16. A researcher determined that the correlation between statistics grades and scores on a graduate school admissions test is r = +.41.

(a) The Sy = 3.90. Compute the standard error of the estimate,

(b) If the researcher predicts the overall mean on the admissions test for each student, using variance how much error can she expect?

(c) If the researcher predicts admissions test scores using the regression equation and statistics grades, using variance how much error can she expect?

(d) What proportion of the error in part

(b) remains even after using the regres¬ sion equation?

(e) What proportion of the error in part

(b) is eliminated by using the regression equation?

(f) What is your answer in part

(e) called?