A pair of dice is tossed several times, and the number of doubles is recorded. The experiment is repeated with a different number of trials each time. The results are shown in the following table.

Two-Die Toss Number of Tosses l Number of Doubles

10 l 2

20 l 2

30 l 5

40 l 6

50 l 7

60 l 9

70 l 12

80 l 13

90 l 16

100 l 15

a) Create a graph to display these data.

b) Determine a linear regression equation and use it to predict the probability of rolling doubles after 45 tosses.