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R-square-Adj-R-Square

Measures to Find accuracy :

Classification Regression
Confusion Matrix, Accuracy Score, True Positive Rate, F1 Score, Precision , Recall R-square & Adjusted R square

Formulas for Rsquare & Adjusted R square

1.R-square

  • R^2 = 1 - SSres / SStot
  • SSres = Sum of Residual or error
  • sum(yi - yi^)2 (Square because we have negative value)

  • 1.Here we found the best fit line
  • SStot = Sum of average total = sum(Yi - Y^ avg)2
  • 1.Here we found the average of best fit line then find the distance and then do summation.

Difference between R2 adj AND R2

1. Every time you add a independent variable to a model, the R-square increases, even if the independent variable is insignificant. It never declines. Whereas Adjusted R- squared increases only when independent variable is significant and affects dependept variable.
2. Adjusted r-squared value always be less than or equal to r-squared value.

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