For a certain pendulum, periods of T = .36, .5111941, .6275753 and .7258872 seconds are observed for respective lengths L = 9, 18, 27 and 36 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 21.21293 units.
• Use your equation to determine the length of a pendulum whose period is 1.334508 seconds.