The table below lists the height \( h \) (in cm ), the age \( a \) (in years), the gender \( g(0= \) "Female", \( 1= \) "Male"), and the weight \( w \) (in kg) of some college students.
\begin{tabular}{|r|r|r|r|}
\hline Height & Age & Gender & Weight \\
\hline 178 & 19 & 1 & 86 \\
\hline 160 & 20 & 0 & 60 \\
\hline 168 & 19 & 0 & 66 \\
\hline 172 & 18 & 1 & 81 \\
\hline 182 & 21 & 1 & 90 \\
\hline
\end{tabular}
We wish to fit a linear function of the form
\[
w=c_{0}+c_{1} h+c_{2} a+c_{3} g
\]
which predicts the weight from the rest of the data. Find the best approximation of this function, using least squares.
\[
w=w(h, a, g)=
\]
\( \square \)