#include<stdio.h>
#include<math.h>
void main()
{
float x[100],y[100],xy[100],xsquare[100],m,sumx,sumy,sumxy,sumxsq,a,b;
int i,j,k;
sumx=sumy=sumxy=sumxsq=0;
printf("\n\t\t\tLeast Square Method To Fit A Staright Line");
printf("\n=========================================================================================================================\n");
printf("\t\t\tEnter the value of m(number of terms) ");
scanf("%f",&m);
printf("\n=========================================================================================================================\n");
printf("\t\t\tEnter all the value of X \n");
for(i=0;i<m;i++)
{
printf("\tx[%d]=",i);
scanf("%f",&x[i]);
xsquare[i]=x[i]*x[i];//xsquare being calculated here
sumx=sumx+x[i];//summation of x
sumxsq=sumxsq+xsquare[i];//summation of x square calculated
}
printf("\n=========================================================================================================================\n");
printf("\t\t\tEnter all the value of Y \n");
for(i=0;i<m;i++)
{
printf("\ty[%d]=",i);
scanf("%f",&y[i]);
xy[i]=x[i]*y[i];//x*y being calculated
sumy=sumy+y[i];// summation of Y calculated
sumxy=sumxy+xy[i];//summation of XY calculated
}
a=((sumy*sumxsq)-(sumx*sumxy))/((m*sumxsq)-(sumx*sumx));
b=((m*sumxy)-(sumx*sumy))/((m*sumxsq)-(sumx*sumx));
printf("\n=========================================================================================================================\n\n");
printf("\t\t\tValue of a=%4.3f\tvalue of b=%4.3f\n",a,b);
printf("\n\t\t\tThus equation will be y=%4.3f + %4.3fx\n\n",a,b);
getchar();
}
Tuesday, 15 November 2011
Straight Line Fit Using Least Squares Estimate
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