diseño hexagonal parcial

FACTORES SIMBOLO NIVEL1 2

AEROFLAT 25 (g/TMS) X1 20 4.5AEROFLAT 242,(g/TMS) X2 9.5 11.25

X1= AEROFLAT 25 (g/TMS)12.25 X2= AEROFLAT 242,(g/TMS)10.3757.75 0.875

X1 X2 X1 X2

1 1.000 0.000 4.500 10.3752 0.500 0.866 8.375 11.1333 -0.500 0.866 16.125 11.1334 -1.000 0.000 20.000 10.3755 -0.500 -0.866 16.125 9.6176 0.500 -0.866 8.375 9.6177 0.000 0.000 12.250 10.3758 0.000 0.000 12.250 10.3759 0.000 0.000 12.250 10.375

NY X° X1 X2 (X1)2 (X2)2 X1X2 (X1)3 (X1)(X2)2 (X1)2(X2) (X2)3 (X1)4 X1)2 X2)2 (X2)4 X1X2)3 X1)3(X2

1 74.17 1 1 0 1 0 0 1 0 0 0 1 0 0 0 02 74.31 1 0.5 0.866 0.25 0.749956 0.433 0.125 0.374978 0.2165 0.6494619 0.0625 0.187489 0.562434 0.32473095 0.108253 79.25 1 -0.5 0.866 0.25 0.749956 -0.433 -0.125 -0.374978 0.2165 0.6494619 0.0625 0.187489 0.562434 -0.32473095 -0.108254 80.53 1 -1 0 1 0 0 -1 0 0 0 1 0 0 0 05 80.58 1 -0.5 -0.866 0.25 0.749956 0.433 -0.125 -0.374978 -0.2165 -0.6494619 0.0625 0.187489 0.562434 0.32473095 0.108256 80.94 1 0.5 -0.866 0.25 0.749956 -0.433 0.125 0.374978 -0.2165 -0.6494619 0.0625 0.187489 0.562434 -0.32473095 -0.108257 78.00 1 0 0 0 0 0 0 0 0 0 0 0 0 0 08 82.21 1 0 0 0 0 0 0 0 0 0 0 0 0 0 09 81.45 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0

b0 b1 b2 b11 b22 b12 Y9 0 0 3 2.999824 0 711.440 3 0 0 0 0 -8.650 0 2.999824 0 0 0 -6.893363 0 0 2.25 0.749956 0 233.473 0 0 0.74996 2.249736 0 236.2961360 0 0 0 0 0.749956 -2.2949

b1 = -2.88333333b2 = -2.29792148b12 = -3.06004619

b0 b11 b22 Y9 3 2.99982 711.443 2.25 0.74996 233.47

2.999824 0.749956 2.24974 236.2961365

0.333333333 -0.3333333 -0.33335-0.33333333 0.83333333 0.16668-0.33335289 0.16667645 0.83343

b0 = 80.55333333b11 = -3.20333333b12 = -1.31007686

EL MODELO CODIFICADO ES:

Y = 80.55 + -2.88 X1 + -2.30 X2 + -3.20 (X1)2 + -1.31 (X2)2 + -3.06 X1X2

N Y CALC Y OBS CAL-OBS E(CAL-OBS)21 80.23 74.17 6.06 36.762 79.55 74.31 5.24 27.423 74.01 79.25 -5.24 27.424 74.47 80.53 -6.06 36.765 80.64 80.58 0.06 0.006 80.88 80.94 -0.06 0.007 80.55 78.00 2.55 6.528 80.55 82.21 -1.66 2.749 80.55 81.45 -0.90 0.80

RESIDUAL DEBIDO A FALTA DE AJUSTEY AL ERROR EXPERIMENTAL: 138.45

ERROR SUMA DE CUADRADOS: 10.07

ANALISIS DE VARIANZA==================================================================

G.L. S^2 (VARIANZA)3 G.L. ERROR TOTAL 138.45 3 46.14982222 G.L. ERROR EXPERIMENTAL 10.06807 2 5.034033331 G.L. ERROR POR FALTA DE AJUSTE 128.3814 1 128.3814

==================================================================

F CALC= S^2 (FALTA DE AJUSTE) = 128.3814 25.5026917S^2 (ERROR EXPERIMENTAL) 5.034033333

F CALC =25.50269168

F TABLAS= 18.513 (PARA 95% CONFIDENCIA, PARA 1 Y 2 G.L.)

SI F(TABLAS)>F(CALC) EL AJUSTE DEL MODELO ES VALEDERO

OPTIMIZANDO EL SISTEMAPARA LA ECUACION:

Y = 80.55333333 + -2.88333 X1 + -2.297921478 X2 + -3.20333333 (X1)2 + -1.31007686 (X2)2 + -3.06004619 X1X2

DERIVANDO PARCIALMENTE Y CON RESPECTO A X1

dY------- = -2.88333333 + 2 x -3.203333333 X1 + -3.06004619 X2 = 0 (I)

dX1

DERIVANDO PARCIALMENTE Y CON RESPECTO A X2

dY------- = -2.29792148 + 2 x -1.310076858 X2 + -3.06004619 X1 = 0 (II)

dX2

RESOLVIENDO (I) Y (II)

-6.4066667 -3.06005 2.883333333-3.0600462 -2.62015 2.297921478

19.6046959 9.36388 -8.82313317919.6046959 16.7865 -14.72201694

0 -7.42257 5.898883757

X2 = -0.7947227

X1 = -0.0704649

AEROFLAT 25 (g/TMS)OPTIMO = 11.7039

VALORES EXPERIMENTALES

EN LA EVALUACION DE DOSIFICACION DE COLECTORES

TABLA DE DISCREPANCIA

CALCULO DE LAS ECUACIONES NORMALES (TERMINOS)

CONSTANTES POR CALCULAR

CALCULO DE LAS CONSTANTES DE LOS COEFICIENTES

DETERMINACION DE COEFICIENTES DEL MODELO

RESPUESTA MATRIZ DE VARIABLES INDEPENDIENTES

VALORES DE DISEÑO