foreman of the Bar-S cattle ranch in Colorado. A neighboring ranch has calves for sale, and you are going to buy some ca

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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 d 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). х 200 1 3 12 16 26 36 y 43 45 75 100 150 arts (a) through (e), given Ex = 94, 2y = 613, Ex2 = 2382, Ey2 = 81,999, Exy = 13,778, and rx 0.995. Draw a scatter diagram displaying the data. 210- Graph Layers 298 190 180 After you add an object to the graph you can use Graph Layers to view and edit its properties. 178 160 Fill O V 156 140 -130 120 110 No 100 Solution 90 80 70 60 50 40
y the given sums 2x, Ly, Ex}, y, Exy, and the value of the sample correlation coefficient r. (Round your value for r to three decimal places.) x, and y. Then find the equation of the least-squares line û = a + bx. (Round your answers for x and y to two decimal places. Round your answers for three decimal places.) Х
(d) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line. y у 200 200 150 150 100 100 50 50 х 10 20 30 X 40 10 20 30 40 у у 200 200 150 150 100 100 50 50 х X 10 20 40 30 10 An 20 30
(e) Find the value of the coefficient of determination r. 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 three decimal places. Round your answers for the percentages to one decimal place.) % explained unexplained % (f) The calves you want to buy are 24 weeks old. What does the least-squares line predict for a healthy weight? (Round your answer to two decimal places.) kg