Imagine you would like to estimate the following model health Bo + B₁cigarettes_day + u where health is self-rated health on a 1 to 5 scale (5 = very healthy) and cigarettes_day is the number of cigarettes the person smokes per day (on average). Imagine you would like to estimate B₁ using an instrumental variable (IV) regression. As instrument, you would use the variable female, which is equal to 1 if the person is female and 0 otherwise. For the situation described above, a) state the IV relevance assumption b) state the IV exogeneity assumption In your answer, use the actual variable names (instead of e.g. x, y and z).
Imagine you would like to estimate the following model health Bo + B₁cigarettes_day + u where health is self-rated health on a 1 to 5 scale (5 = very healthy) and cigarettes_day is the number of cigarettes the person smokes per day (on average). Imagine you would like to estimate B₁ using an instrumental variable (IV) regression. As instrument, you would use the variable female, which is equal to 1 if the person is female and 0 otherwise. For the situation described above, a) state the IV relevance assumption b) state the IV exogeneity assumption In your answer, use the actual variable names (instead of e.g. x, y and z).
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![Imagine you would like to estimate the following model
Bo B₁cigarettes_day + u
health =
where health is self-rated health on a 1 to 5 scale (5 = very healthy) and cigarettes_day is the number of cigarettes the person smokes per day (on average).
Imagine you would like to estimate B₁ using an instrumental variable (IV) regression. As instrument, you would use the variable female, which is equal to 1 if the
person is female and 0 otherwise.
For the situation described above,
a) state the IV relevance assumption
b) state the IV exogeneity assumption
In your answer, use the actual variable names (instead of e.g. x, y and z).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fea35d65d-c5a4-4815-8933-ba8e9e4a80fc%2Fabdcca58-36ee-4d28-81b9-f00d94ddf4c9%2Fx5vafra_processed.png&w=3840&q=75)
Transcribed Image Text:Imagine you would like to estimate the following model
Bo B₁cigarettes_day + u
health =
where health is self-rated health on a 1 to 5 scale (5 = very healthy) and cigarettes_day is the number of cigarettes the person smokes per day (on average).
Imagine you would like to estimate B₁ using an instrumental variable (IV) regression. As instrument, you would use the variable female, which is equal to 1 if the
person is female and 0 otherwise.
For the situation described above,
a) state the IV relevance assumption
b) state the IV exogeneity assumption
In your answer, use the actual variable names (instead of e.g. x, y and z).
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