A line with fixed slope is used to model the points ,

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

Problem

A line with fixed slope

2

is used to model the points

(1,4)

(2,5)

, and

(4,9)

, where the point

(2,5)

is counted twice as heavily as each of the others. Which value of the intercept

b

minimizes the weighted sum

\displaystyle (4-(2\cdot1+b))^{2}+2\bigl(5-(2\cdot2+b)\bigr)^{2}+\bigl(9-(2\cdot4+b)\bigr)^{2}

? (a)

1.50

(b)

1.25

(c)

1.00

(d)

1.\overline{3}