b$)$ Using the$3-$year moving$$ average, provide the forecast from periods $4$ through $12($round your responses to one decimal$$ place$).$

Year

$4$

$5$

$6$

$7$

$8$

$9$

$10$

$11$

$12$

Forecast

$$

$7$

$$

$6\mathrm{.}7$

$$

$8$

$$

$9$

$$

$10\mathrm{.}3$

$$

$10\mathrm{.}3$

$$

$10\mathrm{.}3$

$$

$11$

$$

$9\mathrm{.}3$

Part $3$

$$c$)$ Using the$3-$year weighted moving average with weights $0\mathrm{.}10,0\mathrm{.}25,$ and $0\mathrm{.}65,$ using $0\mathrm{.}65$ for the most recent$$ period, provide the forecast from periods $4$ through $12($round your responses to two decimal$$ places$).$

Year

$4$

$5$

$6$

$7$

$8$

$9$

$10$

$11$

$12$

Forecast

$$

$6\mathrm{.}05$

$$

$6\mathrm{.}6$

$$

$10\mathrm{.}05$

$$

$8\mathrm{.}9$

$$

$10\mathrm{.}35$

$$

$11\mathrm{.}35$

$$

$9\mathrm{.}3$

$$

$11\mathrm{.}65$

$$

$8\mathrm{.}6$

Part $4$

$$d$)$ Mean absolute deviation for the forecast developed using the$3-$year moving average is $2\mathrm{.}25$ and for the$3-$year weighted moving average is $2\mathrm{.}98.$ Based on this$$ information, the better forecast is achieved using the

weighted moving average

approach.

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