I am doing a project in which I need characteristics for signal strength to distance. I have done measurements and made a curve fit of mean values. For a log-plot the model becomes linear and an RMSE value can be calculated.
Log Distance Model = -0.02872*x - 0.2217
RMSE = 0.0527
RMSE lines = -0.02872*x - 0.2217 $\pm$RMSE
However, when transforming the Log Distance Model to a Non-Log Distance Model, to get the real distances in meters. The upper and lower RMSE boundaries are not equal in magnitude ( $|$+RMSE$|$ $\neq$ $|$-RMSE$|$ ).
Non-Log Distance Model = 10^(Log Distance Model).
Non-Log RMSE lines = 10^(RMSE lines)
Am I doing it wrong? If so, how should I get RMSE values for the Non-Log Distance Model?
If it is correct, how is it logical that the $|$+RMSE$|$ $\neq$ $|$-RMSE$|$ ?
Best regards