Индивидуальные задания к лабораторной работе №2
ЗАДАНИЕ: В таблице приведены данные 2-х выборок.
Требуется:
1. Создать файл с данными своего варианта состоящего из 2 переменных и 84 случаев.
2. Вычислить дескриптивные (описательные) статистики выборок, относящихся к каждой из линий.
3. Построить гистограммы выборочных распределений и сформулировать предположения о законах распределений каждой из случайных величин.
4. Построить вариационный и интервальный ряд.
5. Используя критерии согласия, проверить гипотезы о законах распределения случайных величин.
6. Составьте отчёт о проделанной работе по вашему индивидуальному варианту.
Вариант 1
Номера строк | Линия №1 | Линия №2 | Линия №1 | Линия №2 |
1,0482 | 8,0568 | 1,6777 | 8,9281 | |
0,9216 | 8,0067 | 1,4433 | 8,8482 | |
1,2099 | 7,8171 | 1,6759 | 8,7324 | |
0,8478 | 8,0580 | 1,5386 | 9,0165 | |
0,9355 | 7,9609 | 1,4706 | 8,8619 | |
1,0794 | 8,0499 | 1,4428 | 8,9143 | |
1,0039 | 8,1930 | 1,4827 | 8,8849 | |
0,9946 | 8,1697 | 1,4837 | 8,9245 | |
1,0117 | 8,1351 | 1,3286 | 8,8296 | |
1,0718 | 8,2263 | 1,6631 | 8,8830 | |
1,0893 | 8,1556 | 1,5652 | 8,8924 | |
1,0640 | 8,1992 | 1,3814 | 9,2258 | |
1,1159 | 8,1566 | 1,5120 | 9,1055 | |
1,0815 | 8,1479 | 1,5533 | 8,9705 | |
1,1742 | 8,2819 | 1,6033 | 8,9860 | |
1,2248 | 8,2642 | 1,4363 | 9,2512 | |
1,1989 | 8,2584 | 1,5090 | 9,0788 | |
1,0146 | 8,2287 | 1,4884 | 9,1271 | |
1,1760 | 8,1083 | 1,4894 | 9,3756 | |
1,2726 | 8,1509 | 1,6297 | 9,2836 | |
1,3020 | 8,2550 | 1,5933 | 9,2512 | |
1,2411 | 8,3042 | 1,5177 | 9,2294 | |
1,2110 | 8,4063 | 1,6769 | 9,2491 | |
1,1260 | 8,2562 | 1,7063 | 9,2612 | |
1,1903 | 8,4663 | 1,8045 | 9,2162 | |
1,2808 | 8,5496 | 1,8723 | 9,4522 | |
1,2590 | 8,4253 | 1,5989 | 9,2958 | |
1,3266 | 8,6088 | 1,6318 | 9,2253 | |
1,3680 | 8,5582 | 1,3759 | 9,3032 | |
1,2655 | 8,6255 | 1,7805 | 9,3364 | |
1,4314 | 8,5035 | 1,7036 | 9,4968 | |
1,4301 | 8,3418 | 1,5734 | 9,4798 | |
1,2795 | 8,6818 | 1,7726 | 9,1565 | |
1,5343 | 8,6731 | 1,7654 | 9,3810 | |
1,3846 | 8,5963 | 1,6273 | 9,6051 | |
1,2918 | 8,6463 | 1,7650 | 9,4424 | |
1,1994 | 8,6539 | 1,9238 | 9,3771 | |
1,3720 | 8,6383 | 1,6501 | 9,5901 | |
1,3701 | 8,6130 | 2,0169 | 9,5346 | |
1,4025 | 8,7532 | 1,8268 | 9,5749 | |
1,4170 | 8,6874 | 1,9106 | 9,5464 | |
1,6777 | 8,9281 | 1,9517 | 9,7782 |
