########################################################################### # Exercise 3 ########################################################################### # A list of numbers can be very unsmooth, meaning very high numbers # can be right next to very low numbers. This list may represent a smooth path # in reality that is masked with random noise # (for example, satellite trajectories with inaccurate transmission). # One way to smooth the values in the list is to replace each value with # the average of each value's neighbors, including the value itself. ###########################################################################

# Exercise 3A # * Write a function moving_window_average(x, n_neighbors) that takes a list x # and the number of neighbors n_neighbors on either side of a given member # of the list to consider. # * For each value in x, moving_window_average(x, n_neighbors) computes the average # of that value's neighbors, where neighbors includes the value itself. # * moving_window_average should return a list of averaged values that is the same # length as the original list. # * If there are not enough neighbors (for cases near the edge), # substitute the original value as many times as there are missing neighbors. # * Use your function to find the moving window sum of x=[0,10,5,3,1,5] # and n_neighbors=1.culate. import random

random.seed(1)

def moving_window_average(x, n_neighbors=1): n = len(x) width = n_neighbors*2 + 1 x = [x[0]]*n_neighbors + x + [x[-1]]*n_neighbors # To complete the function, # return a list of the mean of values from i to i+width for all values i from 0 to n-1

# more your code goes here! # Exercise 3B # * Compute and store R=1000 random values from the interval (0, 1) as x. # * Compute the moving window average for x for values of n_neighbors ranging from 1 to 9 inclusive. # * Store x as well as each of these averages as consecutive lists in a list called Y (letter is captal)

# write your code here!

# Exercise 3C # * For each list in Y, calculate and store the range (the maximum minus the minimum) # in a new list ranges. # * Print your answer. As the window width increases, # does the range of each list increase or decrease? Why do you think that is?

# write your code here!

use python for all part!