| workshop 7, multiple regression | *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: Thu, 02 Dec 2010 08:12:37 +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/02/t1291277885h50mxz8ftfobp76.htm/, Retrieved Thu, 02 Dec 2010 09:18:20 +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/02/t1291277885h50mxz8ftfobp76.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 « | 1 1 2 2 0 0
1 1 1 0 1 2
0 1 2 0 1 2
0 1 1 3 1 2
0 1 2 2 1 2
1 1 1 4 0 0
1 1 2 6 1 0
0 1 1 3 0 0
1 1 2 5 2 0
0 1 1 7 0 0
0 1 1 4 1 0
1 1 2 1 1 0
1 1 2 2 0 0
1 1 2 2 0 0
1 1 1 8 0 0
0 1 1 0 0 0
0 1 1 2 0 1
1 1 2 5 0 1
1 1 2 3 0 0
0 1 1 3 0 0
1 1 1 3 1 1
1 1 2 4 1 1
1 1 1 2 0 0
1 1 2 4 0 0
1 1 2 2 0 0
0 1 1 2 0 0
1 1 1 2 1 0
1 1 2 1 1 0
1 1 2 3 0 0
1 1 1 2 0 0
0 1 1 4 0 0
1 1 1 4 0 0
1 1 2 3 0 0
1 1 2 5 0 0
0 1 1 4 0 0
1 1 2 4 0 0
1 1 2 2 0 1
1 1 1 0 0 0
0 1 1 4 0 0
0 1 1 4 0 0
0 1 1 0 0 0
1 1 2 4 0 0
1 1 2 5 2 0
1 1 2 6 0 0
1 1 2 4 0 0
0 1 1 4 0 0
0 1 1 0 0 0
1 1 1 4 0 0
1 1 2 5 0 0
1 1 1 3 0 1
1 1 2 5 0 1
0 1 1 3 0 0
0 1 1 2 0 0
0 1 1 1 0 0
1 1 1 1 1 2
1 1 2 1 1 2
1 1 1 3 1 2
1 1 2 3 1 2
0 1 1 4 0 0
1 1 2 0 0 0
0 1 1 3 1 0
1 1 2 7 1 0
0 1 1 4 1 0
1 1 2 4 1 0
1 1 1 2 1 0
1 1 2 3 1 0
1 1 2 3 0 0
1 1 2 3 0 0
1 1 1 4 0 0
1 1 2 0 0 1
0 1 1 0 0 0
0 1 1 2 1 0
1 1 2 2 1 0
1 1 2 2 0 0
0 1 1 0 0 0
0 1 1 4 0 0
1 1 2 3 1 1
0 1 1 3 1 1
1 1 2 6 0 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 | survived[t] = + 0.145019265778636 -0.164514500634945pclass[t] + 0.507183007206079sex[t] -0.0273936121732978age[t] -0.0379358287916375sibsp[t] + 0.00381938386368801parch[t] + e[t] |
Multiple Linear Regression - Ordinary Least Squares | Variable | Parameter | S.D. | T-STAT H0: parameter = 0 | 2-tail p-value | 1-tail p-value | (Intercept) | 0.145019265778636 | 0.05586 | 2.5961 | 0.009535 | 0.004767 | pclass | -0.164514500634945 | 0.014294 | -11.5092 | 0 | 0 | sex | 0.507183007206079 | 0.023398 | 21.6768 | 0 | 0 | age | -0.0273936121732978 | 0.007168 | -3.8214 | 0.000139 | 6.9e-05 | sibsp | -0.0379358287916375 | 0.011315 | -3.3527 | 0.000823 | 0.000412 | parch | 0.00381938386368801 | 0.013733 | 0.2781 | 0.780973 | 0.390487 |
Multiple Linear Regression - Regression Statistics | Multiple R | 0.594259390098299 | R-squared | 0.353144222720002 | Adjusted R-squared | 0.350662043989073 | F-TEST (value) | 142.271875235949 | F-TEST (DF numerator) | 5 | F-TEST (DF denominator) | 1303 | p-value | 0 | Multiple Linear Regression - Residual Statistics | Residual Standard Deviation | 0.391670590273313 | Sum Squared Residuals | 199.887824224415 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error | 1 | 1 | 0.940083555209321 | 0.0599164447906786 | 2 | 1 | 0.457390711285825 | 0.542609288714175 | 3 | 0 | 0.9645737184914 | -0.9645737184914 | 4 | 0 | 0.375209874765636 | -0.375209874765636 | 5 | 0 | 0.909786494144995 | -0.909786494144995 | 6 | 1 | 0.378113323656585 | 0.621886676343415 | 7 | 1 | 0.792573277724432 | 0.207426722275568 | 8 | 0 | 0.405506935829896 | -0.405506935829896 | 9 | 1 | 0.782031061106093 | 0.217968938893907 | 10 | 0 | 0.295932487136705 | -0.295932487136705 | 11 | 0 | 0.340177494864961 | -0.340177494864961 | 12 | 1 | 0.929541338590922 | 0.0704586614090782 | 13 | 1 | 0.940083555209262 | 0.0599164447907384 | 14 | 1 | 0.940083555209262 | 0.0599164447907384 | 15 | 1 | 0.268538874963407 | 0.731461125036593 | 16 | 0 | 0.48768777234979 | -0.48768777234979 | 17 | 0 | 0.436719931866883 | -0.436719931866883 | 18 | 1 | 0.861722102553057 | 0.138277897446943 | 19 | 1 | 0.912689943035964 | 0.0873100569640362 | 20 | 0 | 0.405506935829896 | -0.405506935829896 | 21 | 1 | 0.371390490901947 | 0.628609509098053 | 22 | 1 | 0.851179885934717 | 0.148820114065283 | 23 | 1 | 0.432900548003194 | 0.567099451996806 | 24 | 1 | 0.885296330862666 | 0.114703669137334 | 25 | 1 | 0.940083555209262 | 0.0599164447907384 | 26 | 0 | 0.432900548003194 | -0.432900548003194 | 27 | 1 | 0.394964719211556 | 0.605035280788444 | 28 | 1 | 0.929541338590922 | 0.0704586614090782 | 29 | 1 | 0.912689943035964 | 0.0873100569640362 | 30 | 1 | 0.432900548003194 | 0.567099451996806 | 31 | 0 | 0.378113323656598 | -0.378113323656598 | 32 | 1 | 0.378113323656598 | 0.621886676343402 | 33 | 1 | 0.912689943035964 | 0.0873100569640362 | 34 | 1 | 0.857902718689368 | 0.142097281310632 | 35 | 0 | 0.378113323656598 | -0.378113323656598 | 36 | 1 | 0.885296330862666 | 0.114703669137334 | 37 | 1 | 0.94390293907295 | 0.0560970609270499 | 38 | 1 | 0.48768777234979 | 0.51231222765021 | 39 | 0 | 0.378113323656598 | -0.378113323656598 | 40 | 0 | 0.378113323656598 | -0.378113323656598 | 41 | 0 | 0.48768777234979 | -0.48768777234979 | 42 | 1 | 0.885296330862666 | 0.114703669137334 | 43 | 1 | 0.782031061106093 | 0.217968938893907 | 44 | 1 | 0.83050910651607 | 0.16949089348393 | 45 | 1 | 0.885296330862666 | 0.114703669137334 | 46 | 0 | 0.378113323656598 | -0.378113323656598 | 47 | 0 | 0.48768777234979 | -0.48768777234979 | 48 | 1 | 0.378113323656598 | 0.621886676343402 | 49 | 1 | 0.857902718689368 | 0.142097281310632 | 50 | 1 | 0.409326319693585 | 0.590673680306415 | 51 | 1 | 0.861722102553057 | 0.138277897446943 | 52 | 0 | 0.405506935829896 | -0.405506935829896 | 53 | 0 | 0.432900548003194 | -0.432900548003194 | 54 | 0 | 0.460294160176492 | -0.460294160176492 | 55 | 1 | 0.429997099112231 | 0.570002900887769 | 56 | 1 | 0.937180106318299 | 0.0628198936817013 | 57 | 1 | 0.375209874765635 | 0.624790125234365 | 58 | 1 | 0.882392881971703 | 0.117607118028297 | 59 | 0 | 0.378113323656598 | -0.378113323656598 | 60 | 1 | 0.994870779555857 | 0.00512922044414267 | 61 | 0 | 0.367571107038259 | -0.367571107038259 | 62 | 1 | 0.765179665551135 | 0.234820334448865 | 63 | 0 | 0.340177494864961 | -0.340177494864961 | 64 | 1 | 0.847360502071028 | 0.152639497928972 | 65 | 1 | 0.394964719211556 | 0.605035280788444 | 66 | 1 | 0.874754114244326 | 0.125245885755674 | 67 | 1 | 0.912689943035964 | 0.0873100569640362 | 68 | 1 | 0.912689943035964 | 0.0873100569640362 | 69 | 1 | 0.378113323656598 | 0.621886676343402 | 70 | 1 | 0.998690163419546 | 0.00130983658045420 | 71 | 0 | 0.48768777234979 | -0.48768777234979 | 72 | 0 | 0.394964719211556 | -0.394964719211556 | 73 | 1 | 0.902147726417624 | 0.0978522735823762 | 74 | 1 | 0.940083555209262 | 0.0599164447907384 | 75 | 0 | 0.48768777234979 | -0.48768777234979 | 76 | 0 | 0.378113323656598 | -0.378113323656598 | 77 | 1 | 0.878573498108014 | 0.121426501891986 | 78 | 0 | 0.371390490901947 | -0.371390490901947 | 79 | 1 | 0.838147874243447 | 0.161852125756553 | 80 | 1 | 0.782031061106093 | 0.217968938893907 | 81 | 0 | 0.48768777234979 | -0.48768777234979 | 82 | 0 | 0.261816042208756 | -0.261816042208756 | 83 | 1 | 0.92032871076334 | 0.0796712892366593 | 84 | 1 | 0.796392661588121 | 0.203607338411879 | 85 | 0 | 0.367571107038259 | -0.367571107038259 | 86 | 1 | 0.874754114244326 | 0.125245885755674 | 87 | 1 | 0.350719711483300 | 0.6492802885167 | 88 | 1 | 0.432900548003194 | 0.567099451996806 | 89 | 1 | 0.912689943035964 | 0.0873100569640362 | 90 | 0 | 0.367571107038259 | -0.367571107038259 | 91 | 1 | 0.909786494145 | 0.0902135058549992 | 92 | 1 | 0.367571107038258 | 0.632428892961742 | 93 | 1 | 0.929541338590922 | 0.0704586614090782 | 94 | 1 | 0.316603266555351 | 0.683396733444649 | 95 | 1 | 0.495326540077167 | 0.504673459922833 | 96 | 1 | 0.823786273761419 | 0.176213726238581 | 97 | 0 | 0.312783882691663 | -0.312783882691663 | 98 | 1 | 0.905967110281312 | 0.0940328897186877 | 99 | 1 | 0.847360502071028 | 0.152639497928972 | 100 | 1 | 0.847360502071028 | 0.152639497928972 | 101 | 1 | 0.340177494864961 | 0.659822505135039 | 102 | 0 | 0.405506935829896 | -0.405506935829896 | 103 | 1 | 0.94390293907295 | 0.0560970609270499 | 104 | 1 | 0.912689943035964 | 0.0873100569640362 | 105 | 1 | 0.81996688989773 | 0.180033110102270 | 106 | 0 | 0.912689943035964 | -0.912689943035964 | 107 | 0 | 0.48768777234979 | -0.48768777234979 | 108 | 1 | 0.994870779555857 | 0.00512922044414267 | 109 | 1 | 0.994870779555857 | 0.00512922044414267 | 110 | 1 | 0.405506935829896 | 0.594493064170104 | 111 | 0 | 0.405506935829896 | -0.405506935829896 | 112 | 1 | 0.833914836561725 | 0.166085163438275 | 113 | 1 | 0.833914836561725 | 0.166085163438275 | 114 | 1 | 0.833914836561725 | 0.166085163438275 | 115 | 0 | 0.354125441528956 | -0.354125441528956 | 116 | 0 | 0.300667805973119 | -0.300667805973119 | 117 | 1 | 0.807850813179186 | 0.192149186820814 | 118 | 1 | 0.912689943035964 | 0.0873100569640362 | 119 | 0 | 0.48768777234979 | -0.48768777234979 | 120 | 1 | 0.274848053900025 | 0.725151946099975 | 121 | 1 | 0.340177494864961 | 0.659822505135039 | 122 | 1 | 0.95693495076422 | 0.0430650492357804 | 123 | 1 | 0.947722322936639 | 0.0522776770633614 | 124 | 1 | 0.289209654382053 | 0.710790345617947 | 125 | 1 | 0.851179885934717 | 0.148820114065283 | 126 | 0 | 0.48768777234979 | -0.48768777234979 | 127 | 0 | 0.367571107038259 | -0.367571107038259 | 128 | 1 | 0.874754114244326 | 0.125245885755674 | 129 | 0 | 0.378113323656598 | -0.378113323656598 | 130 | 1 | 0.912689943035964 | 0.0873100569640362 | 131 | 1 | 0.94390293907295 | 0.0560970609270499 | 132 | 1 | 0.889115714726354 | 0.110884285273646 | 133 | 0 | 0.432900548003194 | -0.432900548003194 | 134 | 1 | 0.340177494864961 | 0.659822505135039 | 135 | 1 | 0.95693495076422 | 0.0430650492357804 | 136 | 0 | 0.295932487136705 | -0.295932487136705 | 137 | 1 | 0.350719711483300 | 0.6492802885167 | 138 | 1 | 0.96747716738256 | 0.0325228326174405 | 139 | 0 | 0.409326319693585 | -0.409326319693585 | 140 | 1 | 0.861722102553057 | 0.138277897446943 | 141 | 1 | 0.436719931866883 | 0.563280068133117 | 142 | 1 | 0.889115714726354 | 0.110884285273646 | 143 | 0 | 0.378113323656598 | -0.378113323656598 | 144 | 1 | 0.394964719211556 | 0.605035280788444 | 145 | 1 | 0.902147726417624 | 0.0978522735823762 | 146 | 1 | 0.340177494864961 | 0.659822505135039 | 147 | 1 | 0.847360502071028 | 0.152639497928972 | 148 | 0 | 0.48768777234979 | -0.48768777234979 | 149 | 0 | 0.340177494864961 | -0.340177494864961 | 150 | 1 | 0.874754114244326 | 0.125245885755674 | 151 | 0 | 0.378113323656598 | -0.378113323656598 | 152 | 1 | 0.432900548003194 | 0.567099451996806 | 153 | 1 | 0.48768777234979 | 0.51231222765021 | 154 | 1 | 0.940083555209262 | 0.0599164447907384 | 155 | 0 | 0.316603266555351 | -0.316603266555351 | 156 | 1 | 0.823786273761419 | 0.176213726238581 | 157 | 0 | 0.378113323656598 | -0.378113323656598 | 158 | 0 | 0.48768777234979 | -0.48768777234979 | 159 | 0 | 0.350719711483301 | -0.350719711483301 | 160 | 1 | 0.971296551246248 | 0.0287034487537520 | 161 | 1 | 0.889115714726354 | 0.110884285273646 | 162 | 1 | 0.81996688989773 | 0.180033110102270 | 163 | 0 | 0.340177494864961 | -0.340177494864961 | 164 | 1 | 0.874754114244326 | 0.125245885755674 | 165 | 1 | 0.405506935829896 | 0.594493064170104 | 166 | 1 | 0.367571107038258 | 0.632428892961742 | 167 | 0 | 0.48768777234979 | -0.48768777234979 | 168 | 1 | 0.874754114244326 | 0.125245885755674 | 169 | 1 | 0.912689943035964 | 0.0873100569640362 | 170 | 0 | 0.857902718689368 | -0.857902718689368 | 171 | 1 | 0.378113323656598 | 0.621886676343402 | 172 | 0 | 0.378113323656598 | -0.378113323656598 | 173 | 0 | 0.350719711483301 | -0.350719711483301 | 174 | 0 | 0.405506935829896 | -0.405506935829896 | 175 | 0 | 0.350719711483301 | -0.350719711483301 | 176 | 0 | 0.340177494864961 | -0.340177494864961 | 177 | 1 | 0.95693495076422 | 0.0430650492357804 | 178 | 1 | 0.340177494864961 | 0.659822505135039 | 179 | 1 | 0.847360502071028 | 0.152639497928972 | 180 | 0 | 0.48768777234979 | -0.48768777234979 | 181 | 1 | 0.912689943035964 | 0.0873100569640362 | 182 | 1 | 0.885296330862666 | 0.114703669137334 | 183 | 1 | 0.912689943035964 | 0.0873100569640362 | 184 | 1 | 0.405506935829896 | 0.594493064170104 | 185 | 0 | 0.48768777234979 | -0.48768777234979 | 186 | 0 | 0.378113323656598 | -0.378113323656598 | 187 | 1 | 0.857902718689368 | 0.142097281310632 | 188 | 1 | 0.971296551246248 | 0.0287034487537520 | 189 | 1 | 0.861722102553057 | 0.138277897446943 | 190 | 0 | 0.432900548003194 | -0.432900548003194 | 191 | 1 | 0.940083555209262 | 0.0599164447907384 | 192 | 0 | 0.405506935829896 | -0.405506935829896 | 193 | 1 | 0.857902718689368 | 0.142097281310632 | 194 | 1 | 0.971296551246248 | 0.0287034487537520 | 195 | 0 | 0.405506935829896 | -0.405506935829896 | 196 | 1 | 0.96747716738256 | 0.0325228326174405 | 197 | 1 | 0.48768777234979 | 0.51231222765021 | 198 | 0 | 0.422358331384854 | -0.422358331384854 | 199 | 1 | 0.929541338590922 | 0.0704586614090782 | 200 | 1 | 0.940083555209262 | 0.0599164447907384 | 201 | 0 | 0.378113323656598 | -0.378113323656598 | 202 | 0 | 0.350719711483301 | -0.350719711483301 | 203 | 1 | 0.405506935829896 | 0.594493064170104 | 204 | 0 | 0.394964719211556 | -0.394964719211556 | 205 | 1 | 0.95693495076422 | 0.0430650492357804 | 206 | 0 | 0.323326099310003 | -0.323326099310003 | 207 | 0 | 0.302241666073323 | -0.302241666073323 | 208 | 1 | 0.874754114244326 | 0.125245885755674 | 209 | 1 | 0.874754114244326 | 0.125245885755674 | 210 | 1 | 0.367571107038258 | 0.632428892961742 | 211 | 0 | 0.350719711483301 | -0.350719711483301 | 212 | 0 | 0.378113323656598 | -0.378113323656598 | 213 | 0 | 0.409326319693585 | -0.409326319693585 | 214 | 1 | 0.874754114244326 | 0.125245885755674 | 215 | 1 | 0.902147726417624 | 0.0978522735823762 | 216 | 0 | 0.358358479210677 | -0.358358479210677 | 217 | 1 | 0.975115935109936 | 0.0248840648900636 | 218 | 0 | 0.323326099310003 | -0.323326099310003 | 219 | 1 | 0.912689943035964 | 0.0873100569640362 | 220 | 1 | 0.48768777234979 | 0.51231222765021 | 221 | 1 | 0.94390293907295 | 0.0560970609270499 | 222 | 0 | 0.327145483173691 | -0.327145483173691 | 223 | 0 | 0.432900548003194 | -0.432900548003194 | 224 | 0 | 0.48768777234979 | -0.48768777234979 | 225 | 0 | 0.378113323656598 | -0.378113323656598 | 226 | 0 | 0.432900548003194 | -0.432900548003194 | 227 | 0 | 0.394964719211556 | -0.394964719211556 | 228 | 1 | 0.902147726417624 | 0.0978522735823762 | 229 | 0 | 0.422358331384854 | -0.422358331384854 | 230 | 1 | 0.929541338590922 | 0.0704586614090782 | 231 | 1 | 0.912689943035964 | 0.0873100569640362 | 232 | 1 | 0.350719711483300 | 0.6492802885167 | 233 | 0 | 0.378113323656598 | -0.378113323656598 | 234 | 1 | 0.861722102553057 | 0.138277897446943 | 235 | 0 | 0.405506935829896 | -0.405506935829896 | 236 | 1 | 0.48768777234979 | 0.51231222765021 | 237 | 0 | 0.432900548003194 | -0.432900548003194 | 238 | 0 | 0.48768777234979 | -0.48768777234979 | 239 | 1 | 0.889115714726354 | 0.110884285273646 | 240 | 0 | 0.405506935829896 | -0.405506935829896 | 241 | 1 | 0.378113323656598 | 0.621886676343402 | 242 | 0 | 0.48768777234979 | -0.48768777234979 | 243 | 1 | 0.912689943035964 | 0.0873100569640362 | 244 | 0 | 0.378113323656598 | -0.378113323656598 | 245 | 0 | 0.405506935829896 | -0.405506935829896 | 246 | 1 | 0.912689943035964 | 0.0873100569640362 | 247 | 0 | 0.312783882691663 | -0.312783882691663 | 248 | 1 | 0.81996688989773 | 0.180033110102270 | 249 | 0 | 0.405506935829896 | -0.405506935829896 | 250 | 1 | 0.392061270320593 | 0.607938729679407 | 251 | 1 | 0.899244277526661 | 0.100755722473339 | 252 | 1 | 0.871850665353363 | 0.128149334646637 | 253 | 0 | 0.296848422109430 | -0.296848422109430 | 254 | 1 | 0.858818653662094 | 0.141181346337906 | 255 | 1 | 0.48768777234979 | 0.51231222765021 | 256 | 1 | 0.940083555209262 | 0.0599164447907384 | 257 | 1 | 0.48768777234979 | 0.51231222765021 | 258 | 1 | 0.874754114244326 | 0.125245885755674 | 259 | 1 | 0.912689943035964 | 0.0873100569640362 | 260 | 1 | 0.405506935829896 | 0.594493064170104 | 261 | 1 | 0.885296330862666 | 0.114703669137334 | 262 | 1 | 0.405506935829896 | 0.594493064170104 | 263 | 0 | 0.312783882691663 | -0.312783882691663 | 264 | 1 | 0.874754114244326 | 0.125245885755674 | 265 | 1 | 0.350719711483300 | 0.6492802885167 | 266 | 1 | 0.432900548003194 | 0.567099451996806 | 267 | 0 | 0.350719711483301 | -0.350719711483301 | 268 | 0 | 0.350719711483301 | -0.350719711483301 | 269 | 0 | 0.394964719211556 | -0.394964719211556 | 270 | 0 | 0.48768777234979 | -0.48768777234979 | 271 | 1 | 0.929541338590922 | 0.0704586614090782 | 272 | 1 | 0.394964719211556 | 0.605035280788444 | 273 | 1 | 0.902147726417624 | 0.0978522735823762 | 274 | 1 | 0.495326540077167 | 0.504673459922833 | 275 | 1 | 0.343996878728649 | 0.656003121271351 | 276 | 1 | 0.851179885934717 | 0.148820114065283 | 277 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0.158658771079878 | -0.158658771079878 | 1040 | 1 | 0.665841778285946 | 0.334158221714054 | 1041 | 1 | 0.61105455393935 | 0.38894544606065 | 1042 | 0 | 0.158658771079878 | -0.158658771079878 | 1043 | 1 | 0.627905949494308 | 0.372094050505692 | 1044 | 1 | 0.627905949494308 | 0.372094050505692 | 1045 | 1 | 0.665841778285946 | 0.334158221714054 | 1046 | 0 | 0.131265158906581 | -0.131265158906581 | 1047 | 0 | 0.103871546733283 | -0.103871546733283 | 1048 | 1 | 0.638448166112648 | 0.361551833887352 | 1049 | 1 | 0.673480546013323 | 0.326519453986677 | 1050 | 1 | 0.0697551018053332 | 0.930244898194667 | 1051 | 1 | 0.604331721184699 | 0.395668278815301 | 1052 | 0 | 0.0764779345599848 | -0.0764779345599848 | 1053 | 0 | 0.158658771079878 | -0.158658771079878 | 1054 | 0 | 0.158658771079878 | -0.158658771079878 | 1055 | 0 | 0.665841778285946 | -0.665841778285946 | 1056 | 0 | 0.158658771079878 | -0.158658771079878 | 1057 | 1 | 0.0933293301149428 | 0.906670669885057 | 1058 | 1 | 0.60051233732101 | 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0.158658771079878 | -0.158658771079878 | 1117 | 0 | 0.158658771079878 | -0.158658771079878 | 1118 | 0 | 0.103871546733283 | -0.103871546733283 | 1119 | 0 | 0.103871546733283 | -0.103871546733283 | 1120 | 0 | 0.103871546733283 | -0.103871546733283 | 1121 | 1 | 0.0659357179416448 | 0.934064282058355 | 1122 | 1 | 0.124542326151929 | 0.875457673848071 | 1123 | 1 | 0.631725333357997 | 0.368274666642003 | 1124 | 1 | 0.673480546013323 | 0.326519453986677 | 1125 | 0 | 0.665841778285946 | -0.665841778285946 | 1126 | 0 | 0.103871546733283 | -0.103871546733283 | 1127 | 0 | 0.61105455393935 | -0.61105455393935 | 1128 | 0 | 0.131265158906581 | -0.131265158906581 | 1129 | 0 | 0.158658771079878 | -0.158658771079878 | 1130 | 0 | 0.0659357179416449 | -0.0659357179416449 | 1131 | 0 | 0.638448166112648 | -0.638448166112648 | 1132 | 1 | 0.0764779345599848 | 0.923522065440015 | 1133 | 0 | 0.158658771079878 | -0.158658771079878 | 1134 | 0 | 0.131265158906581 | -0.131265158906581 | 1135 | 0 | 0.103871546733283 | -0.103871546733283 | 1136 | 0 | 0.158658771079878 | -0.158658771079878 | 1137 | 0 | 0.665841778285946 | -0.665841778285946 | 1138 | 0 | 0.158658771079878 | -0.158658771079878 | 1139 | 0 | 0.158658771079878 | -0.158658771079878 | 1140 | 0 | 0.0764779345599848 | -0.0764779345599848 | 1141 | 0 | 0.103871546733283 | -0.103871546733283 | 1142 | 0 | -0.016658772396282 | 0.016658772396282 | 1143 | 0 | 0.0107348397770158 | -0.0107348397770158 | 1144 | 0 | 0.0107348397770158 | -0.0107348397770158 | 1145 | 0 | 0.0107348397770158 | -0.0107348397770158 | 1146 | 0 | 0.0107348397770158 | -0.0107348397770158 | 1147 | 0 | 0.602757861084495 | -0.602757861084495 | 1148 | 0 | 0.61105455393935 | -0.61105455393935 | 1149 | 0 | 0.0764779345599848 | -0.0764779345599848 | 1150 | 1 | 0.665841778285946 | 0.334158221714054 | 1151 | 0 | 0.158658771079878 | -0.158658771079878 | 1152 | 0 | 0.665841778285946 | -0.665841778285946 | 1153 | 0 | -0.0162451185782487 | 0.0162451185782487 | 1154 | 0 | 0.518331500801117 | -0.518331500801117 | 1155 | 0 | 0.158658771079878 | -0.158658771079878 | 1156 | 0 | 0.158658771079878 | -0.158658771079878 | 1157 | 0 | 0.631725333357997 | -0.631725333357997 | 1158 | 0 | 0.0971487139786312 | -0.0971487139786312 | 1159 | 0 | 0.563906097320132 | -0.563906097320132 | 1160 | 1 | 0.665841778285946 | 0.334158221714054 | 1161 | 0 | 0.0216907102133891 | -0.0216907102133891 | 1162 | 0 | 0.131265158906581 | -0.131265158906581 | 1163 | 1 | 0.158658771079878 | 0.841341228920122 | 1164 | 0 | 0.158658771079878 | -0.158658771079878 | 1165 | 0 | 0.158658771079878 | -0.158658771079878 | 1166 | 0 | 0.103871546733283 | -0.103871546733283 | 1167 | 0 | 0.158658771079878 | -0.158658771079878 | 1168 | 0 | 0.158658771079878 | -0.158658771079878 | 1169 | 0 | 0.158658771079878 | -0.158658771079878 | 1170 | 0 | 0.0764779345599848 | -0.0764779345599848 | 1171 | 0 | -0.137189091525847 | 0.137189091525847 | 1172 | 0 | -0.164582703699144 | 0.164582703699144 | 1173 | 0 | 0.369993915680221 | -0.369993915680221 | 1174 | 0 | 0.369993915680221 | -0.369993915680221 | 1175 | 0 | 0.369993915680221 | -0.369993915680221 | 1176 | 0 | 0.369993915680221 | -0.369993915680221 | 1177 | 0 | -0.137189091525847 | 0.137189091525847 | 1178 | 0 | -0.137189091525847 | 0.137189091525847 | 1179 | 0 | -0.137189091525847 | 0.137189091525847 | 1180 | 0 | 0.155097397061437 | -0.155097397061437 | 1181 | 0 | 0.662280404267504 | -0.662280404267504 | 1182 | 0 | 0.103871546733283 | -0.103871546733283 | 1183 | 1 | 0.61105455393935 | 0.38894544606065 | 1184 | 0 | 0.0764779345599848 | -0.0764779345599848 | 1185 | 0 | 0.0827871134966029 | -0.0827871134966029 | 1186 | 0 | 0.0827871134966029 | -0.0827871134966029 | 1187 | 0 | 0.0827871134966029 | -0.0827871134966029 | 1188 | 1 | 0.631725333357997 | 0.368274666642003 | 1189 | 1 | 0.618693321666727 | 0.381306678333273 | 1190 | 1 | 0.631725333357997 | 0.368274666642003 | 1191 | 1 | 0.103871546733283 | 0.896128453266717 | 1192 | 0 | 0.103871546733283 | -0.103871546733283 | 1193 | 0 | 0.103871546733283 | -0.103871546733283 | 1194 | 0 | 0.158658771079878 | -0.158658771079878 | 1195 | 0 | 0.158658771079878 | -0.158658771079878 | 1196 | 0 | 0.158658771079878 | -0.158658771079878 | 1197 | 1 | 0.103871546733283 | 0.896128453266717 | 1198 | 0 | 0.158658771079878 | -0.158658771079878 | 1199 | 1 | 0.665841778285946 | 0.334158221714054 | 1200 | 0 | 0.158658771079878 | -0.158658771079878 | 1201 | 0 | 0.158658771079878 | -0.158658771079878 | 1202 | 0 | 0.103871546733283 | -0.103871546733283 | 1203 | 0 | 0.158658771079878 | -0.158658771079878 | 1204 | 0 | 0.0490843223866869 | -0.0490843223866869 | 1205 | 0 | 0.103871546733283 | -0.103871546733283 | 1206 | 1 | 0.638448166112648 | 0.361551833887352 | 1207 | 0 | 0.0524900524323421 | -0.0524900524323421 | 1208 | 0 | 0.0250964402590442 | -0.0250964402590442 | 1209 | 0 | 0.55967305963841 | -0.55967305963841 | 1210 | 0 | 0.55967305963841 | -0.55967305963841 | 1211 | 0 | 0.0264260290498031 | -0.0264260290498031 | 1212 | 0 | 0.533609036255871 | -0.533609036255871 | 1213 | 0 | 0.158658771079878 | -0.158658771079878 | 1214 | 0 | 0.158658771079878 | -0.158658771079878 | 1215 | 0 | 0.158658771079878 | -0.158658771079878 | 1216 | 0 | 0.158658771079878 | -0.158658771079878 | 1217 | 1 | 0.665841778285946 | 0.334158221714054 | 1218 | 0 | 0.131265158906581 | -0.131265158906581 | 1219 | 0 | 0.0764779345599848 | -0.0764779345599848 | 1220 | 0 | 0.158658771079878 | -0.158658771079878 | 1221 | 0 | 0.0764779345599848 | -0.0764779345599848 | 1222 | 0 | 0.158658771079878 | -0.158658771079878 | 1223 | 0 | 0.0764779345599848 | -0.0764779345599848 | 1224 | 1 | 0.61105455393935 | 0.38894544606065 | 1225 | 0 | 0.103871546733283 | -0.103871546733283 | 1226 | 0 | -0.00570290195990878 | 0.00570290195990878 | 1227 | 0 | 0.131265158906581 | -0.131265158906581 | 1228 | 0 | 0.61105455393935 | -0.61105455393935 | 1229 | 1 | 0.0764779345599848 | 0.923522065440015 | 1230 | 0 | 0.103871546733283 | -0.103871546733283 | 1231 | 0 | 0.669661162149634 | -0.669661162149634 | 1232 | 0 | 0.576938109011401 | -0.576938109011401 | 1233 | 1 | 0.131265158906581 | 0.868734841093419 | 1234 | 1 | 0.0490843223866868 | 0.950915677613313 | 1235 | 0 | 0.103871546733283 | -0.103871546733283 | 1236 | 0 | -0.0330965141332066 | 0.0330965141332066 | 1237 | 1 | 0.131265158906581 | 0.868734841093419 | 1238 | 0 | 0.103871546733283 | -0.103871546733283 | 1239 | 1 | 0.103871546733283 | 0.896128453266717 | 1240 | 0 | 0.0764779345599848 | -0.0764779345599848 | 1241 | 1 | 0.162478154943567 | 0.837521845056433 | 1242 | 0 | 0.120722942288241 | -0.120722942288241 | 1243 | 0 | 0.158658771079878 | -0.158658771079878 | 1244 | 0 | 0.158658771079878 | -0.158658771079878 | 1245 | 1 | 0.604331721184699 | 0.395668278815301 | 1246 | 0 | 0.158658771079878 | -0.158658771079878 | 1247 | 0 | 0.120722942288241 | -0.120722942288241 | 1248 | 1 | 0.627905949494308 | 0.372094050505692 | 1249 | 0 | 0.0764779345599848 | -0.0764779345599848 | 1250 | 0 | 0.158658771079878 | -0.158658771079878 | 1251 | 0 | 0.158658771079878 | -0.158658771079878 | 1252 | 0 | 0.0764779345599848 | -0.0764779345599848 | 1253 | 0 | 0.0490843223866869 | -0.0490843223866869 | 1254 | 0 | 0.158658771079878 | -0.158658771079878 | 1255 | 1 | 0.103871546733283 | 0.896128453266717 | 1256 | 0 | 0.158658771079878 | -0.158658771079878 | 1257 | 1 | 0.124542326151929 | 0.875457673848071 | 1258 | 1 | 0.631725333357997 | 0.368274666642003 | 1259 | 1 | 0.618693321666727 | 0.381306678333273 | 1260 | 0 | 0.0764779345599848 | -0.0764779345599848 | 1261 | 1 | 0.638448166112648 | 0.361551833887352 | 1262 | 1 | 0.501480105246159 | 0.498519894753841 | 1263 | 0 | 0.124542326151929 | -0.124542326151929 | 1264 | 0 | 0.0971487139786312 | -0.0971487139786312 | 1265 | 0 | 0.0567230901140639 | -0.0567230901140639 | 1266 | 0 | 0.646086933840025 | -0.646086933840025 | 1267 | 0 | 0.0423614896320355 | -0.0423614896320355 | 1268 | 0 | 0.549544496838103 | -0.549544496838103 | 1269 | 0 | 0.158658771079878 | -0.158658771079878 | 1270 | 0 | 0.0764779345599848 | -0.0764779345599848 | 1271 | 0 | 0.103871546733283 | -0.103871546733283 | 1272 | 0 | 0.103871546733283 | -0.103871546733283 | 1273 | 0 | 0.0490843223866869 | -0.0490843223866869 | 1274 | 0 | 0.562576508529372 | -0.562576508529372 | 1275 | 0 | -0.0373295518149285 | 0.0373295518149285 | 1276 | 0 | 0.055393501323305 | -0.055393501323305 | 1277 | 0 | 0.545725112974415 | -0.545725112974415 | 1278 | 1 | 0.103871546733283 | 0.896128453266717 | 1279 | 0 | 0.103871546733283 | -0.103871546733283 | 1280 | 0 | 0.638448166112648 | -0.638448166112648 | 1281 | 0 | 0.103871546733283 | -0.103871546733283 | 1282 | 0 | 0.103871546733283 | -0.103871546733283 | 1283 | 0 | 0.158658771079878 | -0.158658771079878 | 1284 | 0 | 0.158658771079878 | -0.158658771079878 | 1285 | 0 | 0.158658771079878 | -0.158658771079878 | 1286 | 0 | 0.0764779345599848 | -0.0764779345599848 | 1287 | 1 | 0.583660941766052 | 0.416339058233948 | 1288 | 0 | 0.0216907102133891 | -0.0216907102133891 | 1289 | 0 | 0.0933293301149428 | -0.0933293301149428 | 1290 | 0 | 0.0659357179416449 | -0.0659357179416449 | 1291 | 1 | 0.518331500801117 | 0.481668499198883 | 1292 | 0 | 0.158658771079878 | -0.158658771079878 | 1293 | 0 | 0.158658771079878 | -0.158658771079878 | 1294 | 0 | 0.158658771079878 | -0.158658771079878 | 1295 | 0 | 0.103871546733283 | -0.103871546733283 | 1296 | 0 | 0.103871546733283 | -0.103871546733283 | 1297 | 0 | 0.103871546733283 | -0.103871546733283 | 1298 | 0 | 0.158658771079878 | -0.158658771079878 | 1299 | 0 | 0.0764779345599848 | -0.0764779345599848 | 1300 | 0 | 0.0659357179416449 | -0.0659357179416449 | 1301 | 1 | 0.60051233732101 | 0.39948766267899 | 1302 | 0 | 0.0490843223866869 | -0.0490843223866869 | 1303 | 0 | 0.158658771079878 | -0.158658771079878 | 1304 | 0 | 0.158658771079878 | -0.158658771079878 | 1305 | 0 | 0.60051233732101 | -0.60051233732101 | 1306 | 0 | 0.627905949494308 | -0.627905949494308 | 1307 | 0 | 0.103871546733283 | -0.103871546733283 | 1308 | 0 | 0.103871546733283 | -0.103871546733283 | 1309 | 0 | 0.103871546733283 | -0.103871546733283 |
Goldfeld-Quandt test for Heteroskedasticity | p-values | Alternative Hypothesis | breakpoint index | greater | 2-sided | less | 9 | 0.966166776182327 | 0.067666447635346 | 0.033833223817673 | 10 | 0.940102109304444 | 0.119795781391112 | 0.059897890695556 | 11 | 0.97800839000131 | 0.0439832199973799 | 0.0219916099986900 | 12 | 0.95950299555805 | 0.0809940088838983 | 0.0404970044419492 | 13 | 0.936911542475158 | 0.126176915049683 | 0.0630884575248417 | 14 | 0.90444526333579 | 0.19110947332842 | 0.09555473666421 | 15 | 0.94593116437828 | 0.108137671243441 | 0.0540688356217207 | 16 | 0.953541302141247 | 0.092917395717507 | 0.0464586978587535 | 17 | 0.936929374454923 | 0.126141251090154 | 0.0630706255450772 | 18 | 0.919439259043415 | 0.161121481913170 | 0.0805607409565848 | 19 | 0.88880690519629 | 0.222386189607419 | 0.111193094803709 | 20 | 0.882490037254012 | 0.235019925491976 | 0.117509962745988 | 21 | 0.935102613918277 | 0.129794772163445 | 0.0648973860817226 | 22 | 0.915894604311539 | 0.168210791376923 | 0.0841053956884613 | 23 | 0.934666849485187 | 0.130666301029625 | 0.0653331505148127 | 24 | 0.912534773804696 | 0.174930452390608 | 0.0874652261953038 | 25 | 0.88703523033617 | 0.225929539327661 | 0.112964769663830 | 26 | 0.887713368570556 | 0.224573262858888 | 0.112286631429444 | 27 | 0.898220557972268 | 0.203558884055464 | 0.101779442027732 | 28 | 0.869920795085976 | 0.260158409828047 | 0.130079204914024 | 29 | 0.838913902101977 | 0.322172195796046 | 0.161086097898023 | 30 | 0.856230472404373 | 0.287539055191254 | 0.143769527595627 | 31 | 0.870834176217867 | 0.258331647564267 | 0.129165823782133 | 32 | 0.880875325935038 | 0.238249348129924 | 0.119124674064962 | 33 | 0.85339667714366 | 0.293206645712681 | 0.146603322856341 | 34 | 0.821562734591786 | 0.356874530816428 | 0.178437265408214 | 35 | 0.83882010496356 | 0.32235979007288 | 0.16117989503644 | 36 | 0.806579333913642 | 0.386841332172716 | 0.193420666086358 | 37 | 0.78719903730022 | 0.425601925399561 | 0.212800962699781 | 38 | 0.804163772405193 | 0.391672455189614 | 0.195836227594807 | 39 | 0.819711091266946 | 0.360577817466108 | 0.180288908733054 | 40 | 0.828875979302433 | 0.342248041395133 | 0.171124020697567 | 41 | 0.837646528748285 | 0.324706942503431 | 0.162353471251715 | 42 | 0.80802826410244 | 0.383943471795119 | 0.191971735897560 | 43 | 0.776413608946314 | 0.447172782107372 | 0.223586391053686 | 44 | 0.741484599056544 | 0.517030801886912 | 0.258515400943456 | 45 | 0.704096804801437 | 0.591806390397126 | 0.295903195198563 | 46 | 0.710071774839345 | 0.57985645032131 | 0.289928225160655 | 47 | 0.710273894462872 | 0.579452211074255 | 0.289726105537128 | 48 | 0.747646163015766 | 0.504707673968467 | 0.252353836984233 | 49 | 0.7121665908708 | 0.575666818258401 | 0.287833409129200 | 50 | 0.78158252968107 | 0.43683494063786 | 0.21841747031893 | 51 | 0.753718556594752 | 0.492562886810496 | 0.246281443405248 | 52 | 0.7596743170976 | 0.4806513658048 | 0.2403256829024 | 53 | 0.759650514684304 | 0.480698970631392 | 0.240349485315696 | 54 | 0.753705836405944 | 0.492588327188113 | 0.246294163594056 | 55 | 0.820023473010302 | 0.359953053979396 | 0.179976526989698 | 56 | 0.796900687920462 | 0.406198624159076 | 0.203099312079538 | 57 | 0.821693366120838 | 0.356613267758325 | 0.178306633879162 | 58 | 0.795175981013403 | 0.409648037973194 | 0.204824018986597 | 59 | 0.797755309553936 | 0.404489380892128 | 0.202244690446064 | 60 | 0.774783263450065 | 0.450433473099871 | 0.225216736549935 | 61 | 0.779113098415562 | 0.441773803168876 | 0.220886901584438 | 62 | 0.750380522467198 | 0.499238955065605 | 0.249619477532802 | 63 | 0.752278607482056 | 0.495442785035887 | 0.247721392517944 | 64 | 0.722467919833803 | 0.555064160332394 | 0.277532080166197 | 65 | 0.761213278156825 | 0.47757344368635 | 0.238786721843175 | 66 | 0.732168256889954 | 0.535663486220093 | 0.267831743110046 | 67 | 0.702723097991694 | 0.594553804016612 | 0.297276902008306 | 68 | 0.671915103508881 | 0.656169792982237 | 0.328084896491119 | 69 | 0.709045530002693 | 0.581908939994614 | 0.290954469997307 | 70 | 0.680476280439325 | 0.63904743912135 | 0.319523719560675 | 71 | 0.673536566389753 | 0.652926867220494 | 0.326463433610247 | 72 | 0.672675170782411 | 0.654649658435177 | 0.327324829217589 | 73 | 0.641708173684805 | 0.71658365263039 | 0.358291826315195 | 74 | 0.610345142071945 | 0.77930971585611 | 0.389654857928055 | 75 | 0.599046609505855 | 0.80190678098829 | 0.400953390494145 | 76 | 0.59950539134016 | 0.80098921731968 | 0.40049460865984 | 77 | 0.566069575544656 | 0.867860848910688 | 0.433930424455344 | 78 | 0.56814419295936 | 0.86371161408128 | 0.43185580704064 | 79 | 0.534997388900765 | 0.93000522219847 | 0.465002611099235 | 80 | 0.501746866927718 | 0.996506266144564 | 0.498253133072282 | 81 | 0.487930253454147 | 0.975860506908294 | 0.512069746545853 | 82 | 0.500636718593125 | 0.99872656281375 | 0.499363281406875 | 83 | 0.467615858470992 | 0.935231716941984 | 0.532384141529008 | 84 | 0.435250601299913 | 0.870501202599826 | 0.564749398700087 | 85 | 0.428485653444405 | 0.85697130688881 | 0.571514346555595 | 86 | 0.397351375938673 | 0.794702751877346 | 0.602648624061327 | 87 | 0.444690980467295 | 0.889381960934591 | 0.555309019532705 | 88 | 0.501921756007226 | 0.996156487985548 | 0.498078243992774 | 89 | 0.470315838720556 | 0.940631677441112 | 0.529684161279444 | 90 | 0.464154522235379 | 0.928309044470758 | 0.535845477764621 | 91 | 0.433263187893571 | 0.866526375787142 | 0.566736812106429 | 92 | 0.487486912980785 | 0.97497382596157 | 0.512513087019215 | 93 | 0.457968038932091 | 0.915936077864183 | 0.542031961067909 | 94 | 0.493760573670594 | 0.987521147341187 | 0.506239426329407 | 95 | 0.537472254019308 | 0.925055491961383 | 0.462527745980692 | 96 | 0.507124130280296 | 0.985751739439408 | 0.492875869719704 | 97 | 0.509270353575913 | 0.981459292848175 | 0.490729646424087 | 98 | 0.479189789869638 | 0.958379579739276 | 0.520810210130362 | 99 | 0.449802303966909 | 0.899604607933817 | 0.550197696033091 | 100 | 0.420749207974084 | 0.841498415948168 | 0.579250792025916 | 101 | 0.463456394765891 | 0.926912789531781 | 0.536543605234109 | 102 | 0.463618251918915 | 0.92723650383783 | 0.536381748081085 | 103 | 0.434212683477096 | 0.868425366954193 | 0.565787316522904 | 104 | 0.405742475432695 | 0.81148495086539 | 0.594257524567305 | 105 | 0.377745943779696 | 0.755491887559392 | 0.622254056220304 | 106 | 0.511952956266251 | 0.976094087467497 | 0.488047043733749 | 107 | 0.503764476415977 | 0.992471047168046 | 0.496235523584023 | 108 | 0.478694474628392 | 0.957388949256784 | 0.521305525371608 | 109 | 0.453346234025751 | 0.906692468051502 | 0.546653765974249 | 110 | 0.496574353126205 | 0.99314870625241 | 0.503425646873795 | 111 | 0.49575442074314 | 0.99150884148628 | 0.50424557925686 | 112 | 0.46755574343875 | 0.9351114868775 | 0.53244425656125 | 113 | 0.439599147234251 | 0.879198294468502 | 0.560400852765749 | 114 | 0.412024814161703 | 0.824049628323406 | 0.587975185838297 | 115 | 0.415455072940994 | 0.830910145881989 | 0.584544927059006 | 116 | 0.43427080323372 | 0.86854160646744 | 0.56572919676628 | 117 | 0.407383278945482 | 0.814766557890964 | 0.592616721054518 | 118 | 0.380853675809763 | 0.761707351619526 | 0.619146324190237 | 119 | 0.375389318792982 | 0.750778637585965 | 0.624610681207018 | 120 | 0.409306583376377 | 0.818613166752754 | 0.590693416623623 | 121 | 0.443160229681017 | 0.886320459362035 | 0.556839770318983 | 122 | 0.417624948551389 | 0.835249897102778 | 0.582375051448611 | 123 | 0.392452726630913 | 0.784905453261825 | 0.607547273369087 | 124 | 0.417984950733194 | 0.835969901466388 | 0.582015049266806 | 125 | 0.391943992451179 | 0.783887984902358 | 0.608056007548821 | 126 | 0.385436249607089 | 0.770872499214178 | 0.614563750392911 | 127 | 0.388306091159288 | 0.776612182318576 | 0.611693908840712 | 128 | 0.363120774628581 | 0.726241549257162 | 0.636879225371419 | 129 | 0.365124686141268 | 0.730249372282537 | 0.634875313858732 | 130 | 0.34087296389472 | 0.68174592778944 | 0.65912703610528 | 131 | 0.317736225088671 | 0.635472450177341 | 0.682263774911329 | 132 | 0.294625321105766 | 0.589250642211532 | 0.705374678894234 | 133 | 0.291335706055712 | 0.582671412111425 | 0.708664293944288 | 134 | 0.321126006098958 | 0.642252012197916 | 0.678873993901042 | 135 | 0.299501021912346 | 0.599002043824691 | 0.700498978087654 | 136 | 0.308454339650585 | 0.61690867930117 | 0.691545660349415 | 137 | 0.340200734820796 | 0.680401469641591 | 0.659799265179204 | 138 | 0.318279483693053 | 0.636558967386106 | 0.681720516306947 | 139 | 0.316865965441760 | 0.633731930883521 | 0.68313403455824 | 140 | 0.294491832610540 | 0.588983665221081 | 0.70550816738946 | 141 | 0.335354093596962 | 0.670708187193924 | 0.664645906403038 | 142 | 0.312575465868115 | 0.625150931736229 | 0.687424534131885 | 143 | 0.314050190000129 | 0.628100380000257 | 0.685949809999871 | 144 | 0.348242467872060 | 0.696484935744119 | 0.65175753212794 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0.330863448707278 | 0.661726897414557 | 0.669136551292722 | 161 | 0.309688096953308 | 0.619376193906616 | 0.690311903046692 | 162 | 0.289368363824193 | 0.578736727648386 | 0.710631636175807 | 163 | 0.292252268845548 | 0.584504537691095 | 0.707747731154452 | 164 | 0.272177388583675 | 0.54435477716735 | 0.727822611416325 | 165 | 0.305996388758488 | 0.611992777516977 | 0.694003611241512 | 166 | 0.335172876185472 | 0.670345752370944 | 0.664827123814528 | 167 | 0.332327630549461 | 0.664655261098922 | 0.667672369450539 | 168 | 0.311316565703972 | 0.622633131407943 | 0.688683434296028 | 169 | 0.291114280960730 | 0.582228561921459 | 0.70888571903927 | 170 | 0.398970614134178 | 0.797941228268356 | 0.601029385865822 | 171 | 0.433742763630465 | 0.867485527260931 | 0.566257236369535 | 172 | 0.433460842107030 | 0.866921684214061 | 0.566539157892969 | 173 | 0.433165624541517 | 0.866331249083034 | 0.566834375458483 | 174 | 0.43113760653476 | 0.86227521306952 | 0.56886239346524 | 175 | 0.429490932780044 | 0.858981865560088 | 0.570509067219956 | 176 | 0.431654845651847 | 0.863309691303693 | 0.568345154348153 | 177 | 0.409215884893781 | 0.818431769787563 | 0.590784115106219 | 178 | 0.439643819699355 | 0.87928763939871 | 0.560356180300645 | 179 | 0.417636158583121 | 0.835272317166241 | 0.582363841416879 | 180 | 0.414357995352221 | 0.828715990704442 | 0.585642004647779 | 181 | 0.393015971477503 | 0.786031942955006 | 0.606984028522497 | 182 | 0.372006122870945 | 0.74401224574189 | 0.627993877129055 | 183 | 0.351386989725260 | 0.702773979450519 | 0.64861301027474 | 184 | 0.38759582496061 | 0.77519164992122 | 0.61240417503939 | 185 | 0.384467932540395 | 0.768935865080791 | 0.615532067459605 | 186 | 0.382540836305719 | 0.765081672611437 | 0.617459163694281 | 187 | 0.361998577323925 | 0.72399715464785 | 0.638001422676075 | 188 | 0.342127382072359 | 0.684254764144718 | 0.657872617927641 | 189 | 0.322467169529256 | 0.644934339058511 | 0.677532830470744 | 190 | 0.319605996986553 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0.505048910604726 | 0.747475544697637 | 206 | 0.25000009566139 | 0.50000019132278 | 0.74999990433861 | 207 | 0.252951905888432 | 0.505903811776864 | 0.747048094111568 | 208 | 0.236227145911804 | 0.472454291823609 | 0.763772854088196 | 209 | 0.220157431499715 | 0.44031486299943 | 0.779842568500285 | 210 | 0.24651227043033 | 0.49302454086066 | 0.75348772956967 | 211 | 0.243533679214691 | 0.487067358429382 | 0.756466320785309 | 212 | 0.240394528879139 | 0.480789057758277 | 0.759605471120861 | 213 | 0.237457103147318 | 0.474914206294637 | 0.762542896852682 | 214 | 0.221479813516565 | 0.442959627033129 | 0.778520186483435 | 215 | 0.206008679771030 | 0.412017359542059 | 0.79399132022897 | 216 | 0.202286586104425 | 0.404573172208851 | 0.797713413895575 | 217 | 0.188034932906672 | 0.376069865813345 | 0.811965067093328 | 218 | 0.184299441610928 | 0.368598883221856 | 0.815700558389072 | 219 | 0.170851618527792 | 0.341703237055584 | 0.829148381472208 | 220 | 0.196337002933092 | 0.392674005866184 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0.859100746113906 | 236 | 0.164060691381023 | 0.328121382762045 | 0.835939308618977 | 237 | 0.161829262863953 | 0.323658525727906 | 0.838170737136047 | 238 | 0.160620117133186 | 0.321240234266372 | 0.839379882866814 | 239 | 0.148814330187390 | 0.297628660374780 | 0.85118566981261 | 240 | 0.146131630659625 | 0.292263261319250 | 0.853868369340375 | 241 | 0.171856510359347 | 0.343713020718695 | 0.828143489640653 | 242 | 0.170470520759858 | 0.340941041519715 | 0.829529479240142 | 243 | 0.158135150493452 | 0.316270300986905 | 0.841864849506548 | 244 | 0.155101626867775 | 0.31020325373555 | 0.844898373132225 | 245 | 0.152380428952152 | 0.304760857904304 | 0.847619571047848 | 246 | 0.140980289633483 | 0.281960579266966 | 0.859019710366517 | 247 | 0.139483883578052 | 0.278967767156103 | 0.860516116421948 | 248 | 0.129047360241908 | 