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54.2136 107.547742 + 116.106 299.102890 + 14.3332 20.479493 + 144.909 14.952535 + 25.9761 268.149429 + 12.3536 4.526119 + 104.665 91.264814 + 209.33 196.452926 + 4.81212 1.387719 + 50.733 118.633179 + 212.529 37.744725 + 30.1025 320.669960 + 0 41.450044 + 141.123 405.347359 + 12.8752 117.612150 + 8.98989 74.655250 + 89.5664 37.992598 + 40.5997 37.339465 + 142.929 9.122607 + 53.4638 93.289532 + 57.1553 19.139209 + 5.49147 85.213352 + 170.643 90.453986 + 57.8107 7.372961 + 9.61494 1.846687 + 17.6469 153.910670 + 119.836 5.010210 + 2.69196 379.300890 + 13.4972 2.462250 + 19.7182 200.667783 + 93.6182 25.650544 + 26.3448 65.285854 + 21.5148 176.510003 + 1898.88 91.241365 + 304.552 6.355976 + 3.43944 158.859588 + 187.802 26.561371 + 8.65791 110.316703 + 21.2866 8.028500 + 76.9769 148.320170 + 97.1784 6.713123 + 88.6313 333.404629 + 27.8383 11.662869 + 0 71.250154 + 0.369757 10.360736 + 3.85509 81.568715 + 54.6366 23.501931 + 90.4466 57.162095 + 162.85 305.874565 + 6.3233 59.415851 + 46.9662 56.660855 + 815.675 47.723188 + 277.021 328.086215 + 113.59 11.709047 + 33.9699 0.913379 + 122.672 59.978744 + 7.49106 12.504248 + 24.2085 400.110964 + 263.576 25.930889 + 36.8953 254.783774 + 6.87014 12.625935 + 23.7836 3.159890 + 5.15183 0.000000 + 106.766 15.783445 + 30.7013 64.989933 + 43.088 31.124285 + 5.17176 48.085148 + 5.34789 2.124571 + 0.0820775 21.635603 + 52.0571 25.625192 + 9.75023 36.202865 + 4.62665 3.190574 + 9.57829 6.374896 + 3.68445 5.784829 + 8.23676 6.872598 + 41.3048 1.988474 + 7.57132 1.231125 + 5.08109 21.547440 + 30.2999 45.503740 + 9.09391 10.369658 + 7.12594 14.133228 + 26.1024 5.071976 + 12.0853 0.713469 + 0.675086 4.092547 + 7.4541 184.663991 + 10.4554 7.448129 + 6.24252 8.860180 + 39.992 6.891026 + 5.16071 15.489599 + 5.59047 27.378151 + 10.8012 23.750968 + 11.4263 8.473236 + 6.89837 3.416283 + 208.747 12.158394 + 3.56316 4.158866 + 0 1.847873 + 8.47882 1.277897 + 0.0353056 0.070611 + 0.0353056 3.039279 + 0 4.205715 + 30.0949 20.128055 + 5.77372 31.539990 + 147.387 18.314164 + 32.846 14.511067 + 19.2355 0.000000 + min: 0.000000 + max: 1898.884523 + mean: 67.928804 + std: 145.954386 \ No newline at end of file diff --git a/ТЕМА2/report.md.txt b/ТЕМА2/report.md.txt new file mode 100644 index 0000000..a260ec7 --- /dev/null +++ b/ТЕМА2/report.md.txt @@ -0,0 +1,548 @@ +#Вторая лаба отчет + +###Читаю файл и проверяю размер матрицы + +XX=load('dan_vuz.txt') +size(XX) + +ans = + + 290 15 + +>> + +###Данные о скольких вузах России представлены в этой матрице? + +290 + +###Выделите в отдельную матрицу данные о показателях результативности: + +X=XX(:,3:13) + +###Рассчитайте матрицу корреляций между показателями результативности: + +R=corr(X) + +R = + + Columns 1 through 10: + + 1.0000e+00 4.4320e-01 4.5229e-01 4.4779e-01 3.8123e-01 4.6516e-01 3.1487e-01 6.5579e-02 2.9153e-01 4.8811e-01 + 4.4320e-01 1.0000e+00 