assuming that SSy is constant which of the following correla

assuming that SSy is constant, which of the following correlations would have the largest SSresidual?

there is no relationsho]ip btween the correlation and SSresidual, r=+0.40, r=-0.70, r=-0.10

can anyone help me out please?

Solution

R^2= 1 - SS(res) / SST

and SST = SSy

so, the highest SSres will be for correlation with smallest magnitude.

r=-0.10