A manufacturing manager uses a dexterity test on 20 current employees in order to predict watch production based on time to completion (in seconds). A portion of the data is shown below.

Time (seconds)......................Watches per Shift

513.......................................................23

608.......................................................19

⋮............................................................⋮

437.......................................................20

a. Estimate the linear model: Watches = β0 + β1 Time + ε. Interpret the slope coefficient. If the time required to complete the dexterity test is 550 seconds, what is the predicted watch production?

b. Estimate the logarithmic model: Watches = β0 + β1 In (Time) + ε. Interpret the slope coefficient. If the time required to complete the dexterity test is 550 seconds, what is the predicted watch production?

c. Which model provides a better fit? Explain.