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(b) Verify the given sums Er, Ey, E, Ey², Exy, and the value of the sample correlation coefficient r. (Round your value for r to three decimal places.) Exy - () Find i, and y. Then find the equation of the least-squares line ý -a+ br. (Round your answers for i and y to two decimal places. Round your answers for a and b to three decimal places.) 9- (4) Graph the least-squares line. Be sure to plot the point K, 7) as a point on the line. 200 200 150 150 100 100 s0 5아 10 40 10 40 200 200 150 150 100 100 s0 50 10 20 30 40 10 20 30 40

(b) Verify the given sums Er, Ey, E, Ey², Exy, and the value of the sample correlation coefficient r. (Round your value for r to three decimal places.) Exy - () Find i, and y. Then find the equation of the least-squares line ý -a+ br. (Round your answers for i and y to two decimal places. Round your answers for a and b to three decimal places.) 9- (4) Graph the least-squares line. Be sure to plot the point K, 7) as a point on the line. 200 200 150 150 100 100 s0 5아 10 40 10 40 200 200 150 150 100 100 s0 50 10 20 30 40 10 20 30 40

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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(b) Verify the given sums Ex, Ey, Ex², Ey², Exy, and the value of the sample correlation coefficient r. (Round your value for r to three decimal places.) Σχ- Ey = Ex? Ey? Σχy r = (c) Find x, and y. Then find the equation of the least-squares line ŷ = 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 = ŷ = (d) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line. y y 200 200 150 150 100 100 50 50 X 10 20 30 40 10 20 30 40 y y 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 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 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 24 weeks old. What does the least-squares line predict for a healthy weight? (Round your answer to two decimal places.) kg
Transcribed Image Text:(b) Verify the given sums Ex, Ey, Ex², Ey², Exy, and the value of the sample correlation coefficient r. (Round your value for r to three decimal places.) Σχ- Ey = Ex? Ey? Σχy r = (c) Find x, and y. Then find the equation of the least-squares line ŷ = 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 = ŷ = (d) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line. y y 200 200 150 150 100 100 50 50 X 10 20 30 40 10 20 30 40 y y 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 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 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 24 weeks old. What does the least-squares line predict for a healthy weight? (Round your answer to two decimal places.) kg
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). 2 10 16 26 36 y 39 53 75 100 150 200 Complete parts (a) through (e), given Σχ92, Σy617, Σχ2336, Σγ282,455, Σχy = 13,634, and r = 0.995.
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). 2 10 16 26 36 y 39 53 75 100 150 200 Complete parts (a) through (e), given Σχ92, Σy617, Σχ2336, Σγ282,455, Σχy = 13,634, and r = 0.995.
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