Linear Curve Fitting
Source Code:
///Curve fitting of a straight line of the form y = a + bx
#include< stdio.h>
#include< math.h>
int main(){
int ax[20], ay[20], i, n;
int sum_x = 0, sum_xy = 0, sum_x2 = 0, sum_y = 0 ;
float a , b;
printf("Enter no of records: ");
scanf("%d", &n);
printf("Enter Data: ");
printf("\nX Y\n");
for(i = 0; i < n; i++){
scanf("%d%d", &ax[i], &ay[i]);
}
for(i = 0; i < n; i++){
sum_x += ax[i];
sum_y += ay[i];
sum_xy += ax[i] * ay[i];
sum_x2 += pow(ax[i], 2);
}
b = (n*sum_xy - sum_x*sum_y)/(n*sum_x2 - pow(sum_x,2));
a = (sum_y - b*sum_x)/n;
printf("\na = %.3f b = %.3f", a, b);
printf("\nThe Equation is %.3f + %.3fX\n\n", a, b);
return 0;
}