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Data X:
119.992 157.302 74.997 0.00784 0.00007 0.0037 0.00554 0.01109 0.04374 0.426 0.02182 0.0313 0.02971 0.06545 0.02211 21.033 1 0.414783 0.815285 -4.813031 0.266482 2.301442 122.4 148.65 113.819 0.00968 0.00008 0.00465 0.00696 0.01394 0.06134 0.626 0.03134 0.04518 0.04368 0.09403 0.01929 19.085 1 0.458359 0.819521 -4.075192 0.33559 2.486855 116.682 131.111 111.555 0.0105 0.00009 0.00544 0.00781 0.01633 0.05233 0.482 0.02757 0.03858 0.0359 0.0827 0.01309 20.651 1 0.429895 0.825288 -4.443179 0.311173 2.342259 116.676 137.871 111.366 0.00997 0.00009 0.00502 0.00698 0.01505 0.05492 0.517 0.02924 0.04005 0.03772 0.08771 0.01353 20.644 1 0.434969 0.819235 -4.117501 0.334147 2.405554 116.014 141.781 110.655 0.01284 0.00011 0.00655 0.00908 0.01966 0.06425 0.584 0.0349 0.04825 0.04465 0.1047 0.01767 19.649 1 0.417356 0.823484 -3.747787 0.234513 2.33218 120.552 131.162 113.787 0.00968 0.00008 0.00463 0.0075 0.01388 0.04701 0.456 0.02328 0.03526 0.03243 0.06985 0.01222 21.378 1 0.415564 0.825069 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0.04322 0.02919 20.376 1 0.631099 0.605417 -2.93107 0.434326 3.007463 153.046 175.829 68.623 0.00742 0.00005 0.00364 0.00432 0.01092 0.05517 0.542 0.02471 0.03572 0.05767 0.07413 0.0316 17.28 1 0.665318 0.719467 -3.949079 0.35787 3.10901 156.405 189.398 142.822 0.00768 0.00005 0.00372 0.00399 0.01116 0.03995 0.348 0.01721 0.02374 0.0431 0.05164 0.03365 17.153 1 0.649554 0.68608 -4.554466 0.340176 2.856676 153.848 165.738 65.782 0.0084 0.00005 0.00428 0.0045 0.01285 0.0381 0.328 0.01667 0.02383 0.04055 0.05 0.03871 17.536 1 0.660125 0.704087 -4.095442 0.262564 2.73971 153.88 172.86 78.128 0.0048 0.00003 0.00232 0.00267 0.00696 0.04137 0.37 0.02021 0.02591 0.04525 0.06062 0.01849 19.493 1 0.629017 0.698951 -5.18696 0.237622 2.557536 167.93 193.221 79.068 0.00442 0.00003 0.0022 0.00247 0.00661 0.04351 0.377 0.02228 0.0254 0.04246 0.06685 0.0128 22.468 1 0.61906 0.679834 -4.330956 0.262384 2.916777 173.917 192.735 86.18 0.00476 0.00003 0.00221 0.00258 0.00663 0.04192 0.364 0.02187 0.0247 0.03772 0.06562 0.0184 20.422 1 0.537264 0.686894 -5.248776 0.210279 2.547508 163.656 200.841 76.779 0.00742 0.00005 0.0038 0.0039 0.0114 0.01659 0.164 0.00738 0.00948 0.01497 0.02214 0.01778 23.831 1 0.397937 0.732479 -5.557447 0.22089 2.692176 104.4 206.002 77.968 0.00633 0.00006 0.00316 0.00375 0.00948 0.03767 0.381 0.01732 0.02245 0.0378 0.05197 0.02887 22.066 1 0.522746 0.737948 -5.571843 0.236853 2.846369 171.041 208.313 75.501 0.00455 0.00003 0.0025 0.00234 0.0075 0.01966 0.186 0.00889 0.01169 0.01872 0.02666 0.01095 25.908 1 0.418622 0.720916 -6.18359 0.226278 2.589702 146.845 208.701 81.737 0.00496 0.00003 0.0025 0.00275 0.00749 0.01919 0.198 0.00883 0.01144 0.01826 0.0265 0.01328 25.119 1 0.358773 0.726652 -6.27169 0.196102 2.314209 155.358 227.383 80.055 0.0031 0.00002 0.00159 0.00176 0.00476 0.01718 0.161 0.00769 0.01012 0.01661 0.02307 0.00677 25.97 1 0.470478 0.676258 -7.120925 0.279789 2.241742 162.568 198.346 77.63 0.00502 0.00003 0.0028 0.00253 0.00841 0.01791 0.168 0.00793 0.01057 0.01799 0.0238 0.0117 25.678 1 0.427785 0.723797 -6.635729 0.209866 1.957961 197.076 206.896 192.055 0.00289 0.00001 0.00166 0.00168 0.00498 0.01098 0.097 0.00563 0.0068 0.00802 0.01689 0.00339 26.775 0 0.422229 0.741367 -7.3483 0.177551 1.743867 199.228 209.512 192.091 0.00241 0.00001 0.00134 0.00138 0.00402 0.01015 0.089 0.00504 0.00641 0.00762 0.01513 0.00167 30.94 0 0.432439 0.742055 -7.682587 0.173319 