1. Almost all U.S. light-rail systems use electric cars that run on tracks built at streetlevel. The Federal Transit Administration claims light-rail is one of the safest modesof travel, with an accident rate of .99 accidents per million passenger miles ascompared to 2.29 for buses. The following data show the miles of track and theweekday ridership in thousands of passengers for six light-rail systems (USA Today,January 7, 2003).CityMiles of TrackRidership (1000s)Cleveland1715Denver1936Portland4078Sacramento2328San Diego5075San Jose3331St. Lois3742d) Develop a 95% confidence interval for the mean weekday ridership for alllight-rail systems with 30 miles of track.e) Suppose that Charlotte is considering construction of a light-rail system with30 miles of track. Develop a 95% prediction interval for the weekdayridership for the Charlotte system. Do you think that the prediction intervalyou developed would be of value to Charlotte planners in anticipating thenumber of weekday riders for their new lightrail system? Explain.Cautions: DO NOT use a regression analysis calculator (Excel, minitab, etc.). You can use acalculator for step-by-step calculations like calculating means, sum of the deviations ofsquares, e.g. but you are not allowed to use a whole regression analysis calculator.

Simple linear regression model: A simple linear regression model is given as y^ = b0 + bx + e…

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).

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

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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

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
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.
Cautions: DO NOT use a regression analysis calculator (Excel, minitab, etc.). You can use a
calculator for step-by-step calculations like calculating means, sum of the deviations of
squares, e.g. but you are not allowed to use a whole regression analysis calculator.

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