Now we define a function called sample_points for generating (x,y) pairs. It takes the parameter k as input, which implies the number of (x,y) pairs we want to sample:

def sample_points(k):
    
    num_points = 100
    
    #amplitude
    amplitude = np.random.uniform(low=0.1, high=5.0)
    
    #phase
    phase = np.random.uniform(low=0, high=np.pi)

    x = np.linspace(-5, 5, num_points)

    #y = a*sin(x+b)
    y = amplitude * np.sin(x + phase)
    
    #sample k data points
    sample = np.random.choice(np.arange(num_points), size=k)
    
    return (x[sample], y[sample])