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Индивидуальные задания к лабораторной работе №5


⇐ ПредыдущаяСтр 4 из 4




ЗАДАНИЕ: Используя данные, приведённые в работе №3, требуется:

1. Оценить парные связи всех переменных на уровне значимости 5%. В случае наличия значимой связи для пары переменных построить уравнение регрессии, рассматривая переменную Х как независимую.

2. Построить график регрессионной модели.

3. Оценить значимость построенных регрессионных моделей.

4. Оценить качество построенных регрессионных моделей.

5. Проверить выполнение основных предпосылок нормальной регрессионной модели (провести анализ остатков).

6. Построить 95% и 99% доверительные интервалы для всех параметров моделей.

7. Рассчитать прогнозные значения для величин, на 15% превышающих максимальные значения независимых переменных. Построить соответствующие доверительные интервалы.

8. Составьте отчёт о проделанной работе по вашему индивидуальному варианту.

 

Вариант 1

 

Номера наблюдений X1 Y1 X2 Y2
  3, 708 17, 79 8, 78 26, 61
  4, 548 18, 644 7, 904 25, 88
  3, 896 18, 004 8, 122 25, 954
  3, 02 16, 866 8, 07 25, 942
  4, 202 18, 276 7, 592 25, 638
  4, 626 18, 422 7, 922 25, 874
  4, 192 18, 082 8, 566 26, 63
  3, 33 17, 43 6, 93 24, 76
  3, 898 17, 778 8, 15 25, 97
  3, 832 17, 846 7, 518 25, 592
  3, 374 17, 544 8, 27 26, 068
  3, 718 17, 508 8, 162 26, 412
  3, 932 18, 032 8, 976 27, 078
  3, 438 17, 522 7, 956 25, 662
  4, 678 18, 364 8, 308 26, 756
  3, 898 17, 684 7, 802 25, 856
  3, 736 17, 798 7, 956 25, 926
  4, 596 18, 772 7, 678 25, 724
  4, 394 18, 546 7, 732 25, 828
  4, 026 18, 35 7, 658 25, 602
  4, 64 18, 924 8, 17 26, 28
  3, 58 17, 792 8, 304 26, 008
  3, 742 17, 468 8, 48 26, 808
  4, 492 18, 592 8, 14 26, 026
  3, 54 17, 236 8, 452 26, 396
  4, 034 17, 662 7, 648 25, 596
  2, 95 16, 976 8, 618 26, 85
  3, 936 17, 868 7, 586 25, 258
  4, 644 18, 764 7, 294 25, 264
  4, 078 18, 336 8, 08 26, 2
  3, 572 17, 324 8, 036 26, 288
  4, 494 18, 216 7, 622 25, 786
  4, 402 18, 626 7, 728 25, 922
  4, 102 17, 962 8, 632 26, 884
  4, 318 18, 328 8, 04 26, 152
  4, 086 18, 504 8, 534 26, 572

 

Вариант 2

 

Номера наблюдений X1 Y1 X2 Y2
  0, 898 7, 952 3, 011 11, 927
  1, 046 7, 991 3, 233 12, 265
  0, 804 7, 845 3, 34 12, 255
  0, 899 7, 839 3, 025 11, 935
  0, 615 7, 665 2, 415 11, 33
  0, 967 7, 781 2, 774 11, 748
  1, 151 8, 263 2, 814 11, 911
  0, 637 7, 722 3, 085 11, 984
  0, 993 8, 202 3, 217 12, 236
  0, 46 7, 383 2, 985 11, 921
  1, 197 8, 058 2, 761 11, 843
  0, 918 7, 884 2, 743 11, 579
  0, 809 7, 704 3, 031 12, 156
  1, 109 8, 114 2, 97 12, 026
  0, 669 7, 711 2, 928 11, 781
  1, 147 8, 223 2, 816 11, 864
  1, 224 8, 272 2, 902 11, 89
  0, 963 8, 125 2, 779 11, 751
  1, 263 8, 161 2, 911 11, 887
  1, 248 8, 336 2, 789 11, 812
  1, 272 8, 332 2, 597 11, 582
  0, 74 7, 846 3, 102 11, 954
  0, 899 7, 792 2, 851 11, 878
  0, 821 7, 684 3, 19 12, 354
  0, 72 7, 568 3, 176 12, 148
  0, 916 7, 966 3, 438 12, 489
  0, 425 7, 438 3, 259 12, 375
  0, 818 7, 849 2, 928 11, 913
  1, 196 8, 246 3, 02 11, 963
  0, 989 8, 118 2, 99 12, 05
  0, 866 7, 873 2, 709 11, 746
  0, 736 7, 612 2, 968 12, 094
  1, 001 7, 931 3, 266 12, 392
  1, 051 8, 088 2, 746 11, 769
  1, 27 8, 412 3, 035 12, 09
  1, 289 8, 132 3, 104 12, 328

