Find the linear regression equation explaining dog's life span (y) as a linear function of weight (w) and blood pressure (p): ý = bo + b1 + b2p. Also compute the inferential statistics discussed in lecture. Breed Weight w (lb) Blood pressure p (mmHg) Life span y (years) 1. Set up the data matrix X = #1 2. Compute (XTX)-1 Chihuahua Beagle Border Collie 4 23 77 128 15 13 = (1) 37 146 12 #2 Afghan Hound 51 149 11 and construct X in a way such that B = [bo] is obtained in accordance with Eq. (1). Arrange the components of the vectors as 3. Using the normal equation, compute the regression coefficients bo = and b₂ = #5 Chihuahua Beagle Border Collie Afghan Hound] = #3 b₁ #4 4. Write down the regression equation, and predict the life span of a dog whose weight is 30lb and average blood pressure is 128 mmHg. Expected life span #6 years.
Find the linear regression equation explaining dog's life span (y) as a linear function of weight (w) and blood pressure (p): ý = bo + b1 + b2p. Also compute the inferential statistics discussed in lecture. Breed Weight w (lb) Blood pressure p (mmHg) Life span y (years) 1. Set up the data matrix X = #1 2. Compute (XTX)-1 Chihuahua Beagle Border Collie 4 23 77 128 15 13 = (1) 37 146 12 #2 Afghan Hound 51 149 11 and construct X in a way such that B = [bo] is obtained in accordance with Eq. (1). Arrange the components of the vectors as 3. Using the normal equation, compute the regression coefficients bo = and b₂ = #5 Chihuahua Beagle Border Collie Afghan Hound] = #3 b₁ #4 4. Write down the regression equation, and predict the life span of a dog whose weight is 30lb and average blood pressure is 128 mmHg. Expected life span #6 years.
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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Please assist to solve quesions #1-#6 from the attached image.
Need to use matrix to solve Ordinary Least Squares (OLS) Regression
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![Find the linear regression equation explaining dog's life span (y) as a linear function of weight
(w) and blood pressure (p):
ý = bo+bưu + b2p.
Also compute the inferential statistics discussed in lecture.
Breed
Weight w (lb)
Blood pressure p (mmHg)
Life span y (years)
Chihuahua Beagle Border Collie
4
23
77
128
15
13
1. Set up the data matrix X = #1
and construct X in a way such that B
2. Compute (XTX)-¹ = #2
(1)
37
146
12
Afghan Hound
51
149
11
Arrange the components of the vectors as
Chihuahua
Beagle
Border Collie
Afghan Hound
[bo] is obtained in accordance with Eq. (1).
3. Using the normal equation, compute the regression coefficients bo
and b₂ = #5
= #3 b₁ = #4
4. Write down the regression equation, and predict the life span of a dog whose weight is
30lb and average blood pressure is 128 mmHg. Expected life span = #6 years.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fda31a9ad-5109-461f-b9f7-3c5a1003591e%2F861a3275-d862-48bb-a342-935071ed0337%2F93jfe4_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Find the linear regression equation explaining dog's life span (y) as a linear function of weight
(w) and blood pressure (p):
ý = bo+bưu + b2p.
Also compute the inferential statistics discussed in lecture.
Breed
Weight w (lb)
Blood pressure p (mmHg)
Life span y (years)
Chihuahua Beagle Border Collie
4
23
77
128
15
13
1. Set up the data matrix X = #1
and construct X in a way such that B
2. Compute (XTX)-¹ = #2
(1)
37
146
12
Afghan Hound
51
149
11
Arrange the components of the vectors as
Chihuahua
Beagle
Border Collie
Afghan Hound
[bo] is obtained in accordance with Eq. (1).
3. Using the normal equation, compute the regression coefficients bo
and b₂ = #5
= #3 b₁ = #4
4. Write down the regression equation, and predict the life span of a dog whose weight is
30lb and average blood pressure is 128 mmHg. Expected life span = #6 years.
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