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1. R^2 and r^2 in multivariate regression to exponential function

r^2 and R^2 are not equal if there are more than one dependent variable. For example, in the linear case, r1^2 + r2^2 = R^2. I was hoping there was an analogous formula for an exponential function, something like R^2 = e^(r1^2 + r2^2), but it looks like (1) the answer is no and (2) you...
2. R^2 and r^2 in multivariate regression to exponential function

“Researchers and reviewers should be aware that R2 is inappropriate when used for demonstrating the performance or validity of a certain nonlinear model. It should ideally be removed from scientific literature dealing with nonlinear model fitting or at least be supplemented with other methods...
3. R^2 and r^2 in multivariate regression to exponential function

Same model. But essentially an unrelated question.
4. R^2 and r^2 in multivariate regression to exponential function

Although R^2 is not trivially equal to r^2, is there a way to derive R^2 from, or relate R^2 to, the combination of the separate correlations of the two independent variables with the dependent?
5. R^2 and r^2 in multivariate regression to exponential function

R^2 (model fit, correlation of Y-hat with Y) is r^2 (correlation of X with Y) in "simple linear regression." I have two explanatory variables and an OLS model fitted to an exponential curve, y = ae^(b1x1 + b2x2), so I gather the two are different. Is it still possible to derive one from the...
6. Predicting on Correlated Units

I have an OLS regression model built from independent xi- and yi-variables. The i-units are sufficiently spatially separated to be uncorrelated. The task is to use the model to predict values on a grid where the neighboring grid cells are strongly correlated in all x-variables. I have been...