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? Letx be the age of the calf (ll'l weeks). and let y be the weight of the calf (in kilograms). 36 4D 46 71 [DD 150 ZED Complete parts (a) through (e), given Ex : 93. 2y : 607, Ex: : 2335. 2y: : I1.257. Exy : 13,609, and re 0.997. (5) Draw a scatter diagram displaying the data. IEJWWEE J (b) verify the given sums 2):, 2y. 2x2. Era. in, and the value of the sample correlation coefcient r. (Round your value for r to three decimal places.) (c) Find E. and F. Then nd the equation of the least-squares line i! = a + bx. (Round your answers for E and F to two decimal places. Round your answers for a and b to three decimal places.) : : :+:x 'l XI || {d} Graph the least-squares line. Be sure to plot the point {21;} as a paint on the line. Y 200 150 100 50 20 _ 150 100 50 Y 200 150 100 50 K '10 Y 20 30 40 200 1.50 100 50 I '10 20 30 40 (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 2 to three decimal places. Round your answers for the percentages to one decimal place.) 12 =1 explained % unexplained % (f) The calves you want to buy are 16 weeks old. What does the least-squares line predict for a healthy weight? (Round your answer to two decimal places.) kg