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8. The table below is the output you receive when running a regression using the data from the paper we read about veggie incentives. In this data, we subtracted 0.20 from the free and reduced price lunch rate (FRPL) before creating the interaction term, since 20% was the FRPL rate for the richest school in the sample. Incentive Ate a serving 0.120** [0.035] 0.250* Incentive * FRPL [0.112] Mean (pre-period) 0.336 a) What is the purpose of subtracting 0.20 from the FRPL rate? What are some other situations where this might be helpful to do? b) What would be the effect size of the incentive program at a school where the FRPL rate was 50%? c) What would the two coefficients be in the table above if you decided to re-center the FRPL rate at 10%? 8. The table below is the output you receive when running a regression using the data from the paper we read about veggie incentives. In this data, we subtracted 0.20 from the free and reduced price lunch rate (FRPL) before creating the interaction term, since 20% was the FRPL rate for the richest school in the sample. Incentive Ate a serving 0.120** [0.035] 0.250* Incentive * FRPL [0.112] Mean (pre-period) 0.336 a) What is the purpose of subtracting 0.20 from the FRPL rate? What are some other situations where this might be helpful to do? b) What would be the effect size of the incentive program at a school where the FRPL rate was 50%? c) What would the two coefficients be in the table above if you decided to re-center the FRPL rate at 10%