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Regresión LinealRegresión Lineal>> x=[0 2 4 6 9 11 12 15 17 19];>> y=[5 6 7 6 9 8 7 10 12 12];>> xy=x.*y;>> xx=x.*x;>> a1=(10*sum(xy)-sum(x)*sum(y))/(10*sum(xx)-(sum(x)^2))
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Regresión Lineal
>> x=[0 2 4 6 9 11 12 15 17 19];>> y=[5 6 7 6 9 8 7 10 12 12];>> xy=x.*y;>> xx=x.*x;>> a1=(10*sum(xy)-sum(x)*sum(y))/(10*sum(xx)-(sum(x)^2))
a1 =
0.3525
>> a0=mean(y)-a1*mean(x)
a0 =
4.8515
% y = 4.8515 + 0.3525x
Sumatorias de Error
>> Sr = y - a0 - a1*x;>> SrSr = Sr.*Sr;>> SSR= sum(SrSr)
SSR =
9.0740
Desviación Estandar
>> Syx= sqrt(SSR/(10-2))
Syx =
1.0650
IntegralesTrapecio simple
a = 0.0b= 0.8
I = (f(a) + f(b))/2*(b-a)
print Iprint (1.640533 - I)/1.640533*100;"%"
function f(x)f = 0.2 + 25*x - 200*x^2 + 675*x^3 - 900*x^4 + 400*x^5end function
trapecio multiple
REM ejemplo 21.1 pag 624 cap 21 chapra
a = 0.0b= 0.8
x0 = ax1 = 0.4x2 = bn= 2
I = (b-a)*(f(x0) + 2*f(x1) + f(x2))/(2*n) 'formula trapecio multipleprint Iprint (1.640533 - I)/1.640533*100;"%"
function f(x)f = 0.2 + 25*x - 200*x^2 + 675*x^3 - 900*x^4 + 400*x^5end function
REM ejemplo 21.1 pag 624 cap 21 chapra
a = 0.0b= 0.8
x0 = ax1 = 0.266x2 = 0.53x3 = bn= 3
I = (b-a)*(f(x0) + 2*(f(x1)+f(x2)) + f(x3))/(2*n) 'formula trapecio múltipleprint Iprint (1.640533 - I)/1.640533*100;"%"
function f(x)f = 0.2 + 25*x - 200*x^2 + 675*x^3 - 900*x^4 + 400*x^5end function