Данни от сборника
ВЕРОЯТНОСТИ
И
СТАТИСТИКА
ИЗБРАНИ ЗАДАЧИ
П. Копанов В. Нончева С. Христова
Пловдив 2010
Част втора. СТАТИСТИКА
12. Основни понятия в статистиката. Описателна статистика
Основни функции на R: mean (); var(); sd(); summary (); hist ();
12.1.
Доходи
(в долари)
|
20 000 -29 999
|
30 000 -39 999
|
40 000 - 49 999
|
50 000 - 59 999
|
60 000 -69 999
|
70 000 -79 999
|
над 80 000
|
Брой (адвокати)
|
20
|
80
|
230
|
400
|
1700
|
70
|
30
|
12.2. 3,7 3,3 3,3 3,0 3,0 3,0 3,0 2,7 2,7 2,3
12.3
12.4.
Oтговори на въпроса “ИЗПИТВАТЕ ЛИ ЧУВСТВО НА САМОТА?”
|
4,3,2,3,3,2,3,3,2,3,2,3,3,2,3,4,3,3,4,2,3,4,4,3,4,3,3,3,4,4,3,3,4,3,3,3,3,3,3,3,3,3,2,3,1,3,3,3,3,3,4,4,3,2,1,3,4, 4,4,4,3,2,3,3,3,3,3,3,3,3,3,4,3,4,4,4,3,2,3,3,3,4,4,3,3,3,3,2,1,4,3,3,3,4,4,4,3,3,4,3,2,3,4,3,3,4,3,3,3,2,2,3,2,3
|
12.5.
омега 7
|
90, 185, 169, 243, 120, 175, 100, 88, 92, 80, 175, 37, 100, 185, 90, 112, 189, 41, 180, 60, 179, 30, 232, 50, 187, 60, 108, 169, 87, 170, 173, 221, 197, 117, 52, 183, 198, 182, 53, 166, 130, 181, 73, 121, 147, 176, 104, 159, 86, 119, 157, 174, 100, 180, 90, 60, 157, 181, 86, 154, 95, 30, 159, 109, 70, 78, 246, 166, 160, 106, 237, 226, 236, 162, 93, 188, 201, 151, 80, 70, 96, 95, 58 ,165, 154, 58, 163, 100, 110, 167, 100, 104, 130, 231, 157, 90, 204, 108, 133, 167, 90, 76, 168, 106, 98, 175, 170, 55, 80, 255, 58, 158, 206, 85, 70, 159, 173, 90, 55, 166
|
омега 9
|
7800, 6842, 6875, 6962, 7600, 6876, 7045, 7353, 7356, 7760, 7129, 7955, 7710, 6956, 7780, 7007, 6752, 7815, 6895, 7945, 7034, 7995, 6715, 7900, 6861, 7945, 7343, 7011, 7144, 6804, 6843, 6415, 7003, 7351, 8018, 6867, 6681, 6965, 7703, 7190, 7550, 6813, 7709, 7285, 7197, 6909, 7355, 7017, 7359, 7130, 7018, 6993, 7520, 6752, 7580, 7955, 7140, 7147, 7403, 6917, 7405, 7955, 7019, 7335, 7975, 7421, 6444, 7006, 6911, 7025, 6571, 6595, 6607, 6772, 7324, 6697, 6803, 7319, 7520, 7955, 7351, 7035, 7940, 7025, 6991, 7743, 6888, 7600, 7720, 6883, 7620, 7375, 7530, 6437, 7132, 7700, 6732, 7403, 7425, 6959, 7780, 7553, 7100, 7209, 7320, 6883, 6838, 7329, 7800, 6628, 7950, 7160, 6953, 7445, 7977, 7009, 7038, 7680, 7900, 6902
|
13. Оценки на параметри на разпределението. Точкови оценки. Интервални оценки
Основни функции на R: mean (); var(); sd(); t.test ()
13.1.
13.2.
13.3.
13.4.
55,95 56,54 57,58 55,13 57,48 56,06 59,93 58,30 52,57 58,48
13.5.
13.6.
4,4 3,8 5,1 4,6 4,5 4,5 4,8 4,1 3,9 4,2 4,4 4,9
5,0 4,3 4,4 3,6 5,2 4,8 4,4 4,6 4,6 5,0 4,0 4,5
13.7.
13.8.
13.9.
13.10.
13.11.
0,79; 3,60; 6,83; 26,14; 1,38; 14,06; 10,83; 2.35; 0,06; 9,80; 24,69; 3,09; 15,20; 11,73; 21,80; 20,05; 6.89; 7,56; 0.14; 1,45; 5,96; 14,42; 1,53; 11,30; 6,05.
13.12.
3,74; 5,34; 3,75; 4,29; 4,67; 4,51; 5,94; 5,84; 5,82; 5,11; 3,84; 5,69; 4,25; 5,38; 3,73; 5,98; 4,38; 5,10; 5,00.
13.13.
13.14.
0,20; 1,25; 1.28; 0,02; 1,62; 0.88; 1.02; 3,08; 2.63; 1,93; 2,04; 2,42; 2,45; 0,12; 0,28; 0,24; 2,48; 2,59; 0,35; 0.11; 1,04; 0,66; 0,39; 1,64; 1,29; 0,15; 2,74; 2,10; 2,36; 0,02; 2,16; 1.70; 1,24; 0,90; 2,96; 1.27
13.15.
13.16.
49, 50, 51, 50, 52, 49, 50, 51
51, 47, 53, 52, 50, 51, 49
13.17.
7120, 7065, 7080, 7120, 6990, 7007, 6971, 7130, 6882, 7043, 7145, 7065, 7162, 7144, 7020, 7123, 7164, 7159, 7085, 7103, 7068, 7170, 7076, 7243, 7068, 7080, 7035, 7135, 7062, 7200, 7085, 7006, 7025
|
13.18.
7425, 6510, 6801, 6838, 7277, 7770, 7605, 7616, 7815, 7714, 7576, 7235, 7416, 7870, 7747, 7329, 7020, 7328, 7045, 6876, 6962, 6917, 6994, 7189, 7110, 7374, 7593, 7553, 7375, 7743, 7719, 7692, 7527, 7445, 7405, 7471
|
13.19.
Материал А
|
2.915, 2.6, 4.061, 4.398, 4.025, 2.84, 3.253, 2.25, 4.83, 2.406, 4.502, 4.547, 4.132, 2.812, 1.736, 4.403, 3.794, 4.396, 4.259, 3.132
|
Материал В
|
4.39, 4.694, 3.388, 4.226, 4.505, 5.608, 2.75, 3.199, 3.604, 2.451, 2.469, 3.516, 4.323, 5.175, 5.004, 4.202, 4.41, 3.577, 4.946, 3.57, 4.492, 4.633, 3.368, 4.967, 3.378
|
стойности Xj
|
7,85
|
7,9
|
7,95
|
8
|
8,05
|
честота nj
|
1
|
2
|
3
|
2
|
3
|
13.20.
13.21.
СТОЙНОСТИ Xj
|
24,85
|
24,95
|
25,00
|
25,10
|
25,15
|
25,20
|
честота nj
|
2
|
3
|
4
|
2
|
1
|
1
|
13.22.
стойности Xj
|
108
|
109
|
109,5
|
110
|
110,5
|
честоти nj
|
1
|
2
|
2
|
4
|
1
|
13.23.
260 216 259 206 265 284 291 229 249
13.24.
135.25, 186.09, 110.94, 211.20, 209.40, 159.54, 164.40, 154.90, 230.50, 207.10, 192.98, 210.90, 156.39.
14. Проверка на хипотези за средна стойност на нормална популация
Функция на R: t.test()
14.1.
Резултати от IQ теста
|
115, 124, 107, 106, 109, 99, 121, 95, 118, 111, 115, 114, 131, 119, 104, 125, 115, 119, 94, 122, 116, 116, 119, 124, 106, 107, 122, 113, 105, 120, 105, 110, 106, 119, 115
|
14.2.
14.3.
55,95 56,54 57,58 55,13 57,48 56,06 59,93 58,30 52,57 58,48
14.4.
14.5.
4,4 3,8 5,1 4,6 4,5 4,5 4,8 4,1 3,9 4,2
4,4 4,9 5,0 4,3 4,4 3,6 5,2 4,8 4,4 4,6
4,6 5,0 4,0 4,5
14.6.
14.7.
14.8.
14.9.
14.10.
14.11.
14.12.
14.13.
1.006
|
1.013
|
1.015
|
0.987
|
1.006
|
0.997
|
1.002
|
1
|
1.006
|
1.013
|
0.996
|
0.997
|
0.986
|
0.99
|
1.012
|
0.999
|
0.993
|
0.986
|
1.003
|
0.986
|
0.995
|
0.992
|
0.994
|
1.012
|
1.003
|
1.009
|
0.992
|
0.999
|
1.013
|
1.002
|
0.989
|
1.007
|
0.997
|
0.987
|
1.001
|
0.995
|
0.998
|
0.989
|
0.993
|
0.996
|
1
|
0.997
|
1.008
|
1.008
|
1.006
|
1.006
|
0.987
|
0.998
|
0.994
|
1.002
|
1.009
|
0.988
|
0.999
|
1.003
|
0.992
|
0.996
|
0.994
|
0.99
|
0.988
|
0.992
|
0.992
|
0.995
|
1.012
|
1.013
|
0.997
|
0.986
|
1.001
|
0.99
|
1.008
|
1.004
|
1.005
|
1
|
0.999
|
1.002
|
1.008
|
0.988
|
1.009
|
0.993
|
0.99
|
1.01
|
0.997
|
1.008
|
1.011
|
1.007
|
1.006
|
0.993
|
1.001
|
0.986
|
0.987
|
1.002
|
1.014
|
1.006
|
1.001
|
0.986
|
1.009
|
0.991
|
1.001
|
0.993
|
1.01
|
1.007
|
1.008
|
1.008
|
1.012
|
0.989
|
0.999
|
0.988
|
0.988
|
0.99
|
0.987
|
0.996
|
1.013
|
1.009
|
1.014
|
0.989
|
0.993
|
0.988
|
0.988
|
1
|
0.99
|
1.007
|
0.997
|
0.995
|
1.008
|
1.013
|
1.011
|
0.996
|
1.013
|
1.01
|
0.996
|
0.989
|
1.008
|
1.014
|
0.996
|
0.991
|
0.989
|
1.002
|
1.005
|
1.006
|
0.991
|
0.993
|
0.988
|
1.013
|
0.993
|
0.996
|
1.014
|
14.14.
6, 9, 7, 5, 11, 5, 10, 8, 7, 10, 8, 8, 7, 2, 9, 6, 5, 8, 4, 5, 4, 6, 8, 10, 6, 6, 6, 5, 8, 7, 9, 6, 9, 8, 8, 7, 10, 10, 9, 9, 8, 10, 3, 7, 4, 9, 4, 8, 5, 8, 12, 7, 6, 4, 10, 5, 7, 5, 11, 7, 9, 6, 5, 8, 6, 8, 9, 7, 9, 3, 7, 9, 8, 7, 8, 7, 9, 4, 4, 7
|
14.15.
Твърдост по Бринел на сферографитен чугун
|
172.24, 179.88, 176.99, 191.35, 175.90, 179.92, 177.00, 187.77, 184.93, 182.19, 171.38, 181.13, 185.22, 175.30, 181.31, 201.29, 191.54, 151.34, 186.30, 165.46, 173.65, 177.61, 174.70, 179.30, 181.36, 176.29, 176.90, 161.14, 183.94, 179.57, 190.46, 188.39, 186.98, 177.08, 187.02
|
14.16.
