Hi, I have a paper that I'm reading and they propose an equation,

```
a = exp^{bT},
```

that is fitted to their measurements, and give the value of `b`

as well as the coefficient of determination. Is this sufficient information to constrain the value of the standard error, and if so, how might I go about doing that? Could I just add values sampled from a normal distribution with mean of zero; play around with the standard deviation of this distribution until I get something that gives me the target `R^2`

, and assume the standard error of that fit? (That's a form of bootstrapping?)

Thanks!