Suppose you want to evaluate the effectiveness of a job training program using Y = Bo + B₁X₁ + u as a model. You take 100 employees and estimate the simple regression as: Ŷ = 22.6 - 8.6X₁ Where Y= hourly wage in dollars X₁ = 1 if the employee participated in the training course, 0 otherwise Suppose that in addition to performing the simple regression, you perform a multiple regression with three controls that gives the following result: Ỹ = 19.5+ 7.5X₁ +0.9X₂ + 0.85X3 -0.65X4 Where Y= hourly wage in dollars X₁ = 1 if the employee participated in the training course, 0 otherwise X₂ = hourly wage in dollar prior to the training course becoming available X3 years of education X4= age in years The difference between Ŷ and Ỹof an employee who participated in the training program is $ per hour.

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Author:Amos Gilat
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Suppose you want to evaluate the effectiveness of a job training program using Y = Bo + B₁X₁ + u
as a model. You take 100 employees and estimate the simple regression as:
Ŷ = 22.6 8.6X₁
Where
Y= hourly wage in dollars
X₁ = 1 if the employee participated in the training course, 0 otherwise
Suppose that in addition to performing the simple regression, you perform a multiple regression
with three controls that gives the following result:
Ỹ = 19.5+ 7.5X₁ + 0.9X₂ + 0.85X3 – 0.65X4
Where
Y= hourly wage in dollars
X₁ = 1 if the employee participated in the training course, 0 otherwise
X₂ = hourly wage in dollar prior to the training course becoming available
X3 = years of education
X4 = age
in years
The difference between Ŷ and Ỹof an employee who participated in the training
program is $
per hour.
Transcribed Image Text:Suppose you want to evaluate the effectiveness of a job training program using Y = Bo + B₁X₁ + u as a model. You take 100 employees and estimate the simple regression as: Ŷ = 22.6 8.6X₁ Where Y= hourly wage in dollars X₁ = 1 if the employee participated in the training course, 0 otherwise Suppose that in addition to performing the simple regression, you perform a multiple regression with three controls that gives the following result: Ỹ = 19.5+ 7.5X₁ + 0.9X₂ + 0.85X3 – 0.65X4 Where Y= hourly wage in dollars X₁ = 1 if the employee participated in the training course, 0 otherwise X₂ = hourly wage in dollar prior to the training course becoming available X3 = years of education X4 = age in years The difference between Ŷ and Ỹof an employee who participated in the training program is $ per hour.
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