Linear Regression & Least Squares Method: Videos & Practice Problems

A study uses the regression equation $\hat{y}=120-2x$ to predict the number of defective items based on the number of hours worked, where $x$ is the number of hours. The standard error of the estimate is $s_e=8$, the sample size is $n=16$, the mean number of hours is $\bar{x}=10$, and $\sum (x_i-\bar{x}{)}^2=200$. What is the $95\%$ prediction interval for the number of defective items when $x=12$?