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 calf (in kilograms). 3 y 46 2 10 16 26 36 55 79 100 150 200 USE SALT Complete parts (a) through (e), given Ex = 93, Ey = 630, Ex2 = 2341, Ey? = 83,882, Exy = 13,738, and r = 0.9948. (a) Draw a scatter diagram displaying the data. 200 35 30 150 25 y (calf weight (in kilograms)) y (calf weight (in kilograms)) 20 100 15 10 5 10 15 20 25 30 35 50 100 150 200 O x (age of calf (in weeks)) O x (age of calf (in weeks)) 200 150 y (calf weight (in kilograms)) 100 50 5 10 15 20 25 30 35 O x (age of calf (in weeks))50 5 10 15 20 25 30 35 O x (age of calf (in weeks)) 35 30 y (calf weight (in kilograms)) 20 15 10 50 100 150 200 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 = Ex2 = Ey2 = Exy = r = (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 = (d) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line. 200 35 35 30 ilograms)) ilograms)) ilograms)) 150 25150 25 25 20 20 y (calf weight (in kilo y (calf weight (in kilo 100 15 y (calf weight (in kilo 15 10 10 50 5 5 10 15 20 25 30 35 50 100 150 200 50 100 O x (age of calf (in weeks)) O x (age of calf (in weeks)) O x (age of ca 200 150 y (calf weight (in kilograms)) 100 50 5 10 15 20 25 30 35 O x (age of calf (in weeks)) (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 unex your answers for the percentages to two decimal place.) 2 = explained unexplained % (f) The calves you want to buy are 17 weeks old. What does the least-squares line predict for a healthy weight? (Round your answer to two decimal places.) | kg Need Help? Read It