2.103106 198.383 215.203 193.104 0.00212 0.00001 0.00113 0.00135 0.00339 0.01263 0.111 0.0064 0.00825 0.00951 0.01919 0.00119 30.775 0 0.465946 0.738703 -7.067931 0.175181 1.512275 202.266 211.604 197.079 0.0018 0.000009 0.00093 0.00107 0.00278 0.00954 0.085 0.00469 0.00606 0.00719 0.01407 0.00072 32.684 0 0.368535 0.742133 -7.695734 0.17854 1.544609 203.184 211.526 196.16 0.00178 0.000009 0.00094 0.00106 0.00283 0.00958 0.085 0.00468 0.0061 0.00726 0.01403 0.00065 33.047 0 0.340068 0.741899 -7.964984 0.163519 1.423287 201.464 210.565 195.708 0.00198 0.00001 0.00105 0.00115 0.00314 0.01194 0.107 0.00586 0.0076 0.00957 0.01758 0.00135 31.732 0 0.344252 0.742737 -7.777685 0.170183 2.447064 177.876 192.921 168.013 0.00411 0.00002 0.00233 0.00241 0.007 0.02126 0.189 0.01154 0.01347 0.01612 0.03463 0.00586 23.216 1 0.360148 0.778834 -6.149653 0.218037 2.477082 176.17 185.604 163.564 0.00369 0.00002 0.00205 0.00218 0.00616 0.01851 0.168 0.00938 0.0116 0.01491 0.02814 0.0034 24.951 1 0.341435 0.783626 -6.006414 0.196371 2.536527 180.198 201.249 175.456 0.00284 0.00002 0.00153 0.00166 0.00459 0.01444 0.131 0.00726 0.00885 0.0119 0.02177 0.00231 26.738 1 0.403884 0.766209 -6.452058 0.212294 2.269398 187.733 202.324 173.015 0.00316 0.00002 0.00168 0.00182 0.00504 0.01663 0.151 0.00829 0.01003 0.01366 0.02488 0.00265 26.31 1 0.396793 0.758324 -6.006647 0.266892 2.382544 186.163 197.724 177.584 0.00298 0.00002 0.00165 0.00175 0.00496 0.01495 0.135 0.00774 0.00941 0.01233 0.02321 0.00231 26.822 1 0.32648 0.765623 -6.647379 0.201095 2.374073 184.055 196.537 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110.019 95.628 0.00606 0.00006 0.00351 0.00348 0.01053 0.02427 0.216 0.01371 0.01421 0.01751 0.04114 0.01237 20.536 1 0.55461 0.787896 -5.022288 0.146948 2.428306 98.804 102.305 87.804 0.00432 0.00004 0.00247 0.00258 0.00742 0.02223 0.202 0.01277 0.01343 0.01552 0.03831 0.00882 22.244 1 0.576644 0.772416 -6.025367 0.078202 2.053601 176.858 205.56 75.344 0.00747 0.00004 0.00418 0.0042 0.01254 0.04795 0.435 0.02679 0.03022 0.0351 0.08037 0.0547 13.893 1 0.556494 0.729586 -5.288912 0.343073 3.099301 180.978 200.125 155.495 0.00406 0.00002 0.0022 0.00244 0.00659 0.03852 0.331 0.02107 0.02493 0.02877 0.06321 0.02782 16.176 1 0.583574 0.727747 -5.657899 0.315903 3.098256 178.222 202.45 141.047 0.00321 0.00002 0.00163 0.00194 0.00488 0.03759 0.327 0.02073 0.02415 0.02784 0.06219 0.03151 15.924 1 0.598714 0.712199 -6.366916 0.335753 2.654271 176.281 227.381 125.61 0.0052 0.00003 0.00287 0.00312 0.00862 0.06511 0.58 0.03671 0.04159 0.04683 0.11012 0.04824 13.922 1 0.602874 0.740837 -5.515071 0.299549 3.13655 173.898 211.35 74.677 0.00448 0.00003 0.00237 0.00254 0.0071 0.06727 0.65 0.03788 0.04254 0.04802 0.11363 0.04214 14.739 1 0.599371 0.743937 -5.783272 0.299793 3.007096 179.711 225.93 144.878 0.00709 0.00004 0.00391 0.00419 0.01172 0.04313 0.442 0.02297 0.02768 0.03455 0.06892 0.07223 11.866 1 0.590951 0.745526 -4.379411 0.375531 3.671155 166.605 206.008 78.032 0.00742 0.00004 0.00387 0.00453 0.01161 0.0664 0.634 0.0365 0.04282 0.05114 0.10949 0.08725 11.744 1 0.65341 0.733165 -4.508984 0.389232 3.317586 151.955 163.335 147.226 0.00419 0.00003 0.00224 0.00227 0.00672 0.07959 0.772 0.04421 0.04962 0.0569 0.13262 0.01658 19.664 1 0.501037 0.71436 -6.411497 0.207156 2.344876 148.272 164.989 142.299 0.00459 0.00003 0.0025 0.00256 0.0075 0.0419 0.383 0.02383 0.02521 0.03051 0.0715 0.01914 18.78 1 0.454444 0.734504 -5.952058 0.08784 2.344336 152.125 161.469 76.596 0.00382 0.00003 0.00191 