What is/are the parameter(s) in the regression function below that capture(s) the unexplained portion of the black-white wage gap. Wage = beta1*state + beta2*education + beta3*part-time + beta4*industry/occupation + beta5*age + beta6*black beta3

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### Explanation of Regression Function Parameters

**Question:**
What is/are the parameter(s) in the regression function below that capture(s) the unexplained portion of the black-white wage gap?

**Regression Function:**
\[ \text{Wage} = \beta_1 \times \text{state} + \beta_2 \times \text{education} + \beta_3 \times \text{part-time} + \beta_4 \times \text{industry/occupation} + \beta_5 \times \text{age} + \beta_6 \times \text{black} \]

**Answer Options:**
- [ ] beta3
- [ ] beta1
- [ ] beta4
- [ ] beta5
- [ ] beta2
- [ ] beta6
- [ ] alpha

**Explanation:**
In this context, the parameter that captures the unexplained portion of the black-white wage gap is typically associated with the variable related to race or ethnicity, which in this case is \(\beta_6 \times \text{black}\). This parameter represents the estimated effect of being black on wages, after controlling for all other factors. Therefore, the correct parameter is \(\beta_6\).
Transcribed Image Text:### Explanation of Regression Function Parameters **Question:** What is/are the parameter(s) in the regression function below that capture(s) the unexplained portion of the black-white wage gap? **Regression Function:** \[ \text{Wage} = \beta_1 \times \text{state} + \beta_2 \times \text{education} + \beta_3 \times \text{part-time} + \beta_4 \times \text{industry/occupation} + \beta_5 \times \text{age} + \beta_6 \times \text{black} \] **Answer Options:** - [ ] beta3 - [ ] beta1 - [ ] beta4 - [ ] beta5 - [ ] beta2 - [ ] beta6 - [ ] alpha **Explanation:** In this context, the parameter that captures the unexplained portion of the black-white wage gap is typically associated with the variable related to race or ethnicity, which in this case is \(\beta_6 \times \text{black}\). This parameter represents the estimated effect of being black on wages, after controlling for all other factors. Therefore, the correct parameter is \(\beta_6\).
Expert Solution
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The given regression function is

Wage = beta1*state + beta2*education + beta3*part-time + beta4*industry/occupation + beta5*age + beta6*black

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