Chapter 0, Problem 24P

The data in Table 0.5 are expected to obey the relationship y = kxⁿ. where k is a positive constant and n is a positive integer. Make several plots of the y values from the table as a function of xⁿ. where x represents the corresponding x values and n is an integer of your choosing. Find the value of n that produces a linearized plot. From your linearized plot, determine the value of k.

Table 0.5

x value	y value
0.40	0.125
0.80	0.512
1.2	1.73
1.4	2.75
1.8	5.83