The experiment generates a random point \((X, Y)\) from a uniform distribution on a region of the plane. Any of the following regions can be selected with the list box:

The square \(-6 \le x \le 6\), \(-6 \le y \le 6\)

The triangle \(-6 \le y \le x \le 6\)

The circle \(x^2 + y^2 \le 36\)

The random point is shown has a red dot in the scatterplot, and the coordinates are recorded on each update. The scatterplot also shows the distribution regression line
in blue and the empirical regression line in red. The probability density functions and moments are shown in blue in the distribution graphs and are recorded in the distribution tables. On each update, the empirical density functions and moments are shown in red in the distribution graphs and are recorded in the distribution tables. The distribution and empirical covariance, correlation slope, and intercept are recorded in the bivariate table.