| mini-tutorial, Mini-tutorial 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 18:37:56 +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/t1291315077271yech5drtxx9s.htm/, Retrieved Thu, 02 Dec 2010 19:37:57 +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/t1291315077271yech5drtxx9s.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] = + 0.145019265778679 -0.164514500634956pclass[t] + 0.507183007206067sex[t] -0.0273936121732979age[t] -0.0379358287916375sibsp[t] + 0.00381938386368818parch[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) | 0.145019265778679 | 0.05586 | 2.5961 | 0.009535 | 0.004767 | pclass | -0.164514500634956 | 0.014294 | -11.5092 | 0 | 0 | sex | 0.507183007206067 | 0.023398 | 21.6768 | 0 | 0 | age | -0.0273936121732979 | 0.007168 | -3.8214 | 0.000139 | 6.9e-05 | sibsp | -0.0379358287916375 | 0.011315 | -3.3527 | 0.000823 | 0.000412 | parch | 0.00381938386368818 | 0.013733 | 0.2781 | 0.780973 | 0.390487 |
Multiple Linear Regression - Regression Statistics | Multiple R | 0.594259390098298 | R-squared | 0.353144222720001 | Adjusted R-squared | 0.350662043989072 | F-TEST (value) | 142.271875235948 | F-TEST (DF numerator) | 5 | F-TEST (DF denominator) | 1303 | p-value | 0 | Multiple Linear Regression - Residual Statistics | Residual Standard Deviation | 0.391670590273314 | Sum Squared Residuals | 199.887824224415 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error | 1 | 1 | 0.940083555209263 | 0.0599164447907371 | 2 | 1 | 0.457390711285529 | 0.542609288714471 | 3 | 0 | 0.964573718491596 | -0.964573718491596 | 4 | 0 | 0.375209874765636 | -0.375209874765636 | 5 | 0 | 0.909786494145 | -0.909786494145 | 6 | 1 | 0.378113323656599 | 0.621886676343401 | 7 | 1 | 0.792573277724432 | 0.207426722275568 | 8 | 0 | 0.405506935829897 | -0.405506935829897 | 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 | 0.940083555209261 | 0.0599164447907387 | 14 | 1 | 0.940083555209261 | 0.0599164447907387 | 15 | 1 | 0.268538874963407 | 0.731461125036593 | 16 | 0 | 0.48768777234979 | -0.48768777234979 | 17 | 0 | 0.436719931866883 | -0.436719931866883 | 18 | 1 | 0.861722102553056 | 0.138277897446944 | 19 | 1 | 0.912689943035963 | 0.0873100569640366 | 20 | 0 | 0.405506935829897 | -0.405506935829897 | 21 | 1 | 0.371390490901948 | 0.628609509098052 | 22 | 1 | 0.851179885934716 | 0.148820114065284 | 23 | 1 | 0.432900548003195 | 0.567099451996805 | 24 | 1 | 0.885296330862665 | 0.114703669137335 | 25 | 1 | 0.940083555209261 | 0.0599164447907387 | 26 | 0 | 0.432900548003194 | -0.432900548003194 | 27 | 1 | 0.394964719211557 | 0.605035280788443 | 28 | 1 | 0.929541338590922 | 0.0704586614090782 | 29 | 1 | 0.912689943035963 | 0.0873100569640366 | 30 | 1 | 0.432900548003195 | 0.567099451996805 | 31 | 0 | 0.378113323656599 | -0.378113323656599 | 32 | 1 | 0.378113323656599 | 0.621886676343401 | 33 | 1 | 0.912689943035963 | 0.0873100569640366 | 34 | 1 | 0.857902718689368 | 0.142097281310632 | 35 | 0 | 0.378113323656599 | -0.378113323656599 | 36 | 1 | 0.885296330862665 | 0.114703669137335 | 37 | 1 | 0.94390293907295 | 0.0560970609270505 | 38 | 1 | 0.48768777234979 | 0.51231222765021 | 39 | 0 | 0.378113323656599 | -0.378113323656599 | 40 | 0 | 0.378113323656599 | -0.378113323656599 | 41 | 0 | 0.48768777234979 | -0.48768777234979 | 42 | 1 | 0.885296330862665 | 0.114703669137335 | 43 | 1 | 0.782031061106093 | 0.217968938893907 | 44 | 1 | 0.83050910651607 | 0.169490893483930 | 45 | 1 | 0.885296330862665 | 0.114703669137335 | 46 | 0 | 0.378113323656599 | -0.378113323656599 | 47 | 0 | 0.48768777234979 | -0.48768777234979 | 48 | 1 | 0.378113323656599 | 0.621886676343401 | 49 | 1 | 0.857902718689368 | 0.142097281310632 | 50 | 1 | 0.409326319693585 | 0.590673680306415 | 51 | 1 | 0.861722102553056 | 0.138277897446944 | 52 | 0 | 0.405506935829897 | -0.405506935829897 | 53 | 0 | 0.432900548003194 | -0.432900548003194 | 54 | 0 | 0.460294160176493 | -0.460294160176493 | 55 | 1 | 0.429997099112231 | 0.570002900887769 | 56 | 1 | 0.937180106318298 | 0.0628198936817019 | 57 | 1 | 0.375209874765636 | 0.624790125234364 | 58 | 1 | 0.882392881971702 | 0.117607118028298 | 59 | 0 | 0.378113323656599 | -0.378113323656599 | 60 | 1 | 0.994870779555857 | 0.00512922044414286 | 61 | 0 | 0.367571107038259 | -0.367571107038259 | 62 | 1 | 0.765179665551134 | 0.234820334448866 | 63 | 0 | 0.340177494864961 | -0.340177494864961 | 64 | 1 | 0.847360502071028 | 0.152639497928972 | 65 | 1 | 0.394964719211557 | 0.605035280788443 | 66 | 1 | 0.874754114244326 | 0.125245885755674 | 67 | 1 | 0.912689943035963 | 0.0873100569640366 | 68 | 1 | 0.912689943035963 | 0.0873100569640366 | 69 | 1 | 0.378113323656599 | 0.621886676343401 | 70 | 1 | 0.998690163419545 | 0.00130983658045468 | 71 | 0 | 0.48768777234979 | -0.48768777234979 | 72 | 0 | 0.394964719211557 | -0.394964719211557 | 73 | 1 | 0.902147726417624 | 0.0978522735823762 | 74 | 1 | 0.940083555209261 | 0.0599164447907387 | 75 | 0 | 0.48768777234979 | -0.48768777234979 | 76 | 0 | 0.378113323656599 | -0.378113323656599 | 77 | 1 | 0.878573498108014 | 0.121426501891986 | 78 | 0 | 0.371390490901947 | -0.371390490901947 | 79 | 1 | 0.838147874243446 | 0.161852125756554 | 80 | 1 | 0.782031061106093 | 0.217968938893907 | 81 | 0 | 0.48768777234979 | -0.48768777234979 | 82 | 0 | 0.261816042208756 | -0.261816042208756 | 83 | 1 | 0.92032871076334 | 0.0796712892366603 | 84 | 1 | 0.79639266158812 | 0.203607338411880 | 85 | 0 | 0.367571107038259 | -0.367571107038259 | 86 | 1 | 0.874754114244326 | 0.125245885755674 | 87 | 1 | 0.350719711483301 | 0.649280288516699 | 88 | 1 | 0.432900548003195 | 0.567099451996805 | 89 | 1 | 0.912689943035963 | 0.0873100569640366 | 90 | 0 | 0.367571107038259 | -0.367571107038259 | 91 | 1 | 0.909786494145 | 0.0902135058549998 | 92 | 1 | 0.367571107038259 | 0.632428892961741 | 93 | 1 | 0.929541338590922 | 0.0704586614090782 | 94 | 1 | 0.316603266555352 | 0.683396733444648 | 95 | 1 | 0.495326540077167 | 0.504673459922833 | 96 | 1 | 0.823786273761418 | 0.176213726238582 | 97 | 0 | 0.312783882691663 | -0.312783882691663 | 98 | 1 | 0.905967110281312 | 0.094032889718688 | 99 | 1 | 0.847360502071028 | 0.152639497928972 | 100 | 1 | 0.847360502071028 | 0.152639497928972 | 101 | 1 | 0.340177494864961 | 0.659822505135039 | 102 | 0 | 0.405506935829897 | -0.405506935829897 | 103 | 1 | 0.94390293907295 | 0.0560970609270505 | 104 | 1 | 0.912689943035963 | 0.0873100569640366 | 105 | 1 | 0.81996688989773 | 0.18003311010227 | 106 | 0 | 0.912689943035963 | -0.912689943035963 | 107 | 0 | 0.48768777234979 | -0.48768777234979 | 108 | 1 | 0.994870779555857 | 0.00512922044414286 | 109 | 1 | 0.994870779555857 | 0.00512922044414286 | 110 | 1 | 0.405506935829897 | 0.594493064170103 | 111 | 0 | 0.405506935829897 | -0.405506935829897 | 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 | 0.300667805973118 | -0.300667805973118 | 117 | 1 | 0.807850813179185 | 0.192149186820815 | 118 | 1 | 0.912689943035963 | 0.0873100569640366 | 119 | 0 | 0.48768777234979 | -0.48768777234979 | 120 | 1 | 0.274848053900026 | 0.725151946099974 | 121 | 1 | 0.340177494864961 | 0.659822505135039 | 122 | 1 | 0.95693495076422 | 0.0430650492357803 | 123 | 1 | 0.947722322936638 | 0.0522776770633624 | 124 | 1 | 0.289209654382054 | 0.710790345617946 | 125 | 1 | 0.851179885934716 | 0.148820114065284 | 126 | 0 | 0.48768777234979 | -0.48768777234979 | 127 | 0 | 0.367571107038259 | -0.367571107038259 | 128 | 1 | 0.874754114244326 | 0.125245885755674 | 129 | 0 | 0.378113323656599 | -0.378113323656599 | 130 | 1 | 0.912689943035963 | 0.0873100569640366 | 131 | 1 | 0.94390293907295 | 0.0560970609270505 | 132 | 1 | 0.889115714726354 | 0.110884285273646 | 133 | 0 | 0.432900548003194 | -0.432900548003194 | 134 | 1 | 0.340177494864961 | 0.659822505135039 | 135 | 1 | 0.95693495076422 | 0.0430650492357803 | 136 | 0 | 0.295932487136705 | -0.295932487136705 | 137 | 1 | 0.350719711483301 | 0.649280288516699 | 138 | 1 | 0.96747716738256 | 0.0325228326174408 | 139 | 0 | 0.409326319693585 | -0.409326319693585 | 140 | 1 | 0.861722102553056 | 0.138277897446944 | 141 | 1 | 0.436719931866883 | 0.563280068133117 | 142 | 1 | 0.889115714726354 | 0.110884285273646 | 143 | 0 | 0.378113323656599 | -0.378113323656599 | 144 | 1 | 0.394964719211557 | 0.605035280788443 | 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 | 0.378113323656599 | -0.378113323656599 | 152 | 1 | 0.432900548003195 | 0.567099451996805 | 153 | 1 | 0.48768777234979 | 0.51231222765021 | 154 | 1 | 0.940083555209261 | 0.0599164447907387 | 155 | 0 | 0.316603266555352 | -0.316603266555352 | 156 | 1 | 0.823786273761418 | 0.176213726238582 | 157 | 0 | 0.378113323656599 | -0.378113323656599 | 158 | 0 | 0.48768777234979 | -0.48768777234979 | 159 | 0 | 0.350719711483301 | -0.350719711483301 | 160 | 1 | 0.971296551246247 | 0.0287034487537526 | 161 | 1 | 0.889115714726354 | 0.110884285273646 | 162 | 1 | 0.81996688989773 | 0.18003311010227 | 163 | 0 | 0.340177494864961 | -0.340177494864961 | 164 | 1 | 0.874754114244326 | 0.125245885755674 | 165 | 1 | 0.405506935829897 | 0.594493064170103 | 166 | 1 | 0.367571107038259 | 0.632428892961741 | 167 | 0 | 0.48768777234979 | -0.48768777234979 | 168 | 1 | 0.874754114244326 | 0.125245885755674 | 169 | 1 | 0.912689943035963 | 0.0873100569640366 | 170 | 0 | 0.857902718689368 | -0.857902718689368 | 171 | 1 | 0.378113323656599 | 0.621886676343401 | 172 | 0 | 0.378113323656599 | -0.378113323656599 | 173 | 0 | 0.350719711483301 | -0.350719711483301 | 174 | 0 | 0.405506935829897 | -0.405506935829897 | 175 | 0 | 0.350719711483301 | -0.350719711483301 | 176 | 0 | 0.340177494864961 | -0.340177494864961 | 177 | 1 | 0.95693495076422 | 0.0430650492357803 | 178 | 1 | 0.340177494864961 | 0.659822505135039 | 179 | 1 | 0.847360502071028 | 0.152639497928972 | 180 | 0 | 0.48768777234979 | -0.48768777234979 | 181 | 1 | 0.912689943035963 | 0.0873100569640366 | 182 | 1 | 0.885296330862665 | 0.114703669137335 | 183 | 1 | 0.912689943035963 | 0.0873100569640366 | 184 | 1 | 0.405506935829897 | 0.594493064170103 | 185 | 0 | 0.48768777234979 | -0.48768777234979 | 186 | 0 | 0.378113323656599 | -0.378113323656599 | 187 | 1 | 0.857902718689368 | 0.142097281310632 | 188 | 1 | 0.971296551246247 | 0.0287034487537526 | 189 | 1 | 0.861722102553056 | 0.138277897446944 | 190 | 0 | 0.432900548003194 | -0.432900548003194 | 191 | 1 | 0.940083555209261 | 0.0599164447907387 | 192 | 0 | 0.405506935829897 | -0.405506935829897 | 193 | 1 | 0.857902718689368 | 0.142097281310632 | 194 | 1 | 0.971296551246247 | 0.0287034487537526 | 195 | 0 | 0.405506935829897 | -0.405506935829897 | 196 | 1 | 0.96747716738256 | 0.0325228326174408 | 197 | 1 | 0.48768777234979 | 0.51231222765021 | 198 | 0 | 0.422358331384855 | -0.422358331384855 | 199 | 1 | 0.929541338590922 | 0.0704586614090782 | 200 | 1 | 0.940083555209261 | 0.0599164447907387 | 201 | 0 | 0.378113323656599 | -0.378113323656599 | 202 | 0 | 0.350719711483301 | -0.350719711483301 | 203 | 1 | 0.405506935829897 | 0.594493064170103 | 204 | 0 | 0.394964719211557 | -0.394964719211557 | 205 | 1 | 0.95693495076422 | 0.0430650492357803 | 206 | 0 | 0.323326099310003 | -0.323326099310003 | 207 | 0 | 0.302241666073324 | -0.302241666073324 | 208 | 1 | 0.874754114244326 | 0.125245885755674 | 209 | 1 | 0.874754114244326 | 0.125245885755674 | 210 | 1 | 0.367571107038259 | 0.632428892961741 | 211 | 0 | 0.350719711483301 | -0.350719711483301 | 212 | 0 | 0.378113323656599 | -0.378113323656599 | 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 | 0.0248840648900644 | 218 | 0 | 0.323326099310003 | -0.323326099310003 | 219 | 1 | 0.912689943035963 | 0.0873100569640366 | 220 | 1 | 0.48768777234979 | 0.51231222765021 | 221 | 1 | 0.94390293907295 | 0.0560970609270505 | 222 | 0 | 0.327145483173691 | -0.327145483173691 | 223 | 0 | 0.432900548003194 | -0.432900548003194 | 224 | 0 | 0.48768777234979 | -0.48768777234979 | 225 | 0 | 0.378113323656599 | -0.378113323656599 | 226 | 0 | 0.432900548003194 | -0.432900548003194 | 227 | 0 | 0.394964719211557 | -0.394964719211557 | 228 | 1 | 0.902147726417624 | 0.0978522735823762 | 229 | 0 | 0.422358331384855 | -0.422358331384855 | 230 | 1 | 0.929541338590922 | 0.0704586614090782 | 231 | 1 | 0.912689943035963 | 0.0873100569640366 | 232 | 1 | 0.350719711483301 | 0.649280288516699 | 233 | 0 | 0.378113323656599 | -0.378113323656599 | 234 | 1 | 0.861722102553056 | 0.138277897446944 | 235 | 0 | 0.405506935829897 | -0.405506935829897 | 236 | 1 | 0.48768777234979 | 0.51231222765021 | 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257 | 1 | 0.48768777234979 | 0.51231222765021 | 258 | 1 | 0.874754114244326 | 0.125245885755674 | 259 | 1 | 0.912689943035963 | 0.0873100569640366 | 260 | 1 | 0.405506935829897 | 0.594493064170103 | 261 | 1 | 0.885296330862665 | 0.114703669137335 | 262 | 1 | 0.405506935829897 | 0.594493064170103 | 263 | 0 | 0.312783882691663 | -0.312783882691663 | 264 | 1 | 0.874754114244326 | 0.125245885755674 | 265 | 1 | 0.350719711483301 | 0.649280288516699 | 266 | 1 | 0.432900548003195 | 0.567099451996805 | 267 | 0 | 0.350719711483301 | -0.350719711483301 | 268 | 0 | 0.350719711483301 | -0.350719711483301 | 269 | 0 | 0.394964719211557 | -0.394964719211557 | 270 | 0 | 0.48768777234979 | -0.48768777234979 | 271 | 1 | 0.929541338590922 | 0.0704586614090782 | 272 | 1 | 0.394964719211557 | 0.605035280788443 | 273 | 1 | 0.902147726417624 | 0.0978522735823762 | 274 | 1 | 0.495326540077167 | 0.504673459922833 | 275 | 1 | 0.343996878728650 | 0.65600312127135 | 276 | 1 | 0.851179885934716 | 0.148820114065284 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-0.518331500801116 | 1155 | 0 | 0.158658771079879 | -0.158658771079879 | 1156 | 0 | 0.158658771079879 | -0.158658771079879 | 1157 | 0 | 0.631725333357997 | -0.631725333357997 | 1158 | 0 | 0.0971487139786316 | -0.0971487139786316 | 1159 | 0 | 0.56390609732013 | -0.56390609732013 | 1160 | 1 | 0.665841778285946 | 0.334158221714054 | 1161 | 0 | 0.0216907102133892 | -0.0216907102133892 | 1162 | 0 | 0.131265158906581 | -0.131265158906581 | 1163 | 1 | 0.158658771079879 | 0.841341228920121 | 1164 | 0 | 0.158658771079879 | -0.158658771079879 | 1165 | 0 | 0.158658771079879 | -0.158658771079879 | 1166 | 0 | 0.103871546733283 | -0.103871546733283 | 1167 | 0 | 0.158658771079879 | -0.158658771079879 | 1168 | 0 | 0.158658771079879 | -0.158658771079879 | 1169 | 0 | 0.158658771079879 | -0.158658771079879 | 1170 | 0 | 0.076477934559985 | -0.076477934559985 | 1171 | 0 | -0.137189091525845 | 0.137189091525845 | 1172 | 0 | -0.164582703699142 | 0.164582703699142 | 1173 | 0 | 0.369993915680222 | -0.369993915680222 | 1174 | 0 | 0.369993915680222 | -0.369993915680222 | 1175 | 0 | 0.369993915680222 | -0.369993915680222 | 1176 | 0 | 0.369993915680222 | -0.369993915680222 | 1177 | 0 | -0.137189091525845 | 0.137189091525845 | 1178 | 0 | -0.137189091525845 | 0.137189091525845 | 1179 | 0 | -0.137189091525845 | 0.137189091525845 | 1180 | 0 | 0.155097397061435 | -0.155097397061435 | 1181 | 0 | 0.662280404267502 | -0.662280404267502 | 1182 | 0 | 0.103871546733283 | -0.103871546733283 | 1183 | 1 | 0.61105455393935 | 0.38894544606065 | 1184 | 0 | 0.076477934559985 | -0.076477934559985 | 1185 | 0 | 0.0827871134966039 | -0.0827871134966039 | 1186 | 0 | 0.0827871134966039 | -0.0827871134966039 | 1187 | 0 | 0.0827871134966039 | -0.0827871134966039 | 1188 | 1 | 0.631725333357996 | 0.368274666642004 | 1189 | 1 | 0.618693321666726 | 0.381306678333274 | 1190 | 1 | 0.631725333357996 | 0.368274666642004 | 1191 | 1 | 0.103871546733283 | 0.896128453266717 | 1192 | 0 | 0.103871546733283 | -0.103871546733283 | 1193 | 0 | 0.103871546733283 | -0.103871546733283 | 1194 | 0 | 0.158658771079879 | -0.158658771079879 | 1195 | 0 | 0.158658771079879 | -0.158658771079879 | 1196 | 0 | 0.158658771079879 | -0.158658771079879 | 1197 | 1 | 0.103871546733283 | 0.896128453266717 | 1198 | 0 | 0.158658771079879 | -0.158658771079879 | 1199 | 1 | 0.665841778285946 | 0.334158221714054 | 1200 | 0 | 0.158658771079879 | -0.158658771079879 | 1201 | 0 | 0.158658771079879 | -0.158658771079879 | 1202 | 0 | 0.103871546733283 | -0.103871546733283 | 1203 | 0 | 0.158658771079879 | -0.158658771079879 | 1204 | 0 | 0.0490843223866871 | -0.0490843223866871 | 1205 | 0 | 0.103871546733283 | -0.103871546733283 | 1206 | 1 | 0.638448166112648 | 0.361551833887352 | 1207 | 0 | 0.0524900524323428 | -0.0524900524323428 | 1208 | 0 | 0.0250964402590448 | -0.0250964402590448 | 1209 | 0 | 0.55967305963841 | -0.55967305963841 | 1210 | 0 | 0.55967305963841 | -0.55967305963841 | 1211 | 0 | 0.0264260290498024 | -0.0264260290498024 | 1212 | 0 | 0.533609036255869 | -0.533609036255869 | 1213 | 0 | 0.158658771079879 | -0.158658771079879 | 1214 | 0 | 0.158658771079879 | -0.158658771079879 | 1215 | 0 | 0.158658771079879 | -0.158658771079879 | 1216 | 0 | 0.158658771079879 | -0.158658771079879 | 1217 | 1 | 0.665841778285946 | 0.334158221714054 | 1218 | 0 | 0.131265158906581 | -0.131265158906581 | 1219 | 0 | 0.076477934559985 | -0.076477934559985 | 1220 | 0 | 0.158658771079879 | -0.158658771079879 | 1221 | 0 | 0.076477934559985 | -0.076477934559985 | 1222 | 0 | 0.158658771079879 | -0.158658771079879 | 1223 | 0 | 0.076477934559985 | -0.076477934559985 | 1224 | 1 | 0.61105455393935 | 0.38894544606065 | 1225 | 0 | 0.103871546733283 | -0.103871546733283 | 1226 | 0 | -0.00570290195990871 | 0.00570290195990871 | 1227 | 0 | 0.131265158906581 | -0.131265158906581 | 1228 | 0 | 0.61105455393935 | -0.61105455393935 | 1229 | 1 | 0.0764779345599852 | 0.923522065440015 | 1230 | 0 | 0.103871546733283 | -0.103871546733283 | 1231 | 0 | 0.669661162149634 | -0.669661162149634 | 1232 | 0 | 0.5769381090114 | -0.5769381090114 | 1233 | 1 | 0.131265158906581 | 0.868734841093419 | 1234 | 1 | 0.0490843223866873 | 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 | 0.076477934559985 | -0.076477934559985 | 1241 | 1 | 0.162478154943567 | 0.837521845056433 | 1242 | 0 | 0.120722942288241 | -0.120722942288241 | 1243 | 0 | 0.158658771079879 | -0.158658771079879 | 1244 | 0 | 0.158658771079879 | -0.158658771079879 | 1245 | 1 | 0.604331721184698 | 0.395668278815302 | 1246 | 0 | 0.158658771079879 | -0.158658771079879 | 1247 | 0 | 0.120722942288241 | -0.120722942288241 | 1248 | 1 | 0.627905949494308 | 0.372094050505692 | 1249 | 0 | 0.076477934559985 | -0.076477934559985 | 1250 | 0 | 0.158658771079879 | -0.158658771079879 | 1251 | 0 | 0.158658771079879 | -0.158658771079879 | 1252 | 0 | 0.076477934559985 | -0.076477934559985 | 1253 | 0 | 0.0490843223866871 | -0.0490843223866871 | 1254 | 0 | 0.158658771079879 | -0.158658771079879 | 1255 | 1 | 0.103871546733283 | 0.896128453266717 | 1256 | 0 | 0.158658771079879 | -0.158658771079879 | 1257 | 1 | 0.124542326151930 | 0.87545767384807 | 1258 | 1 | 0.631725333357996 | 0.368274666642004 | 1259 | 1 | 0.618693321666726 | 0.381306678333274 | 1260 | 0 | 0.076477934559985 | -0.076477934559985 | 1261 | 1 | 0.638448166112648 | 0.361551833887352 | 1262 | 1 | 0.501480105246158 | 0.498519894753842 | 1263 | 0 | 0.124542326151930 | -0.124542326151930 | 1264 | 0 | 0.0971487139786316 | -0.0971487139786316 | 1265 | 0 | 0.0567230901140635 | -0.0567230901140635 | 1266 | 0 | 0.646086933840024 | -0.646086933840024 | 1267 | 0 | 0.0423614896320357 | -0.0423614896320357 | 1268 | 0 | 0.549544496838103 | -0.549544496838103 | 1269 | 0 | 0.158658771079879 | -0.158658771079879 | 1270 | 0 | 0.076477934559985 | -0.076477934559985 | 1271 | 0 | 0.103871546733283 | -0.103871546733283 | 1272 | 0 | 0.103871546733283 | -0.103871546733283 | 1273 | 0 | 0.0490843223866871 | -0.0490843223866871 | 1274 | 0 | 0.562576508529373 | -0.562576508529373 | 1275 | 0 | -0.0373295518149274 | 0.0373295518149274 | 1276 | 0 | 0.055393501323306 | -0.055393501323306 | 1277 | 0 | 0.545725112974414 | -0.545725112974414 | 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 | 0.158658771079879 | -0.158658771079879 | 1284 | 0 | 0.158658771079879 | -0.158658771079879 | 1285 | 0 | 0.158658771079879 | -0.158658771079879 | 1286 | 0 | 0.076477934559985 | -0.076477934559985 | 1287 | 1 | 0.583660941766052 | 0.416339058233948 | 1288 | 0 | 0.0216907102133892 | -0.0216907102133892 | 1289 | 0 | 0.0933293301149434 | -0.0933293301149434 | 1290 | 0 | 0.0659357179416455 | -0.0659357179416455 | 1291 | 1 | 0.518331500801116 | 0.481668499198883 | 1292 | 0 | 0.158658771079879 | -0.158658771079879 | 1293 | 0 | 0.158658771079879 | -0.158658771079879 | 1294 | 0 | 0.158658771079879 | -0.158658771079879 | 1295 | 0 | 0.103871546733283 | -0.103871546733283 | 1296 | 0 | 0.103871546733283 | -0.103871546733283 | 1297 | 0 | 0.103871546733283 | -0.103871546733283 | 1298 | 0 | 0.158658771079879 | -0.158658771079879 | 1299 | 0 | 0.076477934559985 | -0.076477934559985 | 1300 | 0 | 0.0659357179416455 | -0.0659357179416455 | 1301 | 1 | 0.60051233732101 | 0.39948766267899 | 1302 | 0 | 0.0490843223866871 | -0.0490843223866871 | 1303 | 0 | 0.158658771079879 | -0.158658771079879 | 1304 | 0 | 0.158658771079879 | -0.158658771079879 | 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 | 0.0676664476353463 | 0.0338332238176731 | 10 | 0.940102109304444 | 0.119795781391113 | 0.0598978906955563 | 11 | 0.97800839000131 | 0.0439832199973799 | 0.0219916099986900 | 12 | 0.95950299555805 | 0.0809940088838984 | 0.0404970044419492 | 13 | 0.936911542475158 | 0.126176915049685 | 0.0630884575248423 | 14 | 0.90444526333579 | 0.191109473328420 | 0.0955547366642101 | 15 | 0.94593116437828 | 0.108137671243441 | 0.0540688356217205 | 16 | 0.953541302141247 | 0.0929173957175064 | 0.0464586978587532 | 17 | 0.936929374454923 | 0.126141251090154 | 0.0630706255450771 | 18 | 0.919439259043415 | 0.161121481913171 | 0.0805607409565854 | 19 | 0.888806905196292 | 0.222386189607417 | 0.111193094803708 | 20 | 0.882490037254014 | 0.235019925491973 | 0.117509962745986 | 21 | 0.935102613918277 | 0.129794772163445 | 0.0648973860817226 | 22 | 0.915894604311538 | 0.168210791376924 | 0.0841053956884622 | 23 | 0.934666849485187 | 0.130666301029625 | 0.0653331505148127 | 24 | 0.912534773804695 | 0.174930452390609 | 0.0874652261953047 | 25 | 0.887035230336171 | 0.225929539327658 | 0.112964769663829 | 26 | 0.887713368570558 | 0.224573262858885 | 0.112286631429442 | 27 | 0.898220557972269 | 0.203558884055462 | 0.101779442027731 | 28 | 0.869920795085977 | 0.260158409828046 | 0.130079204914023 | 29 | 0.838913902101978 | 0.322172195796043 | 0.161086097898021 | 30 | 0.856230472404374 | 0.287539055191252 | 0.143769527595626 | 31 | 0.870834176217865 | 0.258331647564271 | 0.129165823782135 | 32 | 0.880875325935038 | 0.238249348129924 | 0.119124674064962 | 33 | 0.85339667714366 | 0.293206645712681 | 0.146603322856340 | 34 | 0.821562734591788 | 0.356874530816423 | 0.178437265408212 | 35 | 0.838820104963561 | 0.322359790072878 | 0.161179895036439 | 36 | 0.806579333913644 | 0.386841332172712 | 0.193420666086356 | 37 | 0.78719903730022 | 0.425601925399559 | 0.212800962699780 | 38 | 0.804163772405195 | 0.39167245518961 | 0.195836227594805 | 39 | 0.819711091266946 | 0.360577817466109 | 0.180288908733054 | 40 | 0.828875979302428 | 0.342248041395143 | 0.171124020697572 | 41 | 0.837646528748284 | 0.324706942503432 | 0.162353471251716 | 42 | 0.80802826410244 | 0.38394347179512 | 0.19197173589756 | 43 | 0.776413608946315 | 0.44717278210737 | 0.223586391053685 | 44 | 0.741484599056542 | 0.517030801886916 | 0.258515400943458 | 45 | 0.704096804801436 | 0.591806390397128 | 0.295903195198564 | 46 | 0.710071774839352 | 0.579856450321296 | 0.289928225160648 | 47 | 0.71027389446287 | 0.579452211074261 | 0.289726105537130 | 48 | 0.747646163015765 | 0.504707673968469 | 0.252353836984235 | 49 | 0.712166590870803 | 0.575666818258394 | 0.287833409129197 | 50 | 0.78158252968107 | 0.436834940637861 | 0.218417470318930 | 51 | 0.753718556594751 | 0.492562886810498 | 0.246281443405249 | 52 | 0.759674317097598 | 0.480651365804805 | 0.240325682902402 | 53 | 0.759650514684307 | 0.480698970631386 | 0.240349485315693 | 54 | 0.753705836405954 | 0.492588327188092 | 0.246294163594046 | 55 | 0.820023473010301 | 0.359953053979398 | 0.179976526989699 | 56 | 0.796900687920459 | 0.406198624159082 | 0.203099312079541 | 57 | 0.821693366120839 | 0.356613267758323 | 0.178306633879161 | 58 | 0.795175981013408 | 0.409648037973185 | 0.204824018986592 | 59 | 0.797755309553933 | 0.404489380892133 | 0.202244690446067 | 60 | 0.774783263450065 | 0.450433473099871 | 0.225216736549935 | 61 | 0.77911309841556 | 0.44177380316888 | 0.22088690158444 | 62 | 0.750380522467195 | 0.499238955065609 | 0.249619477532805 | 63 | 0.752278607482056 | 0.495442785035889 | 0.247721392517944 | 64 | 0.722467919833802 | 0.555064160332396 | 0.277532080166198 | 65 | 0.761213278156826 | 0.477573443686349 | 0.238786721843174 | 66 | 0.73216825688995 | 0.5356634862201 | 0.26783174311005 | 67 | 0.702723097991691 | 0.594553804016618 | 0.297276902008309 | 68 | 0.671915103508884 | 0.656169792982232 | 0.328084896491116 | 69 | 0.709045530002694 | 0.581908939994612 | 0.290954469997306 | 70 | 0.680476280439326 | 0.639047439121347 | 0.319523719560674 | 71 | 0.67353656638976 | 0.65292686722048 | 0.32646343361024 | 72 | 0.672675170782415 | 0.65464965843517 | 0.327324829217585 | 73 | 0.641708173684805 | 0.71658365263039 | 0.358291826315195 | 74 | 0.610345142071945 | 0.779309715856109 | 0.389654857928054 | 75 | 0.599046609505846 | 0.801906780988307 | 0.400953390494154 | 76 | 0.599505391340161 | 0.800989217319679 | 0.400494608659839 | 77 | 0.566069575544651 | 0.867860848910698 | 0.433930424455349 | 78 | 0.568144192959366 | 0.863711614081269 | 0.431855807040634 | 79 | 0.53499738890076 | 0.93000522219848 | 0.46500261109924 | 80 | 0.501746866927718 | 0.996506266144563 | 0.498253133072282 | 81 | 0.487930253454151 | 0.975860506908303 | 0.512069746545849 | 82 | 0.500636718593126 | 0.998726562813747 | 0.499363281406874 | 83 | 0.467615858470989 | 0.935231716941979 | 0.532384141529011 | 84 | 0.435250601299912 | 0.870501202599824 | 0.564749398700088 | 85 | 0.428485653444409 | 0.856971306888817 | 0.571514346555591 | 86 | 0.397351375938669 | 0.794702751877338 | 0.602648624061331 | 87 | 0.444690980467295 | 0.88938196093459 | 0.555309019532705 | 88 | 0.501921756007224 | 0.996156487985551 | 0.498078243992776 | 89 | 0.470315838720561 | 0.940631677441122 | 0.529684161279439 | 90 | 0.464154522235377 | 0.928309044470755 | 0.535845477764623 | 91 | 0.43326318789357 | 0.86652637578714 | 0.56673681210643 | 92 | 0.487486912980787 | 0.974973825961574 | 0.512513087019213 | 93 | 0.4579680389321 | 0.9159360778642 | 0.5420319610679 | 94 | 0.493760573670595 | 0.98752114734119 | 0.506239426329405 | 95 | 0.537472254019308 | 0.925055491961385 | 0.462527745980692 | 96 | 0.507124130280298 | 0.985751739439403 | 0.492875869719702 | 97 | 0.50927035357591 | 0.98145929284818 | 0.49072964642409 | 98 | 0.479189789869645 | 0.95837957973929 | 0.520810210130355 | 99 | 0.449802303966907 | 0.899604607933814 | 0.550197696033093 | 100 | 0.420749207974083 | 0.841498415948165 | 0.579250792025917 | 101 | 0.463456394765886 | 0.926912789531772 | 0.536543605234114 | 102 | 0.463618251918917 | 0.927236503837834 | 0.536381748081083 | 103 | 0.434212683477094 | 0.868425366954187 | 0.565787316522906 | 104 | 0.405742475432691 | 0.811484950865381 | 0.59425752456731 | 105 | 0.377745943779699 | 0.755491887559397 | 0.622254056220301 | 106 | 0.511952956266254 | 0.976094087467492 | 0.488047043733746 | 107 | 0.503764476415979 | 0.992471047168041 | 0.496235523584021 | 108 | 0.47869447462839 | 0.95738894925678 | 0.52130552537161 | 109 | 0.453346234025756 | 0.906692468051512 | 0.546653765974244 | 110 | 0.496574353126194 | 0.993148706252387 | 0.503425646873806 | 111 | 0.495754420743144 | 0.991508841486287 | 0.504245579256856 | 112 | 0.467555743438748 | 0.935111486877497 | 0.532444256561252 | 113 | 0.439599147234247 | 0.879198294468494 | 0.560400852765753 | 114 | 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0.0294493408211474 | 0.985275329589426 | 429 | 0.0135298523308588 | 0.0270597046617176 | 0.986470147669141 | 430 | 0.0123517573290564 | 0.0247035146581128 | 0.987648242670944 | 431 | 0.0112432936900525 | 0.0224865873801049 | 0.988756706309947 | 432 | 0.010495411323233 | 0.020990822646466 | 0.989504588676767 | 433 | 0.0176552377389633 | 0.0353104754779266 | 0.982344762261037 | 434 | 0.0162998531813015 | 0.0325997063626031 | 0.983700146818698 | 435 | 0.0148233781467662 | 0.0296467562935324 | 0.985176621853234 | 436 | 0.0137003611881274 | 0.0274007223762548 | 0.986299638811873 | 437 | 0.0128935093191437 | 0.0257870186382874 | 0.987106490680856 | 438 | 0.0118561267786649 | 0.0237122535573299 | 0.988143873221335 | 439 | 0.0108967080513992 | 0.0217934161027983 | 0.9891032919486 | 440 | 0.0101569847533355 | 0.020313969506671 | 0.989843015246665 | 441 | 0.009480151594089 | 0.018960303188178 | 0.990519848405911 | 442 | 0.00914894136590974 | 0.0182978827318195 | 0.99085105863409 | 443 | 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0.00507091919546629 | 0.997464540402267 | 487 | 0.00233095110315652 | 0.00466190220631303 | 0.997669048896843 | 488 | 0.00207735040732903 | 0.00415470081465806 | 0.99792264959267 | 489 | 0.00185319768322389 | 0.00370639536644779 | 0.998146802316776 | 490 | 0.00175551779547008 | 0.00351103559094015 | 0.99824448220453 | 491 | 0.00236190376465019 | 0.00472380752930039 | 0.99763809623535 | 492 | 0.00222528369728983 | 0.00445056739457967 | 0.99777471630271 | 493 | 0.00294405641034395 | 0.00588811282068789 | 0.997055943589656 | 494 | 0.00270190781404951 | 0.00540381562809902 | 0.99729809218595 | 495 | 0.00247597983471707 | 0.00495195966943414 | 0.997524020165283 | 496 | 0.00233559902838867 | 0.00467119805677733 | 0.997664400971611 | 497 | 0.00213134018915938 | 0.00426268037831876 | 0.99786865981084 | 498 | 0.00192804428139032 | 0.00385608856278065 | 0.99807195571861 | 499 | 0.00175882873645733 | 0.00351765747291466 | 0.998241171263543 | 500 | 0.00160437464029238 | 0.00320874928058476 | 0.998395625359708 | 501 | 0.00145056120841372 | 0.00290112241682744 | 0.998549438791586 | 502 | 0.00130426132486396 | 0.00260852264972791 | 0.998695738675136 | 503 | 0.00121123108402481 | 0.00242246216804961 | 0.998788768915975 | 504 | 0.00184932432086138 | 0.00369864864172276 | 0.998150675679139 | 505 | 0.00168856436269284 | 0.00337712872538567 | 0.998311435637307 | 506 | 0.00152812908011878 | 0.00305625816023756 | 0.998471870919881 | 507 | 0.00135776522598408 | 0.00271553045196816 | 0.998642234774016 | 508 | 0.00125244704275943 | 0.00250489408551886 | 0.99874755295724 | 509 | 0.00112457204916664 | 0.00224914409833327 | 0.998875427950833 | 510 | 0.00102688247971485 | 0.00205376495942969 | 0.998973117520285 | 511 | 0.000959717116963852 | 0.00191943423392770 | 0.999040282883036 | 512 | 0.000856430027258855 | 0.00171286005451771 | 0.999143569972741 | 513 | 0.000777808906647177 | 0.00155561781329435 | 0.999222191093353 | 514 | 0.000702791468503873 | 0.00140558293700775 | 0.999297208531496 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0.00355049497286807 | 0.00710098994573615 | 0.996449505027132 | 530 | 0.00335016277366254 | 0.00670032554732507 | 0.996649837226337 | 531 | 0.00317101503361961 | 0.00634203006723923 | 0.99682898496638 | 532 | 0.0030460200282912 | 0.0060920400565824 | 0.996953979971709 | 533 | 0.00279905952943768 | 0.00559811905887537 | 0.997200940470562 | 534 | 0.00254570051511837 | 0.00509140103023674 | 0.997454299484882 | 535 | 0.00231396528170723 | 0.00462793056341447 | 0.997686034718293 | 536 | 0.00213360152668637 | 0.00426720305337274 | 0.997866398473314 | 537 | 0.00197861632221469 | 0.00395723264442938 | 0.998021383677785 | 538 | 0.00183117301560768 | 0.00366234603121536 | 0.998168826984392 | 539 | 0.00282396820173578 | 0.00564793640347156 | 0.997176031798264 | 540 | 0.00264848889528919 | 0.00529697779057838 | 0.99735151110471 | 541 | 0.00238138960051180 | 0.00476277920102359 | 0.997618610399488 | 542 | 0.00214034920269836 | 0.00428069840539672 | 0.997859650797302 | 543 | 0.00194924096731657 | 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0.0873323672217148 | 0.956333816389143 | 760 | 0.0457282825901117 | 0.0914565651802234 | 0.954271717409888 | 761 | 0.0660225149825912 | 0.132045029965182 | 0.933977485017409 | 762 | 0.0617976379467933 | 0.123595275893587 | 0.938202362053207 | 763 | 0.0831191245427932 | 0.166238249085586 | 0.916880875457207 | 764 | 0.0842803335936134 | 0.168560667187227 | 0.915719666406387 | 765 | 0.0786353427401081 | 0.157270685480216 | 0.921364657259892 | 766 | 0.0825573468708336 | 0.165114693741667 | 0.917442653129166 | 767 | 0.0772858123931305 | 0.154571624786261 | 0.92271418760687 | 768 | 0.0728180005167412 | 0.145636001033482 | 0.927181999483259 | 769 | 0.0685560365247662 | 0.137112073049532 | 0.931443963475234 | 770 | 0.0639927604928376 | 0.127985520985675 | 0.936007239507162 | 771 | 0.059504683375874 | 0.119009366751748 | 0.940495316624126 | 772 | 0.0598629115854542 | 0.119725823170908 | 0.940137088414546 | 773 | 0.0559675620865215 | 0.111935124173043 | 0.944032437913478 | 774 | 0.0518259451274025 | 0.103651890254805 | 0.948174054872598 | 775 | 0.0479345937656066 | 0.0958691875312132 | 0.952065406234393 | 776 | 0.044880732060967 | 0.089761464121934 | 0.955119267939033 | 777 | 0.0415096727518673 | 0.0830193455037346 | 0.958490327248133 | 778 | 0.0572421509085839 | 0.114484301817168 | 0.942757849091416 | 779 | 0.0589885429548203 | 0.117977085909641 | 0.94101145704518 | 780 | 0.0650136344735268 | 0.130027268947054 | 0.934986365526473 | 781 | 0.0661868441160813 | 0.132373688232163 | 0.933813155883919 | 782 | 0.0615747237943178 | 0.123149447588636 | 0.938425276205682 | 783 | 0.056986416321161 | 0.113972832642322 | 0.943013583678839 | 784 | 0.0786953815465203 | 0.157390763093041 | 0.92130461845348 | 785 | 0.0733283693542665 | 0.146656738708533 | 0.926671630645734 | 786 | 0.0757815539171466 | 0.151563107834293 | 0.924218446082853 | 787 | 0.0711052531240514 | 0.142210506248103 | 0.928894746875949 | 788 | 0.0666559550439506 | 0.133311910087901 | 0.93334404495605 | 789 | 0.0618736596050007 | 0.123747319210001 | 0.938126340395 | 790 | 0.0581513072778767 | 0.116302614555753 | 0.941848692722123 | 791 | 0.0539062719802171 | 0.107812543960434 | 0.946093728019783 | 792 | 0.0500345842309691 | 0.100069168461938 | 0.94996541576903 | 793 | 0.0463867663488006 | 0.0927735326976012 | 0.9536132336512 | 794 | 0.0428076978939371 | 0.0856153957878742 | 0.957192302106063 | 795 | 0.0426859459573173 | 0.0853718919146347 | 0.957314054042683 | 796 | 0.0399218557825514 | 0.0798437115651028 | 0.960078144217449 | 797 | 0.0367596501053897 | 0.0735193002107794 | 0.96324034989461 | 798 | 0.0338077609512242 | 0.0676155219024483 | 0.966192239048776 | 799 | 0.0458897636109984 | 0.0917795272219968 | 0.954110236389002 | 800 | 0.0427488842323455 | 