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). x 2 5 12 16 26 36 y 45 49 78 100 150 200 a) 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 = _____% b) The calves you want to buy are 19 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).
x 2 5 12 16 26 36
y 45 49 78 100 150 200
a) 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 = _____%
b) The calves you want to buy are 19 weeks old. What does the least-squares line predict for a healthy weight? (Round your answer to two decimal places.)
_____ kg
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