The production department of NDB Electronics wants to explore the relationship between the number of employees who assemble a sub-assembly and the number produced. As an experiment, two employees were assigned to assemble the sub-assemblies. They produced 15 during a one-hour period. Then four employees assembled them. They produced 25 a one-hour period. The complete set of paired observations follows.
Number of Assemblers One- Hour Production (units)
The dependent variable is production; that is assumed that the level of production depends upon the number of employees.
a. Draw a scatter diagram.
b. Based on the scatter diagram, does there appear to be any relationship between the number assemblers and production? Explain.
c. Compute the coefficient of correlation.
d. Evaluate the strength of the relationship by computing the coefficient of determination.
This solution involves drawing a scatter diagram and computing coefficients of correlation to evaluate the strength of the relationship. All steps are shown with brief explanations.