Finding the minimum possible 𝐞 𝚫𝐆 with weighted regression is not as simple as our 𝑦 = 𝑚𝑥 + 𝑒 analogy. We can instead use a derived result from maximum likelihood estimation to solve for the changes in free energy, 𝚫 Ĝ, that best estimate 𝚫𝐆 𝐓𝐫𝐮𝐞 . The weighted linear regression solution is )