Ona took a random sample of 202020 soccer teams across Europe, and tracked the average number of goals each team scored per match, and how many total matches each team won, in the 2014\,\text{-}\,20152014-20152014, start text, negative, end text, 2015 season. Here is computer output from a least-squares regression analysis on her sample: Predictor Coef SE Coef T P
Constant -3.64−3.64minus, 3, point, 64 1.541.541, point, 54 -2.36−2.36minus, 2, point, 36 0.030.030, point, 03
Goals 14.0214.0214, point, 02 1.151.151, point, 15 12.1712.1712, point, 17 0.000.000, point, 00
\text{S}=1.951S=1.951start text, S, end text, equals, 1, point, 951 \text{R-sq}=88.56\%R-sq=88.56%start text, R, negative, s, q, end text, equals, 88, point, 56, percent
Assume that all conditions for inference have been met.
Which of these is a 99\%99%99, percent confidence interval for the slope of the least squares regression line?
14.02±2.552(1.15)14, point, 02, plus minus, 2, point, 552, left parenthesis, 1, point, 15, right parenthesis

(Choice B)
B
14.02\pm 2.576(1.15)14.02±2.576(1.15)14, point, 02, plus minus, 2, point, 576, left parenthesis, 1, point, 15, right parenthesis

(Choice C)
C
14.02\pm 2.878(1.15)14.02±2.878(1.15)14, point, 02, plus minus, 2, point, 878, left parenthesis, 1, point, 15, right parenthesis

(Choice D)
D
-3.64\pm 2.576(1.54)−3.64±2.576(1.54)minus, 3, point, 64, plus minus, 2, point, 576, left parenthesis, 1, point, 54, right parenthesis

(Choice E)
E
-3.64\pm 2.878(1.54)−3.64±2.878(1.54)minus, 3, point, 64, plus minus, 2, point, 878, left parenthesis, 1, point, 54, right parenthesis