Carefully analyze for yourself the picture below$($it is regression output from STATA file$).$ Provide detailed response and calculations for the following task:

Consider an equation to explain $($log$)$ salaries of CEOs $($lsalary$)$ in terms of annual firm$$s sales in logs $($lsales$),$ log of market value of the firm $($lmktval $),$ profits of the firm as a percentage of sales $($profmarg$),$ number of years as a CEO $($ceoten$),$ number of years in the company $($comten$)$ such that:

lsalary $=\backslash$alpha $+\backslash$beta $1$lsales $+\backslash$beta $2$lmktval $+\backslash$beta $3$prof marg $+\backslash$beta $4$ceoten $+\backslash$beta $5$comten $+$ u

i$)$ Are the variables included in Model A intuitive $($as expected$)$ in terms of their signs? Explain why or why not? What do you make of the fact that longer tenure with the company, holding the other factors fixed, is associated with a lower salary?

$.$ regress lsalary lsales lmktval profmarg ceotensq comtensq

Number $of$ obs $177$

$F(5,171)=17\mathrm{.}03$

Prob $>F=0\mathrm{.}0000$

$R-$squared $=0\mathrm{.}3324$

Adj $R-$squared $=0\mathrm{.}3129$

Root MSE $=\mathrm{.}50238$

testparm lsales lmktval profmarg ceotensq comtensq

$(1)$ isales $=0$

$(2)$ lmktval $=0$

$(3)$ profmarg $=0$

$(4)$ ceotensq $=0$

$(5)$ comtensq $=0$

$F(5,171)=17\mathrm{.}03$

Prob $>F=0\mathrm{.}0000$