QUESTION $3$

Suppose ST $260$ enrollment in a semester $($fall$,$ spring, or summer$)$ were to be forecasted using trend and seasonality decomposition. The parameters for this forecasting model are provided below:

Intercept $=396\mathrm{.}0,$ Slope $=8\mathrm{.}3,S_{\text{f}\text{a}\text{l}\text{l}}=1\mathrm{.}4,S_{\text{s}\text{p}\text{r}\text{i}\text{n}\text{g}}=1\mathrm{.}2,S_{\text{s}\text{u}\text{m}\text{m}\text{e}\text{r}}=0\mathrm{.}4$

Determine the forecast for semester $8,$ given that semester $1$ was a fall semester.

Compute the forecast value to one decimal place; e$.$g$.,$ xx$.$x$.$