Answer
$β_0=29.70$
$β_1=2.635$
$ŷ =48.145~inches$
Work Step by Step
In MINITAB, enter the Age values in C1 and in C2 enter the Boy Height values.
Select Stats -> Regression -> Regression -> Fit Regression Model
Enter C2 in "Responses" and C1 in "Continuous Predictors"
The least-squares regression line ($ŷ =b_1x+b_0$) will be shown in "Regression Equation", where C2 is ŷ (Boy Height) and C1 is x (Age)
$ŷ =2.635x+29.70$
That is:
$b_0=29.70$ and $b_1=2.635$
$b_0$ is the estimate for $β_0$ and $b_1$ is the estimate for $β_1$.
For a 7-year-old boy, that is, $x=7$:
$ŷ =2.635\times7+29.70=48.145$