Answer :
The correlation coefficient for the linear regression of the enrollment data is; 0.996.
Correlation coefficients serve the purpose of measuring how strong a relationship is between two variables.
From the given values of x and y, we can tell that there is a very strong positive linear correlation between the x–values which are the years since 2000 and the y–values which are student's enrollment.
Now, in the year 2013, we see that there is another added data point which is the enrollment of 2250 students. Thus, we can get the new statistics from the regression equation:
y = 85.468x + 985.029
Thus the correlation is
r = 0.988
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