Passenger miles flown on Northeast$$ Airlines, a commuter firm serving the Boston$$ hub, are shown for the past $12$ weeks:

$$

Week

$1$

$2$

$3$

$4$

$5$

$6$

$7$

$8$

$9$

$10$

$11$

$12$

Actual Passenger Miles$($in thousands$)$

Part $2$

$$a$)$ Assuming an initial forecast for week $1$ of $$miles$,$ use exponential smoothing to compute miles for weeks $2$ through $12.$ Use $($round your responses to two decimal$$ places$).$Are the tracking signals within acceptable$$ limits$?$

The control limits for the tracking signal are set at MADs. The tracking signals

are within

acceptable limits$.$