# Adjusted R Squared Calculator for Multiple Regression

Instructions: Use this calculator to compute the adjusted R-Squared coefficient for a multiple linear regression. Please input the data for the independent variables $$(X_i's)$$ and the dependent variable ($$Y$$), in form below:

Dependent variable sample data ($$Y$$, comma or space separated) =
X values (comma or space separated, press '\' for a new variable)
Independent variable Names (Comma separated. Optional) =
Dependent variable Name (optional) =

#### Adjusted R Squared for Multiple Linear Regression

The Adjusted R Squared coefficient is a correction to the common R-Squared coefficient (also know as coefficient of determination), which is particularly useful in the case of multiple regression with many predictors, because in that case, the estimated explained variation is overstated by R-Squared. The Adjusted R Squared coefficient is computed as:

$\text{Adj. } R^2 = \displaystyle 1 - \frac{(1-R^2)(n-1)}{n-k-1}$

where $$n$$ is the sample size, $$k$$ is the number of predictors (excluding the constant).

This solver is for a multiple linear regression. If you want to compute the Adjusted R Squared coefficient for a simple regression model, please use this adjusted R-Squared calculator for simple regression models calculator instead. Or, if you already know the value of the coefficient of determination $$R^2$$, the use this R Squared to Adjusted R Squared calculator. Also, if you need to estimate the regression model, use this multiple linear regression calculator.

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