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 ofprofessional basketball players gave the following information.

X: 85, 85, 88, 69, 65, 85

Y: 57, 48, 59, 47, 43, 58

Given that Se=4.144, a=5.796, b=0.581, and x=79.500 find a 90% confidence interval for(slope of the population regression line) and interpret its meaning.

A)The 90% confidence interval forBis from 0.180 to 0.983 and means that for every percentage increase in successful free throws, there is 90% confidence that the percentage of successful field goals increases by an amount between 0.18 and 0.98.

B) The 90% confidence interval forBis from 0.200 to 0.962 and means that for every percentage increase in successful free throws, there is 90% confidence that the percentage of successful field goals increases by an amount between 0.20 and 0.96.

C) The 90% confidence interval forBis from 0.216 to 0.947 and means that for every percentage increase in successful free throws, there is 90% confidence that the percentage of successful field goals increases by an amount between 0.22 and 0.95.

D) The 90% confidence interval forBis from 0.057 to 1.105 and means that for every percentage increase in successful free throws, there is 90% confidence that the percentage of successful field goals increases by an amount between 0.06 and 1.11.

E) The 90% confidence interval forB is from 0.271 to 0.891 and means that for every percentage increase in successful free throws, there is 90% confidence that the percentage of successful field goals increases by an amount between 0.27 and 0.89.