Emergency calls to the $911$ system of Durham, North Carolina, for the past $24$ weeks are shown in the following table.

$\backslash$table$[[$Week$,1,2,3,4,5,6,7,8,9,10,11,12],[$Calls$,48,35,26,39,45,34,19,32,35,19,16,39],[$Week$,13,14,15,16,17,18,19,20,21,22,23,24],[$Calls$,56,34,26,55,56,40,36,59,76,50,39,64]]$

a$)$ Assuming a starting forecast of $48\mathrm{.}00$ for week $1$ with a smoothing constant $$ of $0\mathrm{.}20,$ the forecasts for weeks $2$ through $24$ have been developed and are provided below. Continuing with the given information, the forecast for week $25$ is $($round your response to two decimal places$)$:

$\backslash$table$[[$Week$,1,2,3,4,5,6,7,8,9,10,11,12,],[$Calls$,48\mathrm{.}00,48\mathrm{.}00,45\mathrm{.}40,41\mathrm{.}52,41\mathrm{.}02,41\mathrm{.}82,40\mathrm{.}26,36\mathrm{.}01,35\mathrm{.}21,35\mathrm{.}17,31\mathrm{.}94,28\mathrm{.}75,],[$Week$,13,14,15,16,17,18,19,20,21,22,23,24,25],[$Calls$,30\mathrm{.}80,35\mathrm{.}84,35\mathrm{.}47,33\mathrm{.}58,37\mathrm{.}86,41\mathrm{.}49,41\mathrm{.}19,40\mathrm{.}15,43\mathrm{.}92,50\mathrm{.}34,50\mathrm{.}27,48\mathrm{.}02,51\mathrm{.}22]]$

b$)$ Assuming a starting forecast of $48\mathrm{.}00$ for week $1$ with a smoothing constant $$ of $0\mathrm{.}65,$ the forecasts for weeks $2$ through $24$ have been developed and are provided below. Continuing with the given information, the forecast for week $25$ is $($round your response to two decimal places$)$:

$\backslash$table$[[$Week$,1,2,3,4,5,6,7,8,9,10,11,12,],[$Calls$,48\mathrm{.}00,48\mathrm{.}00,39\mathrm{.}55,30\mathrm{.}74,36\mathrm{.}11,41\mathrm{.}89,36\mathrm{.}76,25\mathrm{.}22,29\mathrm{.}63,33\mathrm{.}12,23\mathrm{.}94,18\mathrm{.}78,],[$Week$,13,14,15,16,17,18,19,20,21,22,23,24,25],[$Calls$,31\mathrm{.}92,47\mathrm{.}57,38\mathrm{.}75,30\mathrm{.}46,46\mathrm{.}41,52\mathrm{.}64,44\mathrm{.}42,38\mathrm{.}95,51\mathrm{.}98,67\mathrm{.}59,56\mathrm{.}16,45\mathrm{.}01,]]$