<P> There are several definitions of R that are only sometimes equivalent . One class of such cases includes that of simple linear regression where r is used instead of R. When an intercept is included , then r is simply the square of the sample correlation coefficient ( i.e. , r ) between the observed outcomes and the observed predictor values . If additional regressors are included , R is the square of the coefficient of multiple correlation . In both such cases , the coefficient of determination ranges from 0 to 1 . </P>
<P> There are several definitions of R that are only sometimes equivalent . One class of such cases includes that of simple linear regression where r is used instead of R. When an intercept is included , then r is simply the square of the sample correlation coefficient ( i.e. , r ) between the observed outcomes and the observed predictor values . If additional regressors are included , R is the square of the coefficient of multiple correlation . In both such cases , the coefficient of determination ranges from 0 to 1 . </P>
in simple linear regression r2 is the ​
in simple linear regression r2 is the ​
the square of the sample correlation coefficient ( i.e. , r ) between the observed outcomes and the observed predictor values
the square of the sample correlation coefficient ( i.e. , r ) between the observed outcomes and the observed predictor values