Referring back to Subsection 7.3.3, test the need for a power transformation in each of the following problems from the previous chapter. Use all three constructed variables on each data set and compare results.

(a) Exercise 14.5.1.

(b) Exercise 14.5.2.

(c) Exercise 14.5.3.

(d) Exercise 14.5.4.

Table 15.10: Excretory characteristics.
Group I Group II z y1 y2 z y1 y2 24 17.6 5.15 31 18.1 9.00 32 13.4 5.75 23 19.7 5.30 17 20.3 4.35 32 16.9 9.85 30 22.3 7.55 20 23.7 3.60 30 20.5 8.50 18 19.2 4.05 27 18.5 10.25 23 18.0 4.40 25 12.1 5.95 31 14.8 7.15 30 12.0 6.30 28 15.6 7.25 28 10.1 5.45 21 16.2 5.30 24 14.7 3.75 20 14.1 3.10 26 14.8 5.10 15 17.5 2.40 27 14.4 4.05 26 14.1 4.25 24 19.1 5.80 16 22.5 1.55 Group III Group IV z y1 y2 z y1 y2 18 17.0 4.55 32 12.5 2.90 10 12.5 2.65 25 8.7 3.00 33 21.5 6.50 28 9.4 3.40 25 22.2 4.85 27 15.0 5.40 35 13.0 8.75 23 12.9 4.45 33 13.0 5.20 25 12.1 4.30 31 10.9 4.75 26 13.2 5.00 34 12.0 5.85 34 11.5 3.40 16 22.8 2.85 31 16.5 6.55 28 18.4 6.60

(e) Exercise 14.5.5.

(f) Exercise 14.5.6.