I'm writing the paper on this experiment I just did. Basically I took sets of data for two variables (x,y) and I fit the points to a line in Origin to extract the value that I was trying to measure (J).
*Using generic variables here*
I found a value for J where
J = [8*∏*x*a(b+c)] / y
I did this by graphing the line
y(x) = [8*∏*a(b+c) / J] * x
and extracting J from the slope
The problem is reporting my value of J with an uncertainty. a, b, and c are distances that I measured only 1 time, so I know the uncertainty on those. However, x and y were both measured 10 times in 3 trials each. I fit the average of those 3 trials (10 data points) to a line to obtain J.
Anyone have experience with fitting a lot of data to a line and reporting uncertainties?
*Using generic variables here*
I found a value for J where
J = [8*∏*x*a(b+c)] / y
I did this by graphing the line
y(x) = [8*∏*a(b+c) / J] * x
and extracting J from the slope
The problem is reporting my value of J with an uncertainty. a, b, and c are distances that I measured only 1 time, so I know the uncertainty on those. However, x and y were both measured 10 times in 3 trials each. I fit the average of those 3 trials (10 data points) to a line to obtain J.
Anyone have experience with fitting a lot of data to a line and reporting uncertainties?
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