30 150 25 20 100 15 10 5 50 10 15 20 25 30 35 50 100 150 200 x (age of calf (in weeks)) x (age of calf (in weeks)) 200 35 30 150 25 20 100 15 10 > 5 50 OF 5. 10 15 20 25 30 35 50 100 150 200 x (age of calf (in weeks)) X (age of calf (in weeks)) (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 four decimal places. Round your answers for the percentages to two decimal place.) explained % unexplained % (f) The calves you want to buy are 21 weeks old. What does the least-squares line predict for a healthy weight? (Round your answer to two decimal places.) kg y (calf weight (in kilograms)) y (calf weight (in kilograms) y (calf weight (in kilograms)) y (calf weight (in kilograms))
30 150 25 20 100 15 10 5 50 10 15 20 25 30 35 50 100 150 200 x (age of calf (in weeks)) x (age of calf (in weeks)) 200 35 30 150 25 20 100 15 10 > 5 50 OF 5. 10 15 20 25 30 35 50 100 150 200 x (age of calf (in weeks)) X (age of calf (in weeks)) (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 four decimal places. Round your answers for the percentages to two decimal place.) explained % unexplained % (f) The calves you want to buy are 21 weeks old. What does the least-squares line predict for a healthy weight? (Round your answer to two decimal places.) kg y (calf weight (in kilograms)) y (calf weight (in kilograms) y (calf weight (in kilograms)) y (calf weight (in kilograms))
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
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
3.
11
16
26
36
45
53
72
100
150
200
n USE SALT
Complete parts (a) through (e), given Ex = 93, Ey = 620, Ex = 2359, Ey = 82,518, Exy = 13,696, and r 0.9931.
%D
(a) Draw a scatter diagram displaying the data.
35
35
25
25
E 20
20
15
15
10
10
5
50
100
150
200
50
100
150
200
x (age of calf (in weeks))
x (age of calf (in weeks))
200
150
100
50
10
15
20
25
30
35
x(age of calf (in weeks))
200
ams))
y (calf weight (in kilograms))
y(calf weight (in kilograms))
30
y (calf weight (in kilograms))
30
Transcribed Image Text:30
150
25
20
15
100
10
50
10
15
20
25
35
50
100
150
200
x (age of calf (in weeks))
x (age of calf (in weeks))
200
35
30
150
25
20
15
100
10
5
50
10
15
20
25
30
35
50
100
150
200
x (age of calf (in weeks))
x (age of calf (in weeks))
(e) Find the value of the coefficient of determination r. 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 r to four decimal places. Round your answers for the percentages to two decimal place.)
12 =
%3D
explained
unexplained
(f) The calves you want to buy are 21 weeks old. What does the least-squares line predict for a healthy weight? (Round your answer to two decimal places.)
kg
y (calf weight (in kilograms)
y (calf weight (in kilograms)
5.
30
y (calf weight (in kilograms))
y (calf weight (in kilograms))
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