university students and I want to estimate the following model for first-year student academic performance at university: WAM = β0 + β1faminc + β2ATAR + β3attend + u where WAM = a student's weighted average mark at the end of the first year faminc = a student's family income in $000s ATAR = a student’s university entry score (0-100) attend = the proportio

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I have a random sample of data on university students and I want to estimate the following model for first-year student academic performance at university:

WAM = β0 + β1faminc + β2ATAR + β3attend + u

where

  • WAM = a student's weighted average mark at the end of the first year
  • faminc = a student's family income in $000s
  • ATAR = a student’s university entry score (0-100)
  • attend = the proportion of classes the student attended in their first year

I want to estimate the causal effect of class attendance (attend) on WAM.  I am concerned there is an omitted variable z that I cannot get data on but I believe it belongs in the model.

It is well known that z has a positive effect on WAM and that z is negatively related to class attendance (attend).

To answer this question, please assume that ATAR and faminc are both uncorrelated with attend and are both uncorrelated with z.

If I estimate the model above without including the variable z, then I can expect that:

a) β^3 will be negatively biased

b) β^3 will be unbiased

c) None of the other possible answers are correct.

d) β^3 will be positively biased

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