First of all, I'm not a statistician, but I'm teaching myself some methods I require for a project I'm doing now.
I have a 2D dataset of N observations. For the ith observation, the first entry is the estimated number of lines in the ith chapter of a book, and the second entry is the actual number of lines in that chapter.
All the values are large (so I guess there's no point on using Poisson distributions), and after taking log to both entries I get a nice line. There is no heteroscedasticity, and the distribution of residuals seems to be normal. My question is, should I anyway necessarily use methods for count data? If not, how could I justify it? If yes, a negative binomial distribution would do the trick?