180093 (583940), страница 4
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Внутригрупповые дисперсии:
Средняя из внутригрупповых дисперсий
межгрупповая дисперсия 
[(785.31-952.07)2+(879.45-952.07)2+(954.78-952.07)2+(1038.89-952.07)2+(1126.19-952.07)2+(1191.33-952.07)2+]/19=16233.53
Исчислим общую дисперсию по формуле (5.20):
| 1 |
| 2 |
| 3 |
| |
| 1 |
|
| 900.47 | 2662.55 | 941.18 | 118.75 |
| 2 |
|
| 855.61 | 9304.31 | 970.87 | 353.44 |
| 3 | 803.91 | 21953.57 | 872.90 | 6267.72 | 952.30 | 0.05 |
| 4 | 768.20 | 33810.52 | 906.17 | 2107.00 |
|
|
| 5 | 803.86 | 21967.47 |
|
|
|
|
| 6 | 765.28 | 34890.95 | 862.07 | 8100.87 |
|
|
| 3141.25 | 112622.51 | 4397.23 | 28442.46 | 2864.35 | 472.24 |
| 4 |
| 5 |
| 6 |
| |
| 1 | 1054.55 | 10500.44 | 1102.94 | 22760.96 | 1191.33 | 57241.42 |
| 2 | 1023.16 | 5053.51 | 1127.60 | 30808.19 | ||
| 3 | 1038.96 | 7549.39 | 1148.04 | 38401.28 | ||
| 4 | ||||||
| 5 | ||||||
| 6 | ||||||
| 3116.67 | 23103.33 | 3378.57 | 91970.43 | 1191.33 | 57241.42 |
=[112622.51+28442.46+472.24+23103.33+91970.43+57241.42]/19=16518.55
285.02+16233.53=16518.55
=16518.55/16518.55 = 0,98=98%
- эмпирический коэффициент детерминации
следовательно, связь весьма тесная
Задание 6
|
| x | y | xy | x2 | y2 |
|
|
|
|
| 1 | 138 | 761 | 105049.14 | 19068.51 | 578719.56 | 871.06 | 0.15 | 12170.96 | 25078.65 |
| 2 | 146 | 761 | 110896.20 | 21232.12 | 579215.29 | 849.53 | 0.12 | 7827.02 | 24975.58 |
| 3 | 185 | 761 | 140489.34 | 34051.46 | 579630.18 | 739.93 | 0.03 | 458.26 | 24889.52 |
| 4 | 135 | 768 | 103723.86 | 18227.98 | 590226.45 | 879.75 | 0.15 | 12429.23 | 22751.69 |
| 5 | 189 | 769 | 145596.59 | 35825.24 | 591715.98 | 726.53 | 0.06 | 1823.42 | 22460.37 |
| 6 | 159 | 772 | 122730.12 | 25296.33 | 595449.19 | 811.88 | 0.05 | 1618.01 | 21740.04 |
| 7 | 145 | 773 | 111839.57 | 20952.18 | 596982.67 | 852.25 | 0.10 | 6337.29 | 21448.21 |
| 8 | 140 | 778 | 109303.51 | 19724.04 | 605720.60 | 864.41 | 0.11 | 7418.79 | 19829.72 |
| 9 | 112 | 783 | 87569.93 | 12520.47 | 612476.37 | 945.02 | 0.21 | 26376.87 | 18629.49 |
| 10 | 114 | 800 | 91563.11 | 13099.69 | 640000.00 | 937.79 | 0.17 | 18986.87 | 14184.48 |
| 11 | 121 | 816 | 98417.84 | 14542.67 | 666044.84 | 920.46 | 0.13 | 10887.46 | 10605.48 |
| 12 | 125 | 817 | 102112.68 | 15625.00 | 667327.91 | 908.02 | 0.11 | 8301.73 | 10444.27 |
