Use the simulated data on peak flow of water used in the exercises in Chapter 5. Use LQ = ln(Q) as the dependent variable with the logarithms of the nine independent variables. Give a complete summary...

Use the simulated data on peak flow of water used in the exercises in Chapter 5. Use LQ = ln(Q) as the dependent variable with the logarithms of the nine independent variables. Give a complete summary of the results for the model you adopted from the backward elimination method in Exercise 7.9. Give the analysis of variance, the partial regression coefficients, their standard errors, and R².

Exercise 7.9

Use the simulated data on peak flow of water used in the exercises in Chapter 5. Use LQ = ln(Q) as the dependent variable with the logarithms of the nine independent variables. Repeat Exercise 7.8 using backward elimination. Use SLS = .10 for elimination of a variable. What subset model is selected? Compute and plot the Cp statistic for the models used and decide on the “best” model. Does backward elimination give the same model as forward selection in Exercise 7.8?

Exercise 7.8

Use the simulated data on peak flow of water used in the exercises in Chapter 5. Use LQ = ln(Q) as the dependent variable with the logarithms of the nine independent variables. Use a forward selection variable selection method to search for an acceptable model for the peak flow data. Use SLE = .50 for entry of a variable into the model. What subset would you select if you used SLE = .15? Compute and plot the C_p
statistic for the models from SLE = .50. What subset model do you select for prediction using C_p?