input: from typing import List
  
  
  def perform_linear_regression(X: List[float], Y: List[float]) -> None:
      """ Design a Python program to perform linear regression for predicting the numbers in a given dataset.
      >>> perform_linear_regression([1,2,3,4,5], [3,5,7,9,13])
      [17.0]
      """
output:     n = len(X)
      sum_x = sum(X)
      sum_y = sum(Y)
      sum_xy = sum(x * y for x, y in zip(X, Y))
      sum_x_squared = sum(x ** 2 for x in X)
      
      m = (n * sum_xy - sum_x * sum_y) / (n * sum_x_squared - sum_x ** 2)
      b = (sum_y - m * sum_x) / n
      
      predicted_y = m * 6 + b
      print([predicted_y])