input: def predict_linear_regression(X: List[float], Y: List[float]) -> np.ndarray:
      """Performs linear regression on the given dataset to predict the output for a new input.
      >>> X = [1, 2, 3, 4, 5]
      >>> Y = [3, 5, 7, 9, 13]
      >>> predict_linear_regression(X, Y)
      array([15.])
      """
      X = np.array(X).reshape(-1, 1)
      Y = np.array(Y)
      
      model = LinearRegression()
      model.fit(X, Y)
      
      return model.predict([[7]])
output:     import numpy as np
      from sklearn.linear_model import LinearRegression