For a certain pendulum, periods of T = .434, .5452316, .6230828 and .6849713 seconds are observed for respective lengths L = 8, 16, 24 and 32 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 43.29402 units.
• Use your equation to determine the length of a pendulum whose period is 1.326279 seconds.