Using a calculator or statistical software, find the linear regression line for the data in the table below. Then, use the equation to estimate the value of y when x is 12. Round the values of a and b to the nearest hundredth, then use the equation to solve for y when x=12. Round the final answer to the nearest hundredth.

x y
3 3.44
4 5.84
5 8.23
6 6.38
7 9.06
8 9.06
9 9.87
10 11.36