polinom

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EJEMPLO AJUSTE DE CURVAS - REGRESION POLINOMIAL x y x^2 x^3 x^4 xy x^2y 1 0.5 1 1 1 0.5 0.5 2 1.5 4 8 16 3 6 3 3.4 9 27 81 10.2 30.6 4 5 16 64 256 20 80 5 8.4 25 125 625 42 210 15 18.8 55 225 979 75.7 327.1 5 15 55 18.8 A = 15 55 225 C = 75.7 X = 55 225 979 327.1 f(x) = 0.22+0.00143x+.3214*x^2 0.5 1 1.5 2 2.5 3 3.5 4 4.5 0 1 2 3 4 5 6 7 8 9 Regresión polinomial 2o orden x y f(x)=0.22+0.0014x+0.3214x ^2 r=0.997

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Page 1: polinom

EJEMPLO AJUSTE DE CURVAS - REGRESION POLINOMIAL

x y x^2 x^3 x^4 xy x^2y f(x)1 0.5 1 1 1 0.5 0.5 0.542 1.5 4 8 16 3 6 1.513 3.4 9 27 81 10.2 30.6 3.124 5 16 64 256 20 80 5.375 8.4 25 125 625 42 210 8.26

15 18.8 55 225 979 75.7 327.1

5 15 55 18.8 0.220000A = 15 55 225 C = 75.7 X = 0.001429

55 225 979 327.1 0.321429

f(x) = 0.22+0.00143x+.3214*x^2

0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.50

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Regresión polinomial 2o orden

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f(x)=0.22+0.0014x+0.3214x^2

r=0.997

Page 2: polinom

(y-f(x))^2 (y-yprom)^20.00 10.62760.00 5.10760.08 0.12960.14 1.53760.02 21.52960.24 38.932

r^2 = 0.993923r = 0.996957

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Regresión polinomial 2o orden

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f(x)=0.22+0.0014x+0.3214x^2