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. $$\begin{array}{|r|r|r|r|} \hline \mbox{Height } & \mbox{Age} & \mbox{Gender} & \mbox{Weight} \cr \hline 182 & 22 & 1 & 86 \cr \hline 162 & 20 & 0 & 55 \cr \hline 173 & 20 & 1 & 76 \cr \hline 176 & 20 & 1 & 78 \cr \hline 167 & 20 & 0 & 59 \cr \hline \end{array}$$ 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.

$w = w(h,a,g) =$