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, Σx^{2} = 2326, Σy^{2} = 82,754, Σxy = 13,687, and r ≈ 0.998.
(e) Find the value of the coefficient of determination r^{2}. 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 r^{2} to three decimal places. Round your answers for the percentages to one decimal place.)
r^{2} = | |
explained | % |
unexplained | % |
first verify the given summation values.
Explained = 99.67 %
Unexplained = 100-99.67 = 0.33 %
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