The following represents the midterm and final exam scores for 35 randomly selected students from a large mathematics class.

(a) Draw a scatterplot.
(b) Use appropriate transformation (if necessary) to linearize the scatterplot.
(c) Fit the data to an appropriate curve and explain the usefulness.

Midterm: 67 63 39 80 64 95 90 93 2 36 44 66 66 72 34 78 66 68 98 43 74 81 71 86 49 77 63 58 29 33 100 33 55 20 05 67 64 71 25 34 66 28 34 16 27 32 20 14 21 16 62 50 14 61 11 1441 52 35 37 5 43 100 60 50 8 66 90 89 Final: 2