eBook Almost all U.S. light-rail systems use electric cars thatrun on tracks built at street level. The Federal TransitAdministration claims light-rail is one of the safest modes oftravel, with an accident rate of .99 accidents per millionpassenger miles as compared to 2.29 for buses. The following datashow the miles of track and the weekday ridership in thousands ofpassengers for six light-rail systems.
| City | Miles ofTrack | Ridership(1000s) |
| Cleveland | 17 | 17 |
| Denver | 19 | 37 |
| Portland | 40 | 83 |
| Sacramento | 23 | 33 |
| San Diego | 49 | 77 |
| San Jose | 33 | 32 |
| St. Louis | 36 | 44 a) Use these data to develop an estimated regression equationthat could be used to predict the ridership given the miles oftrack.
Compute b0 and b1 (to 2 decimals). Complete the estimated regression equation (to 2decimals).
b) Compute the following (to 1 decimal): c) What is the coefficient of determination (to 3 decimals)?Note: report r2 between 0 and 1.
Does the estimated regression equation provide a good fit? d) Develop a 95% confidence interval for the mean weekdayridership for all light-rail systems with 30 miles of track (to 1decimal). e) Suppose that Charlotte is considering construction of alight-rail system with 30 miles of track. Develop a 95% predictioninterval for the weekday ridership for the Charlotte system (to 1decimal).
Do you think that the prediction interval you developed would be ofvalue to Charlotte planners in anticipating the number of weekdayriders for their new light-rail system?
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