Scores for both males and females for the period 1972-2007.
a. You want to predict the male math score (Y) on the basis of the male verbal score (X). Develop a suitable linear regression model and estimate its parameters.
b. Interpret your regression results.
c. Reverse the roles of Y and X and regress the verbal score on the math score. Interpret this regression
d. Let a2be the slope coefficient in the regression of the math score on the verbal score and let b2be the slope coefficient of the verbal score on the math score. Multiply these two values. Compare the resulting value with the r2 obtained from the regression of math score on verbal score or the r2value obtained from the regression of verbal score on math score. What conclusion can you draw from this exercise?
For Information: Table 2-15 gives data on verbal and math S.A.T.