0.085497768464691 | 0.957251115767655 | 801 | 0.0490784746028465 | 0.098156949205693 | 0.950921525397154 | 802 | 0.0459746764579646 | 0.0919493529159292 | 0.954025323542035 | 803 | 0.0430349092721369 | 0.0860698185442738 | 0.956965090727863 | 804 | 0.039894882740439 | 0.079789765480878 | 0.960105117259561 | 805 | 0.0372810409048589 | 0.0745620818097177 | 0.962718959095141 | 806 | 0.0502908557550013 | 0.100581711510003 | 0.949709144244999 | 807 | 0.0540401680711368 | 0.108080336142274 | 0.945959831928863 | 808 | 0.059659700871281 | 0.119319401742562 | 0.940340299128719 | 809 | 0.0560195853901 | 0.1120391707802 | 0.9439804146099 | 810 | 0.0518478141189638 | 0.103695628237928 | 0.948152185881036 | 811 | 0.0481261001654654 | 0.0962522003309307 | 0.951873899834535 | 812 | 0.0509612267588404 | 0.101922453517681 | 0.94903877324116 | 813 | 0.0477418993258602 | 0.0954837986517204 | 0.95225810067414 | 814 | 0.044692281981378 | 0.089384563962756 | 0.955307718018622 | 815 | 0.041443974528785 | 0.08288794905757 | 0.958556025471215 | 816 | 0.038731009185658 | 0.077462018371316 | 0.961268990814342 | 817 | 0.0361688515248005 | 0.0723377030496009 | 0.9638311484752 | 818 | 0.0334412386407238 | 0.0668824772814476 | 0.966558761359276 | 819 | 0.0337398230432777 | 0.0674796460865554 | 0.966260176956722 | 820 | 0.0336641307567407 | 0.0673282615134814 | 0.96633586924326 | 821 | 0.0458194657335693 | 0.0916389314671385 | 0.95418053426643 | 822 | 0.0421614849753079 | 0.0843229699506158 | 0.957838515024692 | 823 | 0.0388560720689954 | 0.0777121441379909 | 0.961143927931005 | 824 | 0.0412294108562273 | 0.0824588217124545 | 0.958770589143773 | 825 | 0.038067892945792 | 0.076135785891584 | 0.961932107054208 | 826 | 0.0349587275062228 | 0.0699174550124456 | 0.965041272493777 | 827 | 0.0320553359748544 | 0.0641106719497088 | 0.967944664025146 | 828 | 0.0293559106136422 | 0.0587118212272844 | 0.970644089386358 | 829 | 0.0302393925443891 | 0.0604787850887783 | 0.96976060745561 | 830 | 0.0309326409892774 | 0.0618652819785548 | 0.969067359010723 | 831 | 0.0282697727459033 | 0.0565395454918066 | 0.971730227254097 | 832 | 0.0260455049492387 | 0.0520910098984773 | 0.973954495050761 | 833 | 0.0277295547411867 | 0.0554591094823735 | 0.972270445258813 | 834 | 0.0253451608101872 | 0.0506903216203745 | 0.974654839189813 | 835 | 0.0232334302874778 | 0.0464668605749556 | 0.976766569712522 | 836 | 0.0215440756663677 | 0.0430881513327353 | 0.978455924333632 | 837 | 0.0197733067302204 | 0.0395466134604409 | 0.98022669326978 | 838 | 0.0179346268741323 | 0.0358692537482645 | 0.982065373125868 | 839 | 0.0162623923529858 | 0.0325247847059717 | 0.983737607647014 | 840 | 0.0149384811253131 | 0.0298769622506263 | 0.985061518874687 | 841 | 0.0168166607805060 | 0.0336333215610121 | 0.983183339219494 | 842 | 0.0192608032486487 | 0.0385216064972974 | 0.980739196751351 | 843 | 0.0176742770065042 | 0.0353485540130083 | 0.982325722993496 | 844 | 0.0162017805907363 | 0.0324035611814726 | 0.983798219409264 | 845 | 0.0147277442502805 | 0.0294554885005610 | 0.98527225574972 | 846 | 0.0154186415842665 | 0.0308372831685329 | 0.984581358415734 | 847 | 0.0140902251962469 | 0.0281804503924939 | 0.985909774803753 | 848 | 0.0128623276824020 | 0.0257246553648039 | 0.987137672317598 | 849 | 0.0115875224015225 | 0.0231750448030449 | 0.988412477598478 | 850 | 0.010486122302993 | 0.020972244605986 | 0.989513877697007 | 851 | 0.00953830942631024 | 0.0190766188526205 | 0.99046169057369 | 852 | 0.0103882445766152 | 0.0207764891532303 | 0.989611755423385 | 853 | 0.0122496018143286 | 0.0244992036286571 | 0.987750398185671 | 854 | 0.011161166047658 | 0.022322332095316 | 0.988838833952342 | 855 | 0.0102729483172874 | 0.0205458966345748 | 0.989727051682713 | 856 | 0.00938975056850247 | 0.0187795011370049 | 0.990610249431498 | 857 | 0.00936181382927095 | 0.0187236276585419 | 0.99063818617073 | 858 | 0.0142944825225960 | 0.0285889650451921 | 0.985705517477404 | 859 | 0.0201332225479017 | 0.0402664450958034 | 0.979866777452098 | 860 | 0.0229276965502778 | 0.0458553931005556 | 0.977072303449722 | 861 | 0.0234879681743629 | 0.0469759363487259 | 0.976512031825637 | 862 | 0.0261476002382344 | 0.0522952004764688 | 0.973852399761766 | 863 | 0.0267839819153317 | 0.0535679638306634 | 0.973216018084668 | 864 | 0.0246379597870958 | 0.0492759195741915 | 0.975362040212904 | 865 | 0.0273897032059194 | 0.0547794064118388 | 0.97261029679408 | 866 | 0.0315695307961128 | 0.0631390615922256 | 0.968430469203887 | 867 | 0.031701154949834 | 0.063402309899668 | 0.968298845050166 | 868 | 0.0334060614644824 | 0.0668121229289649 | 0.966593938535518 | 869 | 0.0306307888625639 | 0.0612615777251278 | 0.969369211137436 | 870 | 0.0282281485456153 | 0.0564562970912305 | 0.971771851454385 | 871 | 0.0289578508802265 | 0.057915701760453 | 0.971042149119773 | 872 | 0.0269309325909000 | 0.0538618651818001 | 0.9730690674091 | 873 | 0.0269536474433222 | 0.0539072948866444 | 0.973046352556678 | 874 | 0.0246353012251454 | 0.0492706024502909 | 0.975364698774855 | 875 | 0.0338350368857868 | 0.0676700737715736 | 0.966164963114213 | 876 | 0.0311149416487453 | 0.0622298832974907 | 0.968885058351255 | 877 | 0.0289446296756779 | 0.0578892593513558 | 0.971055370324322 | 878 | 0.0312714571572615 | 0.062542914314523 | 0.968728542842738 | 879 | 0.0337703450726547 | 0.0675406901453095 | 0.966229654927345 | 880 | 0.0314369326241876 | 0.0628738652483753 | 0.968563067375812 | 881 | 0.0447733030943441 | 0.0895466061886881 | 0.955226696905656 | 882 | 0.0623890839649392 | 0.124778167929878 | 0.93761091603506 | 883 | 0.0585402742803907 | 0.117080548560781 | 0.94145972571961 | 884 | 0.0544223272473644 | 0.108844654494729 | 0.945577672752636 | 885 | 0.050255037755766 | 0.100510075511532 | 0.949744962244234 | 886 | 0.0465090943954786 | 0.0930181887909572 | 0.953490905604521 | 887 | 0.0465544643346841 | 0.0931089286693683 | 0.953445535665316 | 888 | 0.0618816867778312 | 0.123763373555662 | 0.938118313222169 | 889 | 0.0574056689172923 | 0.114811337834585 | 0.942594331082708 | 890 | 0.0786674793754177 | 0.157334958750835 | 0.921332520624582 | 891 | 0.0734507764146731 | 0.146901552829346 | 0.926549223585327 | 892 | 0.0683118161327111 | 0.136623632265422 | 0.931688183867289 | 893 | 0.0634590534298872 | 0.126918106859774 | 0.936540946570113 | 894 | 0.0590528143613957 | 0.118105628722791 | 0.940947185638604 | 895 | 0.0807754547780276 | 0.161550909556055 | 0.919224545221972 | 896 | 0.082963004765615 | 0.16592600953123 | 0.917036995234385 | 897 | 0.0771840999748608 | 0.154368199949722 | 0.92281590002514 | 898 | 0.0718659694525426 | 0.143731938905085 | 0.928134030547457 | 899 | 0.0672215439323691 | 0.134443087864738 | 0.93277845606763 | 900 | 0.0700520101035407 | 0.140104020207081 | 0.92994798989646 | 901 | 0.0651023992043642 | 0.130204798408728 | 0.934897600795636 | 902 | 0.0708516891949808 | 0.141703378389962 | 0.92914831080502 | 903 | 0.0658469721640084 | 0.131693944328017 | 0.934153027835992 | 904 | 0.0716290936916168 | 0.143258187383234 | 0.928370906308383 | 905 | 0.0667605813885443 | 0.133521162777089 | 0.933239418611456 | 906 | 0.092455119846466 | 0.184910239692932 | 0.907544880153534 | 907 | 0.0865032495743204 | 0.173006499148641 | 0.91349675042568 | 908 | 0.0920019062874433 | 0.184003812574887 | 0.907998093712557 | 909 | 0.0978360200320928 | 0.195672040064186 | 0.902163979967907 | 910 | 0.131728468629441 | 0.263456937258881 | 0.86827153137056 | 911 | 0.124354441220797 | 0.248708882441594 | 0.875645558779203 | 912 | 0.116913376910337 | 0.233826753820674 | 0.883086623089663 | 913 | 0.109512292034737 | 0.219024584069474 | 0.890487707965263 | 914 | 0.143601055351846 | 0.287202110703692 | 0.856398944648154 | 915 | 0.135001030618635 | 0.270002061237271 | 0.864998969381365 | 916 | 0.127085468788651 | 0.254170937577302 | 0.87291453121135 | 917 | 0.128250758892855 | 0.256501517785709 | 0.871749241107145 | 918 | 0.171055104528041 | 0.342110209056082 | 0.828944895471959 | 919 | 0.162741418051707 | 0.325482836103414 | 0.837258581948293 | 920 | 0.154160246944894 | 0.308320493889789 | 0.845839753055106 | 921 | 0.146421699157854 | 0.292843398315707 | 0.853578300842146 | 922 | 0.138963271352067 | 0.277926542704134 | 0.861036728647933 | 923 | 0.139274284698268 | 0.278548569396536 | 0.860725715301732 | 924 | 0.139766322179711 | 0.279532644359421 | 0.86023367782029 | 925 | 0.131273545043865 | 0.26254709008773 | 0.868726454956135 | 926 | 0.122896757891938 | 0.245793515783875 | 0.877103242108062 | 927 | 0.154648666698264 | 0.309297333396528 | 0.845351333301736 | 928 | 0.146030887355182 | 0.292061774710363 | 0.853969112644818 | 929 | 0.157387101031136 | 0.314774202062272 | 0.842612898968864 | 