Якост на стоманена нишка след въвеждането на новия производствен процес
|
61.05, 47.18, 48.41, 51.48, 53.55, 48.25, 55.07, 43.93, 47.78, 56.46, 56.93, 47.93, 52.01, 47.82, 49.61, 54.98, 65.29, 45.62, 50.80, 46.95, 57.68, 52.27, 53.92, 60.84, 59.50, 62.60, 59.27, 54.96, 42.76, 54.40, 50.66, 53.44, 56.63, 50.35, 43.24, 50.66, 60.32, 45.84, 54.88, 41.32
|
15. Точкова оценка, доверителен интервал и проверка на хипотези за алтернативни популации.
15.1.
15.2.
15.3.
15.4.
15.5.
15.6.
15.7.
8/56
|
13/55
|
12/58
|
13/56
|
14/57
|
5/54
|
14/56
|
15/57
|
11/54
|
13/55
|
10/57
|
8/59
|
10/54
|
11/55
|
12/56
|
11/57
|
6/54
|
7/58
|
12/58
|
14/58
|
15.8.
15.9.
15.10.
16. Проверка на хипотези за две популации
Основни функции на R: t.test (); var.test ()
16.1.
Бял щъркел
|
4.58, 3.06, 2.45, 3.98, 1.40, 5.71, 4.08, 4.70, 2.55, 2.37, 3.70, 4.10, 2.12, 4.10, 3.07, 4.20, 3.98, 2.46, 3.17, 3.94, 2.67, 2.72, 4.01, 2.49, 2.75, 3.44, 4.00, 3.40, 2.61, 3.23, 4.87, 3.04, 4.15, 3.10, 0.81, 3.93, 3.43, 4.36, 3.76, 2.26, 3.54, 2.88
|
Черен щъркел
|
3.01, 2.96, 2.98, 2.92, 3.02, 3.04, 3.00, 3.03, 2.97, 2.97, 2.94, 3.04, 2.96, 2.97, 3.01, 2.82, 3.03, 3.03, 3.01, 3.02, 2.92, 3.01, 2.91, 2.98, 3.03, 3.02, 2.95, 3.04, 3.06, 3.02, 3.08, 2.97, 3.02, 2.87, 2.97
|
16.2.
Шофьор
|
1
|
2
|
3
|
4
|
5
|
Марка A
|
150
|
146
|
160
|
155
|
152
|
Марка B
|
152
|
145
|
160
|
157
|
154
|
16.3.
|
Брой телефони
|
Брой дефектни
|
Клон A
|
100
|
1
|
Клон B
|
100
|
5
|
16.4.
|
Момчета
|
Момичета
|
брой
|
40
|
40
|
Средно време
|
10
|
11
|
Стандартно отклонение
|
3
|
2
|
16.5.
касиер
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
стара
|
60
|
70
|
55
|
75
|
62
|
52
|
58
|
нова
|
65
|
71
|
55
|
75
|
65
|
57
|
57
|
16.6.
Вид сблъсък
|
разходи- Neon
|
разходи- Civic
|
Предна броня в бариера
|
363
|
420
|
Задна броня в бариера
|
88
|
462
|
Предна броня в наклонена бариера
|
420
|
409
|
Задна броня в стълб
|
1,131
|
236
|
16.7.
|
Група с Zyprexa
|
Група с плацебо
|
брой
|
55
|
60
|
Средно въздействие
|
14,8
|
8.1
|
Стандартно отклонение
|
12.5
|
12.7
|
16.8.
16.9.
С лекарство
|
2.1
|
5.3
|
1.4
|
4.6
|
0.9
|
Без лекарство
|
1.9
|
0.5
|
2.8
|
3.1
|
|
16.10.
16.11.
16.12.
Ca
|
7
|
-4
|
18
|
17
|
-3
|
-5
|
1
|
10
|
11
|
-2
|
|
Placebo
|
-1
|
12
|
-1
|
-3
|
3
|
-5
|
5
|
2
|
-11
|
-1
|
-3
|
16.13.
|
Съдържание на линолевата киселина в зехтин (в %x100)
|
Източна Лигурия
|
1020, 1000, 1030, 990, 1050, 830, 880, 900, 970, 980, 990, 850, 860, 910, 1040, 940, 930, 1010, 730, 690, 960, 1020, 1010, 850, 1030, 940, 820, 810, 920, 1010, 930, 910, 900, 830, 840, 910, 850, 830, 800, 770, 760, 810, 750, 950, 870, 790, 810, 970, 870, 740
|
Калабрия
|
832, 950, 874, 940, 903, 892, 915, 870, 820, 823, 798, 829, 819, 840, 866, 870, 877, 928, 897, 757, 839, 786, 939, 925, 780, 743, 787, 872, 771, 819, 828, 618, 818, 633, 616, 923, 638, 609, 759, 869, 702, 855, 857, 823, 949, 790, 783, 738, 763, 780, 826, 810, 709, 898, 861, 848
|
16.14.
Година
|
Температура на морската вода
|
1993
|
22.68, 24.01, 23.42, 22.89, 23.54, 23.91, 23.37, 21.84, 23.88, 22.81, 22.81, 24.43, 23.41, 24.05, 23.67, 23.93, 24.43, 23.95, 21.99, 24.55, 24.08, 22.59, 23.50, 24.62, 23.43
|
1997
|
28.08, 28.51, 28.78, 28.25, 28.35, 26.85, 26.64, 26.83, 27.68, 28.05, 27.59, 28.26, 28.03, 28.20, 26.64, 27.60, 27.62, 28.55, 28.81, 28.94, 27.51, 28.45, 28.28, 28.24, 28.24
|
16.15.
Съдържанието на мазнините в % за 100 гр продукт
|
2.343, 1.922, 1.587, 1.736, 0.461, 1.800, 1.409, 0.884, 2.999, 3.519, 2.219, 2.399, 1.037, 2.345, 0.865, 3.397, 2.744, 2.484, 2.828, 2.470, 3.136, 1.403, 0.691, 0.865, 1.974, 2.150, 0.666, 1.409, 2.443, 1.658
|
2.098, 1.689, 2.269, 3.579, 2.703, 3.327, 1.631, 2.778, 2.458, 1.899, 1.120, 3.048, 2.375, 2.909, 1.757, 1.561, 0.480, 2.791, 2.353, 2.639, 1.896, 2.116, 1.500, 1.220, 2.091, 3.863, 1.720, 2.041, 2.323, 1.065
|
16.16.
Съдържание на белтъчини
|
Съдържание на въглехидрати
|
3.52, 3.52, 3.46, 3.60, 3.58, 3.54, 3.48, 3.50, 3.52, 3.35, 3.57, 3.43, 3.47, 3.45, 3.49, 3.49, 3.52, 3.59, 3.47, 3.49, 3.48, 3.54, 3.55, 3.45, 3.51, 3.44, 3.56, 3.65, 3.43, 3.47, 3.46, 3.47, 3.49, 3.44, 3.41, 3.42, 3.53, 3.47, 3.48, 3.57, 3.40, 3.48, 3.43, 3.46, 3.60
|
4.24, 4.19, 4.23, 4.13, 4.14, 4.26, 4.12, 4.30, 4.20, 4.12, 4.06, 4.23, 4.17, 4.16, 4.15, 4.16, 4.23, 4.19, 4.18, 4.20, 4.29, 4.17, 4.14, 4.26, 4.24, 4.34, 4.21, 4.21, 4.24, 4.16, 4.22, 4.31, 4.12, 4.25, 4.14, 4.20, 4.26, 4.24, 4.14, 4.22, 4.27, 4.24, 4.26, 4.12, 4.22
|
16.17.
пациент
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
Окото с глаукома
|
488
|
478
|
480
|
426
|
440
|
410
|
458
|
460
|
Окото без глаукома
|
484
|
478
|
492
|
444
|
436
|
398
|
464
|
476
|
16.18.
Северна област: 157; 202; 175; 174; 199; 194; 195; 201;178 179; 170; 194; 158; 180; 205; 204; 162; 203; 203; 181; 174; 198
Централна област: 186; 169; 159; 173; 177; 159; 160; 194; 177; 161; 185; 201; 165; 163; 171; 173; 189; 193; 195; 162; 156; 174; 178; 196; 161; 203; 180; 182; 176; 158; 191; 158; 194; 174; 203; 195; 155; 196; 177; 180; 158; 183
Южна област: 183; 190; 165; 184; 165; 179; 183; 180; 177; 192; 184; 167; 161; 188; 167; 186; 194; 190; 180; 194; 195; 168; 192; 180; 159; 182; 180; 157; 164; 192; 169; 170; 156
17. Проверка на хипотези за нормалност на популация.
Основни функции на R: shapiro.test (); ks.test().
17.1.
Женски сурикат
|
45.05, 45.30, 46.19, 46.19, 44.72, 45.09, 44.86, 44.25, 46.72, 46.14, 46.94, 45.26, 47.14, 46.03, 46.82, 44.89, 44.36, 46.51, 45.92, 45.02, 44.41, 45.23, 46.06, 45.90, 45.65, 46.56, 48.29, 46.30, 45.65, 45.63, 46.16, 45.88, 45.59, 46.80, 45.10, 47.99, 44.43, 43.81, 46.00, 47.31, 46.53, 46.62, 46.20, 46.27, 46.14, 45.71, 44.52, 45.50, 45.24, 45.38, 44.58, 46.59, 46.95, 46.37, 47.11, 46.44, 46.11, 43.88, 45.46, 46.29, 45.82, 45.67, 47.40, 45.87, 45.71, 46.13, 47.80, 45.53, 46.87, 44.63
|
Мъжки сурикат
|
50.84, 50.82, 48.36, 49.89, 49.49, 49.81, 51.28, 49.77, 48.79, 49.86, 49.60, 48.49, 51.39, 50.37, 49.74, 49.80, 49.97, 49.84, 50.55, 49.41, 48.58, 50.32, 50.78, 48.29, 47.63, 49.54, 49.67, 51.72, 51.08, 48.74, 49.32, 49.47, 51.76, 49.86, 50.24, 51.00, 49.67, 49.50, 50.05, 47.72, 52.26, 48.48, 50.60, 49.99, 48.71, 49.77, 50.07, 48.43, 47.95, 49.61, 49.38, 49.56, 51.83, 50.29, 50.44, 50.42, 47.58, 49.88, 49.82, 48.80, 50.30, 49.27, 47.42, 49.73, 49.60, 51.12, 50.49, 50.12, 48.80, 50.85, 49.74, 50.31, 50.54, 52.36, 49.92
|
17.2.
АФРИКАНСКИ СЛОН
|
6.69 6.25 6.02 6.79 6.41 6.16 6.25 6.41 6.19 6.06 6.04 7.67 6.89 6.39 6.29 6.81 6.74 6.37 6.47 6.41 6.59 6.33 6.35 6.35 6.10 6.24 5.91 6.12 6.32 5.54 6.36 6.05 5.96 6.70 6.90 6.64 6.36 6.63 6.51 6.24 6.08 6.92 6.48 6.51 6.74 6.15 6.57 6.61 6.39 5.86 6.49 6.57 6.28 6.37 6.64 6.10 6.62 6.76 6.24 6.34 5.33 5.58 6.47 6.24 6.23 6.92 6.94
|
АЗИАТСКИ СЛОН
|
6.18 6.16 6.22 6.26 6.25 6.262 6.19 6.20 6.12 6.19 6.17 6.20 6.18 6.16 6.25 6.20 6.20 6.17 6.26 6.26 6.22 6.25 6.20 6.28 6.17 6.21 6.17 6.21 6.23 6.19 6.17 6.16 6.22 6.13 6.12 6.23 6.16 6.19 6.12 6.16 6.23 6.15 6.29 6.18 6.20 6.16 6.19 6.20 6.21 6.17 6.24 6.21 6.19 6.23 6.17 6.17 6.18 6.22 6.25 6.16 6.18 6.26 6.30 6.17 6.19 6.27 6.11 6.19 6.27 6.23 6.25 6.24 6.19
|
17.3.
