The figure shown to the right contains a scatter plot of $10$ data points for trees, where the diameter of a tree at breast height $($Dbh$)$ is given in inches and the height is given in feet. The regression model is shown below, where $x$ is the Dbh in inches and $y$ is the height in feet.

$y=1\mathrm{.}12x+0\mathrm{.}62$

$($A$)$ Interpret the slope of the model.

A$.$ The rate of change of height with respect to $Dbh$ is $1\mathrm{.}12f\frac{t}{i}n.$

B$.$ The rate of change of height with respect to $Dbh$ is $1\mathrm{.}12i\frac{n}{f}t.$

C$.$ The rate of change of height with respect to Dbh is $0\mathrm{.}62f\frac{t}{i}n.$

D$.$ The rate of change of height with respect to $Dbh$ is $0\mathrm{.}62i\frac{n}{f}t.$

$($B$)$ What is the effect of a $1-$Inch increase in Dbh$?$

A $1$ inch increase in Dbh produces a foot increase in height.

$($C$)$ Estimate the height of a tree with a Dbh of $15$ inches.

$y$~~ feet

$($Round to the nearest foot as needed.$)$

$($D$)$ Estimate the Dbh of a tree that is $25$ feet tall.

$x$~~ inches

$($Round to the nearest inch as needed.$)$