Consider a regression model that links a CEO's compensation $($in $ millions$)$ with the total assets of the firm $($in $ billions$)$ and the firm$$s industry. Dummy variables are used to represent four industries: Manufacturing Technology d$1,$ Manufacturing Other d$2,$ Financial Services d$3,$ and Nonfinancial Services d$4.$ The accompanying data file shows information for $455$ CEOs.

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a$.$ Estimate the model: y $=\backslash$beta $0+\backslash$beta $1$x $+\backslash$beta $2$d$1+\backslash$beta $3$d$2+\backslash$beta $4$d$3+\backslash$epsi $,$ where y and x denote compensation $($in $ millions$)$ and assets $($in $ billions$),$ respectively. The nonfinancial services industry is used for reference.

Note: Negative values should be indicated by a minus sign. Round the coefficients to $2$ decimal places.

b$-1.$ Interpret the estimated coefficient of Assets.

multiple choice $1$

In any give