| | *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 14:46:32 +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/t1293030622od7ug46us0jlazk.htm/, Retrieved Wed, 22 Dec 2010 17:03:55 +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/t1293030622od7ug46us0jlazk.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 « | 3693 165 11.5
3436 150 11
3449 140 10.5
4341 198 10
4312 215 8.5
4425 225 10
3563 170 10
3609 160 8
3086 225 10
2372 95 15
2774 97 15.5
1835 46 20.5
2672 87 17.5
2375 95 17.5
2234 113 12.5
4615 215 14
4376 200 15
4732 193 18.5
2130 88 14.5
2228 95 14
3329 100 15.5
3288 100 15.5
4209 165 12
4096 150 13
4746 170 12
5140 175 12
2408 72 19
3282 100 15
2220 86 14
2123 90 14
2065 76 14.5
1773 65 19
1834 60 19
1955 70 20.5
2126 80 17
2226 86 16.5
4274 165 12
4135 150 13.5
4129 153 13
4633 208 11
4502 155 13.5
4422 190 12.5
2330 97 13.5
4098 130 14
4294 140 16
2933 112 14.5
2511 76 18
2395 86 16
2506 97 14.5
2164 80 15
4100 175 13
3672 150 11.5
4042 137 14.5
3777 150 12.5
4464 150 12
4363 158 13
4735 215 11
4951 225 11
3121 105 16.5
3278 100 18
3021 88 16.5
2904 95 16
4997 150 14
4499 180 12.5
2789 100 15
2401 72 19.5
2379 94 16.5
2310 85 18.5
2472 107 14
4082 145 13
4278 230 9.5
2158 75 15.5
2582 91 14
3399 150 11
2660 110 14
3664 180 11
310 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] = + 18.4042054369189 + 0.00218916863715812weight[t] -0.0891828583404409horsepower[t] + e[t] |
Multiple Linear Regression - Regression Statistics | Multiple R | 0.764889185377629 | R-squared | 0.585055465907653 | Adjusted R-squared | 0.583736087420873 | F-TEST (value) | 443.432625110823 | F-TEST (DF numerator) | 2 | F-TEST (DF denominator) | 629 | p-value | 0 | Multiple Linear Regression - Residual Statistics | Residual Standard Deviation | 1.75526632074775 | Sum Squared Residuals | 1937.92374989659 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error | 1 | 11.5 | 11.7736335877707 | -0.273633587770679 | 2 | 11 | 12.548760123128 | -1.54876012312801 | 3 | 10.5 | 13.4690478988155 | -2.96904789881547 | 4 | 10 | 10.2491805394150 | -0.249180539414952 | 5 | 8.5 | 8.66958605714987 | -0.169586057149872 | 6 | 10 | 8.02513352974433 | 1.97486647025567 | 7 | 10 | 11.0431273732383 | -1.04312737323828 | 8 | 8 | 12.0356577139520 | -4.03565771395196 | 9 | 10 | 5.09383672458961 | 4.90616327541039 | 10 | 15 | 15.1245419019160 | -0.124541901916024 | 11 | 15.5 | 15.8262219773727 | -0.326221977372707 | 12 | 20.5 | 18.3189184024437 | 2.18108159755628 | 13 | 17.5 | 16.494755359787 | 1.00524464021301 | 14 | 17.5 | 15.1311094078275 | 2.3688905921725 | 15 | 12.5 | 13.2171451798603 | -0.717145179860267 | 16 | 14 | 9.33290415420878 | 4.66709584579122 | 17 | 15 | 10.1474357250346 | 4.8525642749654 | 18 | 18.5 | 11.5510597682460 | 6.94894023175402 | 19 | 14.5 | 15.2190431001068 | -0.719043100106845 | 20 | 14 | 14.8093016181653 | -0.809301618165255 | 21 | 15.5 | 16.7736619959741 | -1.27366199597414 | 22 | 15.5 | 16.6839060818507 | -1.18390608185066 | 23 | 12 | 12.9032446045446 | -0.903244604544629 | 24 | 13 | 13.9936114236524 | -0.993611423652375 | 25 | 12 | 13.6329138709963 | -1.63291387099633 | 26 | 12 | 14.0495320223344 | -2.04953202233443 | 27 | 19 | 17.2545577146839 | 1.74544228531614 | 28 | 15 | 16.6707710700277 | -1.67077107002771 | 29 | 14 | 15.5944339941320 | -1.59443399413196 | 30 | 14 | 15.0253532029659 | -1.02535320296586 | 31 | 14.5 | 16.1469414387769 | -1.64694143877686 | 32 | 19 | 16.4887156384715 | 2.51128436152846 | 33 | 19 | 17.0681692170404 | 1.93183078295961 | 34 | 20.5 | 16.4412300387321 | 4.05876996126789 | 35 | 17 | 15.9237492922817 | 1.07625070771826 | 36 | 16.5 | 15.6075690059549 | 0.892430994045093 | 37 | 12 | 13.0455405659599 | -1.04554056595991 | 38 | 13.5 | 14.0789890005015 | -0.578989000501541 | 39 | 13 | 13.7983054136573 | -0.79830541365727 | 40 | 11 | 9.99658919806071 | 1.00341080193929 | 41 | 13.5 | 14.4364995986364 | -0.936499598636367 | 42 | 12.5 | 11.1399660657483 | 1.36003393425171 | 43 | 13.5 | 14.8542311024745 | -1.35423110247450 | 44 | 14 | 15.7816469277355 | -1.78164692773551 | 45 | 16 | 15.3188953972141 | 0.681104602785909 | 46 | 14.5 | 14.8365569155742 | -0.336556915574235 | 47 | 18 | 17.1233106509494 | 0.87668934905062 | 48 | 16 | 15.9775385056346 | 0.0224614943653709 | 49 | 14.5 | 15.2395247826143 | -0.739524782614331 | 50 | 15 | 16.0069377004937 | -1.00693770049375 | 51 | 13 | 11.772796639690 | 1.22720336031001 | 52 | 11.5 | 13.0654039214973 | -1.56540392149733 | 53 | 14.5 | 15.0347734756716 | -0.534773475671568 | 54 | 12.5 | 13.2952666283989 | -0.795266628398935 | 55 | 12 | 14.7992254821266 | -2.79922548212656 | 56 | 13 | 13.8646565830501 | -0.864656583050066 | 57 | 11 | 9.59560439066776 | 1.40439560933224 | 58 | 11 | 9.1766362328895 | 1.82336376711050 | 59 | 16.5 | 15.8724006277430 | 0.627599372256953 | 60 | 18 | 16.6620143954791 | 1.33798560452092 | 61 | 16.5 | 17.1695923558147 | -0.66959235581473 | 62 | 16 | 16.2891796168841 | -0.289179616884144 | 63 | 14 | 15.9660523657318 | -1.96605236573184 | 64 | 12.5 | 12.2003606342139 | 0.299639365786130 | 65 | 15 | 15.5915109319088 | -0.591510931908756 | 66 | 19.5 | 17.2392335342238 | 2.26076646577625 | 67 | 16.5 | 15.2290489407166 | 1.27095105928343 | 68 | 18.5 | 15.8806420298166 | 2.61935797018337 | 69 | 14 | 14.2732644655465 | -0.273264465546546 | 70 | 13 | 14.4088773544344 | -1.40887735443437 | 71 | 9.5 | 7.25741144837988 | 2.24258855162012 | 72 | 15.5 | 16.439716980373 | -0.939716980373004 | 73 | 14 | 15.940998749081 | -1.94099874908099 | 74 | 11 | 12.4677608835532 | -1.46776088355316 | 75 | 14 | 14.4172795943109 | -0.41727959431095 | 76 | 11 | 10.3724048221868 | 0.627595177813159 | 77 | 16.5 | 16.7226350070415 | -0.222635007041452 | 78 | 16 | 15.8366978192705 | 0.163302180729535 | 79 | 16.5 | 16.6352290993581 | -0.135229099358129 | 80 | 21 | 16.6266332626125 | 4.3733667373875 | 81 | 17 | 17.7631662199696 | -0.763166219969612 | 82 | 18 | 16.5451515096286 | 1.45484849037136 | 83 | 14 | 14.9839525957289 | -0.983952595728899 | 84 | 14.5 | 15.3136801118587 | -0.813680111858721 | 85 | 16 | 16.0719694083965 | -0.0719694083964852 | 86 | 15.5 | 14.3460675742348 | 1.15393242576517 | 87 | 15.5 | 16.7262919628507 | -1.22629196285070 | 88 | 14.5 | 16.4830303518281 | -1.98303035182813 | 89 | 19 | 17.3489558583797 | 1.65104414162033 | 90 | 14.5 | 16.3674744153468 | -1.86747441534679 | 91 | 14 | 16.6323638204429 | -2.63236382044292 | 92 | 15 | 15.2023089157826 | -0.202308915782643 | 93 | 16 | 16.8072912024255 | -0.807291202425548 | 94 | 16 | 17.0772803262611 | -1.07728032626107 | 95 | 19.5 | 18.8964341925524 | 0.603565807447553 | 96 | 11.5 | 13.462158717298 | -1.96215871729800 | 97 | 14 | 15.1925997265370 | -1.19259972653697 | 98 | 13.5 | 15.4001007457790 | -1.90010074577896 | 99 | 21 | 17.1471728848471 | 3.85282711515287 | 100 | 19 | 16.7596900360701 | 2.24030996392986 | 101 | 19 | 18.2178371862204 | 0.782162813779552 | 102 | 13.5 | 15.6454031997567 | -2.14540319975665 | 103 | 12 | 13.8370921221561 | -1.83709212215606 | 104 | 17 | 16.7792442281225 | 0.220755771877467 | 105 | 16 | 15.8651570115535 | 0.134842988446479 | 106 | 13.5 | 15.7577846938378 | -2.25778469383776 | 107 | 16.5 | 16.9387443751500 | -0.438744375150046 | 108 | 14.5 | 16.2859473911759 | -1.78594739117591 | 109 | 15 | 15.8294542030809 | -0.829454203080939 | 110 | 17 | 17.0294855630366 | -0.0294855630366109 | 111 | 13.5 | 13.9954461576175 | -0.495446157617485 | 112 | 17.5 | 17.6070716485743 | -0.107071648574306 | 113 | 16.9 | 16.0403482858342 | 0.859651714165836 | 114 | 14.9 | 15.8299242043690 | -0.92992420436897 | 115 | 15.3 | 15.8225775336844 | -0.522577533684434 | 116 | 13 | 15.1459510748786 | -2.1459510748786 | 117 | 13.9 | 16.3757485764864 | -2.47574857648641 | 118 | 12.8 | 14.0757567747933 | -1.27575677479331 | 119 | 14.5 | 16.3802877515637 | -1.88028775156373 | 120 | 17.6 | 17.7741698464634 | -0.174169846463392 | 121 | 22.2 | 18.2216549798327 | 3.9783450201673 | 122 | 22.1 | 17.7905948673026 | 4.30940513269743 | 123 | 17.7 | 17.4785742971391 | 0.221425702860943 | 124 | 16.2 | 16.5736107019117 | -0.373610701911699 | 125 | 17.8 | 16.9218493530228 | 0.87815064697716 | 126 | 17 | 16.5178509410326 | 0.482149058967356 | 127 | 16.4 | 16.4331494744615 | -0.0331494744615312 | 128 | 15.7 | 16.2034350932420 | -0.503435093241956 | 129 | 13.2 | 13.6521011162557 | -0.452101116255709 | 130 | 16.7 | 16.0648866300100 | 0.635113369990039 | 131 | 12.1 | 11.9398495663921 | 0.160150433607945 | 132 | 15 | 15.2825164784635 | -0.282516478463457 | 133 | 14 | 13.2471049183815 | 0.752895081618544 | 134 | 14.8 | 15.9872351827593 | -1.18723518275932 | 135 | 18.6 | 17.2268324159868 | 1.37316758401316 | 136 | 16.8 | 16.4193383523605 | 0.380661647639471 | 137 | 12.5 | 13.9666652897284 | -1.46666528972843 | 138 | 13.7 | 14.5358491353895 | -0.835849135389537 | 139 | 16.9 | 16.5379078934391 | 0.362092106560883 | 140 | 17.7 | 17.4326017557587 | 0.267398244241264 | 141 | 11.1 | 11.5895825844468 | -0.489582584446756 | 142 | 11.4 | 12.3610068928075 | -0.961006892807467 | 143 | 14.5 | 14.6060055862736 | -0.106005586273606 | 144 | 14.5 | 15.6949296424512 | -1.19492964245121 | 145 | 18.2 | 16.6739580245489 | 1.52604197545108 | 146 | 15.8 | 16.4980906399902 | -0.698090639990229 | 147 | 15.9 | 15.5445531167654 | 0.355446883234647 | 148 | 16.4 | 16.7744536728682 | -0.374453672868178 | 149 | 14.5 | 15.9159778914962 | -1.41597789149619 | 150 | 12.8 | 14.2859294760815 | -1.48592947608146 | 151 | 21.5 | 18.4689279813366 | 3.03107201866345 | 152 | 14.4 | 16.4586403333344 | -2.05864033333437 | 153 | 18.6 | 16.6929844320053 | 1.90701556799471 | 154 | 13.2 | 14.0951501290427 | -0.895150129042703 | 155 | 12.8 | 13.8231201622521 | -1.02312016225205 | 156 | 18.2 | 16.8386609448108 | 1.36133905518917 | 157 | 15.8 | 17.3145474871552 | -1.51454748715520 | 158 | 17.2 | 16.9947680283271 | 0.205231971672888 | 159 | 17.2 | 17.4049795115567 | -0.204979511556734 | 160 | 16.7 | 17.5444101940568 | -0.844410194056802 | 161 | 18.7 | 16.5188814859827 | 2.18111851401725 | 162 | 13.2 | 12.9705935598215 | 0.229406440178519 | 163 | 13.4 | 11.2307197657558 | 2.16928023424418 | 164 | 13.7 | 14.8504133088623 | -1.15041330886225 | 165 | 16.5 | 17.0574294828446 | -0.557429482844616 | 166 | 14.7 | 14.7885560433598 | -0.0885560433597586 | 167 | 14.5 | 16.5973371222484 | -2.09733712224839 | 168 | 17.6 | 17.0737389370678 | 0.526261062932197 | 169 | 15.9 | 15.4137182710109 | 0.486281728989084 | 170 | 13.6 | 14.1303376650402 | -0.530337665040234 | 171 | 15.8 | 14.0079503303494 | 1.7920496696506 | 172 | 14.9 | 16.4286680826922 | -1.52866808269220 | 173 | 16.6 | 17.0136461101015 | -0.413646110101452 | 174 | 18.2 | 17.3692767030842 | 0.830723296915848 | 175 | 17.3 | 16.8828112643470 | 0.417188735652984 | 176 | 16.6 | 15.9496976403216 | 0.650302359678368 | 177 | 15.4 | 15.2168414193487 | 0.183158580651286 | 178 | 13.2 | 14.7551329458984 | -1.55513294589837 | 179 | 15.2 | 14.7490354412749 | 0.450964558725071 | 180 | 14.3 | 14.6151292076153 | -0.31512920761526 | 181 | 15 | 15.1483010813188 | -0.14830108131876 | 182 | 14 | 16.2863721212769 | -2.28637212127693 | 183 | 15.2 | 16.9309277031775 | -1.73092770317748 | 184 | 15 | 17.1146570308958 | -2.11465703089576 | 185 | 24.8 | 19.0556704472819 | 5.74432955271805 | 186 | 22.2 | 17.8647049253599 | 4.33529507464006 | 187 | 14.9 | 16.8681179229779 | -1.96811792297794 | 188 | 19.2 | 17.0294402918496 | 2.17055970815041 | 189 | 16 | 16.2228284474913 | -0.222828447491348 | 190 | 11.3 | 13.8290693411935 | -2.52906934119347 | 191 | 13.2 | 15.9732632228553 | -2.77326322285532 | 192 | 14.7 | 16.3198857611123 | -1.61988576111235 | 193 | 15.5 | 16.8024428638632 | -1.3024428638632 | 194 | 16.4 | 17.0272511232124 | -0.627251123212436 | 195 | 18.1 | 16.8390278916039 | 1.26097210839615 | 196 | 20.1 | 16.951821603665 | 3.148178396335 | 197 | 15.8 | 16.2378434644664 | -0.437843464466425 | 198 | 15.5 | 16.3125843616148 | -0.812584361614831 | 199 | 15 | 15.5278189324411 | -0.52781893244115 | 200 | 15.2 | 16.6739580245489 | -1.47395802454892 | 201 | 14.4 | 15.1696774952153 | -0.76967749521529 | 202 | 19.2 | 17.2264654691938 | 1.97353453080618 | 203 | 19.9 | 18.8870014077258 | 1.01299859227424 | 204 | 13.8 | 16.4789159068518 | -2.67891590685183 | 205 | 15.3 | 16.9138843553682 | -1.61388435536824 | 206 | 15.1 | 16.0290354958554 | -0.92903549585535 | 207 | 15.7 | 16.3638752428455 | -0.663875242845533 | 208 | 16.4 | 16.6813046952335 | -0.281304695233461 | 209 | 12.6 | 14.5595755557262 | -1.95957555572623 | 210 | 12.9 | 16.1340125359439 | -3.23401253594393 | 211 | 16.4 | 16.8011936978021 | -0.401193697802108 | 212 | 16.1 | 16.9061707378907 | -0.806170737890684 | 213 | 19.4 | 16.9309277031775 | 2.46907229682252 | 214 | 17.3 | 17.3626639259857 | -0.0626639259856584 | 215 | 14.9 | 17.6346938927763 | -2.73469389277631 | 216 | 16.2 | 17.0841695077785 | -0.884169507778546 | 217 | 14.2 | 16.5989532351025 | -2.39895323510251 | 218 | 14.8 | 15.2105955890432 | -0.410595589043243 | 219 | 20.4 | 18.3405914677043 | 2.05940853229569 | 220 | 13.8 | 14.1165265429392 | -0.316526542939232 | 221 | 15.8 | 16.0701019153653 | -0.270101915365330 | 222 | 17.1 | 17.2549699326639 | -0.154969932663895 | 223 | 16.6 | 18.4091318057343 | -1.80913180573426 | 224 | 18.6 | 16.3355191050575 | 2.26448089494252 | 225 | 18 | 15.7991727889537 | 2.20082721104625 | 226 | 16 | 16.4404961451461 | -0.440496145146066 | 227 | 18 | 16.3651244089066 | 1.63487559109337 | 228 | 15.3 | 16.1392278212993 | -0.8392278212993 | 229 | 17.6 | 16.6524332849704 | 0.947566715029637 | 230 | 14.7 | 17.4376687154321 | -2.73766871543208 | 231 | 14.5 | 15.2847181592216 | -0.78471815922159 | 232 | 14.5 | 16.5426079063194 | -2.04260790631944 | 233 | 15.7 | 16.730670300125 | -1.03067030012501 | 234 | 16.4 | 15.041192655901 | 1.35880734409898 | 235 | 17 | 17.4240059190131 | -0.424005919013104 | 236 | 13.9 | 15.6767854542629 | -1.77678545426291 | 237 | 17.3 | 16.8357956658956 | 0.464204334104379 | 238 | 15.6 | 16.8422601173121 | -1.24226011731209 | 239 | 11.6 | 15.9369873585997 | -4.3369873585997 | 240 | 18.6 | 17.1053273005641 | 1.49467269943592 | 241 | 18 | 15.7817172231645 | 2.21828277683553 | 242 | 17 | 17.3766358858897 | -0.376635885889661 | 243 | 17 | 17.0735906113858 | -0.0735906113857769 | 244 | 16 | 16.9061707378907 | -0.906170737890685 | 245 | 19 | 16.4887156384715 | 2.51128436152846 | 246 | 18 | 17.6070716485743 | 0.392928351425694 | 247 | 17 | 17.6070716485743 | -0.607071648574306 | 248 | 14 | 16.4586403333344 | -2.45864033333437 | 249 | 16 | 16.993737483377 | -0.99373748337701 | 250 | 12 | 16.0674552575611 | -4.06745525756111 | 251 | 19 | 17.2268324159868 | 1.77316758401315 | 252 | 19 | 17.0681692170404 | 1.93183078295961 | 253 | 21 | 18.3189184024437 | 2.68108159755628 | 254 | 21 | 16.6266332626125 | 4.3733667373875 | 255 | 15 | 16.9138843553682 | -1.91388435536824 | 256 | 14 | 16.4789159068518 | -2.47891590685183 | 257 | 20 | 18.1214232238115 | 1.87857677618855 | 258 | 16 | 16.8011936978021 | -0.801193697802106 | 259 | 14 | 15.4618347098414 | -1.46183470984138 | 260 | 14 | 16.2863721212769 | -2.28637212127693 | 261 | 14 | 16.4018250032633 | -2.40182500326326 | 262 | 14 | 16.4018250032633 | -2.40182500326326 | 263 | 15 | 15.6949296424512 | -0.694929642451212 | 264 | 17 | 16.4193383523605 | 0.580661647639470 | 265 | 21 | 18.5706727957169 | 2.4293272042831 | 266 | 19 | 16.6978327705676 | 2.30216722943236 | 267 | 21 | 16.4412300387321 | 4.55876996126789 | 268 | 16 | 16.7262919628507 | -0.726291962850698 | 269 | 15 | 16.730670300125 | -1.73067030012501 | 270 | 16 | 16.730670300125 | -0.730670300125014 | 271 | 19 | 17.3615178144196 | 1.63848218558043 | 272 | 18 | 16.6524332849704 | 1.34756671502964 | 273 | 15 | 16.9309277031775 | -1.93092770317748 | 274 | 19 | 16.9309277031775 | 2.06907229682252 | 275 | 15 | 16.1392278212993 | -1.1392278212993 | 276 | 22 | 18.4689279813366 | 3.53107201866345 | 277 | 16 | 16.7744536728682 | -0.774453672868176 | 278 | 19 | 18.1121965479748 | 0.88780345202521 | 279 | 16 | 16.6852708145277 | -0.685270814527736 | 280 | 15 | 16.4286680826922 | -1.42866808269220 | 281 | 17 | 16.5178509410326 | 0.482149058967356 | 282 | 16 | 16.7963453592398 | -0.796345359239758 | 283 | 16 | 16.8072912024255 | -0.807291202425548 | 284 | 19 | 17.3489558583797 | 1.65104414162033 | 285 | 16 | 17.0272511232124 | -1.02725112321243 | 286 | 19 | 17.0294402918496 | 1.97055970815041 | 287 | 18 | 16.7728375600141 | 1.22716243998594 | 288 | 22 | 18.2216549798327 | 3.77834502016730 | 289 | 16 | 17.0841695077785 | -1.08416950777855 | 290 | 19 | 16.8166209327572 | 2.18337906724278 | 291 | 17 | 17.3626639259857 | -0.362663925985659 | 292 | 17 | 17.2756702362824 | -0.275670236282376 | 293 | 15 | 16.1469414387769 | -1.14694143877686 | 294 | 18 | 16.9495871638408 | 1.05041283615917 | 295 | 19 | 16.6929844320053 | 2.30701556799471 | 296 | 20 | 16.7017411065539 | 3.29825889344607 | 297 | 16 | 15.5445531167654 | 0.455446883234646 | 298 | 22 | 18.6878448450524 | 3.31215515494763 | 299 | 17 | 15.1533680409921 | 1.84663195900790 | 300 | 16 | 16.3302585485151 | -0.330258548515098 | 301 | 18 | 17.2264654691938 | 0.773534530806177 | 302 | 19 | 17.2264654691938 | 1.77353453080618 | 303 | 16 | 16.8024428638632 | -0.8024428638632 | 304 | 14 | 15.0253532029659 | -1.02535320296586 | 305 | 14 | 15.027542371603 | -1.02754237160301 | 306 | 15 | 16.3674744153468 | -1.36747441534679 | 307 | 15 | 17.4376687154321 | -2.43766871543208 | 308 | 17 | 16.813388707049 | 0.186611292951009 | 309 | 17 | 15.9237492922817 | 1.07625070771826 | 310 | 15 | 16.9135174085752 | -1.91351740857522 | 311 | 25 | 18.4296260003627 | 6.57037399963728 | 312 | 15 | 15.2190431001068 | -0.219043100106846 | 313 | 15 | 15.2190431001068 | -0.219043100106846 | 314 | 17 | 17.0136461101015 | -0.0136461101014536 | 315 | 15 | 16.3198857611123 | -1.31988576111235 | 316 | 18 | 17.1247206548135 | 0.875279345186524 | 317 | 15 | 16.8681179229779 | -1.86811792297794 | 318 | 15 | 15.9872351827593 | -0.987235182759325 | 319 | 17 | 17.0574294828446 | -0.057429482844616 | 320 | 16 | 16.4331494744615 | -0.43314947446153 | 321 | 16 | 16.439716980373 | -0.439716980373004 | 322 | 15 | 15.2847181592216 | -0.284718159221589 | 323 | 15 | 16.0069377004937 | -1.00693770049375 | 324 | 22 | 17.7905948673026 | 4.20940513269743 | 325 | 16 | 16.4681761726561 | -0.46817617265606 | 326 | 16 | 16.2378434644664 | -0.237843464466426 | 327 | 18 | 17.0426783581676 | 0.957321641832449 | 328 | 14 | 16.2422218017407 | -2.24222180174074 | 329 | 14 | 16.5989532351025 | -2.59895323510250 | 330 | 13 | 16.9775763548359 | -3.97757635483585 | 331 | 15 | 15.8225775336844 | -0.822577533684434 | 332 | 15 | 16.5426079063194 | -1.54260790631944 | 333 | 14 | 16.5535537495052 | -2.55355374950523 | 334 | 15 | 17.6346938927763 | -2.63469389277631 | 335 | 17 | 15.8597934005161 | 1.14020659948388 | 336 | 14 | 15.5944339941320 | -1.59443399413196 | 337 | 17 | 16.0403482858342 | 0.959651714165838 | 338 | 17 | 16.9387443751500 | 0.061255624849954 | 339 | 17 | 15.6075690059549 | 1.39243099404509 | 340 | 14 | 14.8093016181653 | -0.809301618165255 | 341 | 15 | 16.5973371222484 | -1.59733712224839 | 342 | 13 | 13.2171451798603 | -0.217145179860268 | 343 | 17 | 17.0760889435080 | -0.0760889435079652 | 344 | 14 | 16.6323638204429 | -2.63236382044292 | 345 | 24 | 18.5227171946894 | 5.47728280531056 | 346 | 18 | 16.2953349048156 | 1.70466509518442 | 347 | 16 | 15.3340259808052 | 0.665974019194848 | 348 | 16 | 15.3362151494423 | 0.66378485055769 | 349 | 18 | 16.6739580245489 | 1.32604197545108 | 350 | 15 | 16.6739580245489 | -1.67395802454892 | 351 | 16 | 14.9187600500232 | 1.08123994997684 | 352 | 19 | 15.5452292270434 | 3.45477077295659 | 353 | 17 | 15.2082003114161 | 1.79179968858394 | 354 | 17 | 16.9962358154992 | 0.00376418450080103 | 355 | 12 | 15.9369873585997 | -3.9369873585997 | 356 | 16 | 14.8777389017002 | 1.12226109829980 | 357 | 15 | 16.4830303518281 | -1.48303035182813 | 358 | 15 | 14.7885560433598 | 0.211443956640242 | 359 | 19 | 15.8806420298166 | 3.11935797018337 | 360 | 14 | 14.8542311024745 | -0.854231102474502 | 361 | 24 | 19.2351370043419 | 4.76486299565810 | 362 | 17 | 16.8600373587074 | 0.139962641292637 | 363 | 13 | 16.1011750063866 | -3.10117500638656 | 364 | 15 | 15.1245419019160 | -0.124541901916024 | 365 | 18 | 15.1311094078275 | 2.8688905921725 | 366 | 17 | 15.2290489407166 | 1.77095105928343 | 367 | 21 | 17.8175410012265 | 3.18245899877348 | 368 | 13 | 16.1340125359439 | -3.13401253594393 | 369 | 16 | 15.3445018227029 | 0.65549817729709 | 370 | 16 | 15.9775385056346 | 0.0224614943653709 | 371 | 18 | 15.7991727889537 | 2.20082721104625 | 372 | 20 | 17.2392335342238 | 2.76076646577625 | 373 | 15 | 15.0184187502614 | -0.0184187502613608 | 374 | 19 | 17.2545577146839 | 1.74544228531614 | 375 | 20 | 15.6492662645559 | 4.35073373544408 | 376 | 13 | 14.7837077047974 | -1.78370770479741 | 377 | 15 | 15.6974279745734 | -0.6974279745734 | 378 | 15 | 15.5278189324411 | -0.52781893244115 | 379 | 17 | 16.6352290993581 | 0.364770900641871 | 380 | 16 | 16.1285911415985 | -0.128591141598539 | 381 | 14 | 14.2732644655465 | -0.273264465546546 | 382 | 15 | 15.2023089157826 | -0.202308915782643 | 383 | 16 | 16.3638752428455 | -0.363875242845532 | 384 | 15 | 16.0290354958554 | -1.02903549585535 | 385 | 15 | 15.2395247826143 | -0.239524782614331 | 386 | 18 | 17.1233106509494 | 0.87668934905062 | 387 | 15 | 15.4375930170296 | -0.437593017029636 | 388 | 16 | 16.4404961451461 | -0.440496145146066 | 389 | 17 | 17.2803577370417 | -0.280357737041723 | 390 | 18 | 17.2803577370417 | 0.719642262958277 | 391 | 17 | 15.3249023594635 | 1.67509764053650 | 392 | 13 | 15.9732632228553 | -2.97326322285532 | 393 | 14 | 15.5361056057018 | -1.53610560570175 | 394 | 14 | 17.5982571907177 | -3.59825719071768 | 395 | 15 | 15.8299242043690 | -0.829924204368971 | 396 | 16 | 16.4607717186635 | -0.460771718663532 | 397 | 14 | 15.940998749081 | -1.94099874908099 | 398 | 15 | 15.8583833966520 | -0.858383396652027 | 399 | 16 | 16.4870417423094 | -0.487041742309429 | 400 | 19 | 17.1222675938783 | 1.87773240612169 | 401 | 11 | 13.8290693411935 | -2.82906934119347 | 402 | 13 | 14.2859294760815 | -1.28592947608146 | 403 | 20 | 16.2588982027570 | 3.74110179724305 | 404 | 15 | 15.2105955890432 | -0.210595589043243 | 405 | 14 | 15.9350042989526 | -1.93500429895256 | 406 | 19 | 17.1053273005641 | 1.89467269943592 | 407 | 13 | 15.2521897931492 | -2.25218979314925 | 408 | 16 | 16.6813046952335 | -0.68130469523346 | 409 | 18 | 17.5731332786379 | 0.426866721362131 | 410 | 17 | 16.7792442281225 | 0.220755771877467 | 411 | 19 | 16.3355191050575 | 2.66448089494251 | 412 | 15 | 16.1746667374739 | -1.17466673747387 | 413 | 14 | 14.4172795943109 | -0.41727959431095 | 414 | 14 | 15.6767854542629 | -1.67678545426291 | 415 | 15 | 17.1146570308958 | -2.11465703089576 | 416 | 16 | 16.2228284474913 | -0.222828447491348 | 417 | 14 | 13.9954461576175 | 0.00455384238251536 | 418 | 18 | 16.494755359787 | 1.50524464021301 | 419 | 17 | 16.2403417965886 | 0.759658203411386 | 420 | 15 | 15.8294542030809 | -0.829454203080939 | 421 | 13 | 14.0589320480951 | -1.05893204809507 | 422 | 14 | 15.7577846938378 | -1.75778469383776 | 423 | 16 | 16.3125843616148 | -0.312584361614832 | 424 | 15 | 16.5106525960301 | -1.51065259603014 | 425 | 19 | 17.0457497460728 | 1.95425025392722 | 426 | 14 | 14.5486297125404 | -0.548629712540437 | 427 | 13 | 14.5595755557262 | -1.55957555572623 | 428 | 18 | 16.3651244089066 | 1.63487559109337 | 429 | 16 | 16.5544359687733 | -0.554435968773299 | 430 | 17 | 15.0492732201716 | 1.95072677982841 | 431 | 16 | 16.4980906399902 | -0.49809063999023 | 432 | 16 | 15.8262219773727 | 0.173778022627293 | 433 | 15 | 15.5915109319088 | -0.591510931908756 | 434 | 16 | 16.8422601173121 | -0.842260117312086 | 435 | 16 | 14.2669030686251 | 1.73309693137491 | 436 | 14 | 15.1696774952153 | -1.16967749521529 | 437 | 14 | 13.6688930838879 | 0.331106916112097 | 438 | 15 | 15.9159778914962 | -0.91597789149619 | 439 | 16 | 15.4137182710109 | 0.586281728989084 | 440 | 16 | 16.1337486436459 | -0.133748643645918 | 441 | 15 | 14.6220183891327 | 0.377981610867261 | 442 | 18 | 17.0737389370678 | 0.926261062932195 | 443 | 16 | 16.4713506150563 | -0.4713506150563 | 444 | 16 | 14.6942609541590 | 1.30573904584104 | 445 | 18 | 16.8390278916039 | 1.16097210839615 | 446 | 17 | 16.8828112643470 | 0.117188735652983 | 447 | 13 | 14.4075829171863 | -1.40758291718625 | 448 | 16 | 15.8366978192705 | 0.163302180729535 | 449 | 16 | 16.2891796168841 | -0.289179616884144 | 450 | 11 | 13.0025488701108 | -2.00254887011078 | 451 | 16 | 15.8651570115535 | 0.134842988446479 | 452 | 16 | 15.1867208430245 | 0.813279156975476 | 453 | 14 | 14.1165265429392 | -0.116526542939233 | 454 | 15 | 14.8365569155742 | 0.163443084425765 | 455 | 16 | 15.9330212393054 | 0.0669787606945772 | 456 | 16 | 15.041192655901 | 0.958807344098986 | 457 | 15 | 16.1113869559863 | -1.11138695598630 | 458 | 17 | 16.8357956658956 | 0.164204334104378 | 459 | 20 | 18.8870014077258 | 1.11299859227424 | 460 | 17 | 17.0294855630366 | -0.0294855630366109 | 461 | 14 | 15.0784085227327 | -1.07840852273270 | 462 | 16 | 17.3145474871552 | -1.3145474871552 | 463 | 20 | 17.1668301313945 | 2.83316986860547 | 464 | 15 | 16.2859473911759 | -1.28594739117591 | 465 | 18 | 17.3692767030842 | 0.630723296915849 | 466 | 20 | 16.951821603665 | 3.048178396335 | 467 | 18 | 17.7741698464634 | 0.225830153536606 | 468 | 17 | 17.4240059190131 | -0.424005919013104 | 469 | 17 | 17.1695923558147 | -0.169592355814731 | 470 | 15 | 15.2469745077939 | -0.246974507793877 | 471 | 17 | 17.2549699326639 | -0.254969932663897 | 472 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15.2520289553462 | -0.252028955346246 | 493 | 22 | 19.5437519988732 | 2.4562480011268 | 494 | 16 | 17.0772803262611 | -1.07728032626107 | 495 | 18 | 17.5253837866004 | 0.47461621339957 | 496 | 22 | 17.7146953464671 | 4.2853046535329 | 497 | 18 | 16.6620143954791 | 1.33798560452092 | 498 | 15 | 16.6707710700277 | -1.67077107002771 | 499 | 16 | 16.6839060818507 | -0.683906081850658 | 500 | 16 | 17.7847487428562 | -1.78474874285616 | 501 | 16 | 16.7736619959741 | -0.773661995974141 | 502 | 17 | 16.7889861764342 | 0.211013823565752 | 503 | 15 | 16.3802877515637 | -1.38028775156373 | 504 | 17 | 15.9496976403216 | 1.05030235967837 | 505 | 16 | 15.9606434835074 | 0.0393565164925756 | 506 | 16 | 16.439395304767 | -0.439395304767001 | 507 | 19 | 17.7793273485108 | 1.22067265148923 | 508 | 11 | 12.4677608835532 | -1.46776088355316 | 509 | 15 | 15.1673274887751 | -0.167327488775131 | 510 | 16 | 14.0079503303494 | 1.9920496696506 | 511 | 16 | 16.0701019153653 | -0.0701019153653304 | 512 | 22 | 17.8647049253599 | 4.13529507464006 | 513 | 17 | 16.5379078934391 | 0.462092106560884 | 514 | 13 | 12.9705935598215 | 0.0294064401785196 | 515 | 17 | 16.9947680283271 | 0.00523197167288857 | 516 | 21 | 19.4962663991338 | 1.50373360086623 | 517 | 12 | 12.5421926172165 | -0.542192617216541 | 518 | 11 | 12.548760123128 | -1.54876012312802 | 519 | 16 | 16.5685562543593 | -0.56855625435933 | 520 | 13 | 11.2307197657558 | 1.76928023424417 | 521 | 11 | 13.4690478988155 | -2.46904789881548 | 522 | 16 | 16.6123396271025 | -0.612339627102492 | 523 | 17 | 18.4091318057343 | -1.40913180573426 | 524 | 12 | 14.4812807572636 | -2.48128075726359 | 525 | 16 | 16.2999646222669 | -0.299964622266933 | 526 | 19 | 17.381104765538 | 1.61889523446199 | 527 | 20 | 19.2648906338731 | 0.735109366126937 | 528 | 19 | 16.7787164435265 | 2.22128355647349 | 529 | 10 | 11.0431273732383 | -1.04312737323828 | 530 | 13 | 13.8231201622521 | -0.823120162252053 | 531 | 21 | 19.2720311955676 | 1.72796880443242 | 532 | 15 | 15.1483010813188 | -0.14830108131876 | 533 | 8 | 12.0356577139520 | -4.03565771395196 | 534 | 17 | 16.9494715972248 | 0.0505284027751579 | 535 | 19 | 16.5188814859827 | 2.48111851401725 | 536 | 18 | 17.4326017557587 | 0.567398244241265 | 537 | 18 | 16.5451515096286 | 1.45484849037136 | 538 | 16 | 16.5736107019117 | -0.573610701911698 | 539 | 18 | 17.4785742971391 | 0.521425702860944 | 540 | 11 | 10.3724048221868 | 0.627595177813159 | 541 | 12 | 13.0654039214973 | -1.06540392149733 | 542 | 12 | 13.0654039214973 | -1.06540392149733 | 543 | 12 | 11.7736335877710 | 0.226366412228961 | 544 | 13 | 15.0542698844160 | -2.05426988441597 | 545 | 19 | 17.1946584845866 | 1.80534151541345 | 546 | 19 | 16.7596900360701 | 2.24030996392986 | 547 | 13 | 14.0951501290427 | -1.09515012904270 | 548 | 14 | 13.2471049183815 | 0.752895081618544 | 549 | 10 | 13.2602399302044 | -3.26023993020440 | 550 | 13 | 13.2952666283989 | -0.295266628398935 | 551 | 17 | 17.7631662199696 | -0.763166219969612 | 552 | 19 | 18.2178371862204 | 0.782162813779552 | 553 | 17 | 16.0648866300100 | 0.93511336999004 | 554 | 11 | 11.1620185899229 | -0.16201858992287 | 555 | 15 | 14.7490354412749 | 0.250964558725072 | 556 | 15 | 15.2168414193487 | -0.216841419348714 | 557 | 9 | 9.88776160529384 | -0.887761605293842 | 558 | 15 | 15.2825164784635 | -0.282516478463457 | 559 | 13 | 13.9666652897284 | -0.966665289728425 | 560 | 13 | 13.5470210216721 | -0.547021021672118 | 561 | 19 | 17.5711954901778 | 1.42880450982225 | 562 | 17 | 15.7941058292804 | 1.20589417071959 | 563 | 21 | 17.1471728848471 | 3.85282711515287 | 564 | 13 | 13.6521011162557 | -0.652101116255708 | 565 | 13 | 13.6521011162557 | -0.652101116255708 | 566 | 13 | 14.7551329458984 | -1.75513294589837 | 567 | 14 | 16.3757485764864 | -2.37574857648641 | 568 | 13 | 14.2030955025415 | -1.20309550254150 | 569 | 15 | 15.0347734756716 | -0.0347734756715683 | 570 | 14 | 14.6151292076153 | -0.615129207615261 | 571 | 12 | 14.3497698012311 | -2.34976980123110 | 572 | 19 | 17.4821156863323 | 1.51788431366768 | 573 | 14 | 13.9520172195464 | 0.0479827804536292 | 574 | 14 | 14.8504133088623 | -0.850413308862254 | 575 | 13 | 14.4088773544344 | -1.40887735443437 | 576 | 13 | 13.9936114236524 | -0.993611423652375 | 577 | 14 | 15.7816469277355 | -1.78164692773551 | 578 | 13 | 11.772796639690 | 1.22720336031001 | 579 | 13 | 13.7983054136573 | -0.79830541365727 | 580 | 14 | 14.0789890005015 | -0.0789890005015414 | 581 | 14 | 14.5358491353895 | -0.535849135389537 | 582 | 14 | 14.9839525957289 | -0.983952595728899 | 583 | 14 | 13.8530346295862 | 0.146965370413777 | 584 | 11 | 12.3610068928075 | -1.36100689280747 | 585 | 13 | 14.1993932755452 | -1.19939327554524 | 586 | 12 | 12.9032446045446 | -0.903244604544629 | 587 | 13 | 15.1459510748786 | -2.1459510748786 | 588 | 13 | 14.0757567747933 | -1.07575677479331 | 589 | 11 | 11.5895825844468 | -0.589582584446755 | 590 | 15 | 14.3022842014917 | 0.69771579850833 | 591 | 16 | 14.3460675742348 | 1.65393242576517 | 592 | 12 | 13.0455405659599 | -1.04554056595991 | 593 | 10 | 7.25741144837988 | 2.74258855162012 | 594 | 16 | 15.3188953972141 | 0.681104602785909 | 595 | 15 | 16.2129131492557 | -1.21291314925566 | 596 | 9 | 8.66958605714987 | 0.330413942850128 | 597 | 12 | 10.9276167079439 | 1.07238329205605 | 598 | 15 | 14.6060055862736 | 0.393994413726394 | 599 | 10 | 10.2491805394150 | -0.249180539414952 | 600 | 9 | 8.31561684820831 | 0.684383151791692 | 601 | 15 | 14.1256376521599 | 0.874362347840086 | 602 | 13 | 13.8646565830501 | -0.864656583050066 | 603 | 15 | 10.1474357250346 | 4.8525642749654 | 604 | 12 | 11.9398495663921 | 0.060150433607945 | 605 | 14 | 9.26874215345314 | 4.73125784654686 | 606 | 12 | 12.3967097012800 | -0.396709701280049 | 607 | 13 | 11.1399660657483 | 1.86003393425171 | 608 | 10 | 8.02513352974433 | 1.97486647025567 | 609 | 14 | 15.1925997265370 | -1.19259972653697 | 610 | 14 | 13.8898835496249 | 0.110116450375110 | 611 | 14 | 14.7839013016665 | -0.783901301666456 | 612 | 12 | 12.5696540236155 | -0.569654023615541 | 613 | 12 | 14.7992254821266 | -2.79922548212656 | 614 | 15 | 14.8736572157899 | 0.126342784210061 | 615 | 13 | 12.2003606342139 | 0.79963936578613 | 616 | 14 | 14.4364995986364 | -0.436499598636367 | 617 | 14 | 9.33290415420878 | 4.66709584579122 | 618 | 11 | 9.99658919806071 | 1.00341080193929 | 619 | 16 | 16.0719694083965 | -0.0719694083964852 | 620 | 13 | 13.4315103563778 | -0.431510356377788 | 621 | 14 | 15.4001007457790 | -1.40010074577896 | 622 | 12 | 13.462158717298 | -1.46215871729800 | 623 | 15 | 15.3136801118587 | -0.313680111858721 | 624 | 19 | 11.5510597682460 | 7.44894023175402 | 625 | 11 | 9.59560439066776 | 1.40439560933224 | 626 | 12 | 13.6329138709963 | -1.63291387099633 | 627 | 13 | 14.2507294279630 | -1.25072942796296 | 628 | 11 | 9.1766362328895 | 1.82336376711050 | 629 | 12 | 11.5867625767186 | 0.413237423281437 | 630 | 12 | 13.1986215327580 | -1.19862153275797 | 631 | 14 | 15.9660523657318 | -1.96605236573184 | 632 | 12 | 14.0495320223344 | -2.04953202233443 |
