Dell uses the CR$5$ chip in some of its laptop computers. The prices for the chip during the past $12$ months were as follows.

This exercise contains only part $d.$

With $=0\mathrm{.}1$ and the initial forecast for January of $$1\mathrm{.}80,$ using exponential smoothing, the forecast is: $($Round your responses to two decimal places.$)$

With $=0\mathrm{.}3$ and the initial forecast for January of $$1\mathrm{.}80,$ using exponential smoothing, the forecast is: $($Round your responses to two decimal places.$)$

With $=0\mathrm{.}5$ and the initial forecast for January of $$1\mathrm{.}80,$ using exponential smoothing, the forecast is: $($Round your responses to two decimal places.$)$

Based on all of the months in the forecast, the mean absolute deviation using exponential smoothing where $=0\mathrm{.}1$ and the initial forecast for January of $$1\mathrm{.}80$ is $

$($Round your response to three decimal places.$)$