QUESTION: Page 25-26.

and

tradeoff. Shouldn't

always be able to be 0? Since we can always be lucky and just came up with a polynomial with

(number of sample points in

) degree that fits the sample points perfectly. Here since we try to keep

(number of hypothesis) to be 1, we assume we didn't look at the data (thus

) and just straight-forwardly set

(thus avoiding complex

), where

is the

degree perfect-fit polynomial. Wouldn't this case make

always possible to be 0?
Thank you so much!