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T00016565
1.
Año
Ye-yp y-yp y estimado Y X2 X3 1988 -16.18 -16.89 100.71 100 100 100 1989 -12.24 -10.89 104.65 106 104 99 1990 -9.56 -9.89 107.33 107 107 110 1991 2.79 3.11 119.68 120 120 126 1992 -6.7 -6.89 110.19 110 110 113 1993 -0.58 -0.89 116.31 116 116 103 1994 6.3 6.11 123.19 123 123 102 1995 16.07 16.11 132.96 133 133 103 1996 20.1 20.11 136.99 137 137 98 1258.19 1260.89 116.89 116.89 r2 1 Var r2ajustado 1 Stc 1260.89 80.85 -0.26 -0.47 Sec 1258.19 -0.26 0 0 Src 2.7 -0.47 0 0 13.47 -0.04 -0.08 -0.04 0 0 -0.08 0 0 Significancia Global 3.67 Err:502 Err:502 1396.03 Err:502 0.02 0.01 Err:502 0.01 0.03 0.75 0.80 0.85 0.9 0.95 0.975 0.71 0.896 1.119 1.415 1.895 2.365 Confianza 0.9 0.95 0.975 P.C. 1.440 1.943 2.447
2.
Residuo
X2 X3 x` -0.71 1 100 100 1 1 1 1.35 1 104 99 100 104 107 -0.33 1 107 110 100 99 110 0.32 1 120 126 -0.19 1 110 113 -0.31 1 116 103 -0.19 1 123 102 0.04 1 133 103 0.01 1 137 98 2.7 x`x Inversa 0.45 9 1050 954 29.9 -0.1 -0.17 1050 123808 111235 -0.1 0 0 954 111235 101772 -0.17 0 0 2.78 2.56 0.36 -3.68 -0.45 0.7 0.19 -0.97 -0.01 -0.01 -0.01 0 0 0 0 0.01 -0.01 -0.01 0.01 0.03 0.01 0 -0.01 0 Coeficientes Desviacion T Constante 5.13 3.67 1.4 Beta1 0.98 0.02 52.64 beta2 -0.02 0.03 -0.9 0.99 0.995 2.998 3.499 0.99 0.995 3.143 3.707
3.
1
1 1 1 1 1 120 110 116 123 133 137 126 113 103 102 103 98 -0.49 0.02 -0.01
4.
Año
Y X2 X3 X4 X5 X6 1968 5873 1051.8 1503.6 3.6 5.8 5.9 1969 7852 1078.8 1486.7 3.5 6.7 4.5 1970 8189 1075.3 1434.8 5 8.4 4.2 1971 7497 1107.5 2035.6 6 6.2 4.2 1972 8534 1171.1 2360.8 5.6 5.4 4.9 1973 8688 1235 2043.9 4.9 5.9 5 1974 7270 1217.8 1331.9 5.6 9.4 4.1 1975 5020 1202.3 1160 8.5 9.4 3.4 1976 6035 1271 1535 7.7 7.2 4.2 1977 7425 1332.7 1961.8 7 6.6 4.5 1978 9400 1399.2 2009.3 6 7.6 3.9 1979 9350 1431.6 1721.9 6 10.6 4.4 1980 6540 1480.7 1298 7.2 14.9 3.9 1981 7675 1510.3 1100 7.6 16.6 3.1 1982 7419 1492.2 1039 9.2 17.5 0.6 1983 7923 1535.4 1200 8.8 16 1.5 yestimado x2 x3 x4 x5 x6 1984 9555.22 1625.8 1438.6 7.3 15.8 2.3 1985 9674.48 1648.4 1892.5 8.4 16.4 2.5 1986 10719.05 1775.1 2196.8 8 14.3 3.2 1987 8502.19 1578.5 2045.1 9.6 13.2 2.7 1988 8547.68 1571.1 1860.3 9.8 13.3 1.9 Test de Chow Src Completo 13760938.2 Test 0.15 1 6670208.31 P.C 3.71 2 6512453.07 Test De Chow Completo 13760938.2 Test 0.02 1 12545147.6 P.C 224.58
5.
x2
4.88 x3 2.36 x4 -819.13 x5 12.01 x6 -851.39 Constante 5962.65
6.
7.02
1.86 -0.28 0.02 -1.39 (X´x)-1 -0.28 0.07 -0.03 Betas 1.47 0.02 -0.03 0.02 Varianza Beta 2.54 -0.39 0.02 Varianza B1 2.54 -0.39 0.09 -0.03 Varianza B2 0.09 0.02 -0.03 0.03 Varianza B3 0.03 1 t Hnula B1 2.76 B2 1 T -25.71 B3 47.47 q 2 R Betas r 0 1 0 7.02 1 0 0 1 -1.39 = 1 1.47 transpuesta R 0 0 1 0 0 1 q 1 R Betas r 1 0 -1 7.02 4 -1.39 0 1.47 R`` 1 1.55 0 -1 1.85 0.54 1.3 F (q,t-k) 0.95 P.C 4.96
7.
q
3 R Betas r 0 -3 1 7.02 7 0 1 0 -1.39 -2 0 0 1 1.47 1 R`` 0 0 0 5.65 -1.35 -3 1 0 -1.39 0.61 1 0 1 1.47 0.47 -0.45 0.2 0.16 q 4 R Betas r 1 -2 0 7.02 1 0 1 0 -1.39 -2 1 0 0 1.47 4 0 0 1 1 R`` 1 0 1 0 9.8 8.8 -2 1 0 0 -1.39 0.61 0 0 0 1 7.02 3.02 1.47 0.47 2.2 F (q,t-k) 0.15 P.C 0.75 0.12 q 3 R Betas r 1 -2 0 7.02 1 0 1 0 -1.39 -2 -1 0 1 1.47 4 R`` 1 0 -1 9.8 8.8 -2 1 0 -1.39 0.61 0 0 1 -5.55 -9.55 F (q,t-k) 2.93 P.C 0.2
8.
-3.18
9.
N
13 Var(U) 1.37 R2 0.88 Desviacion estandar 1.17 (Rβ − r )′[R( X ′X ) ] (Rβ − r −1 ˆ ˆ − R′ 1 F F= σµ ˆ2 RB-r -2.39 -2.39 0.47 R(x´x)-1R´ -0.28 0.47 0.02 -1.2 0.07 0.24 -0.03 24.99 27.75 -46.74 -31.11 48.6 F (q,t-k) 35.46 P.C 4.1
10.
0.87
-0.23 0.1 0.78 -0.23 0.1 -0.28 0.07 -0.03 -0.23 0.07 -0.03 0.02 -0.03 0.02 0.1 -0.03 0.02 3.18E+016 -1.35 0.61 0.47 2.42 -0.42 0.07 3.26 -0.42 2.42 -0.28 0.07 -0.03 -0.42 0.07 -0.28 1.86 -0.28 0.02 2.42 -0.28 1.86 0.02 -0.03 0.02 0.07 -0.03 0.02 2.87E+015 5.73E+015 -2.87E+015 5.73E+015 1.15E+016 -5.73E+015 8.8 0.61 3.02 0.47 -2.87E+015 -5.73E+015 2.87E+015 -26.5 514.14 107.79 3.51E+016 2.56E+016 3.48 2.42 -0.42 0.07 3.26 -0.42 -2.36 -0.28 0.07 -0.03 -0.42 0.07 0.26 -1.84 0.26 0.01 -2.36 0.26 1.85 789.96 2228.26 696.44 2228.26 6316.9 1960.03 8.8 0.61 -9.55 696.44 1960.03 615.15 1216.62 887.85 3.71
11.
12.
