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). 1 39 11 73 16 100 26 150 36 200 47 Complete parts (a) through (e), given Ex = 95, Ey = 609, Ex? = 2375, Ey? = 81,559, Ex y = 13,777, and r= 0.997.

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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).
1
11
16
26
36
39
47
73
100
150
200
Complete parts (a) through (e), given Ex = 95, Ey = 609, Ex² = 2375, Ey? = 81,559, Ex y = 13,777, and rz 0.997.
Transcribed Image Text: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). 1 11 16 26 36 39 47 73 100 150 200 Complete parts (a) through (e), given Ex = 95, Ey = 609, Ex² = 2375, Ey? = 81,559, Ex y = 13,777, and rz 0.997.
(d) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line. (Select the correct graph.)
СноICE A
СHOICE B
y
y
200
200
150
150
100
100
50
50
X
X
10
20
30
40
10
20
30
40
СHOICE C
y
СHOICE D
200
200
150
150
100
100
50
50
X
10
20
30
40
10
20
30
40
(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? (For each answer, enter a number. Round your answer for r² to three decimal places. Round your answers for the percentages to one decimal place.)
p2 =
explained =
%
unexplained =
%
(f) The calves you want to buy are 11 weeks old. What does the least-squares line predict for a healthy weight (in kg)? (Enter a number. Round your answer to two decimal places.)
kg
Transcribed Image Text:(d) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line. (Select the correct graph.) СноICE A СHOICE B y y 200 200 150 150 100 100 50 50 X X 10 20 30 40 10 20 30 40 СHOICE C y СHOICE D 200 200 150 150 100 100 50 50 X 10 20 30 40 10 20 30 40 (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? (For each answer, enter a number. Round your answer for r² to three decimal places. Round your answers for the percentages to one decimal place.) p2 = explained = % unexplained = % (f) The calves you want to buy are 11 weeks old. What does the least-squares line predict for a healthy weight (in kg)? (Enter a number. Round your answer to two decimal places.) kg
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