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

Mathematics

Braeden George

7 August, 09:52

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.)

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Yamilet Gross · 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