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?
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?
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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fccbb07df-3ad4-4195-9f7b-3931440f48e9%2F1f5351bb-3cf0-40e1-8a4b-8898e7f1e34e%2Fag3vpsv_processed.jpeg&w=3840&q=75)
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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