For a certain pendulum, periods of T = .882, 1.112007, 1.273437 and 1.401994 seconds are observed for respective lengths L = 5, 10, 15 and 20 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 13.09282 units.
• Use your equation to determine the length of a pendulum whose period is 2.074926 seconds.