Interpretation of Regression Coefficient in Wage Data
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Questions and Answers

What happens to the OLS intercept and slope estimates if the dependent variable is multiplied by a constant c?

  • They remain the same
  • They are added by c
  • They are divided by c
  • They are multiplied by c (correct)

Incorporating nonlinearities in regression analysis can be achieved through which form?

  • Semi-logarithmic form (correct)
  • Exponential form
  • Quadratic form
  • Linear form

If the independent variable is divided by a nonzero constant c, what happens to the OLS slope coefficient?

  • It is divided by c (correct)
  • It is squared
  • It is multiplied by c
  • It remains the same

The R-squared of a regression model represents:

<p>The fraction of sample variation in y explained by x (B)</p> Signup and view all the answers

What is the interpretation of multiplying the dependent variable by a constant in regression analysis?

<p>Changes both the OLS intercept and slope estimates (C)</p> Signup and view all the answers

In a semi-logarithmic form regression model, what kind of effect does it provide approximately?

<p>Constant percentage effect (D)</p> Signup and view all the answers

What changes when we multiply the regression coefficient by 100 to get the percentage change in wage given one additional year of education?

<p>The slope of the regression line (A)</p> Signup and view all the answers

In a constant elasticity model, what does the elasticity of the dependent variable represent?

<p>Percentage change in the dependent variable (D)</p> Signup and view all the answers

What remains the same when changing units of measurement of a variable before taking its log?

<p>The slope of the regression line (D)</p> Signup and view all the answers

What is a semi-elasticity in terms of regression analysis?

<p>The percentage change in a dependent variable given a one-unit increase in an independent variable (D)</p> Signup and view all the answers

When using a log-logarithmic form in multiple regression, what does a constant elasticity model imply?

<p>Both variables appear in logarithmic form (A)</p> Signup and view all the answers

In interpreting a regression coefficient that involves log transformation, what does changing the units of measurement before taking the log affect?

<p>The intercept of the regression line (A)</p> Signup and view all the answers

In linear regression, what type of relationship is assumed between the dependent variable and the independent variable in the population model?

<p>Linear relationship (B)</p> Signup and view all the answers

What is the key characteristic of the estimated regression coefficients in OLS?

<p>They are random variables (A)</p> Signup and view all the answers

Why is it important for the sample outcomes on the explanatory variable to not all be the same value in regression analysis?

<p>To ensure unbiasedness of OLS estimators (C)</p> Signup and view all the answers

How do OLS estimators handle changes in units of measurement in regression analysis?

<p>They need to be recalculated for each change in unit (D)</p> Signup and view all the answers

What does the assumption of being 'linear in parameters' signify in regression analysis?

<p>The relationship between variables can be expressed linearly in terms of parameters (A)</p> Signup and view all the answers

What type of model falls under the category of nonlinear regression?

<p>Regression with nonlinear relationships between variables (B)</p> Signup and view all the answers

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