The accompanying data file contains quarterly data on weekly earnings (Earnings, adjusted for inflation) in the U.S. For cross-validation, let the training and the validation sets comprise the periods from 2010:01 to 2015:04 and 2016:01 to 2017:04, respectively. 

a. Use the training set to estimate the linear and the quadratic trend models with seasonal dummy variables and compute the resulting MSE, MAD, and MAPE for the validation set. 

b. Determine the preferred model and reestimate it with the entire data set to forecast earnings for the first quarter of 2018.