I'm studying newton's Laws at the moment, and currently reading up on period of a pendulum:

T = 2π√(l/g)

If you can't read it. it's Period = 2 * PIE * Sqrt(l/g)

Where l is the length of the pendulum and g is the acceleration due to gravity.

I'm a bit confused when I finished an experiment on this topic. When I took my data and input it into excel as Period versus Length in meters and let excel put in a linear trend line and find the slope.I also did this again by rearranging the equation to give me T^2.

T^2 = (4π^2 l) / g

Which reads, Period squared = ( 4 * PIE ^2 * l ) / g

Where l is the length of the pendulum and g is the acceleration due to gravity.

Again, I plotted it on excel and it gave me a linear trend line and a slope.

The slope reading is3.6523from my data. What I want to figure out is if this rearranged equation giving me thatslopeagree with the theory (g = 9.81 m/s^2)

How would I actually show this?

I would be very thankful if someone can explain it and answer it as well. Thanks in advance.