I think it is really unlikely that formula being tested. However the concept involved is important.
Have you gotten clear the concept of confidence interval? It is used for independent variables right?
CI = bi +/- standard error of coefficient x critical value
However, sometimes we want to make a CI for the DEPENDENT variable of the model. What’s that ?!
That formula you asking is used to build the CI of the dependent variable. Sf is the standard error of the model (SEE) adjusted by some wierd things. Statisticians know the derivation.
So your CI for the dependent variable is
CI = Y estimated +/- Sf x critical value.
Nothing more, nothing less.
Hope this helps!