#include <iostream>
#include <math.h>
using namespace std;
class LeastSquare
{
public:
LeastSquare()
{
Ex = Ey = Exy = Exx = 0;
}
void askN();
void askX();
void askY();
void findXY();
void findXX();
void findA();
void findB();
void solve();
private:
double a, b , x[10],y[10],xy[10],xx[10];
int num;
double Ex,Ey,Exy,Exx;
};
void LeastSquare::askN()
{
cout << "Enter the no of values: ";
cin >> num ;
}
void LeastSquare::askX()
{
cout << "Enter the values of X[] : \n";
for(int i = 0 ; i <num;i++)
{
cout << "X[" << i << "]: ";
cin >>x[i];
Ex += x[i];
}
}
void LeastSquare::askY()
{
cout << "Enter the values of Y[] : \n";
for(int i = 0 ; i <num;i++)
{
cout << "Y[" << i << "]: ";
cin >>y[i];
Ey += y[i];
}
}
void LeastSquare::findXY()
{
for(int i = 0; i < num; i++)
{
xy[i] = x[i] * y[i];
Exy += xy[i];
}
}
void LeastSquare::findXX()
{
for(int i = 0; i < num; i++)
{
xx[i] = x[i] * x[i];
Exx += xx[i];
}
}
void LeastSquare::findA()
{
a = Ey/num - b * Ex / num;
}
void LeastSquare::findB()
{
b = (num * Exy - Ex * Ey) / (num * Exx - pow(Ex,2.0));
}
void LeastSquare::solve()
{
askN();
askX();
askY();
findXX();
findXY();
findB();
findA();
cout <<endl << "The Required eqn of straight line is: ";
cout << endl << "y = " << a << " + " << b << "x";
}
int main()
{
LeastSquare l;
l.solve();
return 0;
}
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Home » Least Square Method
Least Square Method
This is the solution for Least Square Method
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