0.00226 0.00574 0.05925 0.637 0.03341 0.03794 0.04398 0.10024 0.01211 20.969 1 0.447456 0.69779 -6.152551 0.17352 2.080121 157.821 172.975 68.401 0.00358 0.00002 0.00196 0.00196 0.00587 0.03716 0.307 0.02062 0.02321 0.02764 0.06185 0.0085 22.219 1 0.50238 0.71217 -6.251425 0.188056 2.143851 157.447 163.267 149.605 0.00369 0.00002 0.00201 0.00197 0.00602 0.03272 0.283 0.01813 0.01909 0.02571 0.05439 0.01018 21.693 1 0.447285 0.705658 -6.247076 0.180528 2.344348 159.116 168.913 144.811 0.00342 0.00002 0.00178 0.00184 0.00535 0.03381 0.307 0.01806 0.02024 0.02809 0.05417 0.00852 22.663 1 0.366329 0.693429 -6.41744 0.194627 2.473239 125.036 143.946 116.187 0.0128 0.0001 0.00743 0.00623 0.02228 0.03886 0.342 0.02135 0.02174 0.03088 0.06406 0.08151 15.338 1 0.629574 0.714485 -4.020042 0.265315 2.671825 125.791 140.557 96.206 0.01378 0.00011 0.00826 0.00655 0.02478 0.04689 0.422 0.02542 0.0263 0.03908 0.07625 0.10323 15.433 1 0.57101 0.690892 -5.159169 0.202146 2.441612 126.512 141.756 99.77 0.01936 0.00015 0.01159 0.0099 0.03476 0.06734 0.659 0.03611 0.03963 0.05783 0.10833 0.16744 12.435 1 0.638545 0.674953 -3.760348 0.242861 2.634633 125.641 141.068 116.346 0.03316 0.00026 0.02144 0.01522 0.06433 0.09178 0.891 0.05358 0.04791 0.06196 0.16074 0.31482 8.867 1 0.671299 0.656846 -3.700544 0.260481 2.991063 128.451 150.449 75.632 0.01551 0.00012 0.00905 0.00909 0.02716 0.0617 0.584 0.03223 0.03672 0.05174 0.09669 0.11843 15.06 1 0.639808 0.643327 -4.20273 0.310163 2.638279 139.224 586.567 66.157 0.03011 0.00022 0.01854 0.01628 0.05563 0.09419 0.93 0.05551 0.05005 0.06023 0.16654 0.2593 10.489 1 0.596362 0.641418 -3.269487 0.270641 2.690917 150.258 154.609 75.349 0.00248 0.00002 0.00105 0.00136 0.00315 0.01131 0.107 0.00522 0.00659 0.01009 0.01567 0.00495 26.759 1 0.296888 0.722356 -6.878393 0.089267 2.004055 154.003 160.267 128.621 0.00183 0.00001 0.00076 0.001 0.00229 0.0103 0.094 0.00469 0.00582 0.00871 0.01406 0.00243 28.409 1 0.263654 0.691483 -7.111576 0.14478 2.065477 149.689 160.368 133.608 0.00257 0.00002 0.00116 0.00134 0.00349 0.01346 0.126 0.0066 0.00818 0.01059 0.01979 0.00578 27.421 1 0.365488 0.719974 -6.997403 0.210279 1.994387 155.078 163.736 144.148 0.00168 0.00001 0.00068 0.00092 0.00204 0.01064 0.097 0.00522 0.00632 0.00928 0.01567 0.00233 29.746 1 0.334171 0.67793 -6.981201 0.18455 2.129924 151.884 157.765 133.751 0.00258 0.00002 0.00115 0.00122 0.00346 0.0145 0.137 0.00633 0.00788 0.01267 0.01898 0.00659 26.833 1 0.393563 0.700246 -6.600023 0.249172 2.499148 151.989 157.339 132.857 0.00174 0.00001 0.00075 0.00096 0.00225 0.01024 0.093 0.00455 0.00576 0.00993 0.01364 0.00238 29.928 1 0.311369 0.676066 -6.739151 0.160686 2.296873 193.03 208.9 80.297 0.00766 0.00004 0.0045 0.00389 0.01351 0.03044 0.275 0.01771 0.01815 0.02084 0.05312 0.00947 21.934 1 0.497554 0.740539 -5.845099 0.278679 2.608749 200.714 223.982 89.686 0.00621 0.00003 0.00371 0.00337 0.01112 0.02286 0.207 0.01192 0.01439 0.01852 0.03576 0.00704 23.239 1 0.436084 0.727863 -5.25832 0.256454 2.550961 208.519 220.315 199.02 0.00609 0.00003 0.00368 0.00339 0.01105 0.01761 0.155 0.00952 0.01058 0.01307 0.02855 0.0083 22.407 1 0.338097 0.712466 -6.471427 0.184378 2.502336 204.664 221.3 189.621 0.00841 0.00004 0.00502 0.00485 0.01506 0.02378 0.21 0.01277 0.01483 0.01767 0.03831 0.01316 21.305 1 0.498877 0.722085 -4.876336 0.212054 2.376749 210.141 232.706 185.258 0.00534 0.00003 0.00321 0.0028 0.00964 0.0168 0.149 0.00861 0.01017 0.01301 0.02583 0.0062 23.671 1 0.441097 0.722254 -5.96304 0.250283 