Температура на въздуха около Коледа 1997 година
|
27.79, 27.13, 27.05, 28.30, 27.27, 26.91, 26.99, 27.23, 27.59, 26.36, 26.35, 27.79, 27.43, 26.94, 26.67, 28.18, 26.39, 26.74, 26.59, 28.40, 27.68, 26.91, 27.28, 26.98, 27.67, 27.09, 28.37, 27.74, 27.28, 27.67
|
Температура на въздуха около Коледа 1993 година
|
22.35, 22.83, 23.62, 24.42, 24.34, 23.62, 23.26, 22.22, 22.94, 23.78, 22.09, 22.19, 23.54, 23.20, 22.86, 22.69, 23.75, 22.35, 24.62, 23.94, 23.65, 22.55, 24.80, 22.24, 22.83, 24.80, 23.65, 23.38, 23.38, 22.98
|
17.4.
Процентно съдържание на олеинова киселина (в %x100) в 33 шишета италиански зехтин, произведен в остров Сардиня
|
7172, 7820, 7417, 7650, 6928, 6806, 7840, 7900, 6499, 6504, 7620, 6608, 6948, 7771, 7323, 7025, 7030, 7123, 7277, 7416, 7375, 7714, 7955, 6913, 7553, 7650, 7229, 7086, 6595, 7011, 7540, 8018, 6752, 7130, 7760, 6737, 7000, 6994, 7955, 7395, 7380, 7285, 6961, 7327, 6923, 7680, 7415, 7965, 7383, 7580, 7620, 6630, 7107, 6300, 7105, 6898, 7958, 7103, 7006, 6997
|
17.5.
Материал А
|
7.4, 6.25, 7.94, 7.47, 7.83, 9.5, 7.36, 7.34, 12.45, 9.53, 7.63, 10.07, 6.97, 7.77, 7.88, 7.98, 6.6, 6.18, 10.29, 4.49, 6.66, 8.07, 10.26, 9.35, 9.48, 6.34, 5.46, 6.71, 12.62, 7.03
|
Материал В
|
9.17, 10.65, 11.60, 11.36, 12.42, 9.6, 8.92, 11.48, 10.71, 7.54, 8.29, 4.92, 9.57, 9.39, 6.42, 11.89, 9.35, 8.08, 8.58, 8.25, 6.91, 7.88, 6.13, 11.03, 8.82, 11.65, 10.62, 5.01, 9.55, 12.69
|
17.6.
2,20; 1,27; 1,28; 1,02; 1,42; 0,88; 1,65; 3,08; 2,63; 1,95; 2,44; 2,77; 2,45; 0,52; 0,28; 0,35; 2,48; 2,60; 0,45; 0.11.
17.7.
интервали (aj-1,aj]
|
(100;108]
|
(108;116]
|
(116;124]
|
(124;132]
|
(132;140]
|
абсолютни честоти nj
|
3
|
7
|
12
|
6
|
2
|
17.8.
интервали (aj-1,aj]
|
(3,8; 4,4]
|
(4,4; 5,0]
|
(5,0 ; 5,6]
|
(5,6; 6,2]
|
абсолютни честоти nj
|
1
|
7
|
9
|
2
|
18. Непараметрични тестове
Основни функции на R: wilcox.test (); bartlett.test()
18.1.
Данни за отклонението на нивото на водата на язовир около желаното
|
0.38, -1.04, -1.85, -0.43, 0.94, -0.77, -0.52, -1.57, -0.27, -1.80, -1.32, -0.30, -1.52, 0.68, -1.04, -1.46, -1.87, -2.13, -0.26, 2.89, 1.02, -1.59, 0.20, 0.28, -2.00, -2.30, -2.12, -2.06, -0.12, 0.44
|
18.2.
18.3.
808
|
882
|
1062
|
970
|
909
|
802
|
374
|
416
|
784
|
997
|
61
|
716
|
438
|
1420
|
1425
|
948
|
1050
|
976
|
572
|
403
|
626
|
774
|
1253
|
549
|
1325
|
446
|
465
|
696
|
671
|
1269
|
1156
|
684
|
1933
|
748
|
1203
|
2436
|
1255
|
110
|
1025
|
2610
|
18.4.
Съдържание на еритроцити в кръвта на мъжете:
0.52 0.48 0.58 0.48 0.40 0.44 0.42 0.52 0.48 0.47 0.43 0.51 0.43 0.40 0.39 0.48 0.42 0.41 0.37 0.49 0.40 0.47 0.54 0.44 0.44 0.36 0.40 0.48 0.40 0.49 0.43 0.38 0.46 0.41 0.50 0.35 0.61 0.36 0.43 0.54 0.41 0.48 0.52 0.43 0.49 0.42 0.44 0.50 0.52 0.54 0.45 0.42 0.53 0.51 0.44 0.52 0.43 0.50 0.47 0.51 0.49 0.47 0.38 0.49 0.53 0.59 0.47 0.40 0.42 0.52 0.45 0.55 0.44 0.33 0.31 0.55 0.40 0.46 0.54 0.45 0.49 0.43 0.56 0.47 0.41 0.48 0.52 0.52 0.42 0.41 0.33 0.35 0.40 0.36 0.41 0.29 0.50 0.47 0.57 0.47 0.44 0.46 0.51 0.39 0.49 0.48 0.46 0.49 0.49 0.43 0.49 0.47 0.54 0.50 0.46 0.41 0.40 0.51 0.48 0.40
|
Съдържание на еритроцити в кръвта на жените:
0.41 0.45 0.49 0.43 0.38 0.48 0.47 0.40 0.43 0.39 0.48 0.46 0.38 0.37 0.45 0.47 0.39 0.46 0.40 0.43 0.39 0.47 0.49 0.43 0.39 0.44 0.49 0.42 0.43 0.45 0.49 0.51 0.53 0.44 0.43 0.44 0.46 0.46 0.35 0.31 0.46 0.42 0.37 0.39 0.49 0.44 0.49 0.38 0.41 0.40 0.45 0.46 0.35 0.42 0.33 0.49 0.42 0.33 0.41 0.41 0.33 0.41 0.39 0.44 0.40 0.35 0.44 0.40 0.44 0.40 0.37 0.37 0.44 0.37 0.45 0.45 0.39 0.38 0.49 0.40 0.43 0.51 0.46 0.36 0.47 0.39 0.46 0.43 0.30 0.36 0.54 0.37 0.45 0.43 0.35 0.38 0.42 0.44 0.50 0.43 0.44 0.43 0.43 0.42 0.49 0.36 0.34 0.42 0.41 0.32 0.42 0.45 0.47 0.44 0.54 0.38 0.53 0.45 0.40 0.32 0.41 0.44 0.44 0.40 0.42 0.38 0.47 0.46 0.41 0.45 0.49 0.40 0.39 0.48 0.35 0.35 0.35 0.38 0.44 0.38 0.50 0.38 0.44 0.44 0.38 0.43 0.47 0.43 0.48 0.42 0.46 0.45 0.41 0.38 0.38 0.41 0.40 0.48 0.49 0.44 0.48 0.45 0.47 0.41 0.42 0.33 0.46 0.37 0.38 0.42 0.41 0.45 0.30
|
18.5.
Дължини на полипептидни верига при Drosophila melanogaster
|
938 940 1014 990 1011 1025 1085 1083 1074 961 114 3042 1050 974 1045 968 995 968 989 971 1000 963 1160 1101 958 1031 1140 1062 959 1095 1110 1046 926 961 1048 1028 1085 1029 1020 1046
|
Дължини на полипептидни вериги при Arabidopsys thaliana
|
1055 1073 1033 1103 1180 1169 1037 1133 998 1126 1094 1130 1161 1031 1121 1032 1072 1086 1229 996 1144 1069 1051 1056 1133 1137 1017 1178 1151 1125 1125 1056 1075 1014 1172 1100 1160 1085 1196 1043
|
18.6.
Размерите на невронните клетки от извадката:
|
31.50, 36.41, 40.80, 40.84, 37.83, 42.88, 41.08, 39.18, 38.92, 36.46, 45.95, 43.83, 39.20, 41.80, 35.95, 33.54, 35.13, 40.84, 43.42, 40.00, 38.22, 47.22, 36.17, 44.61, 40.41, 41.13, 35.81, 37.48, 38.97, 43.78
|
Размерите на мускулните влакна от извадката:
|
11.03, 10.96, 11.01, 11.00, 10.98, 10.98, 11.00, 10.93, 11.06, 11.03, 11.03, 11.02, 10.90, 10.87, 10.96, 11.02, 11.01, 11.05, 11.03, 11.07, 11.03, 10.99, 10.96, 10.95, 10.96, 11.11, 11.10, 11.03, 11.07, 11.00
|
18.7
|
1970
|
1980
|
1990
|
1995
|
2000
|
2005
|
2006
|
2007
|
2008
|
Градове
|
18.0
|
15.7
|
12.6
|
8.8
|
9.5
|
9.6
|
10.1
|
10.4
|
10.8
|
Села
|
14.6
|
12.4
|
10.9
|
8.0
|
8.1
|
8.1
|
8.3
|
8.5
|
8.7
|
18.8
Височина на плевенските коне от извадката:
|
161.48, 161.54, 161.21, 162.05, 163.20, 161.56, 159.94, 161.27, 161.71, 161.31, 161.53, 161.63, 162.23, 160.17, 161.22, 161.07, 162.96, 161.47, 161.50, 161.66, 161.35, 161.22, 161.74, 161.96, 162.18, 161.62, 162.46, 160.55, 161.17, 161.77, 161.94, 161.93, 162.53, 160.72, 161.60
|
Височина на каракачанските коне от извадката:
|
127.70, 127.23, 128.07, 127.02, 127.57, 127.63, 127.69, 127.81, 128.07, 127.91, 127.80, 128.09, 128.62, 127.90, 128.72, 127.66, 127.94, 127.64, 127.92, 128.23, 128.32, 127.62, 127.70, 128.21, 127.75, 128.35, 127.89, 128.23
|
18.9.
18.10.
пенсионери
|
39, 44, 44, 40, 42, 43, 44, 43, 38, 39, 39, 38, 43, 40, 40, 42, 38, 44, 41, 46, 44, 41, 45, 44, 42, 44, 40, 35, 45, 41, 47, 46, 40, 45, 43, 40, 41, 39, 38, 36, 41, 39, 42, 39, 40, 46, 39, 39, 39, 45
|
тийнейджъри
|
33, 13, 19, 27, 18, 30, 12, 33, 25, 24, 28, 26, 24, 29, 26, 27, 23, 23, 25, 26, 30, 21, 16, 24, 25, 26, 27, 21, 30, 26, 28, 28, 29, 20, 19, 27, 16, 23, 26, 29, 22, 20, 23, 24, 27, 27, 18, 20, 13, 30, 24, 25, 26, 27, 21, 30, 26, 28, 28, 29
|
18.11.
Пол
|
Тегло (g)
|
♂ (9)
|
1234, 1080, 1182, 820, 1120, 1498, 929 ,1090, 1029
|
♀ (14)
|
1080, 676, 981, 997, 1053, 739, 709, 1066, 1043, 760, 840, 888, 1015
|
19. Елементи на регресионния анализ
Основни функции на R са: lm(); plot(); cor(); summary()
19.1.