] (Rβ −
r ) q ′ ) −1 R′ −1 ˆ X σµ ˆ2 0.07 -0.03 -0.03 0.02 -0.03 0.02 27.75 75.07
13.
0.07 -0.03
0.02 0.02 -22.3 522.55 103.59 615.15
14.
15.
alfa =
0.05 grados de libertad del numerador 1 2 3 4 5 6 7 1 161.45 199.5 215.71 224.58 230.16 233.99 236.77 2 18.51 19 19.16 19.25 19.3 19.33 19.35 3 10.13 9.55 9.28 9.12 9.01 8.94 8.89 4 7.71 6.94 6.59 6.39 6.26 6.16 6.09 5 6.61 5.79 5.41 5.19 5.05 4.95 4.88 6 5.99 5.14 4.76 4.53 4.39 4.28 4.21 7 5.59 4.74 4.35 4.12 3.97 3.87 3.79 8 5.32 4.46 4.07 3.84 3.69 3.58 3.5 9 5.12 4.26 3.86 3.63 3.48 3.37 3.29 10 4.96 4.1 3.71 3.48 3.33 3.22 3.14 11 4.84 3.98 3.59 3.36 3.2 3.09 3.01 12 4.75 3.89 3.49 3.26 3.11 3 2.91 13 4.67 3.81 3.41 3.18 3.03 2.92 2.83 14 4.6 3.74 3.34 3.11 2.96 2.85 2.76 15 4.54 3.68 3.29 3.06 2.9 2.79 2.71 16 4.49 3.63 3.24 3.01 2.85 2.74 2.66 17 4.45 3.59 3.2 2.96 2.81 2.7 2.61 18 4.41 3.55 3.16 2.93 2.77 2.66 2.58 19 4.38 3.52 3.13 2.9 2.74 2.63 2.54 20 4.35 3.49 3.1 2.87 2.71 2.6 2.51 21 4.32 3.47 3.07 2.84 2.68 2.57 2.49 22 4.3 3.44 3.05 2.82 2.66 2.55 2.46 23 4.28 3.42 3.03 2.8 2.64 2.53 2.44 24 4.26 3.4 3.01 2.78 2.62 2.51 2.42 25 4.24 3.39 2.99 2.76 2.6 2.49 2.4 26 4.23 3.37 2.98 2.74 2.59 2.47 2.39 27 4.21 3.35 2.96 2.73 2.57 2.46 2.37 28 4.2 3.34 2.95 2.71 2.56 2.45 2.36 29 4.18 3.33 2.93 2.7 2.55 2.43 2.35 30 4.17 3.32 2.92 2.69 2.53 2.42 2.33 40 4.08 3.23 2.84 2.61 2.45 2.34 2.25 50 4.03 3.18 2.79 2.56 2.4 2.29 2.2 60 4 3.15 2.76 2.53 2.37 2.25 2.17 70 3.98 3.13 2.74 2.5 2.35 2.23 2.14 80 3.96 3.11 2.72 2.49 2.33 2.21 2.13 90 3.95 3.1 2.71 2.47 2.32 2.2 2.11 100 3.94 3.09 2.7 2.46 2.31 2.19 2.1 200 3.89 3.04 2.65 2.42 2.26 2.14 2.06 300 3.87 3.03 2.63 2.4 2.24 2.13 2.04 400 3.86 3.02 2.63 2.39 2.24 2.12 2.03 500 3.86 3.01 2.62 2.39 2.23 2.12 2.03 600 3.86 3.01 2.62 2.39 2.23 2.11 2.02 700 3.85 3.01 2.62 2.38 2.23 2.11 2.02 800 3.85 3.01 2.62 2.38 2.23 2.11 2.02 900 3.85 3.01 2.61 2.38 2.22 2.11 2.02 1000 3.85 3 2.61 2.38 2.22 2.11 2.02 1500 3.85 3 2.61 2.38 2.22 2.1 2.02 2000 3.85 3 2.61 2.38 2.22 2.1 2.01 10000 3.84 3 2.61 2.37 2.21 2.1 2.01 alfa = 0.03 grados de libertad del numerador 1 2 3 4 5 6 7 1 647.79 799.48 864.15 899.6 921.83 937.11 948.2 2 38.51 39 39.17 39.25 39.3 39.33 39.36 3 17.44 16.04 15.44 15.1 14.88 14.73 14.62 4 12.22 10.65 9.98 9.6 9.36 9.2 9.07 5 10.01 8.43 7.76 7.39 7.15 6.98 6.85 6 8.81 7.26 6.6 6.23 5.99 5.82 5.7 7 8.07 6.54 5.89 5.52 5.29 5.12 4.99 8 7.57 6.06 5.42 5.05 4.82 4.65 4.53 9 7.21 5.71 5.08 4.72 4.48 4.32 4.2 10 6.94 5.46 4.83 4.47 4.24 4.07 3.95
16.
11
6.72 5.26 4.63 4.28 4.04 3.88 3.76 12 6.55 5.1 4.47 4.12 3.89 3.73 3.61 13 6.41 4.97 4.35 4 3.77 3.6 3.48 14 6.3 4.86 4.24 3.89 3.66 3.5 3.38 15 6.2 4.77 4.15 3.8 3.58 3.41 3.29 16 6.12 4.69 4.08 3.73 3.5 3.34 3.22 17 6.04 4.62 4.01 3.66 3.44 3.28 3.16 18 5.98 4.56 3.95 3.61 3.38 3.22 3.1 19 5.92 4.51 3.9 3.56 3.33 3.17 3.05 20 5.87 4.46 3.86 3.51 3.29 3.13 3.01 21 5.83 4.42 3.82 3.48 3.25 3.09 2.97 22 5.79 4.38 3.78 3.44 3.22 3.05 2.93 23 5.75 4.35 3.75 3.41 3.18 3.02 2.9 24 5.72 4.32 3.72 3.38 3.15 2.99 2.87 25 5.69 4.29 3.69 3.35 3.13 2.97 2.85 26 5.66 4.27 3.67 3.33 3.1 2.94 2.82 27 5.63 4.24 3.65 3.31 3.08 2.92 2.8 28 5.61 4.22 3.63 3.29 3.06 2.9 2.78 29 5.59 4.2 3.61 3.27 3.04 2.88 2.76 30 5.57 4.18 3.59 3.25 3.03 2.87 2.75 40 5.42 4.05 3.46 3.13 2.9 2.74 2.62 50 5.34 3.97 3.39 3.05 2.83 2.67 2.55 60 5.29 3.93 3.34 3.01 2.79 2.63 2.51 70 5.25 3.89 3.31 2.97 2.75 2.59 2.47 80 5.22 3.86 3.28 2.95 2.73 2.57 2.45 90 5.2 3.84 3.26 2.93 2.71 2.55 2.43 100 5.18 3.83 3.25 2.92 2.7 2.54 2.42 200 5.1 3.76 3.18 2.85 2.63 2.47 2.35 300 5.07 3.73 3.16 2.83 2.61 2.45 2.33 400 5.06 3.72 3.15 2.82 2.6 2.44 2.32 500 5.05 3.72 3.14 2.81 2.59 2.43 2.31 600 5.05 3.71 3.14 2.81 2.59 2.43 2.31 700 5.05 3.71 3.13 2.8 2.58 2.43 2.31 800 5.04 3.71 3.13 2.8 2.58 2.42 2.3 900 5.04 3.7 3.13 2.8 2.58 2.42 2.3 1000 5.04 3.7 3.13 2.8 2.58 2.42 2.3 1500 5.03 3.7 3.12 2.79 2.57 2.42 2.3 2000 5.03 3.7 3.12 2.79 2.57 2.41 2.29 10000 5.03 3.69 3.12 2.79 2.57 2.41 2.29 alfa = 0.01 grados de libertad del numerador 1 2 3 4 5 6 7 1 4052.18 4999.34 5403.53 5624.26 5763.96 5858.95 5928.33 2 98.5 99 99.16 99.25 99.3 99.33 99.36 3 34.12 30.82 29.46 28.71 28.24 27.91 27.67 4 21.2 18 16.69 15.98 15.52 15.21 14.98 5 16.26 13.27 12.06 11.39 10.97 10.67 10.46 6 13.75 10.92 9.78 9.15 8.75 8.47 8.26 7 12.25 9.55 8.45 7.85 7.46 7.19 6.99 8 11.26 8.65 7.59 7.01 6.63 6.37 6.18 9 10.56 8.02 6.99 6.42 6.06 5.8 5.61 10 10.04 7.56 6.55 5.99 5.64 5.39 5.2 11 9.65 7.21 6.22 5.67 5.32 5.07 4.89 12 9.33 6.93 5.95 5.41 5.06 4.82 4.64 13 9.07 6.7 5.74 5.21 4.86 4.62 4.44 14 8.86 6.51 5.56 5.04 4.69 4.46 4.28 15 8.68 6.36 5.42 4.89 4.56 4.32 4.14 16 8.53 6.23 5.29 4.77 4.44 4.2 4.03 17 8.4 6.11 5.19 4.67 4.34 4.1 3.93 18 8.29 6.01 5.09 4.58 4.25 4.01 3.84 19 8.18 5.93 5.01 4.5 4.17 3.94 3.77 20 8.1 5.85 4.94 4.43 4.1 3.87 3.7 21 8.02 5.78 4.87 4.37 4.04 3.81 3.64 22 7.95 5.72 4.82 4.31 3.99 3.76 3.59
17.
