Here are the estimated results for these 14 seasons of data (2000-2013).
A few observations: first, that other than the constant term, each of the variables is statistically significant at the 99% confidence level and of the correct sign. Only GIDPCS and OUTS are negative, which both are using up the finite and scarce resource in baseball: outs. Second,the coefficient on HR's is greater than the coefficient on Singles, which means that a HR will on average generate more runs than a single. All the other coefficients seem to make sense as well. Finally, note that the coefficient on grounded into a double play plus caught stealing (GIDPCS) is greater in absolute value than a stolen base (SB), which means that if a player made two stolen base attempts, and was successful on one attempt but not on the other, that player on average would have cost his team more than he benefited his team.
Up next is the best hitters for the 2012 and 2013 seasons.