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predictFFF=function(y,x,new){
z=2*pi*x/max(x)
nwz=2*pi*new/max(x)
nwX=data.frame(unos=rep(1,length(new)),X=new,X2=(new^2)/2,X3=cos(nwz),X4=sin(nwz))
n=3+2*abs(sqrt(length(x)))
m=trunc((n-5)/2)
for(i in (1:m))
{X5=cos(2*i*nwz)
X6=sin(2*i*nwz)
nwX=cbind(nwX,X5,X6)}
X=data.frame(X=x,X2=(x^2)/2,X3=cos(z),X4=sin(z))
for(i in (1:m))
{X5=cos(2*i*z)
X6=sin(2*i*z)
X=cbind(X,X5,X6)}
mod=lm(y~as.matrix(X))
coef=as.matrix(mod$coefficients)
nwX=as.matrix(nwX)
C=dim(nwX)[2]
M=nwX[,2:C]
datos=data.frame(X,y)
M=data.frame(M)
predicciones=predict(lm(y~.,data=datos),M,interval="confidence")
list(fitted=lm(y~as.matrix(X))$fitted,residuals=lm(y~as.matrix(X))$residuals, pronosticos=predicciones,X=as.matrix(X),nwX=nwX,M=M,coef=coef)}
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