Explain why option A is right. give me explaination in detail. Dont use chat gpt

Consider a OLE regression problem (no regularization) in which the task is to predict y given x. Both y and x are one-dimensional. To learn non-linear surfaces, we use basis function expansion method in which x is replaced by a vector with p elements using p polynomials. (x)={x0,x1,,xp} For a given training data set, the resulting curve is plotted in the original space for different p. Consider the following four curves learnt using four different values of p. Choose the correct assignment below. (a) Curve 1 (b) Curve 2 (c) Curve 3 (d) Curve 4 (a) Curve 1: p=0, Curve 2: p=1, Curve 3: p=2, Curve 4: p=10 (b) Curve 1: p=0, Curve 2: p=0, Curve 3: p=2, Curve 4: p=10 (c) Curve 1: p=1, Curve 2: p=2, Curve 3: p=3, Curve 4: p=10 (d) Curve 1: p=10, Curve 2: p=2, Curve 3: p=1, Curve 4: p=0