How is the data represented on a scatterplot that depicts an exponential model

points on a curvy line.

There are two mathematical laws that can be used to depict data represented on a scatterplot:

- linear law: y = m·x + b

- exponential law: y = kaˣ 

They have a few common characteristics: 

- they depend on parameters (m and k);

- they describe a direct proportionality;

The difference is that for a linear law it is constant the ratio between the increment on the y-values and the increment on the x-values, resulting in a straight line; on the contrary, for an exponential law it is constant the ratio between the value of the function at (x + 1) and the value of the function at x, therefore the ratio between the increments keeps increasing, resulting in a curvy line.Hence, if the data follow an exponential model, on a scatterplot the points would lie on a curvy line.

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