Question: The production department of a company wants to explore the relationship between the number of employees who assemble a subassembly and the number produced. They produced 15 during a one hour period. Then 4 employees assembled them. They produced 25 during a one hour period. The complete set of pairs observations follows...

The dependent variable is a production; that is, it 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 seem to be a relation between the number of assemblers and production? Explain.
c. Compute the coefficient of correlation.
d. Evaluate the strength of the relationship by computing the coefficient of determination.
e. Is the coefficient of X significant?

Workers (X) 2 4 1 5 3
Production (Y) 15 25 10 40 30