How would you find the correlation coefficient from given Sum of Squares values (Regression and Error) and regression values - slope of the estimate and standard error?

Any help would be appreciated.

  • $\begingroup$ Results from simple linear regression or multiple linear regression? $\endgroup$
    – user158565
    Dec 9, 2018 at 23:11
  • $\begingroup$ Single linear regression $\endgroup$
    – Hannah L.
    Dec 9, 2018 at 23:18

1 Answer 1


For simple linear regression, the regression coefficient and correlation coefficient have following relation (when sum of square (SS) due to regression and error are know).

correlation coefficient = sign(slope) * sqrt[SS(regression)/SS(Total)]

SS(Total) = SS(regression)+SS(Error).

sign(slope) = 1 if slope >0. = -1 if slope < 0, and =0 if slope = 0.


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