The owner of Maumee Ford$-$Volvo wants to study the relationship between the age of a car and its selling price. Listed below is a random sample of $12$ used cars sold at the dealership during the last year.

Car Age $($years$)$ Selling Price $($$$000)$

$11111\mathrm{.}0$

$279\mathrm{.}0$

$3163\mathrm{.}0$

$4193\mathrm{.}0$

$595\mathrm{.}0$

$6711\mathrm{.}6$

$7109\mathrm{.}6$

$8177\mathrm{.}0$

$9147\mathrm{.}0$

$10194\mathrm{.}8$

$11510\mathrm{.}6$

$1258\mathrm{.}6$

a$.$ Determine the regression equation. $($Negative amounts should be indicated by a minus sign. Round your answers to $3$ decimal places.$)$

b$.$ Estimate the selling price of an $6-$year$-$old car $($in $$000).($Round your answer to $3$ decimal places.$)$

c$.$ Interpret the regression equation $($in dollars$).($Round your answer to the nearest dollar amount.$)$