Letxbe a random variable that represents the percentage of successful free throws a professional basketball player makes in a season. Letybe a random variable that represents the percentage of successful field goals a professional basketball player makes in a season. A random sample ofn= 6 professional basketball players gave the following information.

x 86 70 80 76 70 67

y 57 43 46 50 50 41

Given thatSe 4.075,a 16.319,b0.435, and, x =449, y =287,x2=33,861, and y2=13,895, find a 99% confidence interval forywhenx= 72.