Homework 4

Due: Feb 19

Submit your code on OWL

Matplotlib exercises

  1. Define a 1D array x containing 10 values starting at 0, ending at 0.9, in increments of 0.1. Define a vector y that is equal to np.sin(2 * np.pi * x). Generate a line plot with x on the horizontal axis and y on the vertical axis. Use blue circles at each data point (markersize of 8.0), connected by blue solid lines, with a linewidth of 2.0. Label the horizontal axis x and the vertical axis y. Set the range on the horizontal axis so it goes from 0 to 0.9 in steps of 0.1, and on the vertical axis so it goes from -1 to 1 in steps of 0.2.

  2. Define 1D arrays y1 equal to [1,2,3,4,4], y2 equal to [1,5,6,8,10], and y3 equal to [5,4,2,1,1]. Generate a multi-line plot using squares (markersize 6.0) connected with solid lines (linewidth 1.0). Label the axes as shown, and set axis limits and axis ticks as shown. Add a legend as shown. The y1 colour is blue, the y2 colour is red, and the y3 colour is magenta.

  3. Define a 100-length 1D array x starting at 1 and ending at 100 in increments of 1. Define y equal to (x * 0.15) + N where N is a 100 element 1D array of random values chosen from a gaussian distribution with mean 0.0 and standard deviation 0.5. Let z be equal to ((x * 0.05) + 2) + N2 where N2 is a 100 element 1D array of random values chosen from a gaussian distribution with mean 0.0 and standard deviation 2.0. Generate a scatterplot as shown below, using filled circles (markersize 3.0). The y colour is blue and the z colour is red. Pay attention to the axis labels, tick marks, and ranges. At the beginning of your answer set the random seed (once) to be equal to 9040 so that we all get the same random values, using np.random.seed(9040).

  4. Re-plot the data from Question 3 using subplots, as shown below. Try to replicate the axis limits, and axis labeling. Use boldface font to add a title to each subplot (A, B, and C, aligned to the left of each subplot as shown below).

    Hint: adjust the hspace parameter for subplots so that the subplots don’t overlap, e.g. plt.subplots_adjust(hspace=0.6).
    Hint: ax.spines["top"].set_visible(False) will turn off the top part of the box outlining each plot.

Do your best to replicate all of the elements of the Figure. If you can’t replicate every little part of it don’t worry, but challenge yourself to try to get as close as you can. I will post a sample solution after the deadline.