2.489191 206.327 226.355 92.02 0.00495 0.00002 0.00302 0.00246 0.00905 0.02105 0.209 0.01107 0.01284 0.01604 0.0332 0.01048 21.864 1 0.331508 0.715121 -6.729713 0.181701 2.938114 151.872 492.892 69.085 0.00856 0.00006 0.00404 0.00385 0.01211 0.01843 0.235 0.00796 0.00832 0.01271 0.02389 0.06051 23.693 1 0.407701 0.662668 -4.673241 0.261549 2.702355 158.219 442.557 71.948 0.00476 0.00003 0.00214 0.00207 0.00642 0.01458 0.148 0.00606 0.00747 0.01312 0.01818 0.01554 26.356 1 0.450798 0.653823 -6.051233 0.27328 2.640798 170.756 450.247 79.032 0.00555 0.00003 0.00244 0.00261 0.00731 0.01725 0.175 0.00757 0.00971 0.01652 0.0227 0.01802 25.69 1 0.486738 0.676023 -4.597834 0.372114 2.975889 178.285 442.824 82.063 0.00462 0.00003 0.00157 0.00194 0.00472 0.01279 0.129 0.00617 0.00744 0.01151 0.01851 0.00856 25.02 1 0.470422 0.655239 -4.913137 0.393056 2.816781 217.116 233.481 93.978 0.00404 0.00002 0.00127 0.00128 0.00381 0.01299 0.124 0.00679 0.00631 0.01075 0.02038 0.00681 24.581 1 0.462516 0.58271 -5.517173 0.389295 2.925862 128.94 479.697 88.251 0.00581 0.00005 0.00241 0.00314 0.00723 0.02008 0.221 0.00849 0.01117 0.01734 0.02548 0.0235 24.743 1 0.487756 0.68413 -6.186128 0.279933 2.68624 176.824 215.293 83.961 0.0046 0.00003 0.00209 0.00221 0.00628 0.01169 0.117 0.00534 0.0063 0.01104 0.01603 0.01161 27.166 1 0.400088 0.656182 -4.711007 0.281618 2.655744 138.19 203.522 83.34 0.00704 0.00005 0.00406 0.00398 0.01218 0.04479 0.441 0.02587 0.02567 0.0322 0.07761 0.01968 18.305 1 0.538016 0.74148 -5.418787 0.160267 2.090438 182.018 197.173 79.187 0.00842 0.00005 0.00506 0.00449 0.01517 0.02503 0.231 0.01372 0.0158 0.01931 0.04115 0.01813 18.784 1 0.589956 0.732903 -5.44514 0.142466 2.174306 156.239 195.107 79.82 0.00694 0.00004 0.00403 0.00395 0.01209 0.02343 0.224 0.01289 0.0142 0.0172 0.03867 0.0202 19.196 1 0.618663 0.728421 -5.944191 0.143359 1.929715 145.174 198.109 80.637 0.00733 0.00005 0.00414 0.00422 0.01242 0.02362 0.233 0.01235 0.01495 0.01944 0.03706 0.01874 18.857 1 0.637518 0.735546 -5.594275 0.12795 1.765957 138.145 197.238 81.114 0.00544 0.00004 0.00294 0.00327 0.00883 0.02791 0.246 0.01484 0.01805 0.02259 0.04451 0.01794 18.178 1 0.623209 0.738245 -5.540351 0.087165 1.821297 166.888 198.966 79.512 0.00638 0.00004 0.00368 0.00351 0.01104 0.02857 0.257 0.01547 0.01859 0.02301 0.04641 0.01796 18.33 1 0.585169 0.736964 -5.825257 0.115697 1.996146 119.031 127.533 109.216 0.0044 0.00004 0.00214 0.00192 0.00641 0.01033 0.098 0.00538 0.0057 0.00811 0.01614 0.01724 26.842 1 0.457541 0.699787 -6.890021 0.152941 2.328513 120.078 126.632 105.667 0.0027 0.00002 0.00116 0.00135 0.00349 0.01022 0.09 0.00476 0.00588 0.00903 0.01428 0.00487 26.369 1 0.491345 0.718839 -5.892061 0.195976 2.108873 120.289 128.143 100.209 0.00492 0.00004 0.00269 0.00238 0.00808 0.01412 0.125 0.00703 0.0082 0.01194 0.0211 0.0161 23.949 1 0.46716 0.724045 -6.135296 0.20363 2.539724 120.256 125.306 104.773 0.00407 0.00003 0.00224 0.00205 0.00671 0.01516 0.138 0.00721 0.00815 0.0131 0.02164 0.01015 26.017 1 0.468621 0.735136 -6.112667 0.217013 2.527742 119.056 125.213 86.795 0.00346 0.00003 0.00169 0.0017 0.00508 0.01201 0.106 0.00633 0.00701 0.00915 0.01898 0.00903 23.389 1 0.470972 0.721308 -5.436135 0.254909 2.51632 118.747 123.723 109.836 0.00331 0.00003 0.00168 0.00171 0.00504 0.01043 0.099 0.0049 0.00621 0.00903 0.01471 0.00504 25.619 1 0.482296 0.723096 -6.448134 0.178713 2.034827 106.516 112.777 93.105 0.00589 0.00006 0.00291 0.00319 0.00873 0.04932 0.441 0.02683 0.03112 0.03651 0.0805 0.03031 17.06 