930 | 0.148672922170909 | 0.297345844341819 | 0.85132707782909 | 931 | 0.140294339033564 | 0.280588678067127 | 0.859705660966436 | 932 | 0.132971228814377 | 0.265942457628753 | 0.867028771185623 | 933 | 0.138167047602567 | 0.276334095205135 | 0.861832952397433 | 934 | 0.129189678284253 | 0.258379356568505 | 0.870810321715747 | 935 | 0.132192262626479 | 0.264384525252959 | 0.86780773737352 | 936 | 0.188419257087376 | 0.376838514174753 | 0.811580742912624 | 937 | 0.196648001790179 | 0.393296003580358 | 0.803351998209821 | 938 | 0.209129210388939 | 0.418258420777878 | 0.790870789611061 | 939 | 0.19770696923885 | 0.3954139384777 | 0.80229303076115 | 940 | 0.205834219781721 | 0.411668439563442 | 0.794165780218279 | 941 | 0.19637073064713 | 0.39274146129426 | 0.80362926935287 | 942 | 0.246531810569180 | 0.493063621138361 | 0.75346818943082 | 943 | 0.235999673950077 | 0.471999347900154 | 0.764000326049923 | 944 | 0.247773204216396 | 0.495546408432791 | 0.752226795783604 | 945 | 0.237183698783011 | 0.474367397566022 | 0.762816301216989 | 946 | 0.284918567172117 | 0.569837134344235 | 0.715081432827883 | 947 | 0.273423164961682 | 0.546846329923363 | 0.726576835038318 | 948 | 0.277845811427922 | 0.555691622855844 | 0.722154188572078 | 949 | 0.266528914569224 | 0.533057829138449 | 0.733471085430776 | 950 | 0.325760264865311 | 0.651520529730622 | 0.674239735134689 | 951 | 0.311960041726038 | 0.623920083452076 | 0.688039958273962 | 952 | 0.298424170701335 | 0.596848341402669 | 0.701575829298665 | 953 | 0.285167497627846 | 0.570334995255692 | 0.714832502372154 | 954 | 0.346487872359492 | 0.692975744718984 | 0.653512127640508 | 955 | 0.330657375292125 | 0.661314750584249 | 0.669342624707875 | 956 | 0.33935160657235 | 0.6787032131447 | 0.66064839342765 | 957 | 0.348214981295669 | 0.696429962591338 | 0.651785018704331 | 958 | 0.357289540124361 | 0.714579080248722 | 0.642710459875639 | 959 | 0.374444193198045 | 0.748888386396089 | 0.625555806801955 | 960 | 0.358997217576422 | 0.717994435152845 | 0.641002782423578 | 961 | 0.34378490971316 | 0.68756981942632 | 0.65621509028684 | 962 | 0.363187204737741 | 0.726374409475483 | 0.636812795262259 | 963 | 0.349015282325219 | 0.698030564650438 | 0.650984717674781 | 964 | 0.333921816387522 | 0.667843632775045 | 0.666078183612478 | 965 | 0.319100127853524 | 0.638200255707049 | 0.680899872146476 | 966 | 0.305187857676007 | 0.610375715352015 | 0.694812142323993 | 967 | 0.322174704821538 | 0.644349409643076 | 0.677825295178462 | 968 | 0.334322790075867 | 0.668645580151735 | 0.665677209924133 | 969 | 0.318889157688077 | 0.637778315376153 | 0.681110842311923 | 970 | 0.330429649326079 | 0.660859298652158 | 0.669570350673921 | 971 | 0.402817634741211 | 0.805635269482422 | 0.597182365258789 | 972 | 0.38920101641045 | 0.7784020328209 | 0.61079898358955 | 973 | 0.374125702681625 | 0.748251405363249 | 0.625874297318375 | 974 | 0.360843759058791 | 0.721687518117583 | 0.639156240941209 | 975 | 0.344834471850902 | 0.689668943701804 | 0.655165528149098 | 976 | 0.359809714438807 | 0.719619428877614 | 0.640190285561193 | 977 | 0.346670297202827 | 0.693340594405654 | 0.653329702797173 | 978 | 0.332199128526306 | 0.664398257052612 | 0.667800871473694 | 979 | 0.398011511931402 | 0.796023023862804 | 0.601988488068598 | 980 | 0.381229989520263 | 0.762459979040526 | 0.618770010479737 | 981 | 0.384461181073655 | 0.76892236214731 | 0.615538818926345 | 982 | 0.459020426504905 | 0.91804085300981 | 0.540979573495095 | 983 | 0.444917015122204 | 0.889834030244409 | 0.555082984877796 | 984 | 0.430915803510066 | 0.861831607020133 | 0.569084196489934 | 985 | 0.430062067071125 | 0.86012413414225 | 0.569937932928875 | 986 | 0.501702684056486 | 0.996594631887028 | 0.498297315943514 | 987 | 0.485490501596461 | 0.970981003192922 | 0.514509498403539 | 988 | 0.513469118770635 | 0.973061762458731 | 0.486530881229365 | 989 | 0.499221849559261 | 0.998443699118523 | 0.500778150440739 | 990 | 0.485011388955357 | 0.970022777910714 | 0.514988611044643 | 991 | 0.468798315823241 | 0.937596631646482 | 0.531201684176759 | 992 | 0.530726577337172 | 0.938546845325656 | 0.469273422662828 | 993 | 0.548515865440555 | 0.90296826911889 | 0.451484134559445 | 994 | 0.547429725786579 | 0.905140548426842 | 0.452570274213421 | 995 | 0.532976007099308 | 0.934047985801383 | 0.467023992900692 | 996 | 0.51599768409361 | 0.96800463181278 | 0.48400231590639 | 997 | 0.49900013030637 | 0.99800026061274 | 0.50099986969363 | 998 | 0.498243839267797 | 0.996487678535595 | 0.501756160732203 | 999 | 0.483680169092061 | 0.967360338184121 | 0.516319830907939 | 1000 | 0.483275655217396 | 0.966551310434792 | 0.516724344782604 | 1001 | 0.54702886177551 | 0.90594227644898 | 0.45297113822449 | 1002 | 0.554320235048594 | 0.891359529902812 | 0.445679764951406 | 1003 | 0.56230190251055 | 0.8753961949789 | 0.43769809748945 | 1004 | 0.640189400012465 | 0.719621199975071 | 0.359810599987535 | 1005 | 0.641641047881614 | 0.716717904236771 | 0.358358952118386 | 1006 | 0.627398020500347 | 0.745203958999307 | 0.372601979499653 | 1007 | 0.629315602524117 | 0.741368794951766 | 0.370684397475883 | 1008 | 0.633529311781041 | 0.732941376437917 | 0.366470688218959 | 1009 | 0.64929290506974 | 0.701414189860521 | 0.350707094930261 | 1010 | 0.635013132410323 | 0.729973735179354 | 0.364986867589677 | 1011 | 0.618331758733746 | 0.763336482532507 | 0.381668241266253 | 1012 | 0.635178630424916 | 0.729642739150169 | 0.364821369575084 | 1013 | 0.659474477091126 | 0.681051045817748 | 0.340525522908874 | 1014 | 0.683982811316824 | 0.632034377366352 | 0.316017188683176 | 1015 | 0.708601593976912 | 0.582796812046177 | 0.291398406023088 | 1016 | 0.692808836968136 | 0.614382326063728 | 0.307191163031864 | 1017 | 0.679309569604721 | 0.641380860790558 | 0.320690430395279 | 1018 | 0.7443938184942 | 0.511212363011601 | 0.255606181505800 | 1019 | 0.731933002505415 | 0.53613399498917 | 0.268066997494585 | 1020 | 0.717834660717078 | 0.564330678565844 | 0.282165339282922 | 1021 | 0.703393578941471 | 0.593212842117057 | 0.296606421058529 | 1022 | 0.68862822542599 | 0.62274354914802 | 0.31137177457401 | 1023 | 0.675003621175458 | 0.649992757649085 | 0.324996378824542 | 1024 | 0.675080855304863 | 0.649838289390275 | 0.324919144695137 | 1025 | 0.659738572772258 | 0.680522854455484 | 0.340261427227742 | 1026 | 0.724314660639704 | 0.551370678720593 | 0.275685339360296 | 1027 | 0.730856474549952 | 0.538287050900097 | 0.269143525450048 | 1028 | 0.717847945641321 | 0.564304108717358 | 0.282152054358679 | 1029 | 0.72204578091725 | 0.555908438165501 | 0.277954219082750 | 1030 | 0.707628541600867 | 0.584742916798267 | 0.292371458399133 | 1031 | 0.694100276545281 | 0.611799446909438 | 0.305899723454719 | 1032 | 0.678467200368852 | 0.643065599262296 | 0.321532799631148 | 1033 | 0.664403477590014 | 0.671193044819971 | 0.335596522409986 | 1034 | 0.725265380540919 | 0.549469238918162 | 0.274734619459081 | 1035 | 0.791457425931819 | 0.417085148136362 | 0.208542574068181 | 1036 | 0.848785331809911 | 0.302429336380178 | 0.151214668190089 | 1037 | 0.85503843697005 | 0.289923126059900 | 0.144961563029950 | 1038 | 0.85699303565229 | 0.286013928695418 | 0.143006964347709 | 1039 | 0.847468053484718 | 0.305063893030563 | 0.152531946515282 | 1040 | 0.84989213468096 | 0.300215730638078 | 0.150107865319039 | 1041 | 0.854184368648927 | 0.291631262702145 | 0.145815631351073 | 1042 | 0.844496623956475 | 0.31100675208705 | 0.155503376043525 | 1043 | 0.849980613431813 | 0.300038773136374 | 0.150019386568187 | 1044 | 0.855911447608186 | 0.288177104783628 | 0.144088552391814 | 1045 | 0.860099872925888 | 0.279800254148224 | 0.139900127074112 | 1046 | 0.850310089375073 | 0.299379821249855 | 0.149689910624927 | 1047 | 0.839864712922366 | 0.320270574155269 | 0.160135287077634 | 1048 | 0.845514576835664 | 0.308970846328673 | 0.154485423164336 | 1049 | 0.855809828192144 | 0.288380343615712 | 0.144190171807856 | 1050 | 0.904477229589776 | 0.191045540820448 | 0.0955227704102238 | 1051 | 0.912772550141147 | 0.174454899717706 | 0.087227449858853 | 1052 | 0.905392452893071 | 0.189215094213857 | 0.0946075471069286 | 1053 | 0.89797817169768 | 0.204043656604641 | 0.102021828302321 | 1054 | 0.890159598732415 | 0.219680802535170 | 0.109840401267585 | 1055 | 0.899657585305966 | 0.200684829388068 | 0.100342414694034 | 1056 | 0.891959806965176 | 0.216080386069648 | 0.108040193034824 | 1057 | 0.928481146108954 | 0.143037707782092 | 0.071518853891046 | 1058 | 0.933815018641847 | 0.132369962716307 | 0.0661849813581534 | 1059 | 0.939387328339328 | 0.121225343321345 | 0.0606126716606723 | 1060 | 0.9337700958111 | 0.1324598083778 | 0.0662299041889 | 1061 | 0.937562180064524 | 