In Figure 10.1 three plots are displayed. For each plot we carried out a simulation in which we generated 500 realizations of a pair of random variables (X, Y ). We have chosen three different joint...

In Figure 10.1 three plots are displayed. For each plot we carried out a simulation in which we generated 500 realizations of a pair of random variables (X, Y ). We have chosen three different joint distributions of X and Y .

a. Indicate for each plot whether it corresponds to random variables X and Y that are positively correlated, negatively correlated, or uncorrelated.

b. Which plot corresponds to random variables X and Y for which |ρ(X, Y )| is maximal?