Вариант 2
Номера строк | Линия №1 | Линия №2 | Линия №1 | Линия №2 |
1,0782 | 8,1168 | 1,7059 | 8,7924 | |
0,9516 | 8,0667 | 1,5686 | 9,0765 | |
1,2399 | 7,8771 | 1,5006 | 8,9219 | |
0,8778 | 8,1180 | 1,4728 | 8,9743 | |
0,9655 | 8,0209 | 1,5127 | 8,9449 | |
1,1094 | 8,1099 | 1,5137 | 8,9845 | |
1,0339 | 8,2530 | 1,3586 | 8,8896 | |
1,0246 | 8,2297 | 1,6931 | 8,9430 | |
1,0417 | 8,1951 | 1,5952 | 8,9524 | |
1,1018 | 8,2863 | 1,4114 | 9,2858 | |
1,1193 | 8,2156 | 1,5420 | 9,1655 | |
1,0940 | 8,2592 | 1,5833 | 9,0305 | |
1,1459 | 8,2166 | 1,6333 | 9,0460 | |
1,1115 | 8,2079 | 1,4663 | 9,3112 | |
1,2042 | 8,3419 | 1,5390 | 9,1388 | |
1,2548 | 8,3242 | 1,5184 | 9,1871 | |
1,2289 | 8,3184 | 1,5194 | 9,4356 | |
1,0446 | 8,2887 | 1,6597 | 9,3436 | |
1,2060 | 8,1683 | 1,6233 | 9,3112 | |
1,3026 | 8,2109 | 1,5477 | 9,2894 | |
1,3320 | 8,3150 | 1,7069 | 9,3091 | |
1,2711 | 8,3642 | 1,7363 | 9,3212 | |
1,2410 | 8,4663 | 1,8345 | 9,2762 | |
1,1560 | 8,3162 | 1,9023 | 9,5122 | |
1,2203 | 8,5263 | 1,6289 | 9,3558 | |
1,3108 | 8,6096 | 1,6618 | 9,2853 | |
1,2890 | 8,4853 | 1,4059 | 9,3632 | |
1,3566 | 8,6688 | 1,8105 | 9,3964 | |
1,3980 | 8,6182 | 1,7336 | 9,5568 | |
1,2955 | 8,6855 | 1,6034 | 9,5398 | |
1,4614 | 8,5635 | 1,8026 | 9,2165 | |
1,4601 | 8,4018 | 1,7954 | 9,4410 | |
1,3095 | 8,7418 | 1,6573 | 9,6651 | |
1,5643 | 8,7331 | 1,7950 | 9,5024 | |
1,4146 | 8,6563 | 1,9538 | 9,4371 | |
1,3218 | 8,7063 | 1,6801 | 9,6501 | |
1,2294 | 8,7139 | 2,0469 | 9,5946 | |
1,4020 | 8,6983 | 1,8568 | 9,6349 | |
1,4001 | 8,6730 | 1,9406 | 9,6064 | |
1,4325 | 8,8132 | 1,9817 | 9,8382 | |
1,4470 | 8,7474 | 1,7801 | 9,5460 | |
1,7077 | 8,9881 | 1,8813 | 9,7135 |
Вариант 3
Номера строк | Линия №1 | Линия №2 | Линия №1 | Линия №2 |
1,2434 | 6,9771 | 1,2686 | 8,1323 | |
1,0741 | 6,9135 | 1,3673 | 8,2513 | |
1,0935 | 6,9417 | 1,3385 | 8,3495 | |
1,1544 | 7,0313 | 1,4250 | 8,2661 | |
1,2501 | 7,2411 | 1,5093 | 8,2634 | |
0,8377 | 7,1812 | 1,3144 | 8,3813 | |
1,1243 | 7,2316 | 1,6403 | 8,4518 | |
0,9962 | 7,3219 | 1,6688 | 8,4992 | |
1,1065 | 7,3292 | 1,5583 | 8,5983 | |
1,1552 | 7,1403 | 1,4198 | 8,4070 | |
1,1658 | 7,4335 | 1,4025 | 8,8909 | |
1,1117 | 7,2519 | 1,5673 | 8,7000 | |
1,0566 | 7,4191 | 1,5062 | 8,6603 | |
1,1155 | 7,4338 | 1,4728 | 8,7298 | |
1,1018 | 7,6065 | 1,6361 | 8,6268 | |
