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Êǹ²Ïí²ÎÊýÀàµÄ×Ô¶¨Ò幫ʽģÄ⣬ĿµÄÊÇÇó5¸öϵÊý£¬y1-x1¶ÔÓ¦q0¹Ì¶¨ÏµÊý£¬y2-x2¶ÔÓ¦q1¹Ì¶¨ÏµÊý£¬ÒÀ´ÎÀàÍÆËĸöϵÊý¡£ÎÒÕâ¸ö´úÂëÊǿ϶¨²»ÐÐѽ- -£¬ÏëÒªÖªµÀÕâ¸öÄܲ»ÄÜÇó°ïæÐ޸쬲¢ÇÒ°ÑÕ⼸¸öÇúÏß»æÖƵ½Ò»ÕÅͼÉÏ£¬Ð»Ð»Ð»Ð»Ð»Ð»![]() clear clc data = [36.287 34.765 38.875 37.683 33.580 27.010 34.720 35.470 42.726 37.060 38.475 42.038 31.388 30.550 33.480 37.460 44.688 38.646 40.391 43.510 30.339 24.934 25.711 29.321 43.517 39.432 41.318 42.936 29.632 26.228 27.102 28.644 44.222 38.646 42.530 41.718 28.211 24.991 27.792 29.638 43.771 40.398 42.454 44.425 27.862 25.291 26.591 27.814] q0=0; q1=0.2; q2=0.35; q3=0.5; x1 = data(:,1); x2 = data(:,2); x3 = data(:,3); x4 = data(:,4); y1 = data(:,5); y2 = data(:,6); y3 = data(:,7); y4 = data(:,8); f = @(a,b,c,d,e)[a.*x1./(b*q0^3+c*q0^2+d*q0+e); a.*x2./(b*q1^3+c*q1^2+d*q1+e); a.*x3./(b*q2^3+c*q2^2+d*q2+e); a.*x4./(b*q3^3+c*q3^2+d*q3+e)] [X,RESNORM,RESIDUAL,EXITFLAG,OUTPUT,LAMBDA] = lsqcurvefit(f, [1 1 1 1 1 ], [x1;x2;x3;x4],[y1;y2;y3;y4],[0 0 0 0 0 0],[],[]) |
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Â¥Ö÷£¬ÄãÕâ¸öº¯ÊýºÃÏñ¾ÍÊǸöÏßÐÔ·½³Ì£¬f(x)=kx, ÕâÑùÄâºÏ½á¹û¿ÉÄܲ»Ì«ºÃ°¡¡£¶øÇÒ¾ÍËãÓÐ5¸ö²ÎÊýÐèÒªËÆºÏ£¬5¸öÒ²²»ÊÇÏ໥¶ÀÁ¢µÄ¡£ Äã¿´¿´ÏÂÃæµÄÕâ¸ö£ºÆäÖÐ k1=b/a,k2=c/a,k3=d/a,k4=e/a data = [36.287 34.765 38.875 37.683 33.580 27.010 34.720 35.470 42.726 37.060 38.475 42.038 31.388 30.550 33.480 37.460 44.688 38.646 40.391 43.510 30.339 24.934 25.711 29.321 43.517 39.432 41.318 42.936 29.632 26.228 27.102 28.644 44.222 38.646 42.530 41.718 28.211 24.991 27.792 29.638 43.771 40.398 42.454 44.425 27.862 25.291 26.591 27.814] q0=0; q1=0.2; q2=0.35; q3=0.5; q=[q0,q1,q2,q3] Q=[q.^3;q.^2;q;ones(1,4)] xdata=data(:,1:4) ydata=data(:,5:8) f = @(k,x) x./repmat([k(1),k(2),k(3),k(4)]*Q,6,1) k0=[1 1 1 1] k = lsqcurvefit(f,k0,xdata,ydata) f_fit=f(k,xdata) plot(xdata(:,1),ydata(:,1),'o',xdata(:,1),f_fit(:,1),... xdata(:,2),ydata(:,2),'*',xdata(:,2),f_fit(:,2),... xdata(:,3),ydata(:,3),'+',xdata(:,3),f_fit(:,3),... xdata(:,4),ydata(:,4),'x',xdata(:,4),f_fit(:,4)) |

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