23
7.88 5.66 4.76 4.26 3.94 3.71 3.54 24 7.82 5.61 4.72 4.22 3.9 3.67 3.5 25 7.77 5.57 4.68 4.18 3.85 3.63 3.46 26 7.72 5.53 4.64 4.14 3.82 3.59 3.42 27 7.68 5.49 4.6 4.11 3.78 3.56 3.39 28 7.64 5.45 4.57 4.07 3.75 3.53 3.36 29 7.6 5.42 4.54 4.04 3.73 3.5 3.33 30 7.56 5.39 4.51 4.02 3.7 3.47 3.3 40 7.31 5.18 4.31 3.83 3.51 3.29 3.12 50 7.17 5.06 4.2 3.72 3.41 3.19 3.02 60 7.08 4.98 4.13 3.65 3.34 3.12 2.95 70 7.01 4.92 4.07 3.6 3.29 3.07 2.91 80 6.96 4.88 4.04 3.56 3.26 3.04 2.87 90 6.93 4.85 4.01 3.53 3.23 3.01 2.84 100 6.9 4.82 3.98 3.51 3.21 2.99 2.82 200 6.76 4.71 3.88 3.41 3.11 2.89 2.73 300 6.72 4.68 3.85 3.38 3.08 2.86 2.7 400 6.7 4.66 3.83 3.37 3.06 2.85 2.68 500 6.69 4.65 3.82 3.36 3.05 2.84 2.68 600 6.68 4.64 3.81 3.35 3.05 2.83 2.67 700 6.67 4.64 3.81 3.35 3.04 2.83 2.66 800 6.67 4.63 3.81 3.34 3.04 2.82 2.66 900 6.66 4.63 3.8 3.34 3.04 2.82 2.66 1000 6.66 4.63 3.8 3.34 3.04 2.82 2.66 1500 6.65 4.62 3.79 3.33 3.03 2.81 2.65 2000 6.65 4.62 3.79 3.33 3.03 2.81 2.65 10000 6.64 4.61 3.78 3.32 3.02 2.8 2.64 alfa = 0.01 grados de libertad del numerador 1 2 3 4 5 6 7 1 16212.46 19997.36 21614.13 22500.75 23055.82 23439.53 23715.2 2 198.5 199.01 199.16 199.24 199.3 199.33 199.36 3 55.55 49.8 47.47 46.2 45.39 44.84 44.43 4 31.33 26.28 24.26 23.15 22.46 21.98 21.62 5 22.78 18.31 16.53 15.56 14.94 14.51 14.2 6 18.63 14.54 12.92 12.03 11.46 11.07 10.79 7 16.24 12.4 10.88 10.05 9.52 9.16 8.89 8 14.69 11.04 9.6 8.81 8.3 7.95 7.69 9 13.61 10.11 8.72 7.96 7.47 7.13 6.88 10 12.83 9.43 8.08 7.34 6.87 6.54 6.3 11 12.23 8.91 7.6 6.88 6.42 6.1 5.86 12 11.75 8.51 7.23 6.52 6.07 5.76 5.52 13 11.37 8.19 6.93 6.23 5.79 5.48 5.25 14 11.06 7.92 6.68 6 5.56 5.26 5.03 15 10.8 7.7 6.48 5.8 5.37 5.07 4.85 16 10.58 7.51 6.3 5.64 5.21 4.91 4.69 17 10.38 7.35 6.16 5.5 5.07 4.78 4.56 18 10.22 7.21 6.03 5.37 4.96 4.66 4.44 19 10.07 7.09 5.92 5.27 4.85 4.56 4.34 20 9.94 6.99 5.82 5.17 4.76 4.47 4.26 21 9.83 6.89 5.73 5.09 4.68 4.39 4.18 22 9.73 6.81 5.65 5.02 4.61 4.32 4.11 23 9.63 6.73 5.58 4.95 4.54 4.26 4.05 24 9.55 6.66 5.52 4.89 4.49 4.2 3.99 25 9.48 6.6 5.46 4.84 4.43 4.15 3.94 26 9.41 6.54 5.41 4.79 4.38 4.1 3.89 27 9.34 6.49 5.36 4.74 4.34 4.06 3.85 28 9.28 6.44 5.32 4.7 4.3 4.02 3.81 29 9.23 6.4 5.28 4.66 4.26 3.98 3.77 30 9.18 6.35 5.24 4.62 4.23 3.95 3.74 40 8.83 6.07 4.98 4.37 3.99 3.71 3.51 50 8.63 5.9 4.83 4.23 3.85 3.58 3.38 60 8.49 5.79 4.73 4.14 3.76 3.49 3.29 70 8.4 5.72 4.66 4.08 3.7 3.43 3.23
18.
