The SAT2010 data file on the text CD contains average reading and math SAT scores for each of the 50 states and Washington D.C. Let the explanatory variable x = reading and the response variable y = math. The regression equation is ŷ = 18.1 + 0.975x.
a. California had an average reading score of 501. Use the regression equation to predict the average math score for California.
b. Calculate the residual associated with California and comment on its value in the context of the problem.
c. Does it appear that a state’s average reading score is a reliable predictor of its average math score?