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, two employees were assigned to assemble the subassemblies. They produced 15 during a one-hour period. Then four employees assembled them. They produced 25 during a one-hour period. The complete set of paired observations follows.

One-Hour

Number of Production

Assemblers (units)

2 ............15

4 ............25

1 ............10

5 ............40

3 ............30

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.