The production department of Celltronics International wants to explore the rela
ID: 3219501 • 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, 3 employees were assigned to assemble the subassemblies. They produced 16 during a one-hour period. Then 5 employees assembled them. They produced 27 during a one-hour period. The complete set of paired observations follows.
Compute the correlation coefficient. (Negative amounts should be indicated by a minus sign. Round sx, sy and r to 3 decimal places.)
Number ofAssemblers One-Hour
Production (units) 3 16 5 27 2 11 6 50 4 36
Explanation / Answer
X
Y
X-Xbar
Y-Ybar
(X-Xbar)^2
(Y-Ybar)^2
(X-Xbar)(Y-Ybar)
3
16
-1
-12
1
144
12
5
27
1
-1
1
1
-1
2
11
-2
-17
4
289
34
6
50
2
22
4
484
44
4
36
0
8
0
64
0
20
140
0
0
10
982
89
5
5
5
5
5
5
5
4
28
0.0
0.0
2.0
196.400
17.800
Xbar – 4
Ybar – 28
Sx-10
Sy-982
r-0.898
X
Y
X-Xbar
Y-Ybar
(X-Xbar)^2
(Y-Ybar)^2
(X-Xbar)(Y-Ybar)
3
16
-1
-12
1
144
12
5
27
1
-1
1
1
-1
2
11
-2
-17
4
289
34
6
50
2
22
4
484
44
4
36
0
8
0
64
0
20
140
0
0
10
982
89
5
5
5
5
5
5
5
4
28
0.0
0.0
2.0
196.400
17.800
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