In multiple linear regression, semi-partial correlations indicate the unique relation between a predictor (IV) and a response variable (DV).
What do the areas mean?
This is a Venn diagram representing the variance and correlations involved in a multiple linear regression analysis.
Question 1: Which areas represent the semi-partial correlations between the IVs and DV?
Question 2: What do the other labelled areas represent?
Answer 1: a and c
- a = semi-partial correlation between IV1 and DV (with the effect of IV2 removed)
- b = variance in the DV which is explained by both IV1 and IV2
- c = semi-partial correlation between IV2 and DV (with the effect of IV1 removed)
- d = variance in DV which is not explained by IV1 and IV2