  ### Home > GB8I > Chapter 3 Unit 4 > Lesson INT1: 3.1.1 > Problem3-12

3-12.

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.

 Tired Behaviors $2$ $4$ $0$ $2$ $1$ $7$ $0$ $1$ $3$ $6$ Test Score $73$ $63$ $89$ $85$ $90$ $58$ $97$ $90$ $79$ $41$
1. Make a scatterplot on graph paper and draw the line of best fit. Determine the equation of the line of best fit.

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

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.

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