Linear Regression & Least Squares Method: Videos & Practice Problems

A statistics instructor predicts the final project grade based on the number of practice quizzes completed. For a class of $32$ students, the predicted grade for a student who completed $12$ quizzes is $88$. The standard error of estimate is $s=4.5$, the mean number of quizzes is $\bar{x}=10$, and $S_{xx}=80$. Construct a $95\%$ prediction interval for the project grade for a student who completed $12$ quizzes.