 

Вариант 3

 

Номера наблюдений X1 Y1 X2 Y2
  3, 6741 5, 7324 4, 1433 6, 8679
  3, 5562 5, 6685 4, 317 6, 9915
  3, 537 5, 6688 4, 2456 6, 9012
  3, 531 5, 5854 4, 2678 6, 9594
  3, 6894 5, 8158 4, 1517 6, 8586
  3, 5157 5, 6283 4, 1934 6, 8493
  3, 4995 5, 6145 4, 0395 6, 714
  3, 5061 5, 6316 4, 2405 6, 9102
  3, 5748 5, 6769 4, 1277 6, 8388
  3, 6822 5, 7966 4, 1856 6, 882
  3, 5847 5, 6526 4, 1703 6, 8784
  3, 5898 5, 7048 4, 3464 7, 0617
  3, 6966 5, 8146 4, 0941 6, 7896
  3, 6591 5, 7819 4, 1598 6, 8742
  3, 6051 5, 6493 4, 1472 6, 8394
  3, 6603 5, 7939 4, 1592 6, 8883
  3, 6303 5, 7414 4, 1388 6, 8457
  3, 5844 5, 7006 4, 2183 6, 8931
  3, 5613 5, 6202 4, 272 7, 0212
  3, 4425 5, 5464 4, 2927 7, 0275
  3, 6039 5, 7525 4, 1487 6, 8403
  3, 7017 5, 7546 4, 2462 7, 0134
  3, 5847 5, 6667 4, 2225 6, 8955
  3, 5577 5, 6262 4, 2243 6, 9618
  3, 6129 5, 7756 4, 2801 6, 9858
  3, 5604 5, 6697 4, 1934 6, 8889
  3, 6288 5, 7123 4, 2849 6, 9945
  3, 696 5, 8386 4, 2255 6, 942
  3, 5904 5, 6802 4, 1379 6, 7887
  3, 6738 5, 7888 4, 221 6, 9039
  3, 453 5, 5299 4, 2105 6, 8913
  3, 6939 5, 7633 4, 1883 6, 8811
  3, 6153 5, 6943 4, 2948 7, 0326
  3, 6477 5, 7492 4, 206 6, 9228
  3, 6117 5, 7504 4, 212 6, 93
  3, 5358 5, 5986 4, 2054 6, 9432

 

Вариант 4

 

Номера наблюдений X1 Y1 X2 Y2
  3, 248 17, 344 6, 604 24, 58
  2, 24 15, 936 7, 152 25, 096
  3, 194 16, 916 6, 322 24, 486
  2, 442 16, 168 7, 18 25, 508
  2, 138 16, 222 6, 656 24, 362
  2, 726 17, 05 6, 358 24, 302
  3, 018 17, 028 6, 74 24, 852
  2, 902 16, 976 6, 292 24, 338
  2, 03 16, 13 5, 63 23, 46
  3, 378 17, 064 7, 008 25, 456
  2, 636 16, 568 6, 286 23, 958
  3, 102 17, 326 6, 428 24, 622
  2, 436 16, 498 6, 656 24, 626
  3, 192 17, 292 6, 84 24, 726
  2, 272 16, 024 6, 736 24, 988
  1, 65 15, 676 7, 318 25, 55
  2, 802 16, 662 7, 332 25, 584
  2, 532 16, 546 6, 218 24, 292
  3, 344 17, 464 5, 994 23, 964
  3, 326 17, 122 6, 622 24, 574
  2, 598 16, 384 6, 502 24, 556
  1, 72 15, 566 6, 77 24, 642
  2, 408 16, 49 7, 48 25, 31
  2, 632 16, 732 7, 676 25, 778
  2, 892 16, 782 7, 266 25, 33
  3, 094 17, 246 6, 432 24, 528
  2, 596 16, 704 6, 822 24, 654
  3, 34 17, 624 6, 87 24, 98
  2, 786 17, 204 7, 234 25, 272
  2, 418 16, 208 6, 862 25, 112
  2, 734 16, 362 6, 348 24, 296
  2, 074 16, 244 6, 97 24, 768
  2, 598 16, 478 6, 85 24, 67
  2, 778 17, 036 6, 78 24, 9
  2, 28 16, 492 7, 004 24, 708
  3, 296 17, 472 6, 378 24, 424

