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Coefficient of Determination Calculator

The coefficient of determination calculator is designed to compute the R-squared value of a given regression model.

Coefficient of Determination (R2):

Correlation Coefficient (r):

Interpretation:

How to Use the Coefficient of Determination Calculator?

  1. First, enter the predictor (X) and observed (Y) values with a comma or space separator. Example: 5,10,15 or 5 10 15.
  2. Press the 'Calculate' button.
  3. Finally, the tool returns the coefficient of determination (R2) value associated with the given regression.
  4. The tool also gives the correlation coefficient (r) value with interpretation.

How to Calculate R-squared (R2)?

The R-squared (R2) value is calculated using the following formula:

SSR = Σ(yi - ŷi)2

SST = Σ(yi - ȳ)2

R2 =   1 - 
SSR
SST

Where,
SSR = Sum of squared residuals,
SST = Total sum of squares,
yi = Observed value,
ŷi = Predicted value,
ȳ = Mean (average) of the observed values.

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