As a student who has recently taken CS $357,$ Paul is eager to put his knowledge learned in the class to use in real$-$world applications. He notices the weather forcast in Champaign$-$Urbana area is not very accurate and is determined to make it better.

After a summer of hard work, he has finished implementing his new software for predicting wind speed. Eager to test how well his software performs, he uses it to predict the wind speed for the next

days and then collects the actual wind data during these

days. He stores both his predicted data and the actual data in NumPy arrays.

To understand how well Paul's software performs, write a program to compute the maximum relative error of his prediction across these

days. HINT: Consider using numpy.ndarray.max to compute the maximum value element in an array.

The setup code gives the following variables:

Name Type Description

n int The number of days

predicted numpy.ndarray Array of length

representing the predicted wind speed for these

days

actual numpy.ndarray Array of length

representing the actual wind speed for these

days

Your code snippet should define the following variables:

Name Type Description

max$\_$rel$\_$error float The maximum relative error of Paul's prediction across these

days