A person starting a new job always takes a certain amount of time to adjust fully. In repetitive-task situations, such as on an assembly line, significant productivity gains can occur within a few days. In an experiment to study this phenomenon, the average amount of time required for a new employee to install electronic components in a computer was measured for her first 10 days. These data are shown here.

A first-order model and a second-order model were proposed.

a. Write the equation for each model.

b. Analyze both models. Determine whether they are valid.

c. Which model fits better? Explain.

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10 3 Day Mean times (minutes) 40 30 30 29 36 38 33 32 32 29 4. 2.