Goldfeld-Quandt test for Heteroskedasticity | p-values | Alternative Hypothesis | breakpoint index | greater | 2-sided | less | 6 | 0.170858810313012 | 0.341717620626024 | 0.829141189686988 | 7 | 0.0824803239825906 | 0.164960647965181 | 0.91751967601741 | 8 | 0.267842564214982 | 0.535685128429965 | 0.732157435785018 | 9 | 0.175572131175136 | 0.351144262350272 | 0.824427868824864 | 10 | 0.326972089483816 | 0.653944178967631 | 0.673027910516184 | 11 | 0.399771662273971 | 0.799543324547943 | 0.600228337726029 | 12 | 0.612274341928245 | 0.77545131614351 | 0.387725658071755 | 13 | 0.623478851024512 | 0.753042297950976 | 0.376521148975488 | 14 | 0.590207164356103 | 0.819585671287794 | 0.409792835643897 | 15 | 0.712182383122536 | 0.575635233754929 | 0.287817616877464 | 16 | 0.967830929461745 | 0.0643381410765104 | 0.0321690705382552 | 17 | 0.994513862210046 | 0.0109722755799071 | 0.00548613778995355 | 18 | 0.99990082113853 | 0.000198357722941293 | 9.91788614706467e-05 | 19 | 0.99982560556581 | 0.000348788868380286 | 0.000174394434190143 | 20 | 0.999707772606672 | 0.000584454786655948 | 0.000292227393327974 | 21 | 0.999575768036123 | 0.00084846392775407 | 0.000424231963877035 | 22 | 0.999355041670986 | 0.00128991665802825 | 0.000644958329014127 | 23 | 0.999214716110532 | 0.00157056777893490 | 0.000785283889467448 | 24 | 0.998930384378593 | 0.00213923124281427 | 0.00106961562140714 | 25 | 0.99877931225892 | 0.00244137548215896 | 0.00122068774107948 | 26 | 0.998542960857011 | 0.0029140782859776 | 0.0014570391429888 | 27 | 0.998831835334675 | 0.00233632933064895 | 0.00116816466532447 | 28 | 0.998352067754483 | 0.00329586449103333 | 0.00164793224551667 | 29 | 0.997988246521646 | 0.00402350695670873 | 0.00201175347835436 | 30 | 0.997286891015759 | 0.00542621796848241 | 0.00271310898424120 | 31 | 0.996521007595509 | 0.00695798480898293 | 0.00347899240449146 | 32 | 0.99772224830537 | 0.00455550338925879 | 0.00227775169462939 | 33 | 0.997976855426696 | 0.00404628914660706 | 0.00202314457330353 | 34 | 0.999379121893198 | 0.00124175621360334 | 0.00062087810680167 | 35 | 0.999132393565249 | 0.00173521286950192 | 0.000867606434750962 | 36 | 0.998762427023899 | 0.00247514595220244 | 0.00123757297610122 | 37 | 0.99834615192995 | 0.00330769614009962 | 0.00165384807004981 | 38 | 0.997642146602906 | 0.00471570679418894 | 0.00235785339709447 | 39 | 0.996744990056623 | 0.00651001988675361 | 0.00325500994337680 | 40 | 0.995560071091651 | 0.0088798578166972 | 0.0044399289083486 | 41 | 0.993947611563472 | 0.0121047768730550 | 0.00605238843652752 | 42 | 0.992415950324254 | 0.0151680993514917 | 0.00758404967574584 | 43 | 0.992164994749926 | 0.0156700105001486 | 0.00783500525007429 | 44 | 0.990202341047093 | 0.0195953179058140 | 0.00979765895290702 | 45 | 0.989186102870113 | 0.0216277942597732 | 0.0108138971298866 | 46 | 0.985972069418555 | 0.0280558611628891 | 0.0140279305814446 | 47 | 0.983650739240076 | 0.0326985215198470 | 0.0163492607599235 | 48 | 0.97890939522632 | 0.0421812095473598 | 0.0210906047736799 | 49 | 0.974707898019944 | 0.0505842039601131 | 0.0252921019800565 | 50 | 0.970606702183008 | 0.0587865956339843 | 0.0293932978169921 | 51 | 0.964733547588607 | 0.0705329048227869 | 0.0352664524113934 | 52 | 0.964052998702646 | 0.071894002594707 | 0.0359470012973535 | 53 | 0.9554885910215 | 0.089022817956999 | 0.0445114089784995 | 54 | 0.947684261385269 | 0.104631477229462 | 0.052315738614731 | 55 | 0.949726072612155 | 0.100547854775689 | 0.0502739273878445 | 56 | 0.939257602643844 | 0.121484794712312 | 0.060742397356156 | 57 | 0.929262366376084 | 0.141475267247833 | 0.0707376336239165 | 58 | 0.921150628091272 | 0.157698743817455 | 0.0788493719087276 | 59 | 0.911151331921341 | 0.177697336157318 | 0.0888486680786589 | 60 | 0.914976401018525 | 0.170047197962950 | 0.0850235989814749 | 61 | 0.8995526771429 | 0.200894645714199 | 0.100447322857100 | 62 | 0.881971567694174 | 0.236056864611651 | 0.118028432305826 | 63 | 0.86647478888534 | 0.267050422229319 | 0.133525211114660 | 64 | 0.845735457668787 | 0.308529084662426 | 0.154264542331213 | 65 | 0.824508717157146 | 0.350982565685707 | 0.175491282842854 | 66 | 0.848957854050661 | 0.302084291898677 | 0.151042145949339 | 67 | 0.833012796821958 | 0.333974406356083 | 0.166987203178042 | 68 | 0.850244319490653 | 0.299511361018694 | 0.149755680509347 | 69 | 0.83416293590534 | 0.331674128189321 | 0.165837064094660 | 70 | 0.818728036520407 | 0.362543926959185 | 0.181271963479593 | 71 | 0.802670034981539 | 0.394659930036923 | 0.197329965018461 | 72 | 0.78639687814114 | 0.42720624371772 | 0.21360312185886 | 73 | 0.7909524146623 | 0.418095170675401 | 0.209047585337701 | 74 | 0.797888576485589 | 0.404222847028823 | 0.202111423514411 | 75 | 0.777387645555794 | 0.445224708888412 | 0.222612354444206 | 76 | 0.753684429255801 | 0.492631141488398 | 0.246315570744199 | 77 | 0.727015751437044 | 0.545968497125913 | 0.272984248562956 | 78 | 0.698731917688769 | 0.602536164622463 | 0.301268082311232 | 79 | 0.668083967273486 | 0.663832065453029 | 0.331916032726514 | 80 | 0.792889619471873 | 0.414220761056255 | 0.207110380528127 | 81 | 0.771557163029228 | 0.456885673941543 | 0.228442836970772 | 82 | 0.783366507263225 | 0.433266985473551 | 0.216633492736775 | 83 | 0.760108218037105 | 0.47978356392579 | 0.239891781962895 | 84 | 0.735123415506379 | 0.529753168987242 | 0.264876584493621 | 85 | 0.717826507823218 | 0.564346984353564 | 0.282173492176782 | 86 | 0.710687106272 | 0.578625787456001 | 0.289312893728001 | 87 | 0.7005018672608 | 0.5989962654784 | 0.2994981327392 | 88 | 0.709433526725266 | 0.581132946549467 | 0.290566473274734 | 89 | 0.706761191241548 | 0.586477617516903 | 0.293238808758452 | 90 | 0.715102041386748 | 0.569795917226505 | 0.284897958613252 | 91 | 0.746511084707655 | 0.506977830584689 | 0.253488915292345 | 92 | 0.721522778494599 | 0.556954443010802 | 0.278477221505401 | 93 | 0.699759372988208 | 0.600481254023583 | 0.300240627011792 | 94 | 0.674499305962824 | 0.651001388074353 | 0.325500694037176 | 95 | 0.670704367500295 | 0.658591264999409 | 0.329295632499705 | 96 | 0.667837809568851 | 0.664324380862298 | 0.332162190431149 | 97 | 0.642823953001082 | 0.714352093997837 | 0.357176046998919 | 98 | 0.627005454328414 | 0.745989091343172 | 0.372994545671586 | 99 | 0.785972849080175 | 0.428054301839649 | 0.214027150919825 | 100 | 0.817377458172243 | 0.365245083655513 | 0.182622541827757 | 101 | 0.813425874432589 | 0.373148251134822 | 0.186574125567411 | 102 | 0.819511445599942 | 0.360977108800115 | 0.180488554400058 | 103 | 0.825574627712647 | 0.348850744574707 | 0.174425372287353 | 104 | 0.8062845009206 | 0.3874309981588 | 0.1937154990794 | 105 | 0.785092834511282 | 0.429814330977437 | 0.214907165488718 | 106 | 0.798095119317944 | 0.403809761364113 | 0.201904880682056 | 107 | 0.777136315557555 | 0.445727368884890 | 0.222863684442445 | 108 | 0.77268129975126 | 0.454637400497479 | 0.227318700248740 | 109 | 0.754043138873127 | 0.491913722253747 | 0.245956861126873 | 110 | 0.730991123887742 | 0.538017752224515 | 0.269008876112258 | 111 | 0.710893224360294 | 0.578213551279412 | 0.289106775639706 | 112 | 0.685036061357892 | 0.629927877284216 | 0.314963938642108 | 113 | 0.664128480315081 | 