In a fisheries researcher's experiment, the correlation between the number of eggs in the nest and the number of viable (surviving) eggs for a sample of nests is r=0.64. The equation of the regression line for number of viable eggs (y)versus number of eggs in the nest (x) is y=0.72x+17.02.

a)What is the coefficient of determination for this regression?

b)Interpret the coefficient of determination in the context of the problem.