Question
Write the model (1) using a vector form in a sample version as follows: y i = 01 x i1 + 02 x i2 +
Write the model (1) using a vector form in a sample version as follows:
y i = 01 x i1 + 02 x i2 + + 07 x i7 + u i = x 0 i 0 + u i , (2) where i = 1,...,N, 0 = ( 01 ,..., 07 ) 0 , x i = (x i1 ,...,x i7 ) 0 = (1,SFLA,...,AGE) 0 , and the definition of y i should be obvious. Further define X = (x 1 ,...,x N ) 0 in case one may need this notation to answer the following questions. (a). To obtain the OLS estimate of 0 of (2), we need to minimize an objective function. Please write down the correct function form of the objective function. (1 point) (b). Describe the basic assumptions of the classic linear regression models using the nota- tions of (2). (2 points) (c). Provided that these assumptions hold, what conclusions can you make about the OLS estimators?
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