Question

# You are the foreman of the Bar-S cattle ranch in Colorado. A neighboring ranch has calves...

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 3 5 8 16 26 36 y 46 53 73 100 150 200

Complete parts (a) through (e), given Σx = 94, Σy = 622, Σx2 = 2326, Σy2 = 82,754, Σxy = 13,687, and r ≈ 0.998.

(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 three decimal places. Round your answers for the percentages to one decimal place.)

 r2 = explained % unexplained %

first verify the given summation values.  Explained = 99.67 %

Unexplained = 100-99.67 = 0.33 %

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