Step 1 :Given the regression equation \(\hat{y}=2+3 x\), we substitute \(x=2\) into the equation to find the predicted value of y.
Step 2 :After substitution, we get \(\hat{y}=2+3*2\).
Step 3 :Solving the equation, we get \(\hat{y}=8\).
Step 4 :So, the best predicted value of \(y\) for \(x=2\) is \(\boxed{8.0}\).