Please answer this question

Let x be a random variable that represents the percentage of successful free throws a professional basketball player makes in a season. Let y be a random variable that represents the percentage of successful field goals a professional basketball player makes in a season. A random sample of n = 6 professional basketball players gave the following information. 69 66 63 65 76 76 54 53 51 43 47 45 Verify that Se ~ 4.739, a ~ 67.050, b ~-0.263, and x = 69.167, Ex =415, Zy =293, Ex- =28,863, and Eve =14,409, and find a 90% confidence interval for B and interpret its meaning. Round your final answers to three decimal places. The 90% confidence interval for B is from -0.993 to 0.466 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 -0.99 and 0.47. The 90% confidence interval for B is from -0.882 to 0.355 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 -0.88 and 0.36. The 90% confidence interval for B is from -1.065 to 0.539 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 -1.07 and 0.54. The 90% confidence interval for B is from -1.309 to 0.782 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 -1.31 and 0.78. The 90% confidence interval for B is from -1.023 to 0.496 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 -1.02 and 0.50