Mosteller and Tukey (1977) reported data on verbal test scores for sixth graders. They used a sample of 20 Mid-Atlantic and New England schools taken from The Coleman Report. The dependent variable y was the mean verbal test score for each school. The predictor variables were x1 — staff salaries per pupil, x2 — percent of sixth grade fathers employed in white collar jobs, x3 — a composite score measuring socioeconomic status, x4 — the mean score on a verbal test administered to teachers, and x5 — one-half of the sixth grade mothers’ mean number of years of schooling. Schools meet a performance standard set for them

(by me) if their average verbal test score is above 37. The data are given in Table 4.20.

(a) Using logistic regression on the 0-1 scores, find a good model for predicting whether schools meet the standard.

(b) Using standard regression on y, find several of the best predictive models. Compare these to your logistic regression model.