Q$\mathrm{.}2)$ Monthly return data $($in $\%)$ for ONGC stock and the NSE index for a $12-$month period are presented below:

$\backslash$table$[[$MONTH$,$ONGC,NSE Index$],[1,-0\mathrm{.}75,-0\mathrm{.}35],[2,5\mathrm{.}45,-0\mathrm{.}49],[3,-3\mathrm{.}05,-1\mathrm{.}03],[4,3\mathrm{.}41,1\mathrm{.}64],[5,9\mathrm{.}13,6\mathrm{.}67],[6,2\mathrm{.}36,1\mathrm{.}13],[7,-0\mathrm{.}42,0\mathrm{.}72],[8,5\mathrm{.}51,0\mathrm{.}84],[9,6\mathrm{.}80,4\mathrm{.}05],[10,2\mathrm{.}60,1\mathrm{.}21],[11,-3\mathrm{.}81,0\mathrm{.}29],[12,-1\mathrm{.}91,-1\mathrm{.}96]]$

$2.$a$)$ Calculate alpha & beta for ONGC stock.

$2.$b$)$ Suppose NSE index is expected to move up by $15\%$ next month. How much return would you expect from ONGC?