1,1140 | 7,5496 | 1,5772 | 8,7983 | |
1,1709 | 7,3762 | 1,4582 | 8,8201 | |
1,1937 | 7,4320 | 1,4817 | 8,8405 | |
1,1902 | 7,4719 | 1,8957 | 8,7682 | |
1,1242 | 7,4758 | 1,6424 | 9,0457 | |
1,1545 | 7,5258 | 1,5946 | 8,9152 | |
1,1018 | 7,5620 | 1,5595 | 8,7104 | |
1,3413 | 7,8323 | 1,5816 | 9,0380 | |
1,2356 | 7,5708 | 1,6925 | 9,0774 | |
1,3513 | 7,7151 | 1,7551 | 8,9873 | |
1,1971 | 7,8590 | 1,6714 | 9,0855 | |
1,2951 | 7,8328 | 1,9259 | 9,0962 | |
1,4614 | 7,8342 | 1,5891 | 8,9468 | |
1,3710 | 7,9837 | 1,6481 | 9,0485 | |
1,4597 | 7,7919 | 1,7271 | 9,3196 | |
1,4293 | 7,9604 | 1,6474 | 9,1898 | |
1,3156 | 8,0880 | 1,9177 | 9,1343 | |
1,1964 | 8,0421 | 1,7119 | 9,2632 | |
1,3654 | 8,0181 | 1,7938 | 9,1268 | |
1,4888 | 8,1044 | 1,8035 | 9,3181 | |
1,3301 | 8,0201 | 1,6118 | 9,3141 | |
1,3396 | 8,0965 | 1,7279 | 9,4102 | |
1,4577 | 8,0832 | 1,8262 | 9,4810 | |
1,2947 | 8,1102 | 1,9404 | 9,4924 | |
1,3725 | 8,2224 | 1,8604 | 9,3470 | |
1,4283 | 8,3521 | 1,7422 | 9,6783 | |
1,6047 | 8,2557 | 1,8268 | 9,5938 |
Вариант 4
Номера строк | Линия №1 | Линия №2 | Линия №1 | Линия №2 |
0,2682 | 8,6968 | 0,6633 | 9,9082 | |
0,1416 | 8,6567 | 0,8959 | 9,8024 | |
0,4299 | 8,4771 | 0,7586 | 10,0965 | |
0,0678 | 8,7280 | 0,6906 | 9,9519 | |
0,1555 | 8,6409 | 0,6628 | 10,0143 | |
0,2994 | 8,7399 | 0,7027 | 9,9949 | |
0,2239 | 8,8930 | 0,7037 | 10,0445 | |
0,2146 | 8,8797 | 0,5486 | 9,9596 | |
0,2317 | 8,8551 | 0,8831 | 10,0230 | |
0,2918 | 8,9563 | 0,7852 | 10,0424 | |
0,3093 | 8,8956 | 0,6014 | 10,3858 | |
0,2840 | 8,9492 | 0,7320 | 10,2755 | |
0,3359 | 8,9166 | 0,7733 | 10,1505 | |
0,3015 | 8,9179 | 0,8233 | 10,1760 | |
0,3942 | 9,0619 | 0,6563 | 10,4512 | |
0,4448 | 9,0542 | 0,7290 | 10,2888 | |
0,4189 | 9,0584 | 0,7084 | 10,3471 | |
0,2346 | 9,0387 | 0,7094 | 10,6056 | |
0,3960 | 8,9283 | 0,8497 | 10,5236 | |
0,4926 | 8,9809 | 0,8133 | 10,5012 | |
0,5220 | 9,0950 | 0,7377 | 10,4894 | |
0,4611 | 9,1542 | 0,8969 | 10,5191 | |
0,4310 | 9,2663 | 0,9263 | 10,5412 | |
0,3460 | 9,1262 | 1,0245 | 10,5062 | |
0,4103 | 9,3463 | 1,0923 | 10,7522 | |
0,5008 | 9,4396 | 0,8189 | 10,6058 | |
0,4790 | 9,3253 | 0,8518 | 10,5453 | |
0,5466 | 9,5188 | 0,5959 | 10,6332 | |
0,5880 | 9,4782 | 1,0005 | 10,6764 | |
0,4855 | 9,5555 | 0,9236 | 10,8468 | |
0,6514 | 9,4435 | 0,7934 | 10,8398 | |
