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      Question

      In a regression analysis, if the total sum of squares

      (SST) is 250 and the explained sum of squares (SSR) is 200, the coefficient of determination (R²) is:
      A 0.80 Correct Answer Incorrect Answer
      B 1.25 Correct Answer Incorrect Answer
      C 0.20 Correct Answer Incorrect Answer
      D 0.25 Correct Answer Incorrect Answer
      E 0.50 Correct Answer Incorrect Answer

      Solution

      • The  Coefficient of Determination (R²)  measures the proportion of the total variation in the dependent variable (Y) that is explained by the independent variable(s) (X) in the regression model.
        Formula: R² = SSR / SST
        Where:
        • SSR (Explained Sum of Squares) = Variation explained by the model.
        • SST (Total Sum of Squares) = Total variation in Y.
          Given: SSR = 200, SST = 250.
          R² = 200 / 250 =  0.80 or 80% .
          This means 80% of the variation in Y is explained by X in the model.

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