80
8.33 5.67 4.61 4.03 3.65 3.39 3.19 90 8.28 5.62 4.57 3.99 3.62 3.35 3.15 100 8.24 5.59 4.54 3.96 3.59 3.33 3.13 200 8.06 5.44 4.41 3.84 3.47 3.21 3.01 300 8 5.39 4.36 3.8 3.43 3.17 2.97 400 7.97 5.37 4.34 3.78 3.41 3.15 2.95 500 7.95 5.35 4.33 3.76 3.4 3.14 2.94 600 7.94 5.35 4.32 3.76 3.39 3.13 2.93 700 7.93 5.34 4.32 3.75 3.38 3.12 2.93 800 7.92 5.33 4.31 3.75 3.38 3.12 2.92 900 7.92 5.33 4.31 3.74 3.38 3.12 2.92 1000 7.91 5.33 4.3 3.74 3.37 3.11 2.92 1500 7.9 5.32 4.3 3.73 3.37 3.11 2.91 2000 7.9 5.31 4.29 3.73 3.36 3.1 2.91 10000 7.88 5.3 4.28 3.72 3.35 3.09 2.9 alfa = 0 grados de libertad del numerador 1 2 3 4 5 6 7 1 405311.58 499725.34 540256.5 562667.85 576496.12 586032.87 593185.42 2 998.38 998.84 999.31 999.31 999.31 999.31 999.31 3 167.06 148.49 141.1 137.08 134.58 132.83 131.61 4 74.13 61.25 56.17 53.43 51.72 50.52 49.65 5 47.18 37.12 33.2 31.08 29.75 28.83 28.17 6 35.51 27 23.71 21.92 20.8 20.03 19.46 7 29.25 21.69 18.77 17.2 16.21 15.52 15.02 8 25.41 18.49 15.83 14.39 13.48 12.86 12.4 9 22.86 16.39 13.9 12.56 11.71 11.13 10.7 10 21.04 14.9 12.55 11.28 10.48 9.93 9.52 11 19.69 13.81 11.56 10.35 9.58 9.05 8.65 12 18.64 12.97 10.8 9.63 8.89 8.38 8 13 17.82 12.31 10.21 9.07 8.35 7.86 7.49 14 17.14 11.78 9.73 8.62 7.92 7.44 7.08 15 16.59 11.34 9.34 8.25 7.57 7.09 6.74 16 16.12 10.97 9.01 7.94 7.27 6.8 6.46 17 15.72 10.66 8.73 7.68 7.02 6.56 6.22 18 15.38 10.39 8.49 7.46 6.81 6.35 6.02 19 15.08 10.16 8.28 7.27 6.62 6.18 5.85 20 14.82 9.95 8.1 7.1 6.46 6.02 5.69 21 14.59 9.77 7.94 6.95 6.32 5.88 5.56 22 14.38 9.61 7.8 6.81 6.19 5.76 5.44 23 14.2 9.47 7.67 6.7 6.08 5.65 5.33 24 14.03 9.34 7.55 6.59 5.98 5.55 5.24 25 13.88 9.22 7.45 6.49 5.89 5.46 5.15 26 13.74 9.12 7.36 6.41 5.8 5.38 5.07 27 13.61 9.02 7.27 6.33 5.73 5.31 5 28 13.5 8.93 7.19 6.25 5.66 5.24 4.93 29 13.39 8.85 7.12 6.19 5.59 5.18 4.87 30 13.29 8.77 7.05 6.12 5.53 5.12 4.82 40 12.61 8.25 6.59 5.7 5.13 4.73 4.44 50 12.22 7.96 6.34 5.46 4.9 4.51 4.22 60 11.97 7.77 6.17 5.31 4.76 4.37 4.09 70 11.8 7.64 6.06 5.2 4.66 4.28 3.99 80 11.67 7.54 5.97 5.12 4.58 4.2 3.92 90 11.57 7.47 5.91 5.06 4.53 4.15 3.87 100 11.5 7.41 5.86 5.02 4.48 4.11 3.83 200 11.15 7.15 5.63 4.81 4.29 3.92 3.65 300 11.04 7.07 5.56 4.75 4.22 3.86 3.59 400 10.99 7.03 5.53 4.71 4.19 3.83 3.56 500 10.96 7 5.51 4.69 4.18 3.81 3.54 600 10.93 6.99 5.49 4.68 4.16 3.8 3.53 700 10.92 6.98 5.48 4.67 4.15 3.79 3.52 800 10.91 6.97 5.47 4.66 4.15 3.79 3.52 900 10.9 6.96 5.47 4.66 4.14 3.78 3.51 1000 10.89 6.96 5.46 4.65 4.14 3.78 3.51
19.
1500
10.87 6.94 5.45 4.64 4.13 3.77 3.5 2000 10.86 6.93 5.44 4.64 4.12 3.76 3.49 10000 10.83 6.91 5.43 4.62 4.11 3.75 3.48 alfa = 0 grados de libertad del numerador 1 2 3 4 5 6 7 1 1621246.34 1998901.37 2159118.65 2250671.39 2304077.15 2342224.12 2372741.7 2 1998.62 1998.62 1998.62 1998.62 2000.48 2000.48 2000.48 3 266.59 236.56 224.68 218.28 214.2 211.41 209.31 4 106.23 87.43 80.09 76.14 73.63 71.92 70.66 5 63.62 49.78 44.41 41.53 39.73 38.48 37.56 6 46.07 34.79 30.46 28.11 26.64 25.63 24.89 7 36.99 27.2 23.46 21.44 20.17 19.3 18.66 8 31.56 22.75 19.39 17.58 16.44 15.66 15.08 9 27.99 19.86 16.77 15.1 14.06 13.34 12.81 10 25.49 17.87 14.97 13.41 12.42 11.75 11.25 11 23.65 16.41 13.65 12.18 11.24 10.6 10.13 12 22.24 15.3 12.66 11.25 10.35 9.74 9.28 13 21.14 14.43 11.89 10.52 9.66 9.07 8.63 14 20.24 13.73 11.27 9.95 9.11 8.53 8.11 15 19.51 13.16 10.76 9.48 8.66 8.1 7.68 16 18.89 12.69 10.34 9.08 8.29 7.74 7.33 17 18.37 12.29 9.99 8.75 7.97 7.43 7.04 18 17.92 11.94 9.69 8.47 7.71 7.18 6.78 19 17.53 11.65 9.42 8.23 7.48 6.95 6.57 20 17.19 11.39 9.19 8.02 7.27 6.76 6.38 21 16.89 11.16 8.99 7.83 7.1 6.59 6.21 22 16.62 10.95 8.82 7.67 6.94 6.44 6.07 23 16.38 10.77 8.66 7.52 6.8 6.3 5.94 24 16.17 10.61 8.51 7.39 6.68 6.18 5.82 25 15.97 10.46 8.39 7.27 6.56 6.07 5.71 26 15.8 10.33 8.27 7.16 6.46 5.98 5.62 27 15.63 10.21 8.16 7.06 6.37 5.89 5.53 28 15.48 10.1 8.07 6.97 6.28 5.81 5.45 29 15.35 9.99 7.98 6.89 6.21 5.73 5.38 30 15.22 9.9 7.89 6.82 6.14 5.66 5.31 40 14.35 9.25 7.33 6.3 5.64 5.19 4.85 50 13.86 8.88 7.01 6.01 5.37 4.93 4.6 60 13.55 8.65 6.81 5.82 5.2 4.76 4.44 70 13.33 8.49 6.67 5.7 5.08 4.64 4.32 80 13.17 8.37 6.57 5.6 4.99 4.56 4.24 90 13.05 8.28 6.49 5.53 4.92 4.5 4.18 100 12.95 8.21 6.43 5.48 4.87 4.45 4.13 200 12.52 7.9 6.16 5.23 4.64 4.23 3.92 300 12.38 7.8 6.08 5.15 4.56 4.15 3.85 400 12.32 7.75 6.04 5.11 4.53 4.12 3.82 500 12.28 7.72 6.01 5.09 4.51 4.1 3.8 600 12.25 7.7 5.99 5.07 4.49 4.08 3.78 700 12.23 7.68 5.98 5.06 4.48 4.08 3.77 800 12.22 7.67 5.97 5.06 4.47 4.07 3.77 900 12.21 7.67 5.97 5.05 4.47 4.06 3.76 1000 12.19 7.66 5.96 5.04 4.46 4.06 3.76 1500 12.17 7.64 5.94 5.03 4.45 4.04 3.74 2000 12.15 7.63 5.93 5.02 4.44 4.04 3.74 10000 12.12 7.61 5.92 5 4.43 4.02 3.72 alfa = 0 grados de libertad del numerador 1 2 3 4 5 6 7
20.