0,6501 | 9,2918 | 0,9926 | 10,5265 | |
0,4995 | 9,6418 | 0,9854 | 10,7610 | |
0,7543 | 9,6431 | 0,8473 | 10,9951 | |
0,6046 | 9,5763 | 0,9850 | 10,8424 | |
0,5118 | 9,6363 | 1,1438 | 10,7871 | |
0,4194 | 9,6539 | 0,8701 | 11,0101 | |
0,5920 | 9,6483 | 1,2369 | 10,9646 | |
0,5901 | 9,6330 | 1,0468 | 11,0149 | |
0,6225 | 9,7832 | 1,1306 | 10,9964 | |
0,6370 | 9,7274 | 1,1717 | 11,2382 | |
0,8977 | 9,9781 | 0,9701 | 10,9560 |
Вариант 5
Номера строк | Линия №1 | Линия №2 | Линия №1 | Линия №2 |
2,1194 | 6,9060 | 2,5162 | 8,2838 | |
1,9317 | 6,9575 | 2,3351 | 8,3909 | |
2,0759 | 7,1195 | 2,4548 | 8,3056 | |
2,1292 | 7,0454 | 2,5930 | 8,3700 | |
1,9278 | 7,1477 | 2,5060 | 8,4744 | |
1,9011 | 7,2030 | 2,7631 | 8,5385 | |
2,0261 | 7,2274 | 2,2255 | 8,4303 | |
2,1723 | 7,2315 | 2,3147 | 8,3610 | |
2,2814 | 7,3483 | 2,5012 | 8,5566 | |
2,0856 | 7,3831 | 2,4136 | 8,6424 | |
2,0789 | 7,3027 | 2,3982 | 8,6121 | |
2,1721 | 7,3867 | 2,3444 | 8,6765 | |
2,0925 | 7,4562 | 2,4508 | 8,6619 | |
1,9703 | 7,3183 | 2,5959 | 8,7418 | |
2,3572 | 7,4319 | 2,3605 | 8,7517 | |
2,2155 | 7,5141 | 2,5833 | 8,6925 | |
2,2258 | 7,6204 | 2,5667 | 8,8631 | |
2,1065 | 7,5014 | 2,5425 | 8,9613 | |
2,1441 | 7,6180 | 2,5811 | 9,0041 | |
2,3513 | 7,6966 | 2,5278 | 8,8234 | |
2,1894 | 7,7476 | 2,5168 | 8,9232 | |
2,2367 | 7,7958 | 2,7655 | 8,9432 | |
2,1325 | 7,7859 | 2,6376 | 8,9032 | |
2,1669 | 7,8555 | 2,6839 | 9,1253 | |
2,4471 | 7,5029 | 2,5472 | 8,9693 | |
2,3435 | 7,8235 | 2,5489 | 8,8857 | |
1,9938 | 7,8034 | 2,8405 | 9,0674 | |
2,2502 | 7,7916 | 2,6666 | 9,1010 | |
2,3505 | 7,9062 | 2,7623 | 9,2489 | |
2,2590 | 7,9680 | 2,8109 | 8,9607 | |
2,3784 | 7,9917 | 2,7495 | 9,2288 | |
2,3638 | 7,9863 | 2,6247 | 9,2162 | |
2,2578 | 8,0830 | 3,0127 | 9,3135 | |
2,4175 | 7,9803 | 2,7314 | 9,2800 | |
2,3123 | 8,0898 | 2,6206 | 9,3954 | |
2,4100 | 8,0386 | 2,7396 | 9,2413 | |
2,5475 | 8,0397 | 2,7708 | 9,4080 | |
2,3648 | 8,2208 | 2,7746 | 9,5313 | |
2,3047 | 8,1730 | 2,8083 | 9,3730 | |
2,4489 | 8,1595 | 2,8504 | 9,4060 | |
2,3932 | 8,0698 | 2,7102 | 9,4963 | |
2,4266 | 8,1870 | 2,7621 | 9,5050 |
Вариант 6
Номера строк | Линия №1 | Линия №2 | Линия №1 | Линия №2 |
3,1194 | 10,9060 | 3,5162 | 12,2838 | |
2,9317 | 10,9575 | 3,3351 | 12,3909 | |
3,0759 | 11,1195 | 3,4548 | 12,3056 | |