1 0.637814 0.744064 -5.301321 0.320385 2.375138 110.453 127.611 105.554 0.00494 0.00004 0.00244 0.00315 0.00731 0.04128 0.379 0.02229 0.02592 0.03316 0.06688 0.02529 17.707 1 0.653427 0.706687 -5.333619 0.322044 2.631793 113.4 133.344 107.816 0.00451 0.00004 0.00219 0.00283 0.00658 0.04879 0.431 0.02385 0.02973 0.0437 0.07154 0.02278 19.013 1 0.6479 0.708144 -4.378916 0.300067 2.445502 113.166 130.27 100.673 0.00502 0.00004 0.00257 0.00312 0.00772 0.05279 0.476 0.02896 0.03347 0.04134 0.08689 0.0369 16.747 1 0.625362 0.708617 -4.654894 0.304107 2.672362 112.239 126.609 104.095 0.00472 0.00004 0.00238 0.0029 0.00715 0.05643 0.517 0.0307 0.0353 0.04451 0.09211 0.02629 17.366 1 0.640945 0.701404 -5.634576 0.306014 2.419253 116.15 131.731 109.815 0.00381 0.00003 0.00181 0.00232 0.00542 0.03026 0.267 0.01514 0.01812 0.0277 0.04543 0.01827 18.801 1 0.624811 0.696049 -5.866357 0.23307 2.445646 170.368 268.796 79.543 0.00571 0.00003 0.00232 0.00269 0.00696 0.03273 0.281 0.01713 0.01964 0.02824 0.05139 0.02485 18.54 1 0.677131 0.685057 -4.796845 0.397749 2.963799 208.083 253.792 91.802 0.00757 0.00004 0.00428 0.00428 0.01285 0.06725 0.571 0.04016 0.04003 0.04464 0.12047 0.04238 15.648 1 0.606344 0.665945 -5.410336 0.288917 2.665133 198.458 219.29 148.691 0.00376 0.00002 0.00182 0.00215 0.00546 0.03527 0.297 0.02055 0.02076 0.0253 0.06165 0.01728 18.702 1 0.606273 0.661735 -5.585259 0.310746 2.465528 202.805 231.508 86.232 0.0037 0.00002 0.00189 0.00211 0.00568 0.01997 0.18 0.01117 0.01177 0.01506 0.0335 0.0201 18.687 1 0.536102 0.632631 -5.898673 0.213353 2.470746 202.544 241.35 164.168 0.00254 0.00001 0.001 0.00133 0.00301 0.02662 0.228 0.01475 0.01558 0.02006 0.04426 0.01049 20.68 1 0.49748 0.630409 -6.132663 0.220617 2.576563 223.361 263.872 87.638 0.00352 0.00002 0.00169 0.00188 0.00506 0.02536 0.225 0.01379 0.01478 0.01909 0.04137 0.01493 20.366 1 0.566849 0.574282 -5.456811 0.345238 2.840556 169.774 191.759 151.451 0.01568 0.00009 0.00863 0.00946 0.02589 0.08143 0.821 0.03804 0.05426 0.08808 0.11411 0.0753 12.359 1 0.56161 0.793509 -3.297668 0.414758 3.413649 183.52 216.814 161.34 0.01466 0.00008 0.00849 0.00819 0.02546 0.0605 0.618 0.02865 0.04101 0.06359 0.08595 0.06057 14.367 1 0.478024 0.768974 -4.276605 0.355736 3.142364 188.62 216.302 165.982 0.01719 0.00009 0.00996 0.01027 0.02987 0.07118 0.722 0.03474 0.0458 0.06824 0.10422 0.08069 12.298 1 0.55287 0.764036 -3.377325 0.335357 3.274865 202.632 565.74 177.258 0.01627 0.00008 0.00919 0.00963 0.02756 0.0717 0.833 0.03515 0.04265 0.0646 0.10546 0.07889 14.989 1 0.427627 0.775708 -4.892495 0.262281 2.910213 186.695 211.961 149.442 0.01872 0.0001 0.01075 0.01154 0.03225 0.0583 0.784 0.02699 0.03714 0.06259 0.08096 0.10952 12.529 1 0.507826 0.762726 -4.484303 0.340256 2.958815 192.818 224.429 168.793 0.03107 0.00016 0.018 0.01958 0.05401 0.11908 1.302 0.05647 0.0794 0.13778 0.16942 0.21713 8.441 1 0.625866 0.76832 -2.434031 0.450493 3.079221 198.116 233.099 174.478 0.02714 0.00014 0.01568 0.01699 0.04705 0.08684 1.018 0.04284 0.05556 0.08318 0.12851 0.16265 9.449 1 0.584164 0.754449 -2.839756 0.356224 3.184027 121.345 139.644 98.25 0.00684 0.00006 0.00388 0.00332 0.01164 0.02534 0.241 0.0134 0.01399 0.02056 0.04019 0.04179 21.52 1 0.566867 0.670475 -4.865194 0.246404 2.01353 119.1 128.442 88.833 0.00692 0.00006 0.00393 0.003 0.01179 0.02682 0.236 0.01484 0.01405 0.02018 0.04451 0.04611 21.824 1 0.65168 0.659333 -4.239028 0.175691 2.45113 117.87 127.349 95.654 0.00647 0.00005 0.00356 0.003 0.01067 0.03087 0.276 0.01659 