1
40527343.75 49804687.5 54199218.75 56152343.75 57617187.5 58593750 59570312.5 2 10013.58 10013.58 10013.58 10013.58 10013.58 10013.58 10013.58 3 784.17 694.77 659.38 640.75 627.71 620.26 614.67 4 241.68 197.91 181.14 171.83 166.24 162.05 159.26 5 124.8 97.09 86.38 80.56 76.83 74.51 72.64 6 82.42 61.58 53.67 49.42 46.74 44.94 43.54 7 62.17 45.17 38.65 35.22 33.06 31.55 30.5 8 50.7 35.97 30.44 27.47 25.64 24.36 23.43 9 43.48 30.33 25.41 22.76 21.1 19.97 19.15 10 38.59 26.54 22.03 19.63 18.13 17.08 16.33 11 35.04 23.87 19.66 17.42 16.02 15.05 14.35 12 32.42 21.86 17.9 15.79 14.46 13.56 12.89 13 30.38 20.31 16.56 14.55 13.29 12.43 11.79 14 28.75 19.09 15.48 13.58 12.37 11.54 10.93 15 27.44 18.1 14.64 12.78 11.63 10.82 10.23 16 26.37 17.3 13.93 12.14 11.02 10.23 9.66 17 25.44 16.62 13.34 11.6 10.51 9.75 9.19 18 24.65 16.04 12.85 11.15 10.07 9.34 8.79 19 23.98 15.54 12.42 10.75 9.71 8.99 8.45 20 23.4 15.12 12.05 10.42 9.39 8.68 8.16 21 22.88 14.74 11.73 10.12 9.11 8.41 7.9 22 22.44 14.41 11.44 9.86 8.87 8.18 7.68 23 22.03 14.12 11.19 9.63 8.65 7.97 7.48 24 21.65 13.85 10.96 9.42 8.45 7.79 7.3 25 21.33 13.62 10.76 9.24 8.29 7.63 7.14 26 21.04 13.4 10.58 9.07 8.13 7.47 6.99 27 20.78 13.21 10.41 8.92 7.99 7.34 6.86 28 20.52 13.03 10.26 8.78 7.86 7.22 6.74 29 20.3 12.86 10.12 8.66 7.74 7.1 6.64 30 20.1 12.72 10 8.54 7.63 7 6.54 40 18.67 11.7 9.13 7.76 6.9 6.3 5.86 50 17.88 11.13 8.65 7.33 6.5 5.92 5.5 60 17.37 10.78 8.35 7.06 6.25 5.68 5.27 70 17.03 10.54 8.15 6.88 6.08 5.52 5.11 80 16.78 10.35 8 6.74 5.95 5.4 4.99 90 16.59 10.22 7.88 6.64 5.85 5.31 4.91 100 16.43 10.11 7.79 6.56 5.78 5.24 4.84 200 15.76 9.65 7.4 6.21 5.45 4.93 4.54 300 15.56 9.5 7.28 6.09 5.35 4.83 4.45 400 15.45 9.43 7.22 6.04 5.3 4.78 4.4 500 15.38 9.38 7.18 6.01 5.27 4.75 4.38 600 15.34 9.35 7.16 5.98 5.25 4.74 4.36 700 15.31 9.34 7.14 5.97 5.23 4.72 4.35 800 15.29 9.32 7.12 5.96 5.22 4.71 4.33 900 15.27 9.31 7.12 5.95 5.21 4.7 4.33 1000 15.26 9.3 7.11 5.94 5.21 4.7 4.32 1500 15.22 9.27 7.08 5.92 5.19 4.68 4.3 2000 15.2 9.26 7.07 5.91 5.18 4.67 4.29 10000 15.15 9.22 7.04 5.88 5.16 4.65 4.27
21.
8
9 10 20 60 100 10000 238.88 240.54 241.88 248.02 252.2 253.04 254.3 19.37 19.38 19.4 19.45 19.48 19.49 19.5 8.85 8.81 8.79 8.66 8.57 8.55 8.53 6.04 6 5.96 5.8 5.69 5.66 5.63 4.82 4.77 4.74 4.56 4.43 4.41 4.37 4.15 4.1 4.06 3.87 3.74 3.71 3.67 3.73 3.68 3.64 3.44 3.3 3.27 3.23 3.44 3.39 3.35 3.15 3.01 2.97 2.93 3.23 3.18 3.14 2.94 2.79 2.76 2.71 3.07 3.02 2.98 2.77 2.62 2.59 2.54 2.95 2.9 2.85 2.65 2.49 2.46 2.41 2.85 2.8 2.75 2.54 2.38 2.35 2.3 2.77 2.71 2.67 2.46 2.3 2.26 2.21 2.7 2.65 2.6 2.39 2.22 2.19 2.13 2.64 2.59 2.54 2.33 2.16 2.12 2.07 2.59 2.54 2.49 2.28 2.11 2.07 2.01 2.55 2.49 2.45 2.23 2.06 2.02 1.96 2.51 2.46 2.41 2.19 2.02 1.98 1.92 2.48 2.42 2.38 2.16 1.98 1.94 1.88 2.45 2.39 2.35 2.12 1.95 1.91 1.84 2.42 2.37 2.32 2.1 1.92 1.88 1.81 2.4 2.34 2.3 2.07 1.89 1.85 1.78 2.37 2.32 2.27 2.05 1.86 1.82 1.76 2.36 2.3 2.25 2.03 1.84 1.8 1.73 2.34 2.28 2.24 2.01 1.82 1.78 1.71 2.32 2.27 2.22 1.99 1.8 1.76 1.69 2.31 2.25 2.2 1.97 1.79 1.74 1.67 2.29 2.24 2.19 1.96 1.77 1.73 1.65 2.28 2.22 2.18 1.94 1.75 1.71 1.64 2.27 2.21 2.16 1.93 1.74 1.7 1.62 2.18 2.12 2.08 1.84 1.64 1.59 1.51 2.13 2.07 2.03 1.78 1.58 1.52 1.44 2.1 2.04 1.99 1.75 1.53 1.48 1.39 2.07 2.02 1.97 1.72 1.5 1.45 1.35 2.06 2 1.95 1.7 1.48 1.43 1.33 2.04 1.99 1.94 1.69 1.46 1.41 1.3 2.03 1.97 1.93 1.68 1.45 1.39 1.28 1.98 1.93 1.88 1.62 1.39 1.32 1.19 1.97 1.91 1.86 1.61 1.36 1.3 1.15 1.96 1.9 1.85 1.6 1.35 1.28 1.13 1.96 1.9 1.85 1.59 1.35 1.28 1.12 1.95 1.9 1.85 1.59 1.34 1.27 1.11 1.95 1.89 1.84 1.59 1.34 1.27 1.1 1.95 1.89 1.84 1.58 1.34 1.26 1.09 1.95 1.89 1.84 1.58 1.33 1.26 1.09 1.95 1.89 1.84 1.58 1.33 1.26 1.08 1.94 1.89 1.84 1.58 1.33 1.25 1.07 1.94 1.88 1.84 1.58 1.32 1.25 1.06 1.94 1.88 1.83 1.57 1.32 1.25 1.03 8 9 10 20 60 100 10000 956.64 963.28 968.63 993.08 1009.79 1013.16 1018.23 39.37 39.39 39.4 39.45 39.48 39.49 39.5 14.54 14.47 14.42 14.17 13.99 13.96 13.9 8.98 8.9 8.84 8.56 8.36 8.32 8.26 6.76 6.68 6.62 6.33 6.12 6.08 6.02 5.6 5.52 5.46 5.17 4.96 4.92 4.85 4.9 4.82 4.76 4.47 4.25 4.21 4.14 4.43 4.36 4.3 4 3.78 3.74 3.67 4.1 4.03 3.96 3.67 3.45 3.4 3.33 3.85 3.78 3.72 3.42 3.2 3.15 3.08
22.
