Question: Finger dexterity, the ability to make precisely coordinated finger movements to grasp or assemble very small objects, is important in jewelry making. Subsequently, the manufacturing

Finger dexterity, the ability to make precisely coordinated finger movements to grasp or assemble very small objects, is important in jewelry making. Subsequently, the manufacturing manager at Gemco, a manufacturer of high-quality watches, wants to develop a regression model to predict the productivity (in watches per shift) of new employees based on dexterity. He has subjected a sample of 20 current employees to the O’Connor dexterity test in which the time required to place 3 pins in each of 100 small holes using tweezers is measured. A portion of the data is shown in the accompanying table.

Time (seconds) Watches per shift

513……………………………………….23

608……………………………………….19

⋮……………………………………………⋮

437……………………………………….20

a. Use Excel to estimate the model: Watches = β₀ + β₁Time + ε.

b. Interpret the coefficient of Time.

c. Explain why the y-intercept makes no practical sense in this particular problem.

d. Suppose a new employee takes 550 seconds on the dexterity test. How many watches per shift is she expected to produce?

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