Prediction Intervals: Videos & Practice Problems

A study finds the regression equation for predicting the weight ($y$, in units of kg) of a fish from its length ($x$, in units of cm) is $\hat{y}=0.8+0.05x$. The data set has $n=18$, a mean length $\bar{x}=35$, $\sum (x_i-\bar{x}{)}^2=210$, and standard error of estimate $s=0.9$. Construct a $99\%$ prediction interval for a fish of length $x_0=40$ cm.