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?...

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).

Extracted text: 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). 1 4 12 16 26 36 40 49 79 100 150 200 (c) Find x, and y. Then find the equation of the least-squares line ŷ = a + bx. (Round your answers to four decimal places.) x = y= (d) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line. y y 200 200 150 150 b a 100 100 50 50 10 20 30 40 10 20 30 40 y y 200 200 d 150 150 100 100 50 50 X 10 20 30 40 10 20 30 40 (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 place Round your answers for the percentages to two decimal place.) 2 = explained unexplained % (f) The calves you want to buy are 22 weeks old. What does the least-squares line predict for a healthy weight? (Round your answer to two decimal places.) kg