So let's say I have 100 data points which contains the price and sales of a product. Just to start I assume that the relationship is of the form
Q = a - b*P
where P is the price and Q is the quantity. Now I know that if i run a regression model using this equation then
b*(P/Q) will give me point elasticity for each consecutive data point. My question is that I will have 99 elasticity values for the 100 data points, so what do I call as the overall elasticity, should I average the 99 elasticity values and call that as the final elasticity value?
I am new with the concept of elasticity, so pardon me if I am sounding horribly wrong with my logic.