3.66
3.59 3.53 3.23 3 2.96 2.88 3.51 3.44 3.37 3.07 2.85 2.8 2.73 3.39 3.31 3.25 2.95 2.72 2.67 2.6 3.29 3.21 3.15 2.84 2.61 2.56 2.49 3.2 3.12 3.06 2.76 2.52 2.47 2.4 3.12 3.05 2.99 2.68 2.45 2.4 2.32 3.06 2.98 2.92 2.62 2.38 2.33 2.25 3.01 2.93 2.87 2.56 2.32 2.27 2.19 2.96 2.88 2.82 2.51 2.27 2.22 2.13 2.91 2.84 2.77 2.46 2.22 2.17 2.09 2.87 2.8 2.73 2.42 2.18 2.13 2.04 2.84 2.76 2.7 2.39 2.14 2.09 2 2.81 2.73 2.67 2.36 2.11 2.06 1.97 2.78 2.7 2.64 2.33 2.08 2.02 1.94 2.75 2.68 2.61 2.3 2.05 2 1.91 2.73 2.65 2.59 2.28 2.03 1.97 1.88 2.71 2.63 2.57 2.25 2 1.94 1.85 2.69 2.61 2.55 2.23 1.98 1.92 1.83 2.67 2.59 2.53 2.21 1.96 1.9 1.81 2.65 2.57 2.51 2.2 1.94 1.88 1.79 2.53 2.45 2.39 2.07 1.8 1.74 1.64 2.46 2.38 2.32 1.99 1.72 1.66 1.55 2.41 2.33 2.27 1.94 1.67 1.6 1.48 2.38 2.3 2.24 1.91 1.63 1.56 1.44 2.35 2.28 2.21 1.88 1.6 1.53 1.4 2.34 2.26 2.19 1.86 1.58 1.5 1.37 2.32 2.24 2.18 1.85 1.56 1.48 1.35 2.26 2.18 2.11 1.78 1.47 1.39 1.23 2.23 2.16 2.09 1.75 1.45 1.36 1.18 2.22 2.15 2.08 1.74 1.43 1.35 1.16 2.22 2.14 2.07 1.74 1.42 1.34 1.14 2.21 2.13 2.07 1.73 1.42 1.33 1.13 2.21 2.13 2.07 1.73 1.41 1.32 1.12 2.21 2.13 2.06 1.73 1.41 1.32 1.11 2.21 2.13 2.06 1.72 1.41 1.32 1.1 2.2 2.13 2.06 1.72 1.41 1.32 1.1 2.2 2.12 2.06 1.72 1.4 1.31 1.08 2.2 2.12 2.05 1.72 1.4 1.31 1.07 2.19 2.11 2.05 1.71 1.39 1.3 1.04 8 9 10 20 60 100 10000 5980.95 6022.4 6055.93 6208.66 6312.97 6333.92 6365.59 99.38 99.39 99.4 99.45 99.48 99.49 99.5 27.49 27.34 27.23 26.69 26.32 26.24 26.13 14.8 14.66 14.55 14.02 13.65 13.58 13.46 10.29 10.16 10.05 9.55 9.2 9.13 9.02 8.1 7.98 7.87 7.4 7.06 6.99 6.88 6.84 6.72 6.62 6.16 5.82 5.75 5.65 6.03 5.91 5.81 5.36 5.03 4.96 4.86 5.47 5.35 5.26 4.81 4.48 4.41 4.31 5.06 4.94 4.85 4.41 4.08 4.01 3.91 4.74 4.63 4.54 4.1 3.78 3.71 3.6 4.5 4.39 4.3 3.86 3.54 3.47 3.36 4.3 4.19 4.1 3.66 3.34 3.27 3.17 4.14 4.03 3.94 3.51 3.18 3.11 3.01 4 3.89 3.8 3.37 3.05 2.98 2.87 3.89 3.78 3.69 3.26 2.93 2.86 2.75 3.79 3.68 3.59 3.16 2.83 2.76 2.65 3.71 3.6 3.51 3.08 2.75 2.68 2.57 3.63 3.52 3.43 3 2.67 2.6 2.49 3.56 3.46 3.37 2.94 2.61 2.54 2.42 3.51 3.4 3.31 2.88 2.55 2.48 2.36 3.45 3.35 3.26 2.83 2.5 2.42 2.31
23.
3.41
3.3 3.21 2.78 2.45 2.37 2.26 3.36 3.26 3.17 2.74 2.4 2.33 2.21 3.32 3.22 3.13 2.7 2.36 2.29 2.17 3.29 3.18 3.09 2.66 2.33 2.25 2.13 3.26 3.15 3.06 2.63 2.29 2.22 2.1 3.23 3.12 3.03 2.6 2.26 2.19 2.07 3.2 3.09 3 2.57 2.23 2.16 2.04 3.17 3.07 2.98 2.55 2.21 2.13 2.01 2.99 2.89 2.8 2.37 2.02 1.94 1.81 2.89 2.78 2.7 2.27 1.91 1.82 1.68 2.82 2.72 2.63 2.2 1.84 1.75 1.6 2.78 2.67 2.59 2.15 1.78 1.7 1.54 2.74 2.64 2.55 2.12 1.75 1.65 1.5 2.72 2.61 2.52 2.09 1.72 1.62 1.46 2.69 2.59 2.5 2.07 1.69 1.6 1.43 2.6 2.5 2.41 1.97 1.58 1.48 1.28 2.57 2.47 2.38 1.94 1.55 1.44 1.22 2.56 2.45 2.37 1.92 1.53 1.42 1.19 2.55 2.44 2.36 1.92 1.52 1.41 1.17 2.54 2.44 2.35 1.91 1.51 1.4 1.15 2.54 2.43 2.35 1.9 1.5 1.39 1.14 2.53 2.43 2.34 1.9 1.5 1.39 1.13 2.53 2.43 2.34 1.9 1.5 1.39 1.12 2.53 2.43 2.34 1.9 1.5 1.38 1.12 2.52 2.42 2.33 1.89 1.49 1.38 1.1 2.52 2.42 2.33 1.89 1.48 1.37 1.09 2.51 2.41 2.32 1.88 1.48 1.36 1.05 8 9 10 20 60 100 10000 23923.81 24091.45 24221.84 24836.51 25253.74 25339.42 25466.08 199.38 199.39 199.39 199.45 199.48 199.48 199.51 44.13 43.88 43.68 42.78 42.15 42.02 41.83 21.35 21.14 20.97 20.17 19.61 19.5 19.33 13.96 13.77 13.62 12.9 12.4 12.3 12.15 10.57 10.39 10.25 9.59 9.12 9.03 8.88 8.68 8.51 8.38 7.75 7.31 7.22 7.08 7.5 7.34 7.21 6.61 6.18 6.09 5.95 6.69 6.54 6.42 5.83 5.41 5.32 5.19 6.12 5.97 5.85 5.27 4.86 4.77 4.64 5.68 5.54 5.42 4.86 4.45 4.36 4.23 5.35 5.2 5.09 4.53 4.12 4.04 3.91 5.08 4.94 4.82 4.27 3.87 3.78 3.65 4.86 4.72 4.6 4.06 3.66 3.57 3.44 4.67 4.54 4.42 3.88 3.48 3.39 3.26 4.52 4.38 4.27 3.73 3.33 3.25 3.11 4.39 4.25 4.14 3.61 3.21 3.12 2.99 4.28 4.14 4.03 3.5 3.1 3.01 2.87 4.18 4.04 3.93 3.4 3 2.91 2.78 4.09 3.96 3.85 3.32 2.92 2.83 2.69 4.01 3.88 3.77 3.24 2.84 2.75 2.62 3.94 3.81 3.7 3.18 2.77 2.69 2.55 3.88 3.75 3.64 3.12 2.71 2.62 2.49 3.83 3.69 3.59 3.06 2.66 2.57 2.43 3.78 3.64 3.54 3.01 2.61 2.52 2.38 3.73 3.6 3.49 2.97 2.56 2.47 2.33 3.69 3.56 3.45 2.93 2.52 2.43 2.29 3.65 3.52 3.41 2.89 2.48 2.39 2.25 3.61 3.48 3.38 2.86 2.45 2.36 2.21 3.58 3.45 3.34 2.82 2.42 2.32 2.18 3.35 3.22 3.12 2.6 2.18 2.09 1.93 3.22 3.09 2.99 2.47 2.05 1.95 1.79 3.13 3.01 2.9 2.39 1.96 1.86 1.69 3.08 2.95 2.85 2.33 1.9 1.8 1.62
24.
