The grill was covered in a greasy residue from the hamburgers. The divorce left a residue of pain in the family. There was some kind of sticky residue on the floor. She left the residue of her estate to her daughter.

For example, the predicted value of the first observation would be: y = 29.63 + 0.7553* (8) = 35.67 We can then calculate the residual for this observation as: Residual = Observed value – Predicted value = 41 – 35.67 = 5.33

Worked Example Calculating Residues Example: ez/z3 By expanding ezas a Taylor series, we see that f(z) = ez/z3has a Laurent expansion about z = 0 given by z−3+ z−2+1 2 z −1+1 3!+ ···. Hence the residue is1 2(the coefficient of z −1).