Suppose n = 4, p = 1, y = (1.2,0.5,1.3,2.7), x = (0,1,2,3). Using the results in the previous two exercises, show that k2 = 0.5700, k3 = 0.8389, with variance 6.59σ

6 under normality, and l3 = 0.8390 with variance 4.55σ

6 under normality. Compare with Anscombe (1961, p.15) and Pukelsheim

(1980, p.110). Show also that k22 = 0.6916 and k4 = 0.7547.