Algebraic vs. Statistic Correlations

Proof by straight algebraic translation the condition (3.56) firstly it rewrites as  

Note that the inequality (3.57) becomes equality in the case of perfect identity between observed and predicted activity values, i.e., perfect 

At this point, after obvious simplifications and factorization may easily recognize and employ both the identities (3.52) and (3.54), specific to 

Yqbs ) YpRED I Ypjdj) I Yobs ) Yqbs Yqbs )]  

Therefore, there was proofed both the (qualitative) simplicity and the (quantitative) superiority of algebraic correlation factor. Many applications proof these statements also on dedicated molecular-biological or molecular-ecotoxicological cases. For instance, the specialization on modem bi-component molecular system, as concerned for the ionic liquids (IL) toxicological actions - is in next explicated by the general projective QSARform. 

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ALGEBRAIC VS. STATISTIC CORRELATION (FOR ALIPHATIC AMINES TOXICITY)... 

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