How do you know if the following data set is exponential: (0,120), (1, 180), (2, 270), (3, 405)?
The first pair of data
This means that should be:
Now you have to determine the value of
What I do is to use the second pair of data and write:
Applying logarithms (
So basically your data fit into:
(try with the other pairs to check)
If the function is
Is the given set exponential? Maybe; it depends upon what you mean. The data could have arisen in other non-exponential ways (a polynomial with factors of
The data certainly fits an exponential model.