# Question: Each workstation in the final assembly area of a large

Each workstation in the final assembly area of a large manufacturing facility has a “backlog” area to hold units that are to be processed. A production engineer believes there could be a relationship between the number of units in the backlog area and the productivity of the worker. Specifically, the engineer thinks increasing the number of units in the backlog area might lead to workers being more in a hurry to “catch up,” hence increasing their productivity. The data in file XR17061 show the results of a test in which the engineer tried various backlog levels and measured productivity at 50 different workstations. Generate a scatter diagram relating y = productivity (units/hour) to x = number of units in the backlog area, then apply an appropriate polynomial model to fit the data. Does there appear to be any relationship between the variables? How much of the variation in productivity is explained by the model?

**View Solution:**## Answer to relevant Questions

The data in the table show the number of years it took for selected technological innovations to spread to 25% of the U.S. population. The data are also in file XR17062. For y = years to spread and x = years past 1800 (e.g., ...For the loan delinquency data in Exercise 17.64 and listed in file XR17064, fit a multiplicative model and use it to estimate the delinquency rate for all insured commercial bank loans when the delinquency rates for credit ...As indicated in the chapter-opening vignette, the National Football League quarterback passer rating is somewhat of a mystery to most observers. Data file XR17073 includes the passer rating for 32 NFL quarterbacks during the ...For the data in Exercise 18.9, determine the centered moving average for N = 2; for N = 4. In exercise For the data of Exercise 18.15: a. Fit an exponentially smoothed curve with smoothing constant α = 0.6. b. For these data, describe the appearance of the exponentially smoothed curve when the smoothing constant is α = 0.0; ...Post your question