The average treatment effect often encounters randomized control trials with multiple treatments. Think about situations with no treatment, treatment 1, and treatment 2. In regression y=+g1+g2+, where g is a dummy variable, g1 takes one for treatment 1, and zero otherwise; g2 takes one for treatment 2, and zero otherwise. , , and are parameters, and is an error wherein E[]=0. 1. Using and express the outcomes with derivations mathematically and explain what can be estimated and explain each outcome. 2. Estimate the average difference of treatment effects between treatment 1 and treatment 2. Then, consider and express a specification of a regression when y, g1, and g2 are given. Following this, denote the key parameter by and express what it measures in a mathematical format.