input: Write a function to design a Python program for performing linear regression to predict the numbers in a given dataset X and corresponding target values Y. Return the predicted value for a new input.
  assert predict_linear_regression([1, 2, 3, 4, 5], [3, 5, 7, 9, 13], 7) == [15.]
output: def predict_linear_regression(X, Y, new_input):
      n = len(X)
      sum_x = sum(X)
      sum_y = sum(Y)
      sum_xy = sum(x * y for x, y in zip(X, Y))
      sum_x2 = sum(x ** 2 for x in X)
      
      m = (n * sum_xy - sum_x * sum_y) / (n * sum_x2 - sum_x ** 2)
      b = (sum_y - m * sum_x) / n
      
      return [m * new_input + b]