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...


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

Extracted 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 | San Jose St. Lois 50 75 33 31 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.

Jun 03, 2022
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