A multiple regression equation with $2$ independent variables has the following properties:

For every $5-$unit increase in $x_1,y$ decreases by $17\mathrm{.}5$ units on average, holding $x_2$ constant.

For every $2-$unit increase in $x_2,y$ increases by $29$ units on average, holding $x_1$ constant.

When $x_1=0$ and $x_2=0,$hat$(y)=53.$

Which of the following best represents the equation?

hat$(y)=53-3\mathrm{.}5x_1-14\mathrm{.}5x_2$

hat$(y)=53-3\mathrm{.}5x_1+14\mathrm{.}5x_2$

hat$(y)=17\mathrm{.}5x_1+29x_2-99\mathrm{.}5$

hat$(y)=99\mathrm{.}5-17\mathrm{.}5x_1+17\mathrm{.}5x_2$

hat$(y)=53+17\mathrm{.}5x_1+29x_2$