(a) Illustrate the partitioning of the sum of squares for simple linear regression by calculating the regression ANOVA table for the following data. Parents are often interested in predicting the eventual heights of their children. The following is a portion of the data taken from a study that might have been suggested by Galton's analysis.

(b) Analytically establish the partitioning of the sum of squares for simple linear regression by verifying (11.3.36).
(c) Prove that the two expressions for the regression sum of squares are, in fact, equal; that is, show that

Transcribed Image Text:

Height (inches)39 30 32 34 35 36 36 30 at age 2() Height (inches) 7 63 63 67 68 68 70 64 as an adult ()