Author Question: Operations managers often use work sampling to estimate how much time workers spend on each ... (Read 93 times)

naturalchemist · **on:** Feb 14, 2020

Operations managers often use work sampling to estimate how much time workers spend on each operation. Work sampling—which involves observing workers at random points in time—was applied to the staff of the catalog sales department of a clothing manufacturer. The department applied regression to the following data collected for 40 consecutive working days:

TIME: y = Time spent (in hours) taking telephone orders during the day

ORDERS: x₁ = Number of telephone orders received during the day

WEEK: x₂ = 1 weekday, 0 if Saturday or Sunday

Consider the complete 2nd-order model:

E(y) = β₀ + β₁x₁ + β₂(x₁)² + β₃x₂ + β₄x₁x₂ + β₅(x₁)²x₂

Explain how to conduct a test to determine if a quadratic relationship between total order time and the number of orders taken is necessary in the regression model above. Specify the null and alternative hypotheses that are to be tested.

eliasc0401 · **Reply #1 on:** Feb 14, 2020

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