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Find the value of the coefficient of determination

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Reference no: EM132843591

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 2 8 16 26 36

y 40 49 77 100 150 200

(b) Find x, and y. Then find the equation of the least-squares line y = a + bx. (Round your answers for x and y to two decimal places. Round your answers for a and b to three decimal places.)

x=
y=

y=

c) 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 %

d) The calves you want to buy are 17 weeks old. What does the least-squares line predict for a healthy weight? (Round your answer to two decimal places.)

Reference no: EM132843591

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