Suppose you are working for the California Education Authority (a fictitious entity). The authority is tasked with evaluating whether funding a free lunch program or a free after school program in elementary schools in CA would have an impact on student achievement. You are in charge of designing a 3 treatment experimental study to assess the impact of each of the two possible programs relative to having no program. Answer the following questions regarding how you would conduct such a study.

Q:Suppose you have the data from the experiment. Describe how you would evaluate the hypothesis of whether or not a free lunch program has any impact on student achievement (be specific about what variables you would include in a regression model and what coefficient you would look at to answer this question)