Question: Suppose we fit a curve with basis functions: [ b _ 1 ( X ) = ( X + 3 ) I ( X <

Suppose we fit a curve with basis functions:
[ b_1(X)=(X+3) I(X<0)+(X-3) I(X >=0); b_2(X)=X^2 I(0<= X <=5)+I(3<= X <=5)]
We fit the linear regression model Y=\beta _0+\beta _1 b_1(X)+\beta _2 b_2(X)+\epsi a
[\beta _0=1; \beta _1=1; \beta _2=1]
What is the value of Y when X=4?

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