wo business analysts with Carleton Athletics are trying to predict the volume of crowd attendance for their basketball games in the winter of $2024($Period $13).$ Both agree that they should use exponential smoothing forecast methods on the data they have, which is shown below, but disagree on the smoothing constant they should use. Given the dataset below that they are using, which smoothing factor should Carleton Athletics use?

Period

Attendance

Volume

Period

Attendance

Volume

Period

Attendance

Volume

$1$

$30$

$5$

$28$

$9$

$45$

$2$

$23$

$6$

$36$

$10$

$54$

$3$

$40$

$7$

$60$

$11$

$84$

$4$

$46$

$8$

$71$

$12$

$66$