Suppose we are interested in the effect of gender on income and we estimate a model in which income is the dependent variable and the regressor is a dummy variable that takes the value 1 if the person is a man and O if the person is a woman. If we instead estimate a model that includes a dummy variable for women (takes value 1 if woman and O if man), then The fit of the model will change. We will get a different conclusion for testing a null hypothesis that there is no gender effect. The coefficient on the dummy variables will differ across models, but the estimated difference of mean income between men and women will not change. The coefficient on the dummy variables will be exactly the same.
Suppose we are interested in the effect of gender on income and we estimate a model in which income is the dependent variable and the regressor is a dummy variable that takes the value 1 if the person is a man and O if the person is a woman. If we instead estimate a model that includes a dummy variable for women (takes value 1 if woman and O if man), then The fit of the model will change. We will get a different conclusion for testing a null hypothesis that there is no gender effect. The coefficient on the dummy variables will differ across models, but the estimated difference of mean income between men and women will not change. The coefficient on the dummy variables will be exactly the same.
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section: Chapter Questions
Problem 10T: Olympic Pole Vault The graph in Figure 7 indicates that in recent years the winning Olympic men’s...
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![Suppose we are interested in the effect of gender on income
and we estimate a model in which income is the dependent
variable and the regressor is a dummy variable that takes the
value 1 if the person is a man and O if the person is a woman.
If we instead estimate a model that includes a dummy variable
for women (takes value 1 if woman and 0 if man), then
The fit of the model will change.
We will get a different conclusion for testing a null hypothesis that
there is no gender effect.
The coefficient on the dummy variables will differ across models,
but the estimated difference of mean income between men and
women will not change.
The coefficient on the dummy variables will be exactly the same.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1858a710-c111-4513-9004-6c10bf7d1d6e%2F2ac69e63-f036-4e64-8857-0f6c77ea92ff%2Frk0c8k_processed.png&w=3840&q=75)
Transcribed Image Text:Suppose we are interested in the effect of gender on income
and we estimate a model in which income is the dependent
variable and the regressor is a dummy variable that takes the
value 1 if the person is a man and O if the person is a woman.
If we instead estimate a model that includes a dummy variable
for women (takes value 1 if woman and 0 if man), then
The fit of the model will change.
We will get a different conclusion for testing a null hypothesis that
there is no gender effect.
The coefficient on the dummy variables will differ across models,
but the estimated difference of mean income between men and
women will not change.
The coefficient on the dummy variables will be exactly the same.
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