# What is RMSE?

RMSE is the root-mean-square error, defined as sqrt(mean(e_1^2)) where e_1 is the list of residuals of the regression. The RMSE is used in cases where there is not a clear distinction between the independent and dependent variables in a model. Depending on the form of the model, there are 3 different statistics that might be shown:

The Pearson correlation coefficient, r: appropriate when regressing a linear model with both slope and intercept, e.g. y_1 ~ m x_1 + b

The coefficient of determination, R^2: appropriate for non-linear models of the form y_1 ~ f(x_1, x_2, ...)

The root-mean-square error: appropriate for general models of the form f(y_1) ~ g(x_1), or h(x_1, y_1) ~ 0.

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• Стилиян Петров

i still don't understand nothing!

• Michael Chauvin

What if it only gives you capital R^2, then how do you find lowercase r?

Edited by Michael Chauvin
• Smcginley

How do I change to least squares? It only does rmse when i type in y_1~mx_1+b Edited by Smcginley
• Hassan Sheidaee

Hi
You can use these free online calculators:
https://www.agrimetsoft.com/calculators/Root%20Mean%20Square%20Error.aspx
It is so simple

• Yacine Naji

I still don't understand