Question

Consider a model to predict a score earned in a game based on the gender of a player. Based on the sample data, males have higher average scores than females. In computer output for the model, the intercept is 53.4 and the coefficient of Gender is −1.4. How is the variable Gender coded and what is the average scores for males and females in the sample?

A : The variable Gender was coded as 0 for females and 1 for males. The average score for males is 52. The average score for females is 53.4.

B : The variable Gender was coded as 0 for females and 1 for males. The average score for males is 53.4. The average score for females is 52.

C : The variable Gender was coded as 1 for females and 0 for males. The average score for males is 53.4. The average score for females is 52.

D : The variable Gender was coded as 1 for females and −1 for males. The average score for males is 54.8. The average score for females is 52.

E : The variable Gender was coded as −1 for females and 1 for males. The average score for males is 52. The average score for females is 54.8.

Answer 1

The equation here is given as:

Score = 53.4 - 1.4 * Gender

For gender = 0 as female and 1 as male, average score is given as 53.4 when we put gender = 0 for females and 52 when we put gender = 1 for males. Therefore A is the correct answer here.

For gender = 1 as female and 0 as male, average score is given as 53.4 when we put gender = 0 for males and 52 when we put gender = 1 for females. Therefore C is also the correct answer here.

Only these are the correct answers here.