Мастни киселини
|
Съдържанието на палмитиновата и стеариновата мастни киселини в извадка от 60 липидни фракции на италиански зехтин (% x100)
|
almitic
|
1213, 1348, 1272, 1020, 1131, 1105, 1527, 1283, 1092, 1387, 1284, 1306, 1020, 1076, 1255, 1065, 1336, 1075, 1252, 1340, 1085, 961, 1590, 1463, 1355, 1290, 1176, 1267, 1160, 1412, 1107, 1514, 1100, 1040, 911, 1070, 1178, 1457, 1180, 1118, 1120, 1090, 1090, 1055p, 1387, 1394, 1360, 1220, 1393, 1090, 1438, 960, 1241, 1060, 905, 1517, 1400, 1419, 1207, 1140
|
stearic
|
245, 183, 205, 220, 208, 373, 232, 196, 210, 204, 265, 226, 260, 202, 223, 245, 223, 200, 181, 189, 180, 195, 195, 183, 214, 260, 205, 300, 230, 217, 220, 298, 250, 250, 268, 188, 241, 267, 250, 199, 240, 190, 220, 175, 206, 223, 176, 240, 211, 192, 248, 200, 268, 175, 288, 249, 270, 207, 156, 220
|
x
|
4.11
|
5.18
|
4.52
|
5.49
|
4.89
|
1.11
|
y
|
56.2
|
40.0
|
45.9
|
45.3
|
38.5
|
32.4
|
19.2.
x
|
5.35
|
2.09
|
0.6
|
6.53
|
1.40
|
3.80
|
y
|
31.0
|
50,0
|
18.2
|
30.1
|
45.8
|
56.1
|
19.3.
мастна киселина
|
Процентно съдържание на оmega ненаситените мастни киселини, открити в 60 липидни фракции на италиански зехтин (% x100)
|
Оmega-7
(palmitoleic)
|
112, 154, 207, 100, 87, 69, 260, 153, 37, 154, 93, 149, 90, 77, 103, 45, 185, 91, 180, 114, 70, 70, 241, 183, 144, 60, 75, 101, 70, 185, 75, 162, 90, 90, 49, 75, 92, 182, 80, 85, 90, 60, 60, 60, 182, 164, 163, 80, 128, 58, 206, 90, 97, 75, 49, 206, 90, 192, 151, 180
|
Оmega-9
(oleic)
|
7007, 6917, 7152, 7530, 7170, 7714, 6488, 7107, 7955, 6991, 7235, 7082, 7620, 7243, 7395, 7779, 6956, 7410, 7055, 7337, 7955, 7958, 6705, 6747, 6972, 7550, 7396, 7230, 7860, 6842, 7399, 6725, 7680, 7780, 7924, 7980, 7006, 7020, 7870, 7415, 7068, 7950, 7890, 7985, 7100, 7086, 6901, 7610, 7189, 7950, 6806, 7810, 7499, 7975, 7747, 6680, 7420, 6996, 7159, 7610
|
19.4.
|
Обявена цена
|
Продажна цена
|
|
Обявена цена
|
Продажна цена
|
|
Обявена цена
|
Продажна цена
|
1
|
382000
|
399900
|
21
|
222000
|
249900
|
41
|
66400
|
69900
|
2
|
166000
|
189900
|
22
|
285000
|
323900
|
42
|
154000
|
158900
|
3
|
145000
|
154900
|
23
|
320000
|
379000
|
43
|
70900
|
70900
|
4
|
465000
|
479500
|
24
|
145000
|
154888
|
44
|
280000
|
299000
|
5
|
105000
|
107500
|
25
|
118000
|
139000
|
45
|
190000
|
205000
|
6
|
190000
|
199900
|
26
|
205000
|
214900
|
46
|
89900
|
89900
|
7
|
132000
|
139900
|
27
|
147500
|
159000
|
47
|
638000
|
675000
|
8
|
273000
|
289000
|
28
|
309000
|
319000
|
48
|
384900
|
384900
|
9
|
50000
|
50000
|
29
|
166000
|
174900
|
49
|
173000
|
184900
|
10
|
167000
|
189900
|
30
|
114500
|
117000
|
50
|
126000
|
134900
|
11
|
191150
|
191900
|
31
|
355000
|
369900
|
51
|
430000
|
439900
|
12
|
210000
|
219900
|
32
|
176000
|
179000
|
52
|
825000
|
875000
|
13
|
235000
|
243000
|
33
|
250000
|
250000
|
53
|
290000
|
314900
|
14
|
202500
|
225000
|
34
|
158000
|
165000
|
54
|
149000
|
149900
|
15
|
275000
|
295000
|
35
|
315000
|
315000
|
55
|
182000
|
182000
|
16
|
142750
|
145500
|
36
|
71000
|
75000
|
56
|
179000
|
179000
|
17
|
71900
|
73900
|
37
|
71000
|
79900
|
57
|
440000
|
459000
|
18
|
249900
|
249900
|
38
|
280000
|
289000
|
58
|
63750
|
74900
|
19
|
103000
|
105500
|
39
|
150000
|
159000
|
59
|
350000
|
359000
|
20
|
428000
|
439000
|
40
|
158000
|
165000
|
|
|
|
19.5.
Кости Мускули Черен дроб Кожа
[1] 1.755 1.617 7.389 1.731
[2] 1.886 1.671 10.347 1.970
[3] 1.780 1.578 5.036 1.338
[4] 0.790 0.657 3.439 1.046
[5] 1.278 1.629 10.426 1.495
[6] 1.687 2.231 14.749 2.363
[7] 1.906 1.060 8.401 1.519
[8] 0.875 0.905 3.658 1.229
[9] 1.467 1.102 3.357 1.603
[10] 1.776 1.085 5.624 1.887
[11] 1.199 0.903 2.043 1.633
[12] 1.056 0.760 3.017 1.046
[13] 1.871 1.193 4.122 2.081
[14] 1.796 1.212 8.270 2.926
[15] 1.192 0.540 3.233 1.962
[16] 1.379 0.950 3.273 1.679
[17] 1.856 1.338 3.977 1.295
[18] 2.189 1.846 13.911 1.723
[19] 0.859 1.313 10.788 1.253
[20] 1.039 0.690 6.519 1.154
[21] 1.741 1.543 4.893 2.109
[22] 2.877 1.717 16.344 2.646
[23] 2.024 1.585 11.233 1.670
[24] 0.934 0.777 5.331 1.063
[25] 0.316 0.187 1.888 0.778
[26] 1.050 1.022 2.395 1.200
[27] 1.180 0.588 2.003 0.801
[28] 0.430 0.116 1.999 0.894
[29] 0.505 0.182 1.833 0.998
[30] 0.892 0.521 3.200 1.112
[31] 0.480 0.112 1.321 0.996
[32] 0.347 0.096 1.160 0.979
[33] 0.218 0.151 2.005 0.546
[34] 0.339 0.108 2.615 0.566
[35] 0.270 0.127 2.378 0.519
[36] 0.219 0.050 2.335 0.345
|
Кости Мускули Черен дроб Кожа
[37] 0.586 0.345 3.213 0.420
[38] 0.810 0.351 5.073 0.473
[39] 0.355 0.276 1.843 0.265
[40] 0.275 0.187 1.385 0.182
[41] 1.031 0.230 5.757 0.801
[42] 1.352 0.984 11.150 0.709
[43] 0.663 0.896 4.325 0.680
[44] 0.346 0.913 3.175 0.777
[45] 1.401 0.700 7.805 0.992
[46] 1.778 1.220 17.003 1.042
[47] 0.911 0.700 4.325 0.854
[48] 0.920 0.550 4.400 0.645
[49] 0.422 0.048 0.620 0.603
[50] 1.230 0.258 2.664 0.820
[51] 0.686 0.095 2.606 0.864
[52] 0.518 0.097 1.887 0.778
[53] 0.975 0.162 3.798 1.095
[54] 1.075 0.101 3.868 1.209
[55] 1.619 0.446 9.206 1.962
[56] 1.545 0.123 4.497 1.859
[57] 0.280 0.045 0.816 0.270
[58] 0.969 0.338 3.309 0.539
[59] 0.873 0.305 3.207 0.510
[60] 0.491 0.148 1.900 0.396
[61] 0.381 0.212 2.214 1.087
[62] 0.610 0.251 2.762 1.253
[63] 0.998 0.885 4.900 1.295
[64] 0.695 0.413 3.759 1.383
[65] 1.060 0.085 2.400 1.070
[66] 1.467 0.679 5.610 1.788
[67] 1.436 0.255 3.142 1.414
[68] 1.680 0.214 2.483 1.398
[69] 1.072 0.261 4.521 2.175
[70] 1.419 0.750 5.011 2.109
[71] 1.505 1.091 7.932 1.764
[72] 1.529 1.175 7.252 1.485
|
19.6.
X
|
80
|
80
|
80
|
80
|
80
|
100
|
100
|
Y
|
55
|
60
|
65
|
70
|
75
|
65
|
70
|
X
|
140
|
140
|
140
|
140
|
160
|
160
|
160
|
Y
|
103
|
108
|
113
|
115
|
102
|
107
|
110
|
X
|
200
|
220
|
220
|
220
|
220
|
220
|
220
|
Y
|
145
|
135
|
137
|
140
|
152
|
157
|
160
|
X
|
100
|
100
|
100
|
100
|
120
|
120
|
120
|
Y
|
74
|
80
|
85
|
88
|
79
|
84
|
90
|
X
|
160
|
160
|
160
|
180
|
180
|
180
|
180
|
Y
|
116
|
118
|
125
|
110
|
115
|
120
|
130
|
X
|
220
|
240
|
240
|
240
|
240
|
240
|
240
|
Y
|
162
|
137
|
145
|
155
|
165
|
175
|
189
|
X
|
120
|
120
|
140
|
140
|
140
|
140
|
|
Y
|
94
|
98
|
80
|
93
|
95
|
103
|
|
X
|
180
|
180
|
200
|
200
|
200
|
200
|
|
Y
|
135
|
140
|
120
|
136
|
140
|
144
|
|
X
|
260
|
260
|
260
|
260
|
260
|
260
|
260
|
Y
|
150
|
152
|
175
|
178
|
180
|
185
|
191
|
19.7.
x
|
2.5 0.5 2 3.5 1 0.5 2.5 2.6 3 2 0.5 0.4 0.6 4 0.5 3.5 3.9 4.7 1.9 0.9 5 1.5 0.8 1.5 2.7 1.7 1.7 0.7 4 5 1.2 1.9 2.6 3.6 0.5 3.6 4.4 4.8 0.8 5.2
|
y
|
2, 3, 2, 1, 2, 3, 2, 2, 1, 2, 3, 3, 3, 1, 3, 1, 1, 1, 2, 2, 1, 2, 3, 2, 2, 2, 2, 3, 1, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 1
|
19.8.
i
|
13.64
|
-19.74
|
-19.11
|
-21.98
|
-19.4
|
-6.33
|
-35.08
|
-30.84
|
SP500
|
909.73
|
843.74
|
827.5
|
845.14
|
845.85
|
835.19
|
778.94
|
752.83
|
i
|
20
|
9.65
|
5.37
|
0.63
|
-5.13
|
-13.85
|
-1.67
|
5.26
|
SP500
|
1150.24
|
1122.97
|
1102.94
|
1106.75
|
1078.47
|
1063.11
|
1084.53
|
1116.48
|
i
|
15
|
26.23
|
0
|
13.69
|
7.31
|
7.92
|
0
|
10.91
|
SP500
|
1141.69
|
1115.1
|
1126.48
|
1096.08
|
1102.35
|
1099.92
|
1094.9
|
1094.9
|
i
|
-33.34
|
4.77
|
13.52
|
-6.14
|
8.07
|
-5.46
|
2.14
|
-6.67
|
SP500
|
1066.63
|
1092.91
|
1096.56
|
1065.48
|
1029.85
|
1050.78
|
1065.49
|
1044.14
|
i
|
-8.25
|
-26.74
|
-30.67
|
5.49
|
20.52
|
0
|
-13.1
|
|
SP500
|
906.83
|
882.68
|
931.8
|
1165.83
|
1148.46
|
1087.24
|
918.37
|
|
20. Комплексни задачи по статистика
20.1.
