Plotting (Need) Exercises

# | include: false
import numpy as np
import pandas as pd

np.random.seed(256852)

Exercise 1 (Fill in the blanks) Fill in the blanks(indicated with a ?), so the code below will produce the plot shown.

# Some data for plotting
x = [0, 1, 2, 3, 4, 5]
y = [0, 4, 8, 12, 16, 20]
y_err = [0.0, 0.5, 1.0, 1.5, 2.0, 2.5]
x_err = .25

plt.errorbar(x, y, 
             xerr=?, yerr=?,
             color=?, linestyle=?,
             marker=?, markerfacecolor=?,
             ecolor=?,capsize=5,
             label=?)
plt.xlabel('x-values')
plt.ylabel('y-values')
plt.title('X vs Y')
plt.grid(alpha=.25)
plt.legend(?)
plt.show()

Exercise 2 (A simple mathematical plot)  

1. Use NumPy to generate \(x\) and \(y\) data suitable for plotting the graph of the function: \[ y = e^{-x/10}\sin(x)\]

   for values of \(x\) in the range \(0\) to \(50\).

2. Customise your plot so that:

   1. The x and y axes have labels of fontsize of 15
   2. The x and y axes labels are in the color, darkorange.
   3. There is a grid with an opacity of 25%.
   4. Indicate the equation of the function in the title with a font size of 20.
      Hint: Look at Writing mathematical expressions in Matplotlib.
   5. Change the \(y\) limit (using ylim) to \([-1,1]\)

In the end, your plot should look like the one shown alongside.

Contributed by Darren Teo