LIZARDS Data: Site Diameter Height Time grahami opalinus 1 Sun D <= 2 H < 5 Early 20 2 2 Sun D <= 2 H < 5 Mid-day 8 1 3 Sun D <= 2 H < 5 Late 4 4 4 Sun D <= 2 H >= 5 Early 13 0 5 Sun D <= 2 H >= 5 Mid-day 8 0 6 Sun D <= 2 H >= 5 Late 12 0 7 Sun D > 2 H < 5 Early 8 3 8 Sun D > 2 H < 5 Mid-day 4 1 9 Sun D > 2 H < 5 Late 5 3 10 Sun D > 2 H >= 5 Early 6 0 11 Sun D > 2 H >= 5 Mid-day 0 0 12 Sun D > 2 H >= 5 Late 1 1 13 Shade D <= 2 H < 5 Early 34 11 14 Shade D <= 2 H < 5 Mid-day 69 20 15 Shade D <= 2 H < 5 Late 18 10 16 Shade D <= 2 H >= 5 Early 31 5 17 Shade D <= 2 H >= 5 Mid-day 55 4 18 Shade D <= 2 H >= 5 Late 13 3 19 Shade D > 2 H < 5 Early 17 15 20 Shade D > 2 H < 5 Mid-day 60 32 21 Shade D > 2 H < 5 Late 8 8 22 Shade D > 2 H >= 5 Early 12 1 23 Shade D > 2 H >= 5 Mid-day 21 5 24 Shade D > 2 H >= 5 Late 4 4 Description: These data describe the daytime habits of two species of lizards, grahami and opalinus. They were collected by observing occupied sites or perches and recording the appropriate description, namely species involved, time of the day, height and diameter of the perch and whether the site was sunny or shaded. Time of the day is recorded as early, mid-day or late. Format: - Site A factor with levels Sun and Shade. - Diameter A factor with levels D <= 2 and D > 2 (inches). - Height A factor with levels H < 5 and H >= 5 (feet). - Time A factor with levels Early, Mid-day and Late. - grahami A numeric vector giving the observed sample size for grahami lizards. - opalinus A numeric vector giving the observed sample size for opalinus lizards. Task: Model the total number of lizards. Consequently, model the probability that a particular lizard is grahami.