densityplot(~mysum$resid,col='black',main='Residual Density Plot', xlab='values of Residuals')
dev.off()
bitmap(file='test4.png')
qqnorm(mysum$resid, main='Residual Normal Q-Q Plot')
qqline(mysum$resid)
grid()
dev.off()
(myerror <- as.ts(mysum$resid))
bitmap(file='test5.png')
dum <- cbind(lag(myerror,k=1),myerror)
dum
dum1 <- dum[2:length(myerror),]
dum1
z <- as.data.frame(dum1)
z
plot(z,main=paste('Residual Lag plot, lowess, and regression line'), ylab='values of Residuals', xlab='lagged values of Residuals')
lines(lowess(z))
abline(lm(z))
grid()
dev.off()
bitmap(file='test6.png')
acf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Autocorrelation Function')
grid()
dev.off()
bitmap(file='test7.png')
pacf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Partial Autocorrelation Function')
grid()
dev.off()
bitmap(file='test8.png')
opar <- par(mfrow = c(2,2), oma = c(0, 0, 1.1, 0))
plot(mylm, las = 1, sub='Residual Diagnostics')
par(opar)
dev.off()
if (n > n25) {
bitmap(file='test9.png')
plot(kp3:nmkm3,gqarr[,2], main='Goldfeld-Quandt test',ylab='2-sided p-value',xlab='breakpoint')
grid()
dev.off()
}
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a, 'Multiple Linear Regression - Estimated Regression Equation', 1, TRUE)
a<-table.row.end(a)
myeq <- colnames(x)[1]
myeq <- paste(myeq, '[t] = ', sep='')
for (i in 1:k){
if (mysum$coefficients[i,1] > 0) myeq <- paste(myeq, '+', '')
myeq <- paste(myeq, mysum$coefficients[i,1], sep=' ')
if (rownames(mysum$coefficients)[i] != '(Intercept)') {
myeq <- paste(myeq, rownames(mysum$coefficients)[i], sep='')
if (rownames(mysum$coefficients)[i] != 't') myeq <- paste(myeq, '[t]', sep='')
}
}
myeq <- paste(myeq, ' + e[t]')
a<-table.row.start(a)
a<-table.element(a, myeq)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable1.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,hyperlink('http://www.xycoon.com/ols1.htm','Multiple Linear Regression - Ordinary Least Squares',''), 6, TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Variable',header=TRUE)
a<-table.element(a,'Parameter',header=TRUE)
a<-table.element(a,'S.D.',header=TRUE)
a<-table.element(a,'T-STAT<br />H0: parameter = 0',header=TRUE)
a<-table.element(a,'2-tail p-value',header=TRUE)
a<-table.element(a,'1-tail p-value',header=TRUE)
a<-table.row.end(a)
for (i in 1:k){
a<-table.row.start(a)
a<-table.element(a,rownames(mysum$coefficients)[i],header=TRUE)
a<-table.element(a,mysum$coefficients[i,1])
a<-table.element(a, round(mysum$coefficients[i,2],6))
a<-table.element(a, round(mysum$coefficients[i,3],4))
a<-table.element(a, round(mysum$coefficients[i,4],6))
a<-table.element(a, round(mysum$coefficients[i,4]/2,6))
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable2.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a, 'Multiple Linear Regression - Regression Statistics', 2, TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Multiple R',1,TRUE)
a<-table.element(a, sqrt(mysum$r.squared))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'R-squared',1,TRUE)
a<-table.element(a, mysum$r.squared)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Adjusted R-squared',1,TRUE)
a<-table.element(a, mysum$adj.r.squared)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'F-TEST (value)',1,TRUE)
a<-table.element(a, mysum$fstatistic[1])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'F-TEST (DF numerator)',1,TRUE)
a<-table.element(a, mysum$fstatistic[2])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'F-TEST (DF denominator)',1,TRUE)
a<-table.element(a, mysum$fstatistic[3])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'p-value',1,TRUE)
a<-table.element(a, 1-pf(mysum$fstatistic[1],mysum$fstatistic[2],mysum$fstatistic[3]))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Multiple Linear Regression - Residual Statistics', 2, TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Residual Standard Deviation',1,TRUE)
a<-table.element(a, mysum$sigma)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Sum Squared Residuals',1,TRUE)
a<-table.element(a, sum(myerror*myerror))
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable3.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a, 'Multiple Linear Regression - Actuals, Interpolation, and Residuals', 4, TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Time or Index', 1, TRUE)
a<-table.element(a, 'Actuals', 1, TRUE)
a<-table.element(a, 'Interpolation<br />Forecast', 1, TRUE)
a<-table.element(a, 'Residuals<br />Prediction Error', 1, TRUE)
a<-table.row.end(a)
for (i in 1:n) {
a<-table.row.start(a)
a<-table.element(a,i, 1, TRUE)
a<-table.element(a,x[i])
a<-table.element(a,x[i]-mysum$resid[i])
a<-table.element(a,mysum$resid[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable4.tab')
if (n > n25) {
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Goldfeld-Quandt test for Heteroskedasticity',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'p-values',header=TRUE)
a<-table.element(a,'Alternative Hypothesis',3,header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'breakpoint index',header=TRUE)
a<-table.element(a,'greater',header=TRUE)
a<-table.element(a,'2-sided',header=TRUE)
a<-table.element(a,'less',header=TRUE)
a<-table.row.end(a)
for (mypoint in kp3:nmkm3) {
a<-table.row.start(a)
a<-table.element(a,mypoint,header=TRUE)
a<-table.element(a,gqarr[mypoint-kp3+1,1])
a<-table.element(a,gqarr[mypoint-kp3+1,2])
a<-table.element(a,gqarr[mypoint-kp3+1,3])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable5.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Description',header=TRUE)
a<-table.element(a,'# significant tests',header=TRUE)
a<-table.element(a,'% significant tests',header=TRUE)
a<-table.element(a,'OK/NOK',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'1% type I error level',header=TRUE)
a<-table.element(a,numsignificant1)
a<-table.element(a,numsignificant1/numgqtests)
if (numsignificant1/numgqtests < 0.01) dum <- 'OK' else dum <- 'NOK'
a<-table.element(a,dum)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'5% type I error level',header=TRUE)
a<-table.element(a,numsignificant5)
a<-table.element(a,numsignificant5/numgqtests)
if (numsignificant5/numgqtests < 0.05) dum <- 'OK' else dum <- 'NOK'
a<-table.element(a,dum)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'10% type I error level',header=TRUE)
a<-table.element(a,numsignificant10)
a<-table.element(a,numsignificant10/numgqtests)
if (numsignificant10/numgqtests < 0.1) dum <- 'OK' else dum <- 'NOK'
a<-table.element(a,dum)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable6.tab')
}
| |
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Software written by Ed van Stee & Patrick Wessa
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