The following exercises are based on the following sample data consisting of numbers of enrolled students (in thousands) and numbers of burglaries for randomly selected large colleges in a recent year...

The following exercises are based on the following sample data consisting of numbers of enrolled students (in thousands) and numbers of burglaries for randomly selected large colleges in a recent year (based on data from the New York Times).

Explained Variation Given that the linear correlation coefficient r is found to be 0.499, what is the proportion of the variation in numbers of burglaries that is explained by the linear relationship between enrollment and number of burglaries?