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suppose that for a given least-squares regression, the sum of squares for error is 100 and the sum of squares for regression is 105. find the coefficient of determination.



Answer :

51.21%  is the coefficient of determination.

What does coefficient of determination mean?

  • A statistical model's ability to predict a result is indicated by the coefficient of determination (R2), a value between 0 and 1.
  • The proportion of variation in the dependent variable that the statistical model predicts can be understood as the R2 value.

SST = SSE + SSR

Here, SSE = 100 and SSR = 105

SST = 100+105 = 205

Coefficient of determination , R^2 = 105/205  = 51.21%

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