0.258094720483816 | 0.870952639758092 | 249 | 0.126568159644891 | 0.253136319289782 | 0.873431840355109 | 250 | 0.140691511045606 | 0.281383022091213 | 0.859308488954393 | 251 | 0.129970151224501 | 0.259940302449003 | 0.870029848775499 | 252 | 0.11993773401424 | 0.23987546802848 | 0.88006226598576 | 253 | 0.11842380377627 | 0.23684760755254 | 0.88157619622373 | 254 | 0.108994577051617 | 0.217989154103233 | 0.891005422948383 | 255 | 0.127742532377006 | 0.255485064754012 | 0.872257467622994 | 256 | 0.117732980574142 | 0.235465961148284 | 0.882267019425858 | 257 | 0.136256383167180 | 0.272512766334360 | 0.86374361683282 | 258 | 0.125849843860110 | 0.251699687720221 | 0.87415015613989 | 259 | 0.116088206569000 | 0.232176413138000 | 0.883911793431 | 260 | 0.136740240466695 | 0.273480480933391 | 0.863259759533305 | 261 | 0.126591294161756 | 0.253182588323512 | 0.873408705838244 | 262 | 0.147883134946760 | 0.295766269893521 | 0.85211686505324 | 263 | 0.146028199082917 | 0.292056398165833 | 0.853971800917083 | 264 | 0.135262309835242 | 0.270524619670483 | 0.864737690164758 | 265 | 0.159515776585046 | 0.319031553170092 | 0.840484223414954 | 266 | 0.181808572566406 | 0.363617145132813 | 0.818191427433594 | 267 | 0.178149572239999 | 0.356299144479998 | 0.82185042776 | 268 | 0.174387626707899 | 0.348775253415798 | 0.825612373292101 | 269 | 0.174485258802929 | 0.348970517605858 | 0.825514741197071 | 270 | 0.174855784221842 | 0.349711568443684 | 0.825144215778158 | 271 | 0.162560734305253 | 0.325121468610506 | 0.837439265694747 | 272 | 0.182006263407574 | 0.364012526815147 | 0.817993736592426 | 273 | 0.16957628125969 | 0.33915256251938 | 0.83042371874031 | 274 | 0.189420650274495 | 0.37884130054899 | 0.810579349725505 | 275 | 0.212782873227353 | 0.425565746454706 | 0.787217126772647 | 276 | 0.199650024287850 | 0.399300048575701 | 0.80034997571215 | 277 | 0.197161182736962 | 0.394322365473924 | 0.802838817263038 | 278 | 0.183989482079765 | 0.367978964159529 | 0.816010517920235 | 279 | 0.208787971580126 | 0.417575943160252 | 0.791212028419874 | 280 | 0.203715468822898 | 0.407430937645796 | 0.796284531177102 | 281 | 0.230356824384378 | 0.460713648768757 | 0.769643175615622 | 282 | 0.216872202411486 | 0.433744404822973 | 0.783127797588513 | 283 | 0.204254371998217 | 0.408508743996434 | 0.795745628001783 | 284 | 0.205013479423195 | 0.41002695884639 | 0.794986520576805 | 285 | 0.193172210896361 | 0.386344421792722 | 0.806827789103639 | 286 | 0.190169725487981 | 0.380339450975962 | 0.809830274512019 | 287 | 0.254347593423384 | 0.508695186846769 | 0.745652406576616 | 288 | 0.248220201496901 | 0.496440402993802 | 0.751779798503099 | 289 | 0.23431436046142 | 0.46862872092284 | 0.76568563953858 | 290 | 0.219944372973419 | 0.439888745946837 | 0.780055627026581 | 291 | 0.217135562908741 | 0.434271125817482 | 0.782864437091259 | 292 | 0.203901807674580 | 0.407803615349161 | 0.79609819232542 | 293 | 0.229172548615672 | 0.458345097231344 | 0.770827451384328 | 294 | 0.215105118387523 | 0.430210236775045 | 0.784894881612477 | 295 | 0.213417080391693 | 0.426834160783387 | 0.786582919608307 | 296 | 0.233000451665078 | 0.466000903330155 | 0.766999548334922 | 297 | 0.219392477763956 | 0.438784955527911 | 0.780607522236044 | 298 | 0.20569065701822 | 0.41138131403644 | 0.79430934298178 | 299 | 0.231106755546454 | 0.462213511092909 | 0.768893244453546 | 300 | 0.227416298656658 | 0.454832597313317 | 0.772583701343342 | 301 | 0.221412256296356 | 0.442824512592712 | 0.778587743703644 | 302 | 0.217664423970256 | 0.435328847940512 | 0.782335576029744 | 303 | 0.204709409707301 | 0.409418819414601 | 0.7952905902927 | 304 | 0.199900432621034 | 0.399800865242067 | 0.800099567378966 | 305 | 0.188920596197429 | 0.377841192394858 | 0.811079403802571 | 306 | 0.183233309615910 | 0.366466619231821 | 0.81676669038409 | 307 | 0.179239967451059 | 0.358479934902119 | 0.82076003254894 | 308 | 0.178919949367096 | 0.357839898734192 | 0.821080050632904 | 309 | 0.168213243488795 | 0.336426486977590 | 0.831786756511205 | 310 | 0.157040623143670 | 0.314081246287339 | 0.84295937685633 | 311 | 0.154235903581211 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0.0897614641219333 | 0.955119267939033 | 777 | 0.0415096727518647 | 0.0830193455037294 | 0.958490327248135 | 778 | 0.0572421509085797 | 0.114484301817159 | 0.94275784909142 | 779 | 0.0589885429548221 | 0.117977085909644 | 0.941011457045178 | 780 | 0.0650136344735287 | 0.130027268947057 | 0.934986365526471 | 781 | 0.0661868441160819 | 0.132373688232164 | 0.933813155883918 | 782 | 0.0615747237943193 | 0.123149447588639 | 0.93842527620568 | 783 | 0.0569864163211631 | 0.113972832642326 | 0.943013583678837 | 784 | 0.07869538154652 | 0.15739076309304 | 0.92130461845348 | 785 | 0.0733283693542695 | 0.146656738708539 | 0.92667163064573 | 786 | 0.0757815539171467 | 0.151563107834293 | 0.924218446082853 | 787 | 0.0711052531240514 | 0.142210506248103 | 0.928894746875949 | 788 | 0.066655955043956 | 0.133311910087912 | 0.933344044956044 | 789 | 0.0618736596050016 | 0.123747319210003 | 0.938126340394998 | 790 | 0.0581513072778752 | 0.116302614555750 | 0.941848692722125 | 791 | 0.0539062719802162 | 0.107812543960432 | 0.946093728019784 | 792 | 0.0500345842309689 | 0.100069168461938 | 0.949965415769031 | 793 | 0.0463867663488 | 0.0927735326976 | 0.9536132336512 | 794 | 0.0428076978939367 | 0.0856153957878733 | 0.957192302106063 | 795 | 0.0426859459573167 | 0.0853718919146334 | 0.957314054042683 | 796 | 0.0399218557825522 | 0.0798437115651043 | 0.960078144217448 | 797 | 0.0367596501053907 | 0.0735193002107815 | 0.96324034989461 | 798 | 0.0338077609512254 | 0.0676155219024509 | 0.966192239048774 | 799 | 0.0458897636110017 | 0.0917795272220035 | 0.954110236388998 | 800 | 0.0427488842323463 | 0.0854977684646925 | 0.957251115767654 | 801 | 0.049078474602849 | 0.098156949205698 | 0.95092152539715 | 802 | 0.0459746764579609 | 0.0919493529159218 | 0.954025323542039 | 803 | 0.0430349092721361 | 0.0860698185442721 | 0.956965090727864 | 804 | 0.0398948827404418 | 0.0797897654808835 | 0.960105117259558 | 805 | 0.0372810409048618 | 0.0745620818097236 | 0.962718959095138 | 806 | 0.0502908557550002 | 0.100581711510000 | 0.949709144245 | 807 | 0.0540401680711352 | 0.108080336142270 | 0.945959831928865 | 808 | 0.0596597008712803 | 0.119319401742561 | 0.94034029912872 | 809 | 0.0560195853901028 | 0.112039170780206 | 0.943980414609897 | 810 | 0.0518478141189646 | 0.103695628237929 | 0.948152185881035 | 811 | 0.048126100165465 | 0.09625220033093 | 0.951873899834535 | 812 | 0.0509612267588408 | 0.101922453517682 | 0.94903877324116 | 813 | 0.0477418993258584 | 0.0954837986517168 | 0.952258100674142 | 814 | 0.0446922819813792 | 0.0893845639627584 | 0.955307718018621 | 815 | 0.041443974528785 | 0.08288794905757 | 0.958556025471215 | 816 | 0.0387310091856579 | 0.0774620183713158 | 0.961268990814342 | 817 | 0.0361688515248011 | 0.0723377030496023 | 0.96383114847520 | 818 | 0.0334412386407242 | 0.0668824772814484 | 0.966558761359276 | 819 | 0.0337398230432769 | 0.0674796460865539 | 0.966260176956723 | 820 | 0.0336641307567423 | 0.0673282615134846 | 0.966335869243258 | 821 | 0.0458194657335693 | 0.0916389314671386 | 0.95418053426643 | 822 | 0.0421614849753101 | 0.0843229699506202 | 0.95783851502469 | 823 | 0.0388560720689956 | 0.0777121441379912 | 0.961143927931004 | 824 | 0.0412294108562272 | 0.0824588217124543 | 0.958770589143773 | 825 | 0.0380678929457945 | 0.0761357858915889 | 0.961932107054206 | 826 | 0.0349587275062223 | 0.0699174550124447 | 0.965041272493778 | 827 | 0.0320553359748552 | 0.0641106719497105 | 0.967944664025145 | 828 | 0.0293559106136431 | 0.0587118212272861 | 0.970644089386357 | 829 | 0.0302393925443882 | 0.0604787850887764 | 0.969760607455612 | 830 | 0.0309326409892774 | 0.0618652819785547 | 0.969067359010723 | 831 | 0.0282697727459027 | 0.0565395454918054 | 0.971730227254097 | 832 | 0.0260455049492376 | 0.0520910098984753 | 0.973954495050762 | 833 | 0.027729554741187 | 0.055459109482374 | 0.972270445258813 | 834 | 0.0253451608101866 | 0.0506903216203733 | 0.974654839189813 | 835 | 0.0232334302874784 | 0.0464668605749568 | 0.976766569712522 | 836 | 0.021544075666367 | 0.043088151332734 | 0.978455924333633 | 837 | 0.0197733067302200 | 0.0395466134604399 | 0.98022669326978 | 838 | 0.0179346268741317 | 0.0358692537482634 | 0.982065373125868 | 839 | 0.0162623923529857 | 0.0325247847059713 | 0.983737607647014 | 840 | 0.0149384811253129 | 0.0298769622506259 | 0.985061518874687 | 841 | 0.0168166607805063 | 0.0336333215610126 | 0.983183339219494 | 842 | 0.0192608032486484 | 0.0385216064972967 | 0.980739196751352 | 843 | 0.0176742770065052 | 0.0353485540130104 | 0.982325722993495 | 844 | 0.0162017805907367 | 0.0324035611814734 | 0.983798219409263 | 845 | 0.0147277442502812 | 0.0294554885005625 | 0.985272255749719 | 846 | 0.0154186415842656 | 0.0308372831685312 | 0.984581358415734 | 847 | 0.0140902251962480 | 0.0281804503924961 | 0.985909774803752 | 848 | 0.0128623276824028 | 0.0257246553648057 | 0.987137672317597 | 849 | 0.0115875224015211 | 0.0231750448030421 | 0.988412477598479 | 850 | 0.0104861223029937 | 0.0209722446059874 | 0.989513877697006 | 851 | 0.0095383094263107 | 0.0190766188526214 | 0.99046169057369 | 852 | 0.0103882445766152 | 0.0207764891532305 | 0.989611755423385 | 853 | 0.0122496018143293 | 0.0244992036286585 | 0.98775039818567 | 854 | 0.0111611660476582 | 0.0223223320953164 | 0.988838833952342 | 855 | 0.0102729483172879 | 0.0205458966345758 | 0.989727051682712 | 856 | 0.00938975056850195 | 0.0187795011370039 | 0.990610249431498 | 857 | 0.00936181382927095 | 0.0187236276585419 | 0.990638186170729 | 858 | 0.0142944825225967 | 0.0285889650451934 | 0.985705517477403 | 859 | 0.0201332225479007 | 0.0402664450958015 | 0.9798667774521 | 860 | 0.0229276965502784 | 0.0458553931005569 | 0.977072303449722 | 861 | 0.0234879681743624 | 0.0469759363487249 | 0.976512031825638 | 862 | 0.0261476002382359 | 0.0522952004764719 | 0.973852399761764 | 863 | 0.0267839819153311 | 0.0535679638306622 | 0.973216018084669 | 864 | 0.0246379597870938 | 0.0492759195741876 | 0.975362040212906 | 