Calculating Moment of Inertia from Ball Accelerations

[Jonas]

Homework Statement

Find moment of inertia and statistical error given these accelerations.

Relevant Equations

I=1/2*∑m*di^2

Hey guys.
Im trying to figure out how to calculate the moment of inertia from a homogeneous ball based on a series of accelerations.
The ball is released from the top of an incline plane (3.33 deg) and with a motion sensor, 5 values of acceleration where captured . Together with the radius and mass of the ball, this is what i have. Now, i know how to integrate from mass and radius to find the moment of inertia, but here it is supposed to be calculated with the help of these given accelerations, with statistical error. I cannot seem to find a way to do that.
If any of you have an idea, i'd be very thankful!

Regards.

 

[jbriggs444]

If the moment of inertia were equal to $kmr^2$ for some value of $k$, what acceleration would you expect to have measured?