Three data points ,

MATHEMATICS · Single correct · AP · AP Statistics · Exploring Two-Variable Data · Exploring Two-Variable Data

Problem

Three data points

(1,2)

(2,3)

, and

(3,5)

are to be modeled by a curve of the form

y=kx

. Determine the value of

k

that minimizes the sum of squared vertical deviations between the curve and the data. (a)

\dfrac{31}{18}

(b)

\dfrac{10}{7}

(c)

\dfrac{23}{14}

(d)

\dfrac{5}{3}