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STATISTICS
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 6 during a one-hour period. Then 4 employees assembled them. They produced 10 during a one-hour period. The complete set of paired observations follows.
Number of Assemblers
One-Hour Production (units)
2
6
4
10
1
5
18
3
12
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? NoYes , as the number of assemblers, decreasesincreases, so does the production.
c. Compute the correlation coefficient. (Negative amounts should be indicated by a minus sign. Round sx, sy and r to 3 decimal places.)
X
Y
( )2
( )( )
-4
16
0
-6
36
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