Using your EAEF data set, regress LGEARN (1) on S and ASVABC, (2) on S only, and (3) on ASVABC only. Calculate the correlation between S and ASVABC. Compare the coefficients of S in regressions (1) and (2). Give both mathematical and intuitive explanations of the direction of the change. Also compare the coefficients of ASVABC in regressions (1) and (3) and explain the direction of the change.