0.671743039369837 | 0.335871519684919 | 114 | 0.644155632138592 | 0.711688735722816 | 0.355844367861408 | 115 | 0.619597848498922 | 0.760804303002156 | 0.380402151501078 | 116 | 0.620724021338525 | 0.75855195732295 | 0.379275978661475 | 117 | 0.627895088728085 | 0.744209822543831 | 0.372104911271915 | 118 | 0.610167343155164 | 0.779665313689672 | 0.389832656844836 | 119 | 0.603065486897952 | 0.793869026204096 | 0.396934513102048 | 120 | 0.57729853983136 | 0.84540292033728 | 0.42270146016864 | 121 | 0.706876377271329 | 0.586247245457342 | 0.293123622728671 | 122 | 0.822659875677106 | 0.354680248645789 | 0.177340124322894 | 123 | 0.808361576588755 | 0.38327684682249 | 0.191638423411245 | 124 | 0.789009952703936 | 0.421980094592127 | 0.210990047296064 | 125 | 0.777678198203937 | 0.444643603592125 | 0.222321801796063 | 126 | 0.756887946397756 | 0.486224107204489 | 0.243112053602244 | 127 | 0.734514686645368 | 0.530970626709264 | 0.265485313354632 | 128 | 0.711915997627599 | 0.576168004744802 | 0.288084002372401 | 129 | 0.688707005068424 | 0.622585989863152 | 0.311292994931576 | 130 | 0.6723761846889 | 0.6552476306222 | 0.3276238153111 | 131 | 0.64687310163007 | 0.70625379673986 | 0.35312689836993 | 132 | 0.620943746723145 | 0.75811250655371 | 0.379056253276855 | 133 | 0.59834786005978 | 0.803304279880441 | 0.401652139940221 | 134 | 0.587830287847701 | 0.824339424304598 | 0.412169712152299 | 135 | 0.575057282338098 | 0.849885435323805 | 0.424942717661902 | 136 | 0.548309436173726 | 0.903381127652548 | 0.451690563826274 | 137 | 0.538169939709964 | 0.923660120580072 | 0.461830060290036 | 138 | 0.514151611738695 | 0.97169677652261 | 0.485848388261305 | 139 | 0.491168631913984 | 0.982337263827969 | 0.508831368086016 | 140 | 0.470130638045063 | 0.940261276090127 | 0.529869361954937 | 141 | 0.446549987761666 | 0.893099975523333 | 0.553450012238334 | 142 | 0.428453950268658 | 0.856907900537316 | 0.571546049731342 | 143 | 0.402783963179711 | 0.805567926359423 | 0.597216036820289 | 144 | 0.395788713792241 | 0.791577427584481 | 0.604211286207760 | 145 | 0.388590328483334 | 0.777180656966668 | 0.611409671516666 | 146 | 0.366219691192899 | 0.732439382385798 | 0.633780308807101 | 147 | 0.341525938328742 | 0.683051876657485 | 0.658474061671258 | 148 | 0.319107197345037 | 0.638214394690074 | 0.680892802654963 | 149 | 0.310622078683304 | 0.621244157366607 | 0.689377921316696 | 150 | 0.310629880355958 | 0.621259760711916 | 0.689370119644042 | 151 | 0.365967282546248 | 0.731934565092495 | 0.634032717453752 | 152 | 0.383660600300486 | 0.767321200600973 | 0.616339399699513 | 153 | 0.386074142710792 | 0.772148285421584 | 0.613925857289208 | 154 | 0.366559648080464 | 0.733119296160928 | 0.633440351919536 | 155 | 0.350423105095492 | 0.700846210190984 | 0.649576894904508 | 156 | 0.346451940188269 | 0.692903880376538 | 0.653548059811731 | 157 | 0.336127862541466 | 0.672255725082933 | 0.663872137458534 | 158 | 0.315039943893855 | 0.630079887787711 | 0.684960056106145 | 159 | 0.292576697484241 | 0.585153394968481 | 0.70742330251576 | 160 | 0.273265824798465 | 0.54653164959693 | 0.726734175201535 | 161 | 0.296918883516253 | 0.593837767032506 | 0.703081116483747 | 162 | 0.274843900173228 | 0.549687800346455 | 0.725156099826772 | 163 | 0.278657275207530 | 0.557314550415059 | 0.72134272479247 | 164 | 0.263557354003491 | 0.527114708006982 | 0.736442645996509 | 165 | 0.245186976169933 | 0.490373952339865 | 0.754813023830067 | 166 | 0.226282359032527 | 0.452564718065054 | 0.773717640967473 | 167 | 0.237308339213043 | 0.474616678426086 | 0.762691660786957 | 168 | 0.220901533270326 | 0.441803066540651 | 0.779098466729674 | 169 | 0.203462847452702 | 0.406925694905403 | 0.796537152547298 | 170 | 0.187948098719128 | 0.375896197438255 | 0.812051901280872 | 171 | 0.188662686938731 | 0.377325373877462 | 0.81133731306127 | 172 | 0.187318063854499 | 0.374636127708999 | 0.8126819361455 | 173 | 0.171523059613227 | 0.343046119226455 | 0.828476940386773 | 174 | 0.161695854602729 | 0.323391709205459 | 0.83830414539727 | 175 | 0.148114620877467 | 0.296229241754934 | 0.851885379122533 | 176 | 0.136890520789598 | 0.273781041579196 | 0.863109479210402 | 177 | 0.124066100936173 | 0.248132201872346 | 0.875933899063827 | 178 | 0.119790448473189 | 0.239580896946378 | 0.880209551526811 | 179 | 0.108956797263927 | 0.217913594527854 | 0.891043202736073 | 180 | 0.097706559496119 | 0.195413118992238 | 0.902293440503881 | 181 | 0.0872269861997012 | 0.174453972399402 | 0.912773013800299 | 182 | 0.0977388862782023 | 0.195477772556405 | 0.902261113721798 | 183 | 0.098402642991107 | 0.196805285982214 | 0.901597357008893 | 184 | 0.102151644573758 | 0.204303289147516 | 0.897848355426242 | 185 | 0.294156622861776 | 0.588313245723552 | 0.705843377138224 | 186 | 0.430082505534074 | 0.860165011068149 | 0.569917494465926 | 187 | 0.437222079138287 | 0.874444158276573 | 0.562777920861713 | 188 | 0.449320202479833 | 0.898640404959666 | 0.550679797520167 | 189 | 0.425257909392393 | 0.850515818784786 | 0.574742090607607 | 190 | 0.457513917489962 | 0.915027834979923 | 0.542486082510038 | 191 | 0.49477202754644 | 0.98954405509288 | 0.50522797245356 | 192 | 0.491705794163092 | 0.983411588326185 | 0.508294205836908 | 193 | 0.480447425398171 | 0.960894850796343 | 0.519552574601829 | 194 | 0.458903525130297 | 0.917807050260593 | 0.541096474869703 | 195 | 0.449009856605877 | 0.898019713211753 | 0.550990143394124 | 196 | 0.507877897537101 | 0.984244204925797 | 0.492122102462899 | 197 | 0.485089268974964 | 0.970178537949928 | 0.514910731025036 | 198 | 0.465536542844715 | 0.93107308568943 | 0.534463457155285 | 199 | 0.443699449314229 | 0.887398898628457 | 0.556300550685771 | 200 | 0.436161888953705 | 0.872323777907409 | 0.563838111046296 | 201 | 0.416852156218758 | 0.833704312437516 | 0.583147843781242 | 202 | 0.424217747367117 | 0.848435494734233 | 0.575782252632883 | 203 | 0.411396323981465 | 0.822792647962929 | 0.588603676018535 | 204 | 0.443933633661129 | 0.887867267322257 | 0.556066366338871 | 205 | 0.43985617108018 | 0.87971234216036 | 0.56014382891982 | 206 | 0.422347828817626 | 0.844695657635251 | 0.577652171182374 | 207 | 0.401774834695821 | 0.803549669391642 | 0.598225165304179 | 208 | 0.378977071166436 | 0.757954142332872 | 0.621022928833564 | 209 | 0.384992809992244 | 0.769985619984489 | 0.615007190007756 | 210 | 0.439228303255461 | 0.878456606510922 | 0.560771696744539 | 211 | 0.41656431938535 | 0.8331286387707 | 0.58343568061465 | 212 | 0.3975296825587 | 0.7950593651174 | 0.6024703174413 | 213 | 0.422716529549776 | 0.845433059099551 | 0.577283470450225 | 214 | 0.399436356014926 | 0.798872712029852 | 0.600563643985074 | 215 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0.0149567819803986 | 410 | 0.982648001791283 | 0.0347039964174344 | 0.0173519982087172 | 411 | 0.985870940432768 | 0.0282581191344648 | 0.0141290595672324 | 412 | 0.984722962514147 | 0.0305540749717066 | 0.0152770374858533 | 413 | 0.98245573003774 | 0.0350885399245206 | 0.0175442699622603 | 414 | 0.98250015058117 | 0.0349996988376584 | 0.0174998494188292 | 415 | 0.98398038177921 | 0.0320392364415785 | 0.0160196182207893 | 416 | 0.981475757642844 | 0.0370484847143125 | 0.0185242423571562 | 417 | 0.978581001044071 | 0.0428379979118572 | 0.0214189989559286 | 418 | 0.977639823584183 | 0.0447203528316343 | 0.0223601764158172 | 419 | 0.97480471203791 | 0.0503905759241802 | 0.0251952879620901 | 420 | 0.972095004909733 | 0.0558099901805339 | 0.0279049950902670 | 421 | 0.969981938268032 | 0.0600361234639361 | 0.0300180617319680 | 422 | 0.970696788923843 | 0.0586064221523145 | 0.0293032110761572 | 423 | 0.966655307681195 | 0.0666893846376093 | 0.0333446923188047 | 424 | 0.966147724653287 | 0.0677045506934259 | 0.0338522753467129 | 425 | 0.96693641271502 | 0.066127174569959 | 0.0330635872849795 | 426 | 0.963021630579107 | 0.0739567388417853 | 0.0369783694208926 | 427 | 0.963122594302413 | 0.0737548113951744 | 0.0368774056975872 | 428 | 0.962005378954511 | 