A company studying the productivity of its employees on a new information system was interested in determining if the age (X) of data entry operators influenced the number of completed entries made per hour (Y). The regression equation is y = 14.374 - 0.145x. Suppose the actual completed entries per hour for an operator who is 35 years old was 8. What is the residual? (Round to one decimal place.)

Question

Emilia Kidd

Mathematics

10 December, 18:55

A company studying the productivity of its employees on a new information system was interested in determining if the age (X) of data entry operators influenced the number of completed entries made per hour (Y). The regression equation is y = 14.374 - 0.145x. Suppose the actual completed entries per hour for an operator who is 35 years old was 8. What is the residual? (Round to one decimal place.)

+2

Answers (1)

Know the Answer?

Jellybean · Answer 1

Answer: Residual = - 1.3

Step-by-step explanation:

The residual is the difference between the observed value of the dependent variable (y) and the predicted value (ŷ) is called the residual (e), This way, Residual = Observed value - Predicted value

Observed: x = 35 y = 8

Predicted: y = 14.374 - 0.145x.

y = 14.374 - 0.145*35

y = 14.374 - 5.075

y = 9.299 = 9.3

Residual (e) = 8 - 9.3 = - 1.3