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 17 during a one-hour period.

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 17 during a one-hour period. Then 5 employees assembled them. They produced 28 during a one-hour period. The complete set of paired observations follows.

 

Number of
Assemblers
One-Hour
Production (units)

3
17

5
28

2
8

6
34

4
23

 

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

( )( )

3
17

-5

25

5
28
1

1

6

2
8

-14

196

6
34
2

4

24

4
23

1
0

0

 

=

=

sx

=

 

sy

=

r
=

 
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