Multiple Regression Examples

# Multiple Regression Examples - Example Beauty in the...

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Example: Beauty in the Classroom Example: Beauty in the Classroom I In a 2005 paper published in the journal Economics of Higher Education Review , Daniel Hamermesh and Amy Parker studied the relationship between the “beauty” of professors at the University of Texas and the evaluations they received from students. I We will use the Hamermesh and Parker dataset to investigate this relationship using a simple linear regression model: Evaluations i = β 0 + β 1 Beauty i + u i I Here, both course evaluation and beauty scores are scored from 1 to 5, with 1 being the lowest and 5 being the highest. EC 320 Simple Regression Analysis 1

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Example: Beauty in the Classroom Example: Beauty in the Classroom The following table is output showing the results of OLS estimation: EC 320 Simple Regression Analysis 2
Example: Beauty in the Classroom Example: Beauty in the Classroom I What conclusions can we draw from the output table? I Higher values of the beauty variable are associated with higher course evaluations. In particular, an increase of one in the beauty score leads to an increase in the course evaluation score of 0.13 on average. I This effect is not very big. I Beauty does not explain much of course evaluations. The R 2 is only 0.036, meaning that only 3.6% of the variation in course evaluations is explained by beauty. There are likely many other things that influence course evaluations that we have left out of our model.

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