Question: The management at a regional airfield, Palisades Point Jetport, recently reviewed the staffing levels in baggage handling. They wondered about the association between the number of handlers on duty daily and the number of lost bag complaints filed daily. Some randomly selected data is as follows, where the variable x represents the number of baggage handlers on duty and the variable y represents the number of lost bag complaints reported daily. [COMMENTS & HINTS: Use computer and/or calculator technology to your advantage so to minimize tedious calculations!]

x 25 20 36 40 24 32

y 7 9 2 1 6 5

1. Determine the centroid for this data set.
2. Graph a scatter plot of the data, using appropriate technology.
3. Determine the line of best fit for this data.
4. In words and within the context, describe the association or correlation between the two variables; include appropriate modifiers.
5. If 30 baggage handlers are on duty, predict the number of lost bag complaints, according to the model.
6. If 8 lost bag complaints were files, what’s the most likely number of baggage handlers on duty according to the model?
7. Determine the Pearson product moment correlation coefficient for this data.
8. What percentage of the variability can be credited to the linear relationship between the two variables?

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