Almost all U.S. light-rail systems use electric cars that run on tracks built at street level. The Federal Transit Administration claims light-rail is one of the safest modes of travel, with an accident rate of .99 accidents per million passenger miles as compared to 2.29 for buses. The following data show the miles of track and the weekday ridership in thousands of passengers for six light-rail systems (USA Today, January 7, 2003).

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
Topic Video
Question

Just calculate to part c, d and e with detail. 

1. Almost all U.S. light-rail systems use electric cars that run on tracks built at street
level. The Federal Transit Administration claims light-rail is one of the safest modes
of travel, with an accident rate of.99 accidents per million passenger miles as
compared to 2.29 for buses. The following data show the miles of track and the
weekday ridership in thousands of passengers for six light-rail systems (USA Today,
January 7, 2003).
City
Miles of Track
Ridership (1000s)
Cleveland
17
15
Denver
19
36
Portland
40
78
Sacramento
23
28
San Diego
50
75
San Jose
33
31
St. Lois
37
42
a) Develop a scatter diagram for these data. Does a linear relationship appear
reasonable? Explain.
b) Develop the least squares estimated regression equation. Include a table like
the one in the Lecture notes 13, Table 14.2.
c) Did the estimated regression equation provide a good fit? Explain.
d) Develop a 95% confidence interval for the mean weekday ridership for all
light-rail systems with 30 miles of track.
e) Suppose that Charlotte is considering construction of a light-rail system with
30 miles of track. Develop a 95% prediction interval for the weekday
ridership for the Charlotte system. Do you think that the prediction interval
you developed would be of value to Charlotte planners in anticipating the
number of weekday riders for their new lightrail system? Explain.
Transcribed Image Text:1. Almost all U.S. light-rail systems use electric cars that run on tracks built at street level. The Federal Transit Administration claims light-rail is one of the safest modes of travel, with an accident rate of.99 accidents per million passenger miles as compared to 2.29 for buses. The following data show the miles of track and the weekday ridership in thousands of passengers for six light-rail systems (USA Today, January 7, 2003). City Miles of Track Ridership (1000s) Cleveland 17 15 Denver 19 36 Portland 40 78 Sacramento 23 28 San Diego 50 75 San Jose 33 31 St. Lois 37 42 a) Develop a scatter diagram for these data. Does a linear relationship appear reasonable? Explain. b) Develop the least squares estimated regression equation. Include a table like the one in the Lecture notes 13, Table 14.2. c) Did the estimated regression equation provide a good fit? Explain. d) Develop a 95% confidence interval for the mean weekday ridership for all light-rail systems with 30 miles of track. e) Suppose that Charlotte is considering construction of a light-rail system with 30 miles of track. Develop a 95% prediction interval for the weekday ridership for the Charlotte system. Do you think that the prediction interval you developed would be of value to Charlotte planners in anticipating the number of weekday riders for their new lightrail system? Explain.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 7 steps with 12 images

Blurred answer
Knowledge Booster
Permutation and Combination
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
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