Suppose the model pctstck = Bo + Bifunds + B2risktol + e satisfies the OLS assumptions, where pctstck is the percentage of a worker's pension invested in the stock market, funds is the number of mutual funds that the worker can choose from, and risktol is a measure of risk tolerance (larger risktol means the person has a higher risk tolerance). Suppose that funds and risktol are positively correlated. Further suppose we ran the simple linear regression pctstck = a1 + a2pctstck (a) Will â be an unbiased estimate of of the effect of pctstck? (b) If it is biased, which way will the bias push our estimate?

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter7: Uncertainty
Section: Chapter Questions
Problem 7.11P
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Suppose the model
pctstck = Bo + B1.funds + Bzrisktol +€
satisfies the OLS assumptions, where pctstck is the percentage of a worker's pension invested in the
stock market, funds is the number of mutual funds that the worker can choose from, and risktol is a
measure of risk tolerance (larger risktol means the person has a higher risk tolerance).
Suppose that funds and risktol are positively correlated. Further suppose we ran the simple linear
regression
pctstck = a1 + a2pctstck
(a) Will â be an unbiased estimate of of the effect of pctstck?
(b) If it is biased, which way will the bias push our estimate?
Transcribed Image Text:Suppose the model pctstck = Bo + B1.funds + Bzrisktol +€ satisfies the OLS assumptions, where pctstck is the percentage of a worker's pension invested in the stock market, funds is the number of mutual funds that the worker can choose from, and risktol is a measure of risk tolerance (larger risktol means the person has a higher risk tolerance). Suppose that funds and risktol are positively correlated. Further suppose we ran the simple linear regression pctstck = a1 + a2pctstck (a) Will â be an unbiased estimate of of the effect of pctstck? (b) If it is biased, which way will the bias push our estimate?
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