A study was done regarding how the number of minutes given for a certain ten-point exam affected the resulting exam score. Forty students of similar academic profile were randomly selected and given the same exam. Each student was given a different time to complete the exam than any other student, and the sum of all the individual times given was 1200 minutes. The sum of all the exam scores was 300 points.

At least squares regression line fit to the data-set predicted that a student given exactly one minute to complete the exam would score exactly zero points. Properly rounding to the nearest tenth of a point, what score does this model predict for a student given exactly 24 minutes to complete the exam?

Answers with explanation please