The U$.$S$.$ monthly inflation rate for $2019$ is shown below:

a$.$ Compute the inflation rate for January $2020$ using the exponential smoothing forecast using $a=0\mathrm{.}1$ and then using $0\mathrm{.}3.$ Assume that the forecast for January $2019$ is $1\mathrm{.}6.$ Do not round intermediate

calculations. Round your answers to three decimal places.

Forecast $($January $2020,=0\mathrm{.}1)$:

$\%$

Forecast $($January $2020,a=0\mathrm{.}3)$:

$\%$