The production department of Celltronics International wants to explore the relationship between the number of employees who assemble a subassembly and the number produced. As an experiment, 3 employees were assigned to assemble the subassemblies. They produced 12 during a one-hour period. Then 5 employees assembled them. They produced 20 during a one-hour period. The complete set of paired observations follows.

Number of Assemblers One Hour of Production (units)
3 12
4 16
1 8
5 20
2 10

The dependent variable is production; that is, it is assumed that different levels of production result from a different number of employees.
(a) Draw a scatter diagram.
(b) Based on the scatter diagram, does there appear to be any relationship between the number of assemblers and production? Explain.
(c) Compute the correlation coefficient.