$\begin{array}{cc}\text{S}\text{e}\text{m}\text{e}\text{s}\text{t}\text{e}\text{r}& \text{E}\text{n}\text{r}\text{o}\text{l}\text{l}\text{m}\text{e}\text{n}\text{t}\\ \text{S}\text{p}\text{r}\text{i}\text{n}\text{g}21& 40\\ \text{F}\text{a}\text{l}\text{l}21& 38\\ \text{S}\text{p}\text{r}\text{i}\text{n}\text{g}22& 42\\ \text{F}\text{a}\text{l}\text{l}22& 36\end{array}$

$1.$ June has collected her enrollment data for the last four semesters she has taught African History. If you were building a model for her, what would be the $3$ month moving average for Fall $2022?$

$2.$ June has collected her enrollment data for the last four semesters she has taught African History. If you were building a model for her, what would be the $3$ month moving average for Spring $2023?$

$3.$ June has collected her enrollment data for the last four semesters she has taught African History. If you were building a model for her, what would be the $3$ month weighted moving average for Fall $2022?($Use weights of $3$ for most recent, $2$ for next most recent and $1$ for the oldest$).$

$4.$ June has collected her enrollment data for the last four semesters she has taught African History. If you were building a model for her, what would be the $3$ month weighted moving average for Spring $2023?($Use weights of $3$ for most recent, $2$ for next most recent and $1$ for the oldest$).$

$5.$ June has collected her enrollment data for the last four semesters she has taught African History. If you were building a model for her, what would be the $2$ month weighted moving average for Spring $2023?($Use weights of $3$ for most recent and $1$ for the oldest$).$

$6.$ June has collected her enrollment data for the last four semesters she has taught African History. If you were building a model for her, what would be the exponential smoothing forecast for Fall $2022?($Use a forecast for Spring $22$ of $40$ with an alpha of $0\mathrm{.}7)$