0.0759892420909774 | 0.0379946210454887 | 429 | 0.957497824438742 | 0.0850043511225166 | 0.0425021755612583 | 430 | 0.958100832758386 | 0.0837983344832285 | 0.0418991672416142 | 431 | 0.953031471174371 | 0.093937057651258 | 0.046968528825629 | 432 | 0.946684040640859 | 0.106631918718283 | 0.0533159593591414 | 433 | 0.940950963935783 | 0.118098072128435 | 0.0590490360642173 | 434 | 0.935721558667244 | 0.128556882665512 | 0.0642784413327561 | 435 | 0.934421211230376 | 0.131157577539249 | 0.0655787887696243 | 436 | 0.931089266408324 | 0.137821467183352 | 0.0689107335916758 | 437 | 0.922638457490931 | 0.154723085018139 | 0.0773615425090693 | 438 | 0.916883470037522 | 0.166233059924956 | 0.0831165299624779 | 439 | 0.907644423195872 | 0.184711153608257 | 0.0923555768041284 | 440 | 0.897209598585117 | 0.205580802829767 | 0.102790401414883 | 441 | 0.885861861558304 | 0.228276276883393 | 0.114138138441696 | 442 | 0.876269188945276 | 0.247461622109448 | 0.123730811054724 | 443 | 0.864641090965236 | 0.270717818069528 | 0.135358909034764 | 444 | 0.856912566066323 | 0.286174867867354 | 0.143087433933677 | 445 | 0.84796202132124 | 0.304075957357521 | 0.152037978678760 | 446 | 0.832737929157699 | 0.334524141684603 | 0.167262070842301 | 447 | 0.829941243684862 | 0.340117512630275 | 0.170058756315138 | 448 | 0.813598841913156 | 0.372802316173688 | 0.186401158086844 | 449 | 0.797273867777947 | 0.405452264444106 | 0.202726132222053 | 450 | 0.809472501366078 | 0.381054997267845 | 0.190527498633922 | 451 | 0.79192335175906 | 0.416153296481881 | 0.208076648240941 | 452 | 0.775893104064379 | 0.448213791871243 | 0.224106895935621 | 453 | 0.757552166164981 | 0.484895667670038 | 0.242447833835019 | 454 | 0.737510960419987 | 0.524978079160025 | 0.262489039580013 | 455 | 0.716578358716559 | 0.566843282566883 | 0.283421641283441 | 456 | 0.69905972863981 | 0.601880542720381 | 0.300940271360190 | 457 | 0.688811717905716 | 0.622376564188568 | 0.311188282094284 | 458 | 0.665984756060583 | 0.668030487878833 | 0.334015243939417 | 459 | 0.650936555887012 | 0.698126888225975 | 0.349063444112988 | 460 | 0.627221521946543 | 0.745556956106914 | 0.372778478053457 | 461 | 0.616405122776143 | 0.767189754447713 | 0.383594877223857 | 462 | 0.609070754003843 | 0.781858491992314 | 0.390929245996157 | 463 | 0.642391972090106 | 0.715216055819788 | 0.357608027909894 | 464 | 0.635126946695458 | 0.729746106609083 | 0.364873053304542 | 465 | 0.612627906444191 | 0.774744187111617 | 0.387372093555809 | 466 | 0.656404706434563 | 0.687190587130875 | 0.343595293565437 | 467 | 0.632451192257221 | 0.735097615485557 | 0.367548807742779 | 468 | 0.609840022884868 | 0.780319954230263 | 0.390159977115132 | 469 | 0.585279965210628 | 0.829440069578743 | 0.414720034789372 | 470 | 0.561408237970404 | 0.877183524059191 | 0.438591762029596 | 471 | 0.536657942186094 | 0.926684115627811 | 0.463342057813906 | 472 | 0.514101863659001 | 0.971796272681997 | 0.485898136340999 | 473 | 0.492920748500854 | 0.985841497001708 | 0.507079251499146 | 474 | 0.640146252004668 | 0.719707495990663 | 0.359853747995332 | 475 | 0.615690506505011 | 0.768618986989978 | 0.384309493494989 | 476 | 0.600238637229789 | 0.799522725540423 | 0.399761362770211 | 477 | 0.624924090557804 | 0.750151818884391 | 0.375075909442196 | 478 | 0.599872539959095 | 0.80025492008181 | 0.400127460040905 | 479 | 0.574626532167575 | 0.85074693566485 | 0.425373467832425 | 480 | 0.558881654534547 | 0.882236690930906 | 0.441118345465453 | 481 | 0.542422599604351 | 0.915154800791299 | 0.457577400395649 | 482 | 0.533950530015781 | 0.932098939968438 | 0.466049469984219 | 483 | 0.538227091197743 | 0.923545817604513 | 0.461772908802257 | 484 | 0.795599495801833 | 0.408801008396334 | 0.204400504198167 | 485 | 0.784696296045952 | 0.430607407908096 | 0.215303703954048 | 486 | 0.79348019073125 | 0.413039618537498 | 0.206519809268749 | 487 | 0.774288070611615 | 0.45142385877677 | 0.225711929388385 | 488 | 0.75411953034237 | 0.491760939315259 | 0.245880469657630 | 489 | 0.752401741888977 | 0.495196516222046 | 0.247598258111023 | 490 | 0.752666934039392 | 0.494666131921216 | 0.247333065960608 | 491 | 0.748150855960586 | 0.503698288078829 | 0.251849144039414 | 492 | 0.726353935555321 | 0.547292128889358 | 0.273646064444679 | 493 | 0.755067028052309 | 0.489865943895382 | 0.244932971947691 | 494 | 0.740438370057173 | 0.519123259885654 | 0.259561629942827 | 495 | 0.719919724838729 | 0.560160550322542 | 0.280080275161271 | 496 | 0.834856877489382 | 0.330286245021237 | 0.165143122510618 | 497 | 0.830597159205705 | 0.338805681588591 | 0.169402840794295 | 498 | 0.8265885603545 | 0.346822879291001 | 0.173411439645501 | 499 | 0.809866923960333 | 0.380266152079333 | 0.190133076039667 | 500 | 0.807344650777225 | 0.385310698445549 | 0.192655349222775 | 501 | 0.790454769416224 | 0.419090461167551 | 0.209545230583776 | 502 | 0.770145947596559 | 0.459708104806882 | 0.229854052403441 | 503 | 0.760810171803176 | 0.478379656393648 | 0.239189828196824 | 504 | 0.747324764361702 | 0.505350471276596 | 0.252675235638298 | 505 | 0.723979545077817 | 0.552040909844367 | 0.276020454922183 | 506 | 0.700550435225558 | 0.598899129548884 | 0.299449564774442 | 507 | 0.691755737330215 | 0.61648852533957 | 0.308244262669785 | 508 | 0.688504082251089 | 0.622991835497823 | 0.311495917748911 | 509 | 0.662721095180529 | 0.674557809638943 | 0.337278904819471 | 510 | 0.669070658205775 | 0.66185868358845 | 0.330929341794225 | 511 | 0.64231655964193 | 0.715366880716141 | 0.357683440358070 | 512 | 0.778234052400753 | 0.443531895198494 | 0.221765947599247 | 513 | 0.759776364246237 | 0.480447271507525 | 0.240223635753763 | 514 | 0.736255294630019 | 0.527489410739962 | 0.263744705369981 | 515 | 0.712565705046822 | 0.574868589906356 | 0.287434294953178 | 516 | 0.723791835591577 | 0.552416328816845 | 0.276208164408423 | 517 | 0.701321507611122 | 0.597356984777756 | 0.298678492388878 | 518 | 0.698433143783299 | 0.603133712433402 | 0.301566856216701 | 519 | 0.672804699179609 | 0.654390601640782 | 0.327195300820391 | 520 | 0.667951210055181 | 0.664097579889637 | 0.332048789944819 | 521 | 0.696159850849792 | 0.607680298300415 | 0.303840149150208 | 522 | 0.670543425911598 | 0.658913148176805 | 0.329456574088402 | 523 | 0.652552617276262 | 0.694894765447476 | 0.347447382723738 | 524 | 0.682148999641136 | 0.635702000717729 | 0.317851000358864 | 525 | 0.654675374663932 | 0.690649250672135 | 0.345324625336068 | 526 | 0.660212069488375 | 0.67957586102325 | 0.339787930511625 | 527 | 0.648217590835209 | 0.703564818329582 | 0.351782409164791 | 528 | 0.6818781581119 | 0.6362436837762 | 0.3181218418881 | 529 | 0.672905646838404 | 0.654188706323192 | 0.327094353161596 | 530 | 0.651590683999622 | 0.696818632000757 | 0.348409316000378 | 531 | 0.683111993361179 | 0.633776013277642 | 0.316888006638821 | 532 | 0.65462014040363 | 0.69075971919274 | 0.34537985959637 | 533 | 0.800912745353105 | 0.39817450929379 | 0.199087254646895 | 534 | 0.779872007765898 | 0.440255984468205 | 0.220127992234102 | 535 | 0.82152171131737 | 0.35695657736526 | 0.17847828868263 | 536 | 0.81176479819766 | 0.376470403604681 | 0.188235201802341 | 537 | 0.820492631082444 | 0.359014737835112 | 0.179507368917556 | 538 | 0.798904591876576 | 0.402190816246847 | 0.201095408123424 | 539 | 0.791143885099688 | 0.417712229800623 | 0.208856114900312 | 540 | 0.768111215698311 | 0.463777568603378 | 0.231888784301689 | 541 | 0.754992499987606 | 0.490015000024789 | 0.245007500012394 | 542 | 0.742557669699719 | 0.514884660600563 | 0.257442330300281 | 543 | 0.716454669545377 | 0.567090660909246 | 0.283545330454623 | 544 | 0.720976859813495 | 0.55804628037301 | 0.279023140186505 | 545 | 0.754938887572202 | 0.490122224855596 | 0.245061112427798 | 546 | 0.808844072293706 | 0.382311855412587 | 0.191155927706294 | 547 | 0.792698273670589 | 0.414603452658822 | 0.207301726329411 | 548 | 0.771431272963936 | 0.457137454072129 | 0.228568727036064 | 549 | 0.843311268798274 | 0.313377462403453 | 