For a certain pendulum, periods of T = 1.176, 1.660212, 2.03126 and 2.343797 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 33.5469 units.
• Use your equation to determine the length of a pendulum whose period is 2.813368 seconds.