3,1292 | 11,0454 | 3,5930 | 12,3700 | |
2,9278 | 11,1477 | 3,5060 | 12,4744 | |
2,9011 | 11,2030 | 3,7631 | 12,5385 | |
3,0261 | 11,2274 | 3,2255 | 12,4303 | |
3,1723 | 11,2315 | 3,3147 | 12,3610 | |
3,2814 | 11,3483 | 3,5012 | 12,5566 | |
3,0856 | 11,3831 | 3,4136 | 12,6424 | |
3,0789 | 11,3027 | 3,3982 | 12,6121 | |
3,1721 | 11,3867 | 3,3444 | 12,6765 | |
3,0925 | 11,4562 | 3,4508 | 12,6619 | |
2,9703 | 11,3183 | 3,5959 | 12,7418 | |
3,3572 | 11,4319 | 3,3605 | 12,7517 | |
3,2155 | 11,5141 | 3,5833 | 12,6925 | |
3,2258 | 11,6204 | 3,5667 | 12,8631 | |
3,1065 | 11,5014 | 3,5425 | 12,9613 | |
3,1441 | 11,6180 | 3,5811 | 13,0041 | |
3,3513 | 11,6966 | 3,5278 | 12,8234 | |
3,1894 | 11,7476 | 3,5168 | 12,9232 | |
3,2367 | 11,7958 | 3,7655 | 12,9432 | |
3,1325 | 11,7859 | 3,6376 | 12,9032 | |
3,1669 | 11,8555 | 3,6839 | 13,1253 | |
3,4471 | 11,5029 | 3,5472 | 12,9693 | |
3,3435 | 11,8235 | 3,5489 | 12,8857 | |
2,9938 | 11,8034 | 3,8405 | 13,0674 | |
3,2502 | 11,7916 | 3,6666 | 13,1010 | |
3,3505 | 11,9062 | 3,7623 | 13,2489 | |
3,2590 | 11,9680 | 3,8109 | 12,9607 | |
3,3784 | 11,9917 | 3,7495 | 13,2288 | |
3,3638 | 11,9863 | 3,6247 | 13,2162 | |
3,2578 | 12,0830 | 4,0127 | 13,3135 | |
3,4175 | 11,9803 | 3,7314 | 13,2800 | |
3,3123 | 12,0898 | 3,6206 | 13,3954 | |
3,4100 | 12,0386 | 3,7396 | 13,2413 | |
3,5475 | 12,0397 | 3,7708 | 13,4080 | |
3,3648 | 12,2208 | 3,7746 | 13,5313 | |
3,3047 | 12,1730 | 3,8083 | 13,3730 | |
3,4489 | 12,1595 | 3,8504 | 13,4060 | |
3,3932 | 12,0698 | 3,7102 | 13,4963 | |
3,4266 | 12,1870 | 3,7621 | 13,5050 |
Вариант 7
Номера строк | Линия №1 | Линия №2 | Линия №1 | Линия №2 |
2,1194 | 7,8960 | 2,5162 | 8,8538 | |
1,9317 | 7,9375 | 2,3351 | 8,9509 | |
2,0759 | 8,0895 | 2,4548 | 8,8556 | |
2,1292 | 8,0054 | 2,5930 | 8,9100 | |
1,9278 | 8,0977 | 2,5060 | 9,0044 | |
1,9011 | 8,1430 | 2,7631 | 9,0585 | |
2,0261 | 8,1574 | 2,2255 | 8,9403 | |
2,1723 | 8,1515 | 2,3147 | 8,8610 | |
2,2814 | 8,2583 | 2,5012 | 9,0466 | |
2,0856 | 8,2831 | 2,4136 | 9,1224 | |
2,0789 | 8,1927 | 2,3982 | 9,0821 | |
2,1721 | 8,2667 | 2,3444 | 9,1365 | |
2,0925 | 8,3262 | 2,4508 | 9,1119 | |
1,9703 | 8,1783 | 2,5959 | 9,1818 | |
2,3572 | 8,2819 | 2,3605 | 9,1817 | |
2,2155 | 8,3541 | 2,5833 | 9,1125 | |
2,2258 | 8,4504 | 2,5667 | 9,2731 | |