| 13 | 164 | 836 | 136729.22 | 26744.96 | 699005.64 | 799.20 | 0.04 | 1359.19 | 6894.48 |
| 14 | 116 | 841 | 97585.39 | 13479.58 | 706469.23 | 933.14 | 0.11 | 8579.06 | 6175.03 |
| 15 | 109 | 856 | 93457.94 | 11930.97 | 732076.98 | 952.55 | 0.11 | 9395.57 | 4030.17 |
| 16 | 189 | 862 | 163043.48 | 35770.32 | 743162.90 | 726.94 | 0.16 | 18260.11 | 3252.38 |
| 17 | 138 | 900 | 124137.93 | 19024.97 | 810000.00 | 871.50 | 0.03 | 812.04 | 364.76 |
| 18 | 74 | 900 | 67019.40 | 5539.35 | 810853.31 | 1050.81 | 0.17 | 22601.47 | 346.88 |
| 19 | 124 | 905 | 112417.85 | 15420.30 | 819554.47 | 910.33 | 0.01 | 25.43 | 190.61 |
| 20 | 150 | 912 | 136912.75 | 22520.14 | 832370.61 | 837.24 | 0.08 | 5641.03 | 45.63 |
| 21 | 112 | 919 | 102584.34 | 12467.76 | 844060.98 | 945.68 | 0.03 | 726.64 | 0.14 |
| 22 | 71 | 941 | 66500.42 | 4992.37 | 885813.15 | 1061.46 | 0.13 | 14467.39 | 487.43 |
| 23 | 119 | 962 | 114220.45 | 14110.89 | 924556.21 | 925.55 | 0.04 | 1295.05 | 1801.14 |
| 24 | 105 | 971 | 102249.49 | 11091.66 | 942595.91 | 963.59 | 0.01 | 53.03 | 2680.67 |
| 25 | 127 | 977 | 124223.60 | 16178.36 | 953836.31 | 901.82 | 0.08 | 5598.86 | 3311.64 |
| 26 | 96 | 1004 | 96774.19 | 9282.18 | 1008948.50 | 988.93 | 0.02 | 241.41 | 7287.30 |
| 27 | 109 | 1022 | 111665.48 | 11944.22 | 1043950.85 | 952.37 | 0.07 | 4811.45 | 10535.08 |
| 28 | 110 | 1029 | 113009.20 | 12068.22 | 1058240.42 | 950.78 | 0.08 | 6073.29 | 12014.25 |
| 29 | 93 | 1038 | 97001.76 | 8737.47 | 1076895.69 | 997.03 | 0.04 | 1656.99 | 14074.80 |
| 30 | 120 | 1039 | 125078.17 | 14493.21 | 1079440.04 | 921.04 | 0.11 | 13905.79 | 14367.01 |
| 31 | 81 | 1055 | 84969.24 | 6492.21 | 1112066.12 | 1033.45 | 0.02 | 444.85 | 18345.85 |
| 32 | 70 | 1103 | 77200.21 | 4899.28 | 1216479.24 | 1063.33 | 0.04 | 1569.39 | 33798.09 |
| 33 | 95 | 1128 | 107648.73 | 9114.03 | 1271473.73 | 991.40 | 0.12 | 18548.84 | 43471.35 |
| 34 | 112 | 1148 | 128944.69 | 12615.25 | 1317987.24 | 943.82 | 0.18 | 41702.33 | 52412.45 |
| 35 | 86 | 1155 | 99145.30 | 7363.69 | 1334899.45 | 1018.67 | 0.12 | 18690.55 | 55828.19 |
| 36 | 78 | 1227 | 95914.74 | 6107.85 | 1506198.35 | 1040.29 | 0.15 | 34962.04 | 94971.30 |
|
| 4358.69 | 33087.55 | 3907725.84 | 562554.94 | 31034444.37 | - | 3.30 | 346057.70 | 623724.11 |
Уравнение прямой y = a+bx
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