0.156688731201726 | 550 | 0.8236697903697 | 0.352660419260598 | 0.176330209630299 | 551 | 0.80214222564933 | 0.39571554870134 | 0.19785777435067 | 552 | 0.813696141476315 | 0.372607717047370 | 0.186303858523685 | 553 | 0.813129470552075 | 0.37374105889585 | 0.186870529447925 | 554 | 0.797020423910117 | 0.405959152179766 | 0.202979576089883 | 555 | 0.774160459994808 | 0.451679080010383 | 0.225839540005192 | 556 | 0.747396264423218 | 0.505207471153564 | 0.252603735576782 | 557 | 0.767294219071355 | 0.465411561857291 | 0.232705780928645 | 558 | 0.739279288171802 | 0.521441423656395 | 0.260720711828198 | 559 | 0.718753331893462 | 0.562493336213077 | 0.281246668106538 | 560 | 0.69283808100464 | 0.61432383799072 | 0.30716191899536 | 561 | 0.744439215531499 | 0.511121568937002 | 0.255560784468501 | 562 | 0.757630250883704 | 0.484739498232592 | 0.242369749116296 | 563 | 0.950329617639966 | 0.0993407647200674 | 0.0496703823600337 | 564 | 0.94022275872974 | 0.11955448254052 | 0.05977724127026 | 565 | 0.928565688203942 | 0.142868623592117 | 0.0714343117960584 | 566 | 0.920755953821887 | 0.158488092356226 | 0.0792440461781131 | 567 | 0.912819927833081 | 0.174360144333837 | 0.0871800721669187 | 568 | 0.90057800996332 | 0.198843980073359 | 0.0994219900366794 | 569 | 0.88599418558155 | 0.228011628836902 | 0.114005814418451 | 570 | 0.865739328935402 | 0.268521342129195 | 0.134260671064598 | 571 | 0.873865719419208 | 0.252268561161584 | 0.126134280580792 | 572 | 0.933491486145958 | 0.133017027708084 | 0.0665085138540421 | 573 | 0.920352545271679 | 0.159294909456643 | 0.0796474547283215 | 574 | 0.904130910155035 | 0.19173817968993 | 0.095869089844965 | 575 | 0.890035165189105 | 0.21992966962179 | 0.109964834810895 | 576 | 0.872068042221826 | 0.255863915556348 | 0.127931957778174 | 577 | 0.85281308454807 | 0.29437383090386 | 0.14718691545193 | 578 | 0.830730326763726 | 0.338539346472547 | 0.169269673236274 | 579 | 0.805369146810408 | 0.389261706379183 | 0.194630853189592 | 580 | 0.775433527333642 | 0.449132945332717 | 0.224566472666358 | 581 | 0.741867807397496 | 0.516264385205009 | 0.258132192602504 | 582 | 0.706223484264755 | 0.58755303147049 | 0.293776515735245 | 583 | 0.670130390683967 | 0.659739218632065 | 0.329869609316033 | 584 | 0.67523792524433 | 0.64952414951134 | 0.32476207475567 | 585 | 0.644232984623695 | 0.71153403075261 | 0.355767015376305 | 586 | 0.622893823483709 | 0.754212353032583 | 0.377106176516291 | 587 | 0.613329345757672 | 0.773341308484655 | 0.386670654242328 | 588 | 0.583745032658771 | 0.832509934682457 | 0.416254967341229 | 589 | 0.58469963555884 | 0.83060072888232 | 0.41530036444116 | 590 | 0.548557201995359 | 0.902885596009283 | 0.451442798004641 | 591 | 0.559588113750548 | 0.880823772498904 | 0.440411886249452 | 592 | 0.542849230643999 | 0.914301538712001 | 0.457150769356001 | 593 | 0.510714939877423 | 0.978570120245155 | 0.489285060122577 | 594 | 0.497223322009035 | 0.99444664401807 | 0.502776677990965 | 595 | 0.44953083597036 | 0.89906167194072 | 0.55046916402964 | 596 | 0.493667220301103 | 0.987334440602205 | 0.506332779698897 | 597 | 0.449234624292724 | 0.898469248585448 | 0.550765375707276 | 598 | 0.412536923639632 | 0.825073847279264 | 0.587463076360368 | 599 | 0.449762393649344 | 0.899524787298689 | 0.550237606350656 | 600 | 0.547515374294145 | 0.90496925141171 | 0.452484625705855 | 601 | 0.51359611544342 | 0.97280776911316 | 0.48640388455658 | 602 | 0.471388926839015 | 0.94277785367803 | 0.528611073160985 | 603 | 0.541697278180032 | 0.916605443639935 | 0.458302721819968 | 604 | 0.507235695841179 | 0.985528608317642 | 0.492764304158821 | 605 | 0.536183760029009 | 0.927632479941982 | 0.463816239970991 | 606 | 0.502915467311665 | 0.99416906537667 | 0.497084532688335 | 607 | 0.446231050564373 | 0.892462101128746 | 0.553768949435627 | 608 | 0.449535904586282 | 0.899071809172563 | 0.550464095413718 | 609 | 0.389559441312455 | 0.77911888262491 | 0.610440558687545 | 610 | 0.329081922922925 | 0.65816384584585 | 0.670918077077075 | 611 | 0.272201828918002 | 0.544403657836004 | 0.727798171081998 | 612 | 0.256725840001773 | 0.513451680003546 | 0.743274159998227 | 613 | 0.318139894625033 | 0.636279789250067 | 0.681860105374967 | 614 | 0.257953458715955 | 0.515906917431911 | 0.742046541284045 | 615 | 0.214598562211465 | 0.42919712442293 | 0.785401437788535 | 616 | 0.172303842142665 | 0.344607684285330 | 0.827696157857335 | 617 | 0.161242653411964 | 0.322485306823928 | 0.838757346588036 | 618 | 0.151369473440229 | 0.302738946880458 | 0.84863052655977 | 619 | 0.122503399838262 | 0.245006799676524 | 0.877496600161738 | 620 | 0.09089053554533 | 0.18178107109066 | 0.90910946445467 | 621 | 0.0618937294609168 | 0.123787458921834 | 0.938106270539083 | 622 | 0.0767322346018966 | 0.153464469203793 | 0.923267765398103 | 623 | 0.0471858602167346 | 0.0943717204334691 | 0.952814139783265 | 624 | 0.994182987824638 | 0.0116340243507233 | 0.00581701217536163 | 625 | 0.979173794194894 | 0.0416524116102122 | 0.0208262058051061 | 626 | 0.97883696474537 | 0.0423260705092594 | 0.0211630352546297 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | Description | # significant tests | % significant tests | OK/NOK | 1% type I error level | 25 | 0.0402576489533011 | NOK | 5% type I error level | 82 | 0.132045088566828 | NOK | 10% type I error level | 114 | 0.183574879227053 | NOK |
| | Charts produced by software: | | http://www.freestatistics.org/blog/date/2010/Dec/22/t1293030622od7ug46us0jlazk/10nm5f1293029139.png (open in new window) | http://www.freestatistics.org/blog/date/2010/Dec/22/t1293030622od7ug46us0jlazk/10nm5f1293029139.ps (open in new window) |
| http://www.freestatistics.org/blog/date/2010/Dec/22/t1293030622od7ug46us0jlazk/1ylql1293029139.png (open in new window) | http://www.freestatistics.org/blog/date/2010/Dec/22/t1293030622od7ug46us0jlazk/1ylql1293029139.ps (open in new window) |
| http://www.freestatistics.org/blog/date/2010/Dec/22/t1293030622od7ug46us0jlazk/29c7o1293029139.png (open in new window) | http://www.freestatistics.org/blog/date/2010/Dec/22/t1293030622od7ug46us0jlazk/29c7o1293029139.ps (open in new window) |
| http://www.freestatistics.org/blog/date/2010/Dec/22/t1293030622od7ug46us0jlazk/39c7o1293029139.png (open in new window) | http://www.freestatistics.org/blog/date/2010/Dec/22/t1293030622od7ug46us0jlazk/39c7o1293029139.ps (open in new window) |
| http://www.freestatistics.org/blog/date/2010/Dec/22/t1293030622od7ug46us0jlazk/49c7o1293029139.png (open in new window) | http://www.freestatistics.org/blog/date/2010/Dec/22/t1293030622od7ug46us0jlazk/49c7o1293029139.ps (open in new window) |
| http://www.freestatistics.org/blog/date/2010/Dec/22/t1293030622od7ug46us0jlazk/5k37r1293029139.png (open in new window) | http://www.freestatistics.org/blog/date/2010/Dec/22/t1293030622od7ug46us0jlazk/5k37r1293029139.ps (open in new window) |
| http://www.freestatistics.org/blog/date/2010/Dec/22/t1293030622od7ug46us0jlazk/6k37r1293029139.png (open in new window) | http://www.freestatistics.org/blog/date/2010/Dec/22/t1293030622od7ug46us0jlazk/6k37r1293029139.ps (open in new window) |
| http://www.freestatistics.org/blog/date/2010/Dec/22/t1293030622od7ug46us0jlazk/7vd6c1293029139.png (open in new window) | http://www.freestatistics.org/blog/date/2010/Dec/22/t1293030622od7ug46us0jlazk/7vd6c1293029139.ps (open in new window) |
| http://www.freestatistics.org/blog/date/2010/Dec/22/t1293030622od7ug46us0jlazk/8vd6c1293029139.png (open in new window) | http://www.freestatistics.org/blog/date/2010/Dec/22/t1293030622od7ug46us0jlazk/8vd6c1293029139.ps (open in new window) |
| http://www.freestatistics.org/blog/date/2010/Dec/22/t1293030622od7ug46us0jlazk/9nm5f1293029139.png (open in new window) | http://www.freestatistics.org/blog/date/2010/Dec/22/t1293030622od7ug46us0jlazk/9nm5f1293029139.ps (open in new window) |
| | Parameters (Session): | par1 = 3 ; 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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