$6\mathrm{.}1$ The following data is given:

$($a$)$ Use linear least$-$squares regression to determine the coefficients $\backslash ($ m $\backslash )$ and $\backslash ($ b $\backslash )$ in the function $\backslash ($ y$=$m x$+$b $\backslash )$ that best fit the data.

$($b$)$ Use Eq$.(6\mathrm{.}5)$ to determine the overall error.

Do this by hand, show your work.