A financial analyst engaged in business valuation obtained financial data on $71$ drug companies. Let $Y$ correspond to the price$-$to$-$book value ratio, $x_1$ correspond to the return on equity, and $x_2$ correspond to the growth percentage. Use the accompanying data to complete parts $a.$ through $e.$ below.

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a$.$ Develop a regression model to predict price$-$to$-$book$-$value ratio based on return on equity.

hat$(Y{)}_i=+x_{1i}$

$($Round to four decimal places as needed.$)$

Business Valuation Data

$\backslash$table$[[\backslash$table$[[$Price$/$Book Value$],[$Ratio$]],$Return on Equity,Growth $\%],[1\mathrm{.}507,12\mathrm{.}932,6\mathrm{.}388],[8\mathrm{.}357,11\mathrm{.}818,135\mathrm{.}714],[2\mathrm{.}136,12\mathrm{.}294,0\mathrm{.}012],[6\mathrm{.}546,25\mathrm{.}204,14\mathrm{.}238],[1\mathrm{.}357,8\mathrm{.}789,22\mathrm{.}833],[3\mathrm{.}207,38\mathrm{.}079,18\mathrm{.}995],[2\mathrm{.}361,25\mathrm{.}623,24\mathrm{.}509],[5\mathrm{.}335,19\mathrm{.}755,11\mathrm{.}718],[2\mathrm{.}335,22\mathrm{.}889,49\mathrm{.}945],[7\mathrm{.}626,69\mathrm{.}704,36\mathrm{.}723],[0\mathrm{.}505,3\mathrm{.}722,41\mathrm{.}045],[2\mathrm{.}442,9\mathrm{.}269,28\mathrm{.}802],[7\mathrm{.}702,29\mathrm{.}113,51\mathrm{.}982],[5\mathrm{.}104,17\mathrm{.}835,25\mathrm{.}117]]$