Mr. Saksunn is concerned both about his students’ scores on the last math test, and about the number of students looking tired in class. He decides to see if there is a relationship between the number of tired or sleepy behaviors (yawns, nodding-off, head on desk) a student exhibits and their test score. He has his assistant observe $10$ students and count the number of tired behaviors during one week of class.

1. Make a scatterplot on graph paper and draw the line of best fit. Determine the equation of the line of best fit.

   Hint (a):

   Place the Tired Behaviors on the $x$-axis and Test Score on the $y$-axis for your scatterplot.

   Answer (a):

   The test score is $y$. The number of tired behaviors is $x$.

2. Using your equation from part (a), predict the test score of a student who exhibits $5$ tired behaviors during Professor Saksunn’s math class in a week.

   Answer (b):

   Substituting $5$ in for $x$ results in $y\approx61$.