(c) Find x, and y. Then find the equation of the least-squares line y = a + bx. (For each answer, enter a number. Round your answers for x and y to two decimal places. Round your answers for a and b to three decimal places.) 5:14:19 х3 y = ý = %3D х (d) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line. (Select the correct graph.) y У У y 200 200 200 200 150 150 150 150 100 100 100 100 50 50 50 х х х х 20 30 20 30 40 10 20 30 40 30 10 40 10 10 20 (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 r 2 to three decimal places. Round your answers for the percentages to one decimal place.) explained = unexplained = (f) The calves you want to buy are 10 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

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Matrices
Section2.CR: Review Exercises
Problem 89CR: Cellular Phone Subscribers The table shows the numbers of cellular phone subscribers y in millions...
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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).

x 1 5 11 16 26 36
y 39 47 73 100 150 200

 

(c) Find x, and y. Then find the equation of the least-squares line y = a + bx. (For each answer, enter a number. Round your answers for x and y to two decimal places. Round your answers for a and b to three decimal places.)
5:14:19
х3
y =
ý =
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(d) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line. (Select the correct graph.)
y
У
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y
200
200
200
200
150
150
150
150
100
100
100
100
50
50
50
х
х
х
х
20
30
20
30
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10
20
30
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10
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(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 r
2 to three decimal places. Round your answers for the percentages to one decimal place.)
explained =
unexplained =
(f) The calves you want to buy are 10 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:(c) Find x, and y. Then find the equation of the least-squares line y = a + bx. (For each answer, enter a number. Round your answers for x and y to two decimal places. Round your answers for a and b to three decimal places.) 5:14:19 х3 y = ý = %3D х (d) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line. (Select the correct graph.) y У У y 200 200 200 200 150 150 150 150 100 100 100 100 50 50 50 х х х х 20 30 20 30 40 10 20 30 40 30 10 40 10 10 20 (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 r 2 to three decimal places. Round your answers for the percentages to one decimal place.) explained = unexplained = (f) The calves you want to buy are 10 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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