Does the P value need to be "back- transformed" after logging one variable in Regression analyse? I have a data series, sediment concentration in water Vs Time. The data is not normal but I want to use regression and so have logged the sediment concentration (log10(x)). The residual and fit to model is now much better.
I want to use the P value and r squared values from the logged regression output. Do these need to be transformed back using e^x ?
Thanks.
[edit] This is being carried out in Excel using the data analysis tool: Picture linked here :
Excel output from log10concentration vS Time

NO
Consider if $p=0.05$. Then $e^p=1.05>1$, which is not a meaningful p-value.
In fact, raising any positive value (such as $e$) to any positive number (such as a p-value or $R^2$) results in a number greater than $1$.
Neither $R^2$ nor $p$ should exceed $1$.
