In a regression equation that uses sex (Male=0, Female=1), years of education, and the interaction effect between sex and education, all of the resulting slopes are statistically significant. We find that the two parent slopes have positive values and the slope for the interaction effect has a positive value. Which of the following best describes the resulting graphs?
A) The male line starts above the female line and continues to pull away from the female line.
B) The male line starts above the female line, but the female line starts to catch up with the male line.
C) The female line starts above the male line and continues to pull away from the male line.
D) The female line starts above the male line, but the male line starts to catch up with the female line.

Question

Quizplus · Accepted Answer

The positive slopes for both parent variables (sex and years of education) indicate that as the value of these variables increases, the outcome variable also increases. The positive interaction effect suggests that the increase is even greater for females (coded as 1) as they gain more education, leading to the female line not only starting above the male line but also pulling away further as years of education increase.

In a Regression Equation That Uses Sex (Male=0, Female=1), Years