2,1065 | 8,3214 | 2,5425 | 9,3613 | |
2,1441 | 8,4280 | 2,5811 | 9,3941 | |
2,3513 | 8,4966 | 2,5278 | 9,2034 | |
2,1894 | 8,5376 | 2,5168 | 9,2932 | |
2,2367 | 8,5758 | 2,7655 | 9,3032 | |
2,1325 | 8,5559 | 2,6376 | 9,2532 | |
2,1669 | 8,6155 | 2,6839 | 9,4653 | |
2,4471 | 8,2529 | 2,5472 | 9,2993 | |
2,3435 | 8,5635 | 2,5489 | 9,2057 | |
1,9938 | 8,5334 | 2,8405 | 9,3774 | |
2,2502 | 8,5116 | 2,6666 | 9,4010 | |
2,3505 | 8,6162 | 2,7623 | 9,5389 | |
2,2590 | 8,6680 | 2,8109 | 9,2407 | |
2,3784 | 8,6817 | 2,7495 | 9,4988 | |
2,3638 | 8,6663 | 2,6247 | 9,4762 | |
2,2578 | 8,7530 | 3,0127 | 9,5635 | |
2,4175 | 8,6403 | 2,7314 | 9,5200 | |
2,3123 | 8,7398 | 2,6206 | 9,6254 | |
2,4100 | 8,6786 | 2,7396 | 9,4613 | |
2,5475 | 8,6697 | 2,7708 | 9,6180 | |
2,3648 | 8,8408 | 2,7746 | 9,7313 | |
2,3047 | 8,7830 | 2,8083 | 9,5630 | |
2,4489 | 8,7595 | 2,8504 | 9,5860 | |
2,3932 | 8,6598 | 2,7102 | 9,6663 | |
2,4266 | 8,7670 | 2,7621 | 9,6650 |
Вариант 8
Номера строк | Линия №1 | Линия №2 | Линия №1 | Линия №2 |
0,2682 | 9,6968 | 0,6633 | 10,9082 | |
0,1416 | 9,6567 | 0,8959 | 10,8024 | |
0,4299 | 9,4771 | 0,7586 | 11,0965 | |
0,0678 | 9,7280 | 0,6906 | 10,9519 | |
0,1555 | 9,6409 | 0,6628 | 11,0143 | |
0,2994 | 9,7399 | 0,7027 | 10,9949 | |
0,2239 | 9,8930 | 0,7037 | 11,0445 | |
0,2146 | 9,8797 | 0,5486 | 10,9596 | |
0,2317 | 9,8551 | 0,8831 | 11,0230 | |
0,2918 | 9,9563 | 0,7852 | 11,0424 | |
0,3093 | 9,8956 | 0,6014 | 11,3858 | |
0,2840 | 9,9492 | 0,7320 | 11,2755 | |
0,3359 | 9,9166 | 0,7733 | 11,1505 | |
0,3015 | 9,9179 | 0,8233 | 11,1760 | |
0,3942 | 10,0619 | 0,6563 | 11,4512 | |
0,4448 | 10,0542 | 0,7290 | 11,2888 | |
0,4189 | 10,0584 | 0,7084 | 11,3471 | |
0,2346 | 10,0387 | 0,7094 | 11,6056 | |
0,3960 | 9,9283 | 0,8497 | 11,5236 | |
0,4926 | 9,9809 | 0,8133 | 11,5012 | |
0,5220 | 10,0950 | 0,7377 | 11,4894 | |
0,4611 | 10,1542 | 0,8969 | 11,5191 | |
0,4310 | 10,2663 | 0,9263 | 11,5412 | |
0,3460 | 10,1262 | 1,0245 | 11,5062 | |
0,4103 | 10,3463 | 1,0923 | 11,7522 | |
0,5008 | 10,4396 | 0,8189 | 11,6058 | |
0,4790 | 10,3253 | 0,8518 | 11,5453 | |
0,5466 | 10,5188 | 0,5959 | 11,6332 | |
0,5880 | 10,4782 | 1,0005 | 11,6764 | |
0,4855 | 10,5555 | 0,9236 | 11,8468 | |
0,6514 | 10,4435 | 0,7934 | 11,8398 | |
0,6501 | 10,2918 | 0,9926 | 11,5265 | |
0,4995 | 10,6418 | 0,9854 | 11,7610 | |
