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[ÇóÖú] Çë½Ì¹ØÓÚÇómatlab×ÔÄ£ÐͻعéϵÊýÎÊÌâ

Ä£Ð͹«Ê½Îª£ºY=exp(a+b*T)*(u^(c+d*T))*(e^n)
ʽÖУºa,b,c,d,nÊǻعéϵÊý£¬T,u,eΪ±äÁ¿¡£
ÓÐ12×éÊý¾ÝÈçÏ£º
T=[1.1712   1.1674   1.1622   1.1555   1.1462   1.1327   1.1121   1.0818   1.0400   0.9925   0.9466   0.8730]
u=[1.7888   2.5755   3.0193   3.4345   4.0454   4.8658   6.0155   7.2721   12.3627   13.1747    12.9871   16.4099]
e=[0.0924   0.1682   0.1931   0.2048   0.2288   0.2595   0.3001   0.3216   0.3228   0.2719   0.2076   0.2624]
Y=[46.4454   56.6047   63.1406   71.2812   76.8083   77.6233
      85.2938   89.5868   97.8382   119.4923   164.4006   138.2883]
³ÌÐòÔõôд°¡£¿±¾ÈËÂÛÎÄÒªÓõ½Õâ¸ö£¬¿ÉÊÇ֮ǰһµãû½Ó´¥¹ý£¬ÍøÉÏÕÒÁ˰ëÌìҲûÕÒµ½¸öÏñÑùµÄÀý×Ó³ÌÐò£¬Çó´óÉñ°ï°ïæ°¡£¡°ÝлÁË¡£¡£¡£×îºÃ°ÑÄÜÔËÐеijÌÐòºÍ½á¹ûд³öÀ´£¬ÎÒÔٺúÃѧϰһÏ¡£Ð»£¡
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gangbs

гæ (СÓÐÃûÆø)

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½«Ô­·½³ÌÁ½±ßÈ¡¶ÔÊý£¬ÔòµÃµ½£º(a+n)+b*T+c*lnu+d*Tlnu=lnY, ºÜÃ÷ÏÔÕâÊÇÒ»¸öÏßÐԻعéµÄÎÊÌ⣬ÕâÀàÎÊÌâ¿ÉÖ±½Ó¸ù¾Ý¹«Ê½m=inv(x'*x)*x'*YÀ´Çó½â£¨mΪËùÒª»Ø¹éµÄ²ÎÊý£¬invÊÇÇóÄæ·ûºÅ£¬xΪ×Ô±äÁ¿£¬YΪӦ±äÁ¿£©¡£´úÂëÈçÏ£º
>> T=[1.1712 1.1674 1.1622 1.1555 1.1462 1.1327 1.1121 1.0818 1.0400 0.9925 0.9466 0.8730]';
>> u=[1.7888 2.5755 3.0193 3.4345 4.0454 4.8658 6.0155 7.2721 12.3627 13.1747 12.9871 16.4099]';
>> e=[0.0924 0.1682 0.1931 0.2048 0.2288 0.2595 0.3001 0.3216 0.3228 0.2719 0.2076 0.2624]';
>> Y=[46.4454 56.6047 63.1406 71.2812 76.8083 77.6233 85.2938 89.5868 97.8382 119.4923 164.4006 138.2883]';
>> x1=ones(12,1);
>> x2=T;
>> x3=log(u);
>> x4=T.*log(u);
>> y=log(Y);
>> x=[x1 x2 x3 x4];
>> m=inv(x'*x)*x'*y
m =

   20.4742
  -14.1477
   -4.7000
    4.0931
ÕâÀïm(1)=a+n; m(2)=b; m(3)=c; m(4)=d¡£
2Â¥2012-07-09 21:40:53
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

gangbs

гæ (СÓÐÃûÆø)

¡¾´ð°¸¡¿Ó¦Öú»ØÌû

ÉÏÃæ³öÏÖÁËÒ»¸öС´íÎó£¬ÎÒÎó½«ÄãÎÊÌâÖеÄeµ±×öÁË×ÔÈ»¶ÔÊýµ×ÖеÄe, µ«½âÌâµÄÕûÌå˼·ÊÇÕýÈ·µÄ¡£ÏÖΪÁ˲»ÒýÆð»ìÏý£¬½«Ô­ÎÊÌâÖеÄeÓÃh±íʾ£¬ÔòÓÐÈçÏ´úÂ룺
T=[1.1712 1.1674 1.1622 1.1555 1.1462 1.1327 1.1121 1.0818 1.0400 0.9925 0.9466 0.8730]';

u=[1.7888 2.5755 3.0193 3.4345 4.0454 4.8658 6.0155 7.2721 12.3627 13.1747 12.9871 16.4099]';
h=[0.0924 0.1682 0.1931 0.2048 0.2288 0.2595 0.3001 0.3216 0.3228 0.2719 0.2076 0.2624]';

Y=[46.4454 56.6047 63.1406 71.2812 76.8083 77.6233 85.2938 89.5868 97.8382 119.4923 164.4006 138.2883]';
x1=ones(12,1);
x2=T;
x3=log(u);
x4=T.*log(u);
x5=log(h);
y=log(Y);
x=[x1 x2 x3 x4 x5];
m=inv(x'*x)*x'*y;
a=m(1)
b=m(2)
c=m(3)
d=m(4)
n=m(5)

a =

   20.2497


b =

  -14.0291


c =

   -4.6856


d =

    4.1061


n =

   -0.0315
3Â¥2012-07-09 22:08:23
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