0.01804 0.02402 0.04977 0.02631 22.431 1 0.6283 0.652025 -3.583722 0.207914 2.439597 122.336 142.369 94.794 0.00727 0.00006 0.00415 0.00339 0.01246 0.02293 0.223 0.01205 0.01289 0.01771 0.03615 0.03191 22.953 1 0.611679 0.623731 -5.4351 0.230532 2.699645 117.963 134.209 100.757 0.01813 0.00015 0.01117 0.00718 0.03351 0.04912 0.438 0.0261 0.02161 0.02916 0.0783 0.10748 19.075 1 0.630547 0.646786 -3.444478 0.303214 2.964568 126.144 154.284 97.543 0.00975 0.00008 0.00593 0.00454 0.01778 0.02852 0.266 0.015 0.01581 0.02157 0.04499 0.03828 21.534 1 0.635015 0.627337 -5.070096 0.280091 2.8923 127.93 138.752 112.173 0.00605 0.00005 0.00321 0.00318 0.00962 0.03235 0.339 0.0136 0.0165 0.03105 0.04079 0.02663 19.651 1 0.654945 0.675865 -5.498456 0.234196 2.103014 114.238 124.393 77.022 0.00581 0.00005 0.00299 0.00316 0.00896 0.04009 0.406 0.01579 0.01994 0.04114 0.04736 0.02073 20.437 1 0.653139 0.694571 -5.185987 0.259229 2.151121 115.322 135.738 107.802 0.00619 0.00005 0.00352 0.00329 0.01057 0.03273 0.325 0.01644 0.01722 0.02931 0.04933 0.0281 19.388 1 0.577802 0.684373 -5.283009 0.226528 2.442906 114.554 126.778 91.121 0.00651 0.00006 0.00366 0.0034 0.01097 0.03658 0.369 0.01864 0.0194 0.03091 0.05592 0.02707 18.954 1 0.685151 0.719576 -5.529833 0.24275 2.408689 112.15 131.669 97.527 0.00519 0.00005 0.00291 0.00284 0.00873 0.01756 0.155 0.00967 0.01033 0.01363 0.02902 0.01435 21.219 1 0.557045 0.673086 -5.617124 0.184896 1.871871 102.273 142.83 85.902 0.00907 0.00009 0.00493 0.00461 0.0148 0.02814 0.272 0.01579 0.01553 0.02073 0.04736 0.03882 18.447 1 0.671378 0.674562 -2.929379 0.396746 2.560422 236.2 244.663 102.137 0.00277 0.00001 0.00154 0.00153 0.00462 0.02448 0.217 0.0141 0.01426 0.01621 0.04231 0.0062 24.078 0 0.469928 0.628232 -6.816086 0.17227 2.235197 237.323 243.709 229.256 0.00303 0.00001 0.00173 0.00159 0.00519 0.01242 0.116 0.00696 0.00747 0.00882 0.02089 0.00533 24.679 0 0.384868 0.62671 -7.018057 0.176316 1.852402 260.105 264.919 237.303 0.00339 0.00001 0.00205 0.00186 0.00616 0.0203 0.197 0.01186 0.0123 0.01367 0.03557 0.0091 21.083 0 0.440988 0.628058 -7.517934 0.160414 1.881767 197.569 217.627 90.794 0.00803 0.00004 0.0049 0.00448 0.0147 0.02177 0.189 0.01279 0.01272 0.01439 0.03836 0.01337 19.269 0 0.372222 0.725216 -5.736781 0.164529 2.88245 240.301 245.135 219.783 0.00517 0.00002 0.00316 0.00283 0.00949 0.02018 0.212 0.01176 0.01191 0.01344 0.03529 0.00965 21.02 0 0.371837 0.646167 -7.169701 0.073298 2.266432 244.99 272.21 239.17 0.00451 0.00002 0.00279 0.00237 0.00837 0.01897 0.181 0.01084 0.01121 0.01255 0.03253 0.01049 21.528 0 0.522812 0.646818 -7.3045 0.171088 2.095237 112.547 133.374 105.715 0.00355 0.00003 0.00166 0.0019 0.00499 0.01358 0.129 0.00664 0.00786 0.0114 0.01992 0.00435 26.436 0 0.413295 0.7567 -6.323531 0.218885 2.193412 110.739 113.597 100.139 0.00356 0.00003 0.0017 0.002 0.0051 0.01484 0.133 0.00754 0.0095 0.01285 0.02261 0.0043 26.55 0 0.36909 0.776158 -6.085567 0.192375 1.889002 113.715 116.443 96.913 0.00349 0.00003 0.00171 0.00203 0.00514 0.01472 0.133 0.00748 0.00905 0.01148 0.02245 0.00478 26.547 0 0.380253 0.7667 -5.943501 0.19215 1.852542 117.004 144.466 99.923 0.00353 0.00003 0.00176 0.00218 0.00528 0.01657 0.145 0.00881 0.01062 0.01318 0.02643 0.0059 25.445 0 0.387482 0.756482 -6.012559 0.229298 1.872946 115.38 123.109 108.634 0.00332 0.00003 0.0016 0.00199 0.0048 0.01503 0.137 0.00812 0.00933 0.01133 0.02436 0.00401 26.005 0 0.405991 0.761255 -5.966779 0.197938 1.974857 116.388 129.038 108.97 0.00346 0.00003 0.00169 