Mathematics, 21.02.2020 16:20 ag1606

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, 2 employees were assigned to assemble the subassemblies. 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 paired observations follows.

Number of Assemblers One Hour of Production (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.

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