Variable $z$ depends on parameters $x$ and $y$ according to $z = x^a y^b$. An experiment is designed where $x$ and $y$ are controlled and the resulting values of $z$ are measured:

\( \ x \ \)	\( \ y \ \)	\( \ z \ \)
\( \ 2.1 \ \)	\( \ 1.0 \ \)	\( \ 5.66 \ \)
\( \ 2.9 \ \)	\( \ 1.1 \ \)	\( \ 15.59 \ \)
\( \ 1.1 \ \)	\( \ 2.0 \ \)	\( \ 2.38 \ \)
\( \ 2.4 \ \)	\( \ 1.7 \ \)	\( \ 13.45 \ \)
\( \ 3.1 \ \)	\( \ 2.2 \ \)	\( \ 37.08 \ \)
\( \ 1.1 \ \)	\( \ 2.9 \ \)	\( \ 3.95 \ \)
\( \ 1.9 \ \)	\( \ 3.6 \ \)	\( \ 22.34 \ \)
\( \ 3.0 \ \)	\( \ 3.4 \ \)	\( \ 61.55 \ \)

Determine approximate values of $a$ and $b$. $a =$ $b =$