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| 1 | +#Programa de minimos cuadrados(Metodos Numericos |
| 2 | +import math |
| 3 | +#Se ingresa la cantidad de pares ordenados(x,y) |
| 4 | +print(f"Metodo de minimos cuadrados,para aproximar una recta\nde la forma y = mx+b") |
| 5 | +print("\n\n") |
| 6 | +def Min(n): |
| 7 | + puntosX=[] |
| 8 | + puntosY=[] |
| 9 | + sx=0 |
| 10 | + sy=0; |
| 11 | + sxy=0 |
| 12 | + sxx=0 |
| 13 | + syy=0 |
| 14 | + r=0 |
| 15 | + m=0 |
| 16 | + b=0 |
| 17 | + for i in range(n): |
| 18 | + |
| 19 | + EntradaX = float(input(f"Ingresar el valor de x{i}: ")) |
| 20 | + |
| 21 | + puntosX.append(EntradaX) |
| 22 | + sx+=EntradaX |
| 23 | + sxx+=math.pow(EntradaX,2) |
| 24 | + EntradaY = float(input(f"Ingresar el valor de y{i}: ")) |
| 25 | + puntosY.append(EntradaY) |
| 26 | + sy+=EntradaY |
| 27 | + syy+=math.pow(EntradaY,2) |
| 28 | + sxy+=(EntradaX*EntradaY) |
| 29 | + r=(n*sxy-sx*sy)/((math.sqrt(n*sxx-sx*sx))*(math.sqrt(n*syy-sy*sy))) |
| 30 | + m=(n*sxy-sx*sy)/(n*sxx-sx*sx) |
| 31 | + b=(sy*sxx-sx*sxy)/(n*sxx-sx*sx) |
| 32 | + imprime(r,m,b,puntosX,puntosY) |
| 33 | + puntosX.clear() |
| 34 | + puntosY.clear() |
| 35 | + |
| 36 | +def imprime(r,m,b,puntosX,puntosY): |
| 37 | + print("\n\n") |
| 38 | + print("{:<10} {:<10} {:<10}".format('r','m','b',)) |
| 39 | + print("{:<10} {:<10} {:<10}".format(r,m,b)) |
| 40 | + print(f"ecuacion de la recta\n") |
| 41 | + print(f"y={m}x+{b}") |
| 42 | + print("\n") |
| 43 | + print("{:<10} {:<10} {:<10} {:<10} {:<10} {:<10}".format('i','X','Y','X^2','Y^2','X*Y')) |
| 44 | + for i in range(n): |
| 45 | + imprimirX=puntosX[i] |
| 46 | + imprimirY=puntosY[i] |
| 47 | + print("{:<10} {:<10} {:<10} {:<10} {:<10} {:<10}".format(i,imprimirX,imprimirY,math.pow(imprimirX,2),math.pow(imprimirY,2),imprimirY*imprimirX)) |
| 48 | + |
| 49 | + |
| 50 | + |
| 51 | +n = int(input("ingresar datos: ")) |
| 52 | +Min(n) |
| 53 | +r=input("desea ingresar otra iteracion: ") |
| 54 | +while r!='n' or r=='N': |
| 55 | + n = int(input("ingresar datos: ")) |
| 56 | + |
| 57 | + Min(n) |
| 58 | + |
| 59 | + r=input("desea ingresar otra iteracion: ") |
| 60 | + |
| 61 | + |
| 62 | + |
| 63 | + |
| 64 | + |
| 65 | + |
| 66 | + |
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