The table presents the highway gasoline mileage performance and engine displacement for DaimlerChrysler vehicles for model year 2005 (U.S. Environmental protection Agency). Engine Displacement (in³) 215 MPG (highway) 201 196 226 226 348 226 348 148 226 122 215 215 148 500 348 165 148 148 500 148 30.8 32.5 35.4 28.1 24.4 24.1 28.5 24.2 32.8 28.0 41.3 30.0 28.2 34.1 18.7 20.3 35.1 37.9 33.8 25.9 26.4 (a) Find a 95% confidence interval for the slope. Round your answers to three decimal places (e.g. 98.765). -0.056 < B₁ ≤ -0.024 (b) Find a 95% confidence interval for the intercept. Round your answers to two decimal places (e.g. 98.76). 34.96 < ßo ≤ 43.35 (c) Find a 95% confidence interval for the mean highway gasoline mileage when the engine displacement is x = 134 in³. Round I your answers to one decimal place (e.g. 98.7). ! MY|x=134 i (d) Construct a 95% prediction interval on highway gasoline mileage when the engine displacement is x = 134 in³. Round your answers to one decimal place (e.g. 98.7). i ! ≤ yo≤ i

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
The table presents the highway gasoline mileage performance and engine displacement for DaimlerChrysler vehicles for model year 2005 (U.S. Environmental protection Agency).
Engine Displacement (in³) 215
MPG (highway)
201 196 226
226 348
226 348 148 226 122 215 215 148 500 348 165 148 148 500 148
30.8 32.5 35.4 28.1 24.4 24.1
28.5 24.2 32.8 28.0 41.3 30.0 28.2 34.1
18.7 20.3 35.1 37.9 33.8 25.9 26.4
(a) Find a 95% confidence interval for the slope.
Round your answers to three decimal places (e.g. 98.765).
-0.056
< B₁ ≤
-0.024
(b) Find a 95% confidence interval for the intercept.
Round your answers to two decimal places (e.g. 98.76).
34.96
< ßo ≤
43.35
(c) Find a 95% confidence interval for the mean highway gasoline mileage when the engine displacement is x = 134 in³.
Round
I your answers to one decimal place (e.g. 98.7).
!
MY|x=134
i
(d) Construct a 95% prediction interval on highway gasoline mileage when the engine displacement is x = 134 in³.
Round your answers to one decimal place (e.g. 98.7).
i
!
≤ yo≤ i
Transcribed Image Text:The table presents the highway gasoline mileage performance and engine displacement for DaimlerChrysler vehicles for model year 2005 (U.S. Environmental protection Agency). Engine Displacement (in³) 215 MPG (highway) 201 196 226 226 348 226 348 148 226 122 215 215 148 500 348 165 148 148 500 148 30.8 32.5 35.4 28.1 24.4 24.1 28.5 24.2 32.8 28.0 41.3 30.0 28.2 34.1 18.7 20.3 35.1 37.9 33.8 25.9 26.4 (a) Find a 95% confidence interval for the slope. Round your answers to three decimal places (e.g. 98.765). -0.056 < B₁ ≤ -0.024 (b) Find a 95% confidence interval for the intercept. Round your answers to two decimal places (e.g. 98.76). 34.96 < ßo ≤ 43.35 (c) Find a 95% confidence interval for the mean highway gasoline mileage when the engine displacement is x = 134 in³. Round I your answers to one decimal place (e.g. 98.7). ! MY|x=134 i (d) Construct a 95% prediction interval on highway gasoline mileage when the engine displacement is x = 134 in³. Round your answers to one decimal place (e.g. 98.7). i ! ≤ yo≤ i
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman