$(1$ point$)$ An origin$-$destination survey in ten travel$-$analysis zones provided the following data relating to zonal residential densities $($households$/$acre$)$ and average daily trip production per household. Calibrate and plot a linear regression model. Then use you model to estimate the trip rate for a zone with a density of $25($households$/$acre$).$

$\backslash$table$[[$Density X$,40,5,20,10,4,15,20,12,14,22],[$Trip rate Y$,1\mathrm{.}5,3\mathrm{.}2,2\mathrm{.}3,2\mathrm{.}6,3\mathrm{.}3,2\mathrm{.}7,2\mathrm{.}5,3\mathrm{.}0,2\mathrm{.}5,2\mathrm{.}0]]$