Използвайте следното име за променливата: Kidney_Pb и данните:
11.9250 20.9268 7.9227 2.5272 13.5000 22.5000 8.2170 3.0807 14.4171 9.0189 5.9733 5.1804 6.0417 12.9393 6.4377 5.5404 14.1426 28.8198 13.9995 4.6215 14.7537 30.9618 15.3000 5.4099 2.9286 4.4073 2.9889 3.1104 3.4200 5.8950 3.8250 2.8458 3.0375 3.8574 2.6370 2.3040 3.3606 6.1479 2.3445 1.9710 6.3018 14.3730 4.0995 3.3183 32.6970 33.750 7.5357 7.2018 1.2438 4.4622 3.7179 3.1635 4.3659 4.4622 6.9480 6.5115 0.9900 3.9600 2.0862 2.0790 1.6065 1.7100 3.7098 3.6360 5.4000 8.3808 7.4250 6.8175 7.7274 8.091 19.9431 16.4997
20.2.
Използвайте следното име за променливата: Liver_Pb и данните:
6.7401 9.4023 4.6224 3.1851 9.4734 13.3641 7.6509 3.3822 3.1113 5.1516 1.9287 2.8053 3.7998 7.5330 2.9997 3.0357 3.6693 12.6099 9.7992 5.9571 4.4937 14.7996 10.1997 4.8879 1.7892 2.2455 1.8927 1.8891 1.7397 2.9700 1.2789 1.1340 1.8945 2.4435 2.2302 2.1915 2.9817 4.6557 1.7487 1.3365 5.2713 10.1250 3.9825 2.9475 7.1145 15.3927 3.9825 4.0500 0.6480 2.4876 2.4354 1.7883 3.5082 3.5712 8.3754 4.1373 0.8244 3.0681 2.9763 1.8000 2.0826 2.5758 4.5000 3.4731 2.2500 5.1390 2.9178 2.3247 4.1589 4.5999 7.2288 6.6168
20.3.
Използвайте следното име за променливата: Gills_Pb и данните:
1.7001 1.8810 1.3104 0.9558 1.7928 2.4822 1.2951 1.0719 1.2222 2.2248 1.5363 0.9702 1.4103 2.3157 1.7001 1.2879 1.6551 1.7136 1.2069 1.0593 2.8143 4.8384 1.9251 2.6127 0.1548 0.1926 0.1458 0.1881 0.5139 0.9936 0.3807 0.1521 0.1899 0.4950 0.2142 0.1881 0.3528 0.3591 0.2214 0.1800 0.9189 1.2825 1.0710 0.8316 1.3257 1.5147 1.0224 0.6570 0.1512 0.2475 0.3051 0.3528 0.9342 1.6425 1.7514 0.2889 0.1782 0.2853 0.2358 0.2187 1.0917 1.0971 1.7136 1.2312 1.1898 1.9314 1.8900 1.8000 2.3157 2.4300 2.6127 2.4084
20.4.
Използвайте следното име за променливата: Skin_Pb и данните:
1.5849 1.8000 1.2312 0.9684 1.3725 2.1537 1.3941 1.1331 1.4697 1.7253 1.4967 0.9684 1.8999 2.6604 1.7928 1.5381 1.1925 1.5777 1.1547 1.0656 1.9251 2.4084 1.5300 0.9837 0.7272 1.1070 0.7479 0.8316 0.9252 1.0278 0.9234 0.9081 0.5184 0.5364 0.4941 0.3375 0.4050 0.4527 0.2655 0.1908 0.7479 0.6651 0.6390 0.7263 0.9198 0.9648 0.7956 0.6075 0.5697 0.7650 0.8046 0.7272 1.0125 1.1151 1.7928 1.7001 0.2700 0.5121 0.4860 0.3834 1.0053 1.1547 1.1925 1.2717 0.9900 1.6362 1.2996 1.2852 1.9845 1.9251 1.6146 1.3635
20.5.
Използвайте следното име за променливата: Bones_Pb и данните:
1.5975 1.7154 1.6200 0.7290 1.1682 1.5363 1.7334 0.8055 1.3383 1.6164 1.0971 0.9684 1.7019 1.6344 1.0908 1.2591 1.6884 1.9881 0.7911 0.9531 1.5849 2.6073 1.8396 0.8586 0.3024 0.9630 1.0800 0.4050 0.4725 0.8208 0.4500 0.3303 0.2142 0.3231 0.2610 0.2151 0.5454 0.7470 0.3375 0.2655 0.9459 1.2348 0.6147 0.3294 1.2789 1.6182 0.8379 0.8460 0.3978 1.1250 0.6354 0.4842 0.8955 0.9855 1.4751 1.4085 0.2700 0.8901 0.8037 0.4599 0.3609 0.5670 0.9162 0.6435 0.9720 1.3383 1.3104 1.5300 0.9828 1.2951 1.3725 1.3941
20.6.
Използвайте следното име за променливата: Muscle_Pb и данните:
1.4823 1.5309 1.4472 0.6183 1.4931 2.0349 0.9810 0.8415 1.0188 1.0035 0.8397 0.7110 1.1007 1.1178 0.5130 0.8820 1.2312 1.6884 1.2087 0.6480 1.4157 1.5723 1.4535 0.7263 0.1953 0.9468 0.5562 0.1314 0.1908 0.4959 0.1278 0.1134 0.1629 0.1242 0.1413 0.0720 0.3375 0.3429 0.2754 0.1953 0.2340 0.9126 0.8334 0.8487 0.6570 1.1250 0.6570 0.5220 0.0702 0.2592 0.1125 0.1143 0.1728 0.1179 0.4284 0.1377 0.0675 0.3312 0.3015 0.1602 0.2178 0.2529 0.8235 0.3987 0.1035 0.6381 0.2565 0.2196 0.2619 0.7020 1.0089 1.0845
20.7.
Използвайте следното име за променливата: Kidney_Cd и данните:
8.3205 9.1809 4.6926 2.9250 17.5689 15.6609 13.5225 11.6865 2.9259 7.3116 4.7169 3.5901 20.9259 16.7616 15.5169 15.0201 11.9619 17.0316 15.5169 15.2811 20.8719 26.0586 25.1055 24.2811 6.4575 8.3709 3.2868 2.0610 16.8750 18.0108 17.3709 15.7500 2.0250 7.0254 3.7260 2.8422 5.4918 11.2806 9.0909 3.6153 11.2500 14.2200 13.5099 13.7790 14.6250 28.1250 25.1109 15.3261 0.6750 0.8442 0.7290 0.5454 1.1025 2.0673 2.6910 1.5750 0.1143 0.4887 0.3015 0.2970 1.0647 1.6155 1.5192 1.3896 2.2500 3.3300 3.1950 1.3500 2.4750 3.9078 3.5100 2.0124
20.8.
Използвайте следното име за променливата: Liver_Cd и данните:
1.8945 2.2869 1.8135 1.8090 3.7422 6.8922 5.4045 5.1102 1.3212 2.0826 1.0359 2.4759 9.4212 14.5926 12.1959 11.4813 4.8852 9.1926 6.4719 5.1399 14.0652 15.3216 17.2719 15.0399 0.9360 1.4139 1.0035 0.6750 2.8422 9.6390 3.9060 2.0799 0.8478 1.0242 1.0044 1.5750 2.1519 3.1221 1.4850 1.3941 4.0410 8.5725 5.2182 1.1565 7.0875 18.0108 14.7600 5.6520 0.2295 0.2250 0.1233 0.1620 0.1665 0.2790 0.7875 0.1611 0.0909 0.1980 0.2700 0.2889 0.5877 0.9603 0.9027 0.4491 0.2925 0.7560 0.5454 0.5049 1.2861 3.5064 3.4767 1.5750
20.9.
Използвайте следното име за променливата: Gills_Cd и данните:
1.1718 1.2312 1.1034 1.0584 1.1781 1.1412 1.0044 0.9981 1.1889 1.0782 0.9801 0.9990 1.3869 1.1916 1.0161 1.0080 1.2204 1.0575 1.0899 1.0089 1.7883 1.7775 1.7199 1.6389 0.2718 0.3312 0.2034 0.1584 0.2781 2.0700 0.3456 0.3321 0.1188 0.2520 0.1656 0.0990 0.3879 0.4104 0.3825 0.2115 0.3015 0.6426 0.5418 0.3015 0.8748 1.1916 0.5508 0.5418 0.0810 0.0747 0.0630 0.0378 0.0828 0.0954 0.1017 0.0693 0.0180 0.0810 0.0477 0.0441 0.0603 0.0594 0.0576 0.0450 0.1719 0.2250 0.1728 0.1611 0.3150 0.5247 0.3510 0.1800
20.10.
Използвайте следното име за променливата: Skin_Cd и данните:
1.0836 1.1691 1.2978 0.9918 1.1826 1.1943 1.3491 1.4418 1.0890 1.1889 1.4049 0.9189 1.3590 1.3239 1.4022 1.2789 1.0890 1.2789 1.4301 0.9504 1.4490 1.7289 1.7901 1.3104 0.1836 0.2691 0.2196 0.1899 0.3816 0.9450 0.4770 0.3879 0.3348 0.3771 0.2511 0.2691 0.3843 0.5256 0.5238 0.2781 0.1548 0.4752 0.3825 0.1008 0.3411 0.8550 0.5202 0.3501 0.0747 0.0927 0.0711 0.0441 0.0927 0.0945 0.0954 0.0522 0.0351 0.0639 0.0459 0.0342 0.0486 0.1035 0.0243 0.0252 0.1638 0.1062 0.1629 0.0909 0.2700 0.2997 0.1845 0.1440
20.11.
Използвайте следното име за променливата: Bones_Cd и данните:
0.2169 0.5211 0.8865 0.5589 0.6399 0.8100 0.7965 0.6489 0.8865 0.7866 0.5886 0.3582 0.7785 0.8766 0.6786 0.8082 0.7965 0.8766 0.6786 0.3222 0.7974 0.8073 0.5886 0.4122 0.0621 0.3771 0.1026 0.1143 0.3879 0.6129 0.2700 0.2484 0.2583 0.2232 0.2061 0.1899 0.3708 0.8028 0.6552 0.5697 0.1953 0.4221 0.2583 0.2034 0.2988 0.6201 0.4977 0.2718 0.1710 0.1728 0.3897 0.0900 0.1431 0.1710 0.1080 0.1251 0.0540 0.0441 0.0441 0.0459 0.1629 0.2790 0.2610 0.2124 0.1233 0.2367 0.1431 0.0900 0.2475 0.2691 0.2700 0.0990
20.12.
