The U$.$S$.$ monthly inflation rate for $2020$ is shown below:

MONTH INFLATION $(\%)$ MONTH INFLATION $(\%)$

January $2\mathrm{.}5$ July $1\mathrm{.}0$

February $2\mathrm{.}3$ August $1\mathrm{.}3$

March $1\mathrm{.}5$ September $1\mathrm{.}4$

April $0\mathrm{.}3$ October $1\mathrm{.}2$

May $0\mathrm{.}1$ November $1\mathrm{.}2$

June $0\mathrm{.}7$ December $1\mathrm{.}4$

Compute the inflation rate for January $2021$ using the exponential smoothing forecast using $=0\mathrm{.}2$ and then using $0\mathrm{.}8.$ Assume that the forecast for January $2020$ is $2\mathrm{.}5.$ Do not round intermediate calculations. Round your answers to three decimal places.

Forecast $($January $2021,=0\mathrm{.}2)$:

$\%$

Forecast $($January $2021,=0\mathrm{.}8)$:

$\%$

What is the MAD for the forecasts generated using exponential smoothing method? Use only the months from March to December. Do not round intermediate calculations. Round your answers to three decimal places.

MAD $(=0\mathrm{.}2)$:

p$.$p$.$

MAD $(=0\mathrm{.}8)$:

p$.$p$.$

Which method is better?