I would like to perform something like a linear regression on my distribution of data, but I'm interested in a trendline that estimates the minimum, not mean, value for each time bin. I'd like to do this in R.
The image below shows a scatterplot of the minimum value for each time bin. The black line is a typical linear regression, which estimates the mean. What I'd like is something like what I painted in red - an estimation of the minimum.
My data look like this:
Those are just the first few lines but you get the idea.