 

Вариант 5

 

Номера наблюдений X1 Y1 X2 Y2
  4, 3372 17, 011 8, 902 24, 949
  4, 7818 17, 448 7, 8328 24, 074
  4, 5082   8, 335 24, 373
  4, 3462 16, 757 8, 3458 24, 771
  4, 6774 17, 654 8, 6806 24, 915
  4, 5082 16, 916 8, 0218 24, 27
  4, 0942 16, 77 8, 1604 24, 096
  5, 0428 17, 733 8, 326 24, 423
  3, 997 16, 687 7, 237 23, 284
  3, 718 16, 179 8, 263 24, 348
  4, 8862 17, 495 8, 236 24, 537
  4, 3678 16, 721 8, 632 25, 127
  5, 1364 17, 895 7, 9102 24, 152
  4, 5424 17, 081 7, 8274 23, 732
  4, 5064 17, 204 8, 3098 24, 359
  5, 1796 17, 888 7, 5646 23, 738
  4, 6234 17, 515 7, 8922 24, 042
  4, 186 16, 512 8, 6068 24, 756
  4, 9618 17, 763 7, 9552 24, 33
  5, 176 18, 032 8, 353 24, 652
  4, 3624 17, 018 8, 1604 24, 333
  4, 222 17, 013 8, 4736 24, 407
  4, 9546 17, 691 7, 9588 24, 245
  3, 655 16, 278 8, 7562 25, 165
  4, 7728 17, 274 8, 7094 24, 967
  4, 5388 17, 229 9, 0784 25, 37
  4, 6306 16, 896 7, 8832 24, 036
  5, 2102 17, 528 8, 4772 25, 08
  5, 0446 17, 394 7, 8598 24, 207
  4, 6918 17, 166 8, 7688 25, 196
  4, 2148 16, 592 8, 2324 24, 659
  4, 4488 17, 061 7, 7662 24, 033
  4, 6702 17, 502 8, 272 24, 58
  5, 0932 17, 78 8, 1136 24, 292
  4, 0366 16, 79 8, 443 24, 461
  5, 1634 17, 58 8, 1298 24, 287

 

Вариант 6

 

Номера наблюдений X1 Y1 X2 Y2
  2, 6228 8, 2628 4, 6404 11, 881
  2, 5332 8, 166 4, 562 11, 694
  2, 8692 8, 5076 4, 2116 11, 402
  2, 7268 8, 2828 4, 4764 11, 702
  2, 6812 8, 3844 4, 282 11, 53
  2, 382 8, 022 3, 822 10, 954
  2, 906 8, 6196 4, 318 11, 562
  2, 3996 8, 0676 4, 358 11, 477
  2, 6244 8, 1972 4, 0844 11, 153
  2, 258 7, 7964 4, 278 11, 427
  2, 4252 8, 0588 4, 2324 11, 315
  2, 5444 8, 1692 4, 2324 11, 42
  2, 6636 8, 1148 4, 1092 11, 288
  2, 5468 8, 0372 4, 442 11, 773
  2, 6908 8, 2348 4, 5028 11, 804
  2, 8884 8, 5588 4, 1212 11, 34
  2, 6844 8, 4516 4, 4636 11, 679
  2, 482 8, 1668 4, 3716 11, 453
  2, 9076 8, 5556 3, 9676 11, 156
  2, 7308 8, 3604 4, 0868 11, 305
  2, 9004 8, 4188 4, 2188 11, 4
  2, 466 7, 9444 4, 4308 11, 608
  2, 8076 8, 4684 4, 1428 11, 381
  2, 6084 8, 2516 4, 2988 11, 432
  2, 6604 8, 39 4, 1132 11, 291
  2, 6092 8, 1612 4, 31 11, 438
  2, 4788 7, 9796 4, 2644 11, 565
  2, 8108 8, 5004 4, 1412 11, 419
  2, 23 7, 8404 4, 4972 11, 79
  2, 9212 8, 3956 4, 3732 11, 752
  2, 8476 8, 3364 4, 0988 11, 364
  2, 6092 8, 1236 4, 1708 11, 392
  2, 5372 8, 0532 4, 3148 11, 615
  2, 7772 8, 3812 4, 266 11, 511
  2, 5828 8, 1884 4, 0572 11, 287
  2, 8468 8, 4868 4, 306 11, 46

