Suppose we want to perform a polynomial regression of degree d on a training dataset {(xi, y;)} with N=10 points. What value of d should we choose if we want our model function

Database System Concepts
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ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Suppose we want to perform a polynomial regression of degree d on a training dataset
{(xj, Y;)} with N=10 points. What value of d should we choose if we want our model
function
p(x) = wo + w1x + w2x2 + w3x3 +
+ Waxd
...
to fit all 10 points exactly, i.e. a polynomial interpolation such that p(x;) is exactly equal
to y; for i=1,2,3,..,10?
Transcribed Image Text:Suppose we want to perform a polynomial regression of degree d on a training dataset {(xj, Y;)} with N=10 points. What value of d should we choose if we want our model function p(x) = wo + w1x + w2x2 + w3x3 + + Waxd ... to fit all 10 points exactly, i.e. a polynomial interpolation such that p(x;) is exactly equal to y; for i=1,2,3,..,10?
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