8.5319e-01 8.5331e-01 8.6240e-01 8.5436e-01 5.5145e-01 2.5082e-02 4.2348e-01 8.2170e-01 + 4.5229e-01 8.5319e-01 1.0000e+00 8.4660e-01 8.8651e-01 9.0335e-01 5.5091e-01 3.8840e-03 4.4396e-01 7.8358e-01 + 4.4779e-01 8.5331e-01 8.4660e-01 1.0000e+00 8.7038e-01 9.3849e-01 7.0924e-01 4.9500e-02 4.5873e-01 8.5183e-01 + 3.8123e-01 8.6240e-01 8.8651e-01 8.7038e-01 1.0000e+00 9.3605e-01 5.7668e-01 3.7562e-02 3.8322e-01 7.7266e-01 + 4.6516e-01 8.5436e-01 9.0335e-01 9.3849e-01 9.3605e-01 1.0000e+00 6.3033e-01 4.7121e-02 4.7592e-01 8.3810e-01 + 3.1487e-01 5.5145e-01 5.5091e-01 7.0924e-01 5.7668e-01 6.3033e-01 1.0000e+00 7.9448e-02 4.1878e-01 6.2936e-01 + 6.5579e-02 2.5082e-02 3.8840e-03 4.9500e-02 3.7562e-02 4.7121e-02 7.9448e-02 1.0000e+00 4.7985e-02 5.6462e-02 + 2.9153e-01 4.2348e-01 4.4396e-01 4.5873e-01 3.8322e-01 4.7592e-01 4.1878e-01 4.7985e-02 1.0000e+00 6.2616e-01 + 4.8811e-01 8.2170e-01 7.8358e-01 8.5183e-01 7.7266e-01 8.3810e-01 6.2936e-01 5.6462e-02 6.2616e-01 1.0000e+00 + 3.9815e-01 2.6183e-01 2.6408e-01 3.4420e-01 1.8751e-01 3.3118e-01 2.8287e-01 1.3662e-01 4.5537e-01 3.8799e-01 + + Column 11: + + 3.9815e-01 + 2.6183e-01 + 2.6408e-01 + 3.4420e-01 + 1.8751e-01 + 3.3118e-01 + 2.8287e-01 + 1.3662e-01 + 4.5537e-01 + 3.8799e-01 + 1.0000e+00 + +>> + +###Пусть для исследования результативности применяется метод главных компонент, основу которого составляет получение собственных значений и собственных векторов от квадратичной формы: + +[vect,lambda]=eig(X'*X) + +lambda = + +Diagonal Matrix + + Columns 1 through 10: + + 2.2947e+01 0 0 0 0 0 0 0 0 0 + 0 1.9317e+03 0 0 0 0 0 0 0 0 + 0 0 2.5940e+03 0 0 0 0 0 0 0 + 0 0 0 3.4573e+03 0 0 0 0 0 0 + 0 0 0 0 5.6252e+03 0 0 0 0 0 + 0 0 0 0 0 8.6721e+03 0 0 0 0 + 0 0 0 0 0 0 1.8915e+04 0 0 0 + 0 0 0 0 0 0 0 4.7523e+04 0 0 + 0 0 0 0 0 0 0 0 5.7484e+04 0 + 0 0 0 0 0 0 0 0 0 2.2565e+05 + 0 0 0 0 0 0 0 0 0 0 + + Column 11: + + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 7.4946e+06 + +>> + +Sobst=diag(lambda); + +###Представьте их на экране с заголовком: + +fprintf('Eigenvalues:\n %f \n',Sobst) + +Eigenvalues: + 22.946585 +Eigenvalues: + 1931.665464 +Eigenvalues: + 2593.979592 +Eigenvalues: + 3457.339562 +Eigenvalues: + 5625.151474 +Eigenvalues: + 8672.065947 +Eigenvalues: + 18914.627989 +Eigenvalues: + 47522.678185 +Eigenvalues: + 57483.681267 +Eigenvalues: + 225653.068540 +Eigenvalues: + 7494628.795394 +>> + +###Выделите наибольшее собственное значение и соответствующий ему собственный вектор: + +>> SobMax=Sobst(end) +SobMax = 7.4946e+06 + + 뫤גּ>> GlComp=vect(:,end) +GlComp = + + 3.5306e-02 + 4.6772e-02 + 4.8953e-02 + 6.1556e-01 + 2.4277e-01 + 7.3685e-01 + 9.5893e-02 + 1.6945e-04 + 1.7911e-02 + 5.9523e-02 + 1.7425e-02 + +>> + +###Рассчитайте долю информации о результативности НИР, содержащуюся в главной компоненте и отобразите ее на экране: + +>> Delt=100*SobMax/sum(Sobst) +Delt = 95.273 + +܀>> fprintf('Delta= %d \n ',round(Delt)) +Delta= 95 + +###С использованием главной компоненты рассчитайте оценки обобщенной результативности в каждом из представленных в матрице вузов и отобразите ее с указанием кода вуза: + +Res=X*GlComp +fprintf(' Results \n ') +fprintf('%d %f \n ',[XX(:,1),Res] ') + +получаю вывод формата Results \n {results} + +###Сохраните вектор оценок результативности в отдельном бинарном (mat) файле: + +save res.mat Res -mat + +в рабочей папке появляется файл res.mat + +###Представьте распределение оценок результативности в виде гистограммы с 20 интервалами и с обозначением осей: + +xlabel('Results ') +ylabel('Number of Unis ') +hist(Res,20) + +вставить фото photos/plot1.png + +saveas(gcf, 'Hist.jpg ', 'jpg ') + +в папке появлися новый файл Hist + +###Наконец, рассчитайте и отобразите оценку корреляции обобщенной результативности с финансированием, выделенным на проведение НИР: + +CorFin=corr(Res,XX(:,2)) +fprintf('Correlation of Results and Money = %f \n',CorFin) + +Вывод: + +Correlation of Results and Money = 0.843710 +>> + +##Пункт 3 + +Создаю файл, содержащий такие строки: + +warning('off', 'all') +graphics_toolkit('gnuplot') +XX=load('dan_vuz.txt') +X=XX(:,3:13) +R=corr(X) +[vect,lambda]=eig(X'*X) +Sobst=diag(lambda); +SobMax=Sobst(end) +GlComp=vect(:,end) +Delt=100*SobMax/sum(Sobst) +Res=X*GlComp +xlabel('Results ') +ylabel('Number of Unis ')) +hist(Res,20) +saveas(gcf, 'Hist.jpg ', 'jpg ') + +выводы в консили совпадают с теми, что были ранее, рисунок так же совпадает + +вставить Hist.jpeg + +##4 Пункт + +Я поставил ; в конце каждой строки скрипта и добавил отладочный принт, чтобы точно видеть завершение работы программы и отсутствие других выводов fprintf('Выполнение завершено') + +>> tri --> мой файл + +DEBUG: FC_WEIGHT didn't match --> такая ошибка уже была, ниче страшного +Выполнение завершено>> + +##5 пункт + +сделал все выводы в файл + +warning('off', 'all'); +graphics_toolkit('gnuplot'); +fp=fopen('prtcl.txt ','w') +XX=load('dan_vuz.txt'); +X=XX(:,3:13); +R=corr(X); +[vect,lambda]=eig(X'*X); +Sobst=diag(lambda); +fprintf(fp,'Eigenvalues:\n %f \n',Sobst) +fprintf(fp, '\n') +SobMax=Sobst(end); +GlComp=vect(:,end); +Delt=100*SobMax/sum(Sobst); +fprintf(fp, 'Delta= %d \n ',round(Delt)) +Res=X*GlComp; +fprintf(fp, ' Results \n ') +fprintf(fp, '%d %f \n ',[XX(:,1),Res] ') +hist(Res,20); +xlabel('Results '); +ylabel('Number of Unis '); +saveas(gcf, 'Hist.jpg ', 'jpg '); +fclose(fp) + +файл: +Eigenvalues: + 22.946585 +Eigenvalues: + 1931.665464 +Eigenvalues: + 2593.979592 +Eigenvalues: + 3457.339562 +Eigenvalues: + 5625.151474 +Eigenvalues: + 8672.065947 +Eigenvalues: + 18914.627989 +Eigenvalues: + 47522.678185 +Eigenvalues: + 57483.681267 +Eigenvalues: + 225653.068540 +Eigenvalues: + 7494628.795394 + +Delta= 95 + Results + 197 92.541636 + 198 73.432513 + 199 5.885468 + 200 35.300393 + 201 70.208100 + 202 28.096191 + 203 87.136298 + 204 79.776499 + 205 36.243011 + 206 18.249808 + 207 49.666520 + 208 45.067095 + 209 81.785392 + 210 5.555862 + 211 105.361366 + 212 4.575460 + 213 381.204021 + 214 26.712747 + 216 8.037618 + 217 119.627795 + 218 10.061485 + 219 63.762947 + 220 9.087658 + 221 41.684105 + 222 35.907417 + 223 76.139589 + 224 23.752550 + 225 142.216169 + 226 67.755801 + 227 20.597788 + 228 76.818771 + 229 104.284923 + 230 18.541601 + 231 4.473983 + 232 3.580878 + 233 224.758597 + 234 26.863645 + 235 212.911324 + 236 50.921549 + 237 33.628254 + 238 42.168327 + 239 103.701129 + 240 136.060809 + 241 713.711764 + 242 34.027235 + 245 4.102289 + 246 27.086730 + 247 2.667541 + 248 2.497556 + 252 103.829221 + 253 7.460715 + 256 34.755449 + 257 4.359736 + 258 5.741187 + 259 15.989432 + 261 45.399798 + 264 2.462250 + 267 6.424390 + 268 66.503024 + 273 73.935542 + 275 11.130530 + 296 3.684256 + 304 9.970486 + 305 28.031419 + 311 1.352414 + 318 40.905330 + 322 11.722703 + 325 30.793455 + 326 42.716264 + 329 10.023429 + 330 32.260491 + 334 25.495269 + 335 36.870098 + 336 42.948416 + 339 87.963238 + 340 228.668981 + 341 99.146097 + 342 28.749899 + 343 9.622160 + 346 1.359974 + 347 54.213640 + 348 107.547742 + 349 116.106427 + 352 299.102890 + 356 14.333164 + 357 20.479493 + 362 144.908794 + 365 14.952535 + 366 25.976099 + 371 268.149429 + 372 12.353605 + 373 4.526119 + 376 104.664655 + 377 91.264814 + 379 209.329940 + 381 196.452926 + 383 4.812125 + 387 1.387719 + 388 50.732954 + 389 118.633179 + 391 212.528679 + 392 37.744725 + 393 30.102473 + 394 320.669960 + 395 0.000000 + 399 41.450044 + 410 141.123026 + 412 405.347359 + 413 12.875247 + 414 117.612150 + 441 8.989886 + 446 74.655250 + 448 89.566395 + 451 37.992598 + 456 40.599701 + 465 37.339465 + 466 142.928780 + 467 9.122607 + 472 53.463843 + 476 93.289532 + 477 57.155319 + 484 19.139209 + 1001 5.491474 + 1002 85.213352 + 1004 170.642969 + 1017 90.453986 + 1030 57.810669 + 1034 7.372961 + 1035 9.614944 + 1037 1.846687 + 1038 17.646937 + 1039 153.910670 + 1041 119.835954 + 1044 5.010210 + 1 2.691959 + 2 379.300890 + 3 13.497203 + 4 2.462250 + 6 19.718182 + 7 200.667783 + 8 93.618235 + 9 25.650544 + 10 26.344823 + 11 65.285854 + 12 21.514761 + 13 176.510003 + 14 1898.884523 + 15 91.241365 + 16 304.552394 + 17 6.355976 + 18 3.439437 + 19 158.859588 + 20 187.802059 + 21 26.561371 + 22 8.657907 + 23 110.316703 + 26 21.286647 + 28 8.028500 + 29 76.976887 + 33 148.320170 + 34 97.178361 + 35 6.713123 + 36 88.631285 + 37 333.404629 + 38 27.838269 + 40 11.662869 + 41 0.000000 + 42 71.250154 + 43 0.369757 + 44 10.360736 + 45 3.855089 + 51 81.568715 + 52 54.636552 + 53 23.501931 + 54 90.446620 + 55 57.162095 + 56 162.850196 + 57 305.874565 + 58 6.323299 + 59 59.415851 + 60 46.966205 + 62 56.660855 + 63 815.675312 + 64 47.723188 + 65 277.021471 + 66 328.086215 + 67 113.590454 + 68 11.709047 + 69 33.969900 + 71 0.913379 + 72 122.671912 + 73 59.978744 + 74 7.491057 + 75 12.504248 + 76 24.208529 + 77 400.110964 + 78 263.576362 + 79 25.930889 + 80 36.895259 + 81 254.783774 + 82 6.870138 + 84 12.625935 + 85 23.783568 + 86 3.159890 + 87 5.151827 + 88 0.000000 + 89 106.765711 + 90 15.783445 + 91 30.701284 + 92 64.989933 + 93 43.087958 + 94 31.124285 + 95 5.171761 + 96 48.085148 + 97 5.347890 + 99 2.124571 + 100 0.082078 + 101 21.635603 + 102 52.057076 + 103 25.625192 + 104 9.750228 + 105 36.202865 + 107 4.626653 + 108 3.190574 + 109 9.578291 + 110 6.374896 + 111 3.684 + +##6 пункт + +код с выводом в файл: + +warning('off', 'all'); +graphics_toolkit('gnuplot'); +fp=fopen('prtcl.txt ','w') +XX=load('dan_vuz.txt'); +X=XX(:,3:13); +R=corr(X); +[vect,lambda]=eig(X'*X); +Sobst=diag(lambda); +fprintf(fp,'Eigenvalues:\n %f \n',Sobst) +fprintf(fp, '\n') +SobMax=Sobst(end); +GlComp=vect(:,end); +Delt=100*SobMax/sum(Sobst); +fprintf(fp, 'Delta= %d \n ',round(Delt)) +Res=X*GlComp; + +# 6 пункт + +minres = min(Res) +maxres = max(Res) +meanres = mean(Res) +stdres = std(Res) + +fprintf(fp, ' Results \n ') +fprintf(fp, '%d %f \n ',[XX(:,1),Res] ) +# fprintf(fp, 'min: %f', minres, '\n', 'max: %f', maxres, '\n', 'mean: %f', meanres, '\n', 'std: %f', stdres) +fprintf(fp, 'min: %f\n max: %f\n mean: %f \n std: %f', [minres, maxres, meanres, stdres]) +hist(Res,20); +xlabel('Results '); +ylabel('Number of Unis '); +saveas(gcf, 'Hist.jpg ', 'jpg '); +fclose(fp) + +вывод метрик в конце: + + min: 0.000000 + max: 1898.884523 + mean: 67.928804 + std: 145.954386 \ No newline at end of file diff --git a/ТЕМА2/res.mat b/ТЕМА2/res.mat new file mode 100644 index 0000000..fbac10d Binary files /dev/null and b/ТЕМА2/res.mat differ diff --git a/ТЕМА2/task1.m b/ТЕМА2/task1.m new file mode 100644 index 0000000..2ced88a --- /dev/null +++ b/ТЕМА2/task1.m @@ -0,0 +1,10 @@ +warning('off', 'all') +graphics_toolkit('gnuplot') + +XX=load('dan_vuz.txt') +size(XX) + +hist(Res,20) +xlabel('Results ') +ylabel('Number of Unis ') + diff --git a/ТЕМА2/tri.m b/ТЕМА2/tri.m new file mode 100644 index 0000000..6ea97a9 --- /dev/null +++ b/ТЕМА2/tri.m @@ -0,0 +1,32 @@ +warning('off', 'all'); +graphics_toolkit('gnuplot'); +fp=fopen('prtcl.txt ','w') +XX=load('dan_vuz.txt'); +X=XX(:,3:13); +R=corr(X); +[vect,lambda]=eig(X'*X); +Sobst=diag(lambda); +fprintf(fp,'Eigenvalues:\n %f \n',Sobst) +fprintf(fp, '\n') +SobMax=Sobst(end); +GlComp=vect(:,end); +Delt=100*SobMax/sum(Sobst); +fprintf(fp, 'Delta= %d \n ',round(Delt)) +Res=X*GlComp; + +# 6 пункт +minres = min(Res) +maxres = max(Res) +meanres = mean(Res) +stdres = std(Res) + +fprintf(fp, ' Results \n ') +fprintf(fp, '%d %f \n ',[XX(:,1),Res] ) +# fprintf(fp, 'min: %f', minres, '\n', 'max: %f', maxres, '\n', 'mean: %f', meanres, '\n', 'std: %f', stdres) +fprintf(fp, 'min: %f\n max: %f\n mean: %f \n std: %f', [minres, maxres, meanres, stdres]) +hist(Res,20); +xlabel('Results '); +ylabel('Number of Unis '); +saveas(gcf, 'Hist.jpg ', 'jpg '); +fclose(fp) +