For the school data set using math score as the outcome variable, fit the following models: a) A fixed effects model with schools and SES as fixed effects. b) The same as (a), but with each SES...

For the school data set using math score as the outcome variable, fit the following models:

a) A fixed effects model with schools and SES as fixed effects.

b) The same as (a), but with each SES centered around its respective school mean.

c) Compare the models in (a) and (b). What effect did centering SES have on the results? Why do you think this happened? (One or two sentences are sufficient.)