 Solution

ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2019/paper-1/18/b/i/solution

x_{i}

. Thus the design matrix is

M = 11 ⋮ 1 x_{1} x_{2} ⋮ x_{n} .

Its

i

th row multiplied by the parameter vector

(α, β)^{T}

gives the required prediction

α + β x_{i}

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