# Linear regression or average percent change?

I have 12 (1 year's worth) values and I want to determine the trend and represent the trend as a positive or negative figure. What is the difference in using linear regression versus the monthly percent change averaged?

-
If you do it properly, the average monthly percentage change involves taking the 11th root of the product of the $1+\frac{P_i}{100}$ terms, in which case it will depend on the first and last terms only, ignoring all intermediate months.