The answer is you cant know that’s why it would be crazy to model it that way. With the infinite possible exponential functions that could fit this curve.
Nope. There isn’t an infinite number of linear functions that will fit this curve. Based on the slope and y intercept there is only one linear function. There may be other approximations but only one line of best fit that will predict future outcomes.
But this takes only into consideration the two selected point used to calculate the the slope and intercept. All other point will not exactly lie on linear function.
And as you can choose any combination of two point you will get again infinitely many different parametrization a of the linear model.
Could you please show us how to determine whether the shown function graph is linear or exponential or something else?
What am I your math teacher? Here buddy, rise over run.
Thanks a lot. But how does this exclude, that it might be an exponential?
Great question! Why dont you try to answer it.
Because I don’t know how to.
The answer is you cant know that’s why it would be crazy to model it that way. With the infinite possible exponential functions that could fit this curve.
But isn’t the same true also for a linear model, which of the infinite possible linear functions could fit this curve?
Nope. There isn’t an infinite number of linear functions that will fit this curve. Based on the slope and y intercept there is only one linear function. There may be other approximations but only one line of best fit that will predict future outcomes.
But this takes only into consideration the two selected point used to calculate the the slope and intercept. All other point will not exactly lie on linear function. And as you can choose any combination of two point you will get again infinitely many different parametrization a of the linear model.