For a quarterly time series over the last $3$ years $($Year $1,$ Year $2,$ Year $3),$ the following linear trend expression was estimated: y with hat on top $=120+3\mathrm{.}8$t$.$ The forecast for quarter $4$ of Year $4$ is

a$.$

$192\mathrm{.}5$

b$.$

$180\mathrm{.}8$

c$.$

$152\mathrm{.}5$

d$.$

$160\mathrm{.}0$