In a certain class, midterm score averages out 70 with an SD of 15, as do scores on the final. The correlation between midterm scores and final...

In a certain class, midterm score averages out 70 with an SD of 15, as do scores on the final. The correlation between midterm scores and final scores is about 0.40. The scatter diagram is football-shaped.

      a. Predict the final score for a student whose midterm score is

          (i) 75   (ii) 30   (ii)  60  (iv) unknown

      b. Predict the midterm score for a student whose final score is 45.

      c. Apparently low-scoring students on the midterm do better on the final, but low –   

         scoring student on the final did better on the midterm. How is this possible?