The web page https://think.cs.vt.edu/corgis/csv/broadway/broadway.html provides an interesting dataset about Broadway shows.

I plot the time series plots on the graph blow about the Capacity(which is measured out of 100 percent) of the show “Jersey Boys” as a function of week numbers grouped by the year 2005-2016 with the smoothing.

What stands out in this plot is there is an apparent increasing trend at the year 2005 when the show released, and the decreasing trend since 2015 when the show were taken out of theater. Within our expectation, that show was hot from the year of 2006 to 2012 where the colors are closed to green.

Next I simulated a sample of size 200 from a bivariate normal distribution with correlation rho = -0.9 and use a bivariate density estimation algorithm to construct a contour graph of the density estimate.

And compared with the sample contour plot.

It not hard to find that the first graph better distinguishes the simulated data since it has a smaller amount of layers of colors within one theme from white to green whereas it becomes ambiguous to tell, especially for the light colors, in the second graph.