The relationship between house prices and house sizes on $880$ houses sold in Botswana,

during mid$-2019$ are estimated by using the following three models:

Model $1$

Price $=18385\mathrm{.}65+81\mathrm{.}38899$SQFT

$($se$)(3256\mathrm{.}424)(1\mathrm{.}918489)$

$($p$-$value$)(0\mathrm{.}0000)(0\mathrm{.}0000)$

R squared $=0\mathrm{.}6721$

Model $-2$

ln $($Price$)=10\mathrm{.}538+0\mathrm{.}000596$SQFT

$($se$)(0\mathrm{.}0219)(0\mathrm{.}000013)$

$($p$-$value$)(0\mathrm{.}0000)(0\mathrm{.}0000)$

R squared $=0\mathrm{.}5873$

Model $3$

ln PRICE$)=4\mathrm{.}1707+1\mathrm{.}0066$ln $($SQFT$)$

$($se$)(0\mathrm{.}1655)(0\mathrm{.}0225)$

$($p$-$value$)(0\mathrm{.}0000)(0\mathrm{.}0000)$

R squared $=0\mathrm{.}6943$

a$)$ Interpret the estimated parameters for model $(1).$

b$)$ Interpret the estimated parameters for model $(2).$

c$)$ Interpret the estimated parameters for model $(3).$