Mandla found the equation of the regression line relating hours worked per week, \( x \), and the number of units, \( y \), community college students take per term to be: \( \hat{y}=18-0.2 x \) To estimate the number of units that a community college student who works 20 hours per week will take, we calculate: \( 18-0.2(20) \) Find this number.

To estimate the number of units a community college student who works 20 hours per week will take, we substitute \( x = 20 \) into the regression equation \( \hat{y} = 18 - 0.2x \): \[ \hat{y} = 18 - 0.2(20) = 18 - 4 = 14. \] So, a community college student who works 20 hours per week is estimated to take 14 units per term. Additionally, this regression line suggests that for every additional hour a student works, the number of units they take decreases by 0.2. It’s a useful tool for understanding the balance between work commitments and academic workload. Students can leverage this information for planning their schedules effectively!