+ + + + + +

Substituting x = 3.44 into Eq. (4.39) gives P2(3.44) = 0.876561 - 0.256080(3.44) + 0.0249333(3.44)2 = 0.290697 (4.40)

The error is Error (3.44) = P2(3.44) - 1(3.44) = 0.290697 - 0.290698 = -0.000001. For a linear polynomial, use x = 3.40 and 3.50 to center that data around x = 3.44.

The resulting linear polynomial is