The four data points , ,

MATHEMATICS · Single correct · A Level · Mathematics · Data presentation and interpretation · Data presentation and interpretation

Problem

The four data points (1,2)(1,2), (2,1)(2,1), (3,4)(3,4), and (4,3)(4,3) are to be approximated by the line y=mx+by=mx+b that minimizes the total squared vertical error. Which ordered pair (m,b)(m,b) gives this best-fit line? (a) (1, 35)\left(1,\,\dfrac{3}{5}\right) (b) (75, −1)\left(\dfrac{7}{5},\,-1\right) (c) (35, 1)\left(\dfrac{3}{5},\,1\right) (d) (35, 52)\left(\dfrac{3}{5},\,\dfrac{5}{2}\right)

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