Weight (in tons) and fuel economy (in miles/gallon) were measured for a sample of seven diesel trucks. The results are presented below. Weight, r 8.00 24.5 27.00 14.5 28.5 12.75 21.25 Mileage, y 7.69 4.97 4.56 6.49 4.34 6.24 4.45 (a) Given the data provided, find the coefficients for the fitted regression line ŷ = Bo + B₁x. (b) Write down an estimate for the error variance o². (c) Give a 95% confidence interval for E[ŷr = 14] = 3o + 14³₁.
Weight (in tons) and fuel economy (in miles/gallon) were measured for a sample of seven diesel trucks. The results are presented below. Weight, r 8.00 24.5 27.00 14.5 28.5 12.75 21.25 Mileage, y 7.69 4.97 4.56 6.49 4.34 6.24 4.45 (a) Given the data provided, find the coefficients for the fitted regression line ŷ = Bo + B₁x. (b) Write down an estimate for the error variance o². (c) Give a 95% confidence interval for E[ŷr = 14] = 3o + 14³₁.
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
![Weight (in tons) and fuel economy (in miles/gallon) were measured for a sample of seven diesel
trucks. The results are presented below.
Weight, a
8.00
24.5
27.00
14.5
28.5
12.75
21.25
Mileage, y
7.69
4.97
4.56
6.49
4.34
6.24
4.45
(a) Given the data provided, find the coefficients for the fitted regression line
ý = Bot Bi
(b) Write down an estimate for the error variance ².
(c) Give a 95% confidence interval for E[y|x = 14] = 0+148₁.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F42b69b94-d10b-46cb-ad12-15bae27b0741%2Fc86af2b8-ebf7-45f2-a1c5-8cd37329a3eb%2Fmchl9p_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Weight (in tons) and fuel economy (in miles/gallon) were measured for a sample of seven diesel
trucks. The results are presented below.
Weight, a
8.00
24.5
27.00
14.5
28.5
12.75
21.25
Mileage, y
7.69
4.97
4.56
6.49
4.34
6.24
4.45
(a) Given the data provided, find the coefficients for the fitted regression line
ý = Bot Bi
(b) Write down an estimate for the error variance ².
(c) Give a 95% confidence interval for E[y|x = 14] = 0+148₁.
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