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Solve the following problem using Python, implementing the functions described below, one line at a time
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Description:
 def build_ellipse(X, Y):
 """Construct ellipse coordinates from two arrays of numbers. Args: X (1D array_like) Y (1D array_like) Returns: float: The mean of `X`. float: The mean of `Y`. float: The width of the ellipse. float: The height of the ellipse. float: The angle of orientation of the ellipse. """

    x_mean = np.mean(X)
    y_mean = np.mean(Y)

    cov_matrix = np.cov(np.vstack((X, Y)))
    U, s, V = linalg.svd(cov_matrix, full_matrices=False)

    chi_95 = np.sqrt(4.61)  # 90% quantile of the chi-square distribution
    width = np.sqrt(cov_matrix[0][0]) * chi_95 * 2
    height = np.sqrt(cov_matrix[1][1]) * chi_95 * 2

    eigenvector = V.T[0]
    angle = np.arctan(eigenvector[1] / eigenvector[0])

    return x_mean, y_mean, width, height, angle