0.124875639870952 | 0.0624378199354761 | 1062 | 0.941857195590154 | 0.116285608819692 | 0.0581428044098459 | 1063 | 0.936387442799542 | 0.127225114400916 | 0.0636125572004579 | 1064 | 0.93035757736258 | 0.139284845274839 | 0.0696424226374196 | 1065 | 0.95616731140028 | 0.0876653771994413 | 0.0438326885997206 | 1066 | 0.951722413277554 | 0.0965551734448916 | 0.0482775867224458 | 1067 | 0.946924632403268 | 0.106150735193463 | 0.0530753675967317 | 1068 | 0.951168017847008 | 0.0976639643059847 | 0.0488319821529923 | 1069 | 0.946024159581692 | 0.107951680836617 | 0.0539758404183083 | 1070 | 0.94066905819985 | 0.118661883600300 | 0.0593309418001502 | 1071 | 0.935289993823253 | 0.129420012353495 | 0.0647100061767473 | 1072 | 0.941166401154564 | 0.117667197690872 | 0.0588335988454362 | 1073 | 0.935796841723877 | 0.128406316552245 | 0.0642031582761227 | 1074 | 0.930062544199166 | 0.139874911601669 | 0.0699374558008344 | 1075 | 0.923951920644683 | 0.152096158710634 | 0.076048079355317 | 1076 | 0.917106891305974 | 0.165786217388052 | 0.0828931086940258 | 1077 | 0.923961246200151 | 0.152077507599697 | 0.0760387537998486 | 1078 | 0.929099571807654 | 0.141800856384691 | 0.0709004281923456 | 1079 | 0.934548482410124 | 0.130903035179753 | 0.0654515175898764 | 1080 | 0.940928364453986 | 0.118143271092028 | 0.0590716355460139 | 1081 | 0.962754780164365 | 0.0744904396712695 | 0.0372452198356347 | 1082 | 0.96693866516916 | 0.0661226696616806 | 0.0330613348308403 | 1083 | 0.981594372573467 | 0.0368112548530666 | 0.0184056274265333 | 1084 | 0.979327932760604 | 0.041344134478791 | 0.0206720672393955 | 1085 | 0.976688291014332 | 0.0466234179713361 | 0.0233117089856681 | 1086 | 0.973963914015147 | 0.0520721719697053 | 0.0260360859848526 | 1087 | 0.975723331049507 | 0.0485533379009849 | 0.0242766689504925 | 1088 | 0.972866566528652 | 0.054266866942696 | 0.027133433471348 | 1089 | 0.985052612006243 | 0.0298947759875134 | 0.0149473879937567 | 1090 | 0.98311792119171 | 0.0337641576165782 | 0.0168820788082891 | 1091 | 0.984493274655979 | 0.0310134506880427 | 0.0155067253440213 | 1092 | 0.98587837438341 | 0.0282432512331807 | 0.0141216256165904 | 1093 | 0.984032514048094 | 0.0319349719038127 | 0.0159674859519063 | 1094 | 0.98199437170798 | 0.0360112565840411 | 0.0180056282920206 | 1095 | 0.984342875625632 | 0.0313142487487360 | 0.0156571243743680 | 1096 | 0.985886222248145 | 0.0282275555037093 | 0.0141137777518546 | 1097 | 0.98379765000188 | 0.0324046999962409 | 0.0162023499981205 | 1098 | 0.9814457124866 | 0.0371085750268000 | 0.0185542875134000 | 1099 | 0.981682428358287 | 0.0366351432834265 | 0.0183175716417133 | 1100 | 0.981988030587238 | 0.0360239388255243 | 0.0180119694127621 | 1101 | 0.98236164457389 | 0.0352767108522209 | 0.0176383554261105 | 1102 | 0.979796531849883 | 0.0404069363002345 | 0.0202034681501172 | 1103 | 0.976917440866767 | 0.0461651182664668 | 0.0230825591332334 | 1104 | 0.973695419451398 | 0.0526091610972046 | 0.0263045805486023 | 1105 | 0.970096003770254 | 0.0598079924594925 | 0.0299039962297462 | 1106 | 0.9660915437011 | 0.0678169125978006 | 0.0339084562989003 | 1107 | 0.966120514985473 | 0.0677589700290532 | 0.0338794850145266 | 1108 | 0.962160698735674 | 0.0756786025286518 | 0.0378393012643259 | 1109 | 0.957871633531678 | 0.084256732936643 | 0.0421283664683215 | 1110 | 0.953255000935933 | 0.093489998128135 | 0.0467449990640675 | 1111 | 0.948085725592052 | 0.103828548815896 | 0.0519142744079482 | 1112 | 0.942130426293961 | 0.115739147412077 | 0.0578695737060387 | 1113 | 0.945341792314256 | 0.109316415371488 | 0.0546582076857441 | 1114 | 0.948545851484554 | 0.102908297030891 | 0.0514541485154457 | 1115 | 0.943112383388362 | 0.113775233223276 | 0.0568876166116381 | 1116 | 0.93724394582489 | 0.12551210835022 | 0.06275605417511 | 1117 | 0.93092250546319 | 0.138154989073620 | 0.0690774945368101 | 1118 | 0.923921388267349 | 0.152157223465303 | 0.0760786117326514 | 1119 | 0.916393448724519 | 0.167213102550962 | 0.083606551275481 | 1120 | 0.90832021604787 | 0.183359567904259 | 0.0916797839521294 | 1121 | 0.945553397356688 | 0.108893205286625 | 0.0544466026433123 | 1122 | 0.970837496060177 | 0.058325007879647 | 0.0291625039398235 | 1123 | 0.975049695246297 | 0.0499006095074061 | 0.0249503047537031 | 1124 | 0.979031718888698 | 0.0419365622226046 | 0.0209682811113023 | 1125 | 0.981354982511647 | 0.0372900349767062 | 0.0186450174883531 | 1126 | 0.978823031620094 | 0.0423539367598116 | 0.0211769683799058 | 1127 | 0.981255883494008 | 0.0374882330119842 | 0.0187441165059921 | 1128 | 0.978719721198537 | 0.0425605576029269 | 0.0212802788014635 | 1129 | 0.97591747686805 | 0.0481650462639009 | 0.0240825231319504 | 1130 | 0.97259067780289 | 0.0548186443942199 | 0.0274093221971100 | 1131 | 0.975986666716676 | 0.0480266665666488 | 0.0240133332833244 | 1132 | 0.9879152410571 | 0.0241695178858008 | 0.0120847589429004 | 1133 | 0.986162107926903 | 0.0276757841461933 | 0.0138378920730966 | 1134 | 0.984165113744256 | 0.0316697725114879 | 0.0158348862557439 | 1135 | 0.981895712818509 | 0.0362085743629829 | 0.0181042871814914 | 1136 | 0.9794263792134 | 0.0411472415732019 | 0.0205736207866009 | 1137 | 0.982605271674625 | 0.0347894566507502 | 0.0173947283253751 | 1138 | 0.98023349601798 | 0.0395330079640411 | 0.0197665039820205 | 1139 | 0.977597822651079 | 0.0448043546978429 | 0.0224021773489215 | 1140 | 0.974491283350759 | 0.0510174332984822 | 0.0255087166492411 | 1141 | 0.971091494755113 | 0.0578170104897747 | 0.0289085052448874 | 1142 | 0.96685297560526 | 0.0662940487894818 | 0.0331470243947409 | 1143 | 0.962101961097573 | 0.0757960778048546 | 0.0378980389024273 | 1144 | 0.956800843637538 | 0.0863983127249232 | 0.0431991563624616 | 1145 | 0.95090706490289 | 0.098185870194221 | 0.0490929350971105 | 1146 | 0.94437793844849 | 0.111244123103019 | 0.0556220615515096 | 1147 | 0.944938944947165 | 0.110122110105671 | 0.0550610550528353 | 1148 | 0.952205270323567 | 0.0955894593528666 | 0.0477947296764333 | 1149 | 0.946393434950256 | 0.107213130099489 | 0.0536065650497444 | 1150 | 0.949034045248408 | 0.101931909503185 | 0.0509659547515925 | 1151 | 0.943101434122824 | 0.113797131754352 | 0.0568985658771758 | 1152 | 0.951458577711145 | 0.0970828445777095 | 0.0485414222888548 | 1153 | 0.945064680724327 | 0.109870638551345 | 0.0549353192756726 | 1154 | 0.951102259426701 | 0.0977954811465976 | 0.0488977405732988 | 1155 | 0.945296201155702 | 0.109407597688596 | 0.0547037988442978 | 1156 | 0.938970459355446 | 0.122059081289109 | 0.0610295406445544 | 1157 | 0.945673455068129 | 0.108653089863742 | 0.054326544931871 | 1158 | 0.938529601667188 | 0.122940796665624 | 0.0614703983328122 | 1159 | 0.94540480439237 | 0.109190391215259 | 0.0545951956076295 | 1160 | 0.946654841234756 | 0.106690317530489 | 0.0533451587652445 | 1161 | 0.94039447232847 | 0.11921105534306 | 0.05960552767153 | 1162 | 0.933444244812423 | 0.133111510375154 | 0.066555755187577 | 1163 | 0.963099605532823 | 0.0738007889343542 | 0.0369003944671771 | 1164 | 0.95815901772154 | 0.0836819645569217 | 0.0418409822784609 | 1165 | 0.95270203595 | 0.0945959280999987 | 0.0472979640499994 | 1166 | 0.946793456065692 | 0.106413087868616 | 0.0532065439343078 | 1167 | 0.940203323407978 | 0.119593353184044 | 0.059796676592022 | 1168 | 0.933001632888449 | 0.133996734223103 | 0.0669983671115513 | 1169 | 0.92516088806363 | 0.149678223872740 | 0.0748391119363701 | 1170 | 0.916817416907274 | 0.166365166185452 | 0.0831825830927259 | 1171 | 0.910740241516718 | 0.178519516966564 | 0.0892597584832818 | 1172 | 0.905429672341672 | 0.189140655316657 | 0.0945703276583284 | 1173 | 0.897082950875678 | 0.205834098248645 | 0.102917049124322 | 1174 | 0.888670355081086 | 0.222659289837829 | 0.111329644918914 | 1175 | 0.880730157516504 | 0.238539684966993 | 0.119269842483496 | 1176 | 0.874359180581993 | 0.251281638836013 | 0.125640819418007 | 1177 | 0.863741792713048 | 0.272516414573904 | 0.136258207286952 | 1178 | 0.856264094432806 | 0.287471811134387 | 0.143735905567194 | 1179 | 0.862865712588206 | 0.274268574823589 | 0.137134287411794 | 1180 | 0.856289707131909 | 0.287420585736183 | 0.143710292868091 | 1181 | 0.849961090590151 | 0.300077818819698 | 0.150038909409849 | 1182 | 0.83568481833338 | 0.328630363333240 | 0.164315181666620 | 1183 | 0.833736691951626 | 0.332526616096748 | 0.166263308048374 | 1184 | 0.818429657791349 | 0.363140684417302 | 0.181570342208651 | 1185 | 0.799920638044486 | 0.400158723911028 | 0.200079361955514 | 1186 | 0.780317767495071 | 0.439364465009858 | 0.219682232504929 | 1187 | 0.759665430367649 | 0.480669139264702 | 0.240334569632351 | 1188 | 0.772735145226066 | 0.454529709547868 | 0.227264854773934 | 1189 | 