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…