Statistic problem
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, 3 employees were assigned to assemble the subassemblies. They produced 7 during a one-hour period. Then 5 employees assembled them. They produced 12 during a one-hour period. The complete set of paired observations follows.
|
Number of
Assemblers
|
One-Hour Production (units)
|
|
3
|
7
|
|
5
|
12
|
|
2
|
3
|
|
6
|
14
|
|
4
|
9
|
a. The dependent variable is production; that is, it is assumed that different levels of production result from a different number of employees.
b. A scatter diagram is provided below. Based on it, does there appear to be any relationship between the number of assemblers and production?
c. Compute the correlation coefficient.