Suppose wage (Y) is determined by years of schooling (yrsc) and sociability (soc) the following causal model: Y = Bo + B₁yrsc + ß₂ soc+u, where u captures all other unobservable variables and is uncorrelated with both years of schooling and sociability. Assume ß¿ > 0 for i Furthermore, assume cov(yrsc, soc) > 0. What can you conclude about the short regression model: Y = ß* + B₁yrsc + e where = 0, 1, 2.

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Chapter1: Making Economics Decisions
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Suppose wage (Y) is determined by years of schooling (yrsc) and
sociability (soc) the following causal model:
-
Y = ßo + B₁yrsc + ß₂ soc+u, where u captures all other
unobservable variables and is uncorrelated with both years of
schooling and sociability. Assume B₁ > 0 for i
0, 1, 2.
Furthermore, assume cov(yrsc, soc) > 0. What can you conclude
about the short regression model: Y B + B₁yrsc+e where
E(e) = 0 and cov(yrsc, e) = 0?
=
O B₁ =B₁
OB > B₁
There's not enough information.
οβα < βι
Transcribed Image Text:Suppose wage (Y) is determined by years of schooling (yrsc) and sociability (soc) the following causal model: - Y = ßo + B₁yrsc + ß₂ soc+u, where u captures all other unobservable variables and is uncorrelated with both years of schooling and sociability. Assume B₁ > 0 for i 0, 1, 2. Furthermore, assume cov(yrsc, soc) > 0. What can you conclude about the short regression model: Y B + B₁yrsc+e where E(e) = 0 and cov(yrsc, e) = 0? = O B₁ =B₁ OB > B₁ There's not enough information. οβα < βι
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