Question: Predicting SAT verbal scores.We have been developing models for SAT math scores for two different clusters of states. Use the SAT data to evaluate similar

Predicting SAT verbal scores.We have been developing models for SAT math scores for two different clusters of states. Use the SAT data to evaluate similar models for SAT verbal scores. The file eg27-11.dat contains the data.

(a) Find the least-squares line for predicting SAT verbal scores from percent taking the exam.

(b) Plot SAT verbal score versus percent taking the exam, and add the leastsquares line to your plot.

(c) Are you happy with the fit of your model? Comment on the value of R2 and the residual plots.

(d) Fit a model with two regression lines. Identify the two lines, parameter estimates, t statistics, and corresponding P-values. Does this model improve the fit?

(e) Specify and fit the model suggested by the inferences for the model in part (d). Identify the two lines, parameter estimates, t statistics, and corresponding P-values. Are you happy with the fit of this model? Explain.

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