 

Вариант 7

 

Номера наблюдений X1 Y1 X2 Y2
  5, 047 25, 726 10, 903 37, 984
  3, 625 24, 664 12, 127 39, 475
  4, 948 25, 969 10, 477 37, 588
  5, 047 25, 867 11, 425 38, 155
  5, 329 26, 956 12, 001 39, 058
  6, 139 26, 833 11, 083 38, 011
  4, 558 25, 186 11, 254 38, 632
  5, 803 27, 139 10, 792 38, 083
  4, 57 25, 888 11, 656 38, 212
  5, 503 26, 614 10, 588 37, 657
  4, 51 25, 054 11, 878 38, 794
  4, 813 25, 402 11, 92 39, 412
  4, 357 25, 483 11, 134 37, 693
  5, 317 26, 704 11, 32 38, 5
  6, 217 26, 746 11, 662 39, 334
  4, 777 25, 462 11, 443 38, 818
  4, 762 25, 885 12, 37 39, 115
  5, 251 25, 693 10, 672 37, 594
  3, 73 24, 499 11, 305 38, 113
  5, 353 26, 143 12, 148 39, 526
  5, 791 27, 019 10, 798 37, 942
  5, 104 26, 002 10, 579 37, 087
  6, 022 27, 166 11, 056 38, 02
  4, 804 25, 897 11, 134 38, 089
  5, 098 26, 248 12, 664 39, 817
  6, 16 27, 586 11, 455 38, 62
  5, 488 26, 323 12, 049 39, 145
  5, 941 26, 524 10, 633 37, 879
  4, 195 25, 345 9, 595 36, 34
  4, 261 25, 516 11, 605 38, 302
  5, 239 26, 725 10, 687 37, 603
  5, 677 26, 692 11, 26 38, 428
  6, 166 27, 346 10, 141 37, 096
  5, 938 27, 088 11, 41 38, 239
  6, 094 27, 358 10, 717 37, 786
  5, 044 26, 206 11, 383 38, 131

 

Вариант 8

 

Номера наблюдений X1 Y1 X2 Y2
  2, 957 6, 4775 4, 225 8, 6825
  2, 8625 6, 3875 3, 7625 8, 22
  3, 153 6, 678 4, 065 8, 5365
  2, 785 6, 2465 4, 0475 8, 5155
  3, 1865 6, 6355 4, 0105 8, 4985
  3, 1305 6, 6865 3, 962 8, 5105
  2, 9595 6, 407 4, 0705 8, 633
  3, 0805 6, 599 3, 928 8, 4395
  2, 7675 6, 274 4, 1845 8, 7425
  3, 014 6, 497 3, 9265 8, 3445
  2, 9655 6, 397 4, 15 8, 732
  3, 167 6, 691 4, 006 8, 5
  3, 1095 6, 612 4, 04 8, 568
  3, 0385 6, 4455 3, 942 8, 429
  3, 1995 6, 621 4, 107 8, 719
  2, 8735 6, 416 4, 0975 8, 547
  3, 0555 6, 5205 4, 188 8, 751
  2, 964 6, 4795 4, 019 8, 5115
  3, 191 6, 721 3, 8535 8, 346
  3, 0045 6, 4745 4, 0675 8, 5225
  2, 923 6, 361 4, 039 8, 602
  2, 925 6, 478 4, 106 8, 532
  2, 988 6, 4915 3, 9095 8, 428
  3, 19 6, 761 4, 0725 8, 6
  3, 179 6, 723 3, 9495 8, 461
  3, 0045 6, 451 3, 9805 8, 494
  3, 0515 6, 656 4, 1635 8, 673
  3, 078 6, 5505 4, 1715 8, 6875
  2, 915 6, 339 4, 143 8, 629
  2, 8895 6, 4105 4, 019 8, 4455
  3, 013 6, 538 4, 274 8, 7995
  3, 0495 6, 614 4, 05 8, 58
  3, 1535 6, 584 3, 9355 8, 4765
  3, 0365 6, 6175 3, 9445 8, 4305
  3, 1285 6, 6665 3, 963 8, 487
  3, 004 6, 531 4, 0605 8, 5185

