A statistician is doing a study concerning a group of students. On average, these students read fiction for 8 hours per month, with an SD of 2.5 hours, and they play video games for an average of 15 hours per month, with an SD of 5 hours. There is a slight negative association between reading fiction and playing video games, and the statistician calculates that the regression line for predicting video game time from fiction reading time has the form

Predicted hours playing video games =

-0.15 x Number of hours reading fiction + ____________

Unfortunately, the statistician forgot the intercept of the equation and also lost all the data except for the summary statistics above. Can you calculate the intercept for them? (Fill in the blank above and show your work below.)