3.03
2.91 2.8 2.29 1.85 1.75 1.57 3 2.87 2.77 2.25 1.82 1.71 1.52 2.97 2.85 2.74 2.23 1.79 1.68 1.49 2.86 2.73 2.63 2.11 1.66 1.54 1.32 2.82 2.69 2.59 2.07 1.62 1.5 1.25 2.8 2.68 2.57 2.06 1.6 1.47 1.21 2.79 2.66 2.56 2.04 1.58 1.46 1.19 2.78 2.66 2.56 2.04 1.58 1.45 1.17 2.78 2.65 2.55 2.03 1.57 1.44 1.16 2.77 2.65 2.55 2.03 1.56 1.44 1.15 2.77 2.65 2.54 2.02 1.56 1.43 1.14 2.77 2.64 2.54 2.02 1.56 1.43 1.13 2.76 2.64 2.53 2.01 1.55 1.42 1.11 2.76 2.63 2.53 2.01 1.55 1.42 1.09 2.75 2.62 2.52 2 1.54 1.4 1.05 8 9 10 20 60 100 10000 597953.8 602245.33 605583.19 620841.98 631332.4 633239.75 636577.61 999.31 999.31 999.31 999.31 999.31 999.31 999.31 130.62 129.86 129.22 126.43 124.45 124.07 123.46 49 48.47 48.05 46.1 44.75 44.47 44.05 27.65 27.24 26.91 25.39 24.33 24.11 23.79 19.03 18.69 18.41 17.12 16.21 16.03 15.75 14.63 14.33 14.08 12.93 12.12 11.95 11.7 12.05 11.77 11.54 10.48 9.73 9.57 9.34 10.37 10.11 9.89 8.9 8.19 8.04 7.82 9.2 8.96 8.75 7.8 7.12 6.98 6.76 8.35 8.12 7.92 7.01 6.35 6.21 6 7.71 7.48 7.29 6.4 5.76 5.63 5.42 7.21 6.98 6.8 5.93 5.3 5.17 4.97 6.8 6.58 6.4 5.56 4.94 4.81 4.61 6.47 6.26 6.08 5.25 4.64 4.51 4.31 6.2 5.98 5.81 4.99 4.39 4.26 4.06 5.96 5.75 5.58 4.78 4.18 4.05 3.85 5.76 5.56 5.39 4.59 4 3.87 3.67 5.59 5.39 5.22 4.43 3.84 3.71 3.52 5.44 5.24 5.08 4.29 3.7 3.58 3.38 5.31 5.11 4.95 4.17 3.58 3.46 3.26 5.19 4.99 4.83 4.06 3.48 3.35 3.15 5.09 4.89 4.73 3.96 3.38 3.25 3.06 4.99 4.8 4.64 3.87 3.29 3.17 2.97 4.91 4.71 4.56 3.79 3.22 3.09 2.89 4.83 4.64 4.48 3.72 3.15 3.02 2.82 4.76 4.57 4.41 3.66 3.08 2.96 2.76 4.69 4.5 4.35 3.6 3.02 2.9 2.7 4.64 4.45 4.29 3.54 2.97 2.84 2.64 4.58 4.39 4.24 3.49 2.92 2.79 2.59 4.21 4.02 3.87 3.15 2.57 2.44 2.23 4 3.82 3.67 2.95 2.38 2.25 2.03 3.86 3.69 3.54 2.83 2.25 2.12 1.89 3.77 3.6 3.45 2.74 2.16 2.03 1.8 3.7 3.53 3.39 2.68 2.1 1.96 1.72 3.65 3.48 3.34 2.63 2.05 1.91 1.66 3.61 3.44 3.3 2.59 2.01 1.87 1.62 3.43 3.26 3.12 2.42 1.83 1.68 1.39 3.38 3.21 3.07 2.37 1.78 1.62 1.31 3.35 3.18 3.04 2.34 1.75 1.59 1.26 3.33 3.16 3.02 2.33 1.73 1.57 1.23 3.32 3.15 3.01 2.32 1.72 1.56 1.21 3.31 3.14 3 2.31 1.71 1.55 1.19 3.31 3.14 3 2.3 1.7 1.54 1.18 3.3 3.13 2.99 2.3 1.7 1.54 1.17 3.3 3.13 2.99 2.3 1.69 1.53 1.16
25.
3.29
3.12 2.98 2.29 1.68 1.52 1.13 3.28 3.11 2.97 2.28 1.68 1.51 1.11 3.27 3.1 2.96 2.27 1.66 1.5 1.06 8 9 10 20 60 100 10000 2391815.19 2410888.67 2422332.76 2483367.92 2525329.59 2532958.98 2548217.77 2000.48 2000.48 2000.48 2000.48 2000.48 2000.48 2000.48 207.8 206.64 205.59 201.05 197.91 197.32 196.39 69.7 68.95 68.34 65.54 63.56 63.18 62.57 36.86 36.31 35.86 33.8 32.36 32.06 31.62 24.32 23.88 23.52 21.83 20.65 20.41 20.05 18.17 17.78 17.47 16 14.97 14.76 14.44 14.64 14.29 14.01 12.69 11.75 11.56 11.26 12.4 12.07 11.82 10.59 9.72 9.54 9.27 10.87 10.56 10.32 9.16 8.34 8.17 7.91 9.76 9.48 9.24 8.14 7.35 7.19 6.93 8.93 8.66 8.43 7.37 6.61 6.45 6.21 8.29 8.03 7.81 6.78 6.04 5.88 5.64 7.78 7.52 7.31 6.31 5.58 5.43 5.19 7.37 7.11 6.9 5.93 5.21 5.06 4.83 7.02 6.77 6.57 5.61 4.91 4.76 4.53 6.73 6.49 6.29 5.34 4.65 4.5 4.27 6.48 6.24 6.05 5.12 4.43 4.28 4.06 6.27 6.03 5.84 4.92 4.24 4.1 3.87 6.09 5.85 5.66 4.75 4.08 3.93 3.71 5.92 5.69 5.5 4.6 3.93 3.79 3.56 5.78 5.55 5.36 4.47 3.81 3.66 3.44 5.65 5.43 5.24 4.36 3.69 3.55 3.32 5.54 5.31 5.13 4.25 3.59 3.45 3.22 5.43 5.21 5.03 4.16 3.5 3.36 3.13 5.34 5.12 4.94 4.07 3.42 3.27 3.05 5.26 5.03 4.86 3.99 3.34 3.2 2.97 5.18 4.96 4.78 3.92 3.27 3.13 2.9 5.11 4.89 4.71 3.86 3.21 3.06 2.84 5.04 4.82 4.65 3.8 3.15 3.01 2.78 4.59 4.38 4.21 3.39 2.75 2.6 2.37 4.34 4.14 3.97 3.16 2.52 2.37 2.13 4.19 3.98 3.82 3.02 2.38 2.23 1.98 4.08 3.88 3.71 2.92 2.28 2.13 1.87 4 3.8 3.64 2.85 2.2 2.05 1.79 3.94 3.74 3.58 2.79 2.15 1.99 1.72 3.89 3.69 3.53 2.75 2.1 1.95 1.67 3.68 3.49 3.33 2.55 1.9 1.74 1.43 3.61 3.42 3.27 2.49 1.84 1.67 1.33 3.58 3.39 3.24 2.46 1.81 1.64 1.28 3.56 3.37 3.22 2.45 1.79 1.62 1.25 3.55 3.36 3.2 2.43 1.78 1.6 1.22 3.54 3.35 3.2 2.43 1.77 1.59 1.21 3.53 3.34 3.19 2.42 1.76 1.58 1.19 3.53 3.34 3.18 2.41 1.75 1.58 1.18 3.52 3.33 3.18 2.41 1.75 1.57 1.17 3.51 3.32 3.17 2.4 1.74 1.56 1.14 3.5 3.31 3.16 2.39 1.73 1.55 1.12 3.49 3.3 3.15 2.38 1.72 1.54 1.07 8 9 10 20 60 100 10000
26.