0.00213 0.00507 0.01725 0.155 0.00874 0.01021 0.01331 0.02623 0.00415 26.143 0 0.361232 0.763242 -6.016891 0.109256 2.004719 151.737 190.204 129.859 0.00314 0.00002 0.00135 0.00162 0.00406 0.01469 0.132 0.00728 0.00886 0.0123 0.02184 0.0057 24.151 1 0.39661 0.745957 -6.486822 0.197919 2.449763 148.79 158.359 138.99 0.00309 0.00002 0.00152 0.00186 0.00456 0.01574 0.142 0.00839 0.00956 0.01309 0.02518 0.00488 24.412 1 0.402591 0.762508 -6.311987 0.182459 2.251553 148.143 155.982 135.041 0.00392 0.00003 0.00204 0.00231 0.00612 0.0145 0.131 0.00725 0.00876 0.01263 0.02175 0.0054 23.683 1 0.398499 0.778349 -5.711205 0.240875 2.845109 150.44 163.441 144.736 0.00396 0.00003 0.00206 0.00233 0.00619 0.02551 0.237 0.01321 0.01574 0.02148 0.03964 0.00611 23.133 1 0.352396 0.75932 -6.261446 0.183218 2.264226 148.462 161.078 141.998 0.00397 0.00003 0.00202 0.00235 0.00605 0.01831 0.163 0.0095 0.01103 0.01559 0.02849 0.00639 22.866 1 0.408598 0.768845 -5.704053 0.216204 2.679185 149.818 163.417 144.786 0.00336 0.00002 0.00174 0.00198 0.00521 0.02145 0.198 0.01155 0.01341 0.01666 0.03464 0.00595 23.008 1 0.329577 0.75718 -6.27717 0.109397 2.209021 117.226 123.925 106.656 0.00417 0.00004 0.00186 0.0027 0.00558 0.01909 0.171 0.00864 0.01223 0.01949 0.02592 0.00955 23.079 0 0.603515 0.669565 -5.61907 0.191576 2.027228 116.848 217.552 99.503 0.00531 0.00005 0.0026 0.00346 0.0078 0.01795 0.163 0.0081 0.01144 0.01756 0.02429 0.01179 22.085 0 0.663842 0.656516 -5.198864 0.206768 2.120412 116.286 177.291 96.983 0.00314 0.00003 0.00134 0.00192 0.00403 0.01564 0.136 0.00667 0.0099 0.01691 0.02001 0.00737 24.199 0 0.598515 0.654331 -5.592584 0.133917 2.058658 116.556 592.03 86.228 0.00496 0.00004 0.00254 0.00263 0.00762 0.0166 0.154 0.0082 0.00972 0.01491 0.0246 0.01397 23.958 0 0.566424 0.667654 -6.431119 0.15331 2.161936 116.342 581.289 94.246 0.00267 0.00002 0.00115 0.00148 0.00345 0.013 0.117 0.00631 0.00789 0.01144 0.01892 0.0068 25.023 0 0.528485 0.663884 -6.359018 0.116636 2.152083 114.563 119.167 86.647 0.00327 0.00003 0.00146 0.00184 0.00439 0.01185 0.106 0.00557 0.00721 0.01095 0.01672 0.00703 24.775 0 0.555303 0.659132 -6.710219 0.149694 1.91399 201.774 262.707 78.228 0.00694 0.00003 0.00412 0.00396 0.01235 0.02574 0.255 0.01454 0.01582 0.01758 0.04363 0.04441 19.368 0 0.508479 0.683761 -6.934474 0.15989 2.316346 174.188 230.978 94.261 0.00459 0.00003 0.00263 0.00259 0.0079 0.04087 0.405 0.02336 0.02498 0.02745 0.07008 0.02764 19.517 0 0.448439 0.657899 -6.538586 0.121952 2.657476 209.516 253.017 89.488 0.00564 0.00003 0.00331 0.00292 0.00994 0.02751 0.263 0.01604 0.01657 0.01879 0.04812 0.0181 19.147 0 0.431674 0.683244 -6.195325 0.129303 2.784312 174.688 240.005 74.287 0.0136 0.00008 0.00624 0.00564 0.01873 0.02308 0.256 0.01268 0.01365 0.01667 0.03804 0.10715 17.883 0 0.407567 0.655683 -6.787197 0.158453 2.679772 198.764 396.961 74.904 0.0074 0.00004 0.0037 0.0039 0.01109 0.02296 0.241 0.01265 0.01321 0.01588 0.03794 0.07223 19.02 0 0.451221 0.643956 -6.744577 0.207454 2.138608 214.289 260.277 77.973 0.00567 0.00003 0.00295 0.00317 0.00885 0.01884 0.19 0.01026 0.01161 0.01373 0.03078 0.04398 21.209 0 0.462803 0.664357 -5.724056 0.190667 2.555477
Names of X columns:
MDVP:Fo(Hz) MDVP:Fhi(Hz) MDVP:Flo(Hz) MDVP:Jitter(%) MDVP:Jitter(Abs) MDVP:RAP MDVP:PPQ Jitter:DDP MDVP:Shimmer MDVP:Shimmer(dB) Shimmer:APQ3 Shimmer:APQ5 MDVP:APQ Shimmer:DDA NHR HNR status RPDE DFA spread1 spread2 D2
Sample Range:
(leave blank to include all observations)
From:
To:
Column Number of Endogenous Series
(?)
