We will have the following:
Using the data provided and applying linear regression we will have that the lines of best fit will be:
[tex]y=2.6666666667x+37.71428571[/tex]
Now, that is using 1984 as the starting point (0 years) now, we determine the value at 2010 (26 years after):
[tex]y=2.6666666667(26)+37.71428571\Rightarrow y=107.047619[/tex][tex]y\approx107[/tex]
So, the prediction using the best fit would be approximately 107 students enrolled in 2010.
