We consider linear regression for a particular simple
We consider linear regression for a particular simple case: a single independent variable (p = 1),which we denote x; as always, a single dependent variable, y; a model with only n = 2 terms,Ymodel(x; ?) = ?0 + ?1x , (4)(hence h0(x) = 1, h1(x) = x); and m = 3 noisy measurements given by (x1 = 0, Y1 = 0),(x2 = 1, Y2 = 0), (x3 = 2, Y3 = 2). We denote by Y the 3 × 1 column vector (0 0 2)T, and by ?the 2 × 1 column vector (?0 ?1)T.(i) (3 points) The “regression matrix” X is given by