59570312.5
60546875 60546875 62011718.75 63476562.5 63476562.5 63476562.5 10013.58 10013.58 10013.58 10013.58 10013.58 10013.58 10013.58 609.08 605.36 603.5 588.6 581.15 577.42 575.56 156.93 155.53 154.13 147.61 142.96 142.03 140.63 71.25 70.08 69.27 65.19 62.28 61.7 60.89 42.55 41.73 41.09 38.07 35.91 35.51 34.81 29.63 28.99 28.46 25.96 24.24 23.87 23.34 22.7 22.15 21.68 19.56 18.04 17.72 17.26 18.51 17.99 17.58 15.69 14.32 14.04 13.62 15.75 15.28 14.9 13.15 11.9 11.64 11.25 13.8 13.37 13.02 11.39 10.22 9.98 9.6 12.38 11.98 11.64 10.1 8.99 8.76 8.41 11.31 10.91 10.6 9.12 8.06 7.84 7.5 10.46 10.08 9.79 8.37 7.34 7.12 6.8 9.78 9.42 9.13 7.76 6.76 6.56 6.23 9.23 8.88 8.6 7.26 6.29 6.09 5.77 8.77 8.43 8.15 6.85 5.9 5.7 5.39 8.37 8.05 7.78 6.5 5.57 5.37 5.07 8.05 7.72 7.46 6.21 5.29 5.09 4.79 7.76 7.44 7.18 5.95 5.05 4.85 4.55 7.51 7.2 6.94 5.73 4.83 4.64 4.35 7.29 6.98 6.73 5.53 4.65 4.46 4.17 7.09 6.79 6.54 5.36 4.49 4.3 4 6.92 6.62 6.37 5.21 4.34 4.15 3.86 6.77 6.47 6.22 5.07 4.21 4.02 3.73 6.62 6.33 6.09 4.95 4.09 3.9 3.61 6.5 6.21 5.97 4.83 3.98 3.8 3.51 6.38 6.09 5.86 4.73 3.89 3.7 3.41 6.28 5.99 5.76 4.64 3.8 3.61 3.33 6.18 5.9 5.66 4.55 3.72 3.53 3.24 5.53 5.26 5.03 3.98 3.16 2.98 2.69 5.17 4.91 4.69 3.66 2.86 2.68 2.38 4.95 4.69 4.48 3.47 2.67 2.49 2.19 4.79 4.54 4.33 3.33 2.54 2.36 2.05 4.68 4.43 4.23 3.24 2.45 2.26 1.94 4.6 4.35 4.15 3.16 2.37 2.18 1.86 4.53 4.29 4.08 3.1 2.32 2.13 1.8 4.25 4.01 3.81 2.85 2.06 1.87 1.5 4.15 3.92 3.72 2.77 1.98 1.78 1.39 4.11 3.87 3.68 2.73 1.94 1.74 1.33 4.08 3.85 3.66 2.71 1.92 1.71 1.29 4.07 3.83 3.64 2.69 1.9 1.7 1.26 4.05 3.82 3.63 2.68 1.89 1.69 1.24 4.04 3.81 3.62 2.68 1.88 1.68 1.22 4.04 3.8 3.61 2.67 1.88 1.67 1.21 4.03 3.8 3.61 2.66 1.87 1.66 1.2 4.01 3.78 3.59 2.65 1.86 1.65 1.16 4 3.77 3.58 2.64 1.85 1.64 1.14 3.98 3.75 3.56 2.62 1.83 1.62 1.08
27.
1 − α r 0.75 0.80 0.85 0.9 0.95 0.975 0.99 1 1 1.376 1.963 3.078 6.314 12.71 31.82 2 0.82 1.061 1.386 1.886 2.920 4.303 6.965 3 0.77 0.978 1.250 1.638 2.353 3.182 4.541 4 0.74 0.941 1.190 1.533 2.132 2.776 3.747 5 0.73 0.920 1.156 1.476 2.015 2.571 3.365 6 0.72 0.906 1.134 1.440 1.943 2.447 3.143 7 0.71 0.896 1.119 1.415 1.895 2.365 2.998 8 0.71 0.889 1.108 1.397 1.860 2.306 2.896 9 0.7 0.883 1.100 1.383 1.833 2.262 2.821 10 0.7 0.879 1.093 1.372 1.812 2.228 2.764 11 0.7 0.876 1.088 1.363 1.796 2.201 2.718 12 0.7 0.873 1.083 1.356 1.782 2.179 2.681 13 0.69 0.870 1.079 1.350 1.771 2.160 2.650 14 0.69 0.868 1.076 1.345 1.761 2.145 2.624 15 0.69 0.866 1.074 1.341 1.753 2.131 2.602 16 0.69 0.865 1.071 1.337 1.746 2.120 2.583 17 0.69 0.863 1.069 1.333 1.740 2.110 2.567 18 0.69 0.862 1.067 1.330 1.734 2.101 2.552 19 0.69 0.861 1.066 1.328 1.729 2.093 2.539 20 0.69 0.860 1.064 1.325 1.725 2.086 2.528 21 0.69 0.859 1.063 1.323 1.721 2.080 2.518 22 0.69 0.858 1.061 1.321 1.717 2.074 2.508 23 0.69 0.858 1.060 1.319 1.714 2.069 2.500 24 0.69 0.857 1.059 1.318 1.711 2.064 2.492 25 0.68 0.856 1.058 1.316 1.708 2.060 2.485 26 0.68 0.856 1.058 1.315 1.706 2.056 2.479 27 0.68 0.855 1.057 1.314 1.703 2.052 2.473 28 0.68 0.855 1.056 1.313 1.701 2.048 2.467 29 0.68 0.854 1.055 1.311 1.699 2.045 2.462 30 0.68 0.854 1.055 1.310 1.697 2.042 2.457 40 0.68 0.851 1.050 1.303 1.684 2.021 2.423 60 0.68 0.848 1.046 1.296 1.671 2.000 2.390 120 0.68 0.845 1.041 1.289 1.658 1.980 2.358 0.67 0.842 1.036 1.282 1.645 1.960 2.326 ∞
28.
0.995 63.66 9.925 5.841 4.604 4.032 3.707 3.499 3.355 3.250 3.169 3.106 3.055 3.012 2.977 2.947 2.921 2.898 2.878 2.861 2.845 2.831 2.819 2.807 2.797 2.787 2.779 2.771 2.763 2.756 2.750 2.704 2.660 2.617 2.576
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