Prepare 0 Head to and navigate to Resources > Understand (or follow the link). 0 Familiarize yourself with the data tc 1|, how to change the economic quantities, how to change the display, how to change countries. 0 Create a bubble chart with economic quantities E1 and .. on the x and on the yaxis. o Create a trend chart with economic quantity E1 (previously on the xaxis) no on the yaxis and time t on the xaxis. Analyze and pre 1t: Part A. 1. A bubble chart from gapminder with an explanation of the economic quantities on the x and the yaxis. Describe the observed relationship. (A good opportunity to showcase your mastery of terminology, e.g., increasing/decreasing/convex/concave.) 2. An empirical estimate of the rate of change of the observed relationship. To do that create a table that shows the x and yvalue for different points. Em pirically find the rise over run. Note: moving your mouse along the graphs and data points on gapminder shows you precise values on the x and y axis. 3. A function (linear, quadratic, logarithmic, exponential, square root, polynomial) that approximately looks like the graph shown in part A. (1), as well as a explanation on why this function captures the observed relationship. Make sure your function aligns with the functional values found in A2. Note: If the relationship is between log quantities, the function must also depend on the log quantities. Note: The function should have the same name as the economic quantity on the y axis. The independent variable should have the same name as the economic quantity on the x7 axis. For example, if you have pollution on the yraxis and income on the xiaxis, your function would be P 2 Pl: ' 4. The derivative of the formal function you wrote down in A3. In the example from A3, you would find the derivative of P with regard to I. 5. The evaluation of the derivative you found in A4 at the various points corresponding to entries in your table in A2. 6. A discussion of whether the formal derivative resembles or is similar to the empirical one. Note: Such a discussion should include aspects that are similar (and why and in what way), as well as aspects that are different (and why and in what way.)