If the standard deviation of the estimated values is s $=64\mathrm{.}8$

and after applying the auto$-$regressive correction obtained in Problem $15,$ we get the following forecast value for the $2$nd quarter next year:

vhat$$r$+2=471\mathrm{.}04$

What is the $95\%$ prediction interval for $2$nd quarter next year $($period $44)?$