For a certain pendulum, periods of T = 1.078, 1.360222, 1.558425 and 1.716331 seconds are observed for respective lengths L = 10, 20, 30 and 40 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 53.90081 units.
• Use your equation to determine the length of a pendulum whose period is 2.401274 seconds.