Jordan's Question from Facebook (About Regression)

[Sudharaka]

Jordan from Facebook writes:

Help please,

 

[Prove It]

Jordan from Facebook writes:

Help please,

If we assume that a model of the form \(\displaystyle \displaystyle \begin{align*} y = A + B\,e^{x} \end{align*}\) is appropriate, then we note that if we have \(\displaystyle \displaystyle \begin{align*} X = e^{x} \end{align*}\), then we have a nice linear equation \(\displaystyle \displaystyle \begin{align*} y = A + B\,X \end{align*}\).

So it would help to start by evaluating \(\displaystyle \displaystyle e^x \) at each point x, giving a new set of data which we can call X. Then perform a linear least squares regression for data set y against data set X.