Demand for refeshments in a staffroom $1$ at a Credence Hospital is seasonal by the shift. There are $3$ shifts in the day, and the seasonal indices for the shifts are given in the $($partially incomplete$)$ table below.

Shift of the day Seasonal Index

$1$st $0\mathrm{.}94$

$2$nd $1\mathrm{.}18$

$3$rd

$($a$)$ Suppose that $45$ days worth of data has been collected and a trendline has been constructed to forecast the demand per shift. The trendline equation built from that data is:

bold y with bold overbrace on top equals $0\mathrm{.}32$ x plus $37$

where x represents the sequential shift number, starting with x$=1$ for the $1$st shift of day $1.$ Compute the seasonal forecast for the $1$st shift of day $48.$ Give $2$ decimals.

$($b$)$ What is the seasonal index for the $3$rd shift of the day?