At the end of the semester the lecturer runs a regression using the student's final grade as the dependent variable and a male dummy (equals one if the student is male and equals zero otherwise) as the sole explanatory variable. If the estimated intercept is 68 and the estimated coefficient on the male dummy is 5 then what is the estimated mean mark for males in this course?

Question

BlackTom AI · Accepted Answer

To understand the estimated mean for males, we use the regression equation that regresses final grade on the male dummy variable.
In this specification, the intercept represents the mean grade when the male dummy equals 0 (i.e., for females). The coefficient on the male dummy indicates how much the mean changes when moving from the female group (0) to the male group (1).
Given: intercept = 68 and coefficient on male = 5. For males, the dummy variable equals 1, so the predicted mean is 68 + 5 × 1 = 68 + 5 = 73.
Therefore, the estimated mean grade for males is 73.
If one were to compare to females, the predicted mean for females would be 68 (since the male dummy is 0, the coefficient does not add anything).
Note: There are no answer options provided in this item, so the calculation relies solely on the regression specification and reported estimates.

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