# Transformation of the datasets with negative numbers for exponential graph?

I have a simple question for data transformation for fitting my dataset to a negative exponential graph. There are negative values on my dataset which hinder fitting a negative exponential curve. How can I successfully transform my data in statistical way? My data is about Mantel correlation coefficients with distance. Here is my data.

Distance   Coefficients
1       0.7241232
2       0.19643728
3      -0.06509062
4      -0.16492022
5      -0.39367865
6      -0.50758682


What is the best way to transform this data?

• You could add a constant to the coefficients, but that destroys the meaning of it as a correlation; why do you need a negative exponential function? Would some other function be OK? – Peter Flom Nov 10 '13 at 12:54
• @PeterFlom I was suddently curious about finding the best way to make a exponential curve without destroying the meaning of the correlation. Thank you! – Kangmin Nov 10 '13 at 13:04 For guidance I have superimposed a token curve $\exp(-\text{Distance})$. The arbitrary constant $k = 1$ in $\exp(-k\,\text{Distance})$ is plucked out of the air and not a fit to your data, but neither steeper curves nor gentler curves with different $k$ could offer much improvement. (I have assumed that zero distance defines an origin.)