You are the foreman of the Bar-S cattle ranch in Colorado. A neighboring ranch has calves for sale, and you are going to buy some calves to add to the Bar-S herd. How much should a healthy calf weigh? Let x be the age of the calf (in weeks), and let y be the weight of the calf (in kilograms). 3 8 16 26 36 40 46 71 100 150 200 In USE SALT Complete parts (a) through (e), given Ex = 92, Zy = 607, Ex2= 2310, Ey? = 81,257, Exy = 13,526, and r = 0.9985. (b) Verify the given sums Ex, Ey, Ex , Zy-, Exy, and the value of the sample correlation coefficient r. (Round your value for r to four decimal places.) Ex = Ey = Ex2= Ey? = Exy= (c) Find x, and y. Then find the equation of the least-squares line y = a + bx. (Round your answers to four decimal places.) X = y = V = (e) Find the value of the coefficient of determination . What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? What percentage is unexplained? (Round your answer for / to four decimal places. Round your answers for the percentages to two decimal place.) 2 2 explained % unexplained % (f) The calves you want to buy are 12 weeks old. What does the least-squares line predict for a healthy weight? (Round your answer to two decimal places.) kg