Calculate the value of sum xy.

You're on a roll — here are the solutions for questions 14, 15, 16, and 17. 14. Calculate the value of xy. Step 1: Identify the given regression equation and statistical values. The regression equation is y = 11.37395 + 2.82773x. This is in the form y = a + bx, where a = 11.37395 and b = 2.82773. Given: y = 255, y^2 = 8621, x^2 = 480, n = 8. Step 2: Use the normal equation y = na + b x to find x. 255 = (8)(11.37395) + (2.82773) x 255 = 90.9916 + 2.82773 x 255 - 90.9916 = 2.82773 x 164.0084 = 2.82773 x x = (164.0084)/(2.82773) x ≈ 58 Step 3: Use the normal equation xy = a x + b x^2 to find xy. xy = (11.37395)(58) + (2.82773)(480) xy = 659.6901 + 1357.3104 xy = 2017.0005 Rounding to the nearest integer, xy = 2017. The correct option is C. The value of xy is C. 2017. 15. For the data in Question 14, calculate the correlation coefficient. Step 1: State the formula for the correlation coefficient (r). r = (n xy - ( x)( y))/(sqrt([n x^2 - ( x)^2][n y^2 - ( y)^2])) Step 2: Substitute the known values into the formula. From Question 14, we have: n = 8 xy = 2017.0005 x = 58 y = 255 x^2 = 480 y^2 = 8621 Calculate the numerator: n xy - ( x)( y) = 8(2017.0005) - (58)(255) = 16136.004 - 14790 = 1346.004 Calculate the first part of the denominator: n x^2 - ( x)^2 = 8(480) - (58)^2 = 3840 - 3364 = 476 Calculate the second part of the denominator: n y^2 - ( y)^2 = 8(8621) - (255)^2 = 68968 - 65025 = 3943 Step 3: Calculate r. r = (1346.004)/(sqrt((476)(3943))) r = (1346.004)/(sqrt(1877068)) r = (1346.004)/(1369.9007) r ≈ 0.98255 Rounding to three decimal places, r ≈ 0.983. The closest option is 0.982. The correct option is B. The correlation coefficient is B. 0.982. 16. Which team's points scored shows greater variability throughout the season. Step 1: Understand that variability relative to the mean is measured by the Coefficient of Variation (CV). The formula for the Coefficient of Variation is: CV = Standard DeviationMean