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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)
26
410
14
518
312

 

The dependent variable is production; that is, it is assumed that different levels of production result from a different number of employees.

  
Click here for the Excel Data File
  

b.

A scatter diagram is provided below. Based on it, does there appear to be any relationship between the number of assemblers and production?

 

  
    , as the number of assemblers , 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.)

 

XY( )2( )2( )( )
2  6  [removed]  -4  [removed]  16  [removed]  
4  10  1  [removed]  1  [removed]  0  
1  4  [removed]  -6  [removed]  36  [removed]  
5  18  2  [removed]  4  [removed]  16  
3  12  [removed]  2  0  [removed]  0  
[removed]  [removed]    [removed]  [removed]  [removed]  

 

=  [removed]= [removed]sx=  [removed]

 

sy= [removed] r= [removed]
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