Използвайте следното име за променливата: Muscle_Cd и данните:
0.2682 0.6462 0.5985 0.1926 0.3555 0.7308 0.6786 0.3159 0.1089 0.2889 0.0999 0.0486 0.1908 0.3429 0.1899 0.1836 0.1089 0.3168 0.1422 0.0882 0.4689 0.5868 0.8622 0.1782 0.0198 0.0675 0.0594 0.0180 0.1143 0.1719 0.1620 0.1017 0.0747 0.0792 0.0459 0.0198 0.2331 0.2790 0.1557 0.1305 0.1134 0.1188 0.1008 0.0990 0.2097 0.2862 0.2520 0.2502 0.0504 0.0783 0.0396 0.0207 0.0747 0.0891 0.0522 0.0459 0.0099 0.0576 0.0126 0.0180 0.0108 0.0153 0.0144 0.0162 0.0252 0.0693 0.0405 0.0189 0.0963 0.1413 0.1179 0.1188
20.13.
Използвайте следното име за променливата: Kidney_Zn и данните:
115.5681 614.3274 220.6143 95.8257 148.7511 123.1101 642.2976 224.3709 103.9734 186.8625 150.9390 102.2976 151.1118 399.9996 605.0871 370.0089 360.5769 626.6799 543.2832 103.7556 126.8838 153.7749 620.3799 182.0295 59.4450 65.9970 168.7500 59.0400 196.8750 1125.0000 270.0000 214.4070 97.1820 455.6250 179.2890 133.7400 298.4670 607.7970 316.9710 148.6890 416.9250 1008.9000 2390.400 476.3790 1094.5800 1350.2970 937.4400 874.8000 97.6950 141.3000 89.6850 93.6000 133.6500 208.7100 205.4880 81.5850 113.1840 121.7160 89.5230 108.432 73.9350 79.3170 78.5880 74.6280 134.5680 160.2270 114.5250 138.150 292.5000 450.0000 375.7500 253.9260
20.14.
Използвайте следното име за променливата: Liver_Zn и данните:
74.7630 502.6959 153.8073 84.5307 136.8486 130.6476 486.2295 179.9073 105.3180 129.9627 126.2295 62.7282 111.6288 142.8867 181.0899 125.2143 123.3099 318.5865 152.1522 99.9189 127.4220 152.1342 635.2776 138.6747 63.8550 41.2290 132.3450 67.9590 117.3600 964.2780 177.6240 137.4300 68.2470 85.1670 115.1910 76.0500 135.2880 412.8300 149.3010 136.6290 189.1080 258.6150 302.7960 148.7700 175.5000 537.3720 414.2070 153.1710 80.4510 92.1060 80.4240 74.6010 113.5620 88.7130 87.4980 81.2250 89.2350 108.4140 86.0220 100.8720 76.5540 80.4780 72.3960 70.5870 97.7670 150.3540 81.7470 96.8490 227.2050 253.1250 230.9940 210.2760
20.15.
Използвайте следното име за променливата: Gills_Zn и данните:
51.7140 59.5080 51.7950 33.0750 60.8940 65.3310 65.7000 53.9910 73.9422 76.5099 74.7000 66.7872 74.7009 79.3917 107.5419 100.8999 134.1000 140.3289 134.2089 133.8426 106.5789 146.0889 149.2326 144.0189 40.8510 43.5780 42.6150 29.6550 47.2500 70.3620 50.4630 43.2000 45.5400 48.4380 50.0580 47.4480 63.1530 69.5970 64.4310 53.5500 37.2240 44.1450 57.8520 43.7940 82.3140 120.3030 91.7910 72.8280 60.3540 60.4170 51.0210 56.5830 62.6760 62.9010 56.8080 59.3370 50.6250 53.1810 46.9170 47.7900 63.0000 61.3080 57.2130 53.9100 69.7500 73.6560 64.7820 65.9700 85.6080 81.1170 70.9650 69.1290
20.16.
Използвайте следното име за променливата: Skin_Zn и данните:
38.3040 41.4180 39.3975 42.8445 54.1710 63.1080 64.8189 62.4177 62.7444 66.2400 63.0198 63.0999 64.8999 71.2611 73.9179 67.6872 63.5445 74.7738 65.7288 67.8069 63.9468 76.5954 81.1368 70.3719 30.4020 33.2100 32.5890 21.7530 38.3760 41.5350 40.6260 31.5000 37.8090 40.6350 41.5440 29.9070 36.5400 61.4880 53.0640 45.8100 36.0900 43.8750 53.5140 40.2570 77.1750 88.1550 80.6580 70.3890 43.2000 45.1890 40.6530 45.0000 55.1070 56.8260 54.8910 54.0000 42.2370 44.9910 33.7500 39.5910 45.0900 46.1970 43.8390 42.2910 54.9990 62.9280 43.8390 54.0000 78.6870 80.1900 69.9120 65.9700
20.17.
Използвайте следното име за променливата: Bones_Zn и данните:
49.2381 71.5230 35.5104 23.5377 24.5835 79.4673 72.5409 58.6557 24.1065 72.5409 27.2061 14.2083 16.0389 25.1847 77.0004 49.6305 31.0581 45.1323 40.3695 36.1089 42.3729 46.8279 56.4174 40.9608 21.3120 21.7530 24.2550 21.1140 27.2250 40.8060 30.2220 26.6310 17.3430 22.0950 23.8500 17.2800 27.0000 41.5170 34.8300 28.0170 20.7720 21.4740 28.3320 40.1760 45.2070 52.1460 46.0080 43.4700 20.5470 20.4480 18.4590 20.2860 23.2830 23.9490 21.5460 26.4510 17.1540 16.3620 12.7080 12.8880 12.7080 19.9260 11.9160 11.4750 16.7220 19.2780 17.7570 16.0650 27.4320 28.7190 22.5000 22.6710
20.18.
Използвайте следното име за променливата: Muscle_Zn и данните:
7.1073 20.9097 17.4249 13.3722 16.9029 18.0990 24.6573 13.8798 13.8798 15.3108 11.1969 10.4607 12.7368 16.4349 25.6356 11.3607 9.9342 5.9057 10.6848 10.5669 10.2429 10.8774 19.1529 11.7000 13.1850 16.3530 5.1650 9.1710 17.7480 24.7050 11.2500 12.5010 11.4570 10.3860 9.9540 9.0360 12.6360 26.0730 19.8000 10.8000 16.2720 17.1540 16.3800 15.9030 6.8750 37.0530 18.1800 14.8320 7.2270 9.6390 7.0290 8.2890 13.500 13.779 13.212 13.023 5.2560 8.2080 7.29 5.2110 13.5 14.1930 6.66 7.335 11.538
ПРИЛОЖЕНИЕ 1
Стандартно нормално разпределение N (0, 1)
z
|
0.00
|
0.01
|
0.02
|
0.03
|
0.04
|
0.0
|
0.5
|
0.503989379
|
0.507978354
|
0.511966527
|
0.515953499
|
0.1
|
0.539827896
|
0.543795364
|
0.547758470
|
0.551716823
|
0.555670033
|
0.2
|
0.579259687
|
0.583166134
|
0.587064387
|
0.590954073
|
0.594834824
|
0.3
|
0.617911357
|
0.621719457
|
0.625515770
|
0.629299955
|
0.633071673
|
0.4
|
0.655421697
|
0.659096986
|
0.662757237
|
0.666402148
|
0.67003 J420
|
0.5
|
0.691462467
|
0.694974281
|
0.698468229
|
0.701944056
|
0.705401511
|
0.6
|
0.725746935
|
0.729069152
|
0.73237J166
|
0.735652770
|
0.738913765
|
0.7
|
0.758036422
|
0.761148006
|
0.764237576
|
0.767304982
|
0.770350076
|
0.8
|
0.788144666
|
0.791029974
|
0.793892006
|
0.796730665
|
0.799545861
|
0.9
|
0.815939908
|
0.818588775
|
0.821213646
|
0.823814480
|
0.826391238
|
1.0
|
0.841344740
|
0.843752345
|
0.846135756
|
0.848494980
|
0.850830029
|
1.1
|
0.864333898
|
0.866500443
|
0.868643073
|
0.870761839
|
0.872856799
|
1.2
|
0.884930268
|
0,886860491
|
0.888767499
|
0.890651383
|
0.892512238
|
1.3
|
0.903199451
|
0.904902018
|
0.906582427
|
0.908240802
|
0.909877266
|
1.4
|
0.919243289
|
0.920730109
|
0.922196112
|
0.923641445
|
0.925066257
|
1.5
|
0.933192771
|
0.934478263
|
0.935744490
|
0.936991617
|
0.938219807
|
16
|
0.945200711
|
0.946301077
|
0.947383870
|
0.948449263
|
0.949497431
|
1.7
|
0.955434568
|
0.956367097
|
0.957283815
|
0.958184901
|
0.959070532
|
1.8
|
0.964069734
|
0.964852162
|
0.965620555
|
0.966375089
|
0.967115942
|
1.9
|
0.971283507
|
0.971933461
|
0.972571119
|
0.973196650
|
0.973810224
|
2.0
|
0.977249938
|
0.977784475
|
0.978308376
|
0.978821799
|
0.979324905
|
2.1
|
0.982135643
|
0.982570884
|
0.982997038
|
0.983414253
|
0.983822675
|
2.2
|
0.986096601
|
0.986447466
|
0.986790661
|
0.987126322
|
0.987454580
|
2.3
|
0.989275919
|
0.989555950
|
0.989829586
|
0.990096947
|
0.990358150
|
2.4
|
0.991802471
|
0.992023745
|
0.992239749
|
0.992450589
|
0.992656367
|
2.5
|
0.993790320
|
0.993963425
|
0.994132240
|
0.994296853
|
0.994457354
|
2.6
|
0.995338778
|
0.995472853
|
0.995603474
|
0.995730718
|
0.995854658
|
2.7
|
0.996532977
|
0.996635789
|
0.996735852
|
0.996833231
|
0.996927987
|
2.8
|
0.997444809
|
0.997522864
|
0.997598756
|
0.997672537
|
0.997744260
|
2.9
|
0.998134120
|
0.998192789
|
0.998249775
|
0.998305122
|
0.998358871
|
3.0
|
0.998650033
|
0.998693692
|
0.998736057
|
0.998777162
|
0.998817040
|
3 1
|
0.999032329
|
0.999064496
|
0.999095677
|
0.999125901
|
0.999155194
|
3.2
|
0.999312798
|
0.999336262
|
0.999358984
|
0.999380986
|
0.999402289
|
3.3
|
0.999516517
|
0.999533462
|
0.999549856
|
0.999565714
|
0.999581052
|
3.4
|
0999663019
|
0.999675135
|
0.999686844
|
0.999698160
|
0.999709094
|
3.5
|
0.999767327
|
0.999775903
|
0.999784184
|
0.999792178
|
0.999799895
|
3.6
|
0.999840854
|
0.999846865
|
0.999852663
|
0.999858254
|
0.999863647
|
3.7
|
0.999892170
|
0.999896341
|
0.999900359
|
0.999904232
|
0.999907962
|
3.8
|
0.999927628
|
0.999930493
|
0.999933251
|
0.999935906
|
0.999938461
|
3.9
|
0.999951884
|
0.999953833
|
0.999955707
|
0.999957509
|
0.999959242
|
Стандартно нормално разпределение N(0,1)
z
|
0.05
|
0.06
|
0.07
|
0.08
|
0.09
|
0.0
|
0.519938873
|
0.523922253
|
0.527903240
|
0.531881440
|
0.535856456
|
0.1
|
0.559617712
|
0.563559473
|
0.567494933
|
0.571423709
|
0.575345420
|
