For a certain pendulum, periods of T = .708, .8943636, 1.02536 and 1.129783 seconds are observed for respective lengths L = 4, 8, 12 and 16 units.

• Determine whether the transformation T -> T² or T -> T³ linearizes the function better.
• Determine the equation of the resulting straight line, and solve the equation for T.

• Use your equation to determine the period of a pendulum whose length is 21.87513 units.
• Use your equation to determine the length of a pendulum whose period is 1.474212 seconds.