Question Details

(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...

 


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DATE ANSWERED

Sep 13, 2020

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