865 | 0.0273897032059218 | 0.0547794064118435 | 0.972610296794078 | 866 | 0.0315695307961129 | 0.0631390615922257 | 0.968430469203887 | 867 | 0.0317011549498348 | 0.0634023098996697 | 0.968298845050165 | 868 | 0.0334060614644821 | 0.0668121229289642 | 0.966593938535518 | 869 | 0.0306307888625672 | 0.0612615777251345 | 0.969369211137433 | 870 | 0.0282281485456144 | 0.0564562970912287 | 0.971771851454386 | 871 | 0.0289578508802273 | 0.0579157017604545 | 0.971042149119773 | 872 | 0.0269309325908982 | 0.0538618651817964 | 0.973069067409102 | 873 | 0.0269536474433219 | 0.0539072948866438 | 0.973046352556678 | 874 | 0.0246353012251453 | 0.0492706024502906 | 0.975364698774855 | 875 | 0.0338350368857877 | 0.0676700737715754 | 0.966164963114212 | 876 | 0.0311149416487458 | 0.0622298832974917 | 0.968885058351254 | 877 | 0.028944629675677 | 0.057889259351354 | 0.971055370324323 | 878 | 0.0312714571572607 | 0.0625429143145215 | 0.96872854284274 | 879 | 0.0337703450726541 | 0.0675406901453081 | 0.966229654927346 | 880 | 0.0314369326241871 | 0.0628738652483741 | 0.968563067375813 | 881 | 0.0447733030943403 | 0.0895466061886805 | 0.95522669690566 | 882 | 0.0623890839649393 | 0.124778167929879 | 0.93761091603506 | 883 | 0.0585402742803896 | 0.117080548560779 | 0.94145972571961 | 884 | 0.0544223272473658 | 0.108844654494732 | 0.945577672752634 | 885 | 0.0502550377557648 | 0.100510075511530 | 0.949744962244235 | 886 | 0.0465090943954787 | 0.0930181887909574 | 0.953490905604521 | 887 | 0.0465544643346823 | 0.0931089286693645 | 0.953445535665318 | 888 | 0.0618816867778311 | 0.123763373555662 | 0.938118313222169 | 889 | 0.0574056689172946 | 0.114811337834589 | 0.942594331082705 | 890 | 0.0786674793754154 | 0.157334958750831 | 0.921332520624585 | 891 | 0.0734507764146775 | 0.146901552829355 | 0.926549223585323 | 892 | 0.068311816132714 | 0.136623632265428 | 0.931688183867286 | 893 | 0.0634590534298911 | 0.126918106859782 | 0.936540946570109 | 894 | 0.0590528143613968 | 0.118105628722794 | 0.940947185638603 | 895 | 0.0807754547780272 | 0.161550909556054 | 0.919224545221973 | 896 | 0.0829630047656173 | 0.165926009531235 | 0.917036995234383 | 897 | 0.0771840999748608 | 0.154368199949722 | 0.922815900025139 | 898 | 0.0718659694525432 | 0.143731938905086 | 0.928134030547457 | 899 | 0.0672215439323657 | 0.134443087864731 | 0.932778456067634 | 900 | 0.0700520101035431 | 0.140104020207086 | 0.929947989896457 | 901 | 0.0651023992043681 | 0.130204798408736 | 0.934897600795632 | 902 | 0.07085168919498 | 0.14170337838996 | 0.92914831080502 | 903 | 0.065846972164007 | 0.131693944328014 | 0.934153027835993 | 904 | 0.0716290936916157 | 0.143258187383231 | 0.928370906308384 | 905 | 0.0667605813885498 | 0.133521162777100 | 0.93323941861145 | 906 | 0.0924551198464626 | 0.184910239692925 | 0.907544880153537 | 907 | 0.0865032495743203 | 0.173006499148641 | 0.91349675042568 | 908 | 0.0920019062874443 | 0.184003812574889 | 0.907998093712556 | 909 | 0.0978360200321002 | 0.195672040064200 | 0.9021639799679 | 910 | 0.131728468629437 | 0.263456937258874 | 0.868271531370563 | 911 | 0.124354441220802 | 0.248708882441603 | 0.875645558779198 | 912 | 0.116913376910338 | 0.233826753820676 | 0.883086623089662 | 913 | 0.109512292034738 | 0.219024584069475 | 0.890487707965262 | 914 | 0.143601055351844 | 0.287202110703688 | 0.856398944648156 | 915 | 0.135001030618628 | 0.270002061237255 | 0.864998969381372 | 916 | 0.127085468788646 | 0.254170937577292 | 0.872914531211354 | 917 | 0.128250758892850 | 0.256501517785701 | 0.87174924110715 | 918 | 0.171055104528047 | 0.342110209056095 | 0.828944895471953 | 919 | 0.162741418051703 | 0.325482836103407 | 0.837258581948296 | 920 | 0.154160246944890 | 0.308320493889781 | 0.84583975305511 | 921 | 0.146421699157853 | 0.292843398315705 | 0.853578300842147 | 922 | 0.138963271352065 | 0.277926542704131 | 0.861036728647935 | 923 | 0.139274284698261 | 0.278548569396522 | 0.86072571530174 | 924 | 0.139766322179712 | 0.279532644359424 | 0.860233677820288 | 925 | 0.131273545043860 | 0.262547090087721 | 0.86872645495614 | 926 | 0.122896757891929 | 0.245793515783858 | 0.87710324210807 | 927 | 0.154648666698265 | 0.309297333396531 | 0.845351333301735 | 928 | 0.146030887355180 | 0.292061774710361 | 0.85396911264482 | 929 | 0.157387101031138 | 0.314774202062276 | 0.842612898968862 | 930 | 0.148672922170907 | 0.297345844341815 | 0.851327077829092 | 931 | 0.140294339033559 | 0.280588678067119 | 0.85970566096644 | 932 | 0.132971228814377 | 0.265942457628753 | 0.867028771185623 | 933 | 0.138167047602570 | 0.276334095205141 | 0.86183295239743 | 934 | 0.129189678284253 | 0.258379356568506 | 0.870810321715747 | 935 | 0.132192262626473 | 0.264384525252947 | 0.867807737373527 | 936 | 0.18841925708737 | 0.37683851417474 | 0.81158074291263 | 937 | 0.196648001790182 | 0.393296003580363 | 0.803351998209819 | 938 | 0.20912921038893 | 0.41825842077786 | 0.79087078961107 | 939 | 0.197706969238846 | 0.395413938477691 | 0.802293030761154 | 940 | 0.205834219781725 | 0.411668439563451 | 0.794165780218275 | 941 | 0.196370730647131 | 0.392741461294263 | 0.803629269352869 | 942 | 0.246531810569181 | 0.493063621138361 | 0.75346818943082 | 943 | 0.235999673950082 | 0.471999347900163 | 0.764000326049918 | 944 | 0.24777320421639 | 0.49554640843278 | 0.75222679578361 | 945 | 0.23718369878302 | 0.47436739756604 | 0.76281630121698 | 946 | 0.284918567172113 | 0.569837134344226 | 0.715081432827887 | 947 | 0.273423164961678 | 0.546846329923355 | 0.726576835038322 | 948 | 0.277845811427918 | 0.555691622855837 | 0.722154188572082 | 949 | 0.266528914569215 | 0.53305782913843 | 0.733471085430785 | 950 | 0.325760264865323 | 0.651520529730647 | 0.674239735134677 | 951 | 0.311960041726038 | 0.623920083452076 | 0.688039958273962 | 952 | 0.298424170701339 | 0.596848341402678 | 0.701575829298661 | 953 | 0.285167497627850 | 0.570334995255701 | 0.71483250237215 | 954 | 0.346487872359494 | 0.692975744718987 | 0.653512127640506 | 955 | 0.330657375292126 | 0.661314750584251 | 0.669342624707874 | 956 | 0.339351606572363 | 0.678703213144726 | 0.660648393427637 | 957 | 0.348214981295673 | 0.696429962591346 | 0.651785018704327 | 958 | 0.357289540124371 | 0.714579080248741 | 0.64271045987563 | 959 | 0.37444419319805 | 0.7488883863961 | 0.62555580680195 | 960 | 0.358997217576431 | 0.717994435152863 | 0.641002782423569 | 961 | 0.343784909713153 | 0.687569819426307 | 0.656215090286847 | 962 | 0.363187204737747 | 0.726374409475494 | 0.636812795262253 | 963 | 0.349015282325216 | 0.698030564650432 | 0.650984717674784 | 964 | 0.333921816387528 | 0.667843632775056 | 0.666078183612472 | 965 | 0.319100127853523 | 0.638200255707047 | 0.680899872146477 | 966 | 0.305187857676011 | 0.610375715352023 | 0.694812142323989 | 967 | 0.322174704821536 | 0.644349409643072 | 0.677825295178464 | 968 | 0.334322790075879 | 0.668645580151757 | 0.665677209924121 | 969 | 0.318889157688074 | 0.637778315376147 | 0.681110842311926 | 970 | 0.330429649326084 | 0.660859298652168 | 0.669570350673916 | 971 | 0.402817634741214 | 0.805635269482428 | 0.597182365258786 | 972 | 0.389201016410450 | 0.778402032820901 | 0.61079898358955 | 973 | 0.374125702681621 | 0.748251405363242 | 0.625874297318379 | 974 | 0.360843759058796 | 0.721687518117593 | 0.639156240941204 | 975 | 0.344834471850895 | 0.68966894370179 | 0.655165528149105 | 976 | 0.359809714438812 | 0.719619428877624 | 0.640190285561188 | 977 | 0.346670297202825 | 0.69334059440565 | 0.653329702797175 | 978 | 0.332199128526288 | 0.664398257052577 | 0.667800871473712 | 979 | 0.398011511931394 | 0.796023023862788 | 0.601988488068606 | 980 | 0.381229989520263 | 0.762459979040526 | 0.618770010479737 | 981 | 0.384461181073667 | 0.768922362147335 | 0.615538818926333 | 982 | 0.459020426504905 | 0.91804085300981 | 0.540979573495095 | 983 | 0.444917015122202 | 0.889834030244404 | 0.555082984877798 | 984 | 0.430915803510078 | 0.861831607020157 | 0.569084196489922 | 985 | 0.430062067071126 | 0.860124134142251 | 0.569937932928874 | 986 | 0.501702684056487 | 0.996594631887026 | 0.498297315943513 | 987 | 0.485490501596462 | 0.970981003192923 | 0.514509498403539 | 988 | 0.51346911877063 | 0.97306176245874 | 0.48653088122937 | 989 | 0.499221849559267 | 0.998443699118534 | 0.500778150440733 | 990 | 0.48501138895535 | 0.9700227779107 | 0.51498861104465 | 991 | 0.468798315823234 | 0.937596631646468 | 0.531201684176766 | 992 | 0.530726577337173 | 0.938546845325654 | 0.469273422662827 | 993 | 0.548515865440556 | 0.902968269118888 | 0.451484134559444 | 994 | 0.547429725786582 | 0.905140548426836 | 0.452570274213418 | 995 | 0.532976007099308 | 0.934047985801384 | 0.467023992900692 | 996 | 0.515997684093618 | 0.968004631812764 | 0.484002315906382 | 997 | 0.499000130306362 | 0.998000260612724 | 0.500999869693638 | 998 | 0.498243839267799 | 0.996487678535599 | 0.501756160732201 | 999 | 0.48368016909206 | 0.96736033818412 | 0.51631983090794 | 1000 | 0.483275655217395 | 0.96655131043479 | 0.516724344782605 | 1001 | 0.547028861775523 | 0.905942276448955 | 0.452971138224477 | 1002 | 0.554320235048584 | 0.891359529902833 | 0.445679764951416 | 1003 | 0.562301902510546 | 0.875396194978908 | 0.437698097489454 | 1004 | 0.640189400012462 | 0.719621199975075 | 0.359810599987538 | 1005 | 0.64164104788161 | 0.716717904236781 | 0.358358952118391 | 1006 | 0.627398020500345 | 0.74520395899931 | 0.372601979499655 | 1007 | 0.629315602524105 | 0.74136879495179 | 0.370684397475895 | 1008 | 0.633529311781044 | 0.732941376437911 | 0.366470688218956 | 1009 | 0.649292905069741 | 0.701414189860518 | 0.350707094930259 | 1010 | 0.635013132410313 | 0.729973735179374 | 0.364986867589687 | 1011 | 0.618331758733741 | 0.763336482532518 | 0.381668241266259 | 1012 | 0.635178630424905 | 0.72964273915019 | 0.364821369575095 | 1013 | 0.65947447709112 | 0.681051045817761 | 0.340525522908881 | 1014 | 0.683982811316812 | 0.632034377366375 | 0.316017188683188 | 1015 | 0.708601593976905 | 0.582796812046189 | 0.291398406023095 | 1016 | 0.692808836968134 | 0.614382326063733 | 0.307191163031866 | 1017 | 0.679309569604722 | 0.641380860790556 | 0.320690430395278 | 1018 | 0.744393818494193 | 0.511212363011614 | 0.255606181505807 | 1019 | 0.731933002505414 | 0.536133994989172 | 0.268066997494586 | 1020 | 0.717834660717087 | 0.564330678565827 | 0.282165339282913 | 1021 | 0.70339357894147 | 0.59321284211706 | 0.29660642105853 | 1022 | 0.688628225425987 | 0.622743549148025 | 0.311371774574013 | 1023 | 0.675003621175466 | 0.649992757649069 | 0.324996378824534 | 1024 | 0.675080855304857 | 0.649838289390286 | 0.324919144695143 | 1025 | 0.659738572772253 | 0.680522854455494 | 0.340261427227747 | 1026 | 0.724314660639702 | 0.551370678720596 | 0.275685339360298 | 1027 | 0.730856474549947 | 0.538287050900107 | 0.269143525450053 | 1028 | 0.71784794564132 | 0.564304108717359 | 0.282152054358679 | 1029 | 0.72204578091725 | 0.5559084381655 | 0.27795421908275 | 1030 | 0.707628541600866 | 0.584742916798269 | 0.292371458399134 | 1031 | 0.694100276545281 | 0.611799446909438 | 0.305899723454719 | 1032 | 0.678467200368856 | 0.643065599262288 | 0.321532799631144 | 1033 | 0.664403477590011 | 0.671193044819977 | 0.335596522409989 | 1034 | 0.725265380540926 | 0.549469238918149 | 0.274734619459074 | 1035 | 0.791457425931813 | 0.417085148136374 | 0.208542574068187 | 1036 | 0.848785331809913 | 0.302429336380174 | 0.151214668190087 | 1037 | 0.85503843697005 | 0.289923126059899 | 0.144961563029949 | 1038 | 0.85699303565229 | 0.286013928695421 | 0.143006964347711 | 1039 | 0.84746805348472 | 0.30506389303056 | 0.15253194651528 | 1040 | 0.849892134680963 | 0.300215730638073 | 0.150107865319037 | 1041 | 0.854184368648932 | 0.291631262702136 | 0.145815631351068 | 1042 | 0.844496623956472 | 0.311006752087057 | 0.155503376043528 | 1043 | 0.849980613431813 | 0.300038773136375 | 0.150019386568187 | 1044 | 0.855911447608189 | 0.288177104783622 | 0.144088552391811 | 1045 | 0.860099872925884 | 0.279800254148232 | 0.139900127074116 | 1046 | 0.850310089375072 | 0.299379821249857 | 0.149689910624928 | 1047 | 0.839864712922368 | 0.320270574155263 | 0.160135287077632 | 1048 | 0.845514576835666 | 0.308970846328669 | 0.154485423164334 | 1049 | 0.85580982819215 | 0.288380343615701 | 0.144190171807850 | 1050 | 0.904477229589776 | 0.191045540820447 | 0.0955227704102235 | 1051 | 0.912772550141147 | 0.174454899717706 | 0.087227449858853 | 1052 | 0.905392452893069 | 0.189215094213862 | 0.0946075471069311 | 1053 | 0.897978171697679 | 0.204043656604642 | 0.102021828302321 | 1054 | 0.890159598732414 | 0.219680802535171 | 0.109840401267585 | 1055 | 0.899657585305968 | 0.200684829388064 | 0.100342414694032 | 1056 | 0.891959806965174 | 0.216080386069653 | 0.108040193034826 | 1057 | 0.928481146108956 | 0.143037707782088 | 0.071518853891044 | 1058 | 0.933815018641847 | 0.132369962716305 | 0.0661849813581527 | 1059 | 0.939387328339328 | 0.121225343321343 | 0.0606126716606716 | 1060 | 0.9337700958111 | 0.132459808377799 | 0.0662299041888995 | 1061 | 0.937562180064525 | 0.124875639870950 | 0.0624378199354749 | 1062 | 0.941857195590155 | 0.116285608819691 | 0.0581428044098454 | 1063 | 0.936387442799542 | 0.127225114400917 | 0.0636125572004585 | 1064 | 0.930357577362581 | 0.139284845274839 | 0.0696424226374193 | 1065 | 0.956167311400278 | 0.0876653771994433 | 0.0438326885997216 | 1066 | 0.951722413277555 | 0.0965551734448908 | 0.0482775867224454 | 1067 | 0.946924632403265 | 0.106150735193470 | 0.0530753675967349 | 1068 | 0.951168017847008 | 0.0976639643059842 | 0.0488319821529921 | 1069 | 0.94602415958169 | 0.107951680836620 | 0.0539758404183099 | 1070 | 0.940669058199848 | 0.118661883600303 | 0.0593309418001516 | 1071 | 0.935289993823252 | 0.129420012353495 | 0.0647100061767476 | 1072 | 0.941166401154566 | 0.117667197690869 | 0.0588335988454344 | 1073 | 0.935796841723876 | 0.128406316552249 | 0.0642031582761244 | 1074 | 0.930062544199167 | 0.139874911601666 | 0.0699374558008328 | 1075 | 0.923951920644684 | 0.152096158710633 | 0.0760480793553164 | 1076 | 0.917106891305978 | 0.165786217388045 | 0.0828931086940224 | 1077 | 0.923961246200152 | 0.152077507599697 | 0.0760387537998483 | 1078 | 0.929099571807656 | 0.141800856384688 | 0.0709004281923438 | 1079 | 0.934548482410124 | 0.130903035179752 | 0.0654515175898762 | 1080 | 0.940928364453986 | 0.118143271092028 | 0.0590716355460142 | 1081 | 0.962754780164366 | 0.0744904396712682 | 0.0372452198356341 | 1082 | 0.966938665169158 | 0.0661226696616835 | 0.0330613348308418 | 1083 | 0.981594372573467 | 0.0368112548530660 | 0.0184056274265330 | 1084 | 0.979327932760604 | 0.0413441344787929 | 0.0206720672393964 | 1085 | 0.976688291014332 | 0.0466234179713357 | 0.0233117089856678 | 1086 | 0.973963914015149 | 0.0520721719697022 | 0.0260360859848511 | 1087 | 0.975723331049508 | 0.0485533379009835 | 0.0242766689504917 | 1088 | 0.97286656652865 | 0.0542668669426987 | 0.0271334334713494 | 1089 | 0.985052612006243 | 0.029894775987513 | 0.0149473879937565 | 1090 | 0.98311792119171 | 0.0337641576165793 | 0.0168820788082896 | 1091 | 0.984493274655978 | 0.031013450688044 | 0.015506725344022 | 1092 | 0.98587837438341 | 0.0282432512331803 | 0.0141216256165902 | 1093 | 0.984032514048093 | 0.0319349719038136 | 0.0159674859519068 | 1094 | 0.98199437170798 | 0.0360112565840411 | 0.0180056282920205 | 1095 | 0.984342875625632 | 0.0313142487487368 | 0.0156571243743684 | 1096 | 0.985886222248145 | 0.0282275555037095 | 0.0141137777518547 | 1097 | 0.98379765000188 | 0.0324046999962402 | 0.0162023499981201 | 1098 | 0.9814457124866 | 0.0371085750268004 | 0.0185542875134002 | 1099 | 0.981682428358287 | 0.0366351432834261 | 0.0183175716417130 | 1100 | 0.981988030587239 | 0.0360239388255227 | 0.0180119694127613 | 1101 | 0.98236164457389 | 0.0352767108522188 | 0.0176383554261094 | 1102 | 0.979796531849883 | 0.0404069363002336 | 0.0202034681501168 | 1103 | 0.976917440866766 | 0.0461651182664676 | 0.0230825591332338 | 1104 | 0.973695419451398 | 0.0526091610972045 | 0.0263045805486023 | 1105 | 0.970096003770253 | 0.0598079924594943 | 0.0299039962297471 | 1106 | 0.9660915437011 | 0.0678169125978008 | 0.0339084562989004 | 1107 | 0.966120514985473 | 0.0677589700290549 | 0.0338794850145275 | 1108 | 0.962160698735675 | 0.0756786025286507 | 0.0378393012643254 | 1109 | 0.95787163353168 | 0.0842567329366388 | 0.0421283664683194 | 1110 | 0.953255000935932 | 0.0934899981281354 | 0.0467449990640677 | 1111 | 0.94808572559205 | 0.103828548815899 | 0.0519142744079495 | 1112 | 0.94213042629396 | 0.115739147412081 | 0.0578695737060405 | 1113 | 0.945341792314257 | 0.109316415371486 | 0.0546582076857429 | 1114 | 0.948545851484553 | 0.102908297030894 | 0.0514541485154468 | 1115 | 0.943112383388363 | 0.113775233223275 | 0.0568876166116374 | 1116 | 0.93724394582489 | 0.125512108350219 | 0.0627560541751097 | 1117 | 0.930922505463188 | 0.138154989073624 | 0.0690774945368118 | 1118 | 0.923921388267348 | 0.152157223465305 | 0.0760786117326524 | 1119 | 0.91639344872452 | 0.167213102550962 | 0.0836065512754808 | 1120 | 0.908320216047871 | 0.183359567904258 | 0.0916797839521288 | 1121 | 0.94555339735669 | 0.108893205286621 | 0.0544466026433104 | 1122 | 0.970837496060176 | 0.0583250078796476 | 0.0291625039398238 | 1123 | 0.975049695246296 | 0.049900609507407 | 0.0249503047537035 | 1124 | 0.979031718888698 | 0.0419365622226044 | 0.0209682811113022 | 1125 | 0.981354982511646 | 0.0372900349767075 | 0.0186450174883537 | 1126 | 0.978823031620094 | 0.0423539367598116 | 0.0211769683799058 | 1127 | 0.981255883494008 | 0.0374882330119833 | 0.0187441165059917 | 1128 | 0.978719721198536 | 0.0425605576029276 | 0.0212802788014638 | 1129 | 0.97591747686805 | 0.0481650462639017 | 0.0240825231319509 | 1130 | 0.97259067780289 | 0.0548186443942211 | 0.0274093221971106 | 1131 | 0.975986666716676 | 0.0480266665666476 | 0.0240133332833238 | 1132 | 0.9879152410571 | 0.0241695178858014 | 0.0120847589429007 | 1133 | 0.986162107926904 | 0.0276757841461927 | 0.0138378920730964 | 1134 | 0.984165113744256 | 0.0316697725114887 | 0.0158348862557443 | 1135 | 0.981895712818509 | 0.0362085743629823 | 0.0181042871814912 | 1136 | 0.9794263792134 | 0.041147241573201 | 0.0205736207866005 | 1137 | 0.982605271674625 | 0.0347894566507494 | 0.0173947283253747 | 1138 | 0.98023349601798 | 0.0395330079640405 | 0.0197665039820203 | 1139 | 0.977597822651078 | 0.0448043546978434 | 0.0224021773489217 | 1140 | 0.97449128335076 | 0.0510174332984818 | 0.0255087166492409 | 1141 | 0.971091494755112 | 0.057817010489776 | 0.028908505244888 | 1142 | 0.966852975605258 | 0.0662940487894835 | 0.0331470243947417 | 1143 | 0.962101961097573 | 0.0757960778048536 | 0.0378980389024268 | 1144 | 0.956800843637537 | 0.0863983127249253 | 0.0431991563624626 | 1145 | 0.95090706490289 | 0.0981858701942215 | 0.0490929350971107 | 1146 | 0.94437793844849 | 0.111244123103019 | 0.0556220615515094 | 1147 | 0.944938944947164 | 0.110122110105672 | 0.0550610550528358 | 1148 | 0.952205270323565 | 0.0955894593528707 | 0.0477947296764354 | 1149 | 0.946393434950255 | 0.107213130099489 | 0.0536065650497445 | 1150 | 0.949034045248409 | 0.101931909503183 | 0.0509659547515915 | 1151 | 0.943101434122822 | 0.113797131754356 | 0.0568985658771778 | 1152 | 0.951458577711146 | 0.0970828445777089 | 0.0485414222888544 | 1153 | 0.945064680724329 | 0.109870638551342 | 0.0549353192756711 | 1154 | 0.951102259426702 | 0.0977954811465957 | 0.0488977405732978 | 1155 | 0.945296201155702 | 0.109407597688595 | 0.0547037988442977 | 1156 | 0.938970459355447 | 0.122059081289107 | 0.0610295406445535 | 1157 | 0.945673455068131 | 0.108653089863737 | 0.0543265449318687 | 1158 | 0.938529601667188 | 0.122940796665624 | 0.0614703983328122 | 1159 | 0.94540480439237 | 0.109190391215262 | 0.054595195607631 | 1160 | 0.946654841234755 | 0.106690317530490 | 0.0533451587652448 | 1161 | 0.940394472328472 | 0.119211055343056 | 0.0596055276715279 | 1162 | 0.933444244812424 | 0.133111510375153 | 0.0665557551875763 | 1163 | 0.963099605532823 | 0.0738007889343534 | 0.0369003944671767 | 1164 | 0.95815901772154 | 0.0836819645569209 | 0.0418409822784604 | 1165 | 0.952702035950002 | 0.0945959280999963 | 0.0472979640499982 | 1166 | 0.946793456065691 | 0.106413087868617 | 0.0532065439343087 | 1167 | 0.940203323407978 | 0.119593353184044 | 