 

Вариант 9

 

Номера наблюдений X1 Y1 X2 Y2
  4, 4096 11, 662 7, 0217 16, 204
  4, 2376 11, 535 6, 7591 15, 925
  4, 5064 11, 772 6, 6828 15, 866
  4, 0553 11, 186 6, 6561 15, 86
  4, 6589 11, 812 6, 9115 16, 214
  4, 8134 12, 075 6, 6921 15, 903
  4, 7629 12, 051 6, 482 15, 801
  4, 8896 12, 246 6, 7076 16, 034
  4, 664 11, 912 6, 4099 15, 704
  4, 5775 11, 596 6, 4387 15, 682
  4, 3437 11, 663 6, 7766 15, 894
  4, 0193 11, 243 6, 9383 16, 328
  4, 8824 11, 987 6, 5798 15, 825
  4, 424 11, 666 6, 5973 15, 852
  4, 4735 11, 691 6, 3718 15, 68
  4, 4271 11, 496 6, 8672 16, 306
  4, 5075 11, 656 6, 6973 15, 875
  4, 4148 11, 517 6, 7034 16, 102
  4, 3396 11, 422 6, 6385 16, 038
  4, 3231 11, 377 6, 8528 16, 094
  4, 8422 12, 102 6, 5706 15, 828
  4, 6125 11, 75 6, 9455 16, 345
  4, 2706 11, 524 6, 5973 15, 716
  4, 525 11, 786 7, 1226 16, 445
  4, 9092 11, 957 6, 7786 16, 279
  4, 7238 11, 939 6, 6406 15, 968
  4, 8669 12, 168 6, 4542 15, 748
  4, 5075 11, 607 6, 518 15, 816
  4, 5734 11, 95 6, 4439 15, 685
  4, 6002 11, 943 6, 6612 15, 993
  4, 8144 11, 881 6, 4253 15, 78
  4, 527 11, 702 6, 4068 15, 508
  4, 215 11, 476 6, 069 15, 251
  4, 6043 12, 03 6, 895 16, 185
  4, 767 12, 092 6, 4799 15, 85
  4, 8917 12, 163 6, 2564 15, 511

 

Вариант 10

 

Номера наблюдений X1 Y1 X2 Y2
  8, 2518 20, 222 12, 563 27, 719
  8, 0223 19, 994 11, 863 26, 913
  8, 9658 20, 947 11, 818 27, 098
  8, 8417 20, 932 11, 669 27, 134
  8, 2603 19, 982 12, 038 27, 55
  9, 044 21, 185 12, 045 27, 438
  8, 5867 20, 368 12, 437 27, 951
  8, 2756 20, 228 11, 863 27, 137
  9, 0321 20, 759 11, 834 27, 093
  8, 3572 20, 269 11, 49 26, 853
  8, 143 20, 223 12, 158 27, 207
  8, 4133 20, 211 12, 028 27, 175
  8, 9182 20, 903 12, 019 27, 222
  8, 7703 20, 679 11, 934 27, 329
  8, 9199 20, 584 11, 579 27, 018
  8, 4133 20, 131 11, 732 27, 078
  8, 6717 20, 635 11, 553 26, 892
  8, 5731 20, 828 12, 354 27, 686
  7, 6075 19, 53 12, 425 27, 923
  8, 6632 20, 47 12, 381 27, 736
  7, 9679 20, 012 12, 13 27, 258
  8, 4422 20, 427 12, 73 28, 116
  8, 4116 20, 403 12, 004 27, 161
  8, 5221 20, 698 11, 609 26, 862
  8, 4456 20, 288 11, 548 26, 569
  8, 109 19, 751 12, 284 27, 537
  8, 8349 20, 864 11, 672 27, 054
  9, 0763 20, 709 12, 162 27, 843
  9, 0066 21, 056 11, 626 26, 965
  7, 9305 19, 916 10, 991 26, 146
  9, 0474 21, 049 11, 3 26, 574
  8, 5289 20, 113 11, 601 26, 857
  8, 2807 19, 948 12, 308 27, 887
  8, 5663 20, 686 11, 968 27, 37
  8, 1362 19, 825 11, 931 27, 445
  7, 667 19, 436 11, 96 27, 151

 


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