The following model: Y₁ =B₁ + B₁x₁₂ + B₂x₂ + B₂x₂ + B₂X4₁ +U/ has been estimated by OLS on an unbalanced panel of 15.000 observations on 4.500 EU dairy processing firms in 7 years. Over the same data, an equivalent model has been estimated as a fixed effect (FE) model. The following are some results of the estimates: OLS: Fixed effects: B2 (fixed effect)= 0.815 Sp2 (fixed effect)=0.405 SSR=25.500 SST=37.000 SSR=11.000 Write the structure of the fixed effect model and explain carefully how the variables are computed. b. Carry out an F test of the Fixed effect model vs. the plain OLS model. Explain the implications of the result. c. Carry out a t-test of the ß₂ coefficient of the fixed effect model (Hint: Are you sure you can trust the standard error provided by your software?) d. How can you obtain the firm-specific intercepts?