Linear Algebra and Its Applications · Problem 3.3.2

Orthogonality — Gilbert Strang

Mathematics · least-squares-line-through-origin

Problem

Suppose the values

b_1 = 1

and

b_2 = 7

at times

t_1 = 1

and

t_2 = 2

are fitted by a line

b = Dt

through the origin. Solve

D = 1

and

2D = 7

by least squares, and sketch the best line.