For a certain pendulum, periods of T = .91, 1.291681, 1.58539 and 1.83345 seconds are observed for respective lengths L = 7, 14, 21 and 28 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 51.19815 units.
• Use your equation to determine the length of a pendulum whose period is 2.424873 seconds.