R2 {DiceEval}

Multiple R-Squared

Description

Coefficient of determination R^{2}

Usage

R2(Y, Ypred)

Arguments

Y

a real vector with the values of the output

Ypred

a real vector with the predicted values at the same inputs

Value

\code{R2}= 1 - \frac{SSE}{SST}

where SSE= \sum_{i=1}^{n} (Y(x_{i}) - \hat{Y}(x_{i})^{2} is the residual sum of squares

and SST= \sum_{i=1}^{n} (Y(x_{i}) - \bar{Y} )^{2} is the total sum of squares.

Note that the order of the input argument is important.

Author(s)

D. Dupuy

Examples

X	<- seq(-1,1,0.1)
Y	<- 3*X + rnorm(length(X),0,0.5)
Ypred	<- 3*X
print(R2(Y,Ypred))