0.778527482718694 | 0.442945034562613 | 0.221472517281306 | 1190 | 0.796762087608414 | 0.406475824783171 | 0.203237912391585 | 1191 | 0.869399396323845 | 0.261201207352311 | 0.130600603676155 | 1192 | 0.855668939290888 | 0.288662121418224 | 0.144331060709112 | 1193 | 0.840999240145626 | 0.318001519708748 | 0.159000759854374 | 1194 | 0.825043288640154 | 0.349913422719693 | 0.174956711359847 | 1195 | 0.808133407148645 | 0.383733185702709 | 0.191866592851355 | 1196 | 0.790292221559941 | 0.419415556880118 | 0.209707778440059 | 1197 | 0.866790346072916 | 0.266419307854168 | 0.133209653927084 | 1198 | 0.852277135784134 | 0.295445728431732 | 0.147722864215866 | 1199 | 0.856621291300063 | 0.286757417399873 | 0.143378708699936 | 1200 | 0.841160026100463 | 0.317679947799074 | 0.158839973899537 | 1201 | 0.824672251730791 | 0.350655496538418 | 0.175327748269209 | 1202 | 0.807335824574085 | 0.38532835085183 | 0.192664175425915 | 1203 | 0.788803983039879 | 0.422392033920242 | 0.211196016960121 | 1204 | 0.769776754323417 | 0.460446491353166 | 0.230223245676583 | 1205 | 0.749511735113665 | 0.50097652977267 | 0.250488264886335 | 1206 | 0.757354653110662 | 0.485290693778677 | 0.242645346889338 | 1207 | 0.738671570680653 | 0.522656858638694 | 0.261328429319347 | 1208 | 0.721375094704586 | 0.557249810590827 | 0.278624905295414 | 1209 | 0.704944712294828 | 0.590110575410343 | 0.295055287705172 | 1210 | 0.69133930047078 | 0.61732139905844 | 0.30866069952922 | 1211 | 0.664330406077579 | 0.671339187844842 | 0.335669593922421 | 1212 | 0.678852822905926 | 0.642294354188148 | 0.321147177094074 | 1213 | 0.653127873777774 | 0.693744252444452 | 0.346872126222226 | 1214 | 0.626701673642294 | 0.746596652715411 | 0.373298326357706 | 1215 | 0.599701086790302 | 0.800597826419397 | 0.400298913209698 | 1216 | 0.572263119713143 | 0.855473760573713 | 0.427736880286857 | 1217 | 0.585720740744566 | 0.828558518510868 | 0.414279259255434 | 1218 | 0.557800253357789 | 0.884399493284421 | 0.442199746642211 | 1219 | 0.530441120902461 | 0.939117758195079 | 0.469558879097540 | 1220 | 0.50169339467489 | 0.99661321065022 | 0.49830660532511 | 1221 | 0.474167657862948 | 0.948335315725896 | 0.525832342137052 | 1222 | 0.445520164271132 | 0.891040328542264 | 0.554479835728868 | 1223 | 0.418387642214867 | 0.836775284429734 | 0.581612357785133 | 1224 | 0.43444206303487 | 0.86888412606974 | 0.56555793696513 | 1225 | 0.406621765949714 | 0.813243531899428 | 0.593378234050286 | 1226 | 0.38225475928379 | 0.76450951856758 | 0.61774524071621 | 1227 | 0.354886656943081 | 0.709773313886162 | 0.645113343056919 | 1228 | 0.378096371740986 | 0.756192743481973 | 0.621903628259014 | 1229 | 0.496224247679919 | 0.992448495359838 | 0.503775752320081 | 1230 | 0.466748265287518 | 0.933496530575036 | 0.533251734712482 | 1231 | 0.509994960888436 | 0.980010078223127 | 0.490005039111564 | 1232 | 0.545236577837206 | 0.909526844325589 | 0.454763422162794 | 1233 | 0.679758828808758 | 0.640482342382485 | 0.320241171191242 | 1234 | 0.803783235776134 | 0.392433528447732 | 0.196216764223866 | 1235 | 0.780013924396227 | 0.439972151207547 | 0.219986075603773 | 1236 | 0.754080486255108 | 0.491839027489784 | 0.245919513744892 | 1237 | 0.86690172942825 | 0.266196541143498 | 0.133098270571749 | 1238 | 0.84733801323666 | 0.30532397352668 | 0.15266198676334 | 1239 | 0.933209003701486 | 0.133581992597029 | 0.0667909962985145 | 1240 | 0.92057500030176 | 0.158849999396479 | 0.0794249996982393 | 1241 | 0.968263741795476 | 0.0634725164090483 | 0.0317362582045242 | 1242 | 0.960659141788426 | 0.0786817164231486 | 0.0393408582115743 | 1243 | 0.95177988122166 | 0.0964402375566807 | 0.0482201187783403 | 1244 | 0.941316861195338 | 0.117366277609325 | 0.0586831388046625 | 1245 | 0.947239031958565 | 0.105521936082871 | 0.0527609680414354 | 1246 | 0.935843504892861 | 0.128312990214278 | 0.064156495107139 | 1247 | 0.922194106736273 | 0.155611786527454 | 0.0778058932637269 | 1248 | 0.938194125729083 | 0.123611748541834 | 0.0618058742709169 | 1249 | 0.92563394573704 | 0.148732108525921 | 0.0743660542629607 | 1250 | 0.910253873678862 | 0.179492252642276 | 0.0897461263211379 | 1251 | 0.89253020529622 | 0.214939589407560 | 0.107469794703780 | 1252 | 0.873477824736334 | 0.253044350527333 | 0.126522175263666 | 1253 | 0.853015648948321 | 0.293968702103357 | 0.146984351051678 | 1254 | 0.827740722468594 | 0.344518555062813 | 0.172259277531407 | 1255 | 0.93541124834466 | 0.129177503310680 | 0.0645887516553398 | 1256 | 0.920429518425763 | 0.159140963148475 | 0.0795704815742374 | 1257 | 0.987826066811762 | 0.0243478663764758 | 0.0121739331882379 | 1258 | 0.994591976212358 | 0.0108160475752845 | 0.00540802378764225 | 1259 | 0.998077779975823 | 0.00384444004835305 | 0.00192222002417653 | 1260 | 0.997341832185147 | 0.0053163356297058 | 0.0026581678148529 | 1261 | 0.998919752972838 | 0.00216049405432340 | 0.00108024702716170 | 1262 | 0.999176797769638 | 0.00164640446072426 | 0.000823202230362132 | 1263 | 0.99888526043601 | 0.00222947912797829 | 0.00111473956398914 | 1264 | 0.998470360981852 | 0.00305927803629589 | 0.00152963901814795 | 1265 | 0.997966210054983 | 0.004067579890034 | 0.002033789945017 | 1266 | 0.997033491115199 | 0.00593301776960267 | 0.00296650888480134 | 1267 | 0.99651892279994 | 0.00696215440011882 | 0.00348107720005941 | 1268 | 0.994894195463402 | 0.0102116090731956 | 0.00510580453659781 | 1269 | 0.992522604612713 | 0.014954790774574 | 0.007477395387287 | 1270 | 0.989526958798633 | 0.0209460824027334 | 0.0104730412013667 | 1271 | 0.985159889584911 | 0.0296802208301773 | 0.0148401104150887 | 1272 | 0.979250171964151 | 0.0414996560716976 | 0.0207498280358488 | 1273 | 0.973279395634407 | 0.0534412087311856 | 0.0267206043655928 | 1274 | 0.97143657761552 | 0.057126844768958 | 0.028563422384479 | 1275 | 0.960369944666223 | 0.0792601106675536 | 0.0396300553337768 | 1276 | 0.946682603558838 | 0.106634792882323 | 0.0533173964411615 | 1277 | 0.964494849103715 | 0.0710103017925709 | 0.0355051508962855 | 1278 | 0.998958856974544 | 0.00208228605091283 | 0.00104114302545641 | 1279 | 0.998188818074559 | 0.00362236385088234 | 0.00181118192544117 | 1280 | 0.999605988832133 | 0.000788022335733571 | 0.000394011167866786 | 1281 | 0.999258904380133 | 0.00148219123973390 | 0.000741095619866948 | 1282 | 0.998634456955149 | 0.002731086089702 | 0.001365543044851 | 1283 | 0.997557354805173 | 0.00488529038965292 | 0.00244264519482646 | 1284 | 0.99573289437904 | 0.00853421124191994 | 0.00426710562095997 | 1285 | 0.992730819543533 | 0.0145383609129335 | 0.00726918045646674 | 1286 | 0.988075434830801 | 0.0238491303383979 | 0.0119245651691989 | 1287 | 0.989119317001267 | 0.0217613659974655 | 0.0108806829987327 | 1288 | 0.98450836059321 | 0.0309832788135794 | 0.0154916394067897 | 1289 | 0.974032255920101 | 0.0519354881597974 | 0.0259677440798987 | 1290 | 0.957123396108903 | 0.0857532077821946 | 0.0428766038910973 | 1291 | 0.977615799557428 | 0.0447684008851438 | 0.0223842004425719 | 1292 | 0.9607086190152 | 0.0785827619695992 | 0.0392913809847996 | 1293 | 0.933543851607572 | 0.132912296784856 | 0.066456148392428 | 1294 | 0.891982011195193 | 0.216035977609614 | 0.108017988804807 | 1295 | 0.830830674541302 | 0.338338650917395 | 0.169169325458698 | 1296 | 0.74665169213928 | 0.506696615721441 | 0.253348307860720 | 1297 | 0.638276057549958 | 0.723447884900083 | 0.361723942450042 | 1298 | 0.510458382235472 | 0.979083235529056 | 0.489541617764528 | 1299 | 0.370653581246138 | 0.741307162492275 | 0.629346418753862 | 1300 | 0.233561667696180 | 0.467123335392359 | 0.76643833230382 |
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/t1291315077271yech5drtxx9s/106wo31291314978.png (open in new window) | http://www.freestatistics.org/blog/date/2010/Dec/02/t1291315077271yech5drtxx9s/106wo31291314978.ps (open in new window) |
| http://www.freestatistics.org/blog/date/2010/Dec/02/t1291315077271yech5drtxx9s/1cs1l1291314978.png (open in new window) | http://www.freestatistics.org/blog/date/2010/Dec/02/t1291315077271yech5drtxx9s/1cs1l1291314978.ps (open in new window) |
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| http://www.freestatistics.org/blog/date/2010/Dec/02/t1291315077271yech5drtxx9s/88jzc1291314978.png (open in new window) | http://www.freestatistics.org/blog/date/2010/Dec/02/t1291315077271yech5drtxx9s/88jzc1291314978.ps (open in new window) |
| http://www.freestatistics.org/blog/date/2010/Dec/02/t1291315077271yech5drtxx9s/98jzc1291314978.png (open in new window) | http://www.freestatistics.org/blog/date/2010/Dec/02/t1291315077271yech5drtxx9s/98jzc1291314978.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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