Reference no: EM13582888
Transit Administration, light-rail is one of the safest modes oftravel, with an accident rate of .99 accidents per million passenger miles as comparedto 2.29 for buses. The following data show the miles of track and the weekday ridershipin thousands of passengers for selected light-rail systems (USA Today, January 7, 2003). City Miles RidersLos Angeles 22 70San Diego 47 75Portland 38 81Sacramento 21 31San Jose 31 30San Francisco 73 164Philadelphia 69 84Boston 51 231Denver 17 35Salt Lake City 18 28Dallas 44 39New Orleans 16 14St. Louis 34 42Pittsburgh 18 25Buffalo 6 23Cleveland 15 15Newark 9 8
a. Develop a scatter diagram for these data, treating the number of miles of track as theindependent variable. Does a simple linear regression model appear to be appropriate?
b. Use a simple linear regression model to develop an estimated regression equationto predict the weekday ridership given the miles of track. Construct a standardizedresidual plot. Based upon the standardized residual plot, does a simple linear regressionmodel appear to be appropriate?
c. Perform a logarithmic transformation on the dependent variable. Develop an estimatedregression equation using the transformed dependent variable. Do the model assumptions appear to be satisfied by using the transformed dependent variable?
d. Perform a reciprocal transformation on the dependent variable. Develop an estimated regression equation using the transformed dependent variable.
e. What estimated regression equation would you recommend? Explain