(e) Find the value of the coefficient of determination r2. 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 r2 to four decimal places. Round your answers for the percentages to two decimal place.)r2 = explained %unexplained %(f) The calves you want to buy are 14 weeks old. What does the least-squares line predict for a healthy weight? (Round your answer to two decimal places.) kg

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). * 47 36 80 100 150 200 LA USE SALT Complete parts (a) through (e), given Ex = 93, Ey = 629, Ex- = 2327, Ey" = 83,813, Exy = 13,717, and r = 0.9973. (a) Draw a scatter diagram displaying the data. 35 y (calf weight (in kilograms)) 100 120 140 160 180 200 O x (age of calf (in weeks)) y (calf weight (in kilograms)) 60 80 100 120 140 160 180 200 O x (age of calf (in weeks)) 150 y (calf weight (in kilograms)) 100 30 10 15 20 25 30 35 O x (age of calf (in weeks)) 200 150 y (calf weight (in kilograms)) 100 5 10 15 20 25 30 35 O x (age of calf (in weeks)) (b) Verify the given sums Ex, Ey, Ex?, Ey?, Exy, and the value of the sample correlation coefficient r. (Round your value for r to four decimal places.) Ex Zy = Ex? = Ey2 = 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.) (d) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line