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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 0.284654 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 0.368674 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 0.332634 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 0.368975 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 0.410335 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 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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 0.108514 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 0.135242 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 0.085569 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 0.068501 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 0.09632 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 0.056141 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 0.044539 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 0.05761 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 0.165827 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 0.173218 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 0.141929 187.733 202.324 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1.777901 0.232744 95.385 102.145 90.264 0.00608 0.00006 0.00331 0.00332 0.00994 0.03202 0.263 0.01803 0.01886 0.02455 0.05408 0.01062 21.875 1 0.644954 0.779612 -5.115212 0.249494 2.017753 0.260015 100.77 115.697 85.545 0.01038 0.0001 0.00622 0.00576 0.01865 0.03121 0.361 0.01773 0.01783 0.02139 0.0532 0.0222 19.2 1 0.594387 0.790117 -4.913885 0.265699 2.398422 0.277948 96.106 108.664 84.51 0.00694 0.00007 0.00389 0.00415 0.01168 0.04024 0.364 0.02266 0.02451 0.02876 0.06799 0.01823 19.055 1 0.544805 0.770466 -4.441519 0.155097 2.645959 0.327978 95.605 107.715 87.549 0.00702 0.00007 0.00428 0.00371 0.01283 0.03156 0.296 0.01792 0.01841 0.0219 0.05377 0.01825 19.659 1 0.576084 0.778747 -5.132032 0.210458 2.232576 0.260633 100.96 110.019 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 0.264666 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 0.177275 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 0.242119 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 0.200423 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 0.144614 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 0.220968 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 0.194052 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 0.332086 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 0.301952 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 0.13412 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 0.186489 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 0.160809 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 0.160812 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 0.164916 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 0.151709 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 0.340623 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 0.260375 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 0.378483 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 0.370961 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 0.356881 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 0.444774 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 0.113942 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 0.093193 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 0.112878 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 0.106802 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 0.105306 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 0.11513 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 0.185668 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 0.23252 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 0.13639 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 0.268144 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 0.177807 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 0.115515 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 0.274407 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 0.170106 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 0.28278 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 0.251972 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 0.220657 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 0.152428 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 0.234809 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 0.229892 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 0.215558 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 0.181988 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 0.222716 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 0.214075 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 0.196535 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 0.112856 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 0.183572 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 0.169923 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 0.170633 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 0.232209 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 0.141422 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 0.24308 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 0.228319 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 0.259451 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 0.274387 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 0.209191 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 0.184985 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 0.277227 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 0.231723 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 0.209863 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 0.189032 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 0.159777 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 0.232861 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 0.457533 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 0.336085 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 0.418646 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 0.270173 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 0.301487 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 0.527367 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 0.454721 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 0.168581 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 0.247455 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 0.206256 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 0.220546 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 0.261305 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 0.249703 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 0.216638 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 0.244948 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 0.238281 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 0.22052 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 0.212386 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 0.367233 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 0.119652 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 0.091604 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 0.075587 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 0.202879 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 0.100881 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 0.09622 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 0.160376 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 0.174152 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 0.179677 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 0.163118 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 0.184067 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 0.174429 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 0.132703 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 0.160306 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 0.19273 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 0.144105 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 0.19771 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 0.156368 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 0.215724 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 0.252404 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 0.214346 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 0.120605 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 0.138868 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 0.121777 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 0.112838 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 0.13305 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 0.168895 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 0.131728 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 0.123306 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 0.148569
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 PPE
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$coefficients[i,1] > 0) myeq <- paste(myeq, '+', '') myeq <- paste(myeq, mysum$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') }
Compute
Summary of computational transaction
Raw Input
view raw input (R code)
Raw Output
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Computing time
0 seconds
R Server
Big Analytics Cloud Computing Center
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