A previous problem discussed the College Board changing the SAT test between 2005 and 2006. The class of 2005 was the last to take the former version of the SAT featuring math and verbal sections. The file titled MathSAT contains the math SAT scores for the interval 1967 to 2005. One point of interest concerning the data is the relationship between the average scores of male and female students.
a. Produce a scatter plot depicting the relationship between the average math SAT score of males (the dependent variable) and females (independent variable) over the period 1967 to 2005. Describe the relationship between these two variables.
b. Is there a linear relationship between the average score for males and females over the period 1967 to 2005? Use a significance level of 0.05 and the p -value approach to determine this.