0.2
|
0.598706274
|
0.602568057
|
0.606419814
|
0.610261186
|
0.614091818
|
0.3
|
0.636830590
|
0.640576374
|
0.644308699
|
0.648027240
|
0.651731677
|
0.4
|
0.673644759
|
0.677241874
|
0.680822481
|
0.684386299
|
0.687933051
|
0.5
|
0.708840345
|
0.712260318
|
0.715661192
|
0.719042736
|
0.722404724
|
0.6
|
0.742153956
|
0.745373154
|
0.748571176
|
0.751747842
|
0.754902979
|
0.7
|
0.773372720
|
0.776372779
|
0.779350124
|
0.782304631
|
0.785236183
|
0.8
|
0.802337508
|
0.805105527
|
0.807849842
|
0.810570386
|
0.813267094
|
0.9
|
0.828943888
|
0.831472403
|
0.833976760
|
0.836456943
|
0.838912939
|
1.0
|
0.853140919
|
0.855427672
|
0.857690314
|
0.859928875
|
0.862143390
|
1.1
|
0.874928011
|
0.876975542
|
0.878999459
|
0.880999834
|
0.882976744
|
1.2
|
0.894350161
|
0.896165253
|
0.897957619
|
0.899727366
|
0.901474606
|
1.3
|
0.911491948
|
0.913084979
|
0.914656492
|
0.916206622
|
0.917735507
|
1.4
|
0.926470700
|
0.927854925
|
0 929219087
|
0.930563344
|
0.931887852
|
1.5
|
0.939429229
|
0.940620050
|
0.941792438
|
0.942946563
|
0.944082597
|
1.6
|
0.950528549
|
0.951542794
|
0.952540341
|
0.953521368
|
0.954486051
|
1.7
|
0.959940886
|
0.960796142
|
0.961636477
|
0.962462069
|
0.963273096
|
1.8
|
0.967843287
|
0.968557300
|
0.969258155
|
0.969946026
|
0.970621086
|
1.9
|
0.974412010
|
0.975002175
|
0.975580885
|
0.976148306
|
0.976704602
|
2.0
|
0.979817852
|
0.980300797
|
0.980773894
|
0.981237299
|
0.981691164
|
2.1
|
0.984222449
|
0.984613720
|
0.984996631
|
0.985371321
|
0.985737932
|
2.2
|
0.987775567
|
0.988089412
|
0.988396244
|
0.988696189
|
0.988989373
|
2.3
|
0.990613313
|
0.990862548
|
0.991105971
|
0.991343692
|
0.991575823
|
2.4
|
0.992857185
|
0.993053143
|
0.993244339
|
0.993430871
|
0.993612833
|
2.5
|
0.994613830
|
0.994766365
|
0.994915046
|
0.995059954
|
0.995201171
|
2.6
|
0.995975369
|
0.996092924
|
0.996207393
|
0.996318845
|
0.996427351
|
2.7
|
0.997020181
|
0.997109875
|
0.997197128
|
0997281997
|
0.997364539
|
2.8
|
0.997813974
|
0.997881730
|
0.997947576
|
0.998011558
|
0.998073724
|
2.9
|
0.998411062
|
0.998461736
|
0.998510932
|
0.998558689
|
0.998605044
|
3.0
|
0.998855724
|
0.998893246
|
0.998929637
|
0.998964929
|
0.998999149
|
3.1
|
0.999183581
|
0.999211088
|
0.999237740
|
0.999263560
|
0.999288571
|
3.2
|
0.999422914
|
0.999442878
|
0.999462202
|
0.999480905
|
0.999499004
|
3.3
|
0.999595887
|
0.999610233
|
0.999624105
|
0.999637518
|
0.999650485
|
3.4
|
0.999719659
|
0.999729865
|
0.999739724
|
0.999749247
|
0.999758445
|
3.5
|
0.999807344
|
0.999814533
|
0.999821470
|
0.999828164
|
0.999834623
|
3.6
|
0:999868846
|
0.999873859
|
0.999878692
|
0.999883351
|
0.999887842
|
3.7
|
0.999911555
|
0.999915017
|
0 999918350
|
0.999921560
|
0.999924651
|
3.8
|
0.999940919
|
0.999943285
|
0.999945562
|
0.999947752
|
0.999949858
|
3.9
|
0.999960908
|
0.999962509
|
0.999964048
|
0.999965527
|
0.999966948
|
ПРИЛОЖЕНИЕ 2
Квантили tq(k)на симетричното t - разпределение на Стюдънт
k\q
|
0.60
|
0.75
|
0.90
|
0.95
|
0.975
|
I
|
0.324919256
|
1.000000793
|
3.077684596
|
6.313748599
|
12.706150301
|
2
|
0.288674755
|
0.816496595
|
1.885618985
|
2.919987310
|
4.302655725
|
3
|
0.276670562
|
0.764891865
|
1.637745299
|
2.353363016
|
3.182449291
|
4
|
0.270722467
|
0.740697033
|
1.533205705
|
2.131846486
|
2.776450856
|
5
|
0.267181122
|
0.726686835
|
1.475884801
|
2.015049176
|
2.570577635
|
6
|
0.264834625
|
0.717558351
|
1.439755124
|
1.943180905
|
2.446913641
|
7
|
0.263166839
|
0.711141865
|
1.414923645
|
1.894577508
|
2.364622560
|
8
|
0.261920832
|
0.706386345
|
1.396815605
|
1.859548320
|
2.306005626
|
9
|
0.260955630
|
0.702722218
|
1.383028803
|
1.833113856
|
2.262158887
|
10
|
0.260184834
|
0.699811835
|
1.372184215
|
1.812461505
|
2.228139238
|
11
|
0.259556145
|
0.697444875
|
1.363430329
|
1.795883691
|
2.200986273
|
12
|
0.259032618
|
0.695482640
|
1.356218036
|
1.782286745
|
2.178812792
|
13
|
0.258590944
|
0.693829634
|
1.350172170
|
1.770931704
|
2.160368240
|
14
|
0.258212367
|
0.692417075
|
1.345031251
|
1.761309250
|
2.144788596
|
15
|
0.257884949
|
0.691196647
|
1.340605422
|
1.753051038
|
2.131450856
|
16
|
0.257599027
|
0.690132538
|
1.336757123
|
1.745884219
|
2.119904821
|
17
|
0.257347210
|
0.689194621
|
1.333379487
|
1.739606432
|
2.109818524
|
18
|
0.257123247
|
0.688363571
|
1.330390660
|
1.734063062
|
2.100923666
|
19
|
0.256923158
|
0.687621196
|
1.327728114
|
1.729131327
|
2.093024705
|
20
|
0.256742396
|
0.686954422
|
1.325340691
|
1.724718004
|
2.085962478
|
21
|
0.256579824
|
0.686352450
|
1.323187462
|
1.720743512
|
2.079614205
|
22
|
0.256432031
|
0.685805048
|
1.321236596
|
1.717144187
|
2.073875294
|
23
|
0.256296744
|
0.685306532
|
1.319460807
|
1.713870006
|
2.068654794
|
24
|
0.256173394
|
0.684849510
|
1.317835086
|
1.710882316
|
2.063898137
|
25
|
0.256059707
|
0.684430006
|
1.316345788
|
1.708140189
|
2.059537110
|
26
|
0.255954546
|
0.684042902
|
1.314972451
|
1.705616341
|
2.055530786
|
27
|
0.255857913
|
0.683685357
|
1.313703706
|
1.703288035
|
2.051829142
|
28
|
0.255767532
|
0.683352823
|
1.312525910
|
1.701130259
|
2.048409442
|
29
|
0.255683972
|
0.683044163
|
1.311434517
|
1.699127097
|
2.045230758
|
30
|
0.255605528
|
0.682755399
|
1.310415882
|
1.697260359
|
2.042270353
|
31
|
0.255532200
|
0.682485961
|
1.309463187
|
1.695518677
|
2.039514584
|
32
|
0.255463419
|
0.682233576
|
1.308573019
|
1.693888407
|
2.036931619
|
33
|
0.255399186
|
0.681997108
|
1.307737421
|
1.692360456
|
2.034516910
|
34
|
0.255338364
|
0.681774281
|
1.306950708
|
1.690923455
|
2.032243174
|
35
|
0.255281520
|
0.681563961
|
1.306211743
|
1.689572855
|
2.030110409
|
40
|
0.255038799
|
0.680672656
|
1.303076260
|
1.683852133
|
2.021074579
|
45
|
0.254850079
|
0.679980872
|
1.300650183
|
1.679427442
|
2.014103302
|
50
|
0.254699444
|
0.679427785
|
1.298712959
|
1.675905423
|
2.008559932
|
55
|
0.254576094
|
0.678976448
|
1.297134986
|
1.673033694
|
2.004044291
|
60
|
0.254473207
|
0.678600713
|
1.295820766
|
1.670648544
|
2.000297172
|
120
|
0.253909320
|
0.676540139
|
1.288645990
|
1.657649591
|
1.979929038
|
∞
|
0.253346570
|
0.674490366
|
1.281550794
|
1.644853000
|
1.959961082
|
Квантили tq(k)на симетричното t- разпределение на Стюдънт
k\q
|
0.99
|
0.995
|
0.9975
|
0.999
|
0.9995
|
1
|
31.820964068
|
63.655897975
|
127.321109176
|
318.288803101
|
636.577606201
|
2
|
6.964546628
|
9.924988262
|
14.089164324
|
22.328458726
|
31.599774957
|
3
|
4.540706868
|
5.840847734
|
7.453199942
|
10.214280337
|
12.924429029
|
4
|
3.746936272
|
4.604080459
|
5.597539712
|
7.172930054
|
8.610077202
|
5
|
3.364930308
|
4.032117431
|
4.773319233
|
5.893525667
|
6.868503988
|
6
|
3.142667993
|
3.707427823
|
4.316825652
|
5.207548384
|
5.958718248
|
7
|
2.997949196
|
3.499480954
|
4.029352567
|
4.785251804
|
5.408073775
|
8
|
2.896467777
|
3.355380613
|
3.832537914
|
4.500761861
|
5.041365512
|
9
|
2.821434464
|
3.249842848
|
3.689638106
|
4.296889529
|
4.780886229
|
10
|
2.763772500
|
3.169261618
|
3.581371857
|
4.143657861
|
4.586763680
|
11
|
2.718079486
|
3.105815267
|
3.496606951
|
4.024768714
|
4.436878953
|
12
|
2.680990292
|
3.054537956
|
3.428431228
|
3.929599188
|
4.317844287
|
13
|
2.650303941
|
3.012282832
|
3.372479114
|
3.852037480
|
4.220928531
|
14
|
2.624492481
|
2.976848918
|
3.325694706
|
3.787426976
|
4.140310921
|
15
|
2.602482709
|
2.946726454
|
3.286040737
|
3.732857294
|
4.072790034
|
16
|
2.583492460
|
2.920787665
|
3.251989256
|
3.686145646
|
4.014873412
|
17
|
2.566939656
|
2.898232196
|
3 222448868
|
3.645764082
|
3.965105861
|
18
|
2.552378646
|
2.878441592
|
3.196582838
|
3.610475687
|
3.921741154
|
19
|
2.539482011
|
2.860942914
|
3.173699952
|
3.579334589
|
3.883324098
|
20
|
2.527976903
|
2.845335985
|
3.153400030
|
3.551831469
|
3.849563655
|
21
|
2.517645044
|
2.831366146
|
3.135210136
|
3.527093213
|
3.81929567!
