The following table presents data from the most recent OD household survey $($conducted ten years ago$)$ for three zones:

$\backslash$table$[[$Zone$,$Residents$/$HH$,$Workers$/$HH$,$Mean Income $($t$/$year$),$Population$],[$I$,2\mathrm{.}0,1\mathrm{.}0,200000,20000],[$II$,3\mathrm{.}0,2\mathrm{.}0,600000,60000],[$III$,2\mathrm{.}5,2\mathrm{.}0,1200000,100000]]$

The linear regression model developed for trip generation:

$y_i=0\mathrm{.}2+0\mathrm{.}5x_1+1\mathrm{.}1Z_1$

Where, $y$ is the household peak hour trips, $x_1$ is the number of workers in the household,

$Z_1$ is a dummy variable that takes the value $1$ for high$-$income households $(>600000/$year$)$ and $0$ in other case.

Calculate the estimated trip rates of the zones using the regression model.