(b) Verify the given sums Ex, Ey, Ex, Ey, Exy, and the value of the sample correlation coefficient r. (Round your value for r to three decimal places.) Ex -92 Ey -617 Ex -2336 Ey - 82455 Exy - 13634 (c) Find x, and y. Then find the equation of the least-squares line ý -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- 15.333 y=102 833 ý- 33.681 4.510 (d) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line. y 200 200 150 150 100 100 50 50 10 20 30 40 10 20 30 40 y y 200 200 150 150 100 100 50 50 10 20 30 40 10 20 30 40 (e) Find the value of the coefficient of determination. 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 to three decimal places. Round your answers for the percentage one decimal place.) explained unexplained (1) 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.) Okg
(b) Verify the given sums Ex, Ey, Ex, Ey, Exy, and the value of the sample correlation coefficient r. (Round your value for r to three decimal places.) Ex -92 Ey -617 Ex -2336 Ey - 82455 Exy - 13634 (c) Find x, and y. Then find the equation of the least-squares line ý -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- 15.333 y=102 833 ý- 33.681 4.510 (d) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line. y 200 200 150 150 100 100 50 50 10 20 30 40 10 20 30 40 y y 200 200 150 150 100 100 50 50 10 20 30 40 10 20 30 40 (e) Find the value of the coefficient of determination. 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 to three decimal places. Round your answers for the percentage one decimal place.) explained unexplained (1) 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.) Okg
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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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 =192
Ey =|617
Ex2 =|2336
Ey?
=82455
Exy =|13634
r
0.995
(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 = 15.333
y = |102.833
ý = 33.681
4.510
(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
10
20
30
40
10
20
30
40
(e) Find the value of the coefficient of determination . 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.)
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
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