Difference Between R Squared and Adjusted R Squared

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R Squared vs Adjusted R Squared  

The difference between R Squared and Adjusted R Squared is that R Squared is the type of measurement that represent the dependent variable variations in statistics, where Adjusted R Squared is a new version of the R Squared that adjust the variable predictors in regression models. 

R Squared vs Adjusted R Squared

R Squared is a demographical type of measurement that shows the variable dissimilarities. This measuring method helps to show the proportional dispute of the dependent variable had described by the independent variable.

In Contrast, Adjusted R Square is the statistical measurement and a new modified version for R Square. The predictors that do not appear in a regression model had taken by the Adjusted R Squared method. 

Comparison Table

Parameters of ComparisonR Squared Adjusted R Squared 
Meaning  A statistical measurement uses to explain the dependent and independent variables. Adjusted R Squared is a measurement that predicts the regression variables.   
Symbol R Squared had symbolized as R^2. It had shown as Adjusted R^2.  
Introduced      R Squared had introduced by Galton where he is the creator of correlationAdjusted R Squared is the new version model for the R Squared model. 
Formula   The formula of R Squared is R^2 = 1-(RSS/TSS). Formulas depend upon the solving models in the Adjusted R Squared model.  
Difference R Squared is a demographical measuring that use to find the coefficient by using dependent and independent variables. Adjusted R Squared model will take additional input variable that predicts to solve the problems. 

What is R Squared?  

R Squared is a demographical measuring use to represents the contradictions between dependent and independent variables. The variances which are proportional are the dependent variable had described by the independent variable.

       R^2 = 1-(RSS/TSS)   

Where the above terms describe as follows,   

R^2 = coefficient determination   

RSS = Sum of Squares of Residuals   

TSS = Total Sum of Squares   

The R Squared model cannot calculate mathematically where the values will take directly from graphs. The points of the R Squared model cannot be adjustable and, these are true values.

What is Adjusted R Squared?

Adjusted R Squared is a facsimile that had derived from R Squared. The Adjusted R Squared will alter the predictors in the models.

Adjusted R Squared model will take additional input variable that predicts to solve the problems. These values will calculate and, it gives the desired values than the R Squared model.

An individual will take the nearby values by taking from R Squared values. This measurement adjusts the points to fit the curve in the graphical method.

Main Differences Between R Squared and Adjusted R Squared   

  1. R Squared method had used to take the values originally where Adjusted R Squared values had been calculated mathematically.   
  2. Adjusted R Squared measurement requires the R Squared points for calculations.   

References 

  1. https://online.ucpress.edu/collabra/article-abstract/6/1/45/114458
  2. https://www.tandfonline.com/doi/abs/10.1080/00031305.2016.120048
  3. https://www.sciencedirect.com/science/article/pii/S0167715210001288
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