0,7543 | 10,6431 | 0,8473 | 11,9951 | |
0,6046 | 10,5763 | 0,9850 | 11,8424 | |
0,5118 | 10,6363 | 1,1438 | 11,7871 | |
0,4194 | 10,6539 | 0,8701 | 12,0101 | |
0,5920 | 10,6483 | 1,2369 | 11,9646 | |
0,5901 | 10,6330 | 1,0468 | 12,0149 | |
0,6225 | 10,7832 | 1,1306 | 11,9964 | |
0,6370 | 10,7274 | 1,1717 | 12,2382 | |
0,8977 | 10,9781 | 0,9701 | 11,9560 |
Вариант 9
Номера строк | Линия №1 | Линия №2 | Линия №1 | Линия №2 |
2,0782 | 10,1168 | 2,8933 | 11,7482 | |
1,9616 | 10,0867 | 3,1359 | 11,6524 | |
2,2599 | 9,9171 | 3,0086 | 11,9565 | |
1,9078 | 10,1780 | 2,9506 | 11,8219 | |
2,0055 | 10,1009 | 2,9328 | 11,8943 | |
2,1594 | 10,2099 | 2,9827 | 11,8849 | |
2,0939 | 10,3730 | 2,9937 | 11,9445 | |
2,0946 | 10,3697 | 2,8486 | 11,8696 | |
2,1217 | 10,3551 | 3,1931 | 11,9430 | |
2,1918 | 10,4663 | 3,1052 | 11,9724 | |
2,2193 | 10,4156 | 2,9314 | 12,3258 | |
2,2040 | 10,4792 | 3,0720 | 12,2255 | |
2,2659 | 10,4566 | 3,1233 | 12,1105 | |
2,2415 | 10,4679 | 3,1833 | 12,1460 | |
2,3442 | 10,6219 | 3,0263 | 12,4312 | |
2,4048 | 10,6242 | 3,1090 | 12,2788 | |
2,3889 | 10,6384 | 3,0984 | 12,3471 | |
2,2146 | 10,6287 | 3,1094 | 12,6156 | |
2,3860 | 10,5283 | 3,2597 | 12,5436 | |
2,4926 | 10,5909 | 3,2333 | 12,5312 | |
2,5320 | 10,7150 | 3,1677 | 12,5294 | |
2,4811 | 10,7842 | 3,3369 | 12,5691 | |
2,4610 | 10,9063 | 3,3763 | 12,6012 | |
2,3860 | 10,7762 | 3,4845 | 12,5762 | |
2,4603 | 11,0063 | 3,5623 | 12,8322 | |
2,5608 | 11,1096 | 3,2989 | 12,6958 | |
2,5490 | 11,0053 | 3,3418 | 12,6453 | |
2,6266 | 11,2088 | 3,0959 | 12,7432 | |
2,6780 | 11,1782 | 3,5105 | 12,7964 | |
2,5855 | 11,2655 | 3,4436 | 12,9768 | |
2,7614 | 11,1635 | 3,3234 | 12,9798 | |
2,7701 | 11,0218 | 3,5326 | 12,6765 | |
2,6295 | 11,3818 | 3,5354 | 12,9210 | |
2,8943 | 11,3931 | 3,4073 | 13,1651 | |
2,7546 | 11,3363 | 3,5550 | 13,0224 | |
2,6718 | 11,4063 | 3,7238 | 12,9771 | |
2,5894 | 11,4339 | 3,4601 | 13,2101 | |
2,7720 | 11,4383 | 3,8369 | 13,1746 | |
2,7801 | 11,4330 | 3,6568 | 13,2349 | |
2,8225 | 11,5932 | 3,7506 | 13,2264 | |
2,8470 | 11,5474 | 3,8017 | 13,4782 | |
3,1177 | 11,8081 | 3,6101 | 13,2060 |
Вариант 10
Номера строк | Линия №1 | Линия №2 | Линия №1 | Линия №2 |
2,0782 | 15,1268 | 2,8933 | 17,5982 | |
1,9616 | 15,1167 | 3,1359 | 17,5224 | |
2,2599 | 14,9671 | 3,0086 | 17,8465 | |
