A growing segment of the textile industry in the United States is based on piecework, where in workers are paid for each unit they produce, instead of receiving an hourly wage. The manager of one such company has observed that inexperienced workers perform quite poorly, but they usually improve quickly. However, very experienced workers do not perform as well as expected. Analysts attribute this phenomenon to boredom. More experienced workers grow weary of the monotonous work and become less productive. In an attempt to learn more about piecework labor, a statistics practitioner took a random sample of workers with varying years of experience and counted the number of units each produced in 8 hours.

a. Write the equation of the model that you think would fit.

b. Perform a regression analysis using your model.

c. Describe how well the model fits.