The following data are for freshman students at Spartan University:

(a) Write the raw-score regression equation for predicting Y from X.

(b) John and Will score 485 and 710, respectively, on the aptitude test.Predict the freshman GPA for each.

(c) What assumption is necessary for this prediction to be valid?

(d) What is the value of the standard error of estimate of Y on X?

(e) For students whose aptitude scores are the same as John's:What proportion will be expected to obtain a GPA equal to the freshman mean or better?

(f) What proportion will be expected to obtain a GPA of 2.0 or lower?

(g) Within what central GPA limits will 95% of students with aptitude scores equal to John's be likely to be found? For students whose aptitude score is the same as Will's:

(h) What proportion will be expected to obtain a GPA equal to 2.5 or better?

(i) What proportion will be expected to obtain a GPA of 3.0 or lower?

(j) Within what central GPA limits will 50% of students with aptitude scores equal to Will's be likely to be found?

(k) What assumptions are necessary for the answers to (e)-(j) to be valid?