1,9078 | 15,2480 | 2,9506 | 17,7319 | |
2,0055 | 15,1909 | 2,9328 | 17,8243 | |
2,1594 | 15,3199 | 2,9827 | 17,8349 | |
2,0939 | 15,5030 | 2,9937 | 17,9145 | |
2,0946 | 15,5197 | 2,8486 | 17,8596 | |
2,1217 | 15,5251 | 3,1931 | 17,9530 | |
2,1918 | 15,6563 | 3,1052 | 18,0024 | |
2,2193 | 15,6256 | 2,9314 | 18,3758 | |
2,2040 | 15,7092 | 3,0720 | 18,2955 | |
2,2659 | 15,7066 | 3,1233 | 18,2005 | |
2,2415 | 15,7379 | 3,1833 | 18,2560 | |
2,3442 | 15,9119 | 3,0263 | 18,5612 | |
2,4048 | 15,9342 | 3,1090 | 18,4288 | |
2,3889 | 15,9684 | 3,0984 | 18,5171 | |
2,2146 | 15,9787 | 3,1094 | 18,8056 | |
2,3860 | 15,8983 | 3,2597 | 18,7536 | |
2,4926 | 15,9809 | 3,2333 | 18,7612 | |
2,5320 | 16,1250 | 3,1677 | 18,7794 | |
2,4811 | 16,2142 | 3,3369 | 18,8391 | |
2,4610 | 16,3563 | 3,3763 | 18,8912 | |
2,3860 | 16,2462 | 3,4845 | 18,8862 | |
2,4603 | 16,4963 | 3,5623 | 19,1622 | |
2,5608 | 16,6196 | 3,2989 | 19,0458 | |
2,5490 | 16,5353 | 3,3418 | 19,0153 | |
2,6266 | 16,7588 | 3,0959 | 19,1332 | |
2,6780 | 16,7482 | 3,5105 | 19,2064 | |
2,5855 | 16,8555 | 3,4436 | 19,4068 | |
2,7614 | 16,7735 | 3,3234 | 19,4298 | |
2,7701 | 16,6518 | 3,5326 | 19,1465 | |
2,6295 | 17,0318 | 3,5354 | 19,4110 | |
2,8943 | 17,0631 | 3,4073 | 19,6751 | |
2,7546 | 17,0263 | 3,5550 | 19,5524 | |
2,6718 | 17,1163 | 3,7238 | 19,5271 | |
2,5894 | 17,1639 | 3,4601 | 19,7801 | |
2,7720 | 17,1883 | 3,8369 | 19,7646 | |
2,7801 | 17,2030 | 3,6568 | 19,8449 | |
2,8225 | 17,3832 | 3,7506 | 19,8564 | |
2,8470 | 17,3574 | 3,8017 | 20,1282 | |
3,1177 | 17,6381 | 3,6101 | 19,8760 |
Индивидуальные задания к лабораторной работе №3
ЗАДАНИЕ: В таблице приведены данные 2-х выборок.
Требуется:
1. Проверить гипотезу о равенстве математических ожиданий этих выборок.
2. Проверить гипотезу о равенстве дисперсий этих выборок.
3. Указать интервал, в котором с 95% надёжностью может находиться отношение дисперсий этих выборок при условии их равенства.
4. Указать интервал, в котором с 95% надёжностью может находиться разность между математическими ожиданиями этих выборок, при условии их равенства.
5. Вычислить выборочный коэффициент корреляции для имеющихся данных и проверить его значимость.
6. 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
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