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 (4−(2⋅1+b))2+2(5−(2⋅2+b))2+(9−(2⋅4+b))2?
a) 1.50
b) 1.25
c) 1.00
d) 1.3