The production department of Celltronics International desires to discover the relationship between the number of employees who assemble subassembly and number produced. As an experiment, two employees were assigned to assemble subassemblies. They produced 1 5 throughout 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 1 5
4 25
1 1 0
5 40
3 30
The dependent variable is production; that is, it is supposed that the level of production depends on the number of employees.
a. Draw a scatter diagram.
b. Based upon the scatter diagram, does there appear to be any relationship between the number of assemblers and production? Explain.
c. Calculate the coefficient of correlation.
d. Measure the strength of the relationship by computing the coefficient of determination.