Question about an experiment relating to Hooke's Law

[Kevin9679]

Homework Statement

So I have done an experiment where electrostatic force is measured by the angle displacement of a torsion balance. I graphed ln(theta) with respect to ln(R) where the voltage is kept constant. The problem is that assuming theta is in radians, it is very easy for the log of theta to be negative. So I am looking at a graph where points are to the left of the y-axis, and I have no idea if it's right or not. My lab instructor is not answering his emails over the weekend, so he's not answering me.

Another thing is that I have no idea how to do a best and worst slope analysis. I looked at an error analysis manual, and it said that you're supposed to "hand draw" the best and worst slopes, so that the line "clips" or "crosses" all error bars. But what if that's impossible? I am thoroughly confused.

2. Homework Equations [/b

theta=c1(R^n)(V2^p)

where n is the relationship between theta and R (and it's supposed to be -2), and p is the relationship between the voltage and theta (Is it 1? I'm not sure)

The Attempt at a Solution

Hopefully attached

 

[jbsteele]

is my graph. As you can see, the log of theta is negative for the most part. I'm not sure if this is correct or not. As for the best and worst slope analysis, I tried hand drawing the best and worst slopes in the graph, but it's difficult to do that when it's on the left side of the y-axis. Is there another way to do this?