Aproximation(lab_12, VM)

#include <iostream>
#include <iomanip>
using namespace std;

void print(float* X, float* Y, int n);

int main()
{
    int n = 10;
    float sum_x = 0, sum_y = 0, sum_x2 = 0, sum_y2 = 0, d,k, b;

    float* X = new float[n];
    float* Y = new float[n];
    X[0] = 1;
    for (int i = 1; i < n; i++) X[i] = X[i - 1] + 0.1;
    for (int i = 0; i < n; i++) Y[i] = pow(X[i], 2);
    print(X, Y, n);


    for (int i = 0; i < n; i++)
    {
        sum_x += X[i];
        sum_y += Y[i];
        sum_x2 += pow(X[i], 2);
        sum_y2 += X[i] * Y[i];
    }
    d = sum_x2 * ((float)n) - pow(sum_x, 2);
    k = (sum_y2 * ((float)n) - sum_x * sum_y) / d;
    b = (sum_x2 * sum_y - sum_x * sum_y2) / d;

    cout << "\ny(x) = " << k << " * x + " << b;

    cout << "\nComparison:\n";
    for (int i = 0; i < n; i++)
    {
        cout << "Aprox y(x" << i << ") = " << k * X[i] + b << "\nTable y(x" << i << ") = " << Y[i] << "\nDifference = " << fabs(k * X[i] + b - Y[i]) << endl << endl;
    }
}


void print(float* X, float* Y, int n)
{
    cout << "Table:\nX|";
    for (int i = 0; i < n; i++)
    {
        cout << setw(10) << X[i];
    }
    cout << "\nY|";
    for (int i = 0; i < n; i++)
    {
        cout << setw(10) << Y[i];
    }
}