Suppose you are interested in studying the effect of time spent in an SAT preparation course on actual SAT score. You propose the following regression of SAT score on hours spent in preparation for SAT and family income: Y = Bo + BiX + B2X2 + u Where Y = score on SAT X₁ = time spent in studying in an SAT preparation course X₂ = income of the student's family u = error term An important assumption in the regression model with two independent variables is that E(u|x₁,x₂)=0. Assume for simplicity that the only other relevant factor (contained in the error term) that affects Y is natural ability. That is, natural ability and u are essentially equivalent in your regression. In the context of your proposed regression, this assumption assumes which of the following? Natural ability plays no role in influencing SAT score. Natural ability is, on average, unrelated to hours spent in preparation for SAT but may be related to family income. Natural ability is, on average, unrelated to family income but may be related to hours spent in preparation for SAT. Natural ability is, on average, unrelated to hours spent in preparation for SAT and family income.

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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Suppose you are interested in studying the effect of time spent in an SAT
preparation course on actual SAT score. You propose the following regression of
SAT score on hours spent in preparation for SAT and family income:
Y = Bo + BiX + B2X2 + u
Where
Y = score on SAT
X₁ = time spent in studying in an SAT preparation course
X₂ = income of the student's family
u = error term
An important assumption in the regression model with two independent variables is
that E(u|x₁,x₂)=0. Assume for simplicity that the only other relevant factor
(contained in the error term) that affects Y is natural ability. That is, natural ability
and u are essentially equivalent in your regression.
In the context of your proposed regression, this assumption assumes which of the
following?
Transcribed Image Text:Suppose you are interested in studying the effect of time spent in an SAT preparation course on actual SAT score. You propose the following regression of SAT score on hours spent in preparation for SAT and family income: Y = Bo + BiX + B2X2 + u Where Y = score on SAT X₁ = time spent in studying in an SAT preparation course X₂ = income of the student's family u = error term An important assumption in the regression model with two independent variables is that E(u|x₁,x₂)=0. Assume for simplicity that the only other relevant factor (contained in the error term) that affects Y is natural ability. That is, natural ability and u are essentially equivalent in your regression. In the context of your proposed regression, this assumption assumes which of the following?
Natural ability plays no role in influencing SAT score.
Natural ability is, on average, unrelated to hours spent in preparation for
SAT but may be related to family income.
Natural ability is, on average, unrelated to family income but may be
related to hours spent in preparation for SAT.
Natural ability is, on average, unrelated to hours spent in preparation for
SAT and family income.
Transcribed Image Text:Natural ability plays no role in influencing SAT score. Natural ability is, on average, unrelated to hours spent in preparation for SAT but may be related to family income. Natural ability is, on average, unrelated to family income but may be related to hours spent in preparation for SAT. Natural ability is, on average, unrelated to hours spent in preparation for SAT and family income.
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