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
|
4
|
|
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
|
( )2
|
( )( )
|
|
2
|
6
|
|
-4
|
|
16
|
|
|
4
|
10
|
1
|
|
1
|
|
0
|
|
1
|
4
|
|
-6
|
|
36
|
|
|
5
|
18
|
2
|
|
4
|
|
16
|
|
3
|
12
|
|
2
|
0
|
|
0
|