(solution) The production department of Celltronics International wants to

(solution) The production department of Celltronics International wants to

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 9 during a one-hour period. Then 4 employees assembled them. They produced 15 during a one-hour period. The complete set of paired observations follows.

 

Number of
Assemblers
One-Hour
Production (units)
2 9
4 15
1 4
5 16
3 11

 

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?

 

   
    (Click to select)NoYes , as the number of assemblers (Click to select)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 ( )2 ( )( )
2   9      -2      4     
4   15   1      1      4  
1   4      -7      49     
5   16   2      4      10  
3   11      0   0      0  
                

 

=    =   sx =   

 

sy =     r =  

References eBook & Resources

Number of One-Hour Assemblers
2
4
1
5
3 Production (units)
9
15
4
16
11 x y
2
4
1
5
3 9
15
4
16
11
15 xbar
ybar
Sx
Sy
Sxy
r 3
11
10
94
30
0.9784921096 x-xbar
-1
1
-2
2
0
55 correlation y-ybar…