Question

To determine the acceleration due to gravity applying linear least square
regression method by using a simple pendulum.

Answer 1

The period T of a simple pendulum is represented by the formula, $T=2\pi \sqrt{L/g}$

Now, square both sides

$T^2=\frac{4\pi^2 L^2}{g}$

$g=\frac{4\pi^2 L^2}{T^2}$