WAM = β0 + β1Attend + u Where: WAMis a student's weight average mark Attendis the proportion of lectures attended by a student in an academic year

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter2: Exponential, Logarithmic, And Trigonometric Functions
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Consider a single variable model to estimate the effect of in-person lecture attendance on university students' WAMs (weighted average marks):

(C1) WAM = β0 + β1Attend + u

Where:

  • WAMis a student's weight average mark
  • Attendis the proportion of lectures attended by a student in an academic year

Using the information above, answer the following 3 questions.

[i] Explain why Attend might be endogenous in Model (C1). What does this suggest about E [u ∣ Attend]? 

 

[ii] Suppose that student attendance is related to a student's conscientiousness. Does this mean that conscientiousness would be a good instrumental variable for Attend? Why or why not? Explain your reasoning. 

 

[iii] Unfortunately a major strike by railway works disrupts transport links to 3 of the 7 universities in a city for a period of 2 weeks. This temporarily means that students who are enrolled at those 3 affected universities cannot attend lectures in person. Carefully explain how you would use this information to construct an instrumental variable for Attend

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