11.1 The measurement of left ventricular volume of the heart is important for studies of cardiac physiology and clinical management of patients with heart disease. An indirect way of measuring the volume, y, involves a mea-surement called parallel conductance volume, x. Boltwood et al. (1989)

found an approximately linear association between y and x in a study of dogs under various “load” conditions. The results, reported by Glantz and Slinker (1990), are shown in Table 11.9.

(a) Conduct an exploratory analysis of these data.

(b) Let (Yjk,xjk) denote the kth measurement on dog j, (j = 1,...,5;k =

1,...,8). Fit the linear model E(Yjk) = µ = α +βxjk, Y ∼ N(µ,σ

2

),