def generate_time_series_exponential_growth_data(n, x0=1.565, b=1.1194):
    """
    generate exponential growth SARS active case simulation data
    :param n: number of points
    :param x0: initial value of infected people
    :param b: growth rate
    :return: time series points to show exponential growth of active cases
    """
    data = []
    for i in range(n):
        if i == 0:
            y = x0
        else:
            y = x0 * b ** i
        data.append({
            'x': i,
            'y': int(y + 0.5)
        })

    return data