Question: Show that Eq. (3.5.14) in fact measures the coefficient of determination. Apply the definition of r given in Eq. (3.5.13) and recall that Σy i

Show that Eq. (3.5.14) in fact measures the coefficient of determination.

Apply the definition of r given in Eq. (3.5.13) and recall that Σyiŷi = Σ(ŷi + ûi)ŷi = Σ ŷi2, and remember Eq. (3.5.6).

Equation (3.5.13)

Σxy / (Σx?) (ΣΥ?) η ΣΧΥ-(ΣΧ)(Σ Υ) [μΣΧ - (ΣΧ);]μ ΣΥ - (Σ] || ||


Equation (3.5.6)

Σ: .2 R? = Σ ? ||


xy / (x?) (?) -()( ) [ - ();] - (] || || : .2 R? = ? ||

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