Fixed Seasonal Effects
Do not include Seasonal Dummies
Do not include Seasonal Dummies
Include Seasonal Dummies
Type of Equation
No Linear Trend
No Linear Trend
Linear Trend
First Differences
Seasonal Differences (s)
First and Seasonal Differences (s)
Degree of Predetermination (lagged endogenous variables)
Degree of Seasonal Predetermination
Seasonality
12
1
2
3
4
5
6
7
8
9
10
11
12
Chart options
R Code
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$coefficients[i,1] > 0) myeq <- paste(myeq, '+', '') myeq <- paste(myeq, signif(mysum$coefficients[i,1],6), 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,signif(mysum$coefficients[i,1],6)) a<-table.element(a, signif(mysum$coefficients[i,2],6)) a<-table.element(a, signif(mysum$coefficients[i,3],4)) a<-table.element(a, signif(mysum$coefficients[i,4],6)) a<-table.element(a, signif(mysum$coefficients[i,4]/2,6)) a<-table.row.end(a) } a<-table.end(a) table.save(a,file='mytable2.tab') a<-table.start() a<-table.row.start(a) a<-table.element(a, 'Multiple Linear Regression - Regression Statistics', 2, TRUE) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a, 'Multiple R',1,TRUE) a<-table.element(a, signif(sqrt(mysum$r.squared),6)) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a, 'R-squared',1,TRUE) a<-table.element(a, signif(mysum$r.squared,6)) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a, 'Adjusted R-squared',1,TRUE) a<-table.element(a, signif(mysum$adj.r.squared,6)) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a, 'F-TEST (value)',1,TRUE) a<-table.element(a, signif(mysum$fstatistic[1],6)) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a, 'F-TEST (DF numerator)',1,TRUE) a<-table.element(a, signif(mysum$fstatistic[2],6)) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a, 'F-TEST (DF denominator)',1,TRUE) a<-table.element(a, signif(mysum$fstatistic[3],6)) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a, 'p-value',1,TRUE) a<-table.element(a, signif(1-pf(mysum$fstatistic[1],mysum$fstatistic[2],mysum$fstatistic[3]),6)) 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, signif(mysum$sigma,6)) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a, 'Sum Squared Residuals',1,TRUE) a<-table.element(a, signif(sum(myerror*myerror),6)) a<-table.row.end(a) a<-table.end(a) table.save(a,file='mytable3.tab') a<-table.start() a<-table.row.start(a) a<-table.element(a, 'Multiple Linear Regression - Actuals, Interpolation, and Residuals', 4, TRUE) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a, 'Time or Index', 1, TRUE) a<-table.element(a, 'Actuals', 1, TRUE) a<-table.element(a, 'Interpolation<br />Forecast', 1, TRUE) a<-table.element(a, 'Residuals<br />Prediction Error', 1, TRUE) a<-table.row.end(a) for (i in 1:n) { a<-table.row.start(a) a<-table.element(a,i, 1, TRUE) a<-table.element(a,signif(x[i],6)) a<-table.element(a,signif(x[i]-mysum$resid[i],6)) a<-table.element(a,signif(mysum$resid[i],6)) 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,signif(gqarr[mypoint-kp3+1,1],6)) a<-table.element(a,signif(gqarr[mypoint-kp3+1,2],6)) a<-table.element(a,signif(gqarr[mypoint-kp3+1,3],6)) 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,signif(numsignificant1,6)) a<-table.element(a,signif(numsignificant1/numgqtests,6)) 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,signif(numsignificant5,6)) a<-table.element(a,signif(numsignificant5/numgqtests,6)) 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,signif(numsignificant10,6)) a<-table.element(a,signif(numsignificant10/numgqtests,6)) 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') }
Compute
Summary of computational transaction
Raw Input
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Raw Output
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Computing time
0 seconds
R Server
Big Analytics Cloud Computing Center
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