The following sequence of CPU bursts has been observed: $7,4,5,7,12,14.$

$($a$)$ Using $7$ as the initial estimate, $S_0,$ generate the sequence of predictions, $S_i,$ for the corresponding observed values, $T_i,$ where $1i5$ and $=0\mathrm{.}8.$

$($b$)$ Repeat the same predictions for $=0\mathrm{.}5$