Question: 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

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?

The above exercise is 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).

Given that the linear correlation coefficient r is found to be 0.499,

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