|
22
|
2.508322723
|
2.818760549
|
3 118839231
|
3.504974302
|
3 792229109
|
23
|
2.499873517
|
2.807337296
|
3.103996278
|
3.484965418
|
3.767636372
|
24
|
2.492161002
|
2.796950866
|
3.090535756
|
3.466775524
|
3.745371941
|
25
|
2.485103323
|
2.787437552
|
3.078203008
|
3.450186341
|
3.725144779
|
26
|
2.478627721
|
2.778724593
|
3.066888894
|
3.434979590
|
3.706663847
|
27
|
2.472661436
|
2.770684659
|
3.056520654
|
3.421009751
|
3.689492587
|
28
|
2.467140803
|
2.763263183
|
3.046952770
|
3.408204066
|
3.673922038
|
29
|
2.462020348
|
2.756387403
|
3.038039722
|
3.396271495
|
3.659515642
|
30
|
2.457263690
|
2.749984560
|
3.029781510
|
3.385212040
|
3.645982360
|
31
|
2.452825356
|
2.744036465
|
3.022105375
|
3.374880180
|
3.633467713
|
32
|
2.448678060
|
2.738488547
|
3.014938557
|
3.365275916
|
3 621826181
|
33
|
2.444794518
|
2.733286237
|
3.008244676
|
3.356326488
|
3.610912245
|
34
|
2.441147444
|
2.728393156
|
3.001950972
|
3.347959137
|
3.600725904
|
35
|
2.437718649
|
2.723809303
|
2.996057447
|
3.340028343
|
3.591121640
|
40
|
2.423257683
|
2.704455255
|
2.971173672
|
3.306922736
|
3.550958354
|
45
|
2.412116373
|
2.689594112
|
2.952074283
|
3.281456884
|
3.520253813
|
50
|
2.403266990
|
2.677788871
|
2936976671
|
3.261375241
|
3.495952114
|
55
|
2.396081982
|
2.668220986
|
2.924716682
|
3.245149856
|
3.476452548
|
60
|
2.390115696
|
2.660272003
|
2.914566721
|
3.231689334
|
3.460154403
|
120
|
2.357828635
|
2.617416612
|
2.859851520
|
3.15951 1834
|
3.373424988
|
∞
|
2.326341928
|
2.575834515
|
2.807064448
|
3.090244718
|
3.290479071
|
ПРИЛОЖЕНИЕ 3
Квантили χq2(k) на асиметричното χ2- разпределение на Пирсън
k\q
|
0.005
|
0.010
|
0.025
|
0.050
|
0.100
|
0.500
|
1
|
3.927Е-05
|
0.0001571
|
0.0009821
|
0.0039322
|
0.0157907
|
0.4549362
|
2
|
0.0100247
|
0.0201004
|
0.0506357
|
0.1025862
|
0.2107208
|
1.3862936
|
3
|
0.0717235
|
0.1148316
|
0.2157949
|
0.351846
|
0.5843755
|
2.3659727
|
4
|
0.2069836
|
0.2971068
|
0.484419
|
0.7107241
|
1.0636243
|
3.3566947
|
5
|
0.4117508
|
0.5542969
|
0.8312089
|
1.1454773
|
1.6103091
|
4.3514587
|
6
|
0.6757334
|
0.8720833
|
1.2373419
|
1.6353805
|
2.2041303
|
5.348119
|
7
|
0.9892509
|
1.2390317
|
1.689864
|
2.1673492
|
2.8331052
|
6.3458093
|
8
|
1.3444027
|
1.6465062
|
2.1797247
|
2.7326326
|
3.4895374
|
7.3441201
|
9
|
1.7349114
|
2.0878894
|
2.7003887
|
3.3251151
|
4.1681557
|
8.342832
|
10
|
2.1558454
|
2.5581988
|
3.2469635
|
3.9402953
|
4.8651783
|
9.3418161
|
11
|
2.6032019
|
3.0534957
|
3.8157424
|
4.574809
|
5.5777883
|
10.340996
|
12
|
3.073785
|
3.5705513
|
4.4037775
|
5.2260277
|
6.3037959
|
11.340322
|
13
|
3.565042
|
4.1068996
|
5.0087376
|
5.8918606
|
7.0414997
|
12.339753
|
14
|
4.0746588
|
4.6604155
|
5.6287238
|
6.5706316
|
7.7895377
|
13.339272
|
15
|
4.6008741
|
5.2293559
|
6.2621229
|
7.2609348
|
8.5467531
|
14.338857
|
16
|
5.1421643
|
5.8121968
|
6.9076641
|
7.9616386
|
9.3122353
|
15.338497
|
17
|
5.6972737
|
6.407742
|
7.5641786
|
8.6717536
|
10.085183
|
16.338179
|
18
|
6.2647659
|
7.0149034
|
8.2307372
|
9.3904479
|
10.864937
|
17.337902
|
19
|
6.8439233
|
7.6326976
|
8.9065144
|
10.117006
|
11.650912
|
18.33765
|
20
|
7.4338114
|
8.2603684
|
9.5907725
|
10.850799
|
12.442601
|
19.33743
|
21
|
8.0336021
|
8.8971724
|
10.282907
|
11.591316
|
13.239596
|
20.337228
|
22
|
8.6426806
|
9.5424944
|
10.98233
|
12.338009
|
14.04149
|
21.337044
|
23
|
9.2603831
|
10.195689
|
1 1.688534
|
13.090505
|
14.847954
|
22.33688
|
24
|
9.8861987
|
10.856349
|
12.401146
|
13.848422
|
15.658679
|
23.33673
|
25
|
10.519647
|
11.523951
|
13.119707
|
14.611396
|
16.473405
|
24.336584
|
26
|
11.160218
|
12.198177
|
13.843881
|
15.379163
|
17.29188
|
25.336458
|
27
|
11.807655
|
12.878468
|
14.573373
|
16.151395
|
18.113889
|
26.336341
|
28
|
12.461281
|
13.564666
|
15.307854
|
16.927876
|
18.939235
|
27.336232
|
29
|
13.121067
|
14.256406
|
16.047051
|
17.708381
|
19.76774
|
28.33613
|
30
|
13.786682
|
14.953464
|
16.790756
|
18.492667
|
20.599245
|
29.336028
|
35
|
17.191729
|
18.50887
|
20.56938
|
22.465009
|
24.796648
|
34.335635
|
40
|
20.706577
|
22.164201
|
24.433058
|
26.509296
|
29.050516
|
39.335341
|
45
|
24.310982
|
25.9012
|
28.366177
|
30.612259
|
33.350378
|
44.335118
|
50
|
27.990825
|
29.706725
|
32.357385
|
34.764236
|
37.688637
|
49.334941
|
55
|
31.734894
|
33.570516
|
36.398113
|
38.958051
|
42.05962
|
54.334787
|
60
|
35.534397
|
37.484796
|
40.481707
|
43.187966
|
46.458885
|
59.334668
|
65
|
39.383227
|
41.443554
|
44.60297
|
47.449572
|
50.882935
|
64.334557
|
70
|
43.275305
|
45.4417
|
48.757536
|
51.739263
|
55.328945
|
69.334479
|
80
|
51.171933
|
53.539983
|
57.153152
|
60.391459
|
64.277842
|
79.334325
|
90
|
59.196327
|
61.754019
|
65.646592
|
69.126018
|
73.291079
|
89.334216
|
100
|
67.327533
|
70.064995
|
74.221882
|
77.929442
|
82.358127
|
99.33413
|
Квантили χq2 на асиметричното χ2 - разпределение на Пирсън
k\q
|
0.900
|
0.950
|
0.975
|
0.990
|
0.995
|
1
|
2.7055406
|
3.8414553
|
5.0239026
|
6 6348913
|
7.8793998
|
2
|
4.6051761
|
5.9914764
|
7.3777791
|
9.210351
|
10.59653
|
3
|
6.2513945
|
7.8147247
|
9.348404
|
11.344882
|
12.838073
|
4
|
7.779434
|
9.4877285
|
11.143262
|
13.276699
|
14.860166
|
5
|
9.2363491
|
11.070483
|
12.832492
|
15.086317
|
16.749648
|
6
|
10.644637
|
12.591577
|
14.449355
|
16.811872
|
18.547513
|
7
|
12.017031
|
14.067127
|
16.012774
|
18.475324
|
20.277738
|
8
|
13.361562
|
15.507312
|
17.534545
|
20.090159
|
21.954861
|
9
|
14.683663
|
16.91896
|
19.022778
|
21.666048
|
23.589275
|
10
|
15.987175
|
18.307029
|
20.483201
|
23.209287
|
25.188055
|
11
|
17.275007
|
19.675153
|
21 920023
|
24.725022
|
26.756864
|
12
|
18.54934
|
21.026055
|
23.33666
|
26.216964
|
28.29966
|
13
|
19.811933
|
22.362027
|
24.735581
|
27.688184
|
29.819318
|
14
|
21.064141
|
23.684782
|
26.118935
|
29.141163
|
31.319425
|
15
|
22.307121
|
24.995797
|
27.488365
|
30.577951
|
32.801491
|
16
|
23.541821
|
26.296221
|
28.845325
|
31.999861
|
34.267053
|
17
|
24.769028
|
27.5871
|
30.190983
|
33.408717
|
35.718378
|
18
|
25.989418
|
28.869321
|
31.52641
|
34.805237
|
37.156386
|
19
|
27.203565
|
30.143505
|
32.852337
|
36.190775
|
38.582122
|
20
|
28.41197
|
31.41042
|
34.169581
|
37.566272
|
39.996856
|
21
|
29.615086
|
32.670558
|
35 478856
|
38.932232
|
41.400943
|
22
|
30.813285
|
33.92446
|
36.780678
|
40.289448
|
42.795664
|
23
|
32.00689
|
35.17246
|
38.075609
|
41.638334
|
44.181385
|
24
|
33.196235
|
36.415026
|
39.36406
|
42.979781
|
45.558363
|
25
|
34.381583
|
37.652489
|
40.646498
|
44.314014
|
46.927966
|
26
|
35.563164
|
38.88513
|
41.923138
|
45.641636
|
48.289777
|
27
|
36.741228
|
40.113266
|
43.194521
|
46.962837
|
49.645035
|
28
|
37.915907
|
41.337152
|
44.46079
|
48.278166
|
50.993559
|
29
|
39.087475
|
42.556948
|
45.722279
|
49.587829
|
52.335495
|
30
|
40.256017
|
43.772954
|
46.979218
|
50.892181
|
53.671868
|
35
|
46.058772
|
49.801832
|
53.203308
|
57.341988
|
60.274592
|
40
|
51.805044
|
55.758487
|
59.341679
|
63.690771
|
66.766047
|
45
|
57.505291
|
61.656219
|
65.410131
|
69.956901
|
73.166036
|
50
|
63.167113
|
67.504805
|
71.420194
|
76.153802
|
79.489839
|
55
|
68.796207
|
73.311479
|
77.380436
|
82.291977
|
85.749058
|
60
|
74.396999
|
79.081954
|
83.297706
|
88.37943
|
91.951806
|
65
|
79.97299
|
84.82064
|
89.177163
|
94.421996
|
98.104916
|
70
|
85.527036
|
90.531262
|
95.023149
|
100.42505
|
104.21477
|
80
|
96.578196
|
101.87947
|
106.62854
|
1 12.32879
|
116.32093
|
90
|
107.56501
|
113.14523
|
118.13591
|
124.1162
|
128.29868
|
100
|
118.498
|
124.3421
|
129.56125
|
135.80689
|
140.16971
|
4.3. Инсталиране на R.
Системата за статистическа обработка на данните R се инсталира от http://cran.r-project.org/. Посочете използваната от вас операционна система, за да свалите (download) подходящата версия за R. Появяват се няколко web sites. Избираме по близък до България, за да се свали R по-бързо. Прочетете инструкциите за инсталиране на програмата. Освен ядрото можете да инсталирате и необходимите ви пакети.
|