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Método para calcular los mínimos cuadrados
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import math | |
class LeastSquares(object): | |
"""docstring for LeastSquares""" | |
def __init__(self, x:list, y:list): | |
super(LeastSquares, self).__init__() | |
if len(x) != len(y): | |
raise NameError('Las listas deben tener misma longitud.') | |
self.__x = x | |
self.__y = y | |
self.__periodic_list = [] | |
self.__n = len(self.__x) | |
self.set_periodic_list() | |
def get_sum_x(self): | |
return sum(self.__x) | |
def get_sum_y(self): | |
return sum(self.__y) | |
def get_x_average(self): | |
return math.ceil(self.get_sum_x() / len(self.__x)) | |
def get_y_average(self): | |
return math.ceil(self.get_sum_y() / len(self.__y)) | |
def get_sum_x_pow(self): | |
auxiliar_list = [] | |
count = 0 | |
for day in self.__x: | |
auxiliar_list.append(self.__x[count]**2) | |
count += 1 | |
return sum(auxiliar_list) | |
def get_sum_y_pow(self): | |
auxiliar_list = [] | |
count = 0 | |
for element in self.__y: | |
auxiliar_list.append(self.__y[count]**2) | |
count += 1 | |
return sum(auxiliar_list) | |
def get_sum_x_y_prod(self): | |
count = 0 | |
auxiliar_list = [] | |
for item in self.__x: | |
auxiliar_list.append(self.__x[count]*self.__y[count]) | |
count += 1 | |
return sum(auxiliar_list) | |
def set_periodic_list(self): | |
difference_list = [] | |
count = 0 | |
is_periodic = True | |
for _ in self.__x: | |
if count != 0: | |
difference_list.append(self.__x[count] - self.__x[count - 1]) | |
count += 1 | |
count = 0 | |
for item in difference_list: | |
if count != 0: | |
if difference_list[count] != difference_list[count-1]: | |
is_periodic = False | |
break | |
count += 1 | |
if is_periodic: | |
count = 0 | |
periodic_value = difference_list[0] | |
for _ in self.__x: | |
self.__periodic_list.append(self.__x[len(self.__x) - 1] + periodic_value * (count + 1)) | |
count += 1 | |
else: | |
raise NameError('Tu lista de Periodo no es continua') | |
def get_A(self): | |
return math.ceil(self.get_y_average() - self.get_B() * self.get_x_average()) | |
def get_B(self): | |
return math.ceil((self.get_sum_x_y_prod() - (self.get_sum_x() * self.get_sum_y() / self.__n) ) / (self.get_sum_x_pow() - (self.get_sum_x() ** 2) / self.__n )) | |
def get_forecast(self): | |
forecast_list = [] | |
count = 0 | |
for item in self.__x: | |
forecast_list.append(self.get_A() + self.get_B() * self.__periodic_list[count]) | |
count += 1 | |
return forecast_list | |
def main(): | |
lista_x = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12] | |
lista_y = [90, 106, 152, 244, 302, 274, 162, 194, 312, 359, 215, 126] | |
xd = LeastSquares(lista_x, lista_y) | |
print('Suma de x:\t\t', xd.get_sum_x()) | |
print('Suma de y:\t\t', xd.get_sum_y()) | |
print('Suma de x al cuadrado:\t', xd.get_sum_x_pow()) | |
print('Promedio de x:\t\t', xd.get_x_average()) | |
print('Promedio de y:\t\t', xd.get_y_average()) | |
print('Suma de y al cuadrado:\t', xd.get_sum_y_pow()) | |
print('Suma del producto del X y Y:\t', xd.get_sum_x_y_prod()) | |
print('*'*50) | |
print('A:\t\t', xd.get_A()) | |
print('B:\t\t', xd.get_B()) | |
print('Pronostico:\t', xd.get_forecast()) | |
if __name__ == '__main__': | |
main() |
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