Consider the three data points ,

MATHEMATICS · Subjective · AP · AP Statistics · Exploring Two-Variable Data · Exploring Two-Variable Data

Problem

Consider the three data points

(0,1)

(1,2)

, and

(2,2)

. A line

y=mx+b

is used to model these data. Define the total squared deviation

E(m,b)=\sum_{i=1}^{3}(y_i-(mx_i+b))^{2}

. Determine the ordered pair

(m,b)

that minimizes

E(m,b)