The production department of Celltronics International wants to explore the rela
ID: 3200342 • Letter: T
Question
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 2 4 1 5 3
One-Hour Production (units) 9 15 4 16 11
Compute the correlation coefficient. (Negative amounts should be indicated by a minus sign. Round sx, sy and r to 3 decimal places.)
Explanation / Answer
Answer:
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 2 4 1 5 3
One-Hour Production (units) 9 15 4 16 11
X
Y
x-x
y-y
( x-x)2
( y-y)2
( x-x)( y-y)
2
9
-1
-2
1
4
2
4
15
1
4
1
16
4
1
4
-2
-7
4
49
14
5
16
2
5
4
25
10
3
11
0
0
0
0
0
Total
15
55
10
94
30
Mean
3
11
Sx=10
Sy=94
Sxy=30
r =30/sqrt(10*94)
= 0.978492
X
Y
x-x
y-y
( x-x)2
( y-y)2
( x-x)( y-y)
2
9
-1
-2
1
4
2
4
15
1
4
1
16
4
1
4
-2
-7
4
49
14
5
16
2
5
4
25
10
3
11
0
0
0
0
0
Total
15
55
10
94
30
Mean
3
11
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