[R] Orthogonal polynomials used by R

Ashim Kapoor @@h|mk@poor @end|ng |rom gm@||@com
Wed Nov 27 12:55:17 CET 2019

Dear All,

I have created a time trend by doing x<-1:93 because I have a time series
with 93 data points. Next I did :-

y = lm(series ~ poly(x,4))$residuals

to detrend series.

I choose this 4 as the order of my polynomial using cross validation/
checking the absence of trend in the residuals so I think I have not
overfit this series.

I wish to document the formula of poly(x,4). I am not able to find it in

Can someone please tell me what the formula for the orthogonal polynomial
used by R is ?

Thank you,

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