0.059796676592022 | 1168 | 0.93300163288845 | 0.133996734223098 | 0.0669983671115492 | 1169 | 0.925160888063633 | 0.149678223872734 | 0.0748391119363671 | 1170 | 0.916817416907274 | 0.166365166185452 | 0.0831825830927259 | 1171 | 0.910740241516719 | 0.178519516966563 | 0.0892597584832815 | 1172 | 0.905429672341672 | 0.189140655316656 | 0.0945703276583278 | 1173 | 0.897082950875681 | 0.205834098248637 | 0.102917049124318 | 1174 | 0.888670355081085 | 0.22265928983783 | 0.111329644918915 | 1175 | 0.880730157516506 | 0.238539684966989 | 0.119269842483495 | 1176 | 0.874359180581995 | 0.251281638836009 | 0.125640819418005 | 1177 | 0.863741792713044 | 0.272516414573911 | 0.136258207286956 | 1178 | 0.85626409443281 | 0.287471811134382 | 0.143735905567191 | 1179 | 0.862865712588204 | 0.274268574823593 | 0.137134287411796 | 1180 | 0.856289707131904 | 0.287420585736192 | 0.143710292868096 | 1181 | 0.849961090590148 | 0.300077818819705 | 0.150038909409852 | 1182 | 0.83568481833338 | 0.328630363333238 | 0.164315181666619 | 1183 | 0.833736691951629 | 0.332526616096742 | 0.166263308048371 | 1184 | 0.81842965779135 | 0.363140684417299 | 0.181570342208650 | 1185 | 0.799920638044484 | 0.400158723911031 | 0.200079361955516 | 1186 | 0.780317767495069 | 0.439364465009862 | 0.219682232504931 | 1187 | 0.759665430367655 | 0.480669139264689 | 0.240334569632345 | 1188 | 0.772735145226061 | 0.454529709547877 | 0.227264854773939 | 1189 | 0.778527482718689 | 0.442945034562622 | 0.221472517281311 | 1190 | 0.796762087608416 | 0.406475824783168 | 0.203237912391584 | 1191 | 0.869399396323841 | 0.261201207352318 | 0.130600603676159 | 1192 | 0.855668939290893 | 0.288662121418214 | 0.144331060709107 | 1193 | 0.840999240145628 | 0.318001519708744 | 0.159000759854372 | 1194 | 0.825043288640153 | 0.349913422719694 | 0.174956711359847 | 1195 | 0.808133407148643 | 0.383733185702713 | 0.191866592851357 | 1196 | 0.79029222155994 | 0.419415556880122 | 0.209707778440061 | 1197 | 0.866790346072919 | 0.266419307854162 | 0.133209653927081 | 1198 | 0.852277135784135 | 0.29544572843173 | 0.147722864215865 | 1199 | 0.856621291300065 | 0.286757417399869 | 0.143378708699934 | 1200 | 0.84116002610046 | 0.317679947799078 | 0.158839973899539 | 1201 | 0.82467225173079 | 0.350655496538421 | 0.175327748269211 | 1202 | 0.807335824574086 | 0.385328350851827 | 0.192664175425914 | 1203 | 0.78880398303988 | 0.422392033920240 | 0.211196016960120 | 1204 | 0.769776754323415 | 0.46044649135317 | 0.230223245676585 | 1205 | 0.749511735113663 | 0.500976529772674 | 0.250488264886337 | 1206 | 0.757354653110665 | 0.48529069377867 | 0.242645346889335 | 1207 | 0.738671570680659 | 0.522656858638682 | 0.261328429319341 | 1208 | 0.721375094704582 | 0.557249810590836 | 0.278624905295418 | 1209 | 0.704944712294832 | 0.590110575410336 | 0.295055287705168 | 1210 | 0.691339300470784 | 0.617321399058432 | 0.308660699529216 | 1211 | 0.664330406077581 | 0.671339187844837 | 0.335669593922419 | 1212 | 0.67885282290592 | 0.642294354188159 | 0.321147177094079 | 1213 | 0.653127873777777 | 0.693744252444446 | 0.346872126222223 | 1214 | 0.626701673642296 | 0.746596652715409 | 0.373298326357704 | 1215 | 0.599701086790303 | 0.800597826419394 | 0.400298913209697 | 1216 | 0.572263119713143 | 0.855473760573715 | 0.427736880286857 | 1217 | 0.585720740744568 | 0.828558518510864 | 0.414279259255432 | 1218 | 0.557800253357792 | 0.884399493284417 | 0.442199746642208 | 1219 | 0.530441120902467 | 0.939117758195066 | 0.469558879097533 | 1220 | 0.501693394674895 | 0.99661321065021 | 0.498306605325105 | 1221 | 0.474167657862948 | 0.948335315725895 | 0.525832342137052 | 1222 | 0.445520164271135 | 0.89104032854227 | 0.554479835728865 | 1223 | 0.418387642214865 | 0.83677528442973 | 0.581612357785135 | 1224 | 0.434442063034868 | 0.868884126069736 | 0.565557936965132 | 1225 | 0.406621765949711 | 0.813243531899421 | 0.593378234050289 | 1226 | 0.382254759283782 | 0.764509518567563 | 0.617745240716218 | 1227 | 0.354886656943081 | 0.709773313886162 | 0.645113343056919 | 1228 | 0.378096371740981 | 0.756192743481961 | 0.62190362825902 | 1229 | 0.496224247679917 | 0.992448495359834 | 0.503775752320083 | 1230 | 0.466748265287514 | 0.933496530575027 | 0.533251734712486 | 1231 | 0.50999496088844 | 0.98001007822312 | 0.49000503911156 | 1232 | 0.545236577837207 | 0.909526844325586 | 0.454763422162793 | 1233 | 0.67975882880876 | 0.64048234238248 | 0.32024117119124 | 1234 | 0.803783235776135 | 0.39243352844773 | 0.196216764223865 | 1235 | 0.780013924396224 | 0.439972151207551 | 0.219986075603776 | 1236 | 0.754080486255109 | 0.491839027489782 | 0.245919513744891 | 1237 | 0.86690172942825 | 0.266196541143501 | 0.133098270571751 | 1238 | 0.847338013236662 | 0.305323973526677 | 0.152661986763338 | 1239 | 0.933209003701485 | 0.133581992597030 | 0.0667909962985151 | 1240 | 0.92057500030176 | 0.158849999396479 | 0.0794249996982397 | 1241 | 0.968263741795476 | 0.0634725164090487 | 0.0317362582045244 | 1242 | 0.960659141788426 | 0.0786817164231486 | 0.0393408582115743 | 1243 | 0.951779881221659 | 0.0964402375566829 | 0.0482201187783414 | 1244 | 0.941316861195339 | 0.117366277609323 | 0.0586831388046613 | 1245 | 0.947239031958563 | 0.105521936082873 | 0.0527609680414366 | 1246 | 0.93584350489286 | 0.128312990214278 | 0.0641564951071392 | 1247 | 0.922194106736274 | 0.155611786527453 | 0.0778058932637264 | 1248 | 0.938194125729083 | 0.123611748541833 | 0.0618058742709166 | 1249 | 0.92563394573704 | 0.148732108525919 | 0.0743660542629597 | 1250 | 0.910253873678862 | 0.179492252642275 | 0.0897461263211376 | 1251 | 0.89253020529622 | 0.21493958940756 | 0.10746979470378 | 1252 | 0.873477824736333 | 0.253044350527334 | 0.126522175263667 | 1253 | 0.853015648948322 | 0.293968702103356 | 0.146984351051678 | 1254 | 0.827740722468593 | 0.344518555062813 | 0.172259277531407 | 1255 | 0.93541124834466 | 0.129177503310680 | 0.0645887516553402 | 1256 | 0.920429518425762 | 0.159140963148476 | 0.0795704815742378 | 1257 | 0.987826066811762 | 0.0243478663764758 | 0.0121739331882379 | 1258 | 0.994591976212358 | 0.0108160475752843 | 0.00540802378764213 | 1259 | 0.998077779975824 | 0.00384444004835299 | 0.00192222002417650 | 1260 | 0.997341832185147 | 0.0053163356297057 | 0.00265816781485285 | 1261 | 0.998919752972838 | 0.00216049405432345 | 0.00108024702716172 | 1262 | 0.999176797769638 | 0.00164640446072422 | 0.00082320223036211 | 1263 | 0.99888526043601 | 0.00222947912797831 | 0.00111473956398916 | 1264 | 0.998470360981852 | 0.00305927803629590 | 0.00152963901814795 | 1265 | 0.997966210054983 | 0.00406757989003401 | 0.00203378994501700 | 1266 | 0.997033491115199 | 0.00593301776960274 | 0.00296650888480137 | 1267 | 0.99651892279994 | 0.00696215440011897 | 0.00348107720005948 | 1268 | 0.994894195463402 | 0.0102116090731953 | 0.00510580453659766 | 1269 | 0.992522604612713 | 0.0149547907745737 | 0.00747739538728686 | 1270 | 0.989526958798633 | 0.0209460824027337 | 0.0104730412013669 | 1271 | 0.98515988958491 | 0.0296802208301776 | 0.0148401104150888 | 1272 | 0.979250171964151 | 0.0414996560716976 | 0.0207498280358488 | 1273 | 0.973279395634408 | 0.0534412087311848 | 0.0267206043655924 | 1274 | 0.97143657761552 | 0.0571268447689583 | 0.0285634223844791 | 1275 | 0.960369944666223 | 0.0792601106675542 | 0.0396300553337771 | 1276 | 0.94668260355884 | 0.106634792882322 | 0.0533173964411611 | 1277 | 0.964494849103714 | 0.0710103017925716 | 0.0355051508962858 | 1278 | 0.998958856974544 | 0.00208228605091287 | 0.00104114302545644 | 1279 | 0.99818881807456 | 0.00362236385088238 | 0.00181118192544119 | 1280 | 0.999605988832133 | 0.000788022335733548 | 0.000394011167866774 | 1281 | 0.999258904380133 | 0.00148219123973388 | 0.000741095619866942 | 1282 | 0.99863445695515 | 0.00273108608970199 | 0.00136554304485099 | 1283 | 0.997557354805173 | 0.00488529038965292 | 0.00244264519482646 | 1284 | 0.99573289437904 | 0.00853421124191977 | 0.00426710562095988 | 1285 | 0.992730819543533 | 0.0145383609129337 | 0.00726918045646685 | 1286 | 0.988075434830801 | 0.0238491303383979 | 0.0119245651691989 | 1287 | 0.989119317001267 | 0.0217613659974658 | 0.0108806829987329 | 1288 | 0.98450836059321 | 0.0309832788135798 | 0.0154916394067899 | 1289 | 0.9740322559201 | 0.0519354881597983 | 0.0259677440798991 | 1290 | 0.957123396108903 | 0.0857532077821947 | 0.0428766038910974 | 1291 | 0.977615799557428 | 0.0447684008851439 | 0.0223842004425720 | 1292 | 0.9607086190152 | 0.0785827619695988 | 0.0392913809847994 | 1293 | 0.933543851607572 | 0.132912296784856 | 0.0664561483924278 | 1294 | 0.891982011195193 | 0.216035977609615 | 0.108017988804807 | 1295 | 0.830830674541302 | 0.338338650917396 | 0.169169325458698 | 1296 | 0.74665169213928 | 0.506696615721441 | 0.253348307860721 | 1297 | 0.638276057549959 | 0.723447884900083 | 0.361723942450041 | 1298 | 0.510458382235473 | 0.979083235529053 | 0.489541617764527 | 1299 | 0.370653581246138 | 0.741307162492275 | 0.629346418753862 | 1300 | 0.233561667696179 | 0.467123335392358 | 0.766438332303821 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | Description | # significant tests | % significant tests | OK/NOK | 1% type I error level | 176 | 0.136222910216718 | NOK | 5% type I error level | 390 | 0.301857585139319 | NOK | 10% type I error level | 567 | 0.438854489164087 | NOK |
| | Charts produced by software: | | http://www.freestatistics.org/blog/date/2010/Dec/02/t1291277885h50mxz8ftfobp76/10kycc1291277375.png (open in new window) | http://www.freestatistics.org/blog/date/2010/Dec/02/t1291277885h50mxz8ftfobp76/10kycc1291277375.ps (open in new window) |
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| http://www.freestatistics.org/blog/date/2010/Dec/02/t1291277885h50mxz8ftfobp76/9kycc1291277375.png (open in new window) | http://www.freestatistics.org/blog/date/2010/Dec/02/t1291277885h50mxz8ftfobp76/9kycc1291277375.ps (open in new window) |
| | Parameters (Session): | par1 = 1 ; par2 = Do not include Seasonal Dummies ; par3 = No Linear Trend ; | | Parameters (R input): | par1 = 1 ; 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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