There has been conjecture by high school administrators at a particular high school in Delaware about whether a relationship exists between the average math SAT score and the average verbal SAT score and the gender of the student taking the SAT examination. To help better understand the situation, suppose data have been collected on a sample of students in the school. Consider the following relationship:

yi = b0 + b1x1 + b2x2 + e where:

x1 = Average verbal SAT score and x2 = e 0 if female 1 if male

a. Use the data provided in the file MathSAT to compute the linear regression equation to predict the average math SAT score using the gender and the average verbal SAT score of the students taking the SAT examination.

b. Interpret the parameters in the model.

c. Conduct a hypothesis test to determine if the gender of the student taking the SAT examination is a significant predictor of the student’s average math SAT score for a given average verbal SAT score.

d. Predict the average math SAT score of female students who have an average verbal SAT score of 500.