Question
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
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 4 12 16 26 36 y 43 51 76 100 150 200 Find x (in weeks). (Round your answer to four decimal places.) x = ------ weeks Find y (in kg). (Round your answer to four decimal places.) y =------- kg Find the equation of the least-squares line = a + bx. (Round your numerical values to four decimal places.) ------ Find the value of the coefficient of determination r2. (Round your answer to four decimal places.) r2 = What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? (Round your answer to two decimal places.) % What percentage is unexplained? (Round your answer to two decimal places.) % (e) The calves you want to buy are 13 weeks old. What does the least-squares line predict for a healthy weight (in kg)? (Round your answer to two decimal places.) kg
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