Interpolate the following data set with Newton interpolation (P 3

(x)=b e

+b 1

(x−x 1

)+b 2

(x−x 1

)(x−x 2

)+b 3

(x−x 1

)(x−x 2

)(x−x 3

)) x i

∣1.0∣2.0∣3.0∣4.0
y i

∣−8.8∣⋅6.8∣−6∣2.6

The coefficient b e

is Answer: The coefficient b 1

is equal to Answer: The coefficient b 2

is equal to Answer: The coefficient b 3

is equal to