AJUSTE DE DATOS

Quillas Flores Jhonatan

AJUSTE LINEAL: a+bxx=[1:1:10]'; -->y=[17.1,38.1,66.9,101,137,175,213,250,284,317]'; -->[x,y] ans = 1. 17.1 2. 38.1 3. 66.9 4. 101. 5. 137. 6. 175. 7. 213. 8. 250. 9. 284. 10. 317.

CÓDIGO : a + bxfunction [Q, R]=factorQR(A)

[m,n]=size(A);

P =eye(m,m);

R =A;

for i=1:n A1 = R(i:m,i);

r11 =-sign(A1(1))*norm(A1);

v =A1-r11*eye(m-i+1,1);

v =v./norm(v);

P1 =eye(m,m);

P1(i:m,i:m)=eye(m-i+1,m-i+1)-2*v*v';

R=P1*R;

P=P1*P;

end

Q=P';

endfunction

-->A=[ones(x),x];

-->[Q,R]=factorQR(A);

-->m =(R'*R)\(A'*y);

-->y2=m(1)+m(2)*x;

-->plot(x,y2,x,y,'*');

Gráfica: a+bx

ECUACIÓN DE AJUSTE: a+bx• y2=m(1)+m(2)*x

-->m(1)

ans =

- 30.42

-->m(2)

ans =

34.605455

• y2=m(1)+m(2)*x

y2=-30.42+34.605*x

y=a+bxEcuación de ajuste

lineal

Y=-30.42+34.605455X

AJUSTE CUADRÁTICO:a+bx+cX2

--> x=[1:1:10]';

-->y=[17.1,38.1,66.9,101,137,175,213,250,284,317]';

-->[x,y] ans = 1. 17.1 2. 38.1 3. 66.9 4. 101. 5. 137. 6. 175. 7. 213. 8. 250. 9. 284. 10. 317.

CÓDIGO: a+bx+cX2

function [Q, R]=factorQR(A)

[m,n]=size(A);

P =eye(m,m);

R =A;

for i=1:n A1 = R(i:m,i);

r11 =-sign(A1(1))*norm(A1);

v =A1-r11*eye(m-i+1,1);

v =v./norm(v);

P1 =eye(m,m);

P1(i:m,i:m)=eye(m-i+1,m-i+1)-2*v*v';

R=P1*R;

P=P1*P;

end Q=P';

endfunction

-->A=[ones(x),x];

-->[Q,R]=factorQR(A);

-->m =(R'*R)\(A'*y);

-->y2=m(1)+m(2)*x;

-->plot(x,y2,x,y,'*');

GRÁFICA:a+bx+cX2

ECUACIÓN DE AJUSTE: a+bx+cX2

y3= p(1)+ p(2)*x + p(3)* x.^2

-->p(1)

ans =

- 18.595

-->p(2)

ans =

28.692955

-->p(3)

ans =

0.5375

Y3= p(1)+ p(2)*x + p(3)* x.^2

y3= -18.595+ 28.692955*x + 0.5375 x.^2

Y =a+bx+cX2

Ecuación de ajuste cuadrático:

Y=-18.5995+28.692955x+0.53.75X2

AJUSTE :a+bx+cX2e^(x/10)

--> x=[1:1:10]';

-->y=[17.1,38.1,66.9,101,137,175,213,250,284,317]';

-->[x,y] ans = 1. 17.1 2. 38.1 3. 66.9 4. 101. 5. 137. 6. 175. 7. 213. 8. 250. 9. 284. 10. 317.

CÓDIGO : a+bx+cX2e (x/10)

function [Q, R]=factorQR(A)

[m,n]=size(A);

P =eye(m,m);

R =A;

for i=1:n A1 = R(i:m,i);

r11 =-sign(A1(1))*norm(A1);

v =A1-r11*eye(m-i+1,1);

v =v./norm(v);

P1 =eye(m,m);

P1(i:m,i:m)=eye(m-i+1,m-i+1)-2*v*v';

R=P1*R;

P=P1*P;

end Q=P';

endfunction

-->A= [ones(x),x,x.^2 .*exp(x./10)];

-->[Q,R]= factorQR(A);

-->s= (R'*R)\(A'*y);

-->y4= s(1)+ s(2)*x + s(3)* x.^2 .*exp(x./10);

-->plot(x,y4,x,y,'*');

GRÁFICA: a+bx+cX2e (x/10)

ECUACIÓN: a+bx+cX2e^(x/10)

y4= s(1)+ s(2)*x + s(3)* x.^2 .*exp(x./10);

-->s(1)

ans =

- 23.061734

-->s(2)

ans =

31.633059

-->s(3)

ans =

0.1044139

• y4= -23.061734+31.633059x +0.1044139*x.^2 .*exp(x./10)

Y=a+bx+cX2e^(x/10)

ECUACIÓN DEL AJUSTE DE